diff --git "a/data/dm_maths/full_data/1014_11255.jsonl" "b/data/dm_maths/full_data/1014_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1014_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 214*m**2 - 214*m**2 + 6*m - 4*m**3 - 16*m.\nAnswer: -4*m**3 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 44. Let b be c(7). Suppose -6 - 279*h**3 + 160*h - 98 - 275*h**3 - b*h**2 + 556*h**3 = 0. Calculate h.\nAnswer: 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -4\/1591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143342 or -286?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.73 - 24.43. Let k = -20.2 - t. Let d = -1.8 - -1.8. Which is the closest to -0.03? (a) d (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 280\/216149?\nAnswer: 280\/216149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1. Let v = -35 - -32. Let r(p) = p + 7. Determine v*r(x) + 21*h(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*b - 33, 2*c - 40*b = -38*b + 18. What is the hundreds digit of -2*c\/(-10)*(708 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + -5966?\nAnswer: -5945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 77\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 6:27 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 191*l - 187*l + 6, -62 = -4*h - 2*l. Sort -2, 2, h, 28 in decreasing order.\nAnswer: 28, h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let y be p(-5). Suppose -j + y*o = -24, 6 = 4*j - 2*o - 0. Which is bigger: 1\/8 or j?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543*i + 725*i + 141482 = 381*i for i.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -80*i. Let k(s) be the first derivative of 40 + 0*s**2 + 0*s + 1\/3*s**3. Determine k(c(y)).\nAnswer: 6400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 51. Solve 4*g = -4*s + f, 0*s - 7 = -2*s - 3*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15 + 5 - -8)*(-1 + 0). Suppose -2*x = -3*i + 286, -b*i - i + 3*x = -285. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by 67.\nAnswer: -57\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4274 and -4.\nAnswer: -17096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(3*p**3 + 3*p**4 - 3*p**3 + (0*p**3 - p**3 + 0*p**3)*(-3*p - 2*p + 4*p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000201096044 to 6 decimal places.\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3388?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/142988 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481185081 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j**2. Let q(u) = 1318*u + 4. Give x(q(f)).\nAnswer: 17371240*f**2 + 105440*f + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -160271269.3 rounded to the nearest 1000000?\nAnswer: -160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 21000*l**4 + 11 - l + 0*l**2 + 20998*l**4 - 2 + 4*l**2 + 9*l**3 as w*l**4 + k + c*l**2 + u*l**3 + x*l and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0 + 0)*(-3 + 3 + 26*r**2) - 4*r**4 + 0*r**4 + 2*r**4.\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/(-3))\/(6\/27). Let t = 135 + i. Suppose 0*v + t = 5*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208343 (base 11) to base 16.\nAnswer: 51568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4565.29 + -4604. Let n = -3.8 - -41.8. Let h = x + n. What is h rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 4*g + 16, 0 = 3*p + 5*g + 20. Suppose p = q + 3*q - 20. Solve -17 = -q*c - 2*z, -4*c + 16 = -2*z + 3*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 720008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -15873.\nAnswer: -3174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -427 + 431. Which is the second smallest value? (a) d (b) -1\/86 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 11. Let o = -2 - p. Solve o*c = -1 - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*d - 2*v - 4, -3*d + 12 = -4*v. Suppose -20*j + 33*j - 2028 = d. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 2. Let v(o) = o**2 + 7*o + 7. Let a(x) = 7*n(x) + 2*v(x). Let d(z) = -2*z - 583. What is a(d(h))?\nAnswer: 8*h**2 + 4664*h + 679778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -511518*c**2 - 511522*c - 4 = 0.\nAnswer: -1, -2\/255759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16332572990 rounded to the nearest one million?\nAnswer: -16333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 - 270 = -4*y. Find the second derivative of 5 + y*m**2 + 1209*m - 1006*m - 4 - 1 wrt m.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18351 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173021.\nAnswer: 3, 41, 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1051*y - 480. Does 170 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 - a8?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from oooooopooopoo.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 3*b**2 - 17*b - 6*b + 28*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0)*-3 + sqrt(112) + 5)**2.\nAnswer: -80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 309 in 5, 4\/3, -114, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7727 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let z(m) = -2*m**2 - 28*m - 6. Let u(k) = 12*d(k) - 2*z(k). Find a such that u(a) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507947 is divided by 2988?\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + h = 58, -x - x + 34 = 4*h. Calculate the highest common divisor of 55 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*12\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 27*p**2 + 3*p - 1 + 1.\nAnswer: 27*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210*w - 370 + 950 + 260 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*g + 2430 = 0, -2*w + 3*g + 2428 = 8*g. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + 4 + 2 + -4 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176958659 divided by 38113?\nAnswer: 4643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -3*n**5\/10 + 5*n**4\/12 + 4*n. Find the third derivative of r(p) wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 14*b**3 - b + 2. Let a be q(1). Let f = 9 + a. Let c = f - 13. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 504\/224 - 2\/(-2)*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f = -11*z - 116, -183 = -3*f - f - 163 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 4 - (44 + -47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 85*q. Let a(c) = -4*c. Let s(u) = a(u) + h(u). Let f(g) = -2*g. Calculate s(f(d)).\nAnswer: -162*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by 25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - (-39 - -5)) + 3 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 10:55 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -3)\/2 + 8. Suppose s*v - 20 = -0*v. Let u be 17 - 2\/(-4)*-2. What is the highest common factor of v and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 2:25 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -94 - 14\/15*s**3 + 1\/10*s**4 + 11\/5*s**2 - 2*s. Factor f(n).\nAnswer: 2*(n - 5)*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5037 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79694509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2918.51ml to litres.\nAnswer: 2.91851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 4. Let q(w) = w**2 - 10*w - 15. Let f be q(11). Let c(n) = -2*n - 5. Give f*c(m) + 5*y(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (692\/1211)\/((-44)\/(-14)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58547 + 23500 = 1027*o + 376*o + 58954 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxw when three letters picked without replacement from xxvvzvxvxvzxzxvwv?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -3. Suppose -1 - d = -5*w - g, -g = -w + 5. Suppose -i - 3*k = -14, w*i + 3*k = k + 12. Solve i*m - 2 = -12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 43 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5249363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.025 + 27.975. Let m = y - 27. Which is the closest to 0.1? (a) m (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 115653285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(1\/6)*l\/l**(-6\/5)*l**(2\/9)*l**(-3\/11) assuming l is positive.\nAnswer: l**(3283\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.849 + -0.989. Let t = 0.86 - d. Sort -0.3, -2\/9, -0.4, t in increasing order.\nAnswer: t, -0.4, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71 in -0.2, 9, 24, 0.2, -0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 1256\/30 - (-268)\/2010.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(2))*-4.\nAnswer: -8 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 11*l**2 + l - 2. Suppose -5*t + 49 = 2*d - 0, -2*d = 3*t - 27. Let v be n(t). Suppose -3*z = -v - 6. Solve 1 - z = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (7 + -20 - -4)) + 1 + -8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 519505\/1987 or 261?\nAnswer: 519505\/1987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/12)\/(2*(-3)\/(-72)). Are k and -9 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -86, -0.2, -3, 2\/3.\nAnswer: -86, -5, -3, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/72*-4*2*3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 7*s - 21. Let h be i(-7). What is the units digit of 2080\/6 - 84\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -306 and -116.48?\nAnswer: 35642.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z. Let y(c) = -5302*c. What is o(y(n))?\nAnswer: -21208*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2797 and 429.\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -710*f**4 - f**3 - 419*f**2 - 55*f wrt f.\nAnswer: -17040*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 57*i - 8 + 23)*(-3689*i + 94 - 252 + 158) to j*i + g*i**2 + y and give j.\nAnswer: -3689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbeebb. What is prob of sequence bee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 10*d**2 + 14*d - 32. Let t be b(10). Which is bigger: t or 537\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(-12)\/(-972) - 7\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2, -5, -0.5, -1.\nAnswer: -5, -2, -1, -0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*u - 612 + 612)*(158*u + 1454 - 1454)*(-2*u + 4*u - u) to the form t*u**3 + c + g*u**2 + l*u and give t.\nAnswer: -3792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 h, and 1 g when four letters picked without replacement from {h: 7, z: 2, g: 4}.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76029114 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-5*l**5 + 2*l**5 + l**5) + 546*l**5 + 227*l**5 - 123*l**5 + (l + l**2 - l)*(5*l**3 + l**3 - 4*l**3).\nAnswer: 650*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53404 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 12, p: 5}. Give prob of sequence ff.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(sqrt(133)\/(-1*sqrt(7)) + 2 + (-2*sqrt(19))**2).\nAnswer: -394 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:17 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16651095449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-12 - -7) + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 35) + 19 + 18\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.116, 0.4, 2, -1 in descending order.\nAnswer: 2, 0.4, -0.116, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -846 in 0.3, -976, 8?\nAnswer: -976","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -239?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58527699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1585 + -1587. Let q = -0.17 + 0.2. Let s = -0.07 - q. Which is the nearest to 0.1? (a) 2 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1670*r - 1803*r = 2261 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180565 - 95565. Round n to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2449888 or -2449890?\nAnswer: -2449890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 10 + 10)*((2*u - 2*u + 2*u**2)*(-4 + 4 + 2*u) - u**3 + u**3 + u**3).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 79. Let o be t(38). Suppose 5 = -s, o*p + 2*s - 2 = -p. Solve 0 = -u + p + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57000299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-918)\/12)\/17 - (-1)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 10*j - 2524656 + 2522162 = 0 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(8) + (sqrt(8) - sqrt(16)\/sqrt(2)) + sqrt(8)))\/(sqrt(6)\/sqrt(3)*4).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7647 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*y = -4, -3*x - 26 = -0*x - 5*y. Let r be 0 + x + -2 + 2. Is 4 a factor of (r - -3)*10 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 6*j + 3. Let i be g(3). What is the second derivative of -12*t**2 + 69 - 8*t**3 - 2*t - 26 + 9*t**i wrt t?\nAnswer: 6*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -27 + (-13 - -8) - 35.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962 - 578 = 140*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (4 - 4) + -2 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + 11*5180\/(-770).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 34 = 4*j, -68 + 215 = 5*y - 3*j. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 + 0*r**4 + 0*r**5 + 0*r**6 - 1\/7*r**7 + 0*r - 8*r**2 - r**3. Differentiate v(i) with respect to i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/29)\/(g*g\/g**(4\/5)))\/(g**(-1\/9)*g**(1\/4)))**47 assuming g is positive.\nAnswer: g**(-345403\/5220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-1)*(76149\/(-6))\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -836, -24666, 2 in decreasing order.\nAnswer: 2, -836, -24666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 13 + 19. Let s(t) = 3*t + 5. What is the remainder when s(8) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*-6 - 88\/24\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:13 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 19376?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4 - 140*a**3 - 5668*a**2 - 53760*a - 147456 = 0. Calculate a.\nAnswer: -64, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -104*w**2 - 12*w - 3. Let c(o) = 2*o + 1. Calculate -6*c(t) - x(t).\nAnswer: 104*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -2, -0.7152 in descending order.\nAnswer: 0.8, -0.7152, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 9 = 5*k, 128*w + 41 = -3*k + 124*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 5*c - 2*c)*(6*c**4 + 0*c**4 - 5*c**4) + 5 - 5 - 5*c**5.\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -212*v**2 + 1033*v - 190. Determine g(5).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3234001 to three decimal places.\nAnswer: 0.323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b = 34*b + 5, 0 = -2*t + 4*b + 10. Suppose -4*k - 3*u - 7 = k, 3*k + u + 1 = 0. Solve 4*p = -t*g + k, -g - 2*p + 7 = p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) -3\/11 (c) 2\/593 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 20*z**2 + 8629*z - 34835. Calculate c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2342*y**2 - 7092*y + 173. Calculate r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2417198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from yggawajyagxaa?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6443059 years in months?\nAnswer: 7.7316708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 1021108416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**8\/560 + 4*a**7\/175 - 23*a**6\/200 + 7*a**5\/25 - 3*a**4\/10 - 2*a**2 + 62. Solve g(b) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*k + 26*k - 22*k)*(-88 - 85 + 71).\nAnswer: -204*k - 1632","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Let g be (268\/20 - (-38)\/(-95))*(-5)\/(-1). What is the greatest common divisor of g and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-15 - -16 - -10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 12*a + 68. Suppose 2*b + 2*b - 42 = 2*d, -a*d + 46 = 5*b. Let j(s) = 10*s - 2*s**2 - 10 - s**2 + 2*s**2. Calculate j(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 9*q - 228. Suppose -2*d = 4*g - 288, q = 3*g + 3*d - 159. Let z be 50\/(-12) - (-12)\/g. Which is the nearest to z? (a) -3\/7 (b) -1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -34 (c) -5826\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l - 1. Let u be (-6)\/(-33) + 62\/22. Let w be 38\/6 - u\/9. Let x be a(w). Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2 - (-40)\/15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4722 * 0.0518.\nAnswer: 0.02445996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 26 + 16 - 7 - 2)*(0*f**4 + 0*f**4 - 3*f**4) to the form m*f**4 + s + g*f**3 + j*f**2 + k*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*h - 21977 - 47290 = -1837*h for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 2 + 5 + q - 3*q**3 + 1 as w*q + h + x*q**3 + i*q**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 23*u + 18. Is k(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8249758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2278 - 2273. Solve -11*p = -z*h - 13*p - 3, -2*p = -2*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*k + 4*x = -771*k - 16, -25*x = -k + 126 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -128, -3, -9, 1\/2, 13, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 1180\/(-110) - -9*380\/23760.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -310076\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -13. Let d = 59 - l. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -5 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 - -2) + 198 + -205?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 62, -1, 0, 1 in descending order.\nAnswer: 62, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1106 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*l + 22 = 434. Let t = -2.96 + 3. What is the nearest to 0 in t, -2\/9, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 238, 550, 990?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014789731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2507 and -312941.8831.\nAnswer: -312941.6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 403796.\nAnswer: 4441756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 + q**5\/20 + 11*q**4\/24 + 7*q**3\/6 - 10*q**2. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5))\/z*z*z**(2\/13)\/z*z*z*z*z*z**(-5\/3)*z*z*z\/(z\/z**6)*z*z assuming z is positive.\nAnswer: z**(292\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*h + 9 = 2*o, -4*o + 3 = -h. Suppose j - 2*j - 2 = o. Does 5 divide j\/(-4) - (-252)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-11 + 11) - 13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1634094 by 462.\nAnswer: -3537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150304 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -210.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184a (base 14) to base 7.\nAnswer: -15523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 1. Let o be v(-1). Suppose -2*s - o = 3*i, i = s + 3*i + 2. Let r = -325.06 + 324.66. Which is the nearest to s? (a) r (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**3\/9 - 36*t**2 - 428*t\/3 - 1766. Factor f(j).\nAnswer: -(j + 2)*(j + 214)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 1240?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 24225.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 - 30990*m - 240095025 = 0. Calculate m.\nAnswer: -15495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -5*c - 14, c = 2*t + 2. Let l be ((-2)\/c)\/(10\/(-30)). Let s = 12 - 15. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4114 and -9\/14?\nAnswer: 28798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:38 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 10. Suppose -4*d = -0*l - 2*l + 34, -2*l + 31 = -3*d. Suppose -3 = 3*q, 0*k - 3*k = -4*q + l. Determine i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/9 - -187\/63. Let d(o) = -o**2 - 3*o - 5. Let z be d(-3). Which is the third biggest value? (a) 2\/3 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193375 is divided by 1835.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45375407 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*h - 6 = 0, 0*h = 3*a - 2*h + 5. Let b = 6 + -10. Let v = -47 - -47. Sort b, v, a.\nAnswer: b, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1551 divided by 38.\nAnswer: 1551\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 98672?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/4 - 2217*h**4 - 6636*h**3 + 48729*h**2\/2 + 26547*h\/4 - 44295\/2 = 0. Calculate h.\nAnswer: -2953, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {b: 1, i: 2, s: 4, f: 1, p: 3, c: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 4)*(121 - 121 - 22*i)*(2*i - i + i) - 3*i**2 - 4*i**2 + 5*i**2 in the form v*i**2 + p*i + s and give v.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/5)\/(12 + 496\/(-40)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*2*(sqrt(95) + -2*sqrt(95)))\/(2*sqrt(320) + sqrt(320) - sqrt(245)*1).\nAnswer: 48*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 8*u + 3. Determine f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-4) - (-101)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + -952407.32329\nAnswer: -952406.52329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17166 divided by -1?\nAnswer: -17166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - -166?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20418 = -o, -2*o + 0*o - 10212 = 2*l. Let a be l\/(-286) + 2\/13. Does a = 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 90 = 3*s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*p = -1005 - 25 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 118064*b + 16099692.\nAnswer: 4*(b - 29379)*(b - 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 328953961 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 3*t**3 + 3*t**3 - 5*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 932*p**6 + 20*p**4 + 2*p**3 + 1832757*p**2?\nAnswer: 111840*p**3 + 480*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/1176, -1\/2, -1\/26?\nAnswer: -1\/1176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by -31.\nAnswer: -162\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -252*x - 4705*x**2 - 1 + 4706*x**2 + 1 in the form u + k*x**2 + a*x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.3. Let c = -0.982 + 0.417. Let n = c + 0.325. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/(r\/(r*r\/(r\/r**(-14\/5))*r)))\/r*r*r\/(r\/r**(-2\/15)))\/(r*(r\/(r\/((r*r**(-15)\/r)\/r)))\/r*r*r\/r**16) assuming r is positive.\nAnswer: r**(466\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 5, -0.07, 1\/4, 0 in decreasing order.\nAnswer: 7, 5, 4, 1\/4, 0, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.0679?\nAnswer: -0.4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10f + db?\nAnswer: 1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 7*r + 4. Let w be u(-3). Suppose -2*f + j = -342, -w*f + 2*j = -7*f - 511. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**4 - 681*a**3 - 116503*a**2 - 5860515*a + 5977700 = 0.\nAnswer: -452, -115, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, 5, -6265, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*r*w**3 - 2*p*r*w - 4*p*r + 9*p*w**2 + 264*p*w*x - r*w**3*x + 6*r*w*x with respect to x.\nAnswer: 264*p*w - r*w**3 + 6*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 10*a - 63. Let g(u) = 2*u**2 + 19*u - 130. Let y(k) = 3*g(k) - 5*p(k). Let n be y(-16). Calculate the greatest common divisor of 966 and n.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 8\/25 (c) -5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j. Suppose r + 5 = 4. Let p(u) = -u + 31*u**2 - 25*u**2 + 4*u. Let y(g) = r*p(g) + 3*a(g). Let n(h) = -2*h**2. Calculate n(y(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 17 in ascending order.\nAnswer: -5, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 382*n**2 + 2*n + 1. Let b(a) = 3*a**3 + 2*a + 1. Give -b(r) + i(r).\nAnswer: -3*r**3 + 382*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4881 divided by -1?\nAnswer: 4881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -66*f + 8116. Let x be p(123). What is the closest to -2446 in x, -5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7967510879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from ovvj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -225911*u**3 + 181*u + 93904598 wrt u?\nAnswer: -677733*u**2 + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-959)\/49 - 144\/336.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.17 - 26. Let v = g + -0.17. Which is the second biggest value? (a) v (b) 0 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 21*w - 42*w - 41*w.\nAnswer: -2*w**3 - 104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 7*n - 711 = 0. Let t = n - -1653\/7. Find the common denominator of -59\/2 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1731, -1729, -1725, -1719, -1711, -1701?\n\"Answer: w**2 - w - 1731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 2*p)*(2*p - 3*p + 2*p**2 + 5*p).\nAnswer: 6*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a07 (base 11) in base 8?\nAnswer: 14615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8534 = -3*o + 1795, -o + 4*l = -3455. List the prime factors of o.\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 - 4*o + 1. Let k be a(-5). Is k > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 103, -3, 9 in ascending order.\nAnswer: -3, 2, 9, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 11 = -2*d, -15 = 5*h - h - 3*d. What is the remainder when 1\/(-4) + (-26)\/(-8) is divided by 3*-2*h\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-8 + 7))\/(2\/(-83)). Let p = 13 + -96. Let h = p + w. Solve 2*j = -h*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - -52. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**26*y))\/y**(11\/5)*(y**(-12)\/y)**(-27) assuming y is positive.\nAnswer: y**(1619\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3613, -3612, -3611, -3610?\n\"Answer: b - 3614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = m - 18, -5*m + 4*p + 85 = -p. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = -5*v - 184, -175 = -4*y - 5*v. Let s = y - 52. Which is the smallest value? (a) 6 (b) 4 (c) s (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 5) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9057701?\nAnswer: 9057701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202 - -12?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1.6020473.\nAnswer: 0.16020473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154014 - 0?\nAnswer: 154014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 1. Let o(l) = -5*l + 5. Let m(p) = 1. Let j(z) = 5*m(z) + o(z). Let b be j(3). Let t be n(b). Solve -2*s - 5*f = -f - t, 2*f - 2 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(612) + 2))**2 - 2*(sqrt(612) + (-4*(0 + sqrt(612) + sqrt(612)) - sqrt(612))).\nAnswer: 168*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185544 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -10. Let v = h + -3. Solve 5\/4*a - 1\/4*a**4 + 3\/4*a**v + 1\/2 - 1\/4*a**3 = 0 for a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008063 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u**3 + 4*u**2 + 3*u + 4. Let l(k) = -21*k**3 + 7*k**2 + 7*k + 7. Let j(a) = 4*l(a) - 7*r(a). What is the second derivative of j(p) wrt p?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683513.1s to milliseconds.\nAnswer: 683513100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (sqrt(7488) + -1 + 2)*-4)*-6)**2 + 2.\nAnswer: 2239488*sqrt(13) + 155376146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*y, -2*y + 14 + 3 = 5*b + 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1026, -2055, -3086, -4119, -5154?\nAnswer: -6191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34275?\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8*z + 125 = -7*d, 0 = 5*d - 4*d + 3*z for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2534873 and 199001?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + q + 7, -13 = 4*k + 4*q - 9 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ccqqqccccc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -743*i**2 + 732*i**2 - 49 - 146*i + 49 to the form p*i**2 + n + g*i and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66425445 and -4.\nAnswer: -265701780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/9, -211\/1250, 1\/2, -5 in descending order.\nAnswer: 1\/2, 0.3, -211\/1250, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 1826, 0.5, 3, 25, 0.3.\nAnswer: 0.3, 0.5, 1, 3, 4, 25, 1826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/42 + (6336\/240 - 26)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 3*o. Let s be g(4). What is the units digit of (2\/6)\/((-4)\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/20*(-8)\/(-3). Suppose 5*w = t*o - 28, 3*w + 29 = 5*o + 7. Solve 0*m = o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8 + c + 6 - 8*c - 28. What is f(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + (8 - -21 - (-7 + 3 + 8)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.561 + 314.439. Let g = -314.9 + w. Which is the nearest to g? (a) 1 (b) 2\/9 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 575.9 - 605. Let w = 29 + u. Which is the second biggest value? (a) -2 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -471864\/23 < -20517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 4*s**2 + 5*s**2)*(s**2 + 0 + 0) - 2*s**2 + 10 - 25 + s**4 + 9 + 11*s.\nAnswer: 15*s**4 - 2*s**2 + 11*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*t - 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.48 + 400?\nAnswer: 222.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(121) + sqrt(121))*-6)\/((sqrt(11) + sqrt(44))*5)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 40*h**2 - 4*h + 2. Let v be s(2). Suppose 0*z - v = -2*z. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4902*h. Let u(c) = -63*c**2 + 3. Determine x(u(r)).\nAnswer: 308826*r**2 - 14706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*t + 275*t = 567*t + 230 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 2*j + 4. Let n(v) = v + 19*v**2 - 39*v**2 + 19*v**2 - 2. Calculate -5*n(m) - 3*t(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -72?\nAnswer: 6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z. Let o be (3\/21)\/(138\/(-161)). Which is bigger: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5019 is divided by 134?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*z**5 - 4*z + 3*z + 3*z**5 wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -7, -171, -0.4, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 114504*u - 171.\nAnswer: -114504*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 156984977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i + i + 6*i - 242 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 + 3*d - 5. Let r be i(-5). Let q be (-14)\/18 + 4 + (-2)\/9. Let h = 11 - 7. Put q, r, h in increasing order.\nAnswer: q, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + 197\/((-104607)\/36580).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51387594*i**3 + 2*i**2 + 4493552?\nAnswer: -308325564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1533 + -964. Is 1708\/3 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q + 57*q + 58*q + 18568 = -55*q for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 841*m + 812*m + 3 as u*m + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -49, 6?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -54*m + 56. Let x be j(1). Solve -x*w = -4*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49450.2 to the nearest 100.\nAnswer: 49500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:50 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8755111 and 897.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - t - 11. Let o = 19 - 14. Let d be (o\/15)\/((-2)\/(-72)). Is r(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3706299 and 86559.\nAnswer: 40769289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (20\/(-70) + 1544\/14). Let t = 102 + n. Calculate the common denominator of 55\/36 and 2 - ((260\/t)\/(-5) - -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93514.65 centuries in months?\nAnswer: 112217580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 525 + -4?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2 - 6*b - 4. Let h be v(-6). Let o = h + 20. Let d(m) = 13*m + 16 - o. Let l(a) = -a. What is d(l(p))?\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 10. Let x(s) = 11*s**2 - 3*s + 1. Let l be x(1). Let m(j) = -11*j + l*j + j. Determine m(v(p)).\nAnswer: p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2690 + 2690. Suppose -2*d - 5*h - 20 = -4, d + 2 = -h. Let g be (-4 + d + -8)\/(-2). Put -2, x, g, 2 in ascending order.\nAnswer: -2, x, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369 divided by -369\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o - 5 - 4*o + 9. Let r(j) = 1 + 61 - 34 - 29. Determine -4*r(b) - y(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1036 take away -0.06?\nAnswer: -0.0436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121676 equal to 1121676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 2:39 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (9 + 19 - 52).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 75\/70 + (-9)\/(-21)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let u(y) = 14*y**2 - 2*y - 1. Let w be u(z). Suppose 3*d = 5*t + d - 263, -w = -t + 2*d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*p - 249 = 101*p - 6144 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -12 + -22 + -84 + 8?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 4 - 4 = 0. List the prime factors of (-92 - o)*(112\/(-21) - -5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1661615 divided by -3785\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 - 9*l - 4. Let c(v) = 4*v**3 - 10*v - 5. Let n(h) = 4*c(h) - 5*g(h). What is the second derivative of n(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + p. Let q be v(-1). Suppose -a = -2*a + 1, 17 = 2*j + q*a. Suppose 1 = -4*o - j. Let s(d) = -d. Determine s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i. Let x(u) = 7*u**2 + 9*u + 11. Let y(p) = -3*m(p) + x(p). Is y(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**6\/120 + 11*h**5\/60 - 5*h**4\/12 - h**3\/6 - h**2. Let n be -4*14\/(140\/(-25)). Give j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -10, -4, -2\/9, 0.2, 7\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + (4 - 4))*1\/(-1). Let s(x) = x + h - 3 - x**2 + 6*x - 3*x. What is s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4*b + 0*b + b + b + b + 2*b + 0 + 0 + (-2 + 1 + 3)*(3 + b - 3))*(46 - 77 + 36)*(-3 - 1 + 1).\nAnswer: -135*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 114 = 4*v - 4*k, -13*v + 3*k = 175 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 + 0 = 0. What are the prime factors of 45 + (3 - (n - 3))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 18*i**2 + 30*i - 6. Let v be g(-8). Suppose -4*b = -2*s + v, 611 = -3*s + 6*s - 2*b. Calculate the highest common divisor of 115 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1124 and 682268.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**5\/20 + 3*j**2\/2 - j + 1. Let u(t) be the first derivative of k(t). Differentiate u(v) with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -27. Suppose -3*l + 8 = l. Solve -4*h + l*h = b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 1021*c = -2*r + 1020*c + 5, 4*r + c = -15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, 5, 3, 325 in ascending order.\nAnswer: -14, -2, 3, 5, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*i - 274*i - 46*i - 215*i as l*i + r and give l.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 5. Let q(v) = 5*v - 5. Let d(l) = l**3 + 29*l**2 + 3. Let z be 8\/(-112) - (-405)\/(-14). Let m be d(z). Determine m*q(u) - 4*t(u).\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 13*c**2 - 8*c - 50. Let p be f(9). Factor 4*q**4 - 941*q - 3*q**5 - 24*q**3 + p*q + 5*q**5 + 28*q**2.\nAnswer: 2*q*(q - 1)**3*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (10 - (5 + 0)) - 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280 + -92. Let u = 183 - t. Do 3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 + 116*g\/11 - 1682\/11.\nAnswer: -2*(g - 29)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 14*s - 16 = 10*s, 5*t = -5*s. Which is greater: t or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7102 + 60?\nAnswer: -7072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 487961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/70 - (-68)\/85\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 2)\/(6\/(-8)). Suppose -4*s = 2*g - 4, -b*g = -g - s + 15. Does 6 divide g - -4*34\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*n = -284*n - 3*r - 21, -5*n = r + 7. Sort -127, 1, n, 2, -4 in descending order.\nAnswer: 2, 1, n, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.02, -0.5, 625, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:30 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 181651.889 to the nearest 1000.\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfhvvmv. What is prob of picking 1 g and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n**2. Let f(w) be the first derivative of -7*w**5\/60 - 48*w**2 + 88. Let u(p) be the second derivative of f(p). Determine u(l(h)).\nAnswer: -2800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.823 - 199.623. Let i = u - -199. What is the closest to -0.2 in -3, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 2838*t + 8054244.\nAnswer: (t - 5676)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 11*h - 15*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -33?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 12*l = -4. Let n = -7 + l. Sort -1, n, 3 in increasing order.\nAnswer: n, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-1\/4)\/s)*s**(4\/7)*s*(s**(2\/5))**(-45) assuming s is positive.\nAnswer: s**(-397\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*l = -2*b + 17, 3*l = -3. Calculate the least common multiple of 2 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.97 - -0.67. Which is the third biggest value? (a) -24 (b) -1\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5766, -7, -58, -2 in ascending order.\nAnswer: -58, -7, -2, 5766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 2, -1 in decreasing order.\nAnswer: 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - 99192.959443.\nAnswer: -99193.029443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/5499260 and -69\/5915.\nAnswer: 38494820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 2:18 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42816 - -3339701\/78. What is the common denominator of s and 79\/768?\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1*(-2 + -940). Let n = w + -2797\/3. Let u = 2933 - 17705\/6. What is the common denominator of u and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1036*q + 119325 = -1739*q for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*w**4 - 416*w**3 + 172*w**2 + 1136*w + 560 = 0. What is w?\nAnswer: -35, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -70584.13 to the nearest 1000.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/4 + 2283*a\/4 + 7917\/2.\nAnswer: 3*(a + 7)*(a + 754)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107918, 107229, 106540, 105851, 105162?\nAnswer: 104473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 + 973\/5. Let v = -33.8 - -35. Which is the second smallest value? (a) v (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 - -101. Let h be t\/2 - (-57)\/19. Solve 6*x - h + 46 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/330*20)\/((10\/444)\/(65\/52))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 4)*(1 - 2*b - 1) + (-24 + 27 + 51)*(5 - 5 + 2*b))*(3 - 2 - 4).\nAnswer: -330*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1286, -1313, -1358, -1421, -1502, -1601, -1718?\n\"Answer: -9*c**2 - 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.551145 to three dps.\nAnswer: -4.551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/24 + 7*i**3\/6 - i**2. Suppose -5*a = -j, a - 11 = 2*j + 2*a. What are the prime factors of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42901, 2, 6, 3 in descending order.\nAnswer: 42901, 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 9415*q**2 + 374250*q - 1037880.\nAnswer: -5*(q - 36)*(q - 3)*(q + 1922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76480 divided by 26.\nAnswer: -38240\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b**5 + 5285*b**4 - 6209211*b**3\/4 - 6945048*b**2 + 18342315*b\/4 - 708750 = 0 for b.\nAnswer: -375, -5, 3\/10, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)\/(3\/(-27)). Let n be (-3 + (-80)\/(-4))\/(34*(-10)\/(-340)). Which is greater: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572 - 595 - (-15 - (2 - 4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38480 and 21970.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnk when three letters picked without replacement from kaakaklakakaknaakkk?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 13*v = 4. Suppose v*i + 6 = 2*r - 2, -3*r - i = -8. Suppose r*m = m + f + 248, -3*m - f = -372. What is the greatest common factor of m and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13435304 is divided by 4048.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**3\/2 - 2*c**2 + 16*c - 1. Calculate x(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*l + 3, 5*g + 2*l = -l + 3. Let m = 28 - 17. Let v = m + g. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 4*v - 6. Suppose 4*m + 41 - 17 = 0. Let t be g(m). Let i = t + -10. Which is smaller: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-6)*(-39)\/26. Suppose 0 = -a*g + 3*p + 141, -4*g - 2*p = 2*p - 148. Calculate the lowest common multiple of 72 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 840384, 1680805, 2521232, 3361665, 4202104?\nAnswer: 5042549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:23 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 3*i - 5. Let v be n(6). Let d = 111 - 85. What is the greatest common divisor of d and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b9 (base 16) to base 2.\nAnswer: 110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 11:28 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, z: 1}. Give prob of sequence zz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8532 - 8532.2. Which is the third smallest value? (a) -1.1 (b) r (c) -0.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 - 1 + 11*i**2 + 167*i + 32 + 10.\nAnswer: (i + 15)*(11*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 109953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361178 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 72 - 2 = 3*a, -47 = -2*z - 5*a. What is the remainder when 75 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -23591?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b - 8. Suppose 2*c + m + 5 = 0, 5*m + 14 = 5*c - 11. Let a = -4 + c. List the prime factors of w(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*d - 10 = -3*d, -5*k + 40 = 3*d. Suppose -7 - 8 = -k*s. Let w = -10 + 14. Solve w*l = s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48546528 divided by -1517079\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1798473 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1437 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1762 (b) -0.1 (c) -13\/15 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -1\/45*h**6 + h + 1\/10*h**5 + 0*h**2 + 1 - 1\/6*h**4 + 1\/9*h**3. Let f(b) be the first derivative of z(b). Factor f(l).\nAnswer: -2*l*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006829682702 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*g + 196. Let l = -110 + g. Let z be (9\/l)\/(1\/(-1)). Which is the nearest to 0? (a) z (b) -0.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12*f + 15680 = 0. Round f to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v - 6. Let j(s) be the second derivative of 2*s**3\/3 + 5*s**2\/2 + s. Suppose 4*g - 2*g + 10 = 0. What is g*l(u) - 6*j(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/721, -2025, -0.4, -5\/3, -0.2, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84141991 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m = 16*m - w - 2, 2*w + 4 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10925 and 760.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*v - 124*v + 6 = -2*q, 0 = -v - 44*q - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:54 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16108, 16125, 16142, 16159?\nAnswer: 16176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/11 (b) -128 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**6\/t))\/t*t**(-2))**(-14))**(-7\/5) assuming t is positive.\nAnswer: t**(-686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1255?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = v + 17, 0 = -4*c + 5*v - 12 + 49. Let j(i) = 2*i**3 + 3*i**2 - 4. Let l be j(c). Let m = l + -38. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 9*b**2 - 4*b - 13. What is w(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/5, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 222 - 12.731\nAnswer: 209.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -17*x**4\/12 + 11*x**3\/6 + 15*x + 11. Let t(d) be the first derivative of b(d). Find the second derivative of t(j) wrt j.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201102200 - 10?\nAnswer: 11201102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1898 and 30952.\nAnswer: 402376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -50518\/9 at most -5614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 5*o + o**2 + 3*o - 4*o**2 - 2*o**2.\nAnswer: -5*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21ea9 (base 15) to base 6.\nAnswer: -2151410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226336717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10263, -9985, -9705, -9423, -9139, -8853, -8565?\n\"Answer: c**2 + 275*c - 10539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 8*r = -24. Solve -11 = -2*q + 5*j, r*q + 5*j - 7 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 - 29*z**3\/6 - 141*z**2\/2 + 81*z. Let b be t(-6). Let f(d) = 5*d**2. Let u be f(1). Sort u, -2, b.\nAnswer: b, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223 - -49. Calculate the remainder when (0\/3 + j)*15\/(-10) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g**3 - 12*g**2 + 7*g - 7. Let s(q) = 3*q**3 + 4*q**2 - 2*q + 2. Determine 7*s(a) + 2*z(a).\nAnswer: 5*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515820 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2642*a - 2730*a + 41*a**5 + 4*a**5 - 180. Differentiate c(d) wrt d.\nAnswer: 900*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9637 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 954637 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*24\/(-30))\/((-22)\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 3162164.\nAnswer: 22135148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132 - -57. Calculate the highest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2)\/(-10)*35. Let p = 42 - c. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixcz when four letters picked without replacement from {z: 4, i: 1, c: 2, x: 4, r: 4, v: 5}.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 12*b**2 + 4*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 7*b - 12. Let n(d) = 1. Let j(s) = 6*n(s) + w(s). Let v be j(6). Solve -2*r + v*l = -2*l - 2, 5*r - 5 = 3*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8 + 7 + 1 + 4*k**2. Let p(u) = -10*u**2. Give d(p(l)).\nAnswer: 400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7913\/6, 1\/20, 1, -3?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/2*(-19)\/(-3) and 2\/12 - (-195)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6*s - 106200000 = 0. Suppose 3*o - u + s = 0, 2*o - 2*u = -16505430 + 4705430. Round o to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4741 is divided by 245.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1554 and 11\/7382536?\nAnswer: 22147608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 416, 606, 774, 914, 1020, 1086?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12833, 51355, 115535, 205355, 320797?\nAnswer: 461843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 - 3*x**2 + 2*x - 4. Let i be z(2). Let p be -6*i\/6 + 1. Let y = -19 - p. Solve 3*f - 13 = 5*s, -2*s + f - 3*f - 18 = y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4 = -4*n, -6*t - 5*n = -t + 10. Let z be -1*(-4)\/t + 1. Sort -16, -3, z in decreasing order.\nAnswer: z, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -56.3. Let w = d + -0.7. Let h = w + -6.01. Sort h, -0.2, 2\/3 in ascending order.\nAnswer: -0.2, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -110, 0, 256, 658, 1206?\n\"Answer: 73*q**2 - 109*q - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 208 + -178. Let f be 5*(2 - 42\/j). Solve 7 = -f*z - d, 3*z - 5*z = 4*d - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 37*t. Let w(g) = -6142*g. Let o = 32928 + -32926. Determine o*w(b) + 333*f(b).\nAnswer: 37*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x**(3\/8)\/x))\/(x\/(x\/(x\/(x\/x**(-2\/13)))))*(x\/x**(-2\/9))**37*(x**(-1))**(5\/6)*(x\/(x\/(x**(-2)\/x)))**(-24) assuming x is positive.\nAnswer: x**(112477\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 3, x: 1, v: 1, p: 1}. Give prob of sequence mnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**2*n))**18)**19 assuming n is positive.\nAnswer: n**(-1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 18 = -3*i, 21*i = -4*x + 39 - 5 + 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -14. Suppose -4 + 0 = -y, 100 = 4*b + 2*y. What is the remainder when b is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-23))\/(255\/5865))\/(17\/1).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-2\/27))\/r**(2\/37))\/(r**(21\/5))**(-16))**39 assuming r is positive.\nAnswer: r**(4494802\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 81 = -6*a - 11 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let p(s) = -5*s**h - s + 3*s**2 - s**2. Suppose 0 = 4*l - 2 + 6. What is p(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3243211224 + 4?\nAnswer: 3243211233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -233 + -16?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33204 and 132?\nAnswer: 365244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v. Let k(m) = 10*m**2 + 12*m. Let c(u) = -12*b(u) + k(u). Let n(j) = -2*j**2. Determine n(c(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.4. Suppose 5 - 2 = m. Suppose m = -w - 0. Which is the closest to 1\/3? (a) w (b) -3\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**4*v - 2*f**4 + 2*f**3*v + 1543*f**3 - 2*f**2 + 3*f*v - 11*v - 490 wrt f.\nAnswer: -288*f*v - 48*f + 12*v + 9258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/4 + 63*i**4\/2 - 765*i**3\/2 + 1713*i**2 - 12195*i\/4 + 3375\/2 = 0?\nAnswer: 1, 3, 10, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9429014*x - 18862292*x + 9433277*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 191*m - 2. Let c be j(-2). Let x = -252 - c. What is the remainder when 3\/(3\/x*2) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 - -90. Let c(d) = 3*d**3 - 32*d**2 + 34*d - 285. Let a be c(11). Let w = n + a. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 937605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r - 2*r)*(-47 - 37*r + 47) + (4 - 6 + 3)*(4*r + 3*r**2 - 4*r).\nAnswer: 77*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -3*t + 53 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/7)*p\/p**(-2)*(p*p*p*p**(-1)*p)**(-5) assuming p is positive.\nAnswer: p**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 w when three letters picked without replacement from {w: 2, z: 2, n: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r - 5. Calculate c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 7}. What is prob of sequence jjf?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from zzzzzzzqqqzzzzzzzz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(-4)\/8 + 7. Let m = 7 - j. Suppose m*r - 132 = -4*a + 8, -4*r + 62 = 2*a. Is a a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 352\/(-220) + (-98)\/(-30). Let d(j) be the third derivative of -5\/12*j**5 - 23*j**2 - f*j**4 + 0*j - 10\/3*j**3 + 0 - 1\/24*j**6. Factor d(k).\nAnswer: -5*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 17*l - 9. Let k(d) = -5*d**2 + 16*d - 6. Let i be k(l). Let y be 12 + 5 + (1 - i). Solve -5*j = -1 + y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-10)*(75\/(-40))\/(24\/(-32)). Sort g, 318, 3 in decreasing order.\nAnswer: 318, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/495 and 31\/6270?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2491 by 47.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469 - -15969. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -15722.467.\nAnswer: 235837.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30127, -120116, -270101, -480088, -750083?\nAnswer: -1080092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4148\/279 - 144\/31. Determine j so that -8\/9*j + 8\/3*j**5 + 104\/9*j**3 + 0 - a*j**4 - 28\/9*j**2 = 0.\nAnswer: -1\/6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**3 + 4*x**2 - 5*x**4 - 3*x**2 + 0*x**4 - 2*x + 4*x**4 - 1 as g*x**3 + b*x + i*x**4 + f*x**2 + o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -u - 12*l + 17*l, -2*u = -6*l - 28 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*u - 2, 3*x - 2*u - 22 = -6*u. Suppose -x*y + 3 = 13. Let a(m) = 7*m**2 - 5. Let f(n) = -4*n**2 + 3. What is y*f(q) - 3*a(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 320 + 30 = -57*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -0.1, 0.4, -10\/211?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.11 + -10. Let n be (-106)\/16 - 18\/48. Let u be 6\/n + (-27)\/(-63). Which is the second smallest value? (a) -4 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 3*z - 2*z)*(2 - 1 + 0) - 28*z + 15*z - 6 + 16*z + (0 + 3 - 1)*(-4 + z + 4) as s*z + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-6)\/16) + 0. Let r = 45 - 51. Let l be (-13)\/(-3) - 4\/r. Solve -4*m - a = -3*v, l*m + 5 = 4*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113.3033 minutes in days?\nAnswer: 2.856460625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 5:59 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 3a81a81?\nAnswer: -3a81a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 721 and -0.1?\nAnswer: 721.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36281 + -36407.063. Let x = v + 0.063. Which is bigger: x or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 704, 706, 708, 710, 712, 714?\n\"Answer: 2*c + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*u + 53 - 6, 64 = 5*u - 2*r. Solve -u = -3*y - 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16311358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179.4485 + 171.56287. Let n = -7.645 + -0.235. Let q = o - n. What is q rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 56. Which is greater: g or -36\/31?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 121544900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 11.5. Let m be (201\/18 + -10)*8\/(-42). Let a = -0.1 - 0.2. What is the second smallest value in m, 5, a, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/59))**50 assuming l is positive.\nAnswer: l**(100\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 h, and 1 m when three letters picked without replacement from hfhmmhmfxhmfmmf?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - w + w)*(17 - 2*w - 17) + (-4*w + w + 2*w)*(-w + 6*w + 18*w) in the form d*w**2 + i*w + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -13*s**2 + 305*s - 305*s. Let y(u) = 3*u + 0*u - 5*u. What is y(d(n))?\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 27275 = 3*n - 9166, 0 = -y + n + 3621. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36162\/5 + 7232. Let f = 0.11 - -0.49. Put u, f, -0.5, 0.1 in descending order.\nAnswer: f, 0.1, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5 (c) -0.4 (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.1376 hours in seconds?\nAnswer: 562095.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 9. Let w be m(-4). Factor -s**w - 3*s**5 + s**5 + 5*s**5.\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/11*z**4 + 2\/11*z**5 + 216\/11 + 134\/11*z**3 + 432\/11*z + 342\/11*z**2.\nAnswer: 2*(z + 2)**2*(z + 3)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1576*f - 33. Suppose 3*b = 5*z - 0*b + 20, 20 = 4*b. Is i(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 11:20 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 12 - 6*g - g + 35*g in the form d*g + c and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0.5 (c) 4\/117 (d) -8 (e) -6 (f) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*l + 269 - 62 - 206.\nAnswer: 98*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22855 + 1714127\/75. Let i(p) be the second derivative of 0 + w*p**6 + 0*p**4 + 0*p**2 + 1\/50*p**5 + 39*p + 0*p**3. Solve i(o) = 0 for o.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133315*w**2 + 182240 with respect to w.\nAnswer: -266630*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.12195 plus 24?\nAnswer: 17.87805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 194?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5 - 3 + 2*w - 3*w. Let j(g) = g - 3. Let h be (6\/4)\/((-4)\/(-8)). Let k(n) = h*a(n) + 2*j(n). Let t(o) = o. Calculate k(t(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 2*r)*(-9 - 12 - 5)*((-r + 4*r - 2*r)*(r - 4*r + 2*r) + 4 - r**2 - r**2 + 0).\nAnswer: 312*r**3 - 416*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/14*(6\/(-1))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (2 - (-585)\/200) and -109\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-28) - (-188)\/(-28). Let c(x) = 6*x + 14. Let a(d) = 6*d + 13. Let z(k) = b*a(k) + 6*c(k). What is the first derivative of z(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17492309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or 18.3?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 8. Let u be i(6). Let p(q) = q**2 + 9*q + 6. Let c be p(-9). Let x(y) = -y**2 + 8*y. Let v be x(c). Solve f = 3*k + u - 14, 5*f = 3*k - v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10025.41 milligrams in nanograms?\nAnswer: 10025410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1038530 (base 10) to base 14.\nAnswer: 1d068a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 12. Let q be 114\/(-42) - v*1. Which is the nearest to 2\/7? (a) -5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 67. Give l(-24).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4002929 a multiple of 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11112 + -11109. Let z(x) be the third derivative of 7\/15*x**5 + 4*x**2 + 13\/24*x**4 + 0*x + 0 + 0*x**y. What is the second derivative of z(j) wrt j?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 75 (b) 0.86 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/9, -293, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + u + 15 = 0, 5*u = 5*l + 4*u + 21. Is l less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/13 + 450*q**2\/13 + 448*q\/13 = 0. Calculate q.\nAnswer: -224, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -500c?\nAnswer: 500d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -359 divided by 102\nAnswer: -359\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 21 = -5. Suppose -a + o = -664, -1742 = -f*a + o + 923. Let r = a - 302. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1276605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 35*i + 30*i + 2132, -5*p = -4*i - 10863. Calculate the smallest common multiple of p and 788.\nAnswer: 8668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 take away -2?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2772102.3?\nAnswer: -2772099.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3355 and 25?\nAnswer: 16775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 314352 and 144?\nAnswer: 314352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 7*q - 10 = 0. What is the biggest value in 5, q, -2\/11, -1\/23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7599663 and 17901?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-165) - (-58)\/15. Suppose b - 17 = -m - m, j*m = 3*b - 11. Calculate the highest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -9\/2, -0.4 in decreasing order.\nAnswer: 0, -0.4, -1, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m - 750 = 27*m. Solve 7*h + m = -8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11 - 2) + 6 - 2) + -12 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + (0 - 5 - (78 - 79 - -10)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*v - 146, v - 3*t = -2*t + 42. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -2043, -4898, -8905, -14070?\nAnswer: -20399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -4*r - 149. What are the prime factors of -3 + 943 - -6 - (-3 - r)?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -116*x - 23. Let k(j) = -17 + 171*j + 64 + 60*j. Let o(d) = -2*k(d) - 5*s(d). Find the first derivative of o(c) wrt c.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 145365.1 to the nearest 1000.\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14780, 14765, 14748, 14729, 14708, 14685?\n\"Answer: -y**2 - 12*y + 14793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384040 is divided by 5840.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165113 by -5.\nAnswer: 165113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 5425\/24 in increasing order.\nAnswer: -8, 1, 5425\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 6, g: 12}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -0.2 (c) -22 (d) 0.69 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -4*r**2 + r - 21. What is i(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b92a5 - -7?\nAnswer: 5b92b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7893 or 94733\/12?\nAnswer: 7893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 1. Let w be r(-1). Let a be w\/(-14) + 120\/21. Let y be ((-23750)\/a)\/((-3)\/(-144)). Round y to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/14 and ((-4565)\/90)\/11*3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-6)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2710250 divided by 1?\nAnswer: -2710250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8391312*b*t**3 - 2*b*t - 15*b + 26*t**4 - 15*t + 226554 wrt t.\nAnswer: -50347872*b*t + 312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 465759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 451631 (base 8) in base 12?\nAnswer: 742a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 32520?\nAnswer: -32516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 77*q**3 + q**2 - 1. Let c be h(1). Let p = c - 74. Suppose 0 = -4*a - 2*f + 109 + 517, 3*a = -p*f + 468. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-226)\/(-4) + (-3)\/2. Let l(t) = -10*t - 45 + t**2 + 98 - x. What is l(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 1 - 1)*(-5*q - 6*q + 0*q) - 2*q**2 + 5*q**2 - q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - m + 16 = m, 4*b - 35 = -m. Let k be (-6)\/b + (-14918)\/9240. Let r = 33\/140 + k. Calculate the common denominator of -77\/12 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 5. Is (3 - 2) + h + 10 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqw when three letters picked without replacement from bqwwwqqqqwp?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 122 + 360 - 116 - 119.\nAnswer: -4*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 50 = -10. Calculate the greatest common divisor of 30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 12*r**2 + 35*r + 18. What is m(-9)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1005*l + 64*l**2 + 1005*l in the form j*l**2 + z*l + a and give j.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/21 - (10266\/(-826) + -52)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6919 and 2314686?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 16 = -5*i, -5*i + 22 = -0*i - b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -1\/4 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19003021.69 rounded to the nearest 1000?\nAnswer: -19003000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**2 + 5*x. Let o(y) = -18*y**2 - 16*y. Let j(d) = -16*a(d) - 5*o(d). Let g(z) = 31*z. Determine j(g(m)).\nAnswer: -21142*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2245*y + 13488 - 14530 = -839*y + 38326 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.7 (b) -0.02 (c) 1055 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200970011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (2\/(-6))\/(8\/(-1392)). Calculate the highest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4038*c**2 - 56*c. Let d(l) = 2019*l**2 - 22*l. Determine -5*d(x) + 2*t(x).\nAnswer: -2019*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4909\/2 + -2363. Let l = g - 3113\/34. Which is the nearest to -2? (a) l (b) 5\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 * 3860.\nAnswer: -497940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 2 - -1)\/((-4)\/10). Solve 0 = 45*z - 50*z - o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**8\/112 - 3*u**7\/70 - 3*u**6\/40 - u**5\/20 - u**2\/2 - 2. Let v(b) be the second derivative of s(b). Factor v(g).\nAnswer: -3*g**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/172809 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from tqtytqxyxytxqx?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 14*k - 34. Let c(w) = 2*w**2 - 13*w + 33. Let x(a) = 2*c(a) + 3*p(a). Let i be x(-18). Suppose i = -5*v - v + 2*v. Solve v*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1739, -3474, -5207, -6938, -8667, -10394, -12119?\n\"Answer: y**2 - 1738*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6179 - -118?\nAnswer: -6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-12))\/(-1)*4. Let l = -39 + 76. Let b = l - 35. Calculate the highest common factor of g and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/153 and 31\/3774?\nAnswer: 11322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 1 + 1 + (-3*g**2 + 2*g**2 - g**2)*(-3*g + 2*g + 2*g) + (410 + 719 - 127)*(g**3 - g**3 + g**3).\nAnswer: 1002*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 21 + 0*z**2 - 45 + 22 - 7*z**2. Let s = 19 - 17. Let b(p) = -15*p**2 - 5. What is s*b(o) - 5*a(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/154*22\/(-12). What is the smallest value in z, -22, 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235 - -247. Find the common denominator of -82\/39 and ((-3)\/v)\/1 + (-17)\/(-84).\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/3)\/q*q**5)**(2\/7))**(4\/23))**10 assuming q is positive.\nAnswer: q**(1040\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13924 or 16289?\nAnswer: 16289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 + 6. Let y be o(-7). Let n = -104 + 121. Calculate the highest common divisor of y and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.9 + -5. What is the smallest value in 0.1, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/(19\/(-171))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -410020 divided by -41002\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + l = -17 + 84, 5*l - 49 = 3*r. Let t = r - -24. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52066 is divided by 17354.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y - 25. Is 66\/10*(y - -1 - -9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 642824*n\/5 - 3856872\/5.\nAnswer: -2*(n + 6)*(n + 321406)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -1.58. Let t = 9.27 + -4.37. Let a = t - s. What is a rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 122?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.9\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -45 + 18 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695506?\nAnswer: 2, 463, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + 1.6. Let s = 1877 - 1282. Let g = s - 591. Which is the nearest to y? (a) 1 (b) g (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 17*d**2. Let p(r) = -27*r + 1. Give p(y(o)).\nAnswer: -459*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2070\/(-483))\/((-6)\/14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 704.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c**(-7)\/c)\/c)))\/(c\/(c\/(((c*(c**(-2\/9)*c)\/c)\/c)\/c)))*c**(-5\/4)*c\/(c\/(c\/(c*c**3*c*c*c))) assuming c is positive.\nAnswer: c**(-541\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-4) + 798\/98?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (1 - 2) + (-35 - (34 - 57))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/696)\/((3\/(-6))\/((-1)\/2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14 + 2 = 5*p, 0 = -p + 2. Suppose -4*c + m + 5 = 0. Suppose -g - g = 0. Solve c*a - 2*a - 4*b = 2, g = -3*a + 4*b + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -23. What is the closest to 0 in 4, 5, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/150*3*(-1275)\/(-102).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 24*a**2 + 28*a + 60. Let m be j(24). Let u = -124 + m. Is 58 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 370 = 59*w. Solve v - 1 = r, r + 5*v + 9 = -w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*u + 3 - 3 + 36*u in the form l + r*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, a: 12}. What is prob of picking 1 a and 2 g?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -26*s**7\/21 - s**3\/6 - 20*s**2 + s - 12. Find the second derivative of a(d) wrt d.\nAnswer: -1040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -5 + 6 + 3 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) + -2*sqrt(130))*-4 + sqrt(130) + (sqrt(130) - (sqrt(130)*-1 + sqrt(130))*6))\/((sqrt(640)*3 + sqrt(640) - sqrt(640))*1))**2.\nAnswer: 637\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 - 17*t - 3. What is r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 3. Let r be c(2). Solve -5 = -6*i + r*i + 5*h, -3*h = 4*i + 32 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) -5 (c) 19166318 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 - t**5\/6 + t**4\/3 + 13*t**3\/6 - 11*t**2 - 2*t. Let l be n(9). Solve 2*a + 10 = 5*x, 7*a = l*x + 2*a - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5975\/1195 - 33\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/3 - 4*b\/3 = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 311 = 3*p, z + 26 = -2*p + 84. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 13. Let d = 27 + n. Sort -1\/2, -4, d in decreasing order.\nAnswer: d, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 - 44 = -3*r + 5*a, -3*a + 12 = 0. Let q = 169\/2 - r. Sort -5, q, -2 in decreasing order.\nAnswer: q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let u = -174894 + 174894. Sort u, 2\/125, z, 4 in decreasing order.\nAnswer: 4, z, 2\/125, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 469*i**2 - 2801*i + 10657. Give v(463).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190252\/49 + (-13)\/(-91).\nAnswer: 3, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 6*q + 0 + 11\/2*q**2 + 0*q**3 + 1\/12*q**4. Differentiate x(o) with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 + 6*r. Let s be b(4). Let w = s + 11. Solve 0 = -4*a - w - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 61. Suppose -5*n = -3*m + 64, -2*m + 0*m + n + 31 = 0. Calculate the least common multiple of m and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 11. Let t(h) = -27*h + 6. Let r(u) = -32*u + 9. Let j(q) = -2*r(q) + 3*t(q). What is y(j(b))?\nAnswer: -34*b - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1053 in 7\/2, -2\/9, 52\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30548, -30557, -30572, -30593, -30620, -30653, -30692?\nAnswer: -30737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 3709880.\nAnswer: -15\/741976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -465 - 2.9114.\nAnswer: -467.9114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-56303.73.\nAnswer: 22521.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grcrcgcrggrcrcrgprp. What is prob of sequence gc?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 262 - 120. Suppose 3*h + p = 5*v, -v + 74 = 2*v + h. Let f = v - 20. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xru when three letters picked without replacement from xuxccrh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500 - -502. Sort 3, y, -1, -21.\nAnswer: -21, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5051 is divided by 110.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 10*k. Suppose k = -2*j, -n - 4*j + 7 = -0*n. Let r = -121 + 177. What is the greatest common divisor of n and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 3. Let g(x) = 10*x + 10. Let a(n) = -7*b(n) + 2*g(n). What is the derivative of a(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2754 and 18607860?\nAnswer: 55823580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:05 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 5?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 4621*p - 137117. Calculate a(-30).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o - 42*o + 1559 + 6*o. Is j(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885 and 926418?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b - 39. Calculate the remainder when 35 is divided by g(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*(-60)\/1170)\/((-4)\/(-102)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -808 (base 9) in base 13?\nAnswer: -3b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29027414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15151 is divided by 171?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6*r = 30. Suppose -5*p + 3*f + 44 = 0, -r*p + 34 - 1 = -4*f. Find the second derivative of -9*y**2 + 22*y**3 + p*y**2 + 2*y**2 + 33*y wrt y.\nAnswer: 132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -1\/12 (c) -1\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 4*x - 2*x)*(2 - 2 - x)*(2*x + 3*x + 0*x) + x - 2*x**3 + 0*x**3 + x**3 to r + w*x + n*x**2 + q*x**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 - 6 + 10*a**2 - a + a**2. Let n(y) = -18*y**2 - 8*y + 4. Let v(f) = 6*f**2 + 3*f - 1. Let c(k) = 4*n(k) + 11*v(k). Calculate 6*c(i) + 5*g(i).\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 38*o - 120. Let t be n(-15). Suppose 0 = 6*z - 2*z - 12. Sort z, 5, t, 4 in decreasing order.\nAnswer: 5, 4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.66 - -0.34. What is the second smallest value in g, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = 199*l - 210*l. Suppose -16*h = 4*d - 21*h - l, d - 7 = h. Solve q + 27 = -d*b + 2*b, 5*b + 35 = -5*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/((s\/s**(-8))\/s))\/s))\/s**(1\/16))\/(s**(-4)*s*s)**(2\/3) assuming s is positive.\nAnswer: s**(493\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 - 8\/(-6). Calculate the least common multiple of -2 + f + 1 - 0 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 127*i**2 - 488*i + 428. Calculate m(-123).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*y = 2 - 10, c + 2*y - 8 = 0. Let z(g) = 2*g - 4. Let s be z(3). Let n = -0.01 + 0.31. What is the closest to s in c, -0.3, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) - 153\/(-12). Suppose -w + 16 = o - k, 2*o = 8. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 4*v)*(2*v + 12*v + 6*v) + 1 - 1 + 2*v**2 + (1 + 2*v - 1)*(-5*v + 2*v + 4*v) + 2*v**2 - 2 + 2.\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -18*k**2 - 22*k + 5. Let f(v) = -19*v**2 - 23*v + 6. Let m(u) = 5*f(u) - 6*p(u). Find the second derivative of m(z) wrt z.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 30 = -0*j. Let h = 0 - -15. Suppose 3*z - h = -0*z. Solve -z*y + j = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3336\/52 - (-16)\/(-4)*(-3)\/(-78). Solve -21*a = y - 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 - 3*w - 2. Let n = -1 - -60. Let y = -62 + n. Give a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-549815)\/14343*1\/(-5)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1172 - -99. Calculate the remainder when a is divided by 317.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.15559 rounded to 2 decimal places?\nAnswer: -13.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36370 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2 - 7220154*k - 7220152 = 0.\nAnswer: -3610076, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (3 + -1 + 0) - -7. What is the third derivative of -2*j**s - 4*j**5 - 113*j**2 + 93*j**2 wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + (-384)\/28. Let s(p) = p**3 + 14*p**2 - p - 10. Determine s(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 638 = 4*z. Suppose m + 3*m = -2*o + 202, 3*o - z = -2*m. Suppose o = n + 31. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(130) - (sqrt(130)*-2 - sqrt(130))) + (sqrt(130) + sqrt(130)*-3)*5 + sqrt(130))*3)\/((3*sqrt(120)*1)\/(sqrt(432)*3)).\nAnswer: -522*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**2 - 1. Let s(d) = -2*d**2 + d + 3. Let i(u) = 11*u**2 - 5*u - 16. Let p(q) = -i(q) - 5*s(q). What is -c(h) - p(h)?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22179445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 9*h**5\/5 - h**3\/3 + 16. Find the third derivative of l(w) wrt w.\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = 5*o, 0 = 2*a - a + 2*o - 3. Suppose -c - 283 = -a*x, -2*x + 3*c = -2*c - 167. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 30568*w**3 + 57970644*w**2 + 1641195920*w + 11530464400 = 0. What is w?\nAnswer: -14, 3835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124104621 and 417.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5783 divided by -5\nAnswer: -5783\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212 - 239*k**4 - 341 + 59*k**4 + 191 wrt k.\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -22513?\nAnswer: -2251c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6812 + -19816. Let m = b - -40457. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103 by -9538.\nAnswer: -103\/9538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 11) to base 13.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:36 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3576000*o. Let v(m) = -10*m**2. Give v(k(y)).\nAnswer: -127877760000000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -22. Suppose -y - f*i + 30 = 0, -4*y + 4*i - 5 = -y. Suppose p + 76 = y*p. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 49*q**2 + 175*q - 237. Calculate i(20).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2028 by -7.\nAnswer: -2028\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.4574832 to two dps.\nAnswer: -60.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(1\/(-2)). Suppose 4*r - 240 = -a*q, -r + 4*q + 85 - 25 = 0. Calculate the remainder when r is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 94. Suppose -4*v - 76 = 64. Let l be (v\/(-20) + -1)*12. What is the greatest common divisor of l and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxxn when four letters picked without replacement from {n: 1, m: 5, j: 1, x: 3, h: 2}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 4*t - 2. Let r be i(-5). Suppose 3 = 4*g + 19. Let x(m) = -5*m - 2. Let h(w) = -6*w - 3. Calculate g*x(u) + r*h(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4*w**2 + 2*w - 3. Let x be j(4). Let s be 0 - (-1)\/(-1) - -5. Sort x, s, 2 in ascending order.\nAnswer: 2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let d(t) = -t**3 + 5*t**2 - t + 4. Let r be d(5). Let g be r*(-1)\/(-6)*1. Is x at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 6*h - 24. Solve h + 11 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 21 + -32 + 7 + -26?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/6 + 18\/12. Solve n = -q - q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 36. Let v be -19 - (8*-2)\/4. Let k be g(v). Factor -251*q**4 + 21*q + 440*q**3 - k*q**2 + 11*q - 19*q**2 - 49*q**4.\nAnswer: -4*q*(3*q - 2)*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -426899\/1645 + -226\/329. Let g = -260 - y. Which is the closest to -1\/3? (a) -4 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 184*f**3 + 3080*f**2.\nAnswer: 2*f**2*(f + 22)*(f + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-2 + 0)) + 53. Let f(g) be the third derivative of 7*g**5\/60 + g**4\/8 - g**2. Let s be f(-2). What is the greatest common divisor of s and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1108, 9, -2 in increasing order.\nAnswer: -1108, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/3 + 63\/15. Let o(l) be the second derivative of 0*l**3 + 1\/2*l**5 - 1\/3*l**4 - l + 0*l**2 + 0 - u*l**6. Let o(t) = 0. What is t?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6336 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -33*u + 134, -4*g + 16 = 9362*u - 9357*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2638 (base 11) to base 16\nAnswer: -d65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74272*h**2*l**2 + 3*h*l**2 + 8*h*l + 3*l**2 - 2*l + 59 wrt h?\nAnswer: -148544*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1062321 and 5.\nAnswer: 5311605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*z - 36, -5*z = 2*y - 6 + 16. Let a = 131 - 106. Suppose 0 = 7*w - 3 - a. Solve -5*h + 8 = -w*k + 2, 0 = -y*h + 5*k + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxpp when four letters picked without replacement from {p: 2, s: 1, c: 10, x: 4}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 - 6053*r - 714717. What is k(-1078)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-101564)\/(-28))\/1)\/(10\/70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 572 + -355. Factor v*i - 4 - 448*i - i**2 + 226*i.\nAnswer: -(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223527 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: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(10\/(-2)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1559 and 25.976487671.\nAnswer: 1584.976487671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 8:33 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -35*p - 98. Let d(v) = 18*v + 49. Let l(u) = -9*d(u) - 4*g(u). Let y be l(-2). What is the third biggest value in 4\/11, y, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 1\/3*v**3 - v**2 + 1 - 2*v. Let o(h) = 4*h**2 - 7*h - 7. Let j = 32 - 46. Determine j*b(d) + 4*o(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14857?\nAnswer: 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 29003*k + 173946. Calculate y(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 15*f**2 + 26*f + 2. Let r be z(13). Solve 3*i - 3*d = -d - 5, -r*i + 5*d = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*l**2 + 562*l\/7 - 4\/7.\nAnswer: -2*(l - 2)*(140*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -3444?\nAnswer: -3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 25. Let c be l(8). Suppose c*h - 9 = 4*h. Suppose -2 = 3*p - 11. Solve -2*s + 1 = -z, z - p*s + 4 = -h*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5506 - 5335. What is the lowest common multiple of 33 and y?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 12 - 3 - 28*w + 5 + 7*w. What is the remainder when 41 is divided by q(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(10\/7)\/((s*s*s*s**2*s)\/s)*(s**(-1))**16 assuming s is positive.\nAnswer: s**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + a778?\nAnswer: a799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23299 (base 12) to base 6\nAnswer: 1001513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2734000 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 0*u**4 + 0*u**5 + 0*u - 37\/3*u**3 + 2 + 13\/3*u**6 + 0*u**2. Find the third derivative of m(s) wrt s.\nAnswer: 1560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -87*x**2 + 4*x + 84*x**2 - 4*x. Let w(q) = q - 4. Let u be w(6). Let y(g) = 0*g**2 + 0*g**2 - u*g**2. Determine j(y(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7731.273 hours?\nAnswer: 27832582.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) - (-68)\/18. Suppose 2*g + 1814 = w*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 144, 0.18, 2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 5*j**2 - 3*j - 7*j**3 - 1 + 3*j**3 + 5*j**3. Let h be b(-4). Sort -3, h, 0 in ascending order.\nAnswer: h, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9658 - -0.0342. Let d = 110 - 105.1. Let w = d - a. Round w to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 45 = 5*j, 4*p + 41 + 7 = 4*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 56554*y. Let l(c) = -2*c**2. Give m(l(v)).\nAnswer: -113108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (819 - 819 + 32*x)*(3*x - 6*x + 0*x)*(1 - 4 + 2) to j*x + v + b*x**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 - 6*h**2 + 6*h - 2. Let y(f) = 5*f**3 + 6*f**2 - 7*f + 1. Let z(b) = -6*d(b) - 5*y(b). Give z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218436 equal to 218434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*x - 26, 3*x + 4 = 4*q + 2. Let z(y) = -4*y + 28. Let h be z(15). Let u = x - h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*x + 36, 0*f + 28 = 3*x - 4*f. Let w be 1*4*(-4)\/x. What is the units digit of (10 + w)\/(6\/57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -13, -19, -25, -31, -37?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 8*n**2 - n + 3. Let r be p(8). Let u(a) = a**3 + 5*a**2 - 5*a. Is u(r) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21790114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 1)\/(9\/(-150933)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 19 = 52. What is the third smallest value in y, 1, 0.027?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l - 19*l - 3*l**2 + 6*l**2 - 18 - 2*l.\nAnswer: 3*(l - 6)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.5 + 39. Let i = -36.6 + 5.6. Let o = k + i. Which is the third biggest value? (a) 1 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 22 + -25 + 0 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*r - 16283 = 0, -8*b + 3*r + 32503 = -4*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/140*14*2\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2623 + -2619. Solve -3*o + 5 = -4*p, w*o + 3*p - 2 + 12 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/1*(-6)\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 1 p when three letters picked without replacement from {x: 1, f: 3, p: 4, m: 4, c: 4, n: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 273407 - -19?\nAnswer: 273424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s + 2340. Is s\/30*10\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:34 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:04 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1896, 1\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 250.93218 months?\nAnswer: 0.020911015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k**2 - 68*k - 31. Calculate p(8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -838 - 1232 = -9*n. Let t = n + -202. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 - n**4 - 10*n**3 - n**2 + 2 + 4*n**3 + 3*n**3 to the form z*n**2 + t*n**4 + s*n + d + y*n**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70453, 140543, 210607, 280633, 350609, 420523, 490363?\n\"Answer: -2*m**3 - m**2 + 70107*m + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.151917 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*-2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 3. Let w(a) = -a**3 + 7*a**2 - 6*a + 4. Let o be w(5). Let c = -24 + o. Suppose c = -6*p + 2*p - k - 14, 3*k + 9 = -p. Calculate z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5))\/(40\/(-100)). Let h = 5 + -3. Is h\/g + -4 + 148 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1902, 7623, 17154, 30489, 47622, 68547, 93258?\n\"Answer: -l**3 + 1911*l**2 - 5*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 + -180. Let f = 31 - 60. Let p = f - -53. What is the greatest common factor of n and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31752.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -41313?\nAnswer: 41331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1403, -2805, -4217, -5645, -7095?\nAnswer: -8573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Let d = g + -3. Solve 8 = d*v + 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172100 and 625700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*p**3 - 9*p**4 + 4*p**2 + 231*p**3 - 3 - 104*p**3 in the form y*p**4 + q*p + k*p**2 + b*p**3 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 4*d - 1 = 0, -2*w + 8*d + 14 = 3*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 3601, 9 in increasing order.\nAnswer: -37, 9, 3601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 9*r + 80. Let m be w(9). Let n be 82\/8 - 1\/4. Calculate the highest common factor of m and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4074 < -11529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 9*o + 15. Give s(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.892 + 0.108. Let w = 45.000027 - g. What is w rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-4) - ((-164)\/(-8) - (-20)\/(-1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4279 is divided by 357.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1703*j**3 + j**2 + 13*j + 35. Is w(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 634, 610, 576, 532, 478?\n\"Answer: -5*s**2 - 9*s + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 4*s - 4*s + (-6*s + 2*s + 2*s)*(1 + 2 - 1) - s + 2*s + 0*s + (-s - 3*s + 2*s)*(-2 + 1 + 2) + (-6 + 1 - 5)*(-2*s + s + 2*s).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -520666, -520665, -520664, -520663, -520662?\n\"Answer: l - 520667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149296 and 6192?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249 - -242. Let t be 20 + ((-4)\/3 - j\/3). Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - 5.87. Let t = 5.99 + d. Let g = t + -0.19. Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 6494400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1160, -4537, -10090, -17759, -27484, -39205, -52862, -68395?\nAnswer: -85744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(44)\/((sqrt(275) - sqrt(11))*1))\/(sqrt(128)*-2*-4))**2.\nAnswer: 3\/32768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*t + 31 + 41*t + 20 + 7 - 19 to r + o*t and give o.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1328 - -1215. Let g = -1679 + x. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p + 24 - 24)*(-41*p**3 - 104*p**2 + 104*p**2) to k*p**4 + f*p + g*p**2 + t*p**3 + z and give k.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 6*f - 3. Let r be i(8). Is 2\/r + 2384970\/910 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268\/53 at least 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-42) - (-3)\/(-6). Let p(u) = -35*u**2 + 103*u + 6. Let j be p(3). Determine k, given that -b*k + 0 + 2\/7*k**3 + j*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*l + 55*l = 71*l + 3630 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/2 + 4191057*k**2\/2 - 10477674*k + 8382144 = 0.\nAnswer: -1397024, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10168 - -4953. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*m + 4*m, -3*y + 2*m = 0. Suppose 2*o - 26 = -y*o. Let l = o + 23. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(18)\/sqrt(18) - -1*sqrt(144))\/(sqrt(432)*2 + (sqrt(6)*-1)\/sqrt(2)).\nAnswer: 16*sqrt(3)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 6. Suppose y = 5*y - 12. Suppose 3*c + 2*q = -9, -5*q - y = 3*c - q. What is r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.45 - 0.55. Let n = -65 + 65.46. Let x = n + -0.56. Is z at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.5 - 17. What is the nearest to f in 0.2, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -672 - -2018\/3. Suppose f - 3*u = -7 - 1, 0 = -5*u + 15. Let y be f*(-3 + 14\/2). What is the nearest to -8 in y, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.7 (c) 5 (d) -0.1 (e) -155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.8, 46, -4.385 in increasing order.\nAnswer: -10.8, -4.385, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(19\/2736*-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-57))\/((-6)\/57))\/((4*-6)\/(-6))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -122 + 1096\/9. Let s = -202.7581 - 0.0419. Let o = s + 203. What is the nearest to l in -0.1, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94108405 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 o when four letters picked without replacement from ojoooojojojjo?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 - -2) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55282*m - m**2 + 367 + 493 - 55282*m to the form o*m**2 + c*m + h and give h.\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, -9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.93. Let u = k + -0.07. Put u, 0.3, 2 in ascending order.\nAnswer: u, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 73 + 3 + 108. Solve -s = -9*y + y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -3, -0.4 in descending order.\nAnswer: 1, 0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 385865.64s?\nAnswer: 4.4660375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*u = 62, 5*d + 7*u + 3704 = 3625 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -445, -893, -1341, -1789, -2237?\n\"Answer: -448*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34131, -68470, -102775, -137040, -171259, -205426?\n\"Answer: s**3 + 11*s**2 - 34379*s + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f + 14. Calculate o(-16).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1675c7 + -2?\nAnswer: -1675c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1996670, 1996692, 1996714?\nAnswer: 1996736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7792866 to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 7. Let m(o) = -33*o**2. Determine m(u(d)).\nAnswer: -33*d**2 + 462*d - 1617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or 3194?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(-13\/4)\/f)*f)**(-1\/30))**(2\/81) assuming f is positive.\nAnswer: f**(-17\/4860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, m: 4, k: 4, a: 1}. Give prob of picking 1 a and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let y(h) = -h**3 + 12*h**2 + 11*h + 10. Let c be y(12). Let r = 165 - c. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84706261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*((-1 - 3 + 1)*(0*z + z - 3*z) - z + 0*z + 0*z + (z - 3*z + z)*(-2 - 4 + 4)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = -4*r - 38, 4*v + 8 = 4*r. Let n = r + 5. Suppose n*l = 4*l - 10. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79030513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-999)\/(-18)*-2*(-5)\/(-15)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -557 + 4?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 4 + 4)*(-c - 16*c**2 + c) + 0*c**5 - c**2 + 2*c**5 + 3*c**2.\nAnswer: 18*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3049*w**3 - 35*w**2 - 134. Let j(b) = -1525*b**3 + 19*b**2 + 73. Give 6*c(i) + 11*j(i).\nAnswer: 1519*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 17*i**2 + 4*i + 14. Suppose -4*n + 20 = -2*a - 0, -2 = -a. Is o(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.00437 + 2.02. Round q to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (196\/168)\/((-7)\/(-4)) + (3 - 6270\/(-72)). Factor -q*k**2 + 99*k - 27.\nAnswer: -3*(11*k - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5739510 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9739*p**3 - 6*p**2 + 483589*p.\nAnswer: 58434*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r*r**(-2\/9))\/(r*r*r**0*r**(-4)))**(-2\/11) assuming r is positive.\nAnswer: r**(-68\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -889*p - 167*p**5 + 15*p**2 + 889*p wrt p?\nAnswer: -10020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -1.4. Let b = z + 5. Let x = -244.7 - -246.7. Put 1\/3, x, b in descending order.\nAnswer: b, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111110 (base 2) in base 5?\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 + 7383*j\/2 - 29580.\nAnswer: 3*(j - 8)*(j + 4930)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/9 + ((-117)\/(-65))\/((-15)\/(-50)). Which is smaller: 0.321 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/120 + (-148)\/(-15). Suppose 5*a + 0*a - g = 0. Suppose a = 2*v - b, -5*v + 2*b = -4 - 2. Solve v*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109578092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1040 (base 7) to base 3\nAnswer: -111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114.189283 rounded to the nearest integer?\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506867 is divided by 883.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**5\/13 + 178*h**4\/13 + 734*h**3\/13 + 862*h**2\/13 + 300*h\/13 = 0.\nAnswer: -25, -3, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)*h*h**(3\/16) assuming h is positive.\nAnswer: h**(-173\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18169.24km to nanometers.\nAnswer: 18169240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 - 104. Suppose -r*p - 24*p = -140. Solve 0 = -p*v, 0*v + 1 = -m + 4*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 10*x**2 + 9*x - 5. What is s(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3890, 3900, 3922, 3962, 4026, 4120?\n\"Answer: w**3 + 3*w + 3886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10669 + 17949. Suppose 5*o = n + 975. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**7\/5040 - a**6\/720 + a**5\/15 - 3*a**2. Let m(k) be the third derivative of s(k). Give m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.6. Let r = -255 + 258. Suppose 3*v = g + 3, -12 = 20*g - 22*g - r*v. Sort 3\/4, q, g, -1.\nAnswer: -1, q, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/3, 2166.87, 4, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.8 and -7046374257.19.\nAnswer: -7046374262.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27356 + 0.07356. Let m be ((-8)\/20)\/(19\/(-5)). Which is the fourth smallest value? (a) 4\/25 (b) 1\/3 (c) n (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 30\/7 - 1\/7*i**3 + 59\/7*i.\nAnswer: -(i - 30)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 + 4*x - 3. Let g(t) = 4*t**3 + 5*t - 4. Calculate -4*g(q) + 5*s(q).\nAnswer: 4*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/7)\/(i\/(i\/(i\/(i**2\/i*i))))*(i**(2\/33)\/i)\/(i*(i**(-2\/5)*i*i)\/i) assuming i is positive.\nAnswer: i**(-2438\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2203 - 24269\/11. Calculate the common denominator of k and 10\/12*((-150)\/(-4))\/5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 157*c**2 + 7*c + 10. Is 12 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326 divided by -26.\nAnswer: 163\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25350 (base 9) in base 13?\nAnswer: 79bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68359 divided by 347.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5203068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-9))\/(-1*5\/75). Suppose 9*o - 5*w - 1089 = 5*o, -u*w + 241 = o. Let p = -70 - -108. Calculate the greatest common divisor of o and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 37984?\nAnswer: 37984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 33 = 4*u - 7*u, 4*u + 12 = 2*o. What is the remainder when 95 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r - 4*o = -29*r + 4, -5*o - 5 = 0. Sort 58, -4, r.\nAnswer: -4, r, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 1 + 11. Let c(m) = -i*m + 1 - m + 5*m. Let z(t) be the second derivative of -t**4\/12 - t**3 + 3*t**2 + 5*t. Give -6*c(q) + z(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -6, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from eemmkee?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2931278 is divided by 2931238.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5260200 by -2.\nAnswer: 2630100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 199*s - 6363. Let o be z(32). Solve -20 = -o*f, f - 2*f - 5 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kky when three letters picked without replacement from {k: 2, w: 4, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22672.08 hours in seconds?\nAnswer: 81619488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**5 - 5*h - h - h**5 - 4*h wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/12)\/(3*3\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7329\/1288 + (-9540)\/1696?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/10)\/((-2)\/25). Let a = 131455 + -131452. Put a, x, -1\/6, -0.5 in decreasing order.\nAnswer: a, x, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 13 - 4*6\/20. Factor 0*y**2 + i*y**3 - 2\/5 + 2\/5*y**4 - 4\/5*y.\nAnswer: 2*(y - 1)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 10 - 7\/3*g**3 + 0*g**2 - 5*g. Find the first derivative of p(b) wrt b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10 + 5*s**2 - 2 - 2*s**2 + 1111*s - 1094*s. Calculate the remainder when 38 is divided by m(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.39 - -13. Let i = -1.01 - -1. Let a = i + x. Put -5, -0.1, a in descending order.\nAnswer: -0.1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - -6) + (0 - (-5 + 4 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1115445*w**5 - 4*w**3 + 311*w**2 + 1109*w - 3 wrt w.\nAnswer: -66926700*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803 divided by -5?\nAnswer: -1803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 equal to -6955\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 1\/3 (c) -25\/13 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/479514 and -46\/233.\nAnswer: 479514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/8)\/i**4 assuming i is positive.\nAnswer: i**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o - 5*m + 340 = 0, 82 = o + 2*m. Calculate the highest common factor of o and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 13765*y + 13760.\nAnswer: 5*(y + 1)*(y + 2752)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*f - 79182394 = 33292606. What is f rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -7. Let y = 45 - g. Solve y = 4*v + v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18734 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: Which is the closest to 0.4? (a) 3 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882.3 rounded to the nearest 10?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -13382483\nAnswer: 34\/13382483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 2*a + 2*a + (-3 + 3 - 2*a)*(-1 + 4 - 4) + (-8 - 6 - 5)*(0 + 0 + a) to the form o + m*a and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-2 - (-1 - 3)) + (4 - 12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-464)\/11)\/(-1) + 72\/(-396). Let c be (z\/(-28))\/(6\/(-8)). Let v(y) = -2*y**2 + 2*y**2 - y + y**2 - 2. What is v(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6 + -10 + -6 + 7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 17}. Give prob of picking 2 n and 1 e.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + u + 11. Let f(n) = -6*n**2 - n - 17. Calculate -5*f(a) - 8*h(a).\nAnswer: -2*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -43, -78, -117, -154, -183?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (865557\/29976)\/(49\/8).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-16 + (0 - (-8 + 0)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11926 is divided by 3784?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/108 and 89\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -22*l**2 + 179*l + 1547. What is u(-9)?\nAnswer: -1846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1267739 - 767739. What is x rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4309, 8654, 13023, 17416?\nAnswer: 21833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84777881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 99*u + 550176 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*i + 251 - 63 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50744167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 10*s + 9. Let w be (-12)\/(-18) - 40\/6. Let h be f(w). Let k = h - -3. Which is bigger: -11 or k?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 2360 = -1996. Suppose 5*i + 6*v = 3*v - 357, i = 4*v - 53. Let y = i + s. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7390 and 265991965.\nAnswer: 3695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-17 - (15 - 23))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*c - 29 = -3*n, -5*c = 4*n - 25. Suppose n = l, -3*d = 5*l - 99 - 115. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-888)\/(-18))\/(2\/12). Suppose 292*h = v*h - 12. Factor 30*f**2 + 3\/2 + 51\/4*f + 12*f**h.\nAnswer: 3*(f + 2)*(4*f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/2 + 705*u**2\/2 - 50601*u\/2 + 1009899\/2.\nAnswer: -3*(u - 101)**2*(u - 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2437? (a) 0.03 (b) -0.03 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1813 is divided by 798.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**3 + u**2 - u - 1. Is v(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5021010 (base 7) to base 14.\nAnswer: -116377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 6*g + 28 = 0. Suppose 31 = g*z - 2*s - 139, z - 40 = s. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from papaaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2387135 is divided by 186?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 5, -5, -194.\nAnswer: -194, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00104390611 rounded to 5 dps?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohnrnkoeneeonon. Give prob of sequence honn.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + 2. Let o(q) = -34*q**2 - 1312. What is o(k) + 9*z(k)?\nAnswer: 2*k**2 - 1294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 173 + 2?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 1, -0.1 in descending order.\nAnswer: 1, -0.1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20118.422319 take away 258?\nAnswer: 19860.422319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*h - h - 21 = 0, 3*o - 17 = -2*h. Let r(u) be the second derivative of u**4\/12 - 2*u**3\/3 - 5*u**2\/2 - 3*u. Calculate r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-5240.\nAnswer: -5240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*k + 254. What is k rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3331*z**3 - 13573 wrt z.\nAnswer: 9993*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.996 - 0.004. Let l = -1.4 + -4.6. Let z = 0.2 + -0.5. Put l, z, q in descending order.\nAnswer: z, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let c(q) = 9*q. Let n(s) = -c(s) - 6*p(s). Let k(r) = 14*r - 26 - 13*r + 26. Calculate n(k(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114\/13 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314 + 253. Is 40 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101.3 - 101.1. What is the closest to -1 in 5, k, -5\/4, -4\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 97 = -5*m - 249 - 139, 2*m - 5*b + 65 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 197.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*c + 152*c = -384*c - 132*c - 51428 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 309 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -13 + (0 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 2 - p**2 + 5*p**4 + 13*p - 12*p + 0 in the form o*p**2 + j*p**3 + q + s*p**4 + t*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1 (c) -167 (d) 4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -35*x + 3*j, -4*j = -5*x + 15 - 27 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*o + 65*o + 57*o - 3 + 65*o + 59*o + 3.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 7*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1923 (b) 1 (c) -3\/7 (d) -33\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1536 = -60*n. Solve -n = -12*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 982, 980, 978, 976, 974, 972?\n\"Answer: -2*c + 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, -1470, -2590, -4158, -6174, -8638, -11550?\nAnswer: -14910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1260)\/(-405) + 6\/(-2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002170 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291401.334 minutes to weeks.\nAnswer: 28.9088625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (22 + 1 + -2 - 7 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z)**(-28)*z\/((z**(-5\/9)\/z)\/z)*z*z**(-2\/15))**(3\/16) assuming z is positive.\nAnswer: z**(6499\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671.87 tonnes in kilograms?\nAnswer: 3671870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871926, -1743911, -2615896, -3487881, -4359866?\nAnswer: -5231851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 663*t - 4513. Let a be u(4). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:24 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 2*s**2 - 12*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose -3*z = g - 4, g = -1 - c. Find the second derivative of -1 + 2*u + 3 - 2 - 5*u**z wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + h**2. Let t be x(-1). Let z = 93 + -88. Solve -z*n = 2*k + 12, -4*k + 0*k = -t*n - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**3 + 104*t**2 + 20*t - 14. Determine f(-7).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-1 + 1 - 1)*(4*b - 17 + 17).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 12 (b) 1\/6 (c) 1.7 (d) -4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 8*x + 5. Let s(c) = c**2 + 9*c - 8. Let g be s(-10). Suppose 0*z - 14 = -g*z. Give t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1408*i**2 + 22*i - 42. Let r(d) = 282*d**2 + 4*d - 8. Calculate 11*r(z) - 2*u(z).\nAnswer: 286*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o - 3. Let m be i(5). Let b = 82 + m. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31820264 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 411.\nAnswer: -411.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 times -0.1\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012021 + 1012000100?\nAnswer: 1010211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0, 55, 4\/181, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -209, -900, -2053, -3668, -5745, -8284, -11285?\n\"Answer: -231*h**2 + 2*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2991 divide 27023685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1 - 3*j - 3 + 110*j**2 + 1 - 3*j - 111*j**2. Give k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l + 3*p = 173, 3*l + 5*p = 138. Suppose -n + l*v - 36*v - 7 = 0, 2*n - 2*v - 2 = 0. Solve 4*x + w - 2*w = 7, n*x = w + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 30013120?\nAnswer: 30013122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -h + 22 - 57, -5 = -c. Let n = h + 69. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*c**2 + 383*c - 499*c**2 + 37*c + 149*c wrt c?\nAnswer: -1136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4368 and 23304?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*v + 74*v + 42*v**2)*(-2 - 3 + 7)*(-1 + 2 - 10).\nAnswer: -756*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**8\/252 - 2*o**7\/105 + o**6\/30 - o**5\/45 - 3*o**2. Factor a(x).\nAnswer: 4*x**2*(x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/648*-8*6\/5. Which is the closest to 0.2? (a) t (b) -2\/7 (c) 1.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 85 = -3*o, -344*j + 346*j - o - 142 = 0. Solve 3 = -35*c + j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2)*2)*-3*3.\nAnswer: -27 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b5bcf (base 16) to base 7.\nAnswer: -45031323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.05 (b) -10 (c) -5\/2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 13*t + 4 = 0. What is l in 5*l**2 + 6*l**2 - 16*l**t + 4*l**2 + l = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 155, 915, 2189, 3983, 6303?\n\"Answer: q**3 + 251*q**2 - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 6*l - 3. Let u be p(-4). Suppose j + u*q = 4*j - 14, -5*q - 5 = 0. Solve -j*i = -y + 1 - 6, -20 = -4*i - 2*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let n be 5\/(15\/12) + k. Suppose -5*o = 4*t - n*t, -3*o = 3*t. Solve 5*q = 2*h + 5 - 25, o = -h - 3*q - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/(1\/(-604)). Suppose -3*g + 2*n + v = 0, -g = -4*g + 3*n + 300. What is the remainder when g is divided by (-5)\/2*130*(-24)\/600?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:54 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-270)\/(-35) - 8) + (-130274)\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -1\/945*s**7 + 0*s**6 + 0 + 0*s**3 + 4*s**2 + 0*s**4 + 1\/270*s**5 + 0*s. Let w(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 483 + -2409\/5. Suppose -6\/5 + x*s**2 - 3*s**3 + 3*s = 0. Calculate s.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine halves of a minute?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*x - 32. Let u = -11 + x. Let y = -6 + 9. Solve b = -y*b + u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 350\/(-875) + 46226\/(-10) + 0. Round j to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -37, -13, 29, 89, 167, 263?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6876 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 22*d**4 + 24*d**4 + 44*d - 4 + 2*d**3 + 7 to z*d**2 + s*d**4 + u + m*d + c*d**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 13*r - 7. Let g be x(-10). Suppose -5*y = -22 - g. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33241.\nAnswer: 13, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (-1296)\/(2 - 50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -49. What is the third smallest value in w, -3, -50?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(98) + sqrt(98) + sqrt(98) + -1*sqrt(98))**2 + 1)*1 + 4).\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 8. Suppose -2*d - 2*d + 4 = l*n, 2 = 4*d + 5*n. Suppose d*r - 2*k - 5 = 0, 3*r = k + 8 + 2. Solve 4*y + 19 = 4*j - r, -2*y = 2*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17192 + 17175. Let i(n) = -18*n - 305. Determine i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 9\/(((-3)\/35)\/((-200)\/350))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.5 - 3.9. Let x = -6 + w. Which is the nearest to 2\/7? (a) x (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16792 divided by -4198.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 0 + -5 - ((sqrt(605)*2)**2 - sqrt(5)).\nAnswer: -2425 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {c: 4, b: 1, k: 2, v: 1, t: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 11 = -3*k + d, -5*d - 5 = -30 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/4))\/w)**49*(w**(-3\/7))**(-5))**9 assuming w is positive.\nAnswer: w**(3627\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -4*o + 2943. Let j = o - -10798\/11. Calculate the common denominator of j and 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29407 + -29412.9705. Let c = 0.0295 - d. What is the fourth smallest value in c, 42, -4, -5\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -53.92. Let v = -0.92 - h. What is the biggest value in 2, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 + 384 = 3*t. Let j(s) = -s**3 - 10*s**2 + 5*s - 3. Let f be j(-10). Let q = f + t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 410*z - 170*z + 140*z + z**2 to n + b*z + c*z**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/7692373 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8396 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15057 and 5019?\nAnswer: 15057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*i - 4812 = 0, -2*d - 6*i = -8*i - 9584. Calculate the remainder when d is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11021212120 + -3?\nAnswer: -11021212123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9*f + 11. Let y = -7 + 10. Suppose 4*h - 23 - 27 = 5*v, -3*v + 24 = y*h. What is the smallest common multiple of g(h) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13db4 + e?\nAnswer: -13da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7391)\/(-152) - 15\/(-40). Solve 15 = 54*w - m*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22315.7 - 242823.33\nAnswer: -220507.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 7*q + 3. Let r be d(8). Let k(z) = -z + 6. Let f be k(0). Let b(x) = x**2 + x + 3. Let j(i) = i**2 + i + 4. What is f*b(t) + r*j(t)?\nAnswer: t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + r**3 - 6*r + r + 8*r.\nAnswer: -3*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 3*m + 4. Let c be g(-4). Find z such that 2*z**3 + 2*z**4 + 2*z**4 + c*z**4 + z**5 - z**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 17 - 1 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2) + -1 - 3. Let s = 15462\/5 - 3093. Which is the second smallest value? (a) 2\/9 (b) 2\/11 (c) s (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/7 and 14\/1201?\nAnswer: 8407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100101011111110011 (base 2) in base 13?\nAnswer: 762138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, 255, 570, 887, 1206, 1527?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (10 - 9 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**2 + q - 4 - 17*q**2 + 9*q**2 to m + y*q**2 + z*q and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10832 + -6276?\nAnswer: -16aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4440862 litres in millilitres?\nAnswer: 444.0862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387665638?\nAnswer: 2, 53, 3657223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, 538.4, -0.3, -14\/3 in descending order.\nAnswer: 538.4, 15, -0.3, -14\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.05 plus 289469?\nAnswer: 289465.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -534, -800, -1066, -1332?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 741 - 326. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569763932?\nAnswer: 2, 43, 3312581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 3:18 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*x = 9, 3*u - 8*u + 5*x + 20 = 0. Let k(w) = w**3 + 4*w**2 - 5. Let b be k(1). Factor -2\/9*z**4 - 2\/3*z**u - 2\/3*z**2 + b - 2\/9*z.\nAnswer: -2*z*(z + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - 16. Let f(j) = -61*j**3 - j + 1. Let m be f(1). Let o = m - y. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/420 and -107\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + (1085 - 1036 - (69 + 0))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhxxzhxxxut. Give prob of picking 2 x, 1 h, and 1 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23651403 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.44873mm in centimeters?\nAnswer: 8.944873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16480 - -18295.2. What is t rounded to the nearest 10?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 51. Which is the closest to -1? (a) 5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 0*i + 0*i + (-65*i**2 - 5097*i + 5097*i)*(0 - 4 + 6).\nAnswer: -131*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986430 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 4*s + 6. Suppose -5*m - 30 = -0*m. Let l be x(m). Suppose -3*v + l = -v. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3096 + 3099. Solve 2*x + 3*v = -14, -o*x + 3*v = -5 - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - g**4 + (3 - 3 - g)*(2*g**3 + 0*g**2 + 0*g**2) - g**4 + 2*g**4 - 2*g**4 + 14*g**4 + 635 - 635 to i*g**3 + w + y*g**2 + s*g**4 + o*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*h + 6, 0 = -2*y - 0*h + 5*h + 10. Find the third derivative of -x**2 - 5*x**2 + 8*x**5 + 9*x**2 + y*x**2 wrt x.\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 22 + 12 + -45 + 121?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -354*g + 15532. What is w(44)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146578272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.5 + -12. Let l = 7.006 - 7. Let o = l - -0.194. What is the fourth biggest value in 1\/2, o, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143064852?\nAnswer: 2, 3, 7, 59, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*a + 97*a - 204*a - 599 - 1281.\nAnswer: -a - 1880","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 117*b**3*k + 10*b**3 - b**2*k**2 - 15*b*k**2 + 28*b + 7 wrt k?\nAnswer: 117*b**3 - 2*b**2*k - 30*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let d be (-3)\/(-18)*-2*3. Let g(f) = -6*f + 4*f - 6*f - 2*f + 2*f. Give d*g(u) - 5*m(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o*o*o**(-4)*o)\/o)))\/o**21 assuming o is positive.\nAnswer: o**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 4d646?\nAnswer: -4d64f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122 + 13?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349\/23490*60*-2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10527 + -31579\/3. Which is the nearest to -68\/15? (a) 0 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 3:15 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1475, 2\/331, 14?\nAnswer: -0.1475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/19498 and -81\/12754.\nAnswer: 124338746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 354 - 331. Let g(a) = a**2 - 29*a + 141. Let w be g(x). Let l = 30 + -4. Solve l + 0 = 4*c - w*p, -2*c + p + 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m - 38*m + 14*m - 7*m + 7 - 7 + (-1 + 0 + 2)*(-2*m + m + 2*m) - 4 + 4 + 2*m as z*m + q and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9.2. Which is the closest to 0.2? (a) -0.2 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-335)\/(-3015))\/(1*2\/12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 11*z**2 - 8*z - 7. What is the remainder when 37 is divided by p(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -500 + 526 - 296 + 390*m**4 wrt m?\nAnswer: 1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 10) to base 16\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 500215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*b - 12, -20 = 45*c - 48*c - 2*b. Suppose 0*h - 4 = -2*h. Let w be (-2 + h - 1) + 8. Solve c = -w*r + 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439686 is divided by 439679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14093 in -1\/9, -7, -1, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 - -240. Suppose r = 5*n + 9. Let g = -12 + n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*w. Suppose -2*n + 0 = -14. Suppose 5*q = 43 + 7. Solve 0 = w*s + 4*u + q, -s + 3 + n = -u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - -121011021?\nAnswer: 121010302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -30*q**3 - 7*q**2 - 5*q - 3. Let v(a) = a**3 + 5*a**2 + 4*a - 9. Let b be v(-3). What are the prime factors of w(b)?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -0*d. Suppose d*k = s + 986, 0 = -3*k + 4*k - 3*s - 334. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {e: 4, w: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 - 6*k - 1381. Let q(t) = 4*t**2 - 2*t. Calculate -p(h) + 2*q(h).\nAnswer: 2*h**2 + 2*h + 1381","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/13 - (-6993)\/91. Suppose 28*x = l + 175. What is the greatest common factor of 48 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 13916\/4565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) + (sqrt(931) - (0 + sqrt(931) - sqrt(931)) - sqrt(931)) - sqrt(931)))**2*1 + sqrt(931))*-3 + -1.\nAnswer: -2794 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.01. Let t = -0.26 + f. Which is the closest to 1\/3? (a) -0.1 (b) 3\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5183, -10475, -15767, -21059, -26351?\n\"Answer: -5292*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374 and 326128?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*g + 145*g - 13*g**2)*((3 - 2 + 0)*(-3 + 0 + 6) + 3 - 2 - 2).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + (16 - 9 - (-3 + 9 - (5 + -3))).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -19 + (-18 - 20)\/(-2). Let u(o) be the third derivative of -1\/24*o**4 - 1\/6*o**3 + x - 2*o**2 - 1\/120*o**6 + 0*o - 1\/60*o**5. Determine u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5459*p + 6234*p - 75175 = 0 for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/180*3\/2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 98*x**3 - 55211016*x**2 - 236619990*x - 253521900 = 0.\nAnswer: -15\/7, 563382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8 + 2\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9132 is divided by 340?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-18) + 4\/6. Let l = -23 - -19. What is the nearest to 0 in l, -4\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -3 (b) -2\/197 (c) -6 (d) -10 (e) 19 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*k + 10, 5*k = -4*m + 2*m + 4. Suppose 4*r + 12 = 0, -3*o + 55 = o - r. Let y = o + m. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b588 (base 14) to base 5.\nAnswer: 2000114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -5.\nAnswer: 168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69\/7 + -573\/56. Let n = -548 + 544. Which is the biggest value? (a) 0.2 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2619, 6574, 11871, 18522, 26539, 35934?\nAnswer: 46719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/(-9408))\/((-1)\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345 or -343?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1431867*3.6\nAnswer: -5154721.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 11*g + 13. Let r be v(10). Let d(b) = -b**3 - b**2 + 4*b. Let n be d(-3). Suppose n = -2*p + r*p. Solve -4*f = -2*f - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*x - 228877 - 4436219. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386047 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79\/104 - 8367\/7592. What is the common denominator of 25\/4 and z?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 25. Find the third derivative of 0*t**5 - 8*t**g + t**2 - t**2 + 6*t**2 wrt t.\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n - 7. Let r = -8 + 12. Let v be r\/(-6)*9*1. Give y(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6 - 1 + 2 + 1 + 1 - 1 - 1 + (-1 + 1 + 1)*(-3 + 0 + 2) + (0 + 3 - 1)*(43 - 5 + 19))*(-2*q - q + 2*q) as x + o*q and give o.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = 0, -q + 24 = -3996*g + 4001*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*z**4 + 26*z**4 - 70*z**4 + 448*z**3 - z**2 in the form g*z**2 + d*z**3 + p + v*z**4 + h*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 + 11*n**2 + 22 - 2*n**2 - 39*n - 73 + 52 + 22 + (-2 + n + 2)*(-2 + n + 2).\nAnswer: 10*n**2 - 39*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 5) to base 7\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/((-20)\/(-60)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -1 - (-55 - -151 - 91 - (-2 + -3)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 2*x = -20, 0 = -102*n + 100*n + x + 3 + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.2. Let h = -15.88 - -886.88. Let y = -882 + h. Which is the closest to -1\/3? (a) y (b) r (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -31*h + 30*h. Let o = -636.66 + 645. Let g = o - 0.34. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4826383473?\nAnswer: 3, 1608794491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/83 - 213\/166. Which is smaller: a or 53?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 2:54 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210305 or 6?\nAnswer: 210305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224808705.\nAnswer: 3, 5, 11, 454159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from hmmmmmmmmmmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -501 + 501. Let z = 3.97 - -0.03. Which is the third biggest value? (a) z (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2842854)\/67687*3*4\/98*-1?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 5*d**6\/6 - d**5\/5 + 173*d**4\/4 + 14*d + 1. What is the third derivative of l(g) wrt g?\nAnswer: 600*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 28 = -8. Suppose -1085 = 5*v - s*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 0, 5*c + 21 = -5*m - 4. Let g be 10\/c - 9\/6. Is 1191\/15 + g\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**4*o**3 - 149*k**3*o**3 - 509*o**3 wrt k?\nAnswer: 12*k**3*o**3 - 447*k**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q**2 + q + 1. Let r be p(-1). Find x, given that -7*x**3 - 2*x**2 - x**2 + 11*x - r + 5*x**2 - 4*x = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 + 5*h + 2. Let v(p) = 9*p**2 + 9*p + 5. Calculate 5*n(y) - 2*v(y).\nAnswer: 2*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-6 - (7 - 21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76900, -153770, -230630, -307474, -384296?\n\"Answer: v**3 - v**2 - 76874*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 9\/5*z**3 + 0*z**4 + 6\/5*z**2 + 0*z + 3\/5*z**5.\nAnswer: 3*z**2*(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78886.\nAnswer: 2, 39443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20041 - 3322?\nAnswer: -23413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s + 0)*(-4 - 6*s**2 + 4)*(3*s - s + 0*s).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18009, -143946, -485809, -1151562, -2249169, -3886594?\n\"Answer: -17994*i**3 + i**2 + 18*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 8:07 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(1\/8 - (-5)\/(-20)). Let b = c + -14. Solve -3*s - b = -3*q, -5*s = 5*q + 12 - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiohxxiooihoiixiki. Give prob of picking 1 h and 1 o.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqlliqqlqll. Give prob of sequence iql.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 300.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/85 - 399\/(-15). Solve -3*s - 3*h - 9 + 3 = 0, 0 = 4*s - 3*h - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287 - 287 + 859*v**2 - 3*v**3 to the form h*v + g*v**3 + u*v**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -h + 102. Let m = 77 - h. Suppose -m*s = -4*s - 59. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*k - 20 = 0, -3*a + 0*a = 3*k - 33. Suppose -a*d = -4*d - 45. Suppose -200 = 11*u - d*u. Is 44 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*q = 110*q - 186 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*a + 58619 = -11965. Calculate the remainder when a is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/30)\/(6\/28). Solve -4*o - a = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -23 in increasing order.\nAnswer: -23, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*k**3 + 635*k**2 + 330*k - 360.\nAnswer: -5*(k - 12)*(k + 1)*(11*k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u + 112*u = -230 + 566. What is the closest to u in -57, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 4. Let f(x) be the second derivative of -7\/2*x**2 - 9*x + 0 + x**3 - 1\/12*x**4. Give f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 332319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2 + 0 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*y + 9, 5*k + 3*y = 5*y - 29. Let g = 8 + k. Calculate the common denominator of 13\/2 and g*3\/(54\/(-201)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 5*n. Does 11 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25625.45852 to one dp.\nAnswer: 25625.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 1*1\/(-1). Suppose -p*l + 5 = 2*a, -2*a = -7*a - l + 19. Let n = -1 + a. What is the smallest common multiple of n and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 9. Let l(k) = -k. Give l(r(j)).\nAnswer: -2*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645875?\nAnswer: 5, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926*s - 922*s = 3*m + 107, 6*m = s - 32 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -79, -82, -85?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/5))**23\/((k*k\/((k*(k*(k**(1\/13)\/k*k)\/k*k)\/k*k)\/k*k)*k*k)\/(k*k**(-2\/49))))**(-21) assuming k is positive.\nAnswer: k**(-122649\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 74\/5 of a gram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuwuwuwwwuuuuuuuuuu?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7 - 9, -5*n = o - 17. Sort o, 2, 4 in decreasing order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v + f - 7, -5*v + 4*f = -11. Solve -v*d = 5*y, 9 = d - 4*y - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 6 + (-1836)\/(-351) + -9)*-1\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from {m: 1, d: 8, u: 2, j: 5, a: 2}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - (-88)\/14. Let a(s) = o - 7 + 7*s**2 + 1. Let f(j) = -j. Determine f(a(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**5\/20 + j**4\/4 + j**3\/2 + 5*j**2\/2 - 2*j. Suppose -4*w - 3 = 1. Let z be ((-12)\/6)\/(w\/2). Determine u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 30*a + 9. Let z be (90\/75)\/((-3)\/(-5)). Let d(s) = -7*s - 2. Let f(g) = z*t(g) + 9*d(g). Let r(l) = 12*l**2. What is f(r(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89868.31 centuries?\nAnswer: 107841972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 - 59*g\/6 + 68.\nAnswer: (g - 51)*(g - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/10 and 5\/129714.\nAnswer: 648570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48566 at most 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(3\/(-6) - -1). Let z(d) be the second derivative of -d**5\/20 + 5*d**4\/12 + 7*d**3\/6 - 3*d**2\/2 - 2*d. Calculate z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l - l)*(l**2 - 61*l + 61*l) + 2*l**3 + l**3 - 4*l**3 + (-2*l + 5*l - 4*l)*(-1 + l**2 + 1) - 2*l**3 + 1 - 1 - 4*l**3 - 4*l**3 + 5*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeffeeeeeeee. Give prob of sequence fe.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Let m(j) = -10 + 8 + 9 - 8*j. Let v(s) = -5*m(s) + 35*n(s). Let p(k) = -k**2. What is v(p(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**5\/20 - v**4\/4 + v**3\/6 + 5*v**2 - 2*v + 3. What are the prime factors of j(-12)?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 0, -2*s = -3*p - 5. Let h be (3 - p)\/(-2) - -6. Suppose l + 4*c + 9 = 0, 2*c = h*l + 3 - 24. Solve 3*n - 6*n - l = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 13497*b**3 + 27003*b**2 - 13503*b.\nAnswer: -3*b*(b - 1)**2*(b + 4501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/(i**(1\/3)*i))**(3\/16)\/(i*i*(i*i**(3\/16))\/i*i*i*i*i**(5\/3))**(-3\/4) assuming i is positive.\nAnswer: i**(229\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.25426 + 1.25426053113. Round q to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -506.6090314 - -0.0066314. Let b = u - -507. Let s = b + -0.4. What is s rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (6 - (-12)\/3). Let y be (-10)\/(-3)*d\/10. Suppose b**4 + 13*b**2 - 13*b**2 + 20*b**5 - 9*b**y = 0. What is b?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2806194*v = 2806123*v + 355 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1478*z + 75. Let h be j(2). Suppose -n = 5*a - 5037, 3*a + n + 4*n - h = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 1625780.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18773 is divided by 277?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 187926212?\nAnswer: 1879262120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14854 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 11)*(33 - i - 9 - 12 - 5)*(-17 + 17 + 49).\nAnswer: -294*i + 2058","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -38300882 greater than -38300882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 2948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -102.3. Let p = s + 9. Which is the nearest to 1\/4? (a) -3\/4 (b) p (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1778350 divided by -2.\nAnswer: 889175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 754878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8264320 divided by -129130.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/11 - 23720*a**2\/11 - 70211050*a\/11 + 704484500\/11 = 0 for a.\nAnswer: -5935, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243, 573, 903, 1233, 1563, 1893?\nAnswer: 2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -478\/5 + 95. Let p be (2080\/78 + -25)*(0 + (-1)\/(-70)). Put o, 3\/5, p in descending order.\nAnswer: 3\/5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.43 + 26.43. Which is the nearest to 2? (a) h (b) 3 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 30. Let t(q) = -q**3 + 8*q**2 - 6*q - 5. What is the smallest common multiple of t(7) and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 - f**2 - f - 2. Calculate the smallest common multiple of -4 + 1 - -24*7\/14 and b(2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3 - 220*m**2 + 11524*m = 0.\nAnswer: 0, 86, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*t**2 + 79 - 150 + 71.\nAnswer: -311*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25926.3 grams?\nAnswer: 25926300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = 8*m. Is m > -4\/1965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 + 8 - 7*a + 0 + 5*a**2 - 5 + 13. What is r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 1, z: 7, c: 4, m: 4}. What is prob of sequence jz?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*h**3*w**3 - 31*h**2*w + 4*h*w**3 wrt h.\nAnswer: 534*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 6121?\nAnswer: 611a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Let p be 22 + (0 + 2)\/b. Suppose -4*r - v = -2, -3*v + 6 = r - 2*r. Solve p = -2*q + 5*l, 0*q + 2*q + 5*l - 27 = r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 1. Let a be h(-2). Solve 0 = o + a*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/10)\/(2\/20). Let n = h + 3. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) - (-22)\/10. Suppose -p*m = 3*m - 2*f - 374, 5*m - 376 = 3*f. Suppose r + r = m. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1108681963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 517 + 47. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 3*d**8\/112 + d**4\/8 + 6*d**2. What is the second derivative of z(g) wrt g?\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 247\/6 - 41. Let f = -1.1 + 0.6. What is the closest to 0.2 in 5\/4, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -2*a - 29. Let g be (46\/(-8))\/((-1)\/4). Let i = a - g. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3217 - 980 + 6928395*x - 6923965*x wrt x.\nAnswer: 4430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4 + 81*c**3 - 483*c**2 - 81*c + 486 = 0. Calculate c.\nAnswer: -1, 1, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -54.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 1. Let q be h(2). Let v = 10 - q. Suppose 2*j - 1015 = -v*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*x + 2*z + 2*z = -z + 3*z - 454, 5 + 6 = -3*x - 4*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -169, -0.2, 4\/5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6055 and 175?\nAnswer: 30275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12078864*j*z**4 - 22404154*j - 2 wrt z?\nAnswer: -48315456*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 26*v**2. Let a(y) = -125*y**2 + 69*y - 10. Calculate a(u(d)).\nAnswer: -84500*d**4 + 1794*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-34)*(-4)\/((1800\/18)\/10).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from bhjlo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 15*l + 307. Determine w(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 0*v + 2*v**2)*(-v + v + v) - 19*v**3 - 16*v**3 + 45*v**3 to the form b + j*v**2 + y*v**3 + r*v and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 61*a - 3. Let j be u(-6). Is 911\/5 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 77*y - 454. Give h(71).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -179, 3, -3, 4.\nAnswer: -179, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19905943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50804 times -861?\nAnswer: 437.42244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69422 + -38973. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.889336ug?\nAnswer: 0.000000000006889336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/((-1180)\/413).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 1281175509?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 8175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.98 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*n**3 + 6*n**2 - 10*n**2 + 7*n**2 - 11*n**2 + 1 wrt n?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1083304482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - i + 3*i - 3*i + i + (-5*i + i + 3*i)*(-1 + 2 - 2))*(43*i - 43*i + 9*i**2) to y + u*i**2 + p*i**3 + z*i and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 193406960*o\/7 - 4675781522055200\/7.\nAnswer: -2*(o - 48351740)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.89, 0.1, -4.12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 2*b**2 + 3*b**3 - 3*b**3 + 19 - 18 - 2*b**4 as h*b**2 + q*b**3 + g*b**4 + t*b + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**3 + 18*b**3 - 5*b - 1 - 23*b**3 - 4. Give v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 53*z + 49*z - 1230 = 0, -2*z = -5*b + 3043. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-6*(-8)\/12. Suppose 2*q = l + 8, 0 = l - 0*l + s*q - 16. Solve l = c, -4*c - 2 = -5*x - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**6\/15 - 91*r**4\/12 + 131*r**2 - r + 13. What is the derivative of d(m) wrt m?\nAnswer: 8*m**3 - 182*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -160*q**3 - 68*q**2 - 117*q + 60. Let r be b(-44). What is r rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 13248?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/9)\/(4\/42). What is the tens digit of 14\/i - 168\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4 + t**3 + 3*t**2 - t - 2 = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49289940 and 560.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-146)\/(-12) + -1 + (-27)\/162)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618464.\nAnswer: 2, 7, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -1797, -2723, -3607, -4437?\nAnswer: -5201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*m - 31, -6*m + 5*m = -3*s - 13. Suppose -l - 13 = 2. What is the remainder when 2*m\/(-4) - l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13714, -14373, -15032, -15691, -16350, -17009?\n\"Answer: -659*z - 13055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.5 - -10. Let q = 8 + -9.5. Let l = w - q. Which is the closest to -1? (a) -2\/3 (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1813, -3611, -5409, -7207?\n\"Answer: -1798*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q**2 + 2*q**3 + 4*q**2)*(-2*q + 0 + 0) + 508756*q - 2*q**3 - 4 - 508751*q + 6 + 54*q**4 as a*q**2 + h*q**4 + b*q + c*q**3 + l and give h.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 300 - 301.8. Let h be (-12)\/55 - (-2)\/5. Which is the second biggest value? (a) 4 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3603864 divided by -561?\nAnswer: -6424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -24687?\nAnswer: -24684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2736) + 1 - sqrt(2736)) + sqrt(2736) + (sqrt(2736) + (sqrt(2736) + 2 + sqrt(2736))**2)*1.\nAnswer: 120*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31133849\/14 + 2225988. Let z = -2140 + t. Let w = z - 8\/7. What is the closest to 1\/6 in w, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24628)\/(-1128) + 42\/(-2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0, 0.3, -6, -35?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 - 26*o**3 + 3*o**3.\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12422552 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -11*o + 30. What is the remainder when 64 is divided by ((5 - 35) + -4)*(-3)\/o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-126))\/(-1) - (23644\/1799 - (-28)\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -10 + (-5 - (51 + -14))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1320503 - 943682 = -55*q - 22*q. What are the prime factors of q?\nAnswer: 5, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*z - 22 = z, -4*z = 8. Suppose -41 = -a*l - 1. What is the greatest common divisor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times -37670?\nAnswer: 1544470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p + 2031 + 2032 - 4061.\nAnswer: -23*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 + 12*c**2 - 7*c + 10. Let g(z) = z**3 - z**2. Let o(s) = 5*g(s) + t(s). Let n be o(-8). List the prime factors of ((-112)\/4)\/n*-1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 4*b + 3. Let s(t) = -2*t**2 - 5*t - 4. Let d be (132\/(-8))\/((-21)\/56). Let z = 40 - d. What is z*s(f) - 5*a(f)?\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 116301 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-1)\/(-6))*-280. Let d = -59 - y. Let q = d - -253\/21. What is the closest to q in -2\/3, -2\/5, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 + 17255*c**4 - 18623452*c**3 + 32210732*c**2 + 352876832*c + 427646912 = 0.\nAnswer: -2, 23\/4, 2156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(5 - -5). Let x(n) = n**2 + 4*n. Let j be x(c). Suppose -4*k + k + 30 = 3*p, -85 = -j*k + 2*p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18037467 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109166*0.08.\nAnswer: 8733.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*d**5 + 10*d**3 - 2*d + 394.\nAnswer: 620*d**3 + 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 6. Let n = f - 12. Suppose -g - g = -n. Solve p - 25 = -g*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.2 - -103. Let k = m - -1.2. Let u = k + -10. Which is bigger: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/372 and 59\/774?\nAnswer: 47988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12 + (-1)\/(-2). Let n = 32 + -28. Let d = -0.07 + 0.37. What is the second biggest value in v, d, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(13) + 5 - ((sqrt(832) + -5 + sqrt(832) + sqrt(832) + -1 + sqrt(832) - sqrt(832)) + sqrt(832))**2.\nAnswer: -13346 + 382*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -16. Let t(j) = -j**2 - 6*j. Let z be t(-5). Suppose 0*w - 4*w + 37 = f, 3*f - z*w - 43 = 0. Sort i, f, -2.\nAnswer: i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.2 less than -0.03447963?\nAnswer: 72.16552037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1701) + (sqrt(1701)*3 - sqrt(1701)) + sqrt(336)*-2)*-4)\/(-2*(1*sqrt(15)*2)\/((sqrt(80) - 2*sqrt(80) - sqrt(5)) + sqrt(5))).\nAnswer: -76*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687 + 1264. Let b = -580 + t. What is the third smallest value in -8, 2\/9, 4, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 430*q + 2158. Let h be k(-5). Solve -25*v - h = -29*v - 4*y, -3*v - 14 = -2*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -1\/7 (b) -1\/3 (c) 97 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 93 = 33. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 8*y + 4. Let p be m(-6). Is -3 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 9. Let d be (-4)\/(-12) - 44\/(-12). Let t be a(d). Suppose 0*k + 2*k - 3*z = 7, -t*k + z = -28. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**5\/20 + d**4\/12 + d**3\/6 + 3*d**2\/2 + 31*d. Calculate v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 2, a: 2, y: 2}. What is prob of picking 1 a and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -14, 35 in ascending order.\nAnswer: -14, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3373\/485 + 15\/97. Is -6 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -2. Suppose 0 = 2*z - b - 349, -6*z + 5*b = -z - 875. Let h = z - 171. Calculate the lowest common multiple of h and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = 0. Calculate the least common multiple of 5 and (-4)\/(-16)*m + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47090387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 9. Suppose -l*d + 42 + 38 = 0. What is the highest common divisor of 40 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 203567?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305 + 85. Let b = n - 203. Suppose 5*j = 5, -2*d - 4*j = -2*j - 24. Calculate the greatest common divisor of d and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 271168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.049, -9\/8, 2\/15, -7, -2, 7\/15?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 690341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/2 + 89835*c**2 + 2692800*c.\nAnswer: 5*c*(c + 30)*(c + 35904)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*d - 37 = 0, 120*q - 31 = 119*q + d for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -71*l**3 - 13*l**2 + 207. Let q(h) = -100*h**3 - 18*h**2 + 290. Give -17*n(i) + 12*q(i).\nAnswer: 7*i**3 + 5*i**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-3) + 52\/(-24) and (-104)\/18 - (-13)\/(-39).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**6 - 803*w**5 - 3*w**3 + 6874*w**2 wrt w?\nAnswer: 240*w**3 - 48180*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 748, 815, 894, 991, 1112?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j + 1. Let z = -9 - 12. Let m = z - -22. Calculate the remainder when 39 is divided by d(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -39, -159, -389, -765?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = -83. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 2*r**3 + 3*r**2)*(4*r - 4*r + 3*r) + (r - r + 2*r**3)*(-2*r + 3*r + 7*r).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 484710 divided by 16\nAnswer: 242355\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -5*d**8\/336 - d**5\/60 - 15*d**2. What is the third derivative of q(c) wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 1323.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-31)\/1) + 154\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 19. Let i = 81\/16 + -5. Do i and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032+-42547.7419892\nAnswer: -42547.7739892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -8*q**6\/75 - 18*q**5\/25 - 113*q**4\/60 - 5*q**3\/2 - 9*q**2\/5 + 2*q. Solve f(z) = 0 for z.\nAnswer: -2, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 47. Suppose 0*u = -4*u. Let y be n(u). Let l = y + -26. Calculate the greatest common factor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 16. Suppose -10 = -j*k + k. Suppose -5*q - 4*d = 14, 2*q + d + 1 = -4. Sort k, q, -5 in descending order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2884 - 2883.8. Let d be -2 + 2 - (-2)\/16. What is the nearest to 2.8 in d, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 + 3*a + 2. Let k be t(-1). Solve k = -w - 0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1028 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, i: 2}. What is prob of sequence jjij?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230 by -10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 4. Suppose 2*s + 2*o + 0*o + 4 = 0, 2*s = -5*o - 13. Suppose -s = 5*f - 26. Let d = 0 - f. Give x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 i when four letters picked without replacement from iinnoaaoinioanniiao?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/215724 and 101\/105.\nAnswer: 7550340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + 46*f - 2. Let a(n) = n**3 + 6*n**2 + 93*n - 3. Determine 3*a(l) - 5*p(l).\nAnswer: -2*l**3 + 3*l**2 + 49*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63886443193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232051220?\nAnswer: 2, 5, 43, 47, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 7*l**2 + 5*l - 7. Suppose -2*b - 12 = -2. Let j be s(b). Let g = j - 9. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:54 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 114 = -3*r. What is the smallest value in r, -3, -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 15 = -3*v, 0 = -4*v + f - 15 + 33. Let g be ((-5)\/6 + 1)*3. Put v, -4.3, g in decreasing order.\nAnswer: v, g, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let x be o(2). Let p(t) be the first derivative of -x*t**4 + 2\/5*t**5 + 0*t + 8\/3*t**3 + 0*t**2 + 5. Solve p(y) = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 35*r**2. Let c(y) = -4*y**3 + 70*y**2. Give 11*b(q) + 6*c(q).\nAnswer: -2*q**3 + 35*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 4, f: 2, s: 10}. Give prob of picking 1 e and 2 f.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 9*t + 6. Let p be r(5). Let k = -7160 + 7168. Solve p*x - 28*x + k = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24345 + -24077. Solve 273 = 5*o + i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**2 - 11*n - 11. Let p(o) = 6*o**2 + 7*o + 7. Give 5*f(l) + 8*p(l).\nAnswer: 3*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/(-6)*((-78)\/3 + 2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.68303 less than -213?\nAnswer: -178.31697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 13*t**9\/63 + 83*t**5\/60 - 5*t**2 + 7*t. What is the third derivative of y(j) wrt j?\nAnswer: 12480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, 13, 5, -13, -41, -79?\n\"Answer: -5*l**2 + 17*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76250*t**3 - 3*t**2 - 228769*t**3 + 76256*t**3 + 76262*t**3.\nAnswer: -t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22385766 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*q - 174*q - 23*q**3 + 4*q**2 + 86*q - 2*q**2 to the form k*q + t + y*q**2 + w*q**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85\/6? (a) 0.07 (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -28 (c) -0.0037 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9365.9059 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 10*m + 27. Determine x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 26*a - 55. Let t(r) = 3*r**2 + 77*r + 169. Give -10*s(p) - 3*t(p).\nAnswer: p**2 + 29*p + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -64. Which is greater: u or -29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 62 = 23. Let f = m + -27. Let h be 6\/(-7)*1*f. Solve 0 = -5*y - 5*q - 15, -4*q - h = 8*y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 2*v**2 - 2*v - 3. Let d(z) = -2*z**2 + 4*z - 2. Suppose -w + 2 = -0. Let c be d(w). Determine i(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**22*x**(-2\/9)*(x**(-5))**(-2\/47))**(-15\/7) assuming x is positive.\nAnswer: x**(-46510\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.5, -0.5, -2.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -43, -89, -135, -181, -227, -273?\n\"Answer: -46*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 19*q**4\/24 + q**3 + 2*q**2. Let j be z(8). Let w be 1\/2 + j\/4. 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: Let t = 6.1 + -5.6. What is the nearest to -1 in 109, 2\/23, 0.2, t?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*f - 14, -5*i = -2*f - 3*f + 10. Suppose f = 5*l - 15, 0 = -5*a - 5*l + 295. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 0.3, -3394115?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-48)\/8)\/12*-10 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i - 4*z + 96, 3*z + 43 = 2*i. Suppose 0 = 3*a - 5*a - i. Let u = a - -12. Calculate the highest common divisor of u and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -204810?\nAnswer: -20481b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-10 - 2) - (-95 + 58)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 2*d - 6. Let o(h) = 4*h**2 + 9*h - 25. Let s(b) = -6*o(b) + 26*v(b). Is 29 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6) + (sqrt(360)\/sqrt(6))\/sqrt(10)) - (0 + sqrt(80) + 1 + sqrt(80)).\nAnswer: -15*sqrt(5)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-102)*-1*4\/2. Let u = 0.4 + -0.1. Which is the closest to 1? (a) d (b) u (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + ((-2)\/5 - (-21)\/15). Let i = -18 + r. Let c(x) = x**2 + 11*x + 20. Let q be c(i). Solve 4*a = -2*p + 6 + q, 3 = 5*a - p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/28 (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*i + 146 - 146)*(-2*i + 6*i - 2*i) as j*i + m + p*i**2 and give p.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgd when three letters picked without replacement from gggdduguc.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 2*c + 1. Let q(i) = 3*i - 50. Let s be q(15). List the prime factors of v(s).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*z + 676 = 693, 0 = -y - 4*z - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 2 (c) 5 (d) -4 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5798800 is divided by 25103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 + 3482*w**2 - 3*w + 2 - 3489*w**2 - 3*w - 3*w to r*w**2 + d*w + a*w**3 + c and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-87)\/(-870) + 1\/(-5)). Which is the closest to 0? (a) 3 (b) 5 (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*m - 645 + 105. Let d(w) = 19*w**3 - 7*w**2 + 7*w + 1. Let t(n) = 9*n**3 - 3*n**2 + 3*n. Give m*t(x) + 2*d(x).\nAnswer: -7*x**3 + x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6018648 is divided by 130?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r = 46*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39\/4 - 9. Let q = -3.73 - -3.73. Sort v, q, -1\/3.\nAnswer: -1\/3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6)*(-42)\/(-105) - (-14)\/(-6). Let n = 0.1 - 1.1. Let v = -6 - n. Which is the closest to y? (a) v (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-37.06.\nAnswer: -37.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*g + 1651 = 26*g - 16*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 + 3*c**2 + (0 - 2 + 1)*(-c**2 + 2 - 2) - c**2 - 3*c**2 - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r**(3\/5)\/r)\/r)*r**(4\/9))\/(r**(-26)\/r**(7\/3)))**18 assuming r is positive.\nAnswer: r**(2896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279484 is divided by 213?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11648095507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 + 9*c - 10. Let k be o(8). Let x be (2\/(-4))\/(k\/36). Suppose 0 = -16*p + x*p + 112. Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-2)\/((-40)\/15)). Let z be (0 - 2) + 6\/1. Solve -8 = u*w - z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48429.3228 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2016\/(-53) - (-28 - 26676\/(-954))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21751713 by 27.\nAnswer: 805619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -2*l**6\/15 - l**5\/60 + l**3\/6 - 10*l**2. What is the units digit of u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 11*l**2 + 1\/6*l**4 + 0*l**3 - 1\/7*l**7 + 0*l + 3\/112*l**8 - 1\/3*l**5 + 0 + 37\/120*l**6. Solve t(w) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*j**3 - 11*j**3 + 69*j**3 + 252*j**3 - 65*j**3.\nAnswer: 340*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56712.8 millimeters in micrometers?\nAnswer: 56712800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwmmz. Give prob of sequence wm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640 is divided by 384?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3223410 (base 5) to base 11.\nAnswer: 38239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/136 and -46\/5.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -430 and -0.0304.\nAnswer: -430.0304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2402862 and 327663?\nAnswer: 7208586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -35 + 18 - 2*d**2 + 17. Let k(y) = -4*y. Let g(m) = -2*m. Let s(z) = 10*g(z) - 6*k(z). What is s(l(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 846164306.17291?\nAnswer: -846164305.87291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.01, -10, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 162. Let m(l) = l - 54. Let j(p) = 5*k(p) - 14*m(p). What is the derivative of j(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 403503?\nAnswer: 403454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.86 + 6.36. Let z = 672 + -667. Let b = -47\/7 - -531\/77. Put 0.2, z, h, b in descending order.\nAnswer: z, h, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -81*v**3 + v**2 + 17*v + 16. Calculate t(-1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 - 152849010*t - 1168140992899005 = 0.\nAnswer: -15284901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 38 + 5*r + 1\/3*r**3 - 15\/2*r**2. What is k(10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-86.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -8287)*(-7 + 6). Let x be (-298101)\/(-18)*(-4)\/8. Let j = x + t. What is the common denominator of j and -9\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 18 = -3*t, 713783*i - t = 713788*i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1541, 5, -4, 2, 3 in ascending order.\nAnswer: -4, 2, 3, 5, 1541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -48207.8 - 20962793?\nAnswer: -21011000.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 51110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11001010101011000110 (base 2) to base 4\nAnswer: -3022223012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*b**3 - 138*b**3 + 258*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/16 and -15\/232?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5978 + 24345. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -38654?\nAnswer: -38658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.86, -18, 151, 0 in descending order.\nAnswer: 151, 0.86, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 5*z**3 + 3*z**3 - 4*z**3)*(-17 - 20*z + 17) as t + p*z**2 + f*z + c*z**4 + u*z**3 and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 - 941*q**2 + 149479*q - 148539 = 0. Calculate q.\nAnswer: 1, 201, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 1\/6*y**3 + 0*y + 1\/60*y**5 - 3*y**2 + 1 - 1\/12*y**4. Let q(i) be the second derivative of o(i). Factor q(h).\nAnswer: (h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {r: 2, t: 1, s: 4, h: 1, p: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose -10 = -3*f - 2*q, -3*q + 14 = s*f + q. Suppose p - 2*w - 6 = 7, -2*p + 5*w + 30 = 0. Solve -g = -f*g - p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 7*o**2 - 8*o - 2. Let u be x(-6). Suppose -53 = -b - 3*c, -520 = -5*b - 3*c - 147. Calculate the highest common factor of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11776?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 41670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-84))\/(7\/(-21))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by -498121.\nAnswer: 192\/498121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90\/595*680\/120\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3976 = -57*o + 525 + 430 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/24 + 13*c**3\/6 + 5*c**2. Let y(p) = 2*p**2 - 6*p - 11. Let d be y(5). Determine h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*f**5 + 204*f**4 - 544*f**3 + 144*f**2 + 576*f = 0. Calculate f.\nAnswer: -4\/5, 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 10434?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*m**2 - 77*m**2 - 589*m**2.\nAnswer: -501*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 15. Let l be 0 - p\/(2\/39). What is the highest common divisor of l and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1756 - -840?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**4 - g**4 + 3*g**4)*(-39*g + 43 - 43).\nAnswer: 117*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22307090 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -213 in -0.5, 48\/13, -0.1, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let o(t) = 906 + 26*t - 97*t + 27*t + 25*t + 25*t. What is o(h(b))?\nAnswer: 6*b + 906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.054*1.1\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -122, -182, -242, -302?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111331030231 - 1122?\nAnswer: 111331023103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12\/(-132) - (24\/(-80) - 1389\/(-330)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -21 + 1)*-1. Let d be ((-2)\/w)\/(6\/(-24)). Let l = -13 - -10. Which is the third smallest value? (a) l (b) d (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) - 63\/(-14). Suppose 110 = v*z - 0*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005400547 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*s + 10 - 13 = 0, 3*s = -8*j - 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82\/12 - 90\/108. Let m(o) = 8*o**2 - 8*o + 10. Let x(t) = 17*t**2 - 17*t + 21. What is d*x(p) - 13*m(p)?\nAnswer: -2*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -12394, -10, 3 in decreasing order.\nAnswer: 3, 1, -5, -10, -12394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 12 = -2*d - 6, 5*d - 3*c - 22 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 224, 448, 672, 896, 1120, 1344?\n\"Answer: 224*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980437850.\nAnswer: 2, 5, 13, 19, 373, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -4\/7, 55.6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1035\/182 - -99\/14. Let z + 30\/13*p + 14\/13*p**2 + 2\/13*p**3 = 0. Calculate p.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2431 less than 2335?\nAnswer: 4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(528)\/(sqrt(275) - 3*sqrt(275) - sqrt(275)))**2.\nAnswer: -59\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -4597, -15338, -36211, -70582, -121817, -193282?\nAnswer: -288343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) 6.37 (c) -0.5 (d) 2 (e) -34 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*1 - 2\/((-2)\/35). Suppose -c*d + 20*d = -44. Solve 10 + 2 = d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 4. Suppose -10*w = -13*w + 6. Suppose o*j = -w*j + 20. Solve -2*l + 3 = -1, -h - j*l + 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + g)*(5*g - g - 2*g)*(-617*g**2 - 590*g**2 + 1450*g**2) - 2*g**4 + 1 - 1.\nAnswer: -488*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*i - 43*i - 1159159 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 365, 851, 1539, 2429, 3521, 4815?\nAnswer: 6311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*h + (-48*h + 80*h + 4 - 44*h + (-3 + 0 + 1)*(-h + 2*h + h) + 4*h - 5*h - h)*(-3 - 13 - 20).\nAnswer: 650*h - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52277 rounded to two dps?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -123256 + 2?\nAnswer: -123254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 2992.\nAnswer: 20944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, 225, 663, 1265, 2025, 2937, 3995, 5193?\n\"Answer: -r**3 + 91*r**2 + 2*r - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2. Let k(g) be the second derivative of -g**3\/6 - 19*g**2 - 2*g + 49. What is o(k(w))?\nAnswer: 4*w**2 + 304*w + 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r - 27. Determine i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 16*b - 23. Let o be m(7). Let k = 293 - 291. What is the closest to o in -3, -0.2, k, 0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 9*w - b - 289, -22*w + 27*w - 5*b - 85 = 0 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*f + 35 = 0, 0*f = 5*t + 4*f + 41 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3162 divided by 527.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -3*f**5\/25 + 332*f**4\/15 - 3718*f**3\/3 + 2420*f**2 + 116*f. Find i such that x(i) = 0.\nAnswer: 2\/3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and 17\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3673677 and 65660?\nAnswer: 3283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -52. Suppose 5*p - p + 4*t - 4 = 0, -36 = -4*p + l*t. Suppose 0 = f - 4, 6 - 43 = -p*m - 3*f. Calculate the remainder when 17 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f, 3*j + j = 4*f - 25292. Is (3 - 1)\/(5\/(-10)) - j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16289 is divided by 16173?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d - 25*d - 28*d in the form j + z*d and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + -0.8. Which is the third biggest value? (a) 5 (b) 1\/10 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28585 and 790?\nAnswer: 4516430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d - 4*p, 14*p - 9*p = d - 3. Suppose -24*z + 3*z**3 + 12*z**2 - 12 - 28*z + z**d + 48*z = 0. Calculate z.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:02 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 18937\nAnswer: -1893.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -173, -315, -583, -1019, -1665, -2563?\nAnswer: -3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1217901990862287.7000039 - 1217902066362938. Let q = d + 75500647. Let l = q + 3.3. Round l to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 4203.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (12\/14 + -2 + (-136)\/28). Suppose 4*n + 5*l - 12 = 0, -2*n = -0*n - l + 8. Put v, n, 5, 0 in ascending order.\nAnswer: n, 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124752 and -82.3.\nAnswer: -10267089.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 419288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 5*v**2 - 3*v + 1. Let p be m(-4). Let u be 16\/3*(p + 135\/42). Factor 2\/7*y**3 - 6\/7*y**2 + 0*y + u.\nAnswer: 2*(y - 2)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 36*b - 960. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004067598 rounded to five decimal places?\nAnswer: -0.00407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57129952 - 4*c - 57129952 - 29*c**2.\nAnswer: -29*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -22 + (31 - 5) + (-2 - 2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/(c**4\/c)*c*c)**11\/(c**(-2\/7))**19)**(-25))**20 assuming c is positive.\nAnswer: c**(-96000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/39 + (15 - 2) + 45999\/(-3497).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 34 + j - 1 + j**2. Let l be u(0). Calculate the common denominator of (l*-1)\/((-16)\/(-3)) and 3\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2876 = -5*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/8 + 11*r**3\/6 + 7*r**2\/2 - 12*r + 11. Let k(j) = 0. What is j?\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 7. What is the remainder when 123 is divided by n(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = -5*a + 31, -3*a = u - 17. Let r(c) = c + 7. Let o be r(-4). Solve a*k - o = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78956 is divided by 657?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -6, -2\/13, -10 in descending order.\nAnswer: 2\/17, -2\/13, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/4 + 2*v**3 - 5*v**2\/2 + 3*v + 436. Give w(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - ((-2)\/10 - (16 + (-172)\/10)). Solve 32*b - 29*b + 18 = -3*y, p*b = -y - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 10. Calculate i(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12309170119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -489, -591, -727, -897, -1101, -1339?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -141, 3\/4, -186\/47, -5?\nAnswer: -186\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*j - 76, j + 91 = 5*f + 2*j. Suppose -4*q + 2*l - 26 = -88, -25 = -5*l. Let a be (2\/q)\/((-6)\/f). Is 17 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 4*sqrt(99)*-1)\/(4*sqrt(441)).\nAnswer: -3*sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 1*(-1 + sqrt(272) + 1)*6)**2.\nAnswer: 96*sqrt(17) + 19586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 5 = -3*a. Let d(s) = -26*s**2 + a*s**2 - 4*s + 16*s**2. What is the units digit of d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -365\/11?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3544, -121, -1 in increasing order.\nAnswer: -121, -1, 3544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*g = 237*g + 60 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7}. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + 3 - 98165\/(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 241*i + 3 = -240*i, 0 = -4*z + 4*i - 28. Which is the third smallest value? (a) -450 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -1238, -2867, -5164, -8129, -11762, -16063?\nAnswer: -21032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624 divided by 4?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 88904618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + (-2 - 3) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 645 - 534. Is ((i\/9)\/(-1))\/(9\/(-1809)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b223 (base 16) to base 15.\nAnswer: 612b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -42. Let c(l) = l**2 + 10*l + 11. Let p be c(-9). Let u(b) = -4*b**2 - 3*b**2 + 2 + 6*b**p - 8 - 7*b. Give u(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**9\/x))**(-1\/31)\/((x**7\/x*x)\/(x**(1\/3)\/x)) assuming x is positive.\nAnswer: x**(-692\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 1, d: 2, g: 1}. Give prob of sequence vgz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 6 = -2*k, 5*k = 3*m - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -415, -1657, -3727, -6625?\n\"Answer: -414*r**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*v - 110*v + 51120 = -47*v. Calculate the greatest common divisor of v and 2820.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) - 12\/36. Suppose -4*f + 2*y = -f - 8, 0 = -2*y - 2. What is the least common multiple of (u - -2)*-1 + 3 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14547 and 17904?\nAnswer: 232752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**2 + 3*r**2 - 8*r**2 - r + r**2 + 8*r**3 to the form n + s*r + u*r**2 + h*r**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 26*b**2 + 384*b + 10080. What is m(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3448 = 5*g + 1168. Suppose -15*j = 4*j - g. Calculate the remainder when 70 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*h + 11 = 5, 2*j - 4 = -4*h. What is the third derivative of -10*w**2 + 15*w**2 + 2*w - 17*w**2 - 149*w**6 - 59*w**j + 23*w**2 wrt w?\nAnswer: -17880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 16*y + 53. Let k(o) = -o**2 - 1. Let m(w) = 2*k(w) + l(w). Let c be m(-5). Let n(j) = j**3 + 6*j**2 + 3*j + 5. Determine n(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 45*y - 1 + 231*y + 1. Let a(z) = 14*z. What is a(x(h))?\nAnswer: 2618*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 1. Let s(a) be the third derivative of -a**6\/120 + a**4\/4 - a**3\/2 + 3*a**2 + 10. Let y be s(2). Determine u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*16\/(-24). Let i = -0.24 + -0.06. Put -0.1, i, o in decreasing order.\nAnswer: -0.1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3 + 6 - 4)*(-2*g + 2*g + g**2 + (-2*g + 0*g - g)*(-2*g + 2 - 2)).\nAnswer: -7*g**3 + 35*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 2*y, 0 = 5*k + 2*y - 48. Let t(h) = -h**2 + 8*h + 8. Let p be t(k). What is the lowest common multiple of -10*(-4)\/p - 1 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45, 16, -15, -48, -83?\n\"Answer: -f**2 - 26*f + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.54 and -1604188739.\nAnswer: -1604188743.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7369, -7467, -7551, -7621, -7677?\nAnswer: -7719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*i - 18 = 0, j + 7 + 6 = -4*i. Let g = j - -117. Suppose 443 + g = 3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 8}. Give prob of sequence yyyy.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3\/11)*v\/v**(-18))\/(v**(1\/22)*v*v**(-5\/7)) assuming v is positive.\nAnswer: v**(3071\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21 - 192\/280)*-15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643125801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/6, 0.5, 1.9, -452, 4, -0.2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxgaxaaxgawwag. Give prob of sequence gg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -99*y**2 + 45*y - 45. Let g(r) = 9*r**2 - 4*r + 4. Let s(q) = q - 12. Let n be s(24). Suppose n*b = 2*b - 40. What is b*c(u) - 45*g(u)?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from {f: 7, m: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/1 + (4 - -3). Let j(w) = -w + 5*w - o*w. Let s(i) = -4*i. What is s(j(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*c + 3*c - 76*c - 9*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82630 by 16526.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 4:39 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*f**3*p + 70*d*f**2*p + d*f**2 + d*p + f*p - 13*f + 2*p + 34 wrt f?\nAnswer: -6*d*f*p + 140*d*p + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/8? (a) -1\/13 (b) -2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385 and 29595060.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b. Suppose 3*x - 3*g = 27, -5*g = -4*x - 6*g + 31. What is the least common multiple of x and m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d + 16481 = 91965 + 6416. Calculate the smallest common multiple of 1950 and d.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 1. Let i(x) = -2*x + 3. Let p be i(3). Suppose r = -2*r + 12, -4*h = 3*r - 8. Let b(v) = 2*v - 2. Give h*b(z) + p*w(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23854230 is divided by 7951410.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31216393\/5 or -6243280?\nAnswer: -6243280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2114006 + -6214006. What is o rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397239?\nAnswer: 3, 17, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4526195343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q + 227 = 1361 + 1426. What is the least common multiple of q and 1\/(-2) - (-354)\/4?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1844, 1845, 1846?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, c: 9}. Give prob of sequence ckc.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6658 <= 6658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-12)*798\/665. Let m be (-28)\/10*(-6)\/4. What is the closest to 0 in n, -0.4, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let n be 111 - 4 - q*2. Let j = 169 - n. Round j to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557448 is divided by 1283.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741449 is divided by 74136.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 - 39*c + 24. Calculate z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 + 9589412*o**2 + 5747296611900*o - 5747306201316 = 0. What is o?\nAnswer: -1198677, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p = -2*p + 10879 - 10991 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - (sqrt(360) - sqrt(40) - sqrt(40) - sqrt(40))*-6)\/sqrt(8) + (sqrt(245)*1)**2*6.\nAnswer: sqrt(5) + 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c4 - -5?\nAnswer: 3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64217*p - 2 = -f - 64218*p, -41 = -f + 12*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2604 + -13018\/5. Which is the nearest to g? (a) -0.2 (b) 3 (c) 2\/11 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 667 + -665. Suppose 4*i - g - 5986 = 0, 3*g = -t*i + 4*i - 2998. Is 34 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1870311 is divided by 935141?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 6:27 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 701092111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v. Suppose v = -2*o + 4*m + 6, 6*o + m = 2*o + 21. Let t(r) = 6*r + 13. What is the tens digit of t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-4 - (-9 + 12 - 8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015386 to 4 decimal places.\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 + 11*r + 10. Let z(j) = 7*j**2 + 10*j + 9. Let w(t) = -6*n(t) + 7*z(t). List the prime factors of w(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 987 - 10962 = -5*k + 5*j, -3*j + 2015 = k. Round k to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 27 + 27.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -49*l**4\/4 + 2*l**3\/3 + 19*l**2\/2 - 4. What is the third derivative of d(b) wrt b?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 3*g - 3. Let t(z) be the second derivative of 0 + 4*z + 2\/3*z**3 - 3\/2*z**2 + 1\/12*z**4. Let b be t(-4). What is c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let w(g) = 10*g**2 + 5*g - 22383. Give k(w(p)).\nAnswer: -20*p**2 - 10*p + 44766","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-10))\/((-4)\/(-2420)). Suppose -4 = -4*a, -n = -3*w + 3*a + 113. Calculate the remainder when w is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84872971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3176385728 to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111010100101110 - -10?\nAnswer: -110111010100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + 0.67. Let w = -11.14 - r. Let c = w + -4.9. Round c to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599759849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1366 or -0.82?\nAnswer: -1366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2. Let o(l) = -14*l - 20. Give j(o(y)).\nAnswer: -1372*y**2 - 3920*y - 2800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -981, -4864, -8747, -12630?\n\"Answer: -3883*c + 2902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 28 + -4 - (-553 + 532)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/21*(-14)\/(-4). Suppose -g + 10 = -6*u + j*u, -11 = -2*g + 5*u. Calculate the remainder when 124 is divided by ((-6)\/(-4) + g)*-64.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*o**2 + 494*o**2 + 428*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + (-79 - (34 + -95)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 4, a: 1, k: 2, v: 4}. Give prob of sequence bkk.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 12*c - 8. Let g be w(-13). Suppose -g*h = -11 - 9. Suppose 0*f - h*f + 24 = 2*r, 0 = -4*f - 4. Solve -2*m = 6 - r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/(1\/(-3)). Suppose 4 = 4*q - 2*q. Suppose 2 = q*s - 2. Calculate the highest common factor of x and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278957236?\nAnswer: 2, 73, 955333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by -3409?\nAnswer: 74\/3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -958353, -1916692, -2874995, -3833244, -4791421, -5749508, -6707487, -7665340?\n\"Answer: 3*o**3 - 958360*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480511666 - -42634.\nAnswer: -480469032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -38, -33, -28, -23?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -13*q**2\/2 - 63. Determine p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10198 minus -1595165?\nAnswer: 1584967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((-2)\/2 - (-18)\/14) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/(-140)*(-2)\/(-7)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3262333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -1585, -1, -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285*v**3 - 142*v + 1 wrt v.\nAnswer: -1710*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -118790000 to the nearest one million.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1225, 2455, 3685?\n\"Answer: 1230*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2179732 is divided by 726576.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o - 9. Let y(j) = -3*j - 8. Let r be y(-3). Let n be v(r). Solve 1 + n = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 - 0?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/12)\/(2\/(-1)*(-5)\/(-80)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/13)\/s*s*s**(-1\/3))**(-2\/53)\/((s\/(s*(s*s\/s**0)\/s*s))**23*((((s**(-1)\/s)\/s*s)\/s)\/s)\/s**(1\/7)) assuming s is positive.\nAnswer: s**(725825\/14469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 2*v**2 + 5*v - 2. Let r be x(3). Differentiate -23*q**r - 2 - 20 + 77*q**4 + 14*q**4 wrt q.\nAnswer: 272*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.3. Let t = 0.5 - n. Suppose r - 20 = -4*r. Which is the closest to -2\/7? (a) -5\/3 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2813344362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1803 + 1635 - 4186)*(-3*d**3 + 0*d**3 + 5*d**3).\nAnswer: -1496*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 13*p**2 + p + 2. Calculate l(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*5\/(630\/56)*(-21)\/(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065724371 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 512904 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((1*-2)\/6)\/((-52)\/624)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y - 4 = 0, -5*o - 22 = 4*y. Let v be (-8)\/o + (-10)\/(-15). Let z = -5 - v. Round z to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*2\/(-9)*108*(-30)\/480?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6\/11 (b) 1\/4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -20073.\nAnswer: 32\/20073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438026?\nAnswer: 2, 19, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/10 and 119\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7746395 centimeters?\nAnswer: 0.000007746395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -63 (c) -37.6 (d) 2159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 10*l**2 - l + 77. Let u be w(-9). Suppose -4*h + 59434 = -3*r, -u*r + 6748 = -2*h + 36472. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:56 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/12 - 2*f. Let w(z) be the first derivative of -21*z**3 + 1742. Determine p(w(c)).\nAnswer: 3969*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1948, -1945, -1940, -1933, -1924, -1913?\n\"Answer: d**2 - 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6793, 2653, -8555, -30365, -66311, -119927, -194747?\nAnswer: -294305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15130 - -15137. Which is the closest to -3? (a) -6 (b) 4 (c) p (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 - 9*f - 2 + 3*f + 2*f**3 + 5*f to the form h*f**3 + y*f**2 + z*f**4 + s + c*f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1944 - 1936. Solve z = -3*o + q + 3*q, -1 = q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4 + 2*r**4 - 5 + 2*r + (-1 + 1 + 1)*(2*r**4 - 3*r**4 + 3*r**4) + r**4 - 3*r**4 + r**4 + 2*r**4 + 0 + 0)*(-2 - 3 + 2).\nAnswer: -15*r**4 - 6*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**4\/7 + 13800*h**3\/7 + 8674536*h**2\/7 - 16549567200*h\/7 + 4314558514608\/7 = 0.\nAnswer: -2738, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*w**3 - 1871*w**2 - 1868*w**2 + 3739*w**2.\nAnswer: -267*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 846\/135*630\/42?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*(-8901)\/(-1548)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 1, q: 5, k: 4, b: 1, h: 3}. What is prob of picking 3 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -35*a. Let y be o(1). Let c be (y\/2 + 1)\/(6\/(-16)). Calculate the highest common divisor of 66 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92 - -19?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449655 is divided by 1629.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000686 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -495 times 5\nAnswer: -2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -24.7. Let z = b - -1.3. Let d = -37 + 112\/3. Which is greater: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-52)\/(-5) - -2) + 8\/(-20). Suppose -12*t = -12 - n. Suppose 0 = t*o + i - 6*i - 37, 2*i - 86 = -4*o. What is the remainder when 61 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/19 + 1508*g\/19 + 65136\/19 = 0. What is g?\nAnswer: -708, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 3, 4\/7, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1002455 and 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11012071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -513 - -503.16. Let r = -0.16 + g. Which is the nearest to 0? (a) r (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5 + 8608*w**4 + 72498*w**3 - 15163720*w**2 + 197647208*w + 212874816 = 0. Calculate w.\nAnswer: -51, -1, 22, 4312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 4*t + 7. Let n be k(-6). Let h = -18 + 24. Let o(r) = r**3 - 7*r**2 + 6*r - 3. Let p be o(h). Sort n, -1, p in increasing order.\nAnswer: n, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.09 (b) -0.2 (c) 3\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 21 (c) 468.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u + 938. Let y be f(-85). Sort -1, 349, -5, y.\nAnswer: -5, -1, y, 349","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/9492 + -140795\/28476. Let s = 42961 + -4768706\/111. Calculate the common denominator of z and s.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/102184 and -123\/6550?\nAnswer: 334652600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-3810)\/(-9525))\/((-8)\/(-90)))\/(((-9)\/38)\/(-3))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Let z = k + 51. Find the common denominator of 87\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 14 = 4*w, -y - 4 = -0*y - 2*w. Let h(t) = t**3 - 21 + 10*t**2 + 22 - 4*t**y + 6*t. Calculate h(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/5 + 29442*k**3\/5 - 793098*k**2\/5 - 5553738*k\/5 - 8728236\/5 = 0.\nAnswer: -3, 33, 14694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*g + 9620601 = 9646866 for g.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635 = -28*s + 4181. Solve 7*f = -s + 165 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l**5 + 110*l**3 + 180*l**2 + 80*l - 12. Let w(f) = 9*f**5 - 44*f**3 - 72*f**2 - 32*f + 5. Let d(i) = -5*k(i) - 12*w(i). Solve d(c) = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/9, -0.2, 1\/10, -3, 0.5 in decreasing order.\nAnswer: 26\/9, 0.5, 1\/10, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 509?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/14)\/(11\/77). Let k be 7 - (p - (2 - 10)\/(-2)). Solve -5*a - 4*r - 25 = -0*r, -5*a - k*r = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z - 115071 = -115201 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17331244 divided by 468412?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(215\/10 - (-2 + 4)). Let i = f - -41. Let t(q) = -9*q + 5. Let x(d) = -3*d + 7*d - 2 + 0. Calculate i*t(l) + 5*x(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*g + 5*g. Let x = g - -23. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 88 = 2*k - 36, 67*n = k + 75*n + 78 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3 - 3. Suppose 3*s + g + r = 5, -s - 2*g + 1 = 0. Is 3 a factor of (s - -1)*(-12)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 19*p + 5. Let c be (8\/(-14))\/p - 210\/(-147). Solve -4*m + 10 = -c*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/2 (b) 16 (c) -2\/6319 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7537623\/145 + -51984. Let l = -211299754 + 490215419233\/2320. Let b = j - l. Calculate the common denominator of b and 93\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -3\/5 (c) 0 (d) 6 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29460307 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-9) - (-8190)\/(-1512).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 4*f - 2*f)*(-4*f + 3*f + 0*f) + f - f - 2*f**2 - f**2 + 3*f**2 - 4*f**2 + f**2 + 1 - 1 + 3*f**2 + 17*f**2 - 5*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1633, 2\/281, -1?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 0 + 2 + 3*g + 1 + 4 to the form k + c*g and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 6\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -319, -323, -347, -397, -479, -599?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**3*l**3*o + 4*h**3*l**2 - 2*h**3*l*o - 17*h**3*o + 31*h**3 + 60320*h**2*l**3*o - 2*h*l**2*o - 21*l*o wrt l?\nAnswer: 24*h**3*o + 361920*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8757281 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89615723 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 29. Let z be h(-20). Suppose -z*f = -75*f + 22758. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 6*w**2 - 37*w + 4. What is k(9)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 39 = -9*o. Suppose -o*j - 12 = -s, 0 = s - 4*j - 1 - 11. Suppose s = 4*q, -k + 3*q - 308 = -1929. What is k rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11626263385\/628 + -18513171. Let f = z + -1\/157. Calculate the common denominator of f and 4 + ((-159)\/12 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 52\/(-78)*(-2 - (-735)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0*s**5 - 133\/6*s**3 + 0 + 37\/30*s**6 - 1\/12*s**4 + 124*s**2 + 0*s. Find the second derivative of g(y) wrt y.\nAnswer: 888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*d + 55*d = -866184000. Round d to the nearest 100000.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-176)*44\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16360 = 12*q - 225316. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-z + 0*z - z) + 3*z - z + 2*z + (3*z - 5*z + z)*(-2 - 3 + 4) to k*z + d and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.045? (a) 0 (b) 7 (c) -30 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-184)\/(-30) + 36\/(-270) + -3. Suppose -5*r = 0, o*r + 522 = 4*v - 1890. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -21*l - 60. Calculate r(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1)\/2*50. Suppose 3*s - 3*f - 28 = 71, -5*f = -s + 49. Let c = j + s. Solve 4 = c*o - 0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 57. Let b = z - -43. Let x = -0.2 + 0.4. What is the closest to b in -2, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 3*m - 10*m to the form i + y*m and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208 + 207.99999388. What is y rounded to seven decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 4\/(-10) - 492\/(-30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*m - m + 20, 2*m - 90 = -4*h. Suppose u = h + 5. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(q**2 + 2*q**2 + 0*q**2) + (4*q - 2*q + 0*q)*(-2*q - q + 0*q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twenty-three sevenths of a week?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j. Let x(c) be the third derivative of c**5\/10 + 31*c**3\/2 + 1461*c**2. What is l(x(n))?\nAnswer: -12*n**2 - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.72 to zero dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.94176424 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2504205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 4*j, h - 9 = -2*h - 3*j. Suppose -4*b + 89 + 15 = 3*f, h = 4*f + 3*b - 148. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 18, 4.\nAnswer: -27, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-490)\/(-175))\/(4\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 53*n**3 - 3*n**2 + 2*n - 1. Is x(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65692 and 17916.\nAnswer: 197076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsheshhehnaa. What is prob of picking 1 a and 1 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54150*y**5 - 66310*y**4 - 109454*y**3 + 35870*y**2 + 28392*y + 3528 = 0 for y.\nAnswer: -1, -21\/95, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4232 - 4229. Put r, 0.43, 1\/4, -5 in decreasing order.\nAnswer: r, 0.43, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161 + 167. Let d be (-3)\/9 + 1 + -2. Which is the closest to 2? (a) d (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/3*(-3)\/(-1). Let b = -49 + 51. Factor -2*j**b - q*j + 10*j + 5*j.\nAnswer: -2*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 28. Let d be v(16). Let m(u) = 2*u**2 - 5*u + 2. Let n be m(3). Suppose 81 - 264 = -n*p - z, 0 = p - d*z - 45. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*s + 555, -3*s + t = 6*t - 571. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -20.4 (b) -0.4 (c) 5 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -111.11, -0.5 in increasing order.\nAnswer: -111.11, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*x = -51, -3*y + 2*x + 51 = 4*x. Suppose -2*k = 2*s - 10, 3*k - 4*k + 2 = 0. Solve p = 2*o - 4*p - y, 37 = -s*o - 5*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64130340 and 2676?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) -4 (c) 0.13 (d) -33 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = f + f. Suppose -3*b + f = -1386. Suppose 5*u - 3*q - b = 0, 4*u + 2*q - 470 = -0*q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 2.94. Let x = -3.8 + -0.2. Which is the nearest to -1? (a) g (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:48 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v - 5. Let p be g(-3). Suppose -3*o - 5*h + 32 = 0, 4*o - 19 = -p*h + 13. Suppose 7 = o*j - 3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94886009?\nAnswer: 31, 3060839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 628*q + 3119. Is f(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 + (121 - (-39 + 267)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 546*w**2. Let o(h) = 850717*h**2. Calculate l(o(n)).\nAnswer: 395150800092594*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 13 = 3*j. Put j, -6, -4 in decreasing order.\nAnswer: j, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/190905 and -82\/195.\nAnswer: 190905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1102 + -4?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 28*r = -39*r. Solve r = 5*q + y - 8 - 21, 8 = 2*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/60 - u**2. Let c(y) be the first derivative of 2*y**3\/3 + 10. Determine m(c(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*1\/(-45))\/(2 - 259\/126)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/120*5*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w + 9. What are the prime factors of a(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 311.\nAnswer: -21.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17740*t = 17960*t - 7700 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7072*c**2 + 15 - 30 + 15.\nAnswer: -7072*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 12 - 3. Suppose 0 = -s*h - b - 2*b, -4*h = 5*b + 5. Let v be (1\/h)\/((-10)\/30). Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-1\/30)*s**(-7)*s**1)**(-44) assuming s is positive.\nAnswer: s**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301 - -2030133?\nAnswer: 2032100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -2998371?\nAnswer: 2998372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*k - 61, -4*g - 24 = -4*k + 60. Suppose 0 = 3*x + w - k, 2*w = -w + 12. Suppose -17 - 6 = -j - 3*a, 5*j + x*a = 115. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -26, -2\/13, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4455\/154)\/(-27)*2\/(-10)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -36. Suppose 2945 = 5*i - q*i. Let d = i - -262. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06329 - 12951423.\nAnswer: -12951423.06329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 - 2*p**2 + 6*p**2)*(-26*p + 45*p - 53*p)*(5 - 1 + 0) to l*p**2 + s*p + f*p**3 + x and give f.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -309.32.\nAnswer: -3.0932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*n - 434 - 178 = 0, 0 = -5*t + 5*n - 1020. Which is bigger: t or -205?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193163 divided by -15?\nAnswer: 193163\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2604 - 2606. What is the closest to -2 in d, 1\/4, 3, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161865445 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000337307814 rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -244?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -43, -78, -123?\n\"Answer: -5*f**2 - 10*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(2) + 3 + sqrt(2) + sqrt(2) + -2 - sqrt(18)*-2))*-2)**2.\nAnswer: 216*sqrt(2) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001072337 rounded to five decimal places?\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1033 + -1044. Let w(h) = -h**3 - 10*h**2 + 12*h - 13. Determine w(n).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*m + 663*y - 666*y + 242, -2*m + 40 = 5*y for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 48*t + 10. Let v be c(-24). Let f(k) = -4*k**2 - 2*k + 2. Let u(b) = -9*b**2 - 5*b + 5. Give v*f(d) - 4*u(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/90*10\/(-12)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2737511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11989 - -11989. Let s be 0\/(2\/4*-2). Find j, given that s + j**4 + 11\/3*j**3 + 2*j**2 + h*j = 0.\nAnswer: -3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098169599.\nAnswer: 3, 79, 4633627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/137 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*s + 2*s + 244, -1236 = -5*b - 2*s. Suppose -5*k + 2195 = -5*t, -k + 175 + b = -5*t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/8 + 252*z**3 - 128511*z**2 + 1515024*z - 4518018.\nAnswer: -(z - 1002)**2*(z - 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-90) - (-6)\/(-18)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3113613541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176588370 divided by 35.\nAnswer: 5045382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 27 + 29)*(0 + 6 - 1)*(2*x - 4*x - 4*x).\nAnswer: -810*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 8*q**2 + 10*q + 10. Suppose -4*d - 5*l + 8 = 44, d - 5*l + 9 = 0. Let h be g(d). Suppose 3*k - 32 = -15 - 11. Solve -h = 3*v - k*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78937 is divided by 78913.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 24*f = -144 + 180. Let p(x) be the first derivative of -2*x**3\/3 + 4*x + 2. Calculate p(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -13, -21, -33, -49, -69, -93?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 - 7*l - 5. Let b be c(8). Let i be (51\/(-12) - -4) + (-66)\/(-8). Suppose -18 = -i*t + 22. Solve -b*j - t = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a micrometer in nanometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 83 = f, 871616*f - 2*o - 46 = 871610*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18 + 471.\nAnswer: 471.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from ullrrrrrurrrrr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 4*y, 2*y - 15*b + 11*b = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 2*k**2. Let x be (-3)\/(-12) - (-77)\/44. Let i be c(x). Solve 2*j + i*j - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2304*u**5 + 808896*u**4 - 20837956*u**3 - 19849284*u**2 + 1762404*u - 37468 = 0.\nAnswer: -1, 1\/24, 29, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 8*c**2 + 3. Let z be a(8). Suppose -3*g + 26 = 4*b, 24 = 2*g - z*b - b. Solve -2*t = -4*t - g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-77)\/(-11) - 11 - -8 and 382.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1547\/3 - 517. Which is bigger: m or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -3*y**4\/4 + 16*y**3 - 231*y**2\/2 + 294*y + 61. Factor h(k).\nAnswer: -3*(k - 7)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i**4 - 1255*i**3 - 22045*i**2 - 12085*i + 35400 = 0 for i.\nAnswer: -59, -24, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 0, 4*i = n - 4 + 9. Let o(h) = -h**2 - 6*h - 1. Let x be o(-3). Solve x*u - i*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7862 + 34236. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21010259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0028 - 0.9972. Let j be (1 - (-9)\/(-6))*1. What is the smallest value in y, j, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 + 4*u + 3. Let c(p) = -p**2 + 2*p. Let r(q) = -5*c(q) + x(q). Let g(d) = 7*d + 1. Let l be g(-1). What are the prime factors of r(l)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/5*1*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -126, -206, -288, -372, -458?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -716, -2504, -6004, -11786, -20420, -32476?\nAnswer: -48524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2 - 0. Suppose -8 = p*k + 3*z, -3*k + 2 = -0*z + z. What is the third derivative of -3*b**3 + 2*b**3 + b**2 + 0*b**3 - 3*b**k wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -2122\nAnswer: -106.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 1, v: 1, x: 2}. What is prob of picking 1 x, 2 d, and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -643 - -1225. Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28628 by 3.\nAnswer: 28628\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-2 + -4)*-3)**2 + (3 + -3*(sqrt(567) + -2*sqrt(567)))**2.\nAnswer: 1458*sqrt(7) + 25668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4136256 and 3446880.\nAnswer: 20681280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 13. Let b be h(-12). Let k = b - -52. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + n**2 + 2*n**4 + 2*n**3 + 0*n**2 + 6*n**2 - 8*n**4 to the form k*n + s*n**2 + r*n**3 + a*n**4 + g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -47*r**3 + 2*r**2 - r - 3. Let h(o) = -o**3 - 2*o**2 + 5*o + 4. Calculate the remainder when c(-1) is divided by h(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0407 times -0.23?\nAnswer: -0.009361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 22 - 116)*(5*k**4 + 2*k**4 - 3*k**4).\nAnswer: -696*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxftfxtxxxffot. What is prob of sequence ftt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*u = -4*h - 113*u + 53, -5*h - 3*u + 100 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18955, -19212, -19515, -19888, -20355, -20940, -21667?\n\"Answer: -4*d**3 + d**2 - 232*d - 18720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-5*sqrt(6)*-4).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*s**3 + 6*s**2 - 208*s.\nAnswer: 90*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 8. What is r(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 90. Let w(r) = r**3 - 6*r**2 + 3*r - 14. Let i be w(t). Sort 1, i, 10 in decreasing order.\nAnswer: 10, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/4000 and -7\/309000.\nAnswer: 1236000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2 - 11*t - 5. Let z be a(-3). Suppose -z = -2*v + 44. What is the highest common factor of v and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 6, w: 1, x: 6}. Give prob of picking 4 c.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = 30*t - 141 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579296 is divided by 1406?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15*v - 4. Determine b(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1, -33.7, -282 in increasing order.\nAnswer: -282, -33.7, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -26. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 9*d**2\/2 + 3*d - 1. Let t be (7 + 22)\/(1131\/117). Calculate n(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*q)*(1333 - 710 - 743 + (7 - 2 - 2)*(3 - 5 + 4)).\nAnswer: -342*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x - 10 = 0. Let -13*n**3 - 23*n**3 + 21*n**4 + n**2 + 8*n**x + 6*n = 0. Calculate n.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(9)\/sqrt(3))**2 + 5 + sqrt(9)\/sqrt(3) - (-2 + (sqrt(432) - (sqrt(432) - (sqrt(432) + -1))))).\nAnswer: -11*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 220*g - 2420.\nAnswer: -5*(g - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 294964410 * 0.2.\nAnswer: 58992882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-l + 1 - 1 + (2 + 1 - 1)*(0*l + l + 0*l) + 3*l + 4*l - 3*l + 0*l - l + 3*l) + (0 + l + 0)*(-4 + 0 + 5) to the form v*l + t and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*x - 16 = 250*x + 4*y, 4*x - 3*y - 34 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 0*u + 9260*u**3 - 9264*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxqqxxyjoqxyxxqx. What is prob of sequence xo?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 46 = 5*x + 3*t, 4*t + 12 = 0. What is the highest common factor of 165 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*o + 1, -3*o + 5 + 5 = 4*m. Suppose 4 = x + o. Suppose -5*q - 5*k + 20 = 0, 0 = -2*k - 2*k. Solve -q*w = x*u + 2, 0 = -6*u + u - 2*w - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.214 + 1238.9.\nAnswer: 1238.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33 - (2 + -6) - 4. Suppose -2*y + 2*h = -12, -4*y + 2*h + 18 = -0*h. What is the greatest common divisor of y and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83861 is divided by 482?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 1970407?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8248174 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q - 5 = 5*j, -4*j = q + 2. Let p be (-1)\/(1 - 15\/q). What is the second derivative of 0*z + 8*z - 12*z**p + 2*z**2 + 4*z wrt z?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 1. Let r(g) = 1 - 3*g + 4*g - 5*g. Let x(f) = f**3 - 18*f**2 - 17*f - 39. Let v be x(19). Let b be (v - (0 - 3))*(-8)\/16. Give b*r(z) - 2*q(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c. Suppose c = 4*r + 18 - 58. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -281? (a) -2\/3 (b) -5 (c) 1\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and 2.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1272020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 392, 636, 912, 1220, 1560, 1932?\nAnswer: 2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.4, 2, -2\/15, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1254)\/(-45) - (0 + 8 + (-1830)\/225). Solve 0 = 4*s + 3*x + 28, g = -3*s - 320*x + 316*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = -3*h + 160, -3*h = -3*d - 144. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*o + 8, -8 = 5*i + 4*o - 28. Find the second derivative of -2*l**i + 22*l**3 - 22*l**3 + 7*l wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -21*t**4\/4 + 4479*t**3\/4 + 6165*t**2\/2 - 972*t = 0.\nAnswer: -3, 0, 2\/7, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52196 divided by 6.\nAnswer: -26098\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -12. Suppose -3*a = 3*c - 9, 4*c - 3*a = u*c - 1. Suppose -27 = -5*l - 2*d, 4*l + d = -2*d + 23. Calculate the remainder when l is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:35 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 13. Let j(l) = -l**2 - 50*l - 299. Let v be j(-7). Let m(t) = t - 1. Let i(r) = -2*r - 2. What is s*i(w) + v*m(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 24*a - 723. Let t be f(20). Calculate the greatest common divisor of 44 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*v**5 + 54*v**5 + 2*v**5 + (3 - v - 3)*(4*v**4 + v**4 - 6*v**4).\nAnswer: 79*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -470, -706, -942?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 232 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, o: 12}. Give prob of picking 4 r.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -128*v + 84839. Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -63. Suppose -9*a + 340 = -4*a. What is the remainder when a is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -157 - 2 - (-1557 - -1475)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 22*w + 4*p - 260, 0 = -3*p + 15. Suppose 13*q = w + 511. What is the remainder when 255 is divided by q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2278640 is divided by 148.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 6*s + 7. What is h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 16*u + 45334 = 0. Suppose -u = -t + 427. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 20 = -190. Calculate the remainder when b is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4393*a - 13177. What is w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 - 3*t - 3. Let s(g) be the first derivative of -g - 40 - 1\/3*g**3 - 1\/2*g**2. Calculate 9*s(c) - 3*z(c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 2328 = -147*r + 550 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1) + 19 + -21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 13 = -41*a. Let y be -3 + -1 + 0 + 1. Let t be y\/(-1 + -2) - a. Let r(c) = 1. Let v(u) = -u + 10. Calculate t*v(n) - 18*r(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1198005784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/529 and -24\/31?\nAnswer: 16399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 7*y - 5. Let s be w(4). Let o = s - 8. Let g(x) = 44*x**2 + 1. Is g(o) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-34) - 1\/(-2). Let p be -62 - i - (3 - 1). What is the tens digit of 174\/8 - 16\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04536 in 2\/3, 2, -3.8, 1\/5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 2, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/7*(-3)\/(12\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(-3*(sqrt(576) + sqrt(9)) - sqrt(9)) + 0.\nAnswer: -sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2\/(-2))\/(8 + -12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 0.6269007.\nAnswer: -0.6569007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10718 is divided by 313?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 - 10.76\nAnswer: -10.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.04 + 0.04. Let v = t + 0. Let r = -1087 - -1086.5. Which is the second biggest value? (a) v (b) r (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/491 greater than or equal to -2.3383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 19*y + 993. Give b(-19).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose d - 10 = -i*d. Let g be d\/4*(10 + 0). Solve -g*n = 25 - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3003 + -135143\/45. Let n = 44\/45 + u. Let m = -4.03 - -0.03. Which is the second smallest value? (a) n (b) m (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:26 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-2 - -2) + (-1 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.027452 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33033 - 333*s**2 - 15926 - 16047 with respect to s.\nAnswer: -666*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 25. Suppose t*f - 260 = c - 5*c, 10 = 5*f. Factor 96*g - 16*g**2 - g**2 - 19*g**2 - c + 4*g**3.\nAnswer: 4*(g - 4)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -378 and 1.7.\nAnswer: -642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1689 - -1686. Let n(b) = 10*b**2 + 6*b - 5. Let y(m) = m**2 + m. Let i(s) = n(s) - 5*y(s). Let f(t) = 9*t**2 + t - 9. Calculate g*f(r) + 5*i(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 353650123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 35. Suppose -b + 37 = t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + 0.64. Let t = -6.85 - -7. Let d = -0.19 + t. What is the nearest to 1 in h, -1\/9, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 650.99261 - 651. What is h rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 32.\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*18\/24)\/((-6)\/14396). Do d and 1800 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 1 (c) -0.29 (d) 0.1 (e) -4\/5 (f) -2\/15 (g) 192\/41\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 3 + 37\/120*k**6 + 1\/24*k**4 - 11\/60*k**5 + 0*k**3 + 0*k + 21*k**2. Find the third derivative of b(m) wrt m.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77280 and 3480?\nAnswer: 2241120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7237.\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 + 20 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38925038792 take away 16?\nAnswer: -15.61074961208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*d + 811918 + 80478, 3569599 = -4*i + d. Round i to the nearest 10000.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20551 is divided by 6118?\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22345 by 4469.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -357*m**2 + 6960804*m - 350964 = 0. What is m?\nAnswer: 6\/119, 19498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:44 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 317*o**2 - 12*o + 2. Let d(m) = 633*m**2 - 31*m + 3. Determine 2*d(c) - 5*q(c).\nAnswer: -319*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 16*g + 64. Let k be t(-10). Suppose -k*b = -17*b + 156. Solve 2 = -b*z + 38 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000268537 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/16 and -121\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 320461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlhlll. Give prob of picking 2 l and 1 h.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100301580 divided by 3\nAnswer: -33433860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, n: 2}. What is prob of picking 4 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 9488*l**3 - 8439576*l**2 + 3336445712*l - 494628076804.\nAnswer: -4*(l - 593)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(1\/32))\/t*t*t**7)\/(t**(1\/7)\/t*t**(1\/12)\/t))**(1\/40) assuming t is positive.\nAnswer: t**(7219\/26880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1127 - 48*x**2 - 3*x + 11*x**2 + 17*x**2 + 18*x**2 in the form a*x + z + i*x**2 and give z.\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1967 + 1967.1109. Let t = 14855725 - 14855724.88910451. Let q = d - t. Round q to seven decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596\/1043*(-6)\/8\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52953 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2\/37)))\/w)**(-4)\/((w*w**(-3\/11))\/w**(2\/41)) assuming w is positive.\nAnswer: w**(59034\/16687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:02 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + d = 7, 9*d - 10*d - 2 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3 - 29425*u**2 + 117688*u - 117684 = 0?\nAnswer: 2, 29421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*h - 5*g + 26, 2*h - 2*g + 20 = 0. Let s = h - -17. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94303\/27 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 98, 8, -4, -1, -170, -2.\nAnswer: -170, -5, -4, -2, -1, 8, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/(-3)*(-2 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and 0.1.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 5 - ((4 - 28) + 286 + -196)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + n - n - 2*n)*(4*n - 4*n + 3*n).\nAnswer: -6*n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 33. Suppose -7 = 6*x - d. Let p be ((-26)\/234)\/(x\/6). Sort p, 0, 1 in ascending order.\nAnswer: 0, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 217, 205, 187, 163, 133?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 200 - 3?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68183 is divided by 88?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 7*w = 2*w - 266 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -105*n**3 + 2*n**2 + 3*n. What is the units digit of r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28229, -56275, -84321?\n\"Answer: -28046*f - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/60*-3*-2*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -381*p**5\/5 + 252*p + 126. What is the first derivative of j(k) wrt k?\nAnswer: -1524*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -704*h - 189*h + 289*h - 237*h to the form t + v*h and give v.\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34245 (base 11) to base 16\nAnswer: c182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 333 - 257. Does 69 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84 - 33 - -6) + -30.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 160*s + 1119. Let u be f(-7). Let l be (1 + 0)*(1 - 0). Sort l, -4, u in decreasing order.\nAnswer: l, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -303*o**2. Let z(r) = 9*r**2. Determine p(z(q)).\nAnswer: -24543*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*g**2 + c*g - 1697*c + g**2 - 231*g - 1 wrt g.\nAnswer: 4*c*g + c + 2*g - 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1614, 1575, 1510, 1419, 1302?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 269768349 and 149871305.\nAnswer: 1348841745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20389151 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1854, 7500, 16908, 30078, 47010, 67704?\n\"Answer: 1881*w**2 + 3*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146832 = 705*m - 728*m. Is m a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 1230 + 954. Suppose 38*u = 41*u - q. Let l be 8\/6 - 4*u\/(-48). Solve -x + 3*x = -l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 61*v - 7. Let g(q) = -3*q. Give g(x(d)).\nAnswer: -183*d + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*m + 6. What is the first derivative of 3*s**m + 4 - 2*s**2 - 4 + 4 wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*g - 38, 0 = 5*g - 0*o - 3*o - 34. Let w be 174\/g - (-3)\/(-4). Suppose -3*i - 91 = -6*i - j, 2*j = i - w. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 4, -493, -2, 0, -0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*s - 9301, -11*s + 8*s + 3715 = 2*m. Calculate the greatest common divisor of 76 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -4)\/((-5)\/255)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-186)\/(415\/(-50) + 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 4*t + 1. Let p(y) = -2*y**2 + 26*y. What is 2*i(h) + 3*p(h)?\nAnswer: -4*h**2 + 86*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-2)\/(-20))\/(1\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-4 - 3) + 7 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -25531?\nAnswer: 25530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -64) + (75 - 171).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 336*m**2 - 356*m**3 - 220*m**3 + 192*m**5 - 45*m**5 - 84*m**4 - 22*m - 26*m = 0?\nAnswer: -2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 9 = 0. Suppose 4*y + 12 = 4*m, 3*y + l*m = -0*y + 21. Solve -20 = -y*w + 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 439*o + 91. Is w(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qegggqgng. What is prob of sequence gqeg?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5045 - 144\/12) + -8.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959928495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2917\/6, 4, 1\/13, 3\/4, -0.1.\nAnswer: -2917\/6, -0.1, 1\/13, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4\/2 - 2874*f**3 - 1834569*f**2 - 389538234*f + 782751357\/2 = 0.\nAnswer: -639, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 40 = w. Let r be (-73)\/4 - 2\/w. What are the prime factors of 2*1\/(-2)*r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/((-36)\/(-5376)). Suppose 62*j - y = 58*j. Suppose -j*l + 54*l = -10. Solve -4*s + 13 = l*a, 0 = s + 1 + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 2*y**7\/315 - 7*y**6\/18 + 44*y**5\/5 - 72*y**4 - 384*y**3 + 2*y**2 - 28*y. Find a such that h(a) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-90)*33\/(-2). Let o = -11.3 - -10.3. Which is the closest to 0.1? (a) o (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + w = 4*a + 10, -14 = 3*a - 2*w. Let u(g) = -14*g**2 + 7*g - 2. Let s(j) = 13*j**2 - 6*j + 2. Give a*u(b) - 7*s(b).\nAnswer: -7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*u = -94*u + 11715. Is u less than 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 55 = 5*n, -4*l - 2*n = -7*l + 49. Suppose -2*p + 17*p = l. Solve 7 = -2*d - p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -l - 18, 8*l - 313*k = -314*k - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/30 and -73\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Suppose -u = -2*i + 2, 0 = -i - l*i + 5*u - 5. Solve -3*h - i*d = -6*h, 5*h + 4*d = -45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65274? (a) -4 (b) -47 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -9, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5\/7 - 109*k**4\/7 + 1157*k**3\/7 - 3887*k**2\/7 + 4744*k\/7 - 272 = 0.\nAnswer: -119, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(2430) - sqrt(30)) + sqrt(3000)*-1)\/((sqrt(486) - (sqrt(486) - ((-4*sqrt(486) - sqrt(486)) + sqrt(486)))*4) + sqrt(486))*6)**2.\nAnswer: 2000\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -77*q - 82. Is l(-10) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-69))\/((-72)\/(-24)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25\/8 of a millisecond?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1541 (base 6) to base 16.\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34257 by -1803.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 17*f - 20, 0 = c - 2*f - 135. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u - 2345 = 54*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 11. Let o(a) = 8*a - 38. Let s be o(7). Let t = -4 + s. Calculate the lowest common multiple of y and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 12:49 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16029, 63848, 143441, 254808, 397949?\n\"Answer: 15887*p**2 + 158*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/23930 or 0?\nAnswer: -1\/23930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 262567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2544 and 155\/81144?\nAnswer: 8601264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 156*m - 3181. What is the remainder when i(22) is divided by 181?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (28 + (63 - 97))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(14\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 11*u = -19. Let o = u - -2. Suppose -l - 47 = -4*y, 2*y - o = l + 4. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggxgxnngxrgrggg. Give prob of picking 1 g and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((1276\/154)\/29)\/((-13)\/(-21))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25800 and 1720?\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.4 - 5. Let m be 72\/(-612) - (-40)\/51. Let v = 0.223 + -0.223. Which is the closest to v? (a) 0 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4*q)\/(q**(-18)*q))\/((q\/(q\/(q*q\/((q\/(q*((q**(-12)*q)\/q)\/q*q))\/q)*q)))\/(q*(q\/((q*q**(-1\/16)*q*q)\/q))\/q)) assuming q is positive.\nAnswer: q**(465\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12859*a - 12688*a + 25805*a - 49*a**3.\nAnswer: -49*a**3 + 258*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 431320?\nAnswer: 431314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1080121, 2160074, 3240027, 4319980?\n\"Answer: 1079953*o + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)*(3 + -2). Let h be 248\/(-20)*(m + 6). Round h to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 0 + 0 + (-6*h + 2*h + 3*h)*(27 - 63 - 12) in the form f*h + y and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 2\/13 (c) 1.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 11*u**4\/12 + u**3\/3 - u**2\/2 - 2*u. Suppose 9 = 3*p + 3. Is 16 a factor of h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - 2. Let z = -1.15 - -0.95. Which is the nearest to z? (a) -3 (b) r (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97322176 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2101, 136 in descending order.\nAnswer: 2101, 136, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0089 (b) 5 (c) 3\/5 (d) 81.8 (e) 0 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1263 - -1264.398. Let o = b + 8.212. Let z = 8.7 - o. Round z to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 448, 3782, 9992, 19084, 31064, 45938, 63712?\n\"Answer: p**3 + 1432*p**2 - 969*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(18\/(-4))*15. Let p = -17 - z. What are the prime factors of 1*3 + 16 + p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 271097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*s - 1853306 = -243*s. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -101. Let z be 1 - (b + (-1 - 2)). Suppose 0 = -5*a - 4 - 1, -2*a + z = 4*j. Calculate the least common multiple of j and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20*1 + -21 + 19. List the prime factors of 3759\/b - (-4)\/(-24)*-1.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 6 - x - 1.\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 49*v**2 + 19*v - 684. What are the prime factors of x(56)?\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/(-12) + (-12)\/48 - -25?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*o - 21 = -42, 3*o = 3*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*4*(-5 + (-5 + -2 + sqrt(1008) - (-3*(sqrt(1008) - (-1 + sqrt(1008)) - sqrt(1008)) - sqrt(1008)))))**2.\nAnswer: 497664*sqrt(7) + 2509056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c**5 - 6*c**6 - 6*c**5 - 7*c**5 - 3*c**2 wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -3 - sqrt(128))**2 + 3 + ((-1*sqrt(126))\/sqrt(9))\/sqrt(7).\nAnswer: -sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 12*y**2 - 42*y + 1. Calculate the smallest common multiple of 30 and t(-4).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/(-5)*6\/(-4). Is 21 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9851940 and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 13*i + 36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 2*s**3 + s**3 + 2 - 2 - s**3 + (3*s**2 - s**2 + 0*s**2)*(-4*s + s + 5*s) - s**3 - s + s + 36*s - 6*s**3 - 63*s + 16*s**3.\nAnswer: 14*s**3 - 27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0837? (a) 2\/3 (b) 3 (c) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25727790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(931)*2 + 0 + 3 - (3 + sqrt(931) + sqrt(931)*-1 + 2 + sqrt(931)))*-2)**2.\nAnswer: -112*sqrt(19) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011 - -10?\nAnswer: -11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = -44*g + 63. Suppose 0 = -s - g*h + 18, -4*s - 31 = -6*s - h. Calculate the greatest common divisor of s and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4368, 6862, 7482, 6228, 3100, -1902, -8778?\n\"Answer: -937*r**2 + 5305*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880352067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9*r = 1674. Suppose 14*f - 981 = r. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3323226194 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/6 + 0 + (0 - 3). Let a(x) be the first derivative of 1\/4*x**4 + 0*x + 5\/2*x**h + 0*x**3 - 4. Find the second derivative of a(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*s - 259420 = 15*s - 65*s. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83\/((-2905)\/70))\/(2\/(-29))*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*c - 0. Let b be (c + -2)*(-1)\/1. Let s be (-304)\/(-24) + 4\/(-6). What is the highest common divisor of s and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10110?\nAnswer: 2, 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-44544\nAnswer: 13363.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2 - 11*n**3 + 12 - 3*n**2 - 12 wrt n?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6845*r - 10331. Let m(j) = 2284*j - 3450. Let q(t) = -2*h(t) + 7*m(t). Differentiate q(o) wrt o.\nAnswer: 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29645596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (2 - -1 - (-332 - -322))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 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: Rearrange (a**2 + 0 + 0 + (2 + 2*a - 2)*(-2 - 2*a + 2))*(-7946 + 3208 - 2156 - 15629) to b*a + u*a**2 + g and give u.\nAnswer: 67569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5958504 divided by 12?\nAnswer: 496542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/19)*b)\/(b*b**(-1\/46)\/b) assuming b is positive.\nAnswer: b**(801\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.3 + 4.7. Let d = 2.6 + p. Suppose 0 = 3*v + 2*t + 2, 5*v = 3*t - 7*t - 2. What is the nearest to v in d, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1179 and 19083294.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -8a07a?\nAnswer: -8a089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3885*-34262\nAnswer: -133107870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147 - 123) + (6 - 10 - 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 3690b38?\nAnswer: -3690b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51189, 51668, 52147, 52626, 53105?\nAnswer: 53584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s - 1. Let t(v) = v**3 + 6*v**2 + 5*v + 23. Let w(c) = 3*d(c) + t(c). Is w(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -62*d + 174. Let x be f(19). Let a = -394 + -1037. Let z = x - a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvcchchnnvvvviv. Give prob of picking 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 - 554*b\/9 - 556\/9.\nAnswer: 2*(b - 278)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.9773414ns?\nAnswer: 0.00000000003295569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*p - 110*p + 1323. Calculate the least common multiple of 11 and p.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 150 - 666*m**3 + 587 - 147 - 146.\nAnswer: -666*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0 + 7 - 7*v**2 - v**3 + 0*v**3 - 2*v. Suppose -6*l - 20*l = -6602 + 6758. Give b(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + (-22)\/(-6). Let m = 11 - h. Calculate the remainder when 13 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -61*b**2 - 387*b + 3. Calculate the remainder when a(-6) is divided by 1\/3*45*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -5*j**3\/6 + j**2 + 4*j - 2. Let i(t) = 5*t - 2. Calculate 7*i(m) + 6*r(m).\nAnswer: 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2\/7))\/(x*x\/x**(1\/7)))**(2\/43) assuming x is positive.\nAnswer: x**(-2\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1255378 (base 10) to base 6\nAnswer: -42523534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 - 5)*(3*b**2 + 70 - 63 + 0*b**2).\nAnswer: -42*b**2 - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**(2\/3)*q))**(2\/87))**27*((q*q**(-13)*q)\/(q\/(q*q**(-1)\/q)))**(-4\/27) assuming q is positive.\nAnswer: q**(1670\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 - 0)) + (-5 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-416 - 415 + 831 - 124*g)*(-g**2 + 1 - 1) as c*g**2 + k + m*g + f*g**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*j + 71 = -8088, -2721 = -a + 3*j. What are the prime factors of a?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 10:16 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-15)\/26*(-14 + 210\/(-75)).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/3)\/(-1 + 0). Let o = -1428 + 1443. Solve -5*t + 10 + o = z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(13\/1170*-3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350636, 350423, 350196, 349949, 349676, 349371?\nAnswer: 349028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 22. Suppose -10 = -c*i - 2*s + 28, 5*s = -5*i + 50. What is the third derivative of -2*b - 18*b**2 - b + 3*b + 5*b**i wrt b?\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 29 - (-10 - (1 + 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 828*v**3 + 317 with respect to v.\nAnswer: 2484*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.1. Let w = -99\/4 + 1871\/76. Let t = 67\/76 + w. Sort -2\/15, n, t.\nAnswer: -2\/15, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9 = -y + 16, 4*y = -3*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 12*p + 16. Let v be x(11). Let g(h) = h**3 - 3*h**2 - 7*h - 7. What is the remainder when 23*(3 + 0 + -2) is divided by g(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 8*j, -2*b - 2*j - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 2. Let k be 4 + 40\/(-3 - 1). Let m = k - -1. Let j be (111\/21 + m)\/(1\/7). Determine s(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16214 or -745853\/46?\nAnswer: -16214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 35*y**3 - 99*y + 3. Let j(k) = -38*k**3 + 100*k - 4. Let a(z) = 3*j(z) + 4*s(z). Find the second derivative of a(g) wrt g.\nAnswer: 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4839.\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.35*-9\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by -17*(-3 + ((-4)\/4)\/(-1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1081890 by -27.\nAnswer: -40070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6136)\/12)\/((-4)\/4182). Suppose z = -8*f + 142599. Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1448*k**2 - 17794*k wrt k.\nAnswer: 2896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1216096.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112156 or 112132?\nAnswer: 112132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1195)\/(-6460) - (-24)\/(-456). Let f = -727\/30600 + 7\/225. Let j = y - f. Which is the smallest value? (a) j (b) 2 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110258 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.13127 - 0.3856334.\nAnswer: -2.5169034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33464 and 24440?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2436, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by (-33)\/(-2)*(17 + 43\/(-3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 60*r**2 + 11*r**3 + 26*r**3 - 16*r**3 - 27 + 18*r.\nAnswer: 3*(2*r - 1)*(2*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1519 and 0.05 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12821 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 334413 (base 5) to base 6\nAnswer: 130522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517554660 divided by -21511.\nAnswer: -24060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9546748619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.660898 micrometers to kilometers.\nAnswer: 0.000000001660898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -3)*4 + sqrt(432) + sqrt(432) + (sqrt(432) + -2)**2 + 0 + sqrt(432).\nAnswer: 36*sqrt(3) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3217710)\/(-270) + (-12)\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:25 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 0, 7*p - 2*p - 3315 = -5*f. Let z(y) = -6*y - 671*y**2 + p*y**2 + y - 15*y**3. Let b(m) = 8*m**3 + 3*m**2 + 3*m. Calculate 5*b(i) + 3*z(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11, 0, -1, 168?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3*((-24)\/90)\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211695329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 368938*r. Let n(v) = -2*v. What is i(n(d))?\nAnswer: -737876*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 6) to base 9\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6872467?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -515, -2062, -4645, -8264?\n\"Answer: -518*c**2 + 7*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*g**3 + 1219922*f**4*g + 3*f**2*g**2 - 621339*g**3 wrt f.\nAnswer: 48*f*g**3 + 29278128*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012975 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 8*t**2 + 2*t + 35. Calculate y(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 2*z**2 + z - 1. Let a be o(-1). Let s(y) = -3*y**2 + 2*y. Determine s(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/60 + 99*s**3 - 49*s**2 - 7*s. Let z(o) = 2*o. Determine z(c(r)).\nAnswer: -2*r**2 + 1188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n - 46. Let b = -50 + 59. Let s be o(b). What is the least common multiple of 10\/(-4) - s\/16 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3 - 2*k + k - 7. Let i be g(-6). Let j = 384 - 382. Solve 0 = -3*z + 2*r - 2, -z = 4*z - j*r + i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhpp. What is prob of picking 1 p and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54442771567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9605929 months in millennia?\nAnswer: 0.000246716075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s + 2*s - 379*s**2 + 5*s + 402*s**2 - 4*s as y + p*s + a*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 7307\/65 and 113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.1 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 9.197.\nAnswer: -27.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51403789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyp when three letters picked without replacement from aaapyaappanh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 101 = 257. Suppose -o + s = 2*o. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 66 = -4*i, 0*x - 3*x + 39 = 3*i. Suppose -7*q = 2*o + 2*q - 70, -22 = -2*o + 3*q. Suppose -x*m - 291 = -o*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 0 divided by 403690?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001237535 rounded to 7 decimal places?\nAnswer: 0.0001238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*g = -908*g - 3057*g + 150*g - 102531 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35854870?\nAnswer: 2, 5, 17, 210911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*i - 32, 3 = -2*z - 2*i + 27. Suppose 12 = 7*v - 10*v. Let d = z + v. Solve 4*x + 3*a = -11, a = -d + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9568831?\nAnswer: 2741, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 14 - -1) + 11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-392)\/161) - 12\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*h**2*q**3 + 2157*c**2*h**2*q**2 - 5498*c**2*q**3 + 2*h**2*q**2 - 5*h**2 wrt q?\nAnswer: -12*c**2*h**2 - 32988*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 23022 = 4*g, 38348 = 12*p - 7*p - 3*g. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111547603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535782 is divided by 19135.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**5 - 992*o**4 + 312796*o**3 + 945272*o**2 + 631488*o = 0.\nAnswer: -429, -2, -1, 0, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.7 + -30. Let x = 0.6946 - -0.0054. Let t = x - m. Sort 1\/5, -1\/5, t.\nAnswer: t, -1\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a - 10. Let l be (-2 - (-2 + 4))\/a. Solve l*w + 0 - 2 = 0, -w - 15 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 1. Let z(y) = -6*y + 3. Let m(t) = t**2 - 2*t - 15. Let n be m(0). Let b(r) = 3*r - 1. Let i(x) = n*b(x) - 6*z(x). Determine 2*i(k) + 5*s(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*v - 66 = 0, -3*j + 6*j = 2*v + 186. Calculate the greatest common divisor of j and 1340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6387146 + -0.6?\nAnswer: 6387145.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10011000?\nAnswer: -10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 45 - 68)*(3*q - 4*q + 0*q) + (-2 + 2 + 2)*(2*q + q - 5*q) - 7*q + 3*q - 3*q as z*q + b and give z.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2252\/(-10697))\/((-20)\/(-7030)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7234.05 tonnes to micrograms.\nAnswer: 7234050000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + r - 1483 = -1779, -2*t = 5*r - 599. Calculate the greatest common factor of t and 1551.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 9*n + 9. Let a be b(-7). Let q = a - -9. Suppose 4*x + x - 5*p - 115 = 0, q*p = -3*x + 55. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**13\/(u*u**26*u*u)*u**(-13)\/(u*u*(u\/u**(2\/33))\/u) assuming u is positive.\nAnswer: u**(-1021\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-80))\/((-27)\/(-12)). Let k(b) = 16*b - 423. Let p be k(26). What is the third biggest value in p, -2\/7, j, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2. Let b(p) = -6*p - 2. Let a(o) = 17*o + 7. Let t(m) = -2*a(m) - 7*b(m). What is l(t(j))?\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.22 - -0.12. Let i = 3.02 + -0.02. What is the closest to g in i, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -211, -290, -351, -394?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 + -0.02. What is the nearest to 1\/6 in w, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**8\/50400 + l**6\/1800 + l**5\/60 - 2*l**2. Let s(x) be the third derivative of y(x). Factor s(q).\nAnswer: -2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.98 or -9042?\nAnswer: -9042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 17*f**2 - 24*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (108\/(-42))\/(3\/(-98)). Differentiate -t**2 + p - 2*t - 11*t - 5*t wrt t.\nAnswer: -2*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = -2*t - 0, -3*x - 6 = -3*t. What is the nearest to x in 0, -1, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33104 + -111?\nAnswer: 32443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 12*k - 11. Suppose -w = w - k*w. Do w and -3\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -213159*j**4 + 542919.\nAnswer: -852636*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 23*i**2 - 16*i - 146. Let p be k(24). Solve -p - 16 = -62*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/10 - i**4\/24 + i**3\/6 + 4*i**2. Is b(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -534193 and -6944508\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -161.4 (b) -30 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 6 = 13, 530*n - 92*w + 87*w - 54 = 532*n - 19 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**3 + w**2 + w. Let u be y(-1). Let c = 10 + u. What is the first derivative of c + o**2 - 1 - 2 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 247, 150, 3, -194, -441, -738?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 11489*o - 66 = -11493*o, -5*s - 6*o + 62 = -3*o for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 15 + -8 + -2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*x = -484*x + 24. Let z(k) = k**3 - 2*k**2 - 8*k - 2. Calculate z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4*4))\/(5\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00240567 to 5 decimal places.\nAnswer: -0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 4*f. Suppose 7*u + 1 = -13. Let j(o) = 2*o**2 + 6*o + 7. Let w be j(u). Determine d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 - -181 - (-19 - -149)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 11*k**2 + k + 31. Let q be b(-11). Suppose 0 = 5*l - q, 0 = -2*y + 14*l - 12*l + 1994. What are the prime factors of y?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 7 + 11. Let z(v) = v**3 - 9*v**2 - 3. Let q be z(a). Let c(u) = -u + 3. What is c(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65540 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -918 + 7?\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(605) + sqrt(605) + 1 + -5 + (sqrt(20)*-6 - (sqrt(80) + 1))) + 2.\nAnswer: -24*sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:31 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 3. Let l be 1 - (12 + (-1)\/1). Let x be o(l). What is x rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 2*k - 2*k + (2 - 4 + 1)*(0*k + 2*k - 4*k) + 0*k + k - 2*k - 2*k + 0*k + 0*k - 1 + 1 + k + 2 - 58*k + 0 + 48*k.\nAnswer: -11*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 3*u**2 + u + 5. Let z be s(-4). Suppose -4*c - p + 10 = 0, 3*c - 4*p - z = -0*c. Let k = 11.8 + -12. Put 5, k, c in decreasing order.\nAnswer: 5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - (-8 + 4))*43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 89*g + 7*g**2 - 5*g**2 - 90*g. Let b(w) = 3*w**2 - 2*w. Let s = 183 + -177. Calculate s*b(a) - 10*k(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116697\/9 - (-4*(-35)\/(-84))\/(-5).\nAnswer: 2, 3, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.017 + -2.983. Let n = -18 - -1. Let y = -11 - -11. Which is the closest to y? (a) n (b) v (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + r + 10, b + 2*r + 90 = 58 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y\/y**31)\/y)))**17*(y*y*y**(-24)\/y)**(14\/9) assuming y is positive.\nAnswer: y**(-5065\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59546 is divided by 259?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 2 + 99*p + 0 - 180*p + 94*p to the form k*p + w*p**3 + c + h*p**2 + t*p**4 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932285 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p. Let k(g) = 60*g. What is 6*k(z) + 75*u(z)?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*d**2*y**2 + 28*d**2*z**3 - d**2 + 3455*d*y**2*z**3 + 2*d*y**2*z + d*y + 1 wrt d.\nAnswer: 182*y**2 + 56*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 1.3. Let b = -26.6 - -25. Let t = p - b. What is the nearest to -4\/5 in 0.4, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 - 3*s + 4. Let d be w(-5). Let p be (-1 - 0)*(d - -1). Suppose -p*g + 76 = -g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 30*z = 26*z + 1, -z = 5*u - 1 - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3599, 29736, 100693, 238880, 466707, 806584?\nAnswer: 1280921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29313414 divided by 162?\nAnswer: 180947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47300410 is divided by 668.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1763 + -449. What are the prime factors of h?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2990 - -2991. Let s(b) = -b + 1. Suppose 0 = 5*f + 8 - 3. Let n(o) = o. Let j(k) = 13*k - 10. Let z(c) = f*j(c) + 5*n(c). Calculate q*z(t) - 10*s(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.13384 + 0.5?\nAnswer: 694.63384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7671 by -5724.\nAnswer: 2557\/1908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201225124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 287233679*m**2 - 390017142?\nAnswer: 574467358*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22140, -44277, -66414, -88551?\n\"Answer: -22137*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) - (-212)\/(-10). Let p = l - -18. What is the smallest value in 0.4, p, 0.07?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1087151 = 29*q - 415252. What are the prime factors of q?\nAnswer: 3, 7, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*x - 2, 3*x + 2520*h + 22 = 2515*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*u + 0 + 22*u + 0 to the form c*u + i and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3414 + -4240552?\nAnswer: -4233134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3737 + 3739. What is the least common multiple of (-2 + 4)*18\/4 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - 2320213?\nAnswer: -2320244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65951*z**6 - 6*z**2 + z - 28.\nAnswer: 7914120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -106, -885, -2194, -4027, -6378, -9241?\n\"Answer: t**3 - 271*t**2 + 27*t + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.3 (b) 3 (c) -0.5 (d) -763 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h + 406. Let c be l(18). Solve -1 + 11 = a - 5*u, 2*a + c = -5*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/340 and -169\/689724.\nAnswer: 3448620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 6*r)*(23 - 9 + 61).\nAnswer: 300*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1008*v. Let m(j) = -145*j. Let t(o) = -20*m(o) - 3*u(o). Let b(z) = z**2. Calculate t(b(g)).\nAnswer: -124*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 - 12*d**2. Let q be b(3). Let s(z) be the second derivative of 3*z + q + 0*z**2 + 0*z**3 + 1\/4*z**4. Let t(j) = j**2. Determine t(s(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*y - 3*y - 18, 0 = r + 5*y - 22. Suppose l - 3*m + 2 = 0, -3*m - m = -r. Suppose 2*k + 55 = l*k. What is the lowest common multiple of k and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 58*h + 18432. Which is greater: -2021\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15246 (base 9) to base 12\nAnswer: -6036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a + 9*a - 23*a - 63 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 11 = -t + 3 + 14, -2*t = u + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:46 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 13 - 301 = -4*t, -3*t + 76 = d. Calculate the common denominator of 0 - 2 - d\/(-8) and -143\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o**2 + 71*o - 135. What is s(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*d + 122*d = -q + 11, -3*q + 40 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y + 9*y - 2, y = -5*t - 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419730, 839455, 1259180?\nAnswer: 1678905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -12, -832 in increasing order.\nAnswer: -832, -12, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*a - 2, a - 5*a - 10 = -3*r. What is the common denominator of -37\/8 and (2*97\/(-52))\/(0 + r)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*t - 283 + 577 - 294.\nAnswer: -727*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*sqrt(5)*1 - -2*sqrt(20)) + 2*sqrt(5) + -4 + -3 + -2 + 0)**2.\nAnswer: -112*sqrt(5) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11998 + 12004. Solve -2804*j + 2805*j = -y for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 166889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 46, -1389, -12.\nAnswer: -1389, -12, -5, -4, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4240 and 24560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c. Let h be w(1). Suppose -2 = j + 4*q + h, -q + 16 = 2*j. Suppose 4*z + 4*o - 2 - j = 0, -5*z + 5*o = -55. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92022 and 6573?\nAnswer: 92022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 1:11 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 17625 = 4*h, f = -5*h + 12199 + 5381. Calculate the greatest common factor of 35 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.0010353563?\nAnswer: 0.4010353563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -27. Let s = 0.8 - -4.5. Let l = 5 - s. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/4 + 1573*r\/4 - 1571\/2 = 0.\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*i - 11*i + 2*i**4 - 187*i + 2*i**2 - i**3 - 73 in the form s*i**2 + k*i**4 + n + a*i + y*i**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 10*f**2 + 7 - 7 - 2*f**2 as w*f + k + v*f**2 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1193, 1185, 1187, 1205, 1245, 1313, 1415, 1557?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7234 (base 11) to base 2\nAnswer: -10010101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 400 = 0. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 70*x - 28. What are the prime factors of j(-22)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 1 + 15. Let p = 12 + d. Solve -b - b - 4 = p*f, -3*b + 2*f = -2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435 = -92*z - 92*z - 515 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398*u**2 - 99*u**6 + 147*u**2 - 11*u**4 - 26*u**6 + 11*u**4 wrt u.\nAnswer: -15000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -386100 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 675 and 47511?\nAnswer: 3563325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3258 and 127\/72.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**3 + 5*u**3 - 2*u**3)*(u + 1 - 4*u + 2*u)*(329 + 32 + 279) in the form w*u**2 + r*u**4 + p*u + y + j*u**3 and give r.\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 32*m - 30. What is the units digit of l(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 51 - 110 + 4*x + 14*x + 59. Let c(r) = r**2 - 285. What is c(f(u))?\nAnswer: 324*u**2 - 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16598, 11, -2\/27.\nAnswer: -2\/27, 4, 11, 16598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -21. Suppose 3*w - 8 = g, -3*w + 24 - 6 = -3*g. Let a = w + q. Solve 5*o - 2 = a*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 21. Let m(r) = 2*r**2 + 8*r - 1. Let t be m(4). Calculate the highest common factor of o and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 2)*(-2*r + 5*r - r - r + 4*r - 5*r + (0*r - r + 3*r)*(-1 + 1 - 2) + 3 - 3 + r + 5*r + 0*r - 3*r) in the form m*r + z and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-3)\/30*-5*670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.88518 litres in millilitres?\nAnswer: 10885.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 2 + -9 - -4 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h**3 + h - 43 + 19 + 2*h**2 - h**3 + 22. Calculate x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2223013, -2223027, -2223043, -2223061?\n\"Answer: -i**2 - 11*i - 2223001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**3 - 15*i**2 - 2*i - 7. Is f(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 878096238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 6*k**2 - 17*k + 54. Determine h(-6).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-8)*-38)\/(3\/(-6)). Let y be (-1 + 66)\/(6 - 5). Let c = s + y. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*m = -4*c + 54*m + 100, -2*m = 25*c + 3*m - 720 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 3*p + (p - 5*p + 2*p)*(-3 + 1 + 1))*(-1 - p + 1).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 752340.\nAnswer: -1\/75234","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020473374 to 7 dps.\nAnswer: 0.0002047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let n(m) = 1935 - 27*m - 1935. Determine n(u(s)).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 3 - 0) + 1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 21*l**2 + 4*l - 6. What are the prime factors of f(21)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.01. Let a = 69 + -65. Let t be (3 - (-26)\/(-9)) + 4\/(-12). Put g, t, a in decreasing order.\nAnswer: a, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 3*x + 60 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3 - 21*j**2\/2 - 36*j - 101. Factor y(h).\nAnswer: -3*(h + 3)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**2 + 4*q**2 + 3*q**2. Let v be (3\/(-2))\/((-12)\/16). Let d(r) = r - 3*r - v*r. What is o(d(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 smaller than -173\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(171)*-2 - -2*(-1*sqrt(171) - sqrt(171)))\/(((sqrt(18) - sqrt(288))*-3)\/(sqrt(2) - sqrt(96)\/sqrt(3) - sqrt(2) - sqrt(2))).\nAnswer: -10*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*m = -21, 14*y = -4*m + 5 - 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 92.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z - 10. Let x = z - -15. Solve -5*o + 3*k + 48 - 8 = 0, 0 = -x*o - 5*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (20 - 24) - (-4 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jho when three letters picked without replacement from bbjjho?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 88. What is the tens digit of (n - -41) + (0 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 11:40 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107574 - 107574 + 10*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86968 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-579)\/(-7) + (-9)\/(-7) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from twwwwtwt?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**5\/70 + 10*d**4\/21 - d**3\/21 - 20*d**2\/7 - 10*d - 8. Factor w(f).\nAnswer: 2*(f - 1)*(f + 1)*(f + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 0.1 (c) 4 (d) -0.3 (e) 1313 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -6 (d) 3.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 8 = -5*q. Let h be ((-2)\/(-6))\/(q\/90). What is the third derivative of 45 - y**2 - 7*y**h - 45 wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334 * 187\nAnswer: -62458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/270*-9 + 4342\/(-65)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -9\/8 (b) -4.4 (c) 34 (d) -0.1 (e) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1351 - (18\/6 - 3). Suppose 3*r - z = -484. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3455946984?\nAnswer: 2, 3, 7, 1721, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 872\/10 - 5\/25. Let z = 92 - t. Let k(a) = a - 9. Determine k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -91*a**3 + 2*a**2 - 2*a + 3. Let i(s) = 183*s**3 - 4*s**2 + 3*s - 5. Let f(o) = -3*i(o) - 5*t(o). Is f(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3218460, 6436750, 9655040, 12873330, 16091620, 19309910?\n\"Answer: 3218290*l + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:58 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56\/(-14)*(-3 + -161)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*i + 295*i = 12176. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 12*c**2 + c + 8. Let r be i(9). Suppose r = 2*n + 24. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s - 16. Let x be f(-7). Suppose -3*m + x + 3 = 0. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 793, 1564, 2329, 3100, 3889, 4708, 5569, 6484?\n\"Answer: 2*p**3 - 15*p**2 + 802*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*m - 109, -m - 3*d + 47 = m. Let u = 36 - m. What is the least common multiple of u and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 9. Let l be i(6). Suppose -2*w - 50 = -4*r + 3*w, -51 = -3*r - 3*w. What is the highest common divisor of r and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/33))\/(n*n**(4\/3)*n*n)*n*n**17*n**(-23) assuming n is positive.\nAnswer: n**(-277\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 18. Let d = 9.13 + -1.43. Let w = d + -8. Sort o, w, 1 in increasing order.\nAnswer: o, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 11*v + 89, -2*y + 4*v + 21 = 3 - 16 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10 + (-56)\/(-280))*-20*3\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5563 + -5568. Sort -2, -1, x, -58, 1\/2 in increasing order.\nAnswer: -58, x, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 y when three letters picked without replacement from {y: 1, i: 1, f: 1, p: 1, z: 1, r: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 38*c - 4418. Give b(50).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 5. Let l be d(-8). Let o = -5 - l. Let r = 4 + o. Solve r = s - 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 412, -5, -3\/7, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 444 - 914 - 2873*y + 469 + (-4*y + 2*y + y)*(-1 - 2 + 2) as j*y + s and give j.\nAnswer: -2872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from yylyllyllllyll.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2839*f + 2544*f - 243*f + 532*f + 328*f.\nAnswer: 6000*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21332645 (base 8) to base 7\nAnswer: 53555125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337 a factor of 688274099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -161\/2*o**2 - 119*o - 79\/2 - o**3 = 0.\nAnswer: -79, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 63784961 and 63784960 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2240326?\nAnswer: 2, 11, 101833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*t + 132*t - 647*t - 312*t to l + n*t and give n.\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzrzzrrzrr. What is prob of picking 4 z?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/591024 and 85\/1379056.\nAnswer: 4137168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/16716 and 36\/11.\nAnswer: 183876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n - 2*n + (-2 + 1 + 2)*(-3*n + n + n) + (0 + 0 - 2*n)*(2 + 2 - 2).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.2. Let r = 25717 + -25704. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 823*u + 70278.\nAnswer: -(u - 78)*(u + 901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 49*z + 2358. Let a be g(-48). Suppose 5*h = 65 - 15. Suppose -4*f = -a - h. Solve -3*k + f*k - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v**2 + v - 1. Let k(z) = 83*z**3 + 4*z**2 - 4*z + 5. What is k(s) + 4*u(s)?\nAnswer: 87*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*p**2*v**3 - 221*p**2*v**2 + p**2*y + p**2 + 5*p*v*y + v**3*y + 558*v*y wrt v?\nAnswer: 414*p**2*v - 442*p**2 + 6*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -143.23937748171.\nAnswer: 143.73937748171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 214 + 43. Let d = z - 37. What is the remainder when d is divided by (4 - 3\/1)*11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -26. Is 6 - 8 - r*15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 159 = -171 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29687301 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/11 (b) 1\/11 (c) 1\/5 (d) 2\/19 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + 2*x)*(4*x + 2*x**2 - 6*x**2 + 2*x**2).\nAnswer: -4*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 287. Let b = g - -456. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 4)*(5 - 5 + 2*d) - d + 9*d + 4*d - d + 4 - 4 - d - 3*d + 3*d + 1 + 3*d - 1)*(5 - 2 - 2)*(2*d + 0*d - d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Let x = 9 - a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25198974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v + 8. Suppose 0 = d - 4*d + k + 17, 2*d - 10 = 2*k. Let f be 24\/(-18)*9\/d. Let x be 14\/14*(2 + f). What is r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/2, 2\/9, -1\/3, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57 and -391?\nAnswer: 22287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 796338 divided by -18?\nAnswer: -44241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63, 67, 75, 87, 103, 123?\n\"Answer: 2*y**2 - 2*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89653253?\nAnswer: 1181, 75913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -0.27 (b) 1\/3 (c) -2\/9 (d) -1 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 70, -0.5, 12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = -0*f. Let w(l) = l**2 - 4 + 2*l**2 + 3*l - l**2. What is the remainder when w(3) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67353.612 plus -323?\nAnswer: 67030.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -1 - (-6 - 0). Let r(w) = h*w + w - 3*w. Let t(q) be the third derivative of -5*q**4\/24 + q**2. Give t(r(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6819258211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -23, -9, 11, 37, 69?\n\"Answer: 3*g**2 - g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/2 - 19*f. Let t(p) = 3*p**2. Determine o(t(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334465 is divided by 321?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61146611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8254912nm in kilometers?\nAnswer: 0.0000000000008254912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppllyyppluppyluullp. What is prob of sequence lly?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**4 + 32 - 31 + 2*r**4 + 2*r**4 + 81*r**2 + 166*r + 2*r**3 - 165*r as j*r**4 + g*r**3 + i + p*r + z*r**2 and give z.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = 4*y - 985, -2*y + 515 = 5*q. Suppose -5 = -5*j + y. Let g = 14 - 9. What is the highest common divisor of j and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o**2 + 2*o - 2. Let h be d(-6). Let q(i) = 20*i - 2. Let s be q(8). Let j = h - s. Calculate the greatest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33133577 to the nearest integer?\nAnswer: 5756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1717888, -3435963, -5154038, -6872113, -8590188, -10308263?\nAnswer: -12026338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 3. Let v be h(2). Let r(w) = w**2 + 1. Let u(s) = 24*s**2 - 16*s + 36. Let p(x) = v*u(x) - 20*r(x). Let p(f) = 0. What is f?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:00 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 36. Suppose -x*m + 89 = -2. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(1 + 2 + 0)*((-2 - 3 + 7)*(-2 + 8 - 3) + 1 + 0 + 1)*(-3*l - l - 4*l).\nAnswer: -192*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110665*a**5 - 2*a**3 - 70925*a?\nAnswer: 2213300*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**6)\/y*y**(1\/4)\/y)\/(y**(-2\/11)*y)**(36\/11) assuming y is positive.\nAnswer: y**(1245\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) + 3*sqrt(2736)*-6))*3*-5)**2.\nAnswer: 199454400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + -1 + (sqrt(130)\/(sqrt(10) + sqrt(10)*1) + sqrt(13))**2 - -1*(-1*(sqrt(13) + sqrt(13) + 1) + (sqrt(143)*1)\/sqrt(11)).\nAnswer: sqrt(13) + 109\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f - 738 = -61*f. Let i = 141 - f. Let h(o) = -o**3 + 7*o**2 - 5*o + 1. What is the smallest common multiple of h(5) and i?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 30 = -12*g. Let u(a) = 5*a**2 + 6*a - 3. Let x(b) = -4*b - 4 + 6*b**2 + 11*b + 1. What is g*x(j) - 7*u(j)?\nAnswer: j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0456638 and 1.1818.\nAnswer: 1.2274638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixi when three letters picked without replacement from iixxxphxxxxipxnpp?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1830, 1833, 1838, 1845, 1854?\n\"Answer: a**2 + 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*((-2*m - 2 + 2)*(-m - m + 0*m) + 2 - 2*m**2 - 2 + 3*m**2 + 0*m**2 - m**2) + (-m + 4*m - 2*m)*(m - 1 + 1) - 1 - 2*m**2 + 1.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 1\/3 (c) -4 (d) 5 (e) -3\/8 (f) 287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155035059*-5.\nAnswer: 775175295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let z(m) = -m**2 - 3*m**2 + 2*m**k. Let l(c) = -c + c - 2*c. Give z(l(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-36)*(-258)\/9. Suppose 2*o - 1 - b = 0. Let u(f) = 32*f**2 + 1. What is the remainder when u(2) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d - 232. Let z be o(29). Let t = -17 + 17. Let g(w) = -2*w + 4. Let n be g(t). Solve -4 = -n*i - z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z**3 - 5*z**2 + 13*z. Let r(o) = 10*o**3 - 2*o**2 + 6*o. Let s(d) = 2*n(d) - 5*r(d). What is the second derivative of s(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*g + 84 + 68, 0 = -u - 5*g + 20. Let h = u - 31. What is the highest common factor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5 = -2*s, -1 = 5*a - 4*s + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*s**3 + 1745 + 2*s + 192*s**3 - 1745.\nAnswer: 353*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 5332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465194.4ng to grams.\nAnswer: 0.0004651944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055 + 1 + -16 + 9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 + 5*f**2)*(288 - 288 - 56*f**2) + (3*f - 4*f + 3*f)*(f**3 + f - f).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1905*m - 1503*m - 1899*m + 1816*m to the form a + h*m and give h.\nAnswer: -3491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -15?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from qkqnyyyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 - 288 = 5*z, -3*p - 3 = -3*z for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7972 - -7972. Let z(o) be the second derivative of 0*o**2 + 1\/6*o**4 + 0*o**3 + v + 4*o. Let q(m) = -59*m**2. Calculate z(q(b)).\nAnswer: 6962*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 7*v + a = -12, -3*a + 9 = 3*v. Suppose -5*k + 2*g = -9, -13 + 3 = v*g. Let q = -0.32 - -0.02. What is the nearest to k in q, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6180000)\/7040)\/(-309) - 10\/(-11).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -12757 (c) -0.09 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29482825 - 17664393. Let v = i + -11818439.999953. Let b = v + 8. What is b rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-658)\/(-5) - (8\/5 - 2). Let b be 375\/(-55) + 7 + (-2)\/y. Let o = -6 - -10. Sort 3, o, 5, b in ascending order.\nAnswer: b, 3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631055 + -9504?\nAnswer: 1621551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*b + 22, -b - 3*b = 16. Suppose 5*o - 201 = s*o. What is the remainder when o is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/(-189)*(-54)\/36. Factor -f*b**2 + 0 - 4\/3*b.\nAnswer: -b*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -1 - (26 - 20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 1.5. Let g = 2.2 - p. Let m = 0.1 + g. Is -2 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/60 + (-22)\/6. Let n = -224 - -2462\/11. What is the nearest to j in -3\/4, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*l - 6, -36*a + 34*a + 10 = 5*l. Let k = 5429 + -1319249\/243. Which is greater: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 756191059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 7. Let m be n(5). What is the derivative of 9 - m*z + 0 - 5 wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-12) - -2 - 7\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**7\/840 - 11*v**4\/24 + v**3\/3 - 24*v**2. Let t(y) be the second derivative of f(y). Let b(p) = 13*p**2. What is b(t(u))?\nAnswer: 117*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324851*a**2*p**2*w**3 + a**2*p**2*w**2 + 12*a**2*w + 56*p**2 - 14 wrt w.\nAnswer: 1949106*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-16) + 38\/30 and (531\/54 + 1)*(-12)\/(-270).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97473006 * 5\nAnswer: 487365030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8))\/(-16 - (-6420)\/400). Let k be 153\/(-36) - 1\/(-4). Put k, y, 4, -2 in ascending order.\nAnswer: y, k, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -4\/5 (c) 5 (d) -22\/7 (e) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6270369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 9*c + 5*c - 13*c - 3*s + 143, -5*c = -3*s - 67 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5 - -3) + (5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1996 + -2?\nAnswer: -1998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2414\/3 - 798. Let b = u - 1177\/177. Is b > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2396 (base 13) to base 10.\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {j: 7, x: 2, l: 1, p: 10}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.06801 centuries in years?\nAnswer: 2406.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4254*z**2 - 605*z + 605*z.\nAnswer: 4254*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3116444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1368 and 13908.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**2 - 20*h + 3. Let j(v) = 8*v**2 + 19*v - 4. Calculate -4*g(a) - 3*j(a).\nAnswer: 4*a**2 + 23*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 19, -3, -1, -6.\nAnswer: -6, -3, -1, 19, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21335, 21363, 21397, 21437?\nAnswer: 21483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, -3, 1\/1514?\nAnswer: 1\/1514","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, -62322873 + 22008873 = -3*w + 3*z. What is w rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 4732.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5135.\nAnswer: 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -90.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 3*k**2 - 3*k + 3. Suppose 4*f + 11 = 23. Let u(x) = -6*x**2 - 2*x - 8 + 0*x**3 + 10 + 4*x**2 + x**3. Determine f*u(b) - 2*s(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 f, and 1 g when four letters picked without replacement from cqfcfcyyqyfyrfcygy.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 579433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/546 and ((-1)\/48*22)\/((-69)\/506).\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1185.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -430746 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 + 22*p = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04376499 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0*s**2 - 1\/5*s**6 + 0 + 1\/5*s**5 - 11\/3*s**3 + 0*s**4 - 53*s. What is the second derivative of m(w) wrt w?\nAnswer: -72*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -447 + -14?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 117*w**2 + 464*w - 9. Is q(113) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 3272153514.\nAnswer: 3272153519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 7*d)*(3 - 2 - 3)*(3*d**2 - 2 - 4*d + 4 - 2*d**2).\nAnswer: 14*d**3 - 56*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Which is the second smallest value? (a) 2\/9 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1368 divided by 342\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -10063, 2\/3, 6 in decreasing order.\nAnswer: 6, 2\/3, -10063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 8:18 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15*p**2 + 2*p + 17*p**2 - 4*p + 4 + p**2.\nAnswer: 33*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 6420?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:32 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three quarters of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63489027 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*s - 25. Let l be ((-24)\/10)\/((-10)\/s). Is 68 + 3 + l\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, x: 15}. What is prob of sequence nx?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-313 - 68*i + 313)*(-3*i + 6*i - 4*i) + (1 + 2 - 2)*(2*i - 3*i**2 - 2*i) in the form u*i**2 + c*i + o and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -32*r + 9. Give b(2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z + 1786 = -327*z + 87*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26943927133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 629 divide 581363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u + 2*q, -q - 10 = -2*u - 0*q. Suppose 8 = -u*r, -6 = -2*a - 4*r + 40. Let p(n) = -57*n**2 + a*n**2 + 28*n**2. Let l(j) = -5*j. Calculate l(p(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21299782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 6*h**2 + 2*h + 8. Let p = -8 + 20. Suppose p = -0*t - t. Let n be (-2 - (-10)\/4)*t. Calculate z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3\/2, -115, 75, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z**3 + 4*z**2 + 7*z + 6. Let f(p) = -7*p**3 + 3*p**2 + 6*p + 5. Calculate -6*f(o) + 5*w(o).\nAnswer: 7*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**(-1\/23)*t))\/t)*t**(-2\/19))\/(t\/(t\/(t*t\/(t*t**(5\/8))))*t**(1\/41)\/t))**(-33) assuming t is positive.\nAnswer: t**(-11597553\/143336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 486 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(21\/(-9)) + 27. What is the greatest common divisor of 45 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + -9)*4\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2716506 divided by -34827\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in -19, 2\/43, 0.4, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190851 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**4 - 21*z**2 - 26*z - 5. Let t(i) = 4*i**4 + 21*i**2 + 28*i + 6. Let g(v) = -5*h(v) - 4*t(v). Find the second derivative of g(y) wrt y.\nAnswer: 48*y**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:00 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8838 + -5236. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011000101000 + 1?\nAnswer: 1010011000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6 = 3*t - 2*d, -d = -2*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 6 = 2*m. Suppose -2*d - 9 = -m. Let y(o) = -o + 6 - o - 4. Give y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3277323 or 3277410?\nAnswer: 3277323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/5 - -8\/15. Let j(l) be the second derivative of -c*l**3 + 0 - l + 0*l**2 + 1\/6*l**4. Find the second derivative of j(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**7\/840 + l**6\/30 - l**3\/3 + l**2. Let y(d) be the first derivative of r(d). What is the third derivative of y(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*j + 16, 3*r + 0*r = -j + 11. Let 2*p**2 + 5*p**r - 3*p**2 - p**2 - 6*p**5 + 3*p**3 = 0. What is p?\nAnswer: -2\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*-1*-2*sqrt(65))\/(sqrt(500) + (-1*sqrt(500)*-3 - sqrt(500))).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85800*w**2 - 130770 wrt w?\nAnswer: 171600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 30 - 69)*(h + h - 2 - 3*h) to f*h + c and give c.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.56 + -0.6?\nAnswer: 64.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 9*m - 52894, 0 = -4*m - 7 + 31. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 19*t. Let x be h(0). Let r(k) be the first derivative of 0*k**2 - k + x*k**4 - 3\/5*k**5 + 0*k**3 + 8. Find the first derivative of r(c) wrt c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m - 15. What is the units digit of m*(9\/6 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*y - 106 = -5*y, -k + 20 = y. Suppose -4*b + 18 = 5*s, 2*b - 5*b + 8 = s. Suppose b*p - 21 + 5 = 0. What is the remainder when k is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*u + 50. Calculate the remainder when 61 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1357568*c. Let p(t) = t**2. Determine p(w(m)).\nAnswer: 1842990874624*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(sqrt(204)*1 - sqrt(204)))\/((sqrt(12) - (sqrt(108) - 1*sqrt(108)))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n - 6. Let p(b) = -4*b + 2 + 3*b - 3 + 0*b. Let r be (-7)\/(-3)*(8 + -5) - 13. Calculate r*p(v) + u(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from nwubzwzzbbznbz?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 42, -3, 14, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154345423.\nAnswer: 1319, 117017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let a be p(-2). What is the third derivative of -n**2 + 22*n**3 - 3*n**2 - 26*n**a wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -0.1 (c) 748 (d) 2 (e) -18 (f) 91\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/11 (b) 19 (c) -1 (d) -4 (e) -2\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*u**4 - 28*u**2 - 4.\nAnswer: -16*u**3 - 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -9824830?\nAnswer: -9824835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4160 and 61310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17269260 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: Expand (-1304 + 1304 + 561*u**3)*(-3*u**2 + u**2 + u**2).\nAnswer: -561*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/6 - y**3\/6 + 9*y**2 + 23*y. Does 13 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 16*z**2 + 28*z - 670. Let p be y(22). What is the highest common factor of 1368 and p?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, -r - 5*i + 1347 = -i. What is the common denominator of 4\/(-14) - 2*r\/(-756) and -75\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l + 35400 = -174*l. Which is bigger: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 6*m + 1\/3*m**2 - 28 - 7\/18*m**3 + 1\/12*m**4. Let z(w) be the first derivative of y(w). Determine u so that z(u) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 + -7 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 19*k**3 + 3*k**2 - 124*k. Let y(b) = -39*b**3 - 7*b**2 + 246*b. Let t(h) = -15*a(h) - 6*y(h). Find the second derivative of t(x) wrt x.\nAnswer: -306*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 0*y = 5*y + 25 + 29, -3*d + 4*y = -3*y - 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 8\/3*x**3 + 3*x**2 + 40*x - 1 + 1\/6*x**4. Determine t(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.159 rounded to 2 dps?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -303 and 3477.\nAnswer: -1053531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46241795651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1143905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/9*(-5)\/((-80)\/(-28))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6310 or 7323?\nAnswer: 6310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20904 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 17*m - 44. Let x be h(3). Let i = 10 + -11. Let o be (12\/63)\/i*3. Which is the second smallest value? (a) 1 (b) x (c) o (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2218767 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 119.3. Let f = g + 68. Which is the fourth biggest value? (a) 2 (b) f (c) -2\/17 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15954, 31903, 47852, 63801?\nAnswer: 79750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-362)\/(-1448)*((-242)\/(-10) - 1).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(128) + -1 + -5 + 1).\nAnswer: -10 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1889 - -1893. Solve -11*n - m*n + 15 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3905657, 7811307, 11716957, 15622607?\nAnswer: 19528257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -1, 1, 2 in descending order.\nAnswer: 102, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -3*w. Let v(o) = 0*o**2 - 3*o - 2 - w*o**2 + o**2. Suppose r + 2 = -5*x, 4*r + 5*x + 1 = -7. What is v(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -33.87. Let o = g + 1.87. Let c = -73 - -76. What is the third biggest value in -0.3, o, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -41. Solve -w*t = 2*n - 12, -3*n + 8 = 4*t - n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 1\/21, -0.1 in ascending order.\nAnswer: -0.1, 1\/21, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 39. Let x be f(-11). Suppose 3*h = -2*b - h + 130, x*h - 254 = -4*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74292.0106*-3\nAnswer: -222876.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/17152 and 51\/335?\nAnswer: 85760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = -4. Suppose -c*h + 19 + 5 = 0. Find the third derivative of -4*l**2 - h*l**6 - 4*l**3 + 3*l**6 + 4*l**3 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15606 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 5*u - 4. Let l(q) = q**2 - 9*q. Let r(v) = -v**2 + 10*v + 1. Let h(c) = -5*l(c) - 4*r(c). Let j(s) = 4*h(s) - 5*y(s). Calculate j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -1479, -4969, -11749, -22911, -39547?\nAnswer: -62749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13012112120 (base 4) in base 16?\nAnswer: -1c6598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6706804, 13413644, 20120478, 26827306, 33534128?\nAnswer: 40240944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54183450827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1910, -13969, -45918, -107453, -208270?\nAnswer: -358065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(114))\/sqrt(6))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.14 - -0.86. Let f = -36.7 + u. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*10 + 3247088\/160264.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 8*k**2 - 20*k - 78. Is 10 a factor of o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 4296*t - 2306952.\nAnswer: -2*(t - 1074)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 - 6*d**2 - 12*d - 7. Give y(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15622 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 135*i**2 - 410*i + 18480.\nAnswer: 5*(i - 24)*(i - 14)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115.3072 - 0.0928. Let f = 128 + q. Let d = -13 + f. Put -4, d, 5 in descending order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 445*c + 2 + 5 - 2 to m*c + r and give m.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11188082900 rounded to the nearest 1000000?\nAnswer: -11188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**4 + 8*u**4 + 8*u**4 + (2*u**2 + 0 + 0)*(-8*u + 0*u + u)*(-4*u + 4*u + 2*u) as g*u + o + y*u**3 + k*u**4 + m*u**2 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2074.\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/24 + 2634\/(-360) + 8. What is the nearest to -1\/4 in 16, 2\/13, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*k**4 + 22*k**4 + 15*k**4 + ((4*k**2 - 4*k**2 - 2*k**2)*(1 - 1 + 2) - 2*k**2 + 3*k**2 + k**2)*(-3*k**2 + 3*k**2 + k**2))*(-1 + 22 + 29).\nAnswer: 2800*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 7*p = 2*k + 22, 2*p + 3*k = 37. Solve -p*d = -22*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((21\/(-30))\/((-12)\/45)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 16. Is u <= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8) + 2 + 0 + (-4641)\/(-7956)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 20*h + 0 - 15*h + 1 - 2*h**2. Is p(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2584)\/68 + (-8 - -51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 2*l - 2. List the prime factors of k(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 2. Suppose 11 = -4*a + 3, 4*g - 308 = 2*a. Let r = -34 + g. Calculate the remainder when r is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -6*n + 26, 35458*r + 9 = 35461*r + 2*n + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = 5, 3*y = 5*s + 7. Find the second derivative of -66*b - y*b**5 + 16*b - 211*b - 2*b**2 wrt b.\nAnswer: -80*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 + 324 = 19*k. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/80)\/(1742\/(-2613))?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 1)*(2*t - 2 + 2) + 16*t**2 + 66*t - 66*t.\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 1) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 419\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291.973m to micrometers.\nAnswer: 291973000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = b - i - 22038, 5*b - 110230 = -5*i. Let m = b - 529267\/24. Find the common denominator of m and -41\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.16 + 2.06. Which is smaller: t or -0.09?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q - 7*q**2 + q**3 - 1\/4*q**4 + 0 - 1\/60*q**5. Suppose 10 = d + 5*u, -6 = -d - 4*u + 1. Calculate p(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -29*o. Let g be s(-3). Suppose -239 = -4*y - 4*j - g, -4*j - 172 = -5*y. 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: What is the smallest common multiple of 4318 and 254?\nAnswer: 4318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -1\/2, -12, 9\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -707, -710, -725, -758, -815, -902, -1025?\n\"Answer: -v**3 + 4*v - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -192, -1612, -5484, -13032, -25480, -44052, -69972?\n\"Answer: -204*a**3 - 2*a**2 + 14*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 484424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a factor of 1982247159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k - 117 = 89*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*s**2*x - 10*s**2 - 13*s*x - 45466*x wrt s?\nAnswer: 16*s*x - 20*s - 13*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k - 2. Let a = 0 - -1. Let n(l) = 19*l - a - 2 - 4. Let z(j) = 2*n(j) - 7*o(j). Let d(x) = -9*x. Determine 6*d(i) - 14*z(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-612)*81744\/(-34060).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62019 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -1 - (-55 + 56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50713, -101426, -152139, -202852?\nAnswer: -253565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 4\/7, -1\/58, 2, -5, -3\/374?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 17*x\/4 - 13.\nAnswer: -(x - 13)*(x - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93.4 - -66.3. Let y = b + 29.09. Let g = 2.1 - y. Round g to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = 2. Let d be l\/(1 + (-12)\/10). Suppose t = -2*q + 75, d*q - 2*t + 7*t = 185. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -3.692?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/8582 and 97\/98.\nAnswer: 60074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -703, -5, 0.1?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1701*s - 2832. What are the prime factors of p(8)?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78 - -3*2\/3. Let x = 24 + -14. Calculate the highest common factor of x and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z**2 - 25*z + 2. Let w be y(-11). Let t = w + 4330. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -1) + -1 + 73. Suppose 0 = -5*u + 173 - 33. Calculate the greatest common divisor of d and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 16) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m)*(7 - 4 - 18)*(3*m + 2*m**2 - 3*m).\nAnswer: 30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a + 120 = -34*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*i**4 + 2*i**3 - 12*i**2 + 83*i + 3143.\nAnswer: 1824*i**2 + 12*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 22159.\nAnswer: 22163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/13 + 191\/52. Which is the smallest value? (a) 4 (b) n (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqvq when four letters picked without replacement from {v: 11, q: 9}.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 79.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.1 + 18. What is the nearest to -0.1 in p, 0, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 + 462105*g + 3203*g**2 + 112*g**4 - 462105*g wrt g?\nAnswer: -180*g**2 + 2688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1603, -11, 16, -2, 4 in descending order.\nAnswer: 1603, 16, 4, -1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -71. Suppose -s = -6*w + 69. Suppose a - 10 = w. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.9 - 48. Let k = n - 1.31. Let l = 0.4099984 + k. What is l rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22989 or -90\/13?\nAnswer: -90\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 666049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -356 - -534. List the prime factors of z.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1 + sqrt(136))*-1 - sqrt(136)*-1*-2)\/(6*sqrt(16)\/sqrt(8))*3.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 510 - 227. Let f = z + -227. What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 72. Suppose 374 = y*s - 2*v, -2*s + 3*s - 187 = 4*v. Let g = s - 9. What are the prime factors of g?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29400 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20059 + 7*u**2 - 40122 + 20063.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/124)\/((34\/(-238))\/(10\/245))?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 11*j - 51. Let z be m(3). Solve z*v = 8*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -108*v + 653. Let y be i(6). What is the nearest to -1 in 3, y, 464, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1 - (-252)\/1. Let l = -132 + y. Suppose -c + 21 = -5*w + 8, -3*w + l = 5*c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:58 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2890 and 57\/2.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13346*z**2 - 6*z**3 - 13349*z**2 - 34*z**3 + 1 to g*z**3 + r*z**2 + m + c*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4106*o - 4106*o + 3*o**3 - 262)*(0 - 4 + 1) in the form t*o + q + y*o**2 + j*o**3 and give q.\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -237149\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/3, 3, -1.2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 121*o**2 - o + 1. Let z be h(-2). Let g = z - 4391\/9. Let f be 1\/4*((-5100)\/1300 - 1\/13). Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112031 (base 4) in base 13?\nAnswer: 9c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82.48 and 0.1877.\nAnswer: -82.2923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in minutes?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1531.2321 + -0.2321. Let j = -1531.0987 + r. Round j to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m + 20. Let p(j) = j + 1. Let y(i) = 5*p(i) - t(i). Let b be y(-9). Suppose k = -b*k + 8. Solve 0 = k*v + 4*n + 6, 2*n + 0*n = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2400? (a) 1.2 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -67\/7?\nAnswer: -67\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -21, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2612 and 2787657?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2451 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128421, 255985, 383549, 511113?\n\"Answer: 127564*j + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 + 1.6. Let f = -10.8 + c. Let a = -11.9979 - f. Round a to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 2337618*b**3 + 455376168039*b**2 - 1821476620836*b + 1821467270412.\nAnswer: 3*(b - 389601)**2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 22, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 252*h + 19*h**3 + 13*h**3 + 252*h to the form i + z*h**2 + d*h + u*h**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 - -558\/5. Let t = 1.4 - -13.6. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -37*y**3 - 13*y**2 - 26*y + 3. Is w(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**2 + 5*p**2 - 445*p**3 + 11*p + 14*p - 8*p**2 + 4*p wrt p?\nAnswer: -2670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1)*(16\/(-12))\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3691 (base 11) to base 4.\nAnswer: 1023103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8369*b*m**3 + 11*b*m**2*t - 5*b*m + 2*b*t + 14055*m wrt m.\nAnswer: 50214*b*m + 22*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ccc (base 13) in base 8?\nAnswer: 36022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 45*i**3 + 44*i**2. Let b be 1\/1 + -10 + 10. Let p(g) = g**3. Let a(j) = b*x(j) + 4*p(j). What is the third derivative of a(s) wrt s?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + 1190\/(-100))*5\/(-69). Sort -1, 0, b.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t + 2*f - 18, 0 = -4*t + 2*f + 12. Let p = -19 - 10. Let d = 117\/4 + p. Which is the biggest value? (a) -0.3 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7595057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -36 - 9*u**2 - 3*u - 2*u + 41. Let y be h(1). Let p be (-222)\/y - 10\/15. What is the highest common factor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.5 + 9. Let h = -12116.50076 + 12118. Let i = t - h. Round i to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1115 and 337585205.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((m + 0*m + 3*m)*(0 + 1 + 0) - 2 + 2 + m + (0 - 4 - 2)*(5*m + 0*m - 3*m))*(m**2 + 3 - 3) to t*m**2 + s*m + o + y*m**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17307019 a multiple of 2568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 7*j + 0*j + 10*j - 35 = 0, -5*x + j + 35 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11\/3))**(17\/2) assuming l is positive.\nAnswer: l**(-187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc78 (base 15) to base 14.\nAnswer: 11adb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -10*m + 22, -3*m - 5*n = 4103 - 4114 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 24*t**3 - 4*t**2 - 16*t + 16. Let j(n) = -n**3 - n + 1. Let y(c) = -20*j(c) - v(c). Find s, given that y(s) = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -187, -151, -117, -85, -55?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7195569691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 155.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + q**4)*(3315*q + 1614*q - 1194*q + 588*q).\nAnswer: 4323*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3624499 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(147) - (6*(sqrt(147) + -1) + sqrt(147)))*6*4)**2.\nAnswer: -7257600*sqrt(3) + 76723200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15422477 is divided by 1102.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:57 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 16*u**2 - 96*u - 1160. List the prime factors of k(-16).\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/90 and 71\/405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 230*p**4 - 5*p + 20. Let n(t) = -463*t**4 + 10*t - 40. Let i(a) = 5*l(a) + 2*n(a). What is the second derivative of i(w) wrt w?\nAnswer: 2688*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858013?\nAnswer: 13, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11548, 11552, 11566, 11596, 11648, 11728, 11842, 11996?\n\"Answer: x**3 - x**2 + 11548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-280))\/((-30)\/(-16))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -458*g**2 + 5081*g**5 + 664*g**2 + 54*g**2 - 1 wrt g?\nAnswer: 304860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by (-44)\/(-8)*-18*(-42)\/63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*v + 17 + 8, 3*v = 0. Calculate the remainder when 18 is divided by ((-3)\/(-1))\/(3\/j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*m = -6, -2*p - 3 - 7 = -5*m. Suppose n + o + 3*o = -19, p = 5*n + 5*o + 20. Suppose 34*x - 27*x = 21. Solve l - x + n = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let n(p) = 123496*p - 3590. Let h(w) = -54*w + 2. Let g(d) = 1795*h(d) + n(d). What is v(g(i))?\nAnswer: -705752356*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**4\/5 - 42561*h**3\/5 + 42564*h**2\/5 = 0.\nAnswer: -14188, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5390, 5391, 5392?\n\"Answer: h + 5389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 7*k**2 - 8*k - 8. Let i be o(-6). Let z = -0.0033 - 6.9967. Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let y = q + 27. Let t(o) = 6*o**2 - o - 1. Let j be t(-1). What is the greatest common divisor of j and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.006 - 36.006. Let u = o + -28. Let j = -64.27 - u. Round j to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 4 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/15)\/((-37)\/1665)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 - 27*o**2 - 514*o + 490. Determine j(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 2*j**3 + 0*j**4 + 0*j**2 + 0*j**6 + 12*j + 0 - 5\/42*j**7 + 0*j**5. Find the second derivative of a(u) wrt u.\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 + 6 - (16 + -12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 38 = -2*r, 5*y = 2*r - 3*r + 61. Let v = -7 + y. What is the third derivative of -6*d**6 + 4*d**v - d**5 - 4*d**2 - 3*d**5 wrt d?\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 2*t**2 - t + 8. Calculate n(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*o - 2*b = 142*o + 8103, -2701 = -o + 2*b. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56989.3 - -56989. Let n = -1 + 2. Put v, -2, 4\/9, n in descending order.\nAnswer: n, 4\/9, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20344 and 5055484?\nAnswer: 10110968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6608*a*d**3*t + 18*a*t - 27*d**3*t - 5697*d*t + 2*t wrt d?\nAnswer: 39648*a*d*t - 162*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108948, -435815, -980596, -1743291, -2723900?\nAnswer: -3922423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 + 3.099925. Round t to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*(-490)\/15)\/2. Let k = d + 32. Are k and -17 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 25*(3 - (-565)\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6387 is divided by 710?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 411 = 3*z, z = 5*z + 3*r - 569. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Suppose 2*f - 104 = -v + 3*v, 0 = -f - s*v + 37. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -705862.73\nAnswer: 141172.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1 times -0.1533?\nAnswer: 1.54833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 9*q**2 - 2*q - 6. Give t(3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7540952*w**4 - 25009856.\nAnswer: -30163808*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -57. Let j(r) = -r**3 - 13*r**2 + 10*r - 9. Is j(w) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -131\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 3*v**2 + 3*v**2 + (v**2 + 3*v**2 - 2*v**2)*(-176*v - 214*v - 495*v).\nAnswer: -1771*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40765938, 40765943, 40765950, 40765959?\nAnswer: 40765970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -100, 201.7?\nAnswer: 201.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4737 in 0.3, -2, 0.4, 10\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 5 = 0. Suppose w*j + 4*o - 1 = -7, 0 = -3*j - 2*o - 2. Let v(p) = -5*p**2 + 20*p**2 + 13*p**2 - j*p**2. Let y(t) = -2*t**2. Calculate y(v(i)).\nAnswer: -1352*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 56 = 36. Suppose 0 = -m - x + 3, -5*m + 45 = -x - v*x. Solve 2*d = 2 - m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:32 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 69137.4674 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -4.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -631368, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 264\/(-56) - (2 + 11\/((-462)\/72)). Sort 11, -12, q in increasing order.\nAnswer: -12, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-14 - -35)) + 17.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 22, 65, 150, 283, 470?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27505 + 27464. Let k(j) = -j**3 - j**2 + 4. Let t be k(0). Sort 5, 3, n, t in decreasing order.\nAnswer: 5, t, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/120 - 3*f**5\/20 + 7*f**4\/24 + 7*f**3\/6 - 8*f**2. Let h be t(8). Let j = 4 - 6. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -5*g**8\/336 + 29*g**4\/24 - 15*g**2. What is the second derivative of k(f) wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -7a854a?\nAnswer: -7a854b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 6*s + 245. Let p(l) = l**2 - 4*l + 246. Determine -2*a(w) + 3*p(w).\nAnswer: -w**2 + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 5 + 5)*(-294*w + 294*w + 3*w**4 + 34 + 2*w**3).\nAnswer: -12*w**5 - 8*w**4 - 136*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -17*y + 2*y. Let z(d) = -d**2 - 8*d - 10. Calculate z(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 69\/(-9)) + 2\/(-3). What is the greatest common factor of 144 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2508, -7 in descending order.\nAnswer: 2508, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from zhhjhjzqmqzzmhzzm?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 8*k**2 + 18*k + 8. Determine f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3*1580515\nAnswer: -4741545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 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 7569 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 value of 12\/((-19)\/(570\/45))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 564 - 399. Let a = -179 + 186. Suppose q = -a*q + 264. Calculate the greatest common divisor of j and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 240 - 239.91. Let i = 0.09 - g. Which is the nearest to i? (a) -1 (b) -0.5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59862?\nAnswer: 2, 3, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22333133 (base 5) to base 7\nAnswer: 1456444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32.4*-153.9.\nAnswer: -4986.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/8 (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.6. Let k = 1.9 + x. What is the closest to -4 in -1, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 28*o**2 - 47*o. Let q be l(12). Solve -40 - 8 = -q*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = 5. Let o(h) = h**2 + h + 2. Let m be o(v). Solve g = -0*g - m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(2\/(-8) + (-1593)\/(-2268))?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10 + -13 + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 2*a**2 + 2*a**2)*(-a - 3*a + 3*a)*(-2 + 4 - 3)*(-4 - 1 + 2).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**6\/30 + y**5\/4 + y**4\/6 - 139*y**3 + 3025*y + 1. Find the second derivative of h(q) wrt q.\nAnswer: 12*q**2 + 30*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 7*v + 5. Let q be h(5). Solve -4*r - 5*i - 28 = 0, -5*i + 0 - q = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -4)*(4 + -3). What is the second derivative of 6*c**3 + c - c - w*c wrt c?\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-12)\/33*1166\/3180. Let a = 49\/95 + -6\/19. Factor -a*t**2 - o - t.\nAnswer: -(t + 1)*(t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/5, 4, -2\/3, -18 in ascending order.\nAnswer: -18, -2\/3, -3\/5, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:31 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 89 = -189 - 122. Solve u + 8 = -3*y, -t*u + 42*u + 11 = -y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*i - 0*i + 14, 2*i + 25 = -5*f. Let p(j) = 5*j - 6. Let t(l) = 6*l - 7. What is i*p(h) + 4*t(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(17))**2 + sqrt(17) + (sqrt(17) + -1 - sqrt(17)) + 4 + sqrt(136)\/(sqrt(968) + -4*sqrt(968)) + 5.\nAnswer: 32*sqrt(17)\/33 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 17*u**2 + 61 - 120.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcji when four letters picked without replacement from ilcbj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 1, v: 1, y: 4, s: 9}. Give prob of sequence yy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzozzaezaea. Give prob of picking 1 o and 1 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -10. Solve -j + c*i - i = -2, -5*j + 3*i = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -301033223?\nAnswer: 301033141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 1:24 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 c, and 1 d when four letters picked without replacement from oyyocytodtyytodqdyd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 0 = -16*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 32. What is the second derivative of 0*u**2 + 9*u - 2*u**2 - 57*u**4 - z + 2*u**2 wrt u?\nAnswer: -684*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123641 * -0.5.\nAnswer: 61820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455 and 4991?\nAnswer: 324415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38151 and 10519.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 8. Let h(k) be the third derivative of -19*k**4\/12 - 4*k**3\/3 + 23*k**2. Let w be h(i). What is the greatest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*q + 4*b, 0*q + q + 5*b - 29 = 0. Is 14 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 + 13 = 2*b, 2*t = -b - 15. Let j(m) = 4*m + 5. Let s(k) = 0 + 7 - 3 + 3*k. Give t*s(a) + 4*j(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-6))\/(-1 + 6\/7). Suppose -2*m = 2, -4*w - 3*m - 14 + 3 = 0. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209700653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6352621 is divided by 302504?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 314*z + 311*z - 623*z - 38 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*x**2 + 35*x**2 - 73 + 17*x**2 + 75 to the form h + w*x + r*x**2 and give r.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1315620 = -14*r + 5*r. Let k = 54980 - r. What is k rounded to the nearest one thousand?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286743470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 4*h - h)*(53*h + 36*h - 6*h) to d + a*h + p*h**2 and give p.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.43 * 182625.\nAnswer: -78528.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:53 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2 - (2 + -2). Let b = s + 3. Find the second derivative of -3 + 0 - 3*n**2 + 3 - b*n wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 7*c**2 - 10*c - 12. What is the remainder when y(-8) is divided by 0 + (-2 - -3)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/11 + 20*n**2\/11 + 50*n\/11 = 0. Calculate n.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2415*n - 92. Let s(r) = 268*r - 10. Give -46*s(z) + 5*v(z).\nAnswer: -253*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(143)\/(sqrt(11) + (1*2*sqrt(11) - sqrt(11))) + -4 + 1 + sqrt(13) + (sqrt(117)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: sqrt(13)\/2 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33057 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1864244 or 0?\nAnswer: -1\/1864244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1886, -4136, -6122, -7844, -9302, -10496?\n\"Answer: 132*r**2 - 2646*r + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(1700)))**2.\nAnswer: -1000*sqrt(17) + 42600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*o = -449 + 11607, -5*u = -3*o - 27886. What are the prime factors of u?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from pzsubpd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 377 - 369. Let -257*r**2 - 9*r**5 + 249*r**2 + 4*r + 5*r**5 + p*r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42162, 42168, 42178, 42192, 42210, 42232?\nAnswer: 42258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32016, -63995, -95902, -127701, -159356, -190831, -222090, -253097?\nAnswer: -283816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, 5, 29, -24, 6, -100 in descending order.\nAnswer: 29, 6, 5, 3, -12, -24, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -365, -1474, -3323, -5912, -9241?\n\"Answer: -370*s**2 + s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22, -46, -70?\n\"Answer: -24*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -25374790\nAnswer: 3\/25374790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 1\/1347 (c) 26 (d) 19 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 65971853 - -9302\nAnswer: 65981155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 7. Calculate the lowest common multiple of 9 and s(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150317268 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 9*u - 13. Let k be m(7). Let p(l) = -l + 1. Let d(y) = -2. What is k*d(j) + 2*p(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y + 36 + y + 2*y - 53 - 71 to the form z + c*y and give z.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -2*i - 94, 0 = -2*m + 4. Let n be (-30)\/(-7) + 12\/i. Solve -l - k - 10 = 0, 27 = -3*l - n*k - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7125511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012110211222 (base 3) to base 11.\nAnswer: -3a7293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -46. Let k = f - -32. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 15 = -2*s + 3*s, 0 = -3*q - 3*s + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**2 + 6*o**2 - 4*o**5 + 3*o**5 - 4*o**5 - o**5 + (46*o + 8*o**2 - 46*o)*(-5*o**3 + 4*o**3 + 4*o**3).\nAnswer: 18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -3 + -2 + 2. Suppose u*w = 5*w - 10. Let z = 12 - w. What is the highest common factor of z and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007*j + 3*h = 1010*j - 27, 5*h = -25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 2*y**3 + 0*y + (-45*y**2 - 610 + 610)*(-2*y - 5*y - 7*y).\nAnswer: 628*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(1\/2). Suppose 0 = -2*l - l - 2*x + 10, -5*l = u*x - 15. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 280*i**2 - 511*i - 142979. Calculate j(-280).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 7643219936093.\nAnswer: 7643219936090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)\/(w**(2\/9)*w)*(w\/(w\/w**4))\/w*w\/(w**(-5)\/w)*(w**(-1\/3)*w)**(-16)\/((w\/w**(4\/3))\/(w\/w**6)) assuming w is positive.\nAnswer: w**(-245\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -27. Let b = r - 11. Let o be (-3 - -2)\/(3\/(-72)). Solve -4 = b*g - o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 20*n - 62. Let y be t(-6). Suppose -y*s + 142477 + 1425 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.91 * -0.2.\nAnswer: -0.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27889869 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 12*a = 5*a. Suppose h + 8*h - 18567 = a. Is 4\/10 + 0 - h\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/106)\/(-2)*((-8)\/28)\/((-920)\/(-322)).\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 898, 3526, 7902, 14026, 21898, 31518, 42886?\n\"Answer: 874*k**2 + 6*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 2 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 201. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174199 plus -77896?\nAnswer: -252095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxekkkxkkztkxzz. What is prob of sequence kzkz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -14. Suppose -2*h = w*h - 12. Suppose -h*o = o + 12. What is the smallest value in 0, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -905245, -1810508, -2715771, -3621034, -4526297?\nAnswer: -5431560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = i, -3*i + 6 = -2*l - 7. Suppose -26 - 25 = -i*o. What is the second derivative of -17 + o + 10*m**3 + 12*m wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118\/3, 5\/3, -57, 3, 0.24, 0.6 in descending order.\nAnswer: 118\/3, 3, 5\/3, 0.6, 0.24, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/(-26) - (1 + 411\/2). Let u = c + 207. Solve 3*y - 12 = -u*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04079 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 85, -4, 902, 362 in ascending order.\nAnswer: -4, -3, 1, 85, 362, 902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -23*v - 163. Let p(q) = -8*q - 56. Let u(i) = 4*c(i) - 11*p(i). Give u(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22400608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 37 - 26 - q.\nAnswer: -q - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -375\/3857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 3)*(-4)\/(-48)*-3. Suppose -4 = -4*v, 5*c - g = 4*c + 4*v. Are c and 12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5175*k**2 + 26 + 4269*k**2 - 9434*k**2 - 26.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 3134*d + 1754922. Calculate w(730).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*j, 0 = -0*v + 3*v + 3*j. Let k = -1 - v. Let q = 4 - k. Solve 5*u - q*f + 35 = 0, u = 3*u - 5*f + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 509 - 507. Solve 587*h**2 - 8*h**4 + 20*h - 285*h**f - 278*h**2 - 36*h**3 = 0.\nAnswer: -5, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -798*d**3 + d - 33061 with respect to d.\nAnswer: -2394*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518\/9 - 172\/3. Which is the third biggest value? (a) 0.3 (b) 0.2 (c) -29 (d) t (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 * -100\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 11*t + 6*t - 39 = 0, 5*u + 1 = 3*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q - 2*q)*(2*q - 2*q - 2*q) + (-6 + 2 + 2)*(8 - 6*q**2 - 8) - 2*q**2 + 2*q**2 - q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + 0*o**2 + 2*o**2)*(-78 + 153 - 117) to the form i + k*o + d*o**2 and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 10. Let w be g(-7). Suppose 2 = w*f + 14, -3*x - 5*f + 55799985 = 0. Suppose 0 = -i - i - x. What is i rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, u: 4, s: 1}. Give prob of sequence ub.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 15*c**2 - 25*c + 160. Determine l(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 7\/(21\/24)*24\/16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-254)\/(-32) + (-150)\/(-2400)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.015 (b) -0.3 (c) 0.5679 (d) 1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -s - 243, -4*w - 2*s = -466. Suppose -8*u = -w - 41. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 1*2*108\/24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14039 + -13232. Calculate the highest common divisor of c and 1076.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244*f**3 + 1 + 2*f**2 - 2*f**2 + 2 - 88*f**3 to w*f**3 + a*f**2 + d + x*f and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 9784 - 30232. Let k = -852 - w. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*l + 62, 28*l + 5*p = 197 + 98 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*s**3 + 20*s**3 + 14*s**3 - 51*s**3 - 3*s + 13*s**3 as k*s**3 + d + r*s**2 + m*s and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 6*l**2 - 4*l - 3. Suppose -p + 2*o - 19 = -2*p, 0 = 3*p - o - 57. Suppose 0*q + u + 52 = 2*q, -3*u = q - p. Let w = q + -20. What is t(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98555571683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f - 90*f**2 + 50*f**2 + 10*f + 2477*f**6 - 322*f**2 wrt f.\nAnswer: 297240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*s**2 - 3\/7*s**4 + 4\/7 + 8\/7*s - 8\/7*s**3 = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**5 - 460*v**4 - 15516*v**3 - 185956*v**2 - 560032*v - 389136 = 0.\nAnswer: -67, -22, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3306\/42 + (-3)\/42*-4. Let x = 190 + y. What are the prime factors of x?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*c**3*d*l + 2*c**3*l**4 - c**3*l - 28*c**3 + 3*c**2*d wrt l.\nAnswer: 46*c**3*d + 8*c**3*l**3 - c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - 29*j**2 - 128.\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*k**2 - 175*k**2 + 348*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 15*d - 6. Determine p(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {s: 1, a: 4, w: 4, r: 1, f: 3}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 634\/10 - 0 - ((-1275)\/(-5100) + 74\/(-40))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3943 = -149*k - 1729*k - 35495 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84 - 4514?\nAnswer: -4598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 4. Let g(x) = 5*x + 4. Let k be (-115)\/25 + 9\/15. Let q(b) = k*d(b) + 3*g(b). Let i be q(-13). Put -1, -5, i in descending order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4992\/66)\/2 + 4\/22. Let z(g) = 3*g**2 + 7*g - 1. Let s be z(5). Suppose 3*o + 2*t - s = 0, -t = -0*o - o + m. Is o 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 988911 and 693.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l - 10. Which is smaller: l or -4.8?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 5.5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 3, 11, 157 in increasing order.\nAnswer: -62, 3, 11, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(22\/(-8)). Let v = -10 - -5.2. Let x = v - -5.1. Sort r, 1, x in decreasing order.\nAnswer: 1, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20051\/1665 - 402\/37. Let v = -7\/9 + z. Which is the third smallest value? (a) v (b) 1\/6 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 38 + 10 = 0. Let i(z) = -z + 14. Let o be i(d). Is -3 + 54 + o + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -6*1*sqrt(76))\/(sqrt(8)\/sqrt(4)*-3))\/(sqrt(18)*-1*4*2).\nAnswer: 7*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5018 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 19. What is the highest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -368*q. Let x be p(-2). Let s(k) = -18*k**2 + 87*k - 7. Let f be s(-3). Let y = f + x. Is y a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3101639*o + 3101639*o + 49*o**3 - 6*o**3.\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3772 and 1932.\nAnswer: 79212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5988*h**2 - 39689*h**2 - 49*h - 16058*h**2 - 137677*h**2.\nAnswer: -199412*h**2 - 49*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11.098928 + -0.4\nAnswer: -11.498928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12758 = 1223*v + 10479 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4819700, -4819702, -4819704?\nAnswer: -4819706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:01 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 547, 543, 537, 529?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2. Let m be ((-6)\/(-4)*-4)\/(38\/57). Let h be 3\/6 + (m\/(-2) - 3). Let w(d) = -1449 + 1449 - h*d. Determine w(p(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1709999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:01 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7826 - -7825. Put h, -4\/9, -0.09 in increasing order.\nAnswer: h, -4\/9, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2147 - 2140. Let s = -55 - -104. What is the highest common divisor of s and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1670395.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141010444 (base 5) in base 3?\nAnswer: 1100112222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v + 861 = 9*v + 902 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12869*z**2 + 16967*z**2 - 4192*z**2.\nAnswer: -94*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 36. Calculate the smallest common multiple of 2 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 151, 352, 637, 1006, 1459?\nAnswer: 1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1980)\/(-100))\/(30\/(100\/10))?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*s + 21 = 0, 32 = 3*r + 4*s - 5*s. Let p be (-2)\/28*r - 1\/(-7). Which is the second biggest value? (a) -0.2 (b) -26 (c) p (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frorfrffrroreo. What is prob of sequence oe?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4000 + 209185\nAnswer: 205185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 9. Let x be i(12). Let o be x\/(-1) + 2 - 39. What is the remainder when 8*(-2)\/(o\/15) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853366915 to the power of 1\/2, to the nearest integer?\nAnswer: 43051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -353 and -1.428469?\nAnswer: 351.571531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v + (0 - 3 + 1)*(-v + 0*v + 3*v) + 4*v - 4*v - 2*v)*(-7*v + 0*v - 19 + 8*v).\nAnswer: -8*v**2 + 152*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22159741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 12*f**2 - 20*f + 23. Let l be i(-10). Suppose -l + 7 = -4*h. Solve -4*d - 4*n + 20 = 0, 3*n - 4 = h*d - n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 26*n**2 + 95*n - 32. Let l be v(-8). Is 1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + ((1 + -2*sqrt(68) + sqrt(68) - (sqrt(68) + sqrt(68) + -1)*1)*-4*2)**2.\nAnswer: -1536*sqrt(17) + 39425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u + 9. Let x(r) = r + 1. What is n(c) - 9*x(c)?\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/2462?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-5)\/(-2)))\/(218\/327)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 31*w + 12. Let k(l) = -l**2 + l + 2. Let r(o) = -3*k(o) - m(o). Calculate the remainder when 18 is divided by r(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**3*q**2*y**2 + 165*p**3*q*y**3 - 2*p**3*q*y**2 + 5955*p**3*q*y - 2*p**2*q**2*y**2 + 16*q**2*y**3 wrt y?\nAnswer: 990*p**3*q + 96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*1462.899\nAnswer: -1901.7687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -722, -724, -736, -764, -814?\n\"Answer: -t**3 + t**2 + 2*t - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Let a(d) = 2*d + 13. Let w(c) = -1. Let u(g) = 2*a(g) - 10*w(g). Let r be u(-14). Let v = 27 + r. Let n(l) = 6*l. Calculate v*m(j) - 2*n(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10045\/6 in -4, 2, -0.1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let z be n(-2). Suppose 0 = 5*k - 2 - 8. Find the first derivative of -2 + 1 + z*g**k + 0 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -76, -117, -158, -199, -240?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*a**3*u**3 - 5*a**3*u**2 + a**2*u**3 + 2595*a wrt a?\nAnswer: 540*u**3 - 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h*(((h\/((h*h**5*h)\/h*h)*h)\/h)\/h*h)\/h))\/(h**(1\/11)\/h)*(h*h**0)**(-4\/15) assuming h is positive.\nAnswer: h**(931\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 531*m + 248. What are the prime factors of b(5)?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113320386 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -347 + 1732\/5. Put v, 0, -0.1, 0.02 in descending order.\nAnswer: 0.02, 0, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 9:22 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 12:13 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109704334 rounded to five decimal places?\nAnswer: 0.1097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/3 + 4*l**2 + 5*l + 8. Let v be c(8). Suppose -v*d + 65 = 5*j, -2*j + 7 + 18 = d. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/112 and 23\/204560.\nAnswer: 1431920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-240))\/(-3 - 74\/(-30))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 63?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1698601973\/1237624710 - -10\/1793659. Let y = -118133\/69 + 1712. Let h = y - g. Find the common denominator of 19\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 125. Let d = 54.1 - v. Let x = 0.1 + 0.3. What is the second smallest value in -3, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than -5080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 17. Let s(g) = g - 6. Let a(m) = 17*s(m) - 6*y(m). Let b = -49 - -54. Suppose 0*u - b*u = 30. Let p(n) = 6*n. Determine u*p(r) - 5*a(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(16\/7)\/o*o)\/(o\/(o*o**(-1\/5)))*((o*o**(2\/7))\/o)\/o**13)**20 assuming o is positive.\nAnswer: o**(-1348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23132.\nAnswer: 2, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -289 + 1\/4*a**3 + 153\/4*a + 15\/2*a**2 = 0?\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*t. Let i = t - 0. Let c(g) = -g**2 + 10*g + 3. Let f be c(10). Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.720375 decades?\nAnswer: 326.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12266 or -5823?\nAnswer: -12266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 6*t - 6. Let i(o) = o**2 - 5*o - 5. Let d(n) = -3*i(n) + 2*k(n). Let z be d(-3). Suppose 4*y**2 - y**3 + 4*y**z - 5*y**2 = 0. What is y?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 10656.\nAnswer: 74592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.4 (b) -1 (c) -65\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/13 (b) -10089 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, 66198, -3?\nAnswer: 66198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 141*g - 428. Let y be b(-3). Put y, -27, -1, -8 in descending order.\nAnswer: y, -1, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1.6966\nAnswer: 3.3932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698.72 rounded to 0 dps?\nAnswer: -1699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36 and 4\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13514.\nAnswer: 2, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 36 - 15580*z + 74.\nAnswer: -15580*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v**3 - 7*v**2 - 11*v. Let j be (4 - 2)*36\/(-8). Let h(k) = -3*k**3 - 3*k**2 - 5*k. Calculate j*h(r) + 4*o(r).\nAnswer: -r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29839 + 29839. Sort 5, -1, -5, 2377, x in decreasing order.\nAnswer: 2377, 5, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 897*j + 900*j + 20 + 898*j - 2694*j. Give w(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -278.29 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ininiyniyyxii?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*b = -19, -7*w + 9*w + 3*b = -4. Does -51\/8 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*s - 5*m = 483*s, -11*m = -3*s - 42 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*p + 235, 3*p - 4*p + 5*y - 51 = 0. Let w = -17 - p. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bca7 (base 16) to base 8.\nAnswer: 136247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 3082*x\/7 - 2652.\nAnswer: 2*(x - 1547)*(x + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0 (b) 2 (c) 0.3 (d) -2 (e) -106\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697750393 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-16)\/(-20))*(-6)\/(-354). Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.71 - 0.09. Let p = m + 1.8. Sort -1, p, 0.\nAnswer: p, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*y + 160, 1 = d + y - 39. Let l be 18\/(-27) - d\/(-66). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222539*l**5 + 7*l**4 - 13956*l - 98?\nAnswer: 4450780*l**3 + 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 15. Suppose -4*w + 0*w + 3*d = -y, -40 = -3*w - 2*d. Let j be 110\/4 + (-5)\/w. What is the greatest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - 3 - (67 + -42) - (0 - 16)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 226445 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5624.15 kilograms to milligrams.\nAnswer: 5624150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1638 * 0.11\nAnswer: -180.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let y be -6*(1\/(-1) + h). Let v = 8 + -4. Calculate the highest common divisor of v and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096612 to the power of 1\/2, to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420 = -103*w + 46*w - 14*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 71043200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -769.77 - -770. Let y = 0.0494 - -2.7206. Let o = d + y. What is the nearest to 2\/5 in 0.3, 1, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 13*h**2 + 14*h - 18. Determine v(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 1240?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/273*54\/(-6))\/(57\/(-266)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q - p = -47*q - 1, -14*q - 46 = 4*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2658 or 2545?\nAnswer: 2545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 18*l**2 + 411*l - 44. Calculate k(-23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -44207\nAnswer: -176828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*k = -34 + 83, 0 = c + 4*k - 47. Suppose -132 = -o - a, 3*o - 2*a - 362 = c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 412365460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4615.41789 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 291.2 - 292. Let o be 200\/455 + (-4)\/14. What is the closest to 0.1 in o, t, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(1\/(-6)*15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 2, p: 2, i: 1}. Give prob of picking 1 k, 1 h, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2, -3\/2, 5, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/59 in 3\/2, 0.1, -3, 1.29, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4 + 109*j**3 - 7*j**2 - 2*j.\nAnswer: 72*j + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/1425903 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -114. Calculate the remainder when 228 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*o = -3106 + 47552, -2*j = o - 22224. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f - 6*b + 369 = 0, -1821*f + 1825*f = -2*b + 30 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 5. Let m(i) = 3*i**3 + 2*i**2 + 2*i. Let b(c) = -3*c**3 - 3*c**2 - 3*c - 1. Let k(u) = o*m(u) - 2*b(u). Find the first derivative of k(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 165461183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2993234409.\nAnswer: 3, 11, 173, 174767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2 (b) -2180 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/(-14) + 140\/245. Let l(t) = -173*t**3 + t**2 - t. Let q be l(b). Calculate the greatest common factor of q and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -34. Let a(l) = -l**3 + 7*l**2 - 12*l + 12. Let f(m) = m**2 + 21*m + 5. Let u be f(-21). What is the lowest common multiple of s and a(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(18\/3))\/((-102)\/(-4)). What is the closest to 0.3 in 2, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4860*i**3*p**2 - 704*i**3*p - 11*i**3 - i**2*p**2 + 1588*i**2*p - 22*i**2 + 2025*i*p wrt i?\nAnswer: 29160*p**2 - 4224*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 37*j**2 + 4. Let r(n) = -733*n. Determine b(r(o)).\nAnswer: 19879693*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1 = 6. Let l(q) = -8*q + 1. Calculate l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfj when three letters picked without replacement from djjddjjdfdjdddjddjj?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (110\/(-18))\/(-11). What is the biggest value in -6, 12, 2, i?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1367786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -18*f + 23*f + 125 - 25, 65*y - f - 2737 = 209*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23*a**2 + 15*a + 132. What is the hundreds digit of w(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102594848*n**3 - 34820642*n**2 - 2 wrt n?\nAnswer: 615569088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*59.4.\nAnswer: -712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10*(-610)\/(-1098). Let c(s) be the second derivative of -1\/90*s**5 + 0*s**4 - 27*s + 0 + g*s**3 + 2\/9*s**2. Factor c(j).\nAnswer: -2*(j - 2)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -129. Let i(s) = -s**2 + 9*s + 7. What is the remainder when 12 is divided by i(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 249*l - 526. Determine i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 128\/(-96) + (-1002)\/(-9). What is the highest common factor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11827\/60 + -986\/5. What is the fourth biggest value in 19, 5\/2, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m**6 + 0*m**3 + 73\/105*m**7 - 53\/12*m**4 + 0*m - 87*m**2 + 0 + 0*m**5. What is the second derivative of b(d) wrt d?\nAnswer: 1752*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*w - 5338 = -5342, -w = 3*i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -235, -91, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 284047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.042398964 + -0.0424. What is p rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -1, 14, 47, 104, 191?\n\"Answer: y**3 - 4*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**6 + 15*r**3 + 19*r**2 - 2*r.\nAnswer: -120*r**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 44 + 44 = 0. Let d be (-2 + 0)\/(1\/i). Calculate the highest common factor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*g - 28, -3*g + 8 = -w - 6*g. Solve b - 17 = -4*q + 2*b, w*q - 4*b = 32 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34580853959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*d - 282 - 331 = 0, -5*q - 3*d = -3043. Does 38 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2559977*u**4 + 3858955*u**2 wrt u.\nAnswer: 61439448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 3. Let i be u(7). Suppose 3*c + 4 = s, 0*c + c = 0. Suppose -s = 2*v - i*v. Solve o + 1 - 6 = -4*y, -o = y - v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**3\/3 + 9*z**2\/2 + 11*z + 1. Let o be (-2625)\/315*(-9)\/(-15). Let l(p) = p**2 + 13*p + 16. Calculate o*l(s) + 7*m(s).\nAnswer: 2*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, k: 6}. What is prob of sequence jkk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 685469 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -32947 greater than -37289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3080*f + 30778. Determine t(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-16))\/(4608\/159744)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110001 + -2122001222?\nAnswer: -2121121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 7. Let n(o) = o - 2. Let p be n(7). What are the prime factors of k(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230142136 (base 7) to base 6.\nAnswer: -1220353404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - 12 + 2 + 7 + 2*h**3 + 2*h**3.\nAnswer: 8*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17892 - 0.163\nAnswer: -17892.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 580026, 1160261, 1740494, 2320725, 2900954, 3481181?\n\"Answer: -s**2 + 580238*s - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 1334 + 714. Let g = -346 + r. Suppose -4*l = -6*l + g. Is l a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.864 + -0.764. What is the smallest value in -1, 0.4, s, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 + 6*a**4 + 0*a**4 + (-4 + 4 + 3)*(-2*a**3 + 0 + 0)*(3*a + 2*a + a) to t*a**4 + i + r*a + g*a**3 + x*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**6)**(-3)*(c\/c**2)**(12\/5) assuming c is positive.\nAnswer: c**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188528160?\nAnswer: 2, 3, 5, 392767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -19 + 10 - 7*d + 2*d**2 + 8 + 8. Let i(q) = q**2 - 4*q + 4. Calculate -7*i(t) + 4*o(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -669 - -672. Which is smaller: 97 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11037532 and 4664.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.3 + -7. Let f be (-8)\/(-30)*1035\/30*5. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/5 + 13438*l**2\/5 + 22376368*l\/5 - 660264808\/5 = 0 for l.\nAnswer: -3374, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*h**3 - 634*h**3 + 3925*h**3.\nAnswer: 3106*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -811944 (base 11) to base 8.\nAnswer: -4765655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58520 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6*t)\/(t*t*t**(-41)*t*t))\/(t**(3\/34)\/t*t**(-45)) assuming t is positive.\nAnswer: t**(3057\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/7 + 4*z**4 - 54*z**3\/7 - 268*z**2\/7 + 8*z + 240\/7 = 0.\nAnswer: -2, -1, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -87*w + 219. Calculate v(-7).\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*c - 29 + 20*c - 30 - 3*c**3 + 13*c to the form z*c + v + x*c**2 + w*c**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2*(-971)\/9. Let q be 215\/(-3)*(1 - -2). Let r = q - p. Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 530 - 526. Which is bigger: 12 or h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 349, 354, 359?\n\"Answer: 5*m + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (154\/55)\/((26\/(-325))\/((-1)\/5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 27. Let m = 15.999972 + s. Round m to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4 - -1 - -2). Suppose -a = 4*a + 3*g - j, -4*a - 2*g = -4. Suppose a = 3*t - 9, d = -4*t + 2*t + 183. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (41\/2)\/(2\/12). Let k(o) = -o**3 - 9*o**2 - 15*o - 3. Let b be k(-7). Suppose m = b*x + 19. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*v**4 - 4*v - 209 wrt v.\nAnswer: 168*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*a, 9 = p + a + 11. Suppose -3 + 1 = -j. Sort 5, j, p in increasing order.\nAnswer: p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w - 8. Let z(l) = l - 1. Let g(r) = -j(r) + 2*z(r). Let q(m) = 1. Let b(o) = g(o) - 6*q(o). Let p(a) = -2*a. Give b(p(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o + 70 - 685 + 93 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**4*o**3 + d**4 - d**3 - 118*d**2*o**3 + d**2*o**2 wrt d?\nAnswer: 264*d*o**3 + 24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1566\/(-348)*1\/(-3)*4. What is the highest common divisor of q and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 71*o + 505. Let u be n(63). Sort 0, -4, u, 2, 2122 in ascending order.\nAnswer: -4, 0, u, 2, 2122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + 189*z - 996. What is n(57)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/38)*x**(-18)*(x**(-1\/44)*x)\/x**(-5\/3) assuming x is positive.\nAnswer: x**(-38447\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14641 - 14580.21. Let y = -62 + z. Let d = 1.108 + y. Round d to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/((-1307)\/(-13070)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/21)\/(27\/18)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*a - 11113 = -482*a + 9432 + 1883 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 14*r**2 + 14*r + 8. Suppose -160*l = -116*l + 572. What is y(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.138 - -0.062. Let r = -0.05 + 0.08. Let z = -2.03 + r. Put z, -3, o in descending order.\nAnswer: o, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*p + 9 + 5 = -0, -273*d + 288*d - 5*p = 210 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a = -125*a + 56*a + 230 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -197, -444, -789?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(1\/16)*o))**(8\/11)\/(o**(-4)*o\/(o*o*((o*o**(20\/7))\/o)\/o)*o))**(-4\/7) assuming o is positive.\nAnswer: o**(-1790\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 1)*(3*q - 3*q - q) - 24 - 43*q + 6*q + 26*q)*(-5 + 3 - 1).\nAnswer: 30*q + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44054 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61479 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 - 39418*i\/5 - 39417\/5.\nAnswer: -(i + 1)*(i + 39417)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2555238?\nAnswer: -5\/2555238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 8 + 4. Let w(z) = -z + 4. Let t be w(a). Suppose 0 = -2*r - t*r + 30. Solve 1 = -3*p - y, -5*p + 3*y = -2*y + r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.173166 to one dp.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*u + 37*u + 95 - 16*u + u - 2*u + 3*u + (-u - 3*u + 5*u)*(-1 + 1 + 1) + 2*u + 6 - 6.\nAnswer: -9*u + 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 14*i**3\/3 - i**2 - i + 11. Give q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -7*m + 182. Suppose 3*t - m = -5*i - 8, t - 12 = -3*i. Factor -5*p**3 - 3*p - 15*p**2 - i + 11*p - 23*p.\nAnswer: -5*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 8*s**3\/13 - 1294*s**2\/13 + 2246*s\/13 - 960\/13 = 0.\nAnswer: 3\/4, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:38 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 + 7*f - 2. Let r be d(-4). Which is the closest to -2? (a) -4 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -49758*m - 6020719. What is g(-121)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 + 46*u + 6. Let h(y) = 8*y**3 - 137*y - 17. What is -6*h(m) - 17*l(m)?\nAnswer: 3*m**3 + 40*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17932, -18062, -18192?\n\"Answer: -130*m - 17802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7009 + 11697. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22172725 or 22172727?\nAnswer: 22172725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438839055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*d**3 - 16*d**2 + 24090*d wrt d?\nAnswer: -582*d - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 + -200. Suppose 987 = -g*t - 357. Put -4, t, 1 in increasing order.\nAnswer: t, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 7, j: 2, d: 4}. What is prob of picking 1 d and 1 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + ((-300)\/168 - (-2)\/7). Let c = 4 + -4. Suppose y = -j + 3*j - 4, -2*y = c. Sort j, l, 1.\nAnswer: l, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2.9. Let a(l) = -11*l + 16. Let b be a(2). Let c be -3 + ((-60)\/b - 3). What is the closest to -1 in 3\/8, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-3)*2048\/19968?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -21. Let t(r) = r + 11. Let z be t(m). Suppose 0 = -3*f + 4*c + 87, 2*f - z*c + 35 = 4*f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/3 - 364*y**3\/15 - 1296*y**2\/5 - 5341*y. Factor p(f).\nAnswer: -4*(f + 4)*(5*f + 162)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 407\/6. Which is the third biggest value? (a) 0.3 (b) g (c) -0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12)*(-6)\/4. Put z, 2, 5 in descending order.\nAnswer: 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = 2*q - 4*q, -5*b - 5*q = -35. Suppose 0 = -5*x + 2*x + 4*m + 16, -3*m - 12 = -4*x. Factor 0*w + 1\/4*w**b - 1\/4*w**2 + x + 0*w**3.\nAnswer: w**2*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -6*f + n - 8, -2*n + 6 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -0.3 (c) 1 (d) 0.5 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 191*b**2 - 102*b**2 + 22.\nAnswer: -293*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 311 - 725*z**2.\nAnswer: -725*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228487, -228492, -228499, -228508?\nAnswer: -228519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.1262990754 - 30.\nAnswer: -16.8737009246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.08 - -9.0798422. What is a rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 39, 3, -1 in descending order.\nAnswer: 39, 3, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1413 rounded to three dps?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 34. Let h(k) = -21*k - 541. Let f be h(-25). Give r(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least as big as 36201\/3517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 - (-8)\/7). Let h be 30648\/192 + (-4)\/((-64)\/6). Let z = h - 1762\/11. Sort z, -5, w in descending order.\nAnswer: w, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 + -128. Suppose 22 = 7*g - 4*g + 2*k, u*g - 38 = 2*k. Let w be -3*3\/(-9) - -2. Solve w*y = 2*s - 5, 5*y + 5 = -g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.95 - -0.05. Let z = 7 - d. Let y = 4.6 - z. What is the closest to 1 in -2, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*u + 63, 0 = 3*o - 15*o + 15*o + 11*u + 18 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9513998 and 54?\nAnswer: 256877946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/7 in 1\/52, -10\/3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4512 and 5922?\nAnswer: 94752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 140*m + 1759. Calculate y(-28).\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**2 - 9*k + 44. Determine o(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v + 19. Let w(q) = -q - 1. Let j(r) = -p(r) - 3*w(r). Let u(b) = -2*b. Calculate u(j(z)).\nAnswer: 14*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, -2, -3, 1\/3, -0.0757?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)*(1 - -1). Let g = n - -8. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24580 or -147475\/6?\nAnswer: -24580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 13*k**2 + 13. Let h(i) = -3*i**3 - 29*i**2 + 29. Let z(l) = l**3 + 10*l**2 - 10. Let s(r) = 4*h(r) + 11*z(r). Determine 6*m(y) - 13*s(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnoinnozhnnh. What is prob of sequence hn?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -903 + 9852*b**3 - 39492*b**3 + 9853*b**3 + 9915*b**3 + 903 + 9863*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 12) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**5 + 32*d**4 + 96*d**3 - 128*d**2 - 320*d = 0.\nAnswer: -2, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xttxxxttttxxtxtxxtt. Give prob of picking 3 x.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113527 - -170620. Let q(f) = 30024*f + 3. Let z be q(-4). Let c = z + k. What is c rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/2 + 9*c**2\/2 - 16. Find the second derivative of z(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*t**2 - 15*t + 15*t - 274*t**2 - 2 in the form x + a*t**2 + s*t and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 159*a**3 + 4*a - 161*a**3 + 2*a**2 - 3 as d*a**3 + k + p*a**2 + m*a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijb when three letters picked without replacement from {b: 1, i: 6, j: 12}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 13*p**5\/60 - 5*p**4\/24 + 31*p**3\/3 + 184*p**2. What is the second derivative of b(l) wrt l?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - -8) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1438.1 - -1338. Let v = n - -100. Which is the closest to v? (a) -21 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 - (-5 + 2)) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662311*p**2 + 1324629*p**2 - 2 - 662299*p**2.\nAnswer: 19*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.2 (c) -2\/9 (d) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/4 of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:19 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1891*-0.1\nAnswer: 189.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 8*r + 1. Let x be c(8). Let v be -1*(1 + -3) - x. Which is bigger: v or -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12160*p**3 - 6090*p**3 - 6067*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 12:06 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*j - 16, 5*x + 3*j + 1 = -35. What is the common denominator of 70\/x - 1\/1 and -3*4\/84*(-371)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258871*t**3 + 93201*t**2 wrt t?\nAnswer: 1553226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 7.5. Let g = -13 - -7.2. Let j = n - g. What is the nearest to -1\/3 in 3, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 0.3, -5\/33, 0 in ascending order.\nAnswer: -1.9, -5\/33, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*c**3*s*u**3 - c**3*s*u - 18*c**2*s*u - 825155*c**2*u**2 + 33*c*u**3 + 30570*s*u**3 wrt u?\nAnswer: 360*c**3*s + 198*c + 183420*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -39*h - 2. Let n(u) = -37*u**2 - 95*u. Determine n(t(b)).\nAnswer: -56277*b**2 - 2067*b + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 902924 = m - 23185, 3*b = 6. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 461\/190 - 1\/38. Solve -g*b**2 - 4\/5*b - 3\/5*b**4 + 0 - 11\/5*b**3 = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**3\/2 - 3*l**2\/2 + 2*l - 3. Let o(n) be the first derivative of a(n). Differentiate o(v) with respect to v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33653 is divided by 122.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, -1.3, -2.224, -4, -5, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/15)\/w*w**4*w)\/(w*w**(-1\/4))**(-7\/10) assuming w is positive.\nAnswer: w**(107\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 88. Let w be x(24). Is 32 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 19*p + 25. Let z be u(-10). What is the tens digit of (z\/10 + 2)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2732 and 1.\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143246573 by 8426269.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0. Let f be ((-24)\/(-40))\/(k + 2). Which is the closest to -2\/3? (a) 3 (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6 + 1 + 0). Let x be ((-12)\/10)\/((-6)\/(-15)). Which is the second smallest value? (a) o (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 452 and 14?\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1383095 or 1?\nAnswer: 9\/1383095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2. Let c(b) be the third derivative of b**5\/60 + b**2. What is c(z(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/13302 and -113\/12.\nAnswer: 26604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -5*3\/(-15) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42.9+-120050.92\nAnswer: -120093.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 14*b**2 + 13*b + 8. Let x be m(13). What is the second derivative of 5*z**5 - 10*z**5 - 15*z - x*z**5 wrt z?\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkkgkcfkg. What is prob of sequence gkcg?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 0. Let p be (-3 + 1)\/(x\/(-21)). Let m(l) = -22*l**2 + 2597*l - 118. Let r be m(118). Solve r = -2*u + p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 12) in base 15?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 426627 (base 9) in base 6?\nAnswer: 5240511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19842367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3269 divide 376159765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.7*4.\nAnswer: 98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:53 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51248416*w - 51248300*w = -7076 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(110) + sqrt(110)*2)*4*2)\/(sqrt(1000) + (-2*1*sqrt(1000) - sqrt(1000))).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5381*w - 2915*w - 814*w - 560*w to x + c*w and give c.\nAnswer: -9670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0*h**2 + 14*h + 1\/2*h**3 - 1\/2*h**4 + 0 + 3\/20*h**5. What is v in g(v) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o**2 - 10*o**2 + 41*o - 11*o - o**2 wrt o?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -16203*a + 16208*a, 4*a = 2*f - 42 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:02 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/7 and -74\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2. Let v(l) = -6*l - 2 + 35 - 2 - 27. Calculate v(n(p)).\nAnswer: -18*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7859 is divided by 2922?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 267, 401, 535, 669, 803?\n\"Answer: 134*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 6\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j = -0*j + 2. Solve -j*w + 37 = 37 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + r + 23 + 2*r**2 + 3*r**3 + 2*r**3 - 7*r**3 + 2*r**3 + (3*r - 6*r + 2*r)*(-r**2 - 1 + 1).\nAnswer: r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 11*b**2 + 9*b + 8. Let t be r(10). What is the remainder when 73 + -10 - 8\/t - 1 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -0.2, 1, -3, -60, -0.022, -2\/11?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*h = -3*f - 119*h - 33, 9 + 7 = -2*f + 4*h for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.048 - 2.048. Let p = 7819\/2 + -3834. Let i = 77 - p. Which is the closest to 3? (a) -2\/3 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2606193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 + 205. Suppose 5*f - 10 = -0*f, 3*f - 16 = -s. Calculate the highest common factor of i and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 458 and -4.\nAnswer: -1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 14 - 2. Let b(y) be the third derivative of 0*y**4 + 1\/3*y**3 - 2*y - 21*y**2 + 1\/30*y**5 + 0 + 1\/120*y**6. What is b(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 68. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3842.3 + -3033. Round b to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 2*w - 6*w - w + 5*w - 3*w - 2*w + w + 3*w + (-4 + w + 4)*(-1 + 3 + 0) - w + w - w - 5*w + 8*w + 4*w + w - w + w + (0*w + 2*w + 0*w)*(2 - 1 + 1).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 37, 38, 23, -14, -79?\n\"Answer: -a**3 + a**2 + 15*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 148*b**3 + 3744*b**2 + 34560*b + 55296.\nAnswer: 2*(b + 2)*(b + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -5*v**2 + 0*v + 0 - 1\/24*v**4 - 1\/3*v**3. Let k = -5 - 0. Let r(z) = z + 2. What is k*q(l) - 4*r(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 607.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*s**4 - 8*s**5 - 105*s**3 - 2777*s**2 + 2832*s**2 + 13*s**5.\nAnswer: 5*s**2*(s - 1)**2*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -532 - -776. Suppose -5*r - 2*f = -g, -3*r + 125 = -f - 28. Suppose -5*z - a + 6*a + r = 0, 15 = -3*a. Solve 5 = -4*i + 17, -z*q = i + 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*u**2*x - 17*j*x**2 - 3685*j*x + 126371*u**2*x**2 - 5*u - 14 wrt j.\nAnswer: -2*u**2*x - 17*x**2 - 3685*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*x = -188, -4*c = 3*x - 167 + 11. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1050 and 36450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511241993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -4, -53949 in increasing order.\nAnswer: -53949, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -9*x + 10*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 3, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 12040, 887 in descending order.\nAnswer: 12040, 887, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4455 - -13396. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-110)\/(-5) + 3\/1. Suppose -2*n - 35 = -7*n - 3*r, -5*n = r - 25. Solve 0 = p + n*p - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5536313.\nAnswer: 233, 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 39928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 + -123 + (9 - 57)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(4 + (sqrt(68) - (sqrt(68) + sqrt(68) + 2*sqrt(68))) + -4))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) 0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021 (base 3) in base 7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28373860.\nAnswer: 2, 5, 1418693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2178 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 - 43 = -3*b, -5*b = 5*y - 110. Let c be (-5)\/b + 14\/(-8). Let u(d) = d**3 + 3*d**2 - 2*d - 2. What is u(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*((0 + sqrt(176))*-1 - sqrt(176)) + -6*sqrt(176)*-2 + -3)**2 + 4 + 2.\nAnswer: -384*sqrt(11) + 45071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41259 is divided by 20619.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-11 - (-11 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or -97.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2066*u + 4816 = 4191*u - 2237*u for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7533.478ml?\nAnswer: 7.533478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1233\/135 + -9)\/((-2)\/27)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88*0.26.\nAnswer: 22.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 7*a. Solve a = -2*t + 4*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*f + 3*a, -2*f - 5*a + 41 = 8*a for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488334626 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-14)\/(-63))\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -282399.\nAnswer: -18\/94133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244247 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 13*t**2 + 6*t - 2. Determine f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -521 - 200 - 6*j**2 + 8*j**2 + j**3 in the form g*j**2 + t*j**3 + h*j + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11223774 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1917 and 6947208?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(12\/5)))**(-1\/13)*(j\/((j\/(j*j**(-15)))\/j))\/j**(-36) assuming j is positive.\nAnswer: j**(1483\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -87. What is the remainder when h is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 1:12 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22142, -44280, -66418?\n\"Answer: -22138*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**7 + 2*k**3 + 3. Find the third derivative of h(j) wrt j.\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = -31*l + 4*a + 29, 4*l + 2*a = 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.05 - -0.05. Let w = z - -23. Let t = w - 20.9. What is the closest to 0.1 in 2\/13, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-16)*z)\/z**(-3\/7))\/(z\/z**6)**(-3) assuming z is positive.\nAnswer: z**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d**5 + 3*d**5 - 23*d**5 + (-28 + 11 - 71)*(0*d**5 - d**5 + 0*d**5).\nAnswer: 60*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 669 = 28*a. Suppose -681 = 2*j - a. Put 1, 0, j, -5 in increasing order.\nAnswer: j, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 - 56*a**2 - 21*a + 342. What is q(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 1024*h**2 + 63506*h + 62480.\nAnswer: -2*(h - 568)*(h + 1)*(h + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1359\/28 or 48?\nAnswer: 1359\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5397040 to the power of 1\/2, to the nearest integer?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(60) + 1*sqrt(30)\/sqrt(2))\/((sqrt(5) - -2*-2*sqrt(5) - sqrt(5) - sqrt(5))*-5))**2.\nAnswer: 2187\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*h**2 - 100*h**2 + 1 - 1 - 113*h**4 wrt h?\nAnswer: -2712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 9 + 16 + -71?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 4:32 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18587, -37163, -55739?\n\"Answer: -18576*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.982 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*p - 84. Suppose -4*c - p = 3*c. Let w be c*(-4)\/(-6) - -6400004. Round w to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 9*b + 36*b + 7*b**3 - 21*b.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 - r**2 + 5*r**2 + 2*r - 2*r**2 + 1 + 2*r + 18*r**3 to d + j*r**2 + h*r**3 + q*r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6813, 6948, 7081, 7212, 7341, 7468?\n\"Answer: -p**2 + 138*p + 6676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-30) + 9258\/90 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + sqrt(448)*-2 - sqrt(448)).\nAnswer: -24*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 525 = -12*q. Solve 8*k - 11 = q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/9 + 548*k**4\/9 + 34828*k**3\/3 - 2410920*k**2 + 98136750*k - 95737500 = 0. What is k?\nAnswer: -222, 1, 75, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -993391\nAnswer: 2\/993391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**2 - 5*q. Let u be x(1). Suppose -83 = -u*t + 1. Calculate the greatest common factor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7) + (12 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {h: 2, e: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1524\/17272)\/((-6)\/56)\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*g = -290*g + 1247*g - 15982 + 119986 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 13*i\/2 - 15.\nAnswer: -(i - 10)*(i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -4b?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:44 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81690, -326946, -735706, -1307970, -2043738?\n\"Answer: -81752*q**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28730868 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45551264 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -21 - (2 + -4) - 26?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16672936 divided by 392\nAnswer: -42533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15086754000 rounded to the nearest 1000000?\nAnswer: -15087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -97\/4. What is the smallest value in -3, 2, -2, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = -2*x + 3, 4*h = 4*x - 8. Let q(n) = -4*n**3 - 2*n**2 + 3*n - 2. Let s(g) = -9*g**3 - 5*g**2 + 6*g - 5. Determine x*s(m) - 5*q(m).\nAnswer: 2*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281708?\nAnswer: 2, 3, 35603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h - 16 = 52*h. Let d be (2*(-2)\/(-36))\/(h\/(-24)). Which is the closest to 1? (a) -1\/4 (b) -1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5620*n + 11185*n - 5641*n. Let u(v) = 15*v. Give -2*i(w) - 11*u(w).\nAnswer: -2*w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 378 = -2*a, 2*a + 2*y = 3*a - 192. Let c = a - -56. List the prime factors of c.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z)**(-4)\/(z*z*z**(1\/9)*z\/z**(2\/15)) assuming z is positive.\nAnswer: z**(-674\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 + 208. What is the third smallest value in r, 5, -5, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1153*l - 601. Calculate the remainder when g(-6) is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6, 0.042, 2, -3, -0.5 in decreasing order.\nAnswer: 8, 2, 0.042, -0.5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 140 = 57*d. Calculate the common denominator of 3*(-8)\/(-25)*5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a factor of 2922150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5664 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716\/67 >= 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - 8*l)*((0 + 1 - 3)*(0*l**2 + 2*l**2 - l**2) + 2 - 2 + l**2 + 0*l**2 + l**2 - 2*l**2) - l**2 + l**2 + 2*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 4*q - 48, -5*r - 2185*q = -2182*q + 20 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470314838 is divided by 5560?\nAnswer: 5558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 4*o**2 - 2*o + 1. Let t be h(3). Let v(b) = -349 - 3*b - 3*b + 352 - 6*b**2. Let j(n) = -13*n**2 - 13*n + 7. What is t*j(a) - 9*v(a)?\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*p + 404*p**2 - 131 + 131.\nAnswer: 404*p**2 + 98*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4769*v + 28611. What is a(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -704*p**2 + 67*p - 96*p + 30*p to z*p**2 + b*p + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 (base 14) in base 4?\nAnswer: 10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30834 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 7*k**2 - 8*k - 8. Let t be n(-8). Let z(j) = -j**3 - 9*j**2 - 3*j + 5. Let f be z(t). Let d = f - -52. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w**2 + 9*w - 234. Let o(r) = 20*r**2 - 12*r + 234. Let t(s) = 3*g(s) + 2*o(s). Factor t(m).\nAnswer: (m + 6)*(7*m - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7754 take away -0.1?\nAnswer: -0.6754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/8620875 and -13\/35.\nAnswer: 60346125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210 + -192.1. Let c = j - 22.9. What is the third smallest value in -2\/19, -3, c?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -446 - (-205156)\/431 - (47 + -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142386757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163319304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 d when four letters picked without replacement from {q: 2, d: 10}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*f + 3 - 14 + 30 wrt f?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**9\/2520 + y**5\/40 - y**4\/6 + 2*y. Let l(q) be the third derivative of w(q). What is the first derivative of l(n) wrt n?\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128333 is divided by 2230?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/6 + 10\/(-15). Let p = 41 + -16. Let n = p + q. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 30*l**3 - 19*l**2 + 13*l + 9. Let t be h(3). Solve 18 = -t*d + 693*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1144 - 9.\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.04969 (c) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 497, 785, 1079, 1373, 1661?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.14*-56369.\nAnswer: 1078902.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13 or 263191?\nAnswer: 263191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = k - 5*k + 28, k - 47 = -5*m. Let r be 1 - 12\/m - 0. Let s = r + 23\/10. What is the common denominator of s and 37\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5930743.\nAnswer: 7, 13, 65173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14120 or 14160?\nAnswer: 14120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91215 or 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = 4*c. Solve 5*h - c*o + 10 = 0, 4*h + 4 + 1 = 3*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74130713 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 744?\nAnswer: -1\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 17*q = -5*q. Solve 7*y - y + 30 = q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/1631080 and -5\/2662.\nAnswer: 17941880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*t + 1032549 + 131665 = 86074. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2470 and 1957.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (40\/108)\/(3440\/111456)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**3*p - 23*d**3 + 2*d**2 + 11*d*p - 43*p wrt d.\nAnswer: -36*d*p - 138*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 9.7. Let r = 1 + n. Let o be 4 + 0 + 500\/(-130). Put -2\/19, o, r in ascending order.\nAnswer: -2\/19, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*p - 49, -8*y + 22 - 78 = -5*p + 2*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.5 - 163. Let j = z + 126. Put 6, j, -2\/13 in increasing order.\nAnswer: j, -2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*g - 459 - 34, 3*i = 2*g - 330. Let k = g - 1110\/7. Let w = 0.1 - -0.1. Put w, -2\/5, k in decreasing order.\nAnswer: k, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63261.06565 - -63458.07. Let w = u - 197. What is w rounded to 4 dps?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 12*n + 4. Let w be h(12). Suppose -w = -x - x. Suppose -x*f + 64 = -6. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5477 = 14*o + 1305. Let j = o - 296. Find g, given that 0*g + 0*g**j + 1\/3*g**5 + 0 + 0*g**3 - 1\/3*g**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - -17)*(-24)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.0536639748 + 0.02.\nAnswer: 18.0736639748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*g - 54, 0*g + 2*g = -10. Let j(i) = i**3 - 10*i**2 - 7*i + 1. Give j(o).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 3*k**2 - 4*k**2)*(1 - 1 - k) - 9*k**3 - 11*k**3 - 6*k**3 + (-23*k + 3*k - 2*k)*(4*k - 4*k + 2*k**2) to d*k + x + h*k**2 + s*k**3 and give s.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + -3*sqrt(13)).\nAnswer: -15*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26322521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -76. Suppose 3*x + 3*q - l = 152, -5*q - 149 = -2*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2\/3*x**4 + 4*x**2 + 2*x**3 + 0 - 16\/3*x = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 6:37 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 31*q**2 + 55*q - 3. What are the prime factors of b(5)?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 840 + 3120. Let n = u - -459. Solve -w = n*c + 3, -2*c = -3*w - 4*c - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1980*y + 635624. Give r(-321).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2. Let k(l) = 4 - 5 + 1 + l**2. Determine k(t(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Let i = d - -2.9997. Round i to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -796 + 795.258. Let s = n + 0.342. Which is the smallest value? (a) -1 (b) 40 (c) -1\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4406*r - 4401*r - 21 = 0, 37*v = 3*r - 52 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -5, 4, -382, 27, -8 in ascending order.\nAnswer: -382, -8, -5, 1, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0321 - -0.047916. Let h = -0.08 + z. Round h to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38267078*n**3 + 3108*n + 254 wrt n?\nAnswer: -229602468*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 12*r. Suppose 5*w = -0*o - o + 14, 4*o - w + 49 = 0. Let k be c(o). List the prime factors of 3\/(((-44)\/112)\/k).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 693 - 713 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 16*k. Let h(t) = -1. Let d(u) = u + 2. Let g(i) = -d(i) - 2*h(i). What is q(g(a))?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -24678.7 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + -2 - 1 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15965664 and 4224?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0547 and -56338.8.\nAnswer: 3081.73236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, g: 4}. What is prob of picking 1 f and 1 g?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 - -3) + 12 + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -332324, -665409, -998494, -1331579, -1664664, -1997749?\n\"Answer: -333085*v + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116542512.\nAnswer: 2, 3, 809323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 922197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74685971 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 483919*v + 2022764 wrt v?\nAnswer: 483919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuoubmbaabamobbo. What is prob of picking 1 u and 2 a?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (45\/18)\/(255\/(-4488))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 14446.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 - 18*l**4 + 42*l**3 - 22*l**2.\nAnswer: -2*l**2*(l - 1)**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2. Let w(f) be the third derivative of 11\/8*f**4 + 0*f**3 + 0 - 9*f**2 + 0*f. Calculate w(r(n)).\nAnswer: -66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50021.15 millilitres?\nAnswer: 50.02115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 48*o - 1820. Let w be u(38). What is the nearest to 2\/13 in 0.04, w, -2, 3\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i - 25. Let w be 8\/((-3)\/((-9)\/2)). Let o = w + i. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.012 - 0.088. Let r = -128 - -126. What is the closest to 0.08 in r, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:21 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 35*h**2 - 37*h + 39. Suppose -3*p - 6*w + 112 = -8*w, -3*p + 98 = 5*w. Let m be z(p). Solve 0 = 9*a - m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.009591 + -1.9629.\nAnswer: -1.972491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 72 - 324 = 0. Let o = 44 - c. Solve 0*s + 4*s = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484212380 to the power of 1\/3, to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.617636 litres to millilitres.\nAnswer: 3617.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.38 - -21.08. What is the second smallest value in -8\/7, -5, k, -3\/26?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 821555 or 821568?\nAnswer: 821568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -13197989 >= -13197990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -2\/5 (c) 1 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 22, -3752, 2 in descending order.\nAnswer: 22, 2, -2, -3, -3752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18449 + -18437. Solve -8*q = f - t*q, 0 = 2*f + 3*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000122033 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3267 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111747 + 492282 = 15*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y**2 - 6*y + 8. Let t(r) = r**2 - 15*r + 46. Let a be t(11). Calculate the remainder when w(a) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163c842 (base 13) to base 6\nAnswer: -413345140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*l**4 - 42*l**3 - 2*l**2 + 10814*l wrt l.\nAnswer: 192*l**2 - 252*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6201 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/((-17 - -32)\/45). What is the closest to -0.3 in 0.02, l, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 16*n**2 + 32 - 13*n**2 + 0*n as l*n + y + f*n**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-708)\/(-5369) - ((-4)\/26 - 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -501, 68.\nAnswer: -501, -4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k**2 - 731*k**2 - 66*k**2.\nAnswer: -751*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 a factor of 112041423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -2 - -1 - -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 o when three letters picked without replacement from dooxoxo.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 456939701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1)*(-6 - (-258)\/(-4)). Calculate the common denominator of -131\/30 and 1\/((48\/a)\/(-4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 2. Let n be a(0). Suppose 0 + n = x. Suppose i - 18 = -4*r, -5*r - 9 + 29 = 0. Solve 8 - x = -i*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*f**2*n**3 - 14*f**2 - 64*f*n**3 - 30*f*n**2 - 1173*n**3 - 3178 wrt n?\nAnswer: 96*f**2 - 384*f - 7038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300, -598, -896, -1194?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*n + 23 - 1, 42 = 4*g - 2*n. Let x = 19 - g. Calculate the remainder when 30 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44683471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 5. Let q = g - 3. Let j = 227\/327 - 3\/109. What is the closest to q in -4, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.39 * 2.22.\nAnswer: 3.0858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 45 + 39*k + 28*k + 24*k**2 - 41*k. Is d(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 38 = -2*u, -18*d + 19 = u - 14*d. Solve 10 = 3*w + u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, 9.1, 1, -0.9, 3\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 3*p - 2477 + 2477 as w*p**2 + u + s*p and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4168 + 1654. Is t not equal to 5822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -8\/5*w**3 + 4\/5 - 2\/5*w**5 + 2*w - 8\/5*w**4 + 4\/5*w**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-700)\/(-16) + (1 - (-18)\/(-24)) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w**2 + 3*w**2)*(93*w**2 + 46*w**2 + 86*w**2 + w**2 - 34*w**2).\nAnswer: 1152*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2047 - -133032\/65. What is the common denominator of o and 121\/24?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8340 and 33.\nAnswer: 91740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46515353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 20 = 0, 4*z - 218 = 83*m - 29*m for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 + -1 + (7712 - 7642).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12.9. Let z = -24620 - -24620.90076. Let j = k + z. Round j to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0 = -12, 0 = -5*a - 5*h - 20. Suppose 2*k - 1 - 8 = -5*i, a = -5*k + 3*i + 7. Solve k*s = 6*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1535610 to the nearest 1000.\nAnswer: -1536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006577541449 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15008277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1604131 (base 7) to base 13\nAnswer: -79150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(7\/4))**(2\/11))**(2\/3) assuming r is positive.\nAnswer: r**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*t**3 - t**2 + 16 + 8 - 24 - 15*t**3.\nAnswer: 17*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1281649893 divided by -427216631\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (14 + -6)) + 2 + 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270517909 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19671021 to the nearest integer?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 160341, 320762, 481173, 641574, 801965, 962346, 1122717?\n\"Answer: -5*d**2 + 160436*d - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14112495 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31\/72 - 5\/24. Let a = -563.78 + 564.78. Sort -0.5, 6, a, d in descending order.\nAnswer: 6, a, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -30. Let f = 26 + w. What is the second derivative of -6*s - f*s - 2*s**5 - 8*s**5 wrt s?\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -47. Solve -x + 3*t - 8 = 4*t, 5*x + y = -4*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 - 223. What is the second biggest value in m, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331 divided by -777?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 443027 and 19292.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -476 - -2?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 6*c + 3. Give w(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*x**2 - 24\/5 - 6\/5*x + 6\/5*x**3.\nAnswer: 6*(x - 1)*(x + 1)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -59*g. Let o(v) = -811340*v. Determine o(y(p)).\nAnswer: 47869060*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a + 485. Suppose -h + 3*b + 87 = 0, 2*h - a - 75 = 5*b. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-6)*14\/21*(-74)\/37.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 10498 - 10482 = 3*n, 4*f = -4*n + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 9. Let n be m(8). Put 5, -6, n in decreasing order.\nAnswer: 5, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 4:19 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9313\/1302 - 3\/217. Let m be 3 - 200793\/72 - 2\/(-3). Let k = m + 2793. Calculate the common denominator of s and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28006, 112253, 252728, 449431, 702362, 1011521?\nAnswer: 1376908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/3388)\/(33\/2079).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*o**4 + 32*o**4 - 93*o**4)*(2 - 5 + 4)*(-3 - 6 - 5).\nAnswer: 266*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.012191 millennia in decades?\nAnswer: 701.2191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -3*l + 4*c + 4, 5*l - 40 = 5*c. Suppose 2*v = l*v - 10. Let i(b) be the second derivative of b**4\/12 - 5*b**3\/6 - 2*b**2 + 2*b. Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/60 + j**4\/8 + j**3\/3 + 6*j**2. Let i(l) = -2*l**2 - 5*l - 3. Let s(g) = -3*i(g) - 5*n(g). What is s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -2184, -4.55?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 2029 - 1475. Let u = -436 - y. Solve -2 = 4*d + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 3, w: 2, d: 2, c: 4, p: 3}. Give prob of sequence wd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.656822 hours in minutes?\nAnswer: 339.40932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + f**2 + 3*f**2 + (2*f + 0*f + 0*f)*(-1 - 2*f + 1) - 2*f - 3*f**2 + 8 + 2*f as i*f + o + h*f**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2. Let x(q) be the first derivative of q**3 + 2 + 2 + 12 + 0. Calculate x(f(j)).\nAnswer: 48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1000*f**5*s**3 - 287*f**3*s**3 + 241*f**2*s**3 - 11*f**2*s - 5*f + s**3 + 2*s wrt f?\nAnswer: -60000*f**2*s**3 - 1722*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1670610 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 930 divide 114367016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277861924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2430 and 42093.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586075115.\nAnswer: 5, 41, 2858903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*o - 17, s + 1 = -0*o - o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*o - 65 = 0, -4*a + 50 = 5*o - 16. Calculate the highest common factor of 57 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -2*m - 3*j - 76, 784*m - 780*m - 64 = 4*j for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/2)*t\/(t**7*t)*(t\/t**(-2\/7)*t)**9 assuming t is positive.\nAnswer: t**(197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217525445?\nAnswer: 3, 5, 229, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 462316457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 9 - 0. Let m(k) = -k - 1. Let w(z) = -9*z**2 + 4*z + 15. Let t(r) = -4*m(r) - w(r). What is the tens digit of t(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 591 + -620.3. Let x = 16 + p. Let q = -13 - x. Which is the biggest value? (a) -0.3 (b) 8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - y**3)*(6*y + 0*y - 4*y) + 457*y**4 + 615*y**4 - 834*y**4 in the form g*y + m*y**2 + v*y**4 + a + l*y**3 and give v.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(1\/(-32)) + (-41)\/123?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x, -7 - 3 = -2*a - 4*x. Suppose -a*y + 27 = -o, 4*y - 2*o - 34 + 10 = 0. Suppose -502 = -y*u - 122. Round u to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 4}. What is prob of sequence qw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35018, 70026, 105026, 140018?\n\"Answer: -4*d**2 + 35020*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2301175, 2301155, 2301135, 2301115, 2301095?\n\"Answer: -20*u + 2301195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 13. Suppose 3 = 2*o - 13. Let u be i(o). What is f in u*f**3 - 5*f**4 - 2*f**2 + 0*f**2 - f**3 + 3*f**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 3, 20, 0.2, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278448 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/1878*(-826)\/(-84). Let j = 2\/313 + q. Let u(o) = -o**2 + 7*o - 5. Let m be u(5). What is the second smallest value in 0.2, m, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 36 = -16. Suppose -6*s + 3*s + 5*j + 18 = 0, t*j = -s + 6. Solve -13*w = -7*w - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8196779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -4c?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382079, -382077, -382085, -382109, -382155, -382229, -382337?\nAnswer: -382485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7313, 7307, 7301?\nAnswer: 7295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3033023 + -11?\nAnswer: 3033012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54, -5, -1\/2?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1916, -4, 2, -158, -2 in decreasing order.\nAnswer: 2, -2, -4, -158, -1916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {c: 1, l: 4, t: 6, n: 4, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55116 and 9621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -203, -408, -613, -818, -1023?\n\"Answer: -205*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 156*u - 13. Let g(v) = -7*v + 1. What is -c(q) - 7*g(q)?\nAnswer: -107*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from kkusskykksrns?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**2)**35*(((l**(-1)*l)\/l)\/l)**(-24\/7) assuming l is positive.\nAnswer: l**(783\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + n = 251, -4*x + 5*n = 69 + 178. Let l be (-1)\/(-4) + x\/156. Is l smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*y**2 - 25*y**2 + 131*y**2 + 109*y**2 + 423*y**2.\nAnswer: 699*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1528200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 232, 843, 1384, 1855?\n\"Answer: -35*b**2 + 716*b - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 228, -1, -12, -7, -3, 2 in ascending order.\nAnswer: -12, -7, -3, -1, 2, 13, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -9\/4, -0.6, -0.0766, 5?\nAnswer: -0.0766","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/240 + l**5\/30 + 7*l**4\/3 + 35*l. Let m(o) be the third derivative of u(o). Calculate m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 14) to base 16\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/60*78\/312*(0 - 2)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 35, 53, 87, 143?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150847113 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 45\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9688828323469 - -9688787005519.999907. Let z = 41318001 + l. Let b = z + -52. Round b to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**2 + r**6 + 6*r**6 + 0*r**6 wrt r?\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r - 4*r + 3*r**4 - 4*r**4 + (r**2 + 2*r**2 - 5*r**2)*(-3 + 3 - r**2).\nAnswer: r**4 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 - 0.265. Let y = u + 0.285. Put 3, y, -31\/4 in descending order.\nAnswer: 3, y, -31\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 13*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p - 6. Let y be a(-4). What is the common denominator of (-68)\/88 - (-1)\/y and -77\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -p - 218, 3*y - 15*p - 130 = -14*p. Calculate the common denominator of -57\/7 and 0\/(-4) - y\/168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let p(w) = 6083*w - 82. What is g(p(o))?\nAnswer: 6083*o - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(882) + 4.\nAnswer: 6 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12582.100078 and 0?\nAnswer: 12582.100078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 + w + 0*w**2 - 1\/6*w**3. Let z(n) = -2*n**3 + 4*n. What is -4*m(i) - z(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.905474 to one dp.\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14049 (base 10) to base 14\nAnswer: -5197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2747 + 2721. Let s = 25.4898 + 0.5002. Let r = s + l. Sort 1\/3, r, -0.4 in ascending order.\nAnswer: -0.4, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-18)\/5 - (4 - (-215)\/(-25)). Solve 2 = 3*k + r*i, 7*k + 1 = 9*k + 3*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1652 - 804 - 2*t - 860.\nAnswer: -2*t - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, f: 1}. Give prob of picking 4 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (178\/(-6))\/(2\/(-6)). Let s = -56 + b. Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614208697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 32, 44, 60?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7449*g**3 + 4352*g**2 wrt g?\nAnswer: -44694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 4?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/459 - (-1233533)\/28713.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(432) + 0)**2 + sqrt(432) - sqrt(21)\/(-4*-4*sqrt(7)).\nAnswer: 191*sqrt(3)\/16 + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1342, 2668, 3984, 5284, 6562?\n\"Answer: -n**3 + n**2 + 1330*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, -15105, -2, 0 in descending order.\nAnswer: 4, 0, -2, -3, -4, -15105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u - 6 = 0. Solve -u*p = 4*t - 10, -2 = t - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10672659*b + 3*b**2 - 10672659*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5752247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 2*v**2 - v**2 + (0*v + 2*v - v)*(-4*v + v + 2*v)*(-4 + 2 + 3).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/21)\/((-430)\/1505)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 12. Let r be h(3). Let f be (18\/72 - (-67)\/(-284))\/3. Which is bigger: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 7*n + 6. Let f be h(-6). Let b(c) be the second derivative of -2\/3*c**2 + 2\/9*c**3 + f - 1\/36*c**4 - 2*c. Let b(y) = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92831162?\nAnswer: 2, 79, 587539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(15)*2*6)\/(sqrt(15)\/sqrt(12)))**2 - (sqrt(162)\/sqrt(36))\/((sqrt(36) - sqrt(144))\/sqrt(6))).\nAnswer: -5184 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*t - t + 3, -2*t = 4*j + 2. Let n be (j\/2 - -2)*2. Let k(d) = -d**3 + 4*d**2 - 2*d + 2. Calculate k(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 667*y**2\/6 + 20101*y\/3 + 1820.\nAnswer: (y + 60)*(667*y + 182)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 + t**2 + t - 2. Let l be o(1). Let x(f) be the first derivative of f**2\/2 - 8*f - 2. Let h be x(l). Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24744817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/33 + (-14 + 18 - 7) + (-12)\/(-2)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 133, 115, 79, 19?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.437 and 1109847.\nAnswer: 1109844.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 138 = -3*x. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q - c = -33, 0 = 5*q + c - 90. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275 - 289.16. Let p = 12.9 + h. Let r = p - -1.26091. What is r rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -11*f**5 + 98*f**4 - 255*f**3 + 196*f**2 + 20*f = 0.\nAnswer: -1\/11, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19510 is divided by 574.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = -5*c - 68, 0 = 5*x - 4*c - 112. Let o = x + -8. Calculate the remainder when 61 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l. Let m(k) = 6*k + 6. Let o(z) = -10*z - 44. Let q(i) = -2*m(i) - o(i). Give w(q(t)).\nAnswer: 16*t - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324615491 + 67991?\nAnswer: 324683482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m. Suppose -2*k + 2 + 0 = 0. Let x be (3 - k)*6\/4. Let y(i) = i - i + x*i - i. Calculate a(y(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 i when four letters picked without replacement from fffgxxxxxifxi?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 + 45*s**2 + 7*s. Let z(t) = -5*t**3 + 41*t**2 + 8*t. Calculate -7*j(d) + 6*z(d).\nAnswer: -2*d**3 - 69*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 4*z + 40, 41 = -2*d + z + 27 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59500\/112 - (-9)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45560 is divided by 277?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1022 and 51830?\nAnswer: 362810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*f - 5*f - 22 - 62 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5208*s - 25. Let o(m) = -26038*m + 137. Give -2*o(i) - 11*q(i).\nAnswer: -5212*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*r**2 + 2*r + 111300 wrt r.\nAnswer: -724*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + y + 0)*(2*y**2 + 2*y**2 + 2*y**2).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2. Let p(j) = -26*j + 16. Suppose 5*t = -73 - 7. Let m(o) = -5*o + 3. Let c(b) = t*m(b) + 3*p(b). Give c(s(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 63c853?\nAnswer: -63c84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3501*p - 16. Let o be h(1). Let s = o - 2179. What are the prime factors of s?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -147844*f**2 - 10*f + 33. Let a be n(8). Let t = a - -17062063. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 2*a)*(4*a - 3*a - 4*a)*(-2*a + 0*a + 0*a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-2)\/(-4*3)). Solve 3*r - 3*n - 3 = -g, 2*r - 9 = -3*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 802*r - 58546. Let m be j(73). Factor 8\/3*w + m - 2\/9*w**2.\nAnswer: -2*w*(w - 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:43 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 10) to base 6\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {v: 2, o: 2, z: 2, p: 4, i: 3, k: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 817 - 392. Suppose -w + 428 = -r. Sort r, -37, 0, 1 in increasing order.\nAnswer: -37, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -297 + 261. Is 7 a factor of (54\/s)\/((-6)\/1796)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*g*w**3*x**3 + 2*g*w**2*x**3 + 36*w**3*x**3 + 4*w**2*x**3 wrt g.\nAnswer: 57*w**3*x**3 + 2*w**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1807 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57537 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43937660 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8547*h + 8547*h - 25650*h + 8565*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3161 is divided by 628.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 4, -g = 3*s + 3 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from omoocomoccoc.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) + (-448)\/(-9). Let i be (-8 - 5\/5)\/((-2)\/(-6)). Let n = g + i. Solve y - 5*y - 3*r = -n, y - 2*r = 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 2)*(-n - 2*n + 4*n)*(-144 - 7 - 258) to the form k + t*n and give t.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -105?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48866 and 0.2.\nAnswer: 9773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1634 + -1632. Solve f = -2*w - h, 5*w + 3 = -3*f - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1116)\/21*14\/(-4) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t**2 + t. Suppose -2*v = -5*g - 23, -4*g = -0*g - 2*v + 18. Let o(q) = 19 - 2*q + 19*q**2 - 19. Let m(j) = g*b(j) - 3*o(j). Calculate m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 4*c**2 - 19 + 9*c**2 - 33 + 14.\nAnswer: -2*c**3 + 13*c**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2714*c = -4*d + 2711*c - 170, -4*d + 3*c + 154 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 0. Suppose v + 3*y - t = 5, 4*v + y + 11 = 0. Let l be ((-8)\/18)\/(v\/18). What is the highest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/24 - u**3 - 4*u**2. Let j be w(-8). Solve 4*b = -5*i + j*i - 6, 0 = 4*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3739209*j**5 - 2*j**4 + j**3 - 21840090*j**2 wrt j.\nAnswer: 224352540*j**2 - 48*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/(o**(-1\/6)*o))\/o))\/((o*o**6)\/o))\/(o*o**(2\/17)\/o*o**(-5)*o))\/((o**2)**(3\/5))**(-20) assuming o is positive.\nAnswer: o**(2419\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1173 and 133584.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 6. Let k(u) = u**3 + 2*u**2 - 2*u - 4. Let o be k(-2). Let z be y(o). Solve 0 = 2*p - z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 93 + 2523 = 0. Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 1:26 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -882, -878, -862, -828, -770?\n\"Answer: n**3 - 3*n - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2 + 10\/3*r**3 + 4*r**2 + 1\/4*r**4 - r. Let l be a(-9). What is the highest common divisor of 32 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184 - 2*l + 1452 - 93.\nAnswer: -2*l + 2543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9952, 9917, 9882, 9847, 9812?\nAnswer: 9777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -cb64 (base 16) to base 5\nAnswer: -3131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:24 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40435632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-168)*20 - (1 - 0)*7\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.7 (b) -0.019 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:16 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 128 = -3*t. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 296*v + 14 - 4 + 209*v in the form z*v + t and give z.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (35 - -7)) + -1 + 0 + -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 254*x - 3835. List the prime factors of v(76).\nAnswer: 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -42. Let s = f + -19.5. What is the second smallest value in -1\/3, -12, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(3*(-4)\/12). Put z, 1, 5, -2 in decreasing order.\nAnswer: 5, 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5 + 96*x**4 - 4*x**3 - 96*x**2 = 0. What is x?\nAnswer: -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3092186 is divided by 1030499?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -16*o + 20*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/6*w + 10\/3 - 1\/6*w**2.\nAnswer: -(w - 1)*(w + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/6 + (-140)\/(-42). Solve -4*x - x - 3*w - 17 = o, 4*w + 16 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*v = -3*p - 41, -5*p - 175 = -2*v. Let j = p - -35. Suppose 5*w + 5*r = 45, j*w + 2*w + r - 39 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160 + -42723?\nAnswer: -42883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**8\/4032 - y**7\/504 - y**6\/144 + 13*y**5\/60 + 19*y**2. Let w(f) be the third derivative of v(f). Factor w(o).\nAnswer: -5*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a - 4*a - 2*a**2 + 3*a**3 - 5*a**4 + 8*a**4 + 3*a to b*a**2 + l + u*a**4 + j*a**3 + d*a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1056 = 4*u, 2*u - 16*g = -14*g + 540. What is the lowest common multiple of 228 and u?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2977*z + 14852. Determine r(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*o - 362*o = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*g + 30, -2*r - 38 = r - 5*g. Let w be (4 + 0)*-1 - r. Solve 0 = -4*t - 2*q + 14, -t - w*t + q + 18 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 52*a + 2272. Let o be m(-41). Sort -4, -3\/4, o in descending order.\nAnswer: o, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**3 + 324*l**2 + 155*l - 169. What is t(-40)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. What is the tens digit of 1 + k\/(-4)*42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -5, -2 in descending order.\nAnswer: -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tosjtojos. What is prob of picking 1 j and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a + 3*a)*(-4 + 4 + a) + 4*a**2 - 5*a**2 + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 10. Let w(g) be the second derivative of -4\/9*g**i + 0 + 1\/18*g**4 + g + 4\/3*g**2. Factor w(l).\nAnswer: 2*(l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8*(-35)\/840 + (2 - 5623\/(-3)) is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - w - 1. Let a(b) = -12*b**2 - 4*b - 4. Give 3*a(o) - 12*q(o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 801 - 15. Let o(b) = 20*b**2 - b - 1. Let x be o(-4). Suppose -4*y + x = -j, 0*y - y - 4*j + m = 0. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874 - 5*x**3 + 874.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 10. Let y = f - 7. What is the greatest common divisor of y and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u. Let d(w) be the second derivative of -7\/6*w**3 + 0*w**2 + 0 - 3*w. Give d(i(n)).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1042463 (base 7) to base 8.\nAnswer: -372264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3067927346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*1945.\nAnswer: -1361.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 84*l - 1363. Calculate g(17).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - (16 + 12 + -19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22544.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8886501.\nAnswer: 3, 13, 151, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**6 - 2633*k**4 + 1264*k**2 + 3*k wrt k?\nAnswer: -120*k**3 - 63192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 2329882\nAnswer: -11649410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g**3 + 2*g**2 - 2*g + 2. Let v(x) = -375*x**3 + 51*x**2 - 51*x + 51. Calculate 153*o(f) - 6*v(f).\nAnswer: -45*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*2\/24 - 23\/(-414). Let v = 1.818 - 0.818. What is the nearest to 5\/2 in 0.2, r, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16 + (-126)\/45*-10. Solve -v - 7 - 2 = b, 0 = -3*b - a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3336 and 313167.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101010 - 1111?\nAnswer: -11011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 371, 1504, 3407, 6092, 9571?\n\"Answer: 2*s**3 + 373*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6319 less than -0.061437?\nAnswer: 3.570463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 1. Let l be k(-1). Let h = 3 - 2. What is the remainder when (l\/h)\/((-1)\/(-49)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 32 - 16 - 41.\nAnswer: n - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*w**3 + 21*w**3 - 581*w**3)*(-4 + 1 + 1) - w**3 + 0*w**3 - w**3 + 0*w + 1 + 2*w**3 - w - 2*w**2 + 6*w**2.\nAnswer: 1152*w**3 + 4*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 212852 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/2 - 2799*q**3 + 61173*q**2\/2 + 38991*q - 66780 = 0.\nAnswer: -2, 1, 12, 1855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 4*b - 176. Calculate the greatest common divisor of 66 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7852160 divided by -3?\nAnswer: 7852160\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*m - 2*x, 2*x + 5 = 5*m + x. Solve -5*d = -m*z - 26, -2*z + 22 = 4*d - 4*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 - -3) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377340 and 1088328.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -783a5?\nAnswer: -783a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -231, -268, -229, -108, 101, 404?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5133 - 5154.97. Let g = y + 0.97. Let a be 4\/(-5)*1\/(-2). What is the second smallest value in a, g, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -77*i**4\/5 - 8*i**3\/5 + 81*i**2\/5 + 8*i\/5 - 4\/5 = 0.\nAnswer: -1, -2\/7, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*a + 110, 0*p + 9 = 3*p. Suppose -c + a = 3*x, -5*x + 43 = -3*c - 20. What is the highest common factor of x and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.717762 millilitres in litres?\nAnswer: 0.005717762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**2 + 132*v - 1. Give r(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 0*f)*((-1 + 2 + 0)*(-8 - 4 + 9) + 2 - 5 + 1 + 1 + 1 - 4)*(-2*f - 2*f + f).\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901 = -42*l + 943 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 13 + 9. Let i be 57\/d - (-10)\/(-55). Sort -1, 0, i in descending order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7132.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 8, a: 5}. What is prob of sequence aarr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8675 - 3 - (-18)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 619836618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41, 112, 173, 218, 241, 236, 197, 118?\n\"Answer: -a**3 + a**2 + 75*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 7369*z**2 + 44183*z + 36815.\nAnswer: (z + 1)*(z + 5)*(z + 7363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -10*m + 14*m + 100 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 29. Let g = a + -7. Suppose -48 = g*z - 188. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 144616*w - 6794743. Determine y(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1596 and 17774253?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317552216.\nAnswer: 2, 41, 968147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 416 = 43*f - 524, 7*f = -3*v + 10*f - 72 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16093 is divided by 575.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*2\/27 + 6032\/1044. Calculate the common denominator of ((-6)\/(-8)*o)\/(3\/18) and -29\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, 1 r, and 1 m when four letters picked without replacement from {s: 1, l: 1, q: 3, r: 1, m: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - 2*p + 0*p + (-3 - 2 + 6)*(2*p + 24 - 24) - 6 + 1 - p + 3.\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 305 + -67. Let c = 115 - 573\/5. Is z greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szesessssssssssszess. Give prob of sequence seez.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12843 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: Which is the second biggest value? (a) -2\/27 (b) -4 (c) 7 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 2. What is the remainder when (-1158)\/(-60) + (-21)\/70 is divided by -3 - -13 - s\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.896 and 4613?\nAnswer: 4613.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10391114*s - 10915931 with respect to s.\nAnswer: -10391114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.522 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -96, -141, -188?\n\"Answer: -f**2 - 40*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1305 - 1301. What is the closest to 0 in s, 3, -8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let z(r) = 4*r**2 + 12*r. Let n(v) = -6*u(v) + z(v). Let d(a) be the third derivative of a**5\/60 + a**2. Give d(n(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.4, -6\/37, 2\/5, 1\/4, -0.1?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/31445658 and -131\/42.\nAnswer: 220119606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/181 - -3035\/1086. Let h be (-890)\/(-40)*(-1072)\/(-126). Let b = h + -1729\/9. Find the common denominator of b and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/123 and 14*(-16)\/(-56) - (8660\/(-1025))\/(-2).\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkokkokkoo. What is prob of sequence oooo?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r - 3. Let x(q) = -4*q - 2. Let n be x(-1). What are the prime factors of p(n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 10 = 2*c. Let k = c - -11. Calculate the highest common divisor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 244?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*o + 82, 8*o - 12*o = 4*w - 160. Find the first derivative of -n - 41 + 3*n + o - 2*n - 123*n**2 wrt n.\nAnswer: -246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11010?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 - 12 = 0. Suppose -i + f = -2. Let u(n) = -n**2 - 13*n + 3. Let w be u(-7). Calculate the greatest common divisor of i and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 less than 81.5011?\nAnswer: 119.5011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:31 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, 0, 3, -5 in descending order.\nAnswer: 5, 3, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -0.09, 1.2, 9 in increasing order.\nAnswer: -7, -4, -0.09, 1.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535639 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 39697, -143\/12, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876815 is divided by 3762?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*w + 802*w + 58864 = -1216*w - 514*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2722*f - 1. Let v be p(-3). Let q = -667 - v. Round q to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 5*v**3\/12 + 5*v**2\/4 - 75*v\/4 - 218. Determine a, given that g(a) = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342103461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -112021211212012 (base 3) in base 16?\nAnswer: -73e27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - w = -2, -5*c - 23*w + 22*w + 2 = 0. Solve 4*r - 16*r - 24 = c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 41 - (-8 + 33) - 4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-8\/7)*h)\/h**0*(h**2)**(21\/4) assuming h is positive.\nAnswer: h**(159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + 6*sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110))*-2 + -4*sqrt(110)*-6)\/((sqrt(540) - (-2*sqrt(540) + sqrt(540)))\/sqrt(6)*-2).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3) + (1 - 0). Suppose d*w = -0*w + 378. Calculate the greatest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 22. Let x = 3 + -4. Put 1, x, f in decreasing order.\nAnswer: 1, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2166779 decades?\nAnswer: 2.166779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -d + 649, 3*d - 190 - 13 = a. Let o = a + 221. Calculate the greatest common divisor of o and 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032595657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 30.3 times 0.02\nAnswer: 0.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84316584179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*t - 5*f, 0 = -2*f - 12 + 2. What is the remainder when 39 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.27 + -0.57. Let u = 24 - m. Put u, 3, 5 in descending order.\nAnswer: 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19031090 is divided by 673?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14b835 (base 14) in base 10?\nAnswer: -723287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*k**3 - 426*k**3 - 216 + 216.\nAnswer: -558*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100451272 by -2.\nAnswer: 50225636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575222.6 hours to nanoseconds.\nAnswer: 2070801360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92316 divided by 12?\nAnswer: 7693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939 - 0.045?\nAnswer: 2938.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 612366094*w**4 - 718255438*w.\nAnswer: 7348393128*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1987611079 divided by 67\nAnswer: 29665837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v - 17. Let r = v + 17. Solve 2 + r = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/70 + 392\/(-1372)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (10 + -4)*30\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 6*d + 6. What is l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280 (base 15) to base 3.\nAnswer: 210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1813, -3756, -5751, -7798, -9897, -12048?\n\"Answer: -26*x**2 - 1865*x + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + s - 1. Let u(o) = -o**3 + 9*o**2 + 4*o - 5. Suppose -9 = v - y, -5*y + 0 = -v - 9. Let x(f) = v*h(f) + 2*u(f). What is x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 5*a**3 + 2*a**2 + 2*a**2. Let w(v) be the second derivative of 13*v**5\/10 + 11*v**4\/12 + v**3\/6 - 12*v. What is -11*p(j) + 2*w(j)?\nAnswer: -3*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/398 and -49\/11343.\nAnswer: 22686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 1. Let r(u) = 8*u - 6. Let i(m) = 6*o(m) - r(m). Let s(t) be the third derivative of t**4\/12 - 2*t**2. Calculate i(s(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*a - 8 = 0, 0 = -3*b + 5*b + 3*b - 5*a - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1363 or -1360?\nAnswer: -1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + f + 33. Let y be z(0). Let i be (-55)\/y*(-1 - 2). Suppose i*u - 112 = 2*u - 5*l, 4*u + 5*l = 146. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1270, -1141, -926, -625, -238, 235?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -1\/334, 268 in increasing order.\nAnswer: -1\/334, 110, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5185085?\nAnswer: 5, 17, 61001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:37 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -3060, 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 3, n: 6, w: 1, d: 3, r: 5}. What is prob of sequence ddlw?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -5*j - 4320. Differentiate -51 + 250*n - j*n - 51 with respect to n.\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/21 + -61\/210. Are -1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84610680 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -45) + -72 + -4 + (0 - -4)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 500 = 9*a. Suppose -864 = 11*l - 27*l. What is the remainder when l is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608878.98us in hours?\nAnswer: 0.00016913305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.33 - 45.33. What is the second biggest value in 20, w, -2, 3, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6967*b*x - 146840*b - 10987*x - 643 wrt x?\nAnswer: -6967*b - 10987","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 45 = z. Suppose b + 1 = 0, 0 = -w - 2*b - 2 + 6. What is the remainder when z is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 19 = 2*x - 23, 0 = 2*o - 4*x + 20. Let r(h) = -13*h - 4 - 1 + 1. Calculate the remainder when 87 is divided by r(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.065 micrograms in grams?\nAnswer: 0.000132065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2240 and 61\/10?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 12:10 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4663?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, m: 1, d: 3}. Give prob of sequence dddm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 853\/2?\nAnswer: 853\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 70, 144, 276, 484, 786, 1200?\nAnswer: 1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 8210*y**2 - 8013214*y + 856354994.\nAnswer: -2*(y - 97)*(y + 2101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from hbttthjtjbbthhttttt.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 + a**2 - 5*a - 4. What is h(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 5*o**2 - 5*o - 2. Let x = 2 - 7. What is the units digit of d(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096066237 to the power of 1\/3, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382437262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3476*j - 110207. Calculate d(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188463599*i**4 - i - 112034831?\nAnswer: 753854396*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 2*g**2 + g + 1. Let p be (-4)\/(-10) + 15\/25. Suppose -p - 3 = 2*u. Is 6 a factor of y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64986186776\/23682875 + 46\/947315. Let u = h + -2744. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*r = 3599 - 10871 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.04 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.885146ms in weeks?\nAnswer: 0.000001153910625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-209)\/(-11172)*49 + 3*4\/(-18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 + 417. Solve y + 2\/17*d**3 + 0*d + 0*d**2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 918 = -33*r - 16*r. Let x(j) = j**3 - 17*j**2 - 4*j - 14. Give x(r).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110100110000 (base 2) to base 3.\nAnswer: 1102100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 32*f - 810. Suppose 5*z + 7*z = 204. What is the remainder when o(29) is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-30)*(-9)\/2. Suppose -5*o + 8 = -q*o. Solve -2*w + 0*w + 2*f - 4 = 0, 0 = o*f - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20752*f**2 + 20710*f**2 + 20716*f**2 - 62176*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 1495?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1004290013 + -674310013. Round o to the nearest one million.\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 3740*s.\nAnswer: -3740*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 + -150.98. Which is the third smallest value? (a) h (b) -11 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Suppose -s = 3*d + 3 + 4, 0 = 4*s - 5*d - 40. Let n = s - i. What is the lowest common multiple of n and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -1\/2*s**3 + 0 + 1\/6*s**4 + 6*s**2 - 1\/30*s**5 + 0*s + 1\/120*s**6. What is t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -0.26799.\nAnswer: -0.56799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:45 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 295900 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let w(u) = -6 + 0*u - x*u + 4. List the prime factors of w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/7 - 3\/7. Let l = -91 + 92. Which is the nearest to w? (a) 4 (b) l (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 23*t - 34. Let n be g(8). Which is the smallest value? (a) n (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-24) + (-1)\/(-4). Is 3\/20 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 g when four letters picked without replacement from {f: 8, k: 5, g: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 6. Let p(n) = -3*n + 82. Calculate p(q(c)).\nAnswer: -12*c**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 6*r**2 - 6*r + 4. Give p(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264341 divided by -11?\nAnswer: -24031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w - 16. Let l(k) be the first derivative of 29 - 2*k - k + 10*k - 4*k + k**2. Let v(m) = -16*l(m) - 3*x(m). Let b(c) = -4*c. Give b(v(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 547346*d + 4378767. Determine p(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -627*t**5 + 1209*t**5 + 1490*t**5 + (t**3 + 3*t**2 - 3*t**2)*(0*t**2 + t**2 + 0*t**2).\nAnswer: 2073*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*-2 - sqrt(95))*-5)\/(sqrt(5) - sqrt(180)*3).\nAnswer: -15*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 3, w: 6, u: 3}. What is prob of picking 1 o and 1 w?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*(2 - 2262\/9)*(-78)\/143\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4\/8 + 777*w**3\/8 + 2167*w**2\/2 = 0.\nAnswer: -11, 0, 788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-84)*2*-7 + (-29 - -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) -0.5 (b) 1.3 (c) -0.1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6033983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(45)\/(sqrt(1296) - sqrt(1296)*3) + -2 + 4 + -1 + 2*sqrt(180))**2.\nAnswer: 287*sqrt(5)\/12 + 411269\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179603 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2318 or -2698?\nAnswer: -2698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2 + 6*n - 14*n + (0 + 3 + 0)*(0*n - 4*n + 2*n) + (4 + 2*n - 4)*(-8 - 16 - 17))*(4 + 2*n - 4).\nAnswer: -196*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*i**3 - 6*i**3 - 12*i**3)*(-4 + 4 - 2*i) to the form f*i**3 + j*i**2 + k + r*i + x*i**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let f be -1*0\/(-2) + r. Let a = -105390 + 105392. What is the highest common divisor of f and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -28 - 4. Let n be (-6 + 2)*(f + 5). Suppose i + 0*i - 11 = 4*w, -4*w + 4 = -4*i. Is n smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*f = 40, 5*f - 22 = -5*y + y. Let m(t) = t**3 + t**2 - 12*t + 1. Let a be m(y). Suppose 117 = -4*w + a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w + 32 = 2*x, 5*x = 2*w + 118. Calculate the least common multiple of -2*(8 - 4 - 14) and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 divided by -81?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5249\/228 - -1070\/57. Find the common denominator of g and 2\/20*-1*3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1264 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(6)\/sqrt(8))**2 + ((sqrt(108) + (sqrt(108) - (sqrt(108) - sqrt(108)*1)) + sqrt(108) + sqrt(108))\/sqrt(9))\/sqrt(4).\nAnswer: 4*sqrt(3) + 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 3 + -10 - -5) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.5 + -1.5. Let u = -16 - d. What is the third smallest value in u, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 345442, 343979, 341542, 338131, 333746, 328387?\n\"Answer: -487*j**2 - 2*j + 345931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 13 = -7*w. Let k(s) = -5 + w - 7*s - 11. Let q be k(-3). Solve 4*m + 1 = -3*g, -3*m = -2*g - 2*g - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/42 and -41\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m**2 - 18*m + 44*m**2 - 24*m**2)*(2*m - 3*m - m).\nAnswer: -4*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 5 = -25*j. Suppose -v = -j*h + 1132, 0*h - h + 236 = -5*v. Suppose r + h = 4*f, 0*f - 4*f - r = -230. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38 and -25\/4546.\nAnswer: 4546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 2.14, 8.4.\nAnswer: 0.3, 2.14, 5, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -39*u**2 - 13*u + 9. Let k(r) = 19*r**2 + 7*r - 5. Calculate -11*k(i) - 6*z(i).\nAnswer: 25*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788*j + 12*j + 54812 = -36756. Suppose 0 = 4*v - 7 - 1. Calculate the greatest common factor of j and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d**2 + 10*d + 56. What is k(-4)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -456, -591, -948, -1635, -2760, -4431?\n\"Answer: -18*h**3 - 3*h**2 - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(-5 + 2*2*sqrt(11) + sqrt(110)\/(sqrt(10) + (sqrt(200)\/sqrt(4))\/sqrt(5)) + -1) + -5.\nAnswer: -135*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 334*j**2 + 10476*j + 9. Calculate h(194).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:48 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/119 - (7 - 156\/21). Put 16, k, -2, 0 in decreasing order.\nAnswer: 16, k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.148 and -4.\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 8*v - 3. Let h = 10 - 6. Suppose -x - 5*f = 13, -x = h*x + 4*f - 19. Let u be d(x). Solve -4*i + 0*i = -u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 - 210 + 131*k**3 - 73 - 28 - 175 wrt k?\nAnswer: 393*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 257849, 257835, 257819, 257801?\n\"Answer: -x**2 - 11*x + 257861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011745823 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3 + 112*r**2 + 1620*r + 3744 = 0 for r.\nAnswer: -8, -3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, c: 2, w: 2}. Give prob of picking 2 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9145\/19 - 37891\/76. What is the common denominator of (-2)\/(-3) - (-66)\/56 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/53, -3\/5, -2588, 1.9, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/126 and -157\/2436.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 956 + -758. Let c = -6 + 33. What is the greatest common factor of m and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 + 2 - (-5 + -5 + 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let o = 4 - p. Suppose 5*r - 80 = -5*z, 0 = -o*z - 0*z + 5*r + 100. Calculate the highest common factor of 45 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*y = -2, 3*s + 133*y = 128*y + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105003813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 4*u + y, -2*y - 83 = -4*u + 95. Suppose -u = 4*z + 3*p - p, -3*z - 32 = 4*p. Let a be (-3)\/z*(-4)\/(-7). What is the nearest to 0 in 5, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k - 2. Let a = 133 + -17. What is the remainder when a is divided by d(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16019 + 0.00206. What is j rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4673 times 0.05\nAnswer: -233.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578*x**2 + 581*x**2 + 2*x + 583*x**2 - 2909*x**2 + 589*x**2 + 590*x**2.\nAnswer: 12*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 1. Let a be (180\/25)\/((-4)\/(-10)). Let d(n) = 7*n - 9. Let t(q) = a*b(q) - 2*d(q). Let m(f) = 3*f - f - 3*f. Determine t(m(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.01, 7\/4, -36, -156, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(297\/(-25245))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1153 + 1162. Solve -5*q - w = 0, l*q + 2*w = 5*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 34*k**2 - 215*k + 75. Give q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -40*i + 64*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - i**2 - 2*i + 11. Let k(q) = -q**3 - q**2 - q + 2. Let h(b) = -k(b) + o(b). What is h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -50?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/d**(2\/27))\/d))\/d)\/(d**(-3\/16)*d*d) assuming d is positive.\nAnswer: d**(-1183\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1225689422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2164982907 rounded to five decimal places?\nAnswer: -0.2165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14650 (base 7) to base 8\nAnswer: 10006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h - 2. Let n(w) = -26*w - 5. Let u(d) = 8*m(d) - 3*n(d). Let k be u(-1). Let f(t) = -t**2 - 8*t - 3. Let o be f(k). Solve -o*c + 8*c = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**5 - 15*k**2 - 4*k. Let n(i) = i. Let y(x) = l(x) + 4*n(x). What is the third derivative of y(a) wrt a?\nAnswer: -660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28084*p**4 - 215519*p**2.\nAnswer: 674016*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 25, 2*r + 3*n = 21. Suppose r = c - 5*d + 1, 10 = 5*d. What is the lowest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11ce9 (base 16) in base 6?\nAnswer: 1321401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c\/(c**(-16)\/c))\/c)\/c))\/c**10*c\/((c\/(c**8\/c*c))\/c*c)*c*c*c*c**(5\/6))**32 assuming c is positive.\nAnswer: c**(-1264\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 479272, 479280, 479300, 479338, 479400, 479492?\n\"Answer: i**3 + i + 479270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**2 + c**3 + 9*c**3 - 9*c + 9*c + (2*c**3 + 0*c**3 + 0*c**3)*(-4 - 2 + 5).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19292 = -278910*d + 279281*d for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 500966\/3, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let k(d) = -3*d - 28. What is k(y(l))?\nAnswer: -3*l**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*s + 5, 3*s - 4*s - 1 = -2*z. Let u = 32 - 29.4. Let l = -2.8 + u. Which is the nearest to s? (a) l (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -466*i**2 - 3*i + 1. Let y(d) = -4*d. Calculate y(b(t)).\nAnswer: 1864*t**2 + 12*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9553333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i**3*m**2*y**3 + 27*i**3*y**3 + 2*i**3*y**2 + 2*i**2*m**2*y**3 + 2*i**2*m*y wrt m?\nAnswer: -20*i**3*y**3 + 4*i**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -465 + 204. Let s = -17489\/67 - h. Which is bigger: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.539 + 1.639. Which is the nearest to n? (a) 6 (b) -1\/5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 + -11?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**4 - a**3 - a**2 - a + 1. Let h(q) = 6*q**4 - 245*q**2 + q - 1. Let s(v) = h(v) + t(v). What is the third derivative of s(y) wrt y?\nAnswer: 168*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1179328109 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100220 (base 3) in base 5?\nAnswer: 1404243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 11. Let f(g) = -g. Determine i(f(o)).\nAnswer: -o - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))**(-2\/9))**(2\/27) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/12 - b**3\/2 - 3*b**2\/2 - 2*b. Suppose -4*j + 20 = 0, 5 = -2*h + j + 10. Suppose -5*w - 10 = h. Give p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-2 - 5)) + 29 + -9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 20 = -23*i + 12*i - 4*k + 29 - 13, 1 = -k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 75*m**3 - m**2 - m - 2. Let r be q(1). Solve -43*b - 101 = r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 253591 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000142652 rounded to 7 decimal places?\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 357*s**3 + 32 + 14719*s**5 + 3*s**2 - 9*s - 110*s**3 - 14718*s**5 wrt s.\nAnswer: 20*s**3 + 1482*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.5443 (b) -2 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2013371277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u - 19 + 20\/3*u**3 + 0*u**2. Let k(z) = 4*z. Let w(m) = m. Let h(q) = 2*k(q) - 9*w(q). Give t(h(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 3*v + t, -2*v + 5*t + 116 = t. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.149 - -3.581. Let u = r + -4.72755. What is u rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 55*l - 3662. Calculate p(-94).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/15, 4\/9, 5, 0.3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = 3*s - 6*x, 2*x - 26 = -4*s. Suppose 0 = -2*w + 5*l + 263, 3*w + s*l - l = 447. Suppose 6*c - 276 = w. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3001 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25588.72 - 99270.\nAnswer: -73681.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y - 5. Let x(l) = 78*l - 36. Let w(j) = -36*a(j) + 5*x(j). Let o(s) = 2*s**2. What is o(w(t))?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4224108080?\nAnswer: 2, 5, 47, 71, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 323146 < 324879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*v - 132*v - 15*n + 10*n - 135, 3*v = 4*n + 87 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/62711185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 21*y + 84. Let c be k(-4). Solve 41*g - 83 + 288 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000317254 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and 3075903286852.\nAnswer: 3075903286864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21297 and 1601855?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 + 9*a**2 + 7*a - 6. Let r be q(5). Suppose 0 = 2*o - 4*o + r. Suppose -3*i - l = i - 544, 5*l + 272 = o*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 39. Let a(y) = 2*y**2 + 2*y + 40. Let k(b) = -2*a(b) - 3*x(b). Differentiate k(d) wrt d.\nAnswer: -8*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 129, 276, 473, 714?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*a + 5, -5*z + 2*a - 3*a + 28 = 0. Let b = -3 + -2. What is the nearest to 0.1 in b, z, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**3 - 7*y**2 - 11*y + 9. Let f be 4\/((-3)\/((-6)\/(-4))). Let d(z) = -4*z**3 + 3*z**2 + 5*z - 4. Let j(o) = f*s(o) - 5*d(o). Calculate j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*w + 9*w - 2*w**2 + 2)*(3 - 2 + 1) to f*w**2 + v*w + p and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -3*f - 3*o + 2916, 0 = -2*f + 4*o - 1172. Let v = f - -1186. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00750963 rounded to 4 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = o + 2*u, 3*o = -2*u + 1 - 3. What is the second derivative of 21 + 5*a + 2*a**o - 21 wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 5*t**2 - 4*t + 6. Let n(a) = -a**3 - a + 7 + 0*a - 5*a - 7*a**2 + 2*a. Let z be n(-6). Is 13 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*y + 1 + 853*y**2 - 142*y + 81*y - 168*y - 2877*y**2 wrt y.\nAnswer: -4048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*d + 8. Suppose -2*u = -z + u + d, 2*z = u + 4. Solve -6*o + o = z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3060 divided by -2.\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3382 - 726. Is 2658 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s. Let r(v) = -3874933*v - 1. What is i(r(z))?\nAnswer: 11624799*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 662658 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -11513 and 2.\nAnswer: -11511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 51*d - 220.\nAnswer: (d - 4)*(d + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -118, -236, -410, -640, -926?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-5)))\/(p*(p**5*p)\/p))\/((p**(-2\/19)*p)\/p**(-3\/2))*p\/p**(-5\/6)*p\/(p\/(p*p**5*p))*p\/(p\/((p**(-1\/6)*p)\/p)*p)*p*p**(3\/5) assuming p is positive.\nAnswer: p**(-2353\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*a**2*n*p**2 - 1179*a**2*p**3*z + 13*a*n*p**3*z - 5*a*n*p - a*n + 8*a*p*z - 3*p**2*z wrt p?\nAnswer: -7074*a**2*z + 78*a*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*13*(-3)\/(-156)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 12. Let f(i) = -i + 1. Let h be ((-6)\/3)\/(-9 + 29)*-10. What is h*g(a) + 6*f(a)?\nAnswer: -a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 26 + 4*s**2 - 5*s**2)*(-3 + 1 + 3) + 2 - 2*s**2 - 2.\nAnswer: -3*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.22, 3, 1 in decreasing order.\nAnswer: 3, 1, 0.22, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyoyooyyoooyyy. Give prob of picking 3 y.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + 2*x**4 - 5*x**4 + (-2*x - x + x)*(-101*x**3 + 7225*x - 7225*x) in the form m*x**4 + p*x**3 + h*x**2 + a*x + c and give m.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/121, 0, 1, 4 in ascending order.\nAnswer: 0, 10\/121, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a8 (base 14) to base 2.\nAnswer: 110000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*h - 30 + 146 = 1071 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + x + 2 = -0, 0 = v + 3*x + 6. Suppose 2*y - 18 = -v*y. Is (-4)\/(-6) + 552\/y + 1 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 4 - 7*z + 6*z + 2*z**3 - 4*z**2 + 3*z. Let a be b(4). Suppose 0 = a*p - 3*p - 67. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - 509572?\nAnswer: -509545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -50, -89, -142, -215, -314?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 600448704 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l + 12. Let r(j) = 6*j - 13. Let p(y) = 5*d(y) + 4*r(y). Let b be p(5). Solve -3*i - 9 = -b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/(-144) + (-14898)\/180495?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -16*z**5 + 564*z**4 + 18676*z**3 + 1696*z**2 - 360000*z + 89600 = 0?\nAnswer: -20, -5, 1\/4, 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-1020)\/(-32)) + 9*1\/(-72)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 3835308?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 6*t - 11. Calculate p(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 1723643?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28\/20 + 1\/(2\/(-4))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.6 and 147086 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 23196*y + 277920.\nAnswer: 3*(y + 12)*(y + 7720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17199 divided by 45?\nAnswer: 1911\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7*t + 25, 2*k = -t + 555. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71 - (-37023)\/516)*(-40)\/69.\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3984331 or 0?\nAnswer: -2\/3984331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2642 + -2629. Suppose 0*x - 4*x + 56 = 0. What is the remainder when x is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1878 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 363 - 317. What is the remainder when s is divided by (-50)\/(-2) + 2 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a**2 + 11*a + 6. Let y = -19 - -12. Let g(w) = 7*w**2 - 10*w - 6. Let t(k) = y*g(k) - 6*f(k). Give t(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxkkpqkkkqkpqjkkq. What is prob of picking 1 k, 1 p, and 2 q?\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3\/3 + 4*l**2 + l - 4. Give m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:34 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -18. Is 10 a factor of (-4)\/j + 186\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 + -249.2. Let n = 128.2 + f. Let m = -101.3 + n. Round m to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**5*g - 983*b**4*g + 2*b**2*g + 903*b**2 + b*g wrt b?\nAnswer: -180*b**2*g - 23592*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8832 + -8832. Let u(n) be the second derivative of -28*n + 0 + 0*n**3 + d*n**2 - 1\/6*n**4. Let q(b) = -2*b**2. What is u(q(g))?\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1895 - -3009. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*y = -6 + 1, -2*g + 10 = -y. Suppose -j + 12 = 5*s - g, -5*s - 4*j = -31. Suppose 3*i + 2*i + s*m - 635 = 0, -2*i + 254 = 4*m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4184)\/(-1569)*-1*(-9)\/(-2028).\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 14*v**2 + 101*v - 402. What is u(7)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172.821 - 18.009. Let j = -190 - s. What is j rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 215097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52271 and 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y. Let g(b) be the third derivative of 3*b**5\/20 - 17*b**2 - 3. What is d(g(a))?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 0*l - 8 - 2*l. Let s be n(8). Suppose -4*y + s*y = 63200. Round y to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244709643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 177, 4, 1\/60?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4\/4 - 4*l**3\/3 - 5*l**2\/2 + 3*l - 351. Determine i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 1)*(-4 + 5 + 0)*(-23 - 14 + 5)*(-3*t - 2*t + 2*t) as k*t + y and give k.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:23 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -26. Let s = l - -6. Let w be (-4*(1 - 0))\/(-104 - -102). Solve -3*q + 22 = s*a, 0*q - w*a - 2 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighty-seven quarters of a milligram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = 43. Solve 2*w = 2*k - 14, 4*k = k + 2*w + y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Suppose 2*d + 3*d = 5*x, w*d - 45 = -4*x. Suppose 0 = -x*n + 30 - 5. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -12. Suppose -12 = -z - h. Suppose 5*w + z = -14, 0 = 4*l + w - 207. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -u - 4376 + 1845, 5*u = 5*x - 6330. Round x to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.28 + -0.24. Which is the third smallest value? (a) t (b) -4 (c) -2\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-5)\/75)\/((-2)\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5203040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, -201, -4 in decreasing order.\nAnswer: 3, 1, 0, -4, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 189, 73, -89, -297?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -60*-4.35616\nAnswer: 261.3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2942, -3119, -3288, -3455, -3626, -3807, -4004, -4223?\n\"Answer: -w**3 + 10*w**2 - 200*w - 2751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -48. Let n = -2 + 1.9. What is the biggest value in k, n, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -124*k**5\/3 + 13387*k**4 + 171520*k**3\/3 - 1282640*k**2\/3 - 54272*k + 41984\/3 = 0. What is k?\nAnswer: -8, -1\/4, 4\/31, 4, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1132465 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -0, 63 = 5*w + v. Let d be (31 + -3)\/4 - -5. Calculate the greatest common factor of w and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:12 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -490 divided by -1\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 8 + 8 - 16. Let z(n) = -10*n - 16. Let x(k) = -2*k - 3. Let l(a) = -16*x(a) + 3*z(a). Determine l(w(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let d be 0*i\/(-4) - -1. Which is the closest to d? (a) 3 (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4418, 14252, 29510, 50192, 76298, 107828, 144782?\n\"Answer: 2712*a**2 + 1698*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*k**3 - 60*k**2 + 3*k**4 + 24*k - 24*k**4 - k**5 + 4*k**5 + 0*k.\nAnswer: 3*k*(k - 2)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/21)\/((-256)\/(1600\/25))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (2\/3)\/((-2)\/15). Suppose -8*c - 177 + 1833 = i. What is the highest common factor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + 602. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**2. Let t(b) = -4725389*b**2. Determine u(t(c)).\nAnswer: -223293012013210*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1247*i - 9986. Give q(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 3*v**5\/20 + 5*v**4\/4 - 3*v**3 + 2*v + 16. Factor l(z).\nAnswer: 3*z*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226 - -335. Let h = 107 - v. What is the biggest value in -0.1, h, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4416)\/(-160) - 30)*200\/(-30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -2 (d) 2\/5 (e) 626 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -3\/22 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.4, -0.026113, -0.3, 2, 1\/2?\nAnswer: -0.026113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x**(-2))*x*x)\/(x**(-4\/11)\/x)*x**(17\/5)\/(x\/(x*x\/x**6)) assuming x is positive.\nAnswer: x**(317\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = 2*m + v, -3*v - 15 = 0. Suppose 0 = 3*n - 49 + 10. Let t = 49 - n. Calculate the highest common factor of t and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/(-10) - (9 + -15)) + 3.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -37 + 202 - (-1 + 2\/2). Is 4 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2142\/(-1785))\/((-1)\/25*30\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:23 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4462243 (base 8) to base 3.\nAnswer: -2021020111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -365*n**3\/6 + 18*n - 48. Let b(y) = 31*y**2. Determine r(b(f)).\nAnswer: -11315*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.76 - 316162?\nAnswer: -316146.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:59 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 513046 divided by -256523\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8722 and 28?\nAnswer: 17444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 39, 90, 169, 282, 435, 634, 885?\n\"Answer: g**3 + 5*g**2 + 7*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 2\/3, -2, 33, 0.4, -0.2?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -387 + 413 + (-8 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((21\/(-36))\/(-7)). Let n = 41 - 29. What is the highest common factor of n and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0086379 and 28?\nAnswer: -0.2418612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -134400 divided by -35?\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79687, -159389, -239091, -318793?\n\"Answer: -79702*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 844 + -659. Let s(x) = -x**3 - 8*x**2 - 9*x + 2. Let d be s(-8). Let r be d\/((3 - 2)*2). Calculate the highest common factor of m and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 16080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2. Let n = -169 + 171. Let b(k) = -2*k**n + 38 + 38 - 76. Calculate i(b(p)).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 31 = -9. What is the remainder when 64 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - (2 - 2)) + -1. Suppose n*y - 352 = 3*y + 5*b, 1 = b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 12*v + 8. Calculate q(15).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 - 16*y - 18. Let t be l(-16). What is the remainder when t\/(-24) + 401\/4 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-18)\/168)*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7508, -7507, -7506?\n\"Answer: h - 7509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvcvcv. What is prob of sequence cvc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -58. Solve 0 = 2*i + o - 2, o = -q*i + 3*o - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/15 + 8902*f**2\/15 + 8896*f\/5 = 0. Calculate f.\nAnswer: -4448, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -33 + 32 - -6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 2144.\nAnswer: 25728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-7 - (4 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmu when three letters picked without replacement from {u: 1, k: 4, m: 1, x: 3, g: 1, r: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011010010100 - 10?\nAnswer: 110011010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6334 + -2924. Let b = -1945 + p. Let w = b - 4330\/3. Find the common denominator of w and 35\/19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 286\/156 - (-2)\/(-12). Let w = 1.6 - 2. Let z = 0 - 0. Which is the nearest to z? (a) k (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 + o**3 - 4*o**3 - 3*o**3.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**5\/25 - d**4\/5 + 2*d**2\/5 + 2*d\/5 + 7. Let w(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -70*c. Let o(n) = -n + 8 - 34 + 26. What is u(o(m))?\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, -5, -36, 153, 3 in descending order.\nAnswer: 153, 3, -5, -36, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 1. Let j(s) = 1 + 0 + 13*s**2 + 5 - 4*s - 17*s**2. Let i(y) = 2*j(y) - 4*x(y). What is the second derivative of i(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5335? (a) 0.13 (b) -1\/17 (c) 18 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*2*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 11 = 2*s, -3*t + 9 = 3*s + 3. Suppose 0 = -5*g - t*w + 26, -3*g - 4*w + 7*w + 6 = 0. Let v = -14975\/7 - -2143. Which is bigger: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q = -10*q. Find the second derivative of q*z**3 - 6*z - 4*z**3 - 3*z - z**3 wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-6)\/(-20))\/((-258)\/(-299710)*82)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58478108 divided by 104612.\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -1\/485, 8, -2, -23?\nAnswer: -1\/485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189074 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 8\/2531, -24?\nAnswer: 8\/2531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.083989068 + -0.083988468. Let b = -15 - -5. Let x = w + b. What is x rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25\/2*44\/(-198)*2\/5\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 205\/(-9) - 20\/90. Let j = 28 + n. Calculate the highest common factor of j and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18346 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1911?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 34 = -5*v - 4*d, 0 = 5*v - 3*d - 317 + 281 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-3)*(-7)\/2. Let m be s - (2 + -1) - 2. Let x = 45 + m. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -406 + 2044\/5. Let k be (-3)\/5*8\/(-6). Solve f*b**2 + k*b + 2*b**3 + 0 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 8*m**3 - 5*m**2)*(-m**2 + 2*m**2 + 2*m**2).\nAnswer: 24*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4894950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 9*g - 2*g)*(3*g**3 - g**3 - 3*g**3) + (-2*g**2 + 4*g**2 - 4*g**2)*(-2*g**2 + 2*g**2 - g**2) + g**3 - g**4 - g**3 + 206*g**4 - 7*g**4 + 86*g**4.\nAnswer: 278*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 2606098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 21. Suppose 84 = -7*c - r*c. Let h(b) = 5*b**2 + 13*b + 33. Is 9 a factor of h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 89. Let n = -22 + 25. Put 7, y, n in decreasing order.\nAnswer: 7, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 5 (c) 3\/5 (d) 18.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*n**3*y**3 - 428578*n**3*y**2 - 1197*n**2 + 6*n*y**3 - 928*y wrt n?\nAnswer: 126*y**3 - 2571468*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18993*k - 5917. Is d(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/78 - 163\/546. Let a = -4.624 + -0.376. What is the third smallest value in a, -0.3, 3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-28)*(k**(1\/4))**(-50) assuming k is positive.\nAnswer: k**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(133)*2 - (sqrt(133) - 1*sqrt(133)*-1))\/(-4*(-1*sqrt(28))\/sqrt(4))*-3*-3.\nAnswer: -63*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 + 1 = -f, -8 = -2*f + 4*p. Suppose 2*j + 3*d - 8 = 0, 5*j + 5*d - 5 = f. Let z be 85\/(-20) - j\/(-4). Which is smaller: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5433922 millilitres?\nAnswer: 0.0005433922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209 + -97. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpt when three letters picked without replacement from {q: 2, k: 1, t: 1, p: 1, b: 1, m: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 15*y**2 + y + 18. Give o(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238 - -238. Solve c*h = -3*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 524*w**2 - 85*w + 86. Calculate the remainder when g(1) is divided by 271.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5637503 millilitres?\nAnswer: 0.0005637503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 304984\/29 equal to 10517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-8 - (11 - 16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*v + 34. Let l be (v\/3)\/((-4)\/12). Suppose 2*d = -3*d + 5*n, 0 = d + n - l. Solve -2*c - 2*w + 10 = 0, -d*c = -c - 3*w + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 12 - 7 = 3*y, -3*y - 2*j - 11 = 0. Let t be (-4 - (3 + -11)) + y. Solve 2*d + 5*l = 18, t - 17 = -d - 5*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1903, -1629, -913, 467, 2733, 6107, 10811, 17067?\n\"Answer: 37*s**3 - s**2 + 18*s - 1957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:38 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 3*m**7\/140 - 3*m**4\/8 + 11*m**3\/3 - 21*m. Let i(v) be the second derivative of x(v). Differentiate i(l) with respect to l.\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 12) in base 3?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t**3*x**2 + 25*t**3*x + 2*t**2*x**2 - 2*t*x**2 + 2*t*x + 15*t - 552*x wrt t?\nAnswer: 30*t*x**2 + 150*t*x + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049128765 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783 = 73*h - 199 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002 is divided by 121?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222 or -4235\/19?\nAnswer: -4235\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4500)*-2*3 - sqrt(4500))*4)\/((1*-2*sqrt(900) + sqrt(900))*-5).\nAnswer: -28*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = -4. Let u = 2 + m. What is the second derivative of z - z**4 - u*z**4 + 3*z + 3*z**4 wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Suppose -3 = -4*d + 5*p + 20, 0 = -5*d - 4*p - 2. Let i be -4 + (2 - d - 2). What are the prime factors of r(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from {z: 6, g: 7}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c**2 + 1. Let g be k(-1). Let h(t) = -t**2 - 16*t - 11. Let a be h(g). Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12 + 78\/24*1. Suppose -x - x = 0. Put x, b, 5 in decreasing order.\nAnswer: 5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235388 is divided by 529?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65677185?\nAnswer: 3, 5, 7, 208499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 = -1. Let a(w) = w**2 + 2*w + 4. Suppose 4*i - z = 53, 0 = 6*z - 10*z - 20. What is the remainder when a(n) is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243478080?\nAnswer: 2, 3, 5, 17, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (63 - 55)\/((-2)\/(-22)) is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888690974.\nAnswer: 2, 23, 19319369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 86. Let w = i - 22. Calculate the greatest common divisor of w and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 30. Let t be n(-45). Round t to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 bigger than 251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2781 divided by 27?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-5)*(-46 + -4). Suppose -2*r - 3*r = -o. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g = 462 + 246 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - -2*sqrt(114)*6 - sqrt(114))\/sqrt(6))**2 - (((sqrt(285)\/sqrt(5))\/sqrt(3))**2 + 2).\nAnswer: 2715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + 81\/(-21) - 106\/(-42) and (-5)\/(-6)*(-98)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 413*t**2 - 7*t + 10. Let q be i(1). What is the greatest common factor of 32 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-60) - (-45)\/180.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -132324114323?\nAnswer: -132324114344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5 and 38\/119.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542457 = 18*g + 116433. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221424 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 6*f - f - 6*f)*(-2 + f - 3 + 4) to p + v*f**2 + r*f and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozggzgggzgzgg. Give prob of picking 1 z and 3 g.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-4)\/3*279\/12 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, k: 4, d: 2, w: 1}. Give prob of sequence kx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -29066198 greater than or equal to -261595775\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + (sqrt(11) - (3 + sqrt(11))) + sqrt(11))**2 - sqrt(110)\/(1*sqrt(10))).\nAnswer: -33*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56530732 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**2 + 9*q - 47. Let a(n) = 8*n**2 - 9*n + 48. Let u(p) = 4*a(p) + 3*r(p). List the prime factors of u(8).\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.578 to 1 dp.\nAnswer: 67.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + 88*f**2 + 68*f + 104. What is the remainder when k(-43) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-3 - (-8)\/(24\/15)). Solve -v + 4*v - 3 = p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.5+-0.11\nAnswer: 11.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(144\/272) - -93716 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:28 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 2*o. Let s(k) = 8*k**2 + 9*k. Let j(q) = -2*s(q) + 9*v(q). Let t = 17 + -15. Let l(m) = -2*m + t - 2 - 2*m. What is j(l(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 31*d**2 + (-4 + 2 + 1)*(2*d**2 + d - d) + (-5*d + 0*d + 2*d)*(0 + 0 + d)*(6 - 1 - 3).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 equal to 1331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 4:15 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(700) + sqrt(700)*5) + 1)*-1)**2.\nAnswer: -360*sqrt(7) + 226801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/(-7) - 32\/56. Let g(r) = r**2 - 4*r - 9. Let d be g(o). Let w = 6 + -1. Solve -w = -d*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161035 plus 1247?\nAnswer: 162282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 928 - 308. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 366*i + 3264. Give q(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, 2\/17, -41098, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1267244932 - 2*s + 1267244932.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -1084.16924751?\nAnswer: -1079.16924751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14582695 take away -0.0327?\nAnswer: -14582694.9673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3919, -7840, -11763, -15688, -19615, -23544, -27475?\n\"Answer: -o**2 - 3918*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:41 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-23)*l**(6\/7)*l assuming l is positive.\nAnswer: l**(-141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 1, h: 6, k: 1, l: 4}. What is prob of sequence lls?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 71.4005.\nAnswer: -142.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5 + 15*f**4 + 558*f**3 - 4710*f**2 + 7125*f + 12375 = 0. What is f?\nAnswer: -15, -1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 5:50 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:22 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 107\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*g - 8 = 0, -m - 2*m - 4 = -5*g. Suppose 0 = -m*o + o + 59. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 9*u**2 - 24*u - 12. Let m be (13\/((-546)\/72))\/((-4)\/28). Let t be r(m). Calculate the highest common factor of 24 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15*u + 6. Calculate the lowest common multiple of 36 and j(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-60) - (8 - (-4991)\/(-630)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/26315631 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0.4. Let m = -7 - -37\/5. What is the third smallest value in t, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110100 (base 3) to base 2\nAnswer: 100111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*m = 5, 5*m + 8 = -146*s + 150*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.716717ug to tonnes.\nAnswer: 0.000000000006716717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(0*c - 15*c - 10*c + (-c + 6*c + c)*(1 - 4 + 0)).\nAnswer: 43*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 10.906718.\nAnswer: -21.813436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aina when four letters picked without replacement from nanannnaaaianannnna.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {f: 2, x: 2, y: 1, r: 1, e: 1, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4748 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -21*o. Suppose 3*b = 5*i + 4 - 24, 0 = 4*i + 3*b - 16. Let l(y) = 8 + i*y - 5*y - 8. Give c(l(j)).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-245)\/(-875))\/(756\/135)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + u = -319, s - u = -4*s - 1607. Let d = -199 - s. Calculate the remainder when d is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 64 = -2*j + 4*y, -2*j - 4*y - 250 = 254 - 478 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11772 - -11771.8. Which is the closest to 0? (a) -2\/9 (b) -16 (c) u (d) -1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 - -151. Suppose -z = 3*c - 17 - 3, -k*c + 12 = 2*z. Solve -2*i - i = -3, 2*m + c = 3*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6207*c - 3099*c + 41*c**2 - 3108*c.\nAnswer: 41*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x. Let f be b(-1). What is the remainder when -3 - f - (4 - 2) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20344312123302 + -2?\nAnswer: 20344312123300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -619 - -270. Let d = 356 + u. Which is the closest to -1? (a) 0.2 (b) d (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-265)*3*308\/(-462).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*s - 86 + 86)*(-21 - 6 + 8 - 15) in the form n*s + m and give n.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*r**3 - 18 + 18.\nAnswer: -219*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.5 - 13. Let n = -1.5 - h. Which is the nearest to 1? (a) 4 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 15*f - 23. Let s be z(14). Let i(a) = 3*a - 8. Let l(g) = -14*g + 34. Let h(n) = s*i(n) - 2*l(n). Calculate h(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyqyyqqwyqoowqq. What is prob of picking 2 w and 1 q?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 1. Let s(d) = d**2 + 11*d - 8. Give 18*g(l) + 2*s(l).\nAnswer: 2*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -48627601\nAnswer: -3\/48627601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 12*m**2 - 14*m - 16. Let v be j(-13). Let f = v + 6. Let t be 12\/f*4\/16. Which is smaller: t or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254 - 53. Suppose 908 - g = 7*q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 2*t + 1. Let z be y(-3). Let d be 10\/(-10) - 1*z. Suppose -d*j = -5*j. Solve j = -2*u + 3*v + 1, -2*u + 8 = 3*v - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/d**(-22))\/d*d)\/d))\/(((d\/(d\/d**(-1\/9)))\/d)\/d) assuming d is positive.\nAnswer: d**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 870479?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 12. Let b be c(-9). Suppose -b*u - 2*d = -6, -5*u + 2*d + 8 = -u. Let q = 0 + u. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -25*n - 45. Let k be b(-6). Let s = 107 - k. Solve -t - 2*q + 8 = 3, 0 = -4*t + s*q + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let q(o) = 723*o. Give w(q(r)).\nAnswer: -522729*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let z(d) = -d**2 + 7*d - 6. Let s(l) = -2*m(l) + z(l). Let b be s(6). Suppose 5*a + b = 0, -4 = t + 3*a + 2. Solve -2*f + t*f = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiwzwjiijjw. What is prob of sequence ww?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12316261 * -4.\nAnswer: -49265044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*i**6 + 641*i**2 + 7*i**5 - 280*i**6 + 129*i**6 - 98*i**2 wrt i?\nAnswer: 6960*i**3 + 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -1\/720*p**6 + 2*p**2 - 1\/8*p**4 + 0*p + 7\/120*p**5 + 0*p**3 + 0. Let t(q) be the second derivative of s(q). What is t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 351525 + -216886. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/12 and ((-1)\/16)\/((-63)\/4494).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 2*a + 3*a + 5*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - q**3.\nAnswer: q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/5904 and 67\/8200?\nAnswer: 147600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 23 = -5*o, 0 = -0*o + 3*o - t - 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -l + 146. Let g(x) = x**2 - 8*x + 17. Let z be g(7). Let r be (-88)\/l - (-4)\/z. Put 5, r, 1 in decreasing order.\nAnswer: 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 + -0.3. Let s = 0.0402 - 2.9502. Let o = q + s. What is the nearest to -1 in -2, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 161 - 505 = 0. What is the greatest common divisor of 860 and m?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5552\/49, 1\/4, -1 in increasing order.\nAnswer: -5552\/49, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.8764 + -5111.\nAnswer: -5088.1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002774395272 to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r - 648 = -38*r + 3*h, 3*r - 684 = -r - 111*h for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*a + 32*a + 12. Let j = -8 - -13. Sort j, a, -1 in descending order.\nAnswer: j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 107*v**2 + 122*v**2 - 1)*(v + 0*v + 2*v) to q*v + z + x*v**3 + d*v**2 and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17273314?\nAnswer: 2, 263, 32839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**8\/112 + f**4\/24 - 20*f**2. What is the second derivative of r(i) wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25065*m**2 + 49892*m**2 - 25111*m**2 + 3*m**3.\nAnswer: 3*m**3 - 284*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*h + 209*h + 2109 + 718 = -521 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 18*y + 20. Let n(j) = -11*j - 12. Let z(u) = 5*n(u) + 3*w(u). Let l(v) = 407*v. Give z(l(f)).\nAnswer: -407*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**3\/3 - 3*n**2\/2 - 10*n. What is s(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.616066 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (sqrt(1700) - (sqrt(1700) + 0)) + 3*(sqrt(34)\/sqrt(2) - sqrt(17)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*b - 0*b. Let i be (0 - 0)\/(b\/2). Suppose 3*f - 2 = -4*g, 4*f + 2*g + 2 - 8 = i. Solve -f*z - 2 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582045, -582041, -582035, -582027, -582017, -582005, -581991?\nAnswer: -581975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9958.893nm?\nAnswer: 0.0009958893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4891.\nAnswer: 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 22*k - 6. Calculate i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 803\/12. Let c(d) be the third derivative of 0*d - n*d**6 + 2\/3*d**3 - 4\/15*d**5 - 5*d**2 + 0 - 1\/12*d**4. Factor c(j).\nAnswer: -2*(j + 1)**2*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 20 = -3*z, 0 = -2*j + 8*z + 2900. What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1445.21 + -24.79. Let a = -1468.494 - j. What is a rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose -7 = v*n - 22. Solve 0 = -n*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*b**4\/3 - 269500*b**3\/3 + 106552*b**2 + 89088*b - 107136 = 0 for b.\nAnswer: -558, -1, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13195 and 5369?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 divided by -816?\nAnswer: 79\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392537, -392141, -391483, -390563, -389381, -387937?\nAnswer: -386231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 5*u**6\/6 + 6*u**5 + 45*u**4\/4 + 20*u**3\/3 + 262. Suppose c(p) = 0. Calculate p.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*b**2 - 408*b - 362 - 122*b**2 + 410*b to the form w*b + s + c*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.27 + 31.936. Let j = h - 100. Let d = j + 2.014. Round d to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + 1*sqrt(14)\/sqrt(2).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -3)**2 - (sqrt(17) - (sqrt(17) - 1*sqrt(68) - sqrt(17))).\nAnswer: -27*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 502998161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(14\/(-6)*2\/(-7)). Let v = 12 - q. Let f(k) = 15*k**2 + 4*k + 5. Is f(v) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q. Let o(f) = -f. Calculate -20*o(n) - 4*s(n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 597 + -543. Calculate the smallest common multiple of m and 720.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 5*r**2 + 4*r - 10. Let c(f) = f**3 + 2*f**2 + 2*f - 5. Let x(s) = -4*b(s) + 7*c(s). Give x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 - 4 = 0. Suppose -s*p + 8 = -4*p. Solve -2*o = 4*f - p, 3*f + o + 4 = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 - h + 6. Suppose 2*c + 3 + 1 = 5*x, 0 = -4*c - 5*x - 38. Does 13 divide i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120770 (base 9) to base 14\nAnswer: -1c761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293410685 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*h - 8 + 2, -2*h - 8 = -4*w. Solve 42*n - 19*n + 161 = h for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*z = 9*y - 4, -5*y - z + 1 = 0. Let f be -2 + (-3)\/9*y. Sort f, -1, -4 in descending order.\nAnswer: -1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0038 and 0.1158449.\nAnswer: 0.1120449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576 and 960?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713783 to the power of 1\/2, to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 681 - (-5)\/(-2)*(-4)\/(-10). Let o = x + -2039\/3. Solve -1\/3*k**5 + o*k + 0 - 2\/3*k**2 + 0*k**3 + 2\/3*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 680\/25 + -5 + 6\/(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - d**5 - 2*d**5 + 3*d**2 - 2*d**5 - 3*d**2 + (-2*d**4 + 2*d - 2*d)*(-62*d + 84*d + 92*d) + 2*d**5 + d**5 - d**5.\nAnswer: -230*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/16)\/((135\/80)\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264 - 188. Suppose -2*b + a = 2*f, -5*b + 206 = f - 0*f. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*f = -43*f - 11*f + 1045. Is f at most as big as 0.0012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 12. Let j(r) = 3*r**3 - r**2 - r + 1. Let y be j(1). Suppose -5*w = 5*k - 10, 5*w - 5 = 2*k - 6*k. Solve i*s + 20 = y*z, z = k*z - s - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/90 and 0 - 29\/12 - (14 - 20).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1143, 4, 0.17, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose 3*c - 5*g + 23 = 0, -5*c = 2*g - 2 - 1. Let m be (-5 + 2)*c + 0. Solve 5*l + 2 = t*n, 0 = 3*n + l + m*l - 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 28*n + 74. Suppose -37*h - 2792 = -3384. Calculate o(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*f + 8*f = -25, 3*q - 5*f = 40. Suppose 0 = -75*k - 80*k + 63*k + 1564. Solve q = g, 2*a - g = 4*g - k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160186 and 44469?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:35 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 - 111\nAnswer: -111.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 3*f. Suppose -4*x + f = -4. Suppose -4*w - 2*m = -86, 1 - x = w - 4*m. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 65243743316.18.\nAnswer: 65243743315.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.827309 + -0.178791. Let u = t + 34. What is u rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 - 4*u - 15. Suppose v = -t - 5, 0 = 3*v - 2*t - 2*t + 8. Let z be h(v). Solve 0 = -3*r - z - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01255431 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 612*q - 90020. Give z(-246).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118230*0.4\nAnswer: 47292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u = 6. Suppose 0 + 2 = c - u*q, 0 = 5*c - 4*q - 10. Let t = 6 + c. Solve 5*y = -3*l - 14, -2*y = -4*l - 2 - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448)*-1 - (sqrt(17) + sqrt(68) + 3 + 4*-2*sqrt(17)))**2.\nAnswer: 56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b - 5. Let c be (b - -4)\/3 - -2. Solve -c*v + 0*g - g + 8 = 0, 5*g + 36 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.3. Let n(q) = 25*q - 615. Let x be n(25). What is the closest to v in -1, x, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + 154. Let u = -94 + h. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 1138 = t - v, -3*t + 3420 = -v. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.1, 1\/20, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, h: 10, b: 6}. What is prob of picking 3 f and 1 h?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, -3, -1, -38 in ascending order.\nAnswer: -38, -21, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**4\/12 - n**3\/6 + 5*n**2. Let p be u(-1). Suppose 0 = s - 2*x + 7, x - 3 = s - p. Solve -4*r + s*r = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:50 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445 by 275.\nAnswer: 89\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/1674)\/(2\/3). Let a(d) = -8*d**2 - 6*d + 2. Let u be a(-1). Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24484 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 3) in base 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:42 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-9))\/(-2)*(-8)\/16.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 512 and 2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 361770869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 494 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -728.8 + 844. Let k = c + -14.2. Let o = -86.4 + k. What is o rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -807 - -532. Let z = -129 - c. Suppose -13*v - z = -510. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4544 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 7*w**2 - 5*w - 2. Let r(l) = 2*l**3 - 4*l**2 + 3*l. Let h be r(2). Determine f(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1024658*-36\nAnswer: 36887688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - 1)*4\/7. Let y(z) = z**3 - 52*z**2 + 104*z - 180. Let j be y(50). Solve 0 = -r - i + 2, 0*r - v*r + j = -2*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -126*i - 5. Determine n(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.036 in -2, 13, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let k = -2 + 5\/2. Let q(x) be the first derivative of k*x**2 - 1 + 0*x. Give q(c(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose 2*s + 37 + 9 = t*k, -4*s = -2*k + 38. Suppose 3*a + 0 = k. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12199*x**3 - 10*x**2 - x + 10. Let n be z(10). Round n to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - q**2 - q - 1. Let m(n) = -n + 0*n**3 + 0*n + 2*n**2 - 19*n**3 + 3*n - 13. Let j(l) = m(l) + 2*z(l). Find the first derivative of j(s) wrt s.\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*j**3 - 1521*j**3 - 271*j**3 + 2247 - 59*j**3 - 140*j**3 wrt j?\nAnswer: -5988*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + t = -15, -3 = 2*o - 2*t - 9. Let g(p) = -p**2 - 3*p + o*p**2 + 5*p + 2*p + 3. Is g(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*v - 312, 4*v + v + 4*q - 798 = 0. Let w = 22 - 8. Calculate the remainder when (-1)\/(3 + v\/(-52)) is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1\/3)))\/(z*z*z**(-6))*((z**(4\/5)\/z)\/z)\/(z\/z**(-3\/2)) assuming z is positive.\nAnswer: z**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1008 - 719. Suppose 0 = -2*u + 6, -934 = -4*i - u + h. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 32*m + 6*m**6 + 129*m**4 - 172 + 224\/5*m**5 + 536\/3*m**3 + 120*m**2. Determine s so that p(s) = 0.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*l + 2*l - 765, -3*d - 2*l + 456 = 0. Suppose 3*f + 4*o = 4, 0 = 2*f - 3*f + 5*o + 14. Suppose f*h - d = h. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - -1580. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*y + d**3 - 2*d**2*k + 5*d**2*y + d*k*y + 15*d*y + 3*k*y wrt d.\nAnswer: 12*d*y + 6*d - 4*k + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 67317 divided by -13\nAnswer: -67317\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119400 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3784 or 3802?\nAnswer: 3802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -725*-1\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11015461 - -11013806.7546. Let p = s - -1654. Let j = -0.27 - p. What is j rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -5858643225.\nAnswer: -5858643236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y - 35264475 = -4*y. Suppose 11762895 = -9*c + 4*c. Let l = y - c. Round l to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 + -2.76. Let i = 15 - o. Let t = -17 + i. Which is the second biggest value? (a) 6 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1. Let y(l) = 34*l - 17. Let c(i) = -2*s(i) - y(i). Is c(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*w, 3*y + 174*w - 173*w - 19 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 157? (a) 14 (b) 4\/25 (c) 0.3 (d) -0.2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 1. Let i(k) = 1 + 7 + 7 - 10 + 13*k. What is -2*i(v) + 9*j(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 466*p = -463*p + 5, -4 = -4*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = b - 13, -2*u = -4*u + 4*b - 10. Suppose -u*a + 4 = -3*t - 5, -3*t + 31 = 5*a. What is the closest to -1 in -0.1, t, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 - 3*v**2 - 4*v. Let q be f(7). Let i be 6\/10 - q\/5. Suppose -3*n + 459 = 3*o, -o = o + 3*n - i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582682?\nAnswer: 2, 41, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 6*v + 2. Let a be 2\/(0 - 2\/(-3)). Suppose -3*j = -5*o - a, -2*o - 17 = 2*j + o. Determine q(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 - 2832*m - 304128 = 0 for m.\nAnswer: -576, -132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 1013, -204, 4, 2\/19, 2\/9?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1080a3 (base 11) to base 15.\nAnswer: -35d92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -117838, -235190, -352542?\n\"Answer: -117352*t - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14669 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: Subtract 33.183 from -129.\nAnswer: -162.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*b - 5*u, 14*b - 4*u = 9*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8716349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 3. Let m be 14\/(-10) + ((-21)\/(-15) - 1). Let z be f(m). Suppose 7506 = 4*q - z*c - 60, -c = -q + 1891. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67608900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*j + 2882, -4*j - l + 243 - 2536 = 0. Let a = j + 879. Suppose a = 5*h - 3*k, 4*k + 152 = 4*h - 100. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515*z + 67661 = -8089 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174192 and 49362?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c - 158. Let g = -91 + 109. Let f be d(g). Solve t = y + f, -5*y = 2*t - 0*t + 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101034 by 3742.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 24608.\nAnswer: 49216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 0, -4, 702 in decreasing order.\nAnswer: 702, 0, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41000101202 + -1?\nAnswer: -41000101203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-25)*(-5)\/((-30)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + b + 5, 0 = -3*p + b - 7 - 4. Let m be (-5 - p) + (-1 - -7). Find the third derivative of a**3 + a**3 - 2*a**m - a**2 - 2*a**3 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + 2*114\/180. Which is the biggest value? (a) 104 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**8\/36960 - g**7\/6930 - g**6\/3960 - g**4\/8 + 8*g**2. Let r(t) be the second derivative of m(t). Factor r(v).\nAnswer: -2*v*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = 2*v, -2*q - 290*v = -288*v + 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 34*y**2 + 86*y - 29*y + 6 + 7*y + y**3 - 1 + 3. Give c(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -33. Is -39*g\/3*3 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 19 - 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 871 - 397. Let d be l\/66 + (72\/(-33) - -2). Solve 12 = -d*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 40. Calculate k(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i - 26. Suppose -2*k - 26 = 3*v + 2*v, -4*v - 5*k - 14 = 0. Let r be q(v). Solve 2*y + 20 = -3*y - 5*x, 0 = r*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) + (-7)\/5. Let v(g) = -74*g**2 + g + 1. Let l be v(j). Is (l\/8)\/((-3)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 - 7*r + 14. Determine v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**4\/24 - y**3\/6 - 2*y**2. Let t be j(-5). Let s = t + 13. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13.7, -1\/2, -2 in increasing order.\nAnswer: -2, -1\/2, 0, 13.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 31*p**4\/22 + 164*p**3\/11 + 480*p**2\/11 - 64*p\/11 - 1106. Factor v(k).\nAnswer: 2*(k + 4)**2*(31*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 8*r - 6. Let w be n(-9). What are the prime factors of -2 - (-27 + -2 + w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2)*s*s\/((s\/(s\/(s*s**(2\/37))))\/s) assuming s is positive.\nAnswer: s**(35\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**3 - 27474*g**2 - 2385213*g + 2412684 = 0.\nAnswer: -87, 1, 9244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p - 5*p + p)*((0 - 2 + 3)*(-5 + 5 - 2) + 12 + 13 - 9 + (-5 + 4 - 1)*(4 + 0 - 5)) to the form x*p + k and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 225*a - 223*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/10 - i**4\/6 - i**3\/3 + 3*i. Let m be 1 + -6 + 9\/3. Is f(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -5*i - 324. Suppose 0*h - h = s + 1, -2*h = -3*s + 22. Suppose 3*k - i = -c - 2*c, -s*k - 2*c = -50. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(3*a + 3*a - 3*a + (0*a + 4*a - 3*a)*(4 - 5 + 3)) + 0*a - 3*a + 2*a + (-1 - 1 + 4)*(a - 1 + 1) to o + h*a and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 29 + 148. What is the remainder when t is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*d + 49, 4*d + 64*y = 61*y + 41. Solve d = -2*o + 4*l, l + 12 = o + 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/11 - (3 + -1 + -1). Determine k, given that 3*k**2 + k - 31*k + 91 - 19 + l = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*v**3*y + 395314*h*v**2 - 6*h*v*y + 1759*h*v + h*y + h + 11*v**2 + 27*v*y - 2*v wrt v?\nAnswer: 12*h*v*y + 790628*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -4. Suppose -5*p = -u*p + x + 10, 0 = -x. Solve 5 = p*d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -1\/6, 2\/11, 27, -96?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.426 + -0.366. Which is the third biggest value? (a) -2\/9 (b) x (c) 1\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/((-6860)\/(-56)))\/((-10)\/(-14))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4774*z - 2986 + 60154 = -785*z + 5311 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 20. Let i be h(8). Let g be 2\/(i\/15) + -2. What is the closest to g in -1, -2\/9, 4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/11754288 and -89\/1049490.\nAnswer: 58771440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93358, -93201, -92940, -92575?\n\"Answer: 52*i**2 + i - 93411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 2, r: 6, y: 1, w: 5}. What is prob of sequence wp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/420 - 59*o**6\/240 + 383*o**5\/40 - 2715*o**4\/16 + 2025*o**3\/2 + 10*o**2 - 414. Let h(k) = 0. Calculate k.\nAnswer: 2, 15, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 102 + 94 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108780 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -110 + 142*n + 203 - 23*n. Let j(o) = -24*o - 19. Let r(u) = -11*j(u) - 2*p(u). Differentiate r(z) with respect to z.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2 + -2*(sqrt(7) + -1 + sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 3772*l**2 - 7880*l - 302400.\nAnswer: 4*(l - 10)*(l + 8)*(l + 945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1.37 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2*o + 2*i**2*s**2 + 92*i**2*s - 3*i**2 + 18*i*o*s**2 - i - 250*o*s**2 wrt i.\nAnswer: 6*o + 4*s**2 + 184*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/30*138\/(-4). Let b(u) = -u**3 + 24*u**2 - 7*u - 59. What are the prime factors of b(x)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 3*m**2 - 4*m**2 + (-3*m - 3*m + 5*m)*(-490 + 490 + 20*m) - 3*m**2 + 4*m**2 - 3*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328.47611 minus 0.3?\nAnswer: -1328.77611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 + 9*o - 13. Let k(y) = -2*y**2 - 4*y + 6. Let g(t) = 7*k(t) + 3*s(t). What is the units digit of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13939*r + 13982*r - 4267*r to h + p*r and give p.\nAnswer: 23654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/882420 and -48\/23111?\nAnswer: 9706620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 2*v. Let h(w) = -w**2 - 1. Give -h(q) - k(q).\nAnswer: -3*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2774 and 4234.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1230034738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55, 46, 37, 34, 43, 70, 121?\n\"Answer: o**3 - 6*o**2 + 2*o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 987427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -34711*i**3 - 19*i**2 - 10*i + 5. Is r(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -95?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134*-149.\nAnswer: 19966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/2)\/3 + (-246)\/210. Let q be (3\/7)\/((-2)\/(-2)). Let r = w - q. Which is the third smallest value? (a) -3 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36054 divided by 18?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -939*k + 1276*k - 813*k + (0 + 3 + 2)*(2*k + 3*k + k) to h*k + f and give h.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.7 - -12.2. Let k(t) = -2*t + 17. Let v be 12*((-4)\/3 - -2). Let w be k(v). Which is the second smallest value? (a) -1\/5 (b) f (c) w (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 199, 1, 1\/5281, -1\/7?\nAnswer: 1\/5281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228696554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnyycyy. What is prob of sequence yyn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 2*x**2 - 2*x. Let o(v) = 15*v. Let u(h) = -7*h. Let s(q) = -6*o(q) - 13*u(q). Calculate i(s(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 25*t**2 + 5*t + 4. Let z be o(-4). List the prime factors of (-2)\/(-6) - z\/(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 8*r - r to the form h + a*r and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from suuussauuuussua.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**12\/j)\/j**(-11))\/(j*j\/(j**(-3)\/j))**(-4\/13) assuming j is positive.\nAnswer: j**(349\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/15 and 28\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(5*-5*(-2 + sqrt(80)*2 - ((sqrt(80) - (-2 + sqrt(80))) + sqrt(80) + -5 + sqrt(80))))**2.\nAnswer: 3127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.9 and 444.63.\nAnswer: -5291.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l - 11 - 11*l + 6*l + 0*l + 5*l - 3*l + 2*l - l + l + (4 - 3 - 2)*(-2 - 2*l + 2))*(2*l - l + 0*l).\nAnswer: -10*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*z + 444 - 463, -5*a - 5*z - 35 = 0. Let f = 8 - 4. Let g(i) = i**2 - 12*i + 14. Let m be g(11). Sort a, m, -2, f in decreasing order.\nAnswer: f, m, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-5 - 2\/(-2)). Let w = 6 - l. Suppose 0 = -0*n + w*n - 48. What is the greatest common factor of 48 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**6\/40 - a**5\/20 - 3*a**2\/2 + 1. Let w(u) be the second derivative of r(u). Find the third derivative of w(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 5712.4.\nAnswer: 5712.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -75405166\nAnswer: 2\/37702583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -313996050\nAnswer: 1\/104665350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5578 divided by -54915\nAnswer: -5578\/54915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 2493946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -74.\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3875 + 3879. Suppose 4*s - 8 = -0*s. Let n be 0*s\/4 - -3. Solve -o*g + n*g = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 986.388\nAnswer: 49.3194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 386328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2881 + 2881 + 169*r**2 + r**3 - 169*r**2 + 4*r.\nAnswer: r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - ((6 - 23) + (21 - -3))) + -75?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88149985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -16. Let y(x) = 24*x**3 + x**2 - 2*x. What is the tens digit of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -34. Let v be 15\/(-45) + (-104)\/q. Suppose 64 = 3*n - v. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 * -0.00502\nAnswer: -0.42168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 881 (b) 128 (c) 1929\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247*6\/156*-2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -21. Suppose -w*n - 25 = 0, -l = 5*n - 16 - 1. What is the remainder when l is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 157 - 2311?\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165565079.\nAnswer: 3, 7, 47, 131213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -144030 (base 5) in base 14?\nAnswer: -2348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900 divided by 5.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 2*a + 5. Let d(j) = -j**2 - 2*j + 6. Give 5*d(r) - 6*w(r).\nAnswer: 7*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 331621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.2 + 51.8. Let i = s - 59. Which is the second biggest value? (a) i (b) -4 (c) -12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.58 + -0.4. Let u = 0.02 + p. Let d = -168 - -837\/5. Sort 2\/9, u, d in descending order.\nAnswer: 2\/9, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -9449337?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.2 + -25.2. Let f = 2.1 + 57.9. Let j = -52 + f. What is the third biggest value in -2\/13, i, j?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 509724 and 169908.\nAnswer: 509724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 16*z**2 + 31*z + 32. Give o(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5517263.59 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2460*i**4 + 2*i**3 + 4361*i + 1.\nAnswer: -29520*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*w + 7 = -6, -61 = 4*c - 3*w. Let l = -12 - c. Factor -119*g**3 - 354*g - 13122 + 47*g**3 + 608*g**2 - 2*g**l - 1580*g**2 - 5478*g.\nAnswer: -2*(g + 9)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/25 + 0 + 8\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14611465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/8051366 and -79\/18.\nAnswer: 72462294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2. Let l(n) = 10*n. Give u(l(r)).\nAnswer: 800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2))\/u*u*u**(-3\/4)\/u*u*u*(u**(-5\/4)\/u)\/(u\/(u**5*u)*u) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3284c - -b?\nAnswer: 32859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/26 and 28 + (-1120419)\/40500 + -1 + (-6)\/(-9).\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-5)\/(-20)). Let a(y) = y**3 + 5*y**2 - 7*y - 1. Let n be a(x). Solve -4 = -n*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from shhhhhsshsh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((2\/2)\/(4\/(-16)*4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5845 at most as big as -5845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.9 - 19.8. Let s = 8 - x. Let g be 1 + ((-1)\/(-1))\/(-1). Which is the nearest to g? (a) -1 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 38*j**4 - 12*j**3 + 4*j**2 - 485*j. Let y(g) = 2*g**4 + 2*g**3 - 2*g**2 - g. Let w(o) = v(o) + 6*y(o). Find the second derivative of w(c) wrt c.\nAnswer: 600*c**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -15. Solve -j + 3*n = f, 0 = -j - 0*n - 4*n + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + -1 + 1040 + -2 + 3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = 5*j - 30*m - 132, 82 + 127 = 4*j + 9*m + 26 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 35728506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2289.44 times -78.5\nAnswer: -179721.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1141, -2023, -2579, -2809, -2713, -2291?\nAnswer: -1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z + 1291. Is t(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103913.\nAnswer: 103913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*f - 73. Sort f, -4, -3 in descending order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 15*p**2 - 14*p + 34. Let f be j(-16). Suppose -a - f*a = -6*a. What is the units digit of (-6)\/(-2) + 6 + a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -27*c + 2. Let h be z(-4). Let j = -34 + 78. What is the highest common factor of h and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 - 32*j**2 + 40*j + 40. Let k be w(9). Let u(p) = -6*p**3 + 3*p**2 - p - 23. Let c(b) = b**3 - b**2 - 1. Determine k*c(r) - u(r).\nAnswer: r**3 + 2*r**2 + r + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 5*k + 2. Let c be i(3). Let x(z) be the third derivative of -5\/24*z**4 + 0*z + 1\/60*z**5 - z**2 - 5\/6*z**3 + 0. Determine x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -21. Suppose j*y = y + 4. Suppose -t - y = -2*t. Solve 0 = -3*q - t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*m**2 + 2\/7*m + 4\/7 = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41126378 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 89, 151, 233, 341?\n\"Answer: q**3 + q**2 + 38*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 1 f when three letters picked without replacement from frfkrfffttffkftkrq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -264 - 1?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.221 + 2.511. Let h = -18.31 - l. What is h rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(408))\/sqrt(8))\/(-5*(sqrt(6)\/sqrt(2) + sqrt(3))).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -4477705\nAnswer: 44777050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2466*r + 2 = -2463*r + 2*c, -3*c = -3*r - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2799 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*i - 4*l - 8 + 53, -3*i + 3*l + 24 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 597*i**6 - 530185*i**3*p - 2085*i**2*p - i**2 - 5*i*p + 231*i wrt i?\nAnswer: 71640*i**3 - 3181110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 400. Suppose -x + 38 - 7 = z, -5*x + n = -2*z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1807933002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -48*w**2 - 2*w - 3. Let y(d) = -48*d**2 - d - 2. What is -2*c(i) + 3*y(i)?\nAnswer: -48*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 27*z - 32*z - 2*t, -5*t = 3*z - 2. Sort z, 1, 0, -48 in decreasing order.\nAnswer: z, 1, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213 + -5*2\/(-2)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1676 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*d - 137 = -13*d. Is 8\/681 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q + 58. Let w be a(-13). Calculate the remainder when 54 is divided by (276\/w - -9)\/(4\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -1. What is the common denominator of (952\/(-90))\/(-2)*(-45)\/(-36) and -50 - (-1)\/4*y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.071 (b) -16032 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**3 + 3*f**2 + 5*f + 11. Let l(x) = 5*x**3 + 2*x**2 - 2*x - 4. Let k(a) = a + 2. Let j(r) = -5*k(r) - l(r). Determine 5*j(q) + 3*p(q).\nAnswer: 2*q**3 - q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -598, -1, -4, 55, -3.\nAnswer: -598, -4, -3, -1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10107 is divided by 3192.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*o + o**3 - 18*o + 51*o + 3*o**3 - 3*o**3 + 2*o**3 + (-o**2 + 0 + 0)*(2*o - o + o) - o**3 + 3*o**3 - o**3.\nAnswer: 2*o**3 + 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128211.000078789 - -128211. Round q to seven dps.\nAnswer: -0.0000788","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -393.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 10:18 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.10218 to two decimal places.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 445408 and 9429?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 20 (c) -126\/5 (d) 5 (e) 37 (f) -1\/2 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-21)*(6 + (1530\/24)\/(-15))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 7*y**4\/12 - 2*y**3\/3 - 23*y - 4. Let w(b) = 176*b**2 - 99*b. Give -99*o(a) + 4*w(a).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 15. Suppose 4*z - 2*h = 8, -o*h = 6*z - 7*z - 4. Suppose 0 = r + 2*d - 10, -z*r = 3*d + 2*d - 55. Solve n + 4*n = -r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 j when four letters picked without replacement from {m: 10, j: 9, i: 1}.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(4\/9)*s*s*s)\/s)\/s*s**5*s)\/(s**(1\/3))**(-25\/3))**3 assuming s is positive.\nAnswer: s**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.39 (b) -0.2 (c) -0.4 (d) 4679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76940184613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -313 + 316. Let r(z) = -z. Let y(t) = t. Let s(g) = i*r(g) + 4*y(g). Let b(w) = 3*w. Give b(s(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45911880 divided by 2550660?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 9, g: 5}. Give prob of picking 2 g and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - l)*(-1 + 0 + 2) + 2*l + 3 - 3 + (-1 - l + 1)*(-5 + 3 + 0).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let y be 12\/(-54) + (-47)\/(-9). Suppose y*j = 4*d - 5, j - 6*j = -o*d. Calculate the remainder when 19 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49937866 take away -10?\nAnswer: -49937856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2.6. Let z = 2 + i. Let w = -392\/5 + 78. Sort 1\/5, w, z in increasing order.\nAnswer: w, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((12\/42)\/(2\/(-14))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*q + 497 + 63, 2*x - 256 = -4*q. Let a be x\/(-14) + (-6)\/21. Let u be 2\/a - (-32)\/10. Solve 4*g + 2*v = -22, -u*g + 3*v - 34 = 8*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + v + 53 = 0, s = -2*s - 4*v + 54. Suppose 13 = -t + s. What are the prime factors of 1714\/10 + ((-10)\/25)\/t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1242460, 1242354, 1242248, 1242142, 1242036, 1241930?\nAnswer: 1241824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -19. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10001100?\nAnswer: 10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 5. Let c be b(-5). Suppose 1 = -c*o + 16. Suppose -3*s - 3*m + 15 = -m, 0 = -3*m. Solve o*a - 1 = s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -19*u - 107 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 1139274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 537\/9 + 3\/9. Let h = -15 + n. Suppose -2*z - 3*z + h = 0. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199070 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 6*z**2 - 2*z - 16. What is j(9)?\nAnswer: -1249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehh. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 - 4*d**2 - 23*d + 1. Let v be y(4). Suppose -3*n = -5*a - 28, 38*a - v*a + 8 = n. Solve 0 = -p + 2*p - 3*x + 14, p + 2*x - n = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1843, -1468, -817, 104, 1289, 2732?\n\"Answer: -t**3 + 144*t**2 - 50*t - 1936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -63 - (-84 + (-8 - -48))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 2115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5800*i. Let m(a) = 242. Let v(s) = s - 605. Let p(k) = 5*m(k) + 2*v(k). Give z(p(h)).\nAnswer: -11600*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -134 and -1686055?\nAnswer: 225931370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 71416\nAnswer: -5\/71416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1698 - -1698. Let j(x) = x + 7. Let o be j(-5). Suppose -7*h + 16 = -3*h. Solve f = 2*v, v + 6 = h*d + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468044 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: Calculate the least common multiple of 120 and 9960.\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 406 in -46, -4\/7, -6\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/7368 and 59\/200164.\nAnswer: 1200984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24795.89 + -38.\nAnswer: 24757.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 226728.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56872.\nAnswer: 2, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 7*a**4\/24 + a**3\/3 + 5*a**2. Suppose -n - 5*g = 3, -86*n = -85*n - 4*g - 6. Determine r(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089629 is divided by 19804?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-546)*(672\/216)\/(-4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/401 + 4851\/5213. What is the common denominator of (41\/(-2))\/(22\/(-4)) and j?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 17*d - 3. Let n(m) = -231. Let t(b) = 520. Let z(u) = -9*n(u) - 4*t(u). Determine -q(s) + 3*z(s).\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14\/3)\/o**8)\/(o**6)**(-20) assuming o is positive.\nAnswer: o**(322\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.238*0.2\nAnswer: 0.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149336 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*o + 7*u - 78, -40 = 2*o - 4*u for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57179.\nAnswer: 57179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2773 (base 16) to base 12\nAnswer: -5a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-115 - -117 - (-10 + 0 + -5))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (35\/14)\/((-2)\/(-4)). Let b(y) = 22*y - 66. Let c be b(3). Suppose -895 = -u*x - c*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:47 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5) + 81\/45?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-1 + sqrt(637))*-4 + 3*sqrt(637)*1*-2)**2 + 5)*-3 + -2.\nAnswer: -191117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 162, 148, 114, 54, -38, -168?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/315 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2431416 and -35\/22.\nAnswer: 26745576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 857966 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/17, -1.3, 4, -3, -1, -0.13748, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 3, g: 3, z: 10, y: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 318410?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2395*r + 77572 - 8117 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122049479 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33505 - -33504.994209. Round f to four dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 36 + 33*q + 19\/2*q**4 + 0*q**3 + 0*q**2. What is the derivative of m(u) wrt u?\nAnswer: 114*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2676 + 370. Let d = 760 - f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12021200 (base 3) in base 12?\nAnswer: -2290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + f = -13, -7*g = -4*g + 5*f - 19. Suppose 0 = a - 3*p - 309, -g*p - 1209 = 14*a - 18*a. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16881 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/714 and 55\/2.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -692*h + 688*h - 5*o - 2, 3*h = 3*o - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/3 + 12106*u - 290672\/3 = 0 for u.\nAnswer: -18167, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/382906 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*m + 30*m + 2408 + 1867 = 0 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1442.35993 - -1442.2. Let a = k + 0.16. What is a rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 428*u**2 - 12751*u + 7775. What is f(-456)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*k**3 + k + 22?\nAnswer: 15*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 39*l**2 + 145*l + 149. Calculate w(-35).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41 * -6\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 16\/110125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n**5 - 3299*n**4 - 7452*n**3 + 24404*n**2 + 7504*n = 0. What is n?\nAnswer: -469, -4, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -29*m. Suppose -33*t + 29*t = -8. Let y(w) = 0*w**t + 7*w**2 + w**2 - 7*w**2. What is v(y(p))?\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Suppose 17*a = 52 + 50. Suppose o + 21 = 4*o. Let d(b) = 1 - 6*b - o + a. What is d(w(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**3 + 11*c**2 - 26. Suppose 3 = 3*w - 3*d - 0, -25 = -4*w - 3*d. Let k(y) = y**3 + 2*y**2 - 5. Calculate w*n(z) - 22*k(z).\nAnswer: 2*z**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75\/11 - 3 - (-12)\/66 and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - s**2 - 3 + 1)*(3 - 3 - 5*s + (-1 + 2 + 0)*(2*s - s + 0*s) - 10*s + 0 + 7*s + 2) as l*s**2 + d*s + c + q*s**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)\/(5\/(-180)*(15 - 13)). Solve -17 = -v*c + 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-30*(-20)\/(-1400).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19281183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12*k + 15 + 18 + 31 - 64. Let v(u) = -202*u**2. Determine v(q(t)).\nAnswer: -29088*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:26 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 5*c**3\/6 + c. Let m(n) be the third derivative of 6*n**2 + 0*n**3 + 0 + 0*n + 0*n**4 + 1\/60*n**5. Give i(m(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -23*q + 486. Let g be p(21). What is the fourth biggest value in 3\/8, g, -0.1, 302?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1687 divide 1317560496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-2*k**2 + 3*k**2 - 2*k**2) + (0*k + k - 3*k)*(7273*k - 101 - 283 + 384).\nAnswer: -14544*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 134*p**2 + 854*p + 59707. Calculate k(-131).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262663 divided by -5.\nAnswer: 262663\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cww when three letters picked without replacement from {c: 10, w: 2, h: 3}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 473*f**4 + 8*f**3 + 8*f**2 - 51. Let b(a) = -12771*a**4 - 215*a**3 - 215*a**2 + 1376. Let g(m) = 8*b(m) + 215*o(m). Differentiate g(j) wrt j.\nAnswer: -1892*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 24. Let g be z\/(-1 + (0 - -2)). Solve -i + 10 = -g*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 78 + -5 + -7 + -40 - 21.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = -1. Suppose -f*i - 14 = -j, -j - 4*i + 10 = -7*i. Calculate the greatest common factor of 242 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2372610, -2372609, -2372608, -2372607?\n\"Answer: l - 2372611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:49 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/11)\/(3\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**34*s*s*s**(-2\/7)*s)\/(s*s*s**32*s*s\/(s\/((s*s**(-22)*s)\/s))) assuming s is positive.\nAnswer: s**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 + 42*s. Let k(m) = 245*m. Calculate x(k(b)).\nAnswer: -180075*b**2 + 10290*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054 is divided by 481?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/377700 and -97\/37770.\nAnswer: 377700","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2 - h - 1. Let u be a(-1). Let d be u\/3 + (-20)\/(-6). What is the units digit of 17*2 + 8\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - -0.3. Let i = -0.0337 + -0.4423. Let w = -0.876 - i. What is the closest to x in w, -1, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 - 8348*f**3 + 228256*f**2 + 4842768*f = 0 for f.\nAnswer: -14, 0, 42, 2059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from {z: 3, h: 7, n: 4, j: 1, k: 1, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12002012 + -1?\nAnswer: -12002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -0.1601?\nAnswer: 0.6601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anu when three letters picked without replacement from {g: 1, n: 2, u: 3, q: 3, a: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 67. Solve -z + 2 + b = g, 2*z + 4*g = 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 7*y - 6. Let a be t(-5). Suppose 0*m - s = -a*m + 5, 4*m - 20 = -4*s. Let j(x) = -7 - x - m*x + 2. What is j(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2500 - -114?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7509*c - 3. Let w(h) = 14996*h - 7. What is 7*l(b) - 3*w(b)?\nAnswer: 7575*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1162 + 2157 - 995 + 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*b - 1584 = 338*b. Let z = 1844 - b. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 69?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -232, -466, -700, -934, -1168?\n\"Answer: -234*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 5*w**2 - 6*w + 1. Let c be d(6). Suppose 0 = -2*z - 2*v, z - 16 = -0*z - 5*v. Let q = -5 + 6. What is the closest to c in q, 3, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1485.\nAnswer: -2970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**0*v)**(-2\/95)*(v*v**(2\/3)\/v)**(-35\/3))**(-49))**(-5\/3) assuming v is positive.\nAnswer: v**(-327614\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79735 + 398726\/5. Factor -6\/5*t**2 + u - 99\/5*t.\nAnswer: -3*(t + 17)*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 11*k - 4. Let v(p) be the first derivative of -p**3\/3 + p**2\/2 - p + 3589. What is r(f) - 4*v(f)?\nAnswer: 3*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5.17, 26966 in ascending order.\nAnswer: -5.17, 4, 26966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - n - 436 = 0, 3*r + n + 226 + 102 = 0. Let z be (2\/(-10))\/(r\/(-90)). What is the third smallest value in -3, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55.9 + -56. Let i(t) = t - 3. Let c be i(5). Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-53 - 0 - (15 - -10 - (-22 - -54)))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*i = -4, 14*y = 13*y - 4*i - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 57139263 divided by -15009\nAnswer: -3807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 24*g - 33*g. Let i be -10080*g*(-5)\/(-3). Round i to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n - 5. Let i be m(2). Solve -4 = -3*t - i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 101130032?\nAnswer: -101130033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*q**2 + 41*q + 36*q + 38*q - 155*q + 42*q.\nAnswer: -233*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 24*f + 128 = 4*p, 0 = -4*f + p + 133. Solve 0 = -6*y - 5*y + f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 2. Let y be c(4). Let h be 4\/y + (-21)\/(-9). Let s = h - 6. Let j(a) = -a**3 - 2*a**2 + a - 1. Give j(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k - 14 = 72*k. Let z(h) = 4*h - 1. Calculate z(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -347158*q + 932626 with respect to q.\nAnswer: -347158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 9) + (-4 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -27*d**4 + 486*d**3 - 5796*d**2 + 5307*d + 15. Let z(y) = 7*y**4 - 121*y**3 + 1449*y**2 - 1327*y - 4. Let x(h) = 4*f(h) + 15*z(h). Factor x(l).\nAnswer: -3*l*(l - 21)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-20) - (-94986)\/(-4). Let n = w + 46648. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, -6, 2, -4.32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.02945, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/13 + 14*q**2\/13 + 34*q\/13 + 18\/13 = 0. Calculate q.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*k = -469*k - 24024 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -33*s**3 + s**2 - 8*s - 4. Let t be u(-3). Suppose 208 = 12*y - t. What is the highest common factor of 141 and y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 0 (c) 6 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/5 + 772*d\/5 - 2307\/5 = 0 for d.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(136) - (sqrt(136)*-3 + sqrt(136))) + sqrt(136)))\/((sqrt(8) - -1*sqrt(128)) + sqrt(968)*2).\nAnswer: 56*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939486602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3901 and 2324.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350 != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/21 - (-68)\/(-102).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a19a0 (base 11) to base 5.\nAnswer: -1144211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143695164.\nAnswer: 2, 3, 43, 278479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031310 + 10?\nAnswer: 1031320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213237 is divided by 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/15)\/((-26)\/260). Put p, 2\/27, -0.3 in ascending order.\nAnswer: p, -0.3, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n**2 + 85 - 31 - 25*n**2 - 54.\nAnswer: -59*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(28)*3)\/(2*sqrt(36)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218778*f**2 + f + 30298*f**2 - f - 317717*f**2.\nAnswer: -506197*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 1:30 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 309585842.9 rounded to the nearest 10000?\nAnswer: 309590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a factor of 223367246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37710, 37709, 37708, 37707, 37706, 37705?\n\"Answer: -h + 37711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1050704.\nAnswer: 5\/1050704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 1\/2*v**2 + 1\/3*v**3 - 3 + 0*v. Factor m(s).\nAnswer: s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56.892801 - 32.8928068. Let v = t + -24. Round v to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.9419 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20768\/25960)\/(2\/(-210)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496010 and 9650.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-11) - (-45 + 1). What is the units digit of u + 1 + 3 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 21 = 2*g + u, 4*g - 39 = -3*u. Solve -5*w + 2 = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-192)\/14*2016\/(-864). Let j(g) be the third derivative of 1\/90*g**5 + 0*g + 0 + u*g**2 + 5\/36*g**4 - 2\/3*g**3. Let j(x) = 0. Calculate x.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + y**3 - 4*y + 4*y**2 + 2 - 9 + 3*y**3.\nAnswer: 4*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3325*d**3 + 3374*d**3 + 3373*d**3 - 10074*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101275148 rounded to five decimal places?\nAnswer: -0.10128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*a - 2*d + 14, -4 = 2*a - 4*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 10 - 3*i**4 + 15*i**3 - 6*i - 9*i - 1 - 3*i**2 - 3*i**4 = 0. What is i?\nAnswer: -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*c - 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*n*r*y - 76*n*y**2 + 34*n*y - n - 427*r*y**2 wrt r.\nAnswer: 17*n*y - 427*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 + 2 = 0. Let m be (-10)\/h - 1\/(-3). Suppose -5*w + m*k = -0*k - 49, -2*k + 61 = 5*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 976858802 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26706487*j**2 + 4822471*j + 10.\nAnswer: 53412974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 11*l**2 - 13*l + 14. Let n be b(10). Let s be (-150)\/(-4)*(-14 - n). What is the greatest common divisor of 175 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150 or -486?\nAnswer: -486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let o be h(-5). What is the derivative of -4 + o - 2*t**3 + 0 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 2895*i**3 + 5*i**2 - 7*i + 8 wrt i.\nAnswer: -240*i**3 + 17370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j + 236 = 0. List the prime factors of j.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.59.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/42 and -5\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 149 = -2*m, 0*r - 2*m = r - 51. Suppose -554 = 100*g - 3354. Calculate the least common multiple of r and g.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14383389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-4) - 10\/(-40). Let h = -17\/4 + q. Which is the smallest value? (a) 0 (b) h (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 208\/3. Let x = -35 - -14. Let o be (-1 - 3)*(-7)\/x. Put m, -2\/11, o in descending order.\nAnswer: m, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -p - 2*p. Let y(g) = -1 + 3 + 0*g + g**3 - g - 3. Let l be y(-1). Put l, -3, p in decreasing order.\nAnswer: p, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -k - u, -2*k = -0*k + 3*u + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102226 is divided by 3930?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1508\/42 + 6003 + -6039?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -3.8. Suppose -5569 = 379*g - 5190. What is the biggest value in g, l, 0, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169\/5 or 35?\nAnswer: 169\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1194*y**3 + 32*y**2 - y + 115570?\nAnswer: 7164*y + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0343 - -877693\nAnswer: 877693.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 0 (c) -3\/35 (d) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.3554 + 707766.\nAnswer: 707712.6446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13783 - 4\nAnswer: -13787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10585, -10597, -10619, -10651, -10693, -10745?\n\"Answer: -5*d**2 + 3*d - 10583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*c + 10, -2*c - 5*a = c - 14. Let u be 3\/5 + c\/10. Sort u, 4, -0.3 in descending order.\nAnswer: 4, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 + -0.5.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:28 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, q: 3, c: 2, t: 10}. Give prob of sequence tctb.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15610 divided by 2?\nAnswer: -7805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -88*c. Give l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 11130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/42*(-2 + -4). Suppose -5*c + s + 5 = 0, -5*c - 17 = -6*c - 3*s. Is 1\/c*424\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 8) to base 10\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7001, 14003, 21007, 28013, 35021, 42031, 49043?\nAnswer: 56057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 - 4440*h**2 + 967680*h + 8028160 = 0. Calculate h.\nAnswer: -8, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from goggf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f - 3*z + 138, 64 = 2*f - z. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 2*z**5\/5 + 7*z**4\/12 - 5*z. What is the third derivative of o(s) wrt s?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*v + 15, 0*p + 15 = 5*p + 2*v. Suppose 5*j - 171 = 2*j + 3*y, -3*j = p*y - 171. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*b**4 + 14*b**2 + 2*b - 20*b**2 - 3*b**4.\nAnswer: 2*b*(b + 1)*(2*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 738 and 368946.\nAnswer: 15126786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let h = -2176 - -2176. Let s(r) be the third derivative of 0 + 0*r**3 + h*r + r**2 + 1\/12*r**4. What is s(i(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 13. Suppose 3*j = 2*j + 2. Suppose 0 = -j*r + 2*s + 22, 3*r - 45 = -r + 3*s. Calculate the greatest common divisor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2 (c) -23 (d) 11\/26 (e) 1\/4 (f) -4\/15 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 25614 (c) 0.3 (d) 2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 504 = 5*x - 3*i, -3*x + 5*i + 126 = 0. What is the highest common factor of 39774 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s + 961 - 2*s - 20*s.\nAnswer: -s + 961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 275621\nAnswer: 1\/275621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 4*k + 2*j - 8, 0 = -4*k - 4*j + 32 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82670232791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2276 - 1141 = -3*u. Let t = 1382 - u. Suppose -2*w + 54 + 0 = 0. What is the highest common factor of w and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1043333 + 1047038 - 4*a - 2090371 - 2*a**2 + 4*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.8707513 and -325723.\nAnswer: -325709.1292487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65547866.\nAnswer: 2, 32773933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 339.5 + -340. Let r be ((-8)\/(-10))\/((-230)\/25). Which is the smallest value? (a) 3 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2195885*a**2*w + 43436*a*w wrt a.\nAnswer: 4391770*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -p + 6*p. Let l(u) be the third derivative of -u**4\/24 + 2*u**3\/3 + 2*u**2. Calculate l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2) - 1449\/(-42)) + 22\/(-88)*-28?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 2\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999.8876 nanoseconds in minutes?\nAnswer: 0.00000003333146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -31 + -1 + 19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323310233 - -1031?\nAnswer: -323303202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1363, 2673, 3983, 5293?\nAnswer: 6603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c235c (base 16) to base 15.\nAnswer: 3c2126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/(-420))\/(180\/(-150))*14\/72. Let t(x) be the second derivative of -23*x + n*x**4 + 1\/160*x**5 + 0*x**3 + 0*x**2 + 0. Factor t(o).\nAnswer: o**2*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(22)*1)\/(sqrt(128) - (sqrt(128) - (sqrt(128) + (sqrt(128) - (sqrt(128) + 2*sqrt(128)))))).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.20903 hours to milliseconds.\nAnswer: 277952508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 158\/(-42) + (7 - (-2 + 6)). Do a and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736)*-1 - sqrt(2736)))**2 + sqrt(2736) + (sqrt(57) + sqrt(399)\/sqrt(7) - sqrt(57))\/sqrt(3).\nAnswer: 13*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -1, 4, 11, 20, 31, 44?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (27 - 1) - (-1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*x = -1165 + 434 - 889. What is the least common multiple of x and 7556?\nAnswer: 37780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(6) - sqrt(6))*1)\/(sqrt(4)\/(-2*sqrt(32))))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-7) + -1)\/(14\/(-294)). Which is the nearest to -4\/3? (a) 3\/5 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 143*v**3 + 111*v**2 + 4. Let b(m) = 1715*m**3 + 1330*m**2 + 49. Let k(o) = 4*b(o) - 49*u(o). What is the third derivative of k(d) wrt d?\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*t + 23 = 4*x, t + 4 = x. Let a(v) = v**3 - 3*v**2 - 2*v. What is the least common multiple of a(4) and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (3 + -1 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 5 (b) 0.06 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 - (2 - (-35)\/(-3)). Let r = 15 - s. Suppose -2*n + r*n - 81 = 0. Calculate the lowest common multiple of n and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/6 - 289947*k**3\/2 + 1014824*k**2 + 3479392*k\/3 = 0?\nAnswer: -869848, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129069 by -6.\nAnswer: -43023\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)\/u)\/(u\/(u*u\/((u**(-2\/29)\/u)\/u)))*u*u*u**(-2\/13)*u**(5\/12) assuming u is positive.\nAnswer: u**(-21119\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 16*l - 7. Suppose 3*k + 0 = 18. Let z(q) = q**4. Let g(j) = -1. Let m(i) = k*z(i) + l*g(i). Differentiate m(w) wrt w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350000 rounded to the nearest one hundred thousand?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1578*j + 703*j + 186*j - 248*j - 200*j as i + c*j and give c.\nAnswer: 2019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12349800 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 + 3*i - 7. Let l(t) = 2*t**2 + 3*t - 3. Let r(u) = -u**2 + u - 3. Let k be r(0). Let p be l(k). Is n(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**3 - 12*b**2 + 29*b - 49. What is u(6)?\nAnswer: 989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 25. Let d be 13*(-2 + 3\/3). Let o be b(d). Let p = o + -16. What is the remainder when p is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -25*s**3 + 11*s**2 - 13*s - 22. Let z(h) = 13*h**3 - 6*h**2 + 6*h + 12. Give -6*t(j) - 11*z(j).\nAnswer: 7*j**3 + 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m)*(-3*m**3 - m**4 + 3*m**3) + 100*m**4 + 19*m**5 - 100*m**4 + (-4*m + m + 4*m)*(-42*m**4 + 11*m**4 - 4*m**4).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let c be u\/(-1) + 1 - -1. Suppose -9 = -c*j - j. Solve -h - 3*p + 14 = 0, 0*h - j*h - 5*p = -30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 - 20*h**2\/3 + 8*h\/3 + 80\/3.\nAnswer: -2*(h - 2)*(h + 2)*(h + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-12)\/18*(-33)\/(-77)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1613662428 to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3527117 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8517780060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2257*w.\nAnswer: 2257*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 740924551*s**4 - 764885960 wrt s.\nAnswer: 2963698204*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -145*k + 2902. Let z be a(20). Solve -z*f + f - 4*o = 9, 2*f - 4*o - 18 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12548 (base 13) to base 16\nAnswer: -8444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, m: 1, i: 1, k: 1}. What is prob of picking 1 k and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 4:42 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 34*x**2. Let m(y) = -2*y + 24. Let n(z) = -z + 5. Let d(b) = -2*m(b) + 11*n(b). Determine o(d(p)).\nAnswer: 1666*p**2 - 3332*p + 1666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 4900?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f - 4. Let b be a(4). Let n be (8\/b)\/((-12)\/14). Let p = 11.18 - 10.98. What is the nearest to -2 in 0.16, p, n?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3007054.0099 + -3006909. Let r = l + -145. Round r to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2541 and 7490505.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 0.5, 2\/5.\nAnswer: 0.3, 2\/5, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**4*y + 17*r**2*y + 2*y + 106 wrt r.\nAnswer: -16*r**3*y + 34*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*o + 21845 = -29*o - 13*o. Calculate the highest common divisor of o and 3341.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j + 296. Let y be n(-14). Sort y, -44, 13 in decreasing order.\nAnswer: 13, y, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 + 19666*k**2\/9 + 17765152*k\/9 + 4218482816\/9.\nAnswer: 2*(k + 488)**2*(k + 8857)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13634 + 14939. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) 0.5 (b) 2\/7 (c) -23485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23603 or 79?\nAnswer: 23603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 12629895.20286?\nAnswer: -12629895.10286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/5 + 3\/(((-206)\/(-5047))\/(4\/(-10))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-0.3899\nAnswer: -3.3899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46809 divided by 7?\nAnswer: 6687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552969.64 rounded to the nearest one thousand?\nAnswer: 3553000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -646\/7 + 92. Let s be 0 + -2*(-2)\/(-8). Which is the third smallest value? (a) 2\/11 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7355*b**2*n**4 + 37*b**2*n**2 + 2*b**2*n - 92*b**2 + 113*n wrt n?\nAnswer: 88260*b**2*n**2 + 74*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 160, 124, 64, -20, -128, -260, -416?\n\"Answer: -12*s**2 + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -14, -12, -11, 3 in decreasing order.\nAnswer: 3, 1, 0, -11, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 199 in -2, -5, -0.5, 2\/5, -1086?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -104*y - 37 - 40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4 + 29\/4)*(34706\/(-402) - -87).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 6. Let c = 6 + -4. Let g(j) = j - 5. Let b(d) = c*q(d) + 3*g(d). Let m = 13 - 17. What is b(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002296145624 to 7 decimal places.\nAnswer: 0.0022961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 3:25 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/6)\/(3346\/717) + 164\/(-56)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 367716726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45049\/10 - 4511. Let p = -16545404 + 7842513689\/474. Let k = p - -24\/79. What is the common denominator of k and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 1, q: 4, e: 1, h: 3}. What is prob of sequence eh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h + 2 = 0. What is the greatest common factor of h and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 + 38. Let x = -151 + o. Solve x = 6*m - 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 4*s + 5. Let r be o(3). Let a be (-5)\/(-10) - (-3)\/r. Let g be (2\/35)\/(a\/(-40)). Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262370556?\nAnswer: 2, 3, 7, 347051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27212, 27146, 27036, 26882, 26684, 26442?\nAnswer: 26156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61\/11 in 3\/757, 2\/25, -1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2441 smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/14)\/((-605)\/1694))\/((-64)\/(-160))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 8*b - 13*b + 4*h, 5*b - 11300 + 11355 = -2*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 17 = 18. Let i be k - 5 - (-120)\/(-54). Put i, -1\/5, 2\/53, 2 in ascending order.\nAnswer: i, -1\/5, 2\/53, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.258 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1593\/(-2124)*12\/39\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w. Let x(g) = 148*g. Let l(j) = -4*j - 6*j - 6*j. Let a(c) = 33*c. Let y(t) = -6*a(t) - 13*l(t). Let q(p) = -6*x(p) + 88*y(p). Determine v(q(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t - 5. Let w be k(-4). Let r be (104\/(-16))\/(w\/(-1)). Let a = r + 7. Sort -4, 2, a in decreasing order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04888365 + -205?\nAnswer: -205.04888365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119, -206, -349, -548?\n\"Answer: -28*h**2 - 3*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 926.\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1876 - 49*m - 1876)*(0 + 3 - 2)*(-2*m - 1 + 1).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1142900 and 269500.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((768\/(-16))\/(-1152))\/((-4)\/2).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + -2 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016379 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9514050 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + h = -27, -3*h - 277 + 286 = -3*r. Put -11, -7, -1\/5, r, 0.4 in descending order.\nAnswer: 0.4, -1\/5, r, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let s(h) = -1544358*h. Determine s(d(z)).\nAnswer: -1544358*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, y: 3, o: 2}. Give prob of sequence yyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -66b (base 14) in base 10?\nAnswer: -1271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 2*n**2 - 7*n - 1. Let w(d) = -d**3 - d**2. Let q(g) = p(g) + w(g). What is the tens digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/7)\/((s\/(s\/s**(-1\/3)))\/s)*(s\/s**(-2\/21))\/(s*s**(1\/13)))\/((s**1*s)**(2\/19)*(s*s**(-3\/5))\/(s**6\/s)) assuming s is positive.\nAnswer: s**(50867\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045929392 rounded to 6 decimal places?\nAnswer: -0.004593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0175989 rounded to 4 dps?\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8886 is divided by 1755?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4734*n + r + 2 = 9471*n - 4733*n, -56 = 5*n + 2*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 5. Let c be v(4). Calculate the highest common factor of c and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o, j = -117*o + 113*o + 3338. What are the prime factors of j?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2794 - 11175\/4. Which is the nearest to 0? (a) 0.4 (b) w (c) 0.8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:43 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avar when four letters picked without replacement from arvarrrrrvrrrrrarrrr.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 202919651 to the nearest ten thousand.\nAnswer: 202920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012276 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56911, 113742, 170573, 227404, 284235?\nAnswer: 341066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256378 is divided by 256144?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3065 is divided by 510.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2768612*n + 2369804.\nAnswer: 2768612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*z**3 + 52*z**2 - 4*z - 51*z**3 + 42*z**2 + 4*z**2.\nAnswer: -2*z*(z - 1)*(47*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.44 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l + 16. Let m(a) = 8*a + 15. Calculate 7*m(n) - 6*y(n).\nAnswer: 2*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/40)*b*b)\/b*b*b**(3\/13)*b*b*(b**18\/b)\/b**(-18) assuming b is positive.\nAnswer: b**(20387\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124692\/145 or -859?\nAnswer: -124692\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73078 + -73062. Suppose -40 = -2*s - 0*s. Calculate the lowest common multiple of v and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861785503 to the power of 1\/3, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(48) + -3*sqrt(3) + 1)*-3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 40 + 52*t - 10*t**4 + 11*t**4 - 3*t**2 + 6*t**2 in the form j*t + n*t**2 + r*t**4 + k + i*t**3 and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let h be k(-1). Let j(p) = -50*p - 1. Let c be j(h). Let d = c - 25. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1597 (base 12) to base 3\nAnswer: 10111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*g + 8, -w = 5*g - 196 + 206. Suppose -2 = -i, -2*i + 10 + 0 = 3*t. Factor w - v + 1\/2*v**t.\nAnswer: v*(v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 61983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 2. Suppose -4*w + v - 34 = 0. Let h(b) = b**2 + 5*b - 9. What is the units digit of h(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1944 - 8466. Round y to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 84416*p - 3 - 84418*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -116. Let d = k - -94.9941. What is d rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*o - 9. Suppose -2*u - 3*f + o = 0, -u = 4*f - 21 + 3. Let b be (-3 - (-3 + 3))\/(2\/(-8)). Solve 0 = 3*k - i - 9, 2*k + u*k - b = -3*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-149 - -74) + 88 - (32 + 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 2, b: 2, z: 1, a: 2}. What is prob of sequence qqaz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4243.206 years?\nAnswer: 50918.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 8*s**3 + 7*s**3 - 7*s**4 - 15*s**2 + 5*s + 9*s**4 - 7*s**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.047386 milligrams to tonnes.\nAnswer: 0.000000006047386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -91*a + 274*a. Sort a, 12, 1, 0, -3.\nAnswer: -3, a, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124373 and 449?\nAnswer: 124373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*a + a. Let p(f) = f + 8. Let o(u) = -8. Let m(r) = 4*o(r) + 5*p(r). Is m(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 9 = -g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -63*r + 662. Is 4 a factor of w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-40))\/((-18)\/105)*(-2456)\/2763\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -23121030232?\nAnswer: -23121030302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3804, 3819, 3848, 3897, 3972, 4079?\n\"Answer: t**3 + t**2 + 5*t + 3797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/5)\/(32\/(-80)). Suppose 5*r + t = -1. Let x(k) = -6*k + 3. Let v(s) = -5*s + 2. Calculate r*x(m) + 4*v(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-3 + -3)) + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6130 = 6131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 151*b - 17. Let s be g(9). Suppose -3*o - j + s = 0, -4*o - j = 2*j - 1796. Let q = -239 + o. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - -17. Suppose -4*t + o = -2*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(200)*1*-2.\nAnswer: -100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46660.67l?\nAnswer: 46660670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16228301 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -629*n**5 + 984*n + 799*n**5 + 0*n**4 + 0*n**4 - 582*n**5 wrt n?\nAnswer: -8240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.28 + -7.25. Let f = -0.03 + x. Let p = -2 + 1.5. What is the biggest value in p, f, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3)\/(3\/47169). Let l be a\/5 - 1\/(-5)*-1. Does 19 divide (-6)\/9 - l\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/42*5\/(50\/35).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 21*i + 270. Give d(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1803084.57 hours to weeks.\nAnswer: 10732.64625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - ((-27 - -14) + 29 + -26).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-15)*(-2)\/((-12)\/15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 + 5)*3 + 646 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a week in minutes?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 22, 72, 160, 292?\n\"Answer: q**3 + 10*q**2 - 19*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/391429074 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17755 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 s, and 1 l when four letters picked without replacement from slwolzswwswelswwollw.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = -5*t, t + 2 = 11*l - 7*l. Solve 2*w = -3*p + 19, -2*p + 3*w + 4 + l = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.99 + 0.01. Let u = -0.983 + -0.017. What is the biggest value in 0, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5330 + 2361?\nAnswer: 7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 51. Let p be (-3 - y\/(-12))\/(2\/15). Let g(v) = -v + 1. Let s be g(-5). Solve f = p - s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*j - 790012, -h - h + 3*j - 789991 = 0. What is h rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(1088) - ((3 + sqrt(1088) - sqrt(1088)) + sqrt(1088) + 0))**2.\nAnswer: 192*sqrt(17) + 17417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174.86 rounded to the nearest ten?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 12:30 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68683 is divided by 212.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5024 and 122624?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -30*t**2. Let x be (-6)\/21 + 4874\/7. Let g(l) = x - 2*l - 696. Calculate g(d(o)).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*r + 6400143 = 6406374 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {q: 8, d: 1, j: 2, w: 1, e: 1, a: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1994*t**3 + 1396*t + 3993*t**3 - 1992*t**3.\nAnswer: 7*t**3 + 1396*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26915483 times -0.1?\nAnswer: 2691548.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -254*l**7\/7 - 130*l**3\/3 - l**2 - 381. Find the third derivative of z(g) wrt g.\nAnswer: -30480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 49. Let d be 120\/(p\/(-20000)*2). Suppose -47*b = -42*b - d. What is b rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(2\/3)*c\/(c\/(c**(-1\/5)\/c))*c*c*c\/(c\/((c\/(c\/((c*c**(-6)*c*c)\/c)))\/c))*c assuming c is positive.\nAnswer: c**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50811?\nAnswer: 3, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h. Let v(t) = 261*t**2 - 72*t + 72. Let c be 1292\/(-18) - 14\/63. Let r(f) = 18*f**2 - 5*f + 5. Let o(s) = c*r(s) + 5*v(s). Determine d(o(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1528 + 1525. Let p(g) = 2*g + 8. Give p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 3201716?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-30)\/m)\/(m**(1\/4)*m)*(m\/(m\/m**(11\/2)*m*m)*m)\/m*m**(1\/12) assuming m is positive.\nAnswer: m**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76245603171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*x - 4, -2*x + 434 = 37*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 8*k + 5. Suppose -5*w + 2*b + 44 = 0, 9 = -4*w + 5*b + 51. Let v be i(w). Suppose -2*y - 3*z = -v*y + 573, -573 = -3*y - 5*z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34335 + 161?\nAnswer: 34526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2622163 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -59. Let t be -14*12\/(-8)*s. What is the highest common factor of 105 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 + -229. Let r be (-1)\/2*0 + 7. Let y = r + t. Sort y, 4, -1\/6 in increasing order.\nAnswer: -1\/6, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - b - 29, 8*j - 46 = 3*b + 17. Let h(l) = 17*l - 37. Give h(j).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 12*b**2 - 2*b**3 + 20 - 8 as a + u*b + c*b**3 + m*b**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 517.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + 1 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.099, 25, -25 in descending order.\nAnswer: 25, -0.099, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275167096 a multiple of 1112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s - 49*s = 31416. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-408)\/(-20))\/3 + -6\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 3 + 0 + 4*t + 2*t**2 + t**4 in the form y + v*t**4 + j*t**2 + d*t**3 + w*t and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let g be d(-4). Let y(x) be the first derivative of -8\/5*x + 4\/5*x**2 - 2\/15*x**3 - g. Determine q so that y(q) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15849317.\nAnswer: 11, 1440847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-2)\/63*(-7254)\/(-52).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2393.57 - 2329. Let o = t - 1.57. Let z = 63.00528 - o. What is z rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v*v\/(v**(-10)\/v))*v\/(v**(-1\/2)\/v)*v**28*v**14 assuming v is positive.\nAnswer: v**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2. Let g(r) be the first derivative of 3 + 0*r**2 - 1\/3*r**3 + 0*r. What is i(g(w))?\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 1. Let j(r) = 6*r - 85. Let a(f) = 12*f - 192. Let g(q) = 4*a(q) - 9*j(q). Give 3*g(i) - 8*v(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5\/2 (b) -2\/9 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2705.94 - 2706. What is the nearest to q in 5, 0, 2\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 38. Suppose -11*u + 19 = 261. Let y = u - f. What is the nearest to -1 in 2\/3, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-12)*-13*9. Let k = 69 + z. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 - 1139 = -5*w + 2*w. Calculate the remainder when w is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 26447*c**2 - c + 1. Let u(l) = 112*l**2. Give p(u(o)).\nAnswer: 331751168*o**4 - 112*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3999 to one decimal place.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 8*n**2 - n. Let u = -446 - -468. Calculate the least common multiple of u and q(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*o - 9 + 1, -2*z - 2 = o. Suppose z + 10 = -5*t. Put t, 1, 0 in increasing order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42055918?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -464.249 + 464.3. Sort 14, -1\/6, -0.1, s, 0.1 in descending order.\nAnswer: 14, 0.1, s, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530302 divided by -4.\nAnswer: -265151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - -2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1408, -342, 2 in decreasing order.\nAnswer: 2, -342, -1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -442 in ascending order.\nAnswer: -442, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30305104409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 13. Let q = c + -62. Calculate the least common multiple of 27 and q.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - 3*v + 4*v + (0*v + 0*v + 2*v)*(0 + 1 + 0 - 2 - 1 + 2 + (-6 + 3 + 1)*(-1 + 2 - 2)) - 4*v + 0*v + 8*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d**2*r + 7*d**2 + 1652614*d*r**3 + 10871359*d wrt r?\nAnswer: -5*d**2 + 4957842*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1157684078 and 45\/14?\nAnswer: 8103788546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185334, 741362, 1668084, 2965506, 4633634, 6672474?\nAnswer: 9082032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -7\/8 (c) 192 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 1, e: 2, s: 3}. Give prob of sequence neee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) 22.6 (b) -0.1 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 297*s**2 - 5220*s + 17225. Determine h(-278).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and -394075.97.\nAnswer: -394075.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2736) - (0 + sqrt(2736))) - sqrt(2736) - sqrt(2736)) + 1 + sqrt(2736) + -5 + -3 + (2 + (0 + sqrt(2736))*-2 + -1)**2.\nAnswer: -60*sqrt(19) + 10938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:25 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5368c744 + 2?\nAnswer: 5368c746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i)\/(i\/((i*((i\/(i**(4\/3)*i)*i)\/i)\/i)\/i*i)))**(-2\/155) assuming i is positive.\nAnswer: i**(2\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2219, -2, -1, 1, -34 in descending order.\nAnswer: 2219, 1, -1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 25. Suppose 4*s + 2*r + 2 = 0, 4*s + 3*r + l = -2*r. Solve s*o - 2\/11 + 2\/11*o**2 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 2, d: 2, b: 2, e: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100521554609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 - 1. Determine d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 55 = 2*t. Suppose 3*c = -t*v + 158, -2*c + 100 = 2*v + 36. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 2. Let x(d) = -d**3 + 8*d**2 - 7*d + 5. Let z be x(l). Let n(h) = z*h + h - 5*h + 2*h**2 - 4 - h**2. Determine n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13 = 14. Suppose -w = -h - 4. Suppose -3*q - 5*s + w = 0, -3*q + 0*q - 2*s = -16. Solve -2 = -2*d + 4*n, 0 = q*d - 3*d + 4*n + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*q**2 - 109*q**2 - 279*q**2 - 162*q**2 as i*q**2 + z*q + k and give i.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*g + 152182, -2*w - 60864 = 2*g - 3*w. Let z = -56434 - g. Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -1*sqrt(65)*1 - 6*((sqrt(65) - (2*sqrt(65) - sqrt(65))) + sqrt(65)))\/(sqrt(180)*2*-3*-1))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132303433 + 234?\nAnswer: -1132303144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 14*z - 13. Let r be s(5). Let q = 67 - r. Let j(u) = u**2 + 3*u + 1. Let o be j(-4). Calculate the highest common divisor of o and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Suppose -6*h + 20 = -h - 2*k, 4*h - 28 = 4*k. Let y(b) = -b**2 - 6*b - 4. Let w be y(-3). Let z(x) = 4*x**h - w*x**2 - 2*x**2. Give z(f(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*q - 7 = 0, -4*p - 2*q = 1 - 11. Find the first derivative of -3 + 33 + 12*i**4 + 23*i**3 - 23*i**p wrt i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 123, 150, 195, 258, 339, 438?\n\"Answer: 9*u**2 + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 25707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52959?\nAnswer: 3, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 7 = -1. Let u(i) = -i**3 - i + 1. What is the remainder when 43 is divided by u(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) 17 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -32*g**5 + 1232*g**4 + 9278*g**3 + 3772*g**2 - 3702*g + 540 = 0?\nAnswer: -6, -1, 1\/4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375984 and 1224559.\nAnswer: 2611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*d**(2\/43))\/d))\/d*d*d\/((d**(1\/11)*d)\/d)*d assuming d is positive.\nAnswer: d**(881\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17144 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n + 36. Let y be w(10). What is the units digit of (-2 - (-3 + 2\/4))*y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13967*k**2 + 8*k + 16. Let x(n) = -3*n**2 + 2*n + 4. Let i(c) = -h(c) + 4*x(c). Let u(l) = 2*l**2. Calculate i(u(y)).\nAnswer: -55916*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -2423, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 9\/59 (b) 0.4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175349?\nAnswer: 373, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4698 and 49\/1044.\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/9)\/((-2)\/(-3)). Let b(z) = 80*z + 2 - 84*z + 2. Let a(l) = -2*l + 2. Let r(h) = x*a(h) - 4*b(h). Let o(y) = y - 1. Give 6*o(w) + 2*r(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/132010429 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 5. Let w(p) = p**2 - 1. Calculate c(a) - 2*w(a).\nAnswer: -2*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/2 - 647*l\/2 + 3810 = 0.\nAnswer: 12, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64059?\nAnswer: 3, 131, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 4777238.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 140, 0 in descending order.\nAnswer: 140, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 13, c: 3}. What is prob of sequence clcu?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*8*(-5)\/(-80).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 50636013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*5*(-3)\/9. Suppose q*d = -x + 27, x = d - 1 - 2. What is the greatest common divisor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -51, -90, -145?\n\"Answer: -8*q**2 + q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 107?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/((-180)\/50).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 43587208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679400506?\nAnswer: 2, 233, 1457941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/1848581 and 7\/3961245.\nAnswer: 27728715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5 = 5*d. Suppose -2*v = 3*n - 1659, 6*v = d*n + 2*v - 2765. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 154\/49 + -2 - 235928\/(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216314413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 51 = 2*f. Calculate the remainder when 96 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 1. Suppose -42*k = -37*k - 30. Let d be 3\/30*k*-5. Give s(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 1534\/52 - 132\/44\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231199.\nAnswer: 41, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:57 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 272, 255, 222, 167, 84, -33, -190?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 7*r + 78. Let z be (r\/(-4))\/((-4)\/304*2). Is z bigger than 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 179, 204, 249, 320, 423, 564, 749?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82, -83, -84, -85?\n\"Answer: -k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 6*l. Let i be b(-10). Is i + -1 + 3 + 0 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 - m + 2. Let k(n) = -n**3 + 8*n**2 + 36*n - 8. Determine -k(h) - 4*p(h).\nAnswer: -3*h**3 - 32*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/858 and -61\/8638916.\nAnswer: 25916748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1. Let f(x) = -2*x - 2. Suppose 12 = 11*r - 10. What is r*f(o) + 2*c(o)?\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -242, -961, -2154, -3815, -5938?\n\"Answer: f**3 - 243*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**48)**(1\/4) assuming c is positive.\nAnswer: c**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, x: 2, z: 3, d: 2, n: 6, s: 1}. Give prob of picking 2 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-four fifths of a millisecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.97 + -13. Let h = -2.97 + y. Put 0.1, -0.3, h in descending order.\nAnswer: 0.1, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 4d28b59?\nAnswer: -4d28b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14823*y - 18 + 18 - 12356*y + 4953*y to the form m*y + t and give m.\nAnswer: -22226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -396\/419, -3, 0.2 in decreasing order.\nAnswer: 0.2, -396\/419, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**6\/120 + m**5\/20 - m**3\/2 + 980*m**2. Give k(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 2*w**4 + 0*w**3 + w**3 + 4*w**2 + 6*w**4 + w to the form t*w**3 + s*w**2 + a*w**4 + z + x*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d - 6. Let k(y) = y. Give -5*k(h) + u(h).\nAnswer: -h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 - 1017\/4. Find the common denominator of t and 79\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 440.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 7*r**2 + 2*r + 7. Let m = 733 + -739. Determine l(m).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 - 6462440?\nAnswer: -6462321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 165*w - 1550.\nAnswer: -(w + 10)*(w + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 474*d**2 - 789*d**2 - 3*d**3 + 318*d**2 - 6*d - 2*d to h + z*d + o*d**3 + m*d**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/((35\/40)\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 25, -9, -1 in ascending order.\nAnswer: -9, -1, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 115. Suppose -d*u = -7*u - 30. Solve -2*v - 3*j + 12 = -u*v, 4*v + 3*j = 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - -2) + (-17 - -16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220932 is divided by 863.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 + 13*m**2\/2 + 34*m - 2813. Determine k(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = 7. List the prime factors of m\/(2*1\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01191080626 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -58, -65?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 27*k**2 - 22*k - 64. Let n be w(26). What is the highest common factor of n and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -4 (c) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 3*t**2 + t + 6. Let b(g) = -2*g**3 - g**2 + g + 3. Let q(i) = 5*b(i) - 3*z(i). Let m be q(4). Solve 3*h + 10 = m*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59, 61, 77, 113, 175, 269, 401?\n\"Answer: g**3 + g**2 - 8*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111001 - -11?\nAnswer: -1110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9831 and 10166.\nAnswer: 99941946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184855 - -26832. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 + 2*l + 3. Let s be t(-2). Let c = s - 4. What is the common denominator of -6*(-2)\/80 - c and 81\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-806)\/(-18) - 6\/(-27). Calculate the common denominator of p\/14 - (-3 + 1) and 55\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34699, 34700, 34701, 34702, 34703, 34704?\n\"Answer: q + 34698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9668.9833 and -0.3.\nAnswer: -2900.69499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43372008 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 141, -174, -485, -792, -1095?\n\"Answer: 2*z**2 - 321*z + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*c)*(7 - 4*c - 8 + 2*c).\nAnswer: -8*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogoospv. Give prob of sequence vpos.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 1\/2*i**2 + 0*i + 2. Let j(v) = 5*v - 2. Let o = 5 + -4. Give o*j(x) - 6*c(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 8.94. Let l = 0.56 + w. What is the closest to -2 in l, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19526, -39057, -58592, -78131, -97674?\nAnswer: -117221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -3*o, o = 4*l - 3*o. What is the remainder when 10 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-18))\/((4\/(-1))\/12).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-5 + -1 + (-2 - 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13625, -13615, -13605, -13595?\nAnswer: -13585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 4*p**2 + 7*p - 6. Let d be k(5). Suppose -34 = -s + n, 4*s - d*n = -2*n + 140. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 + j**3\/6 - j**2\/2 + 76*j. Let l(v) = 3*v**2 - 4*v + 4. Calculate -4*b(z) - l(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.4. Let u = -0.15 - 1.85. Is u smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 2*u**2 - 3 - 2*u**3 + 15 to a*u + t + j*u**2 + q*u**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -5*k**4\/24 - k**2. Let n(h) = 0*h**2 + 0*h**2 + 4*h**2 - 7*h**2. Determine p(n(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99.2 - -100. Let t = -1.3 + z. Which is the smallest value? (a) t (b) 4 (c) 5 (d) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 912*q - 22176. Determine o(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2da (base 15) to base 11.\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 5020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.8072 and -29?\nAnswer: 31.8072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + 208. Let z be d(0). Which is greater: 209 or z?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(19*s**2 - 46*s + 46*s)*(-3*s**2 + 2*s**2 - s**2 + (3 - 3 - s)*(-3*s + 9*s - 2*s)).\nAnswer: 114*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*a - 97*a. Sort 0.8, 2\/3, a, -3.\nAnswer: -3, a, 2\/3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -60. Let j = 8 - m. Suppose -3*v + 0 = 4*q - 29, 5*q + 4*v - j = 0. Solve 0 = 6*d - 2*d, x - q = -5*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 1\/2, -4, 38, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-25))\/((-3)\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -51.64. Let k = -0.16 - v. What is the nearest to 0 in -11, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31459, 62892, 94317, 125728, 157119, 188484, 219817, 251112?\nAnswer: 282363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let z be q(-2). Let n(v) = -940*v - 14100. Let x be n(-15). Which is the closest to x? (a) 8 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 4*n - 170. Calculate m(-19).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 5*i + 70 = 0. Let x = -1 + 6. Solve -3*h - 2*h = -x*f - 5, i = -2*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 325. Let p = v + 184. Which is the third smallest value? (a) p (b) -15 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 33 = 5*i. Solve 147\/2*s**5 + 60*s - 6 - 525\/2*s**4 - 435\/2*s**2 + 705\/2*s**i = 0 for s.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Let h = u + -5.5. Which is the second smallest value? (a) -1 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - -13330?\nAnswer: 13241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157760465*f**4*r**2 - f**3*r**2 - 520*f**2 - 2*f*r**2 + 3918*r**2 wrt f?\nAnswer: -3786251160*f*r**2 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 33*s**3 + 9*s - 6. Let g(t) = 17*t**3 + 5*t - 3. Calculate -9*g(l) + 5*o(l).\nAnswer: 12*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(475) + 2*sqrt(475)) + sqrt(475) + (sqrt(475) + 1)*-6 + (-1 + sqrt(475) + 1 - (sqrt(475) - (3 + -1*sqrt(475)))))*1 + -3 + -4)**2.\nAnswer: 450*sqrt(19) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468269?\nAnswer: 2468269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-25) - (-32)\/10. Suppose s*d + 2*d - 145 = 0. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9 - (-34)\/(-42))\/((-92)\/16422 + 0)?\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8688 divided by -8688?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**1))\/m**(-1\/10))\/(m**3*m*m**(-1\/6)) assuming m is positive.\nAnswer: m**(-71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (24 + 0 + -20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 933 = 183. Let x be (-552)\/(3*(-3)\/c). What is x rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*z + j, -4*j + 7449 = -z + 7445 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**3 - c**2 + c. Let x(l) = -15*l**3 - l**2 + 3*l + 1. Let z(y) = -13*d(y) + 6*x(y). What is z(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {y: 2, g: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3620123716?\nAnswer: 2, 11, 82275539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/11 + (0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13709019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*r + 7270 + 9251 + 2431 = -10094 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22590 - 994029\/44. Let b = -3\/44 - o. Sort b, 4, 0 in decreasing order.\nAnswer: 4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-20 - 16 - -20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v. Let b(d) be the first derivative of -d**2 + 4*d + 134. What is b(f(w))?\nAnswer: -4*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-91)\/21 + 7 + ((-16)\/3)\/8. Let i(p) be the second derivative of 1\/2*p**o + 19*p + 1\/12*p**4 - 1\/20*p**5 - 1\/6*p**3 + 0. Determine i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 2*o + 10, 11 = d + 3*o + 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229046 is divided by 450.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(3 - 3 + 2*u)*(5780*u**3 + 120*u - 69*u - 51*u).\nAnswer: 11560*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -601223, -2404940, -5411135, -9619808, -15030959?\n\"Answer: -601239*v**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1106388 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 8*i**5\/5 + i**4 - 4*i**3 - 2*i**2 + 4*i - 6. Suppose o(h) = 0. Calculate h.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = -2*y. Suppose 12 = -2*f - 3*n, 2*f - y*n = 3 + 1. Sort -4, f, -5.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 2*w**2 - 6*w + 50. Give s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a microgram in nanograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482.036 millilitres to litres.\nAnswer: 0.482036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 510\/9 + 3\/9. Suppose 0 = -2*g + 51 + j. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294365 times 24?\nAnswer: 7064760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50059 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9067 = 10*o + 37. Calculate the remainder when o is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48634 less than -92?\nAnswer: 48542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -332, -360, -388, -410, -420?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j**3 - 760*j**2 + 300*j = 0. What is j?\nAnswer: 0, 2\/5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22018, -44254, -66702, -89362, -112234, -135318, -158614?\n\"Answer: -106*l**2 - 21918*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:46 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 40 = -3*m + 10, m + 28 = 4*k. Let p(f) = 19*f**2 - 4*f + 34. What is the units digit of p(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -1\/12*a**4 + 0*a**3 + 0 - 7\/60*a**5 - 5*a**2 + 0*a. What is the second derivative of c(d) wrt d?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2058 by 3.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 1629.\nAnswer: 1628.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.134 - -0.602. Round g to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 31 = -g, 2*g + 3*m = 3*g - 55. Let z = 46 - g. Calculate the common denominator of (6\/16 + z)\/((-465)\/(-1420)) and 51\/5.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 21 + 192. Suppose 3*x + 17 = i. What is the highest common factor of x and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 902 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 917?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19299844\/11 < 1754530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1979962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 13 + n + 50*n**3 - 2*n - 23 to f*n**3 + i*n + r + b*n**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 12 = 4*s, -5*s + 3*i - 68 = -53 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -47, -16, 17, 46, 65?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 313\nAnswer: -31.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -146500.\nAnswer: 3\/7325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7409539 > 7409542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqaaiaaiaqaqaaqqqaa. What is prob of picking 1 a and 3 q?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*n**3 + 2*n**2 - 20*n + 5 wrt n.\nAnswer: -132*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 5*a + 16. Let h be p(8). Put h, 0, -4 in ascending order.\nAnswer: h, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -31*t**2. Let l(r) be the third derivative of -r**5\/30 + 33*r**2. Calculate l(k(x)).\nAnswer: -1922*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 8*z**2 - z + 4. Let c be u(-8). Differentiate 177 + c*g**3 - 176 + 9*g**3 with respect to g.\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/169048 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 37*d**2 - 20*d + 14. Give i(-15).\nAnswer: 1889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 11. Let z be x(-10). Let u be ((-2)\/4)\/((-1)\/2). Let n = z + u. Solve n*d - 5*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = l. Suppose -4*u + 9 = -3*c - 40, c + 75 = 5*u. Calculate the remainder when u is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(65)\/sqrt(245)*6)**2*-3.\nAnswer: 576*sqrt(13)\/7 + 15024\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 93800 divided by -3\nAnswer: -93800\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.64 + 1.14. Suppose -3*a = 2*a. Put -3, k, a in ascending order.\nAnswer: -3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 440, 596, 658, 596, 380, -20, -634?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7979118 by -21.\nAnswer: 379958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45295*n + 16857 wrt n.\nAnswer: 45295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1840842 and -91\/30.\nAnswer: 9204210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1\/i**13 assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10429682 and 2248094?\nAnswer: 636210602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -7*y + 43. What are the prime factors of (441 - 2) + (-2)\/(10\/y)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.74 + 10.34. Which is the nearest to 2.2? (a) -2\/15 (b) -0.18 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0*u**2 + 0 + 61*u - 29\/5*u**5 + 0*u**3 - 113\/12*u**4. What is the third derivative of i(a) wrt a?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -441, -1056, -1931, -3066?\nAnswer: -4461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8994 - -8994. Let t = 3 - 2. Suppose 5*y + 4*a - 6 - t = g, 5*a + 4 = -2*y. Solve -2*h - 2*h - 10 = -w, 5*h - y*w + 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -18*c - 1. Let l be v(-2). Suppose 0 = -t - 0*t + l. What is the common denominator of 39\/2 and 303\/20*t\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4 + -3)*-2. Suppose 16 = 7*r - f*r. Factor 4*y**2 - 3*y**r + 7*y**3 + 0*y**3 - 4*y - 2*y**3.\nAnswer: -y*(y - 2)*(y + 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 6*z - 8. Let l be m(-6). Suppose -2*x - x = -4*s + l, -3*s = 4*x - 48. Solve -3*o - s = o + 4*n, 0 = n + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/47790 and 191\/198240.\nAnswer: 5352480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14*(1*(-1)\/1 + -8 + (-5991309)\/(-665343))\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 4*z - 10. Let d be 4\/(-20) + 43\/(430\/(-48)). What is w(d)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001923 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/40 + f**3\/6 + 2*f. Let v(c) be the second derivative of d(c). Let j(n) = 0 + 34*n - 35*n + 0. Determine j(v(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3088 (b) 1427 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + v)*(4 + 2*v**3 - 4) + (1 - 2*v - 1)*(-3*v**3 - 4 + 4).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 0 - -12)*(-47 + 51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279520881 a multiple of 4866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2909 (b) -0.16 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3859 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, 0.345, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/(-8) + (-12)\/(-48). Let l be 1\/b + 7001\/7. Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/620 and 87\/434?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + l**2 - 3*l + 13. Is 58 a factor of c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7 and -67\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166260048?\nAnswer: 2, 59, 2294767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1275 - 692. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.64, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80274 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 8*u**5 + u**5 + (-3 - 2*u**2 + 3)*(-2*u - u + 0*u)*(4*u**2 - 2*u**2 + 0*u**2).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5819*m + 11695. Determine f(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221195.\nAnswer: 5, 19, 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1\/120*z**6 - 1\/6*z**3 + 0 + 1\/12*z**5 + 0*z - 4*z**2 + 0*z**4. Give y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) 0 (c) -0.1 (d) -0.7 (e) -1 (f) 2\/63\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 16 = w + 5*g, -2*w = -3*g - 20. Suppose -2 = -4*v + 2*d, -w*d + 1 - 5 = 4*v. Solve -5 = -r - v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -7*z**6\/120 - 7*z**3\/3 - 18*z**2. What is the derivative of w(o) wrt o?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 2)*(-6)\/(-60). Are l and -2.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249 + -252. Let r be 55\/(-11) + 0\/b. Put r, -18, -2 in increasing order.\nAnswer: -18, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let i(d) = d**2 - 2. Let v(o) = -4*o**2 + 9. Let m(z) = -9*i(z) - 2*v(z). What is y(m(c))?\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14094 divided by -87?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6167 - 6172 - 6172 - 12*h - 6170 + 24665.\nAnswer: -12*h - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71, 109, 159, 227, 319, 441, 599?\n\"Answer: i**3 + 31*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/6 + -6 + 8)*40\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 500254920.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.11 and 512162 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -6.6.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.4. Let l(i) be the first derivative of -i**2 - 21*i + 209. Let d be l(-13). What is the biggest value in d, -1\/2, q, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - ((50 - -3) + -48)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**7\/140 + y**6\/24 - 3*y**5\/40 + y**4\/24 - 20*y**2. Determine o, given that w(o) = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 6?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f. Let m be f + 7\/((-14)\/(-4)). Factor 0*d**m + 1\/3*d**3 + 0 - 1\/3*d.\nAnswer: d*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 94304306.75 and 27718?\nAnswer: 94276588.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 68 times 0.3\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:50 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*x = -684*x - 677*x - 88566 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -18*l - 111. What is a(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 196*i. Let u(y) = -y. Let d(t) = -r(t) - 70*u(t). Let l(h) be the third derivative of 5*h**4\/24 + 3*h**2 + 86*h + 1. Give -4*d(v) - 99*l(v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 873656 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38015*m**4 - 39*m*p**3 - 4144404*p**3 wrt m?\nAnswer: 152060*m**3 - 39*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 115701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4101925*5.\nAnswer: 12.0509625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = m, m - f - 6 = 11. Suppose 0 = -9*z + m*z - 129. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 9*b - 4. Determine j(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3\/2 + 18*d**2 + 66*d + 64 = 0. Calculate d.\nAnswer: -32, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125\/118 + -36899\/590. Let a = 64 + k. Let j be 2*((-15)\/(-12) + -1). What is the closest to -2 in -2, j, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*w - 15 = 0, 260*w = 264*w - 20. Solve 294 = i*g + 299 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - 73 - (1 + 24 + -3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*(p\/p**(-2\/53))\/p*p*p))*p**(-22) assuming p is positive.\nAnswer: p**(-1005\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -1\/10, 1\/77, -66, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6185, -24759, -55717, -99059, -154785, -222895?\n\"Answer: -6192*d**2 + 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382140040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 164. Let n(z) = 2*z**2 + 6400 - 6400. Give n(o(s)).\nAnswer: 2*s**2 - 656*s + 53792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**3 + 2*t**2 - 21*t. Let l(y) = 14*y**3 + 7*y**2 - 64*y. Let i(x) = -4*l(x) + 14*w(x). What is the second derivative of i(j) wrt j?\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(6912) - -2*sqrt(6912)) - (sqrt(6912) + -1 + 1))*-6 + -2 + -2)**2.\nAnswer: -16128*sqrt(3) + 995524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -163459.7.\nAnswer: -163459.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/9)\/(-8*12\/(-5477040)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 1. Let w(v) = 14*v**2 + 20*v + 3. Let s(g) = -6*t(g) - w(g). Let n(i) = -3*i**2 - 7*i - 3. Let c(d) = 11*n(d) - 4*s(d). Calculate c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107.243062 - 0.5\nAnswer: 106.743062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 + (-65)\/(-30). Suppose -14 = -2*p + q*t, 5*t + 2 + 3 = 0. Solve -x - w - 21 = -p*x, -x - w = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 1, k: 1, o: 5, i: 1, p: 2}. What is prob of sequence ob?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2 - 8 + 4*z - 5*z + 0. Let w be g(-6). Factor 0 + w*j - 1\/5*j**2.\nAnswer: -j**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -6, 495, 424\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 18. Suppose -2*n + 24 + 18 = 0. Let o be 1\/2 + n\/v. Solve -q - o*q = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89\/140 + 4069\/840. Find the common denominator of (-5 - -10)*26\/(-24) and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 - 38*t**4 + 95*t wrt t?\nAnswer: -20*t**3 - 456*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -188909*b**3 + 7*b + 44203357 wrt b.\nAnswer: -566727*b**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k. What is the first derivative of k - 1 - 2 + 2*d + 5*d wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27730 - -27742. What is the third smallest value in -21, -12, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 - 173683 + 173683. Let u(z) = -5*z**2. Calculate u(t(y)).\nAnswer: -80*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-14)*56\/(-12)*16\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.33 - 370.33. Let n = 370 + z. Which is the closest to 0.1? (a) -0.4 (b) 1 (c) n (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 20227365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4410 and 285811218?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*d + 722 - 3714 = 0. What is the remainder when 568 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 1. Let h(z) = 6*z**2 - 5*z + 6. Determine 5*a(y) - h(y).\nAnswer: -6*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(4\/5))\/z))**(-3\/4)\/((z*z**(1\/37))\/((z*(z\/(z*z\/z**4))\/z)\/z)) assuming z is positive.\nAnswer: z**(-279\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -61118396 divided by -5\nAnswer: 61118396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -9. Let t be r\/26 + 1042\/13. Suppose 5*o = o + t. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = -2. Let b = 6 + a. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (2 + -5)) + (18 - (16 + 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 399, 1382, 3299, 6462, 11183, 17774?\n\"Answer: 52*f**3 - f**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p + 203. What is the units digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*l**3*t**2*z - 2536*a*l**3*t*z - 27*a*l*t + a*l + l**2*z - 8*l**2 + 5*l*t**2*z + 2*l*t**2 wrt l.\nAnswer: 6*a*t**2*z - 15216*a*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d**2 - 3*d + 34. Let t(p) = -19*p**2 - 5*p + 63. Calculate 5*o(n) - 3*t(n).\nAnswer: 12*n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(7) + 1 - sqrt(7)) + -1 - (sqrt(77)\/(3*sqrt(11)))**2) + sqrt(175)*-2 + sqrt(2835)\/sqrt(5).\nAnswer: -sqrt(7) + 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*l**2*s + 83*f*l*s + 2*f*s + 58*l**2*s + 14*s wrt f?\nAnswer: -2*l**2*s + 83*l*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1256 divided by -4\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrd when three letters picked without replacement from {n: 1, r: 1, v: 1, d: 6, y: 1, u: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 69, 159, 287, 453, 657?\n\"Answer: 19*m**2 - 5*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 2*j - 1. Let g be d(2). Let s(a) = -3 + a + 4 - 5*a - a**2 - 9*a. Let h be s(-13). Solve -h - 8 = -g*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04713 + -0.038635. What is f rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -19*a**3 - a**2 - 2*a - 1. Let t be v(-1). Suppose -5*m + 1051 = -3*p, 3*p = -5*m + p + 1041. Calculate the greatest common divisor of t and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 567?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(166*z - 176 + 176)*(2*z + 3*z - 7*z)*(2*z - 4*z + 3*z) in the form i + k*z**2 + y*z + q*z**3 and give q.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3683 - -3685 - (-1 + 1). Factor -3\/5*g**3 + 33\/5*g**k + 39\/5 + 15*g.\nAnswer: -3*(g - 13)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. Let b = 6 - m. Put b, 6, -2 in decreasing order.\nAnswer: 6, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -155, -461, -955, -1643, -2531?\n\"Answer: -d**3 - 88*d**2 - 35*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9018.374 millilitres in litres?\nAnswer: 9.018374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-8\/7)\/n))\/n)\/(n\/n**(-6\/5)) assuming n is positive.\nAnswer: n**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**7\/42 + 5*a**6\/6 + 29*a**5\/10 - 25*a**4\/3 - 36*a**3 - 1356*a. Determine p, given that l(p) = 0.\nAnswer: -2, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187326 is divided by 18730?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*v = 16, -2*f - v + 2 = 3. Suppose -4*b + 0*b = 0. Suppose d + 9 = -2*r, -4*d - 5*r + 4*r - 1 = b. Sort -5, f, d in decreasing order.\nAnswer: f, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 9 (c) -10 (d) -690 (e) -4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12546 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (16 + -21 - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/11 in -2\/9, -0.3, 0, 1\/3, -5391\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376703 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 - 4337*h - 13071. What is r(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 74 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**37*k**(-40) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. What is the units digit of f\/(3\/2*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = 3*o + g - 256, -56*o = -4*g - 168 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - ((-8 + 3 - -13) + -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/360 - t**4\/4 + 7*t**2. Let i(z) be the second derivative of j(z). Let n(w) = 11*w**2. Determine i(n(q)).\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 + 8 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*k + k + 20, 0 = 4*m - 2*k - 38. Suppose 25 = m*y + 97. Let j(i) = i**2 + 7*i - 12. Give j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18058, 3, 0.2, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - 3) + 2 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -246*i**2. Let a(o) = 5*o**2. Determine l(a(n)).\nAnswer: -6150*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.12 - 0.12. Put 2\/7, 0.1, d in increasing order.\nAnswer: 0.1, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -414*r**2 + 408 + 17 - r + 412*r**2 + 0*r**4 - 2*r**4 to x + n*r**3 + p*r**2 + f*r**4 + j*r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 7:57 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:59 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134065 is divided by 84.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*j - 5, -2*j - y + 2 + 1 = 0. Let g be 0 - (-1 + 1\/j). What is the second biggest value in 0.1, -5, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 8173, -17, -4, 2\/19, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 16*h + 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - r - 449998, -3*r - 149994 = -d. Round d to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2859*y = -4020*y - 315320 + 19523 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(468) + -2) + (1 + (sqrt(130)\/sqrt(5))\/sqrt(2))**2.\nAnswer: 15 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 3. Let y be g(-2). Let w = 46 + -70. Let m = 24.03 + w. Which is the closest to m? (a) -2 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 103. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Suppose -3 = 3*a - 9. Let h(t) = t**2 - 5*t**p + a*t**2 + 6*t**2. Let f(k) = 3*k. Determine h(f(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13804 - 13715. Calculate the highest common divisor of q and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3559*v**2 + 3192*v**3 + 36*v + 2 + 3538*v**2 - 7147*v**2 + 246*v**3 wrt v.\nAnswer: 20628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**4\/12 - 13*z**3\/6 - 37*z**2\/2 - 14*z - 1. Let c be d(-7). Solve 0 = c*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2389908570 divided by 5.\nAnswer: 477981714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 13 - 19*r - 5)*(-5*r**3 + 5*r - 5*r) as v*r**4 + w*r**3 + p*r + i*r**2 + t and give v.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 65 = -q, 345 = -3*q - 2*q + w. Let z = q + 149. Suppose -3 = 4*u - z. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 107 = -3*t, q + 64 - 20 = t. Let s = 22 - t. Let v = 4 - s. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41592\/175 bigger than -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0458 - -0.2212. Let b = c - 0.25316. What is b rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30601178 and 3484?\nAnswer: 795630628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/18 and -23\/2892.\nAnswer: 8676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -84. Let l(o) be the first derivative of -1\/2*o**2 + 1\/3*o**h - 2*o**4 + 0*o + 1. Give l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 4*p.\nAnswer: -p*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 - 4452*l + 17913. Calculate s(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {g: 2, r: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 123176, -3, -2, -69 in descending order.\nAnswer: 123176, 5, -2, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 29*u**2 - 6*u + 4. Let t be h(4). Suppose -b = 2*b - 5*r - 272, 0 = 5*b + r - t. Suppose -6*p + b = -5*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8606 at least 3261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7130 + -4270. Let q = l - 60049\/21. Find the common denominator of -59\/12 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 - -3?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.8 + -8. Let z = n - 0.8. Which is the closest to -1? (a) -2 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from fxeffee.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 1. Let k be n(2). Let l = -0.92 + -0.08. Which is the second biggest value? (a) l (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 41988*y**2 + 41985*y.\nAnswer: 3*y*(y + 1)*(y + 13995)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-25))\/((12\/(-180))\/(912\/513))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-17 - -11 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633753237.\nAnswer: 641, 2548757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -189.2*-0.5855\nAnswer: 110.7766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03472732655 to six decimal places.\nAnswer: 0.034727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6 and 55\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62710 is divided by 198?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863156 is divided by 312?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10816490*o*p*z - 5*o*z + 741874*z with respect to p.\nAnswer: -10816490*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133997 (base 10) to base 16.\nAnswer: -20b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - 3) - (3 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 487947447 = -4*i, 0 = -32*i + 36*i + 12. Let k = v - 12699487. What is k rounded to the nearest 1000000?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m + 2 = -3*r, 4*r + 5*m + 10 = 0. Let x be 4 - 2 - -89 - r. Suppose -19 + x = 4*a. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -95, -103, -115, -131, -151, -175?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/12 - 7*z**4\/24 - 5*z**3\/6 - 2*z**2 - 8*z. Does 12 divide c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/2 - 2*z**2 - z. Let y be 2\/(-19) + (-847)\/418*-4. Let r be n(y). Solve 5*h - 17 = 4*d - 4, 5*d - r = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 24. Which is the second smallest value? (a) -0.1 (b) k (c) 2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - -306836518?\nAnswer: 306836517.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 6 - 39)*((1 - 1 + y)*(y**2 + 2*y - 2*y) + 4*y**3 - 2*y**3 - y**3) + y**2 + y**3 - y**2 in the form q*y + w*y**2 + t + h*y**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-6 - 4 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 912*l**2 - 134*l - 23. List the prime factors of w(-7).\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t)*((-t - t + t)*(-1 + 1 + 1) - 3*t + t + 4*t + (1 + 0 - 3)*(0*t + 3*t - 2*t) + t - 2*t + 0*t - t - 2 + 2).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4589 divided by 46?\nAnswer: 4589\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -449 + 437. What is the smallest value in 4, m, -0.1, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u**2 + 8*u - 9. Let p be q(6). Let a = -87 + 67. Let o be ((-4)\/((-80)\/(-12)))\/(2\/a). Solve o = p*n - 0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-11)*(-17006)\/773?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*l**3 - 12*l**3 + 0*l**3 + l**2 to the form f*l + n*l**2 + c + h*l**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -165, -164, -163, -162, -161?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t. Let g be 12\/15 + (-180)\/(-25). Let p(s) = 5*s**2 - g*s**2 + 6*s**2 + 136 - 146. Determine p(m(r)).\nAnswer: 12*r**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -19*u + 19. Is o(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18.1 (b) 0.3 (c) 1\/2 (d) 112 (e) -3 (f) -1 (g) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = -3*k - 19, -k = -2*p + 7. Let x(f) = -3*f + 12. Let m be x(p). Let q(j) = j + 4. Determine q(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521466 to the power of 1\/2, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13889677 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 1, e: 1, j: 1, f: 1, x: 1}. Give prob of sequence jl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 836 = 14*i + 3*i + 154 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.95 - 2. Let i = o - -0.1. Let m = i + -0.049968. What is m rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from gvaxyyyvyyva.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427903516 to the nearest integer?\nAnswer: 20686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2646 and 28322?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 29. What is the first derivative of 4*g - 4*g - y + 12*g**3 wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -768357*m + 384179*m + 384177*m - 2090*m**2. Let p(c) = 2*c**2. Determine v(p(b)).\nAnswer: -8360*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -64. Let s be ((-2)\/12)\/(9\/(-12)). Let t = 0.15 + 0.25. Put t, s, c in descending order.\nAnswer: t, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594088 is divided by 51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4*u**2 - 2. Let c = -34 - -50. Let o = 23 - 21. Suppose -w - o*w + 8 = 5*y, w = 3*y - c. Determine p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706833353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10417*a**3 + 3*a**2 + 12*a. Let o(z) = -90294561*z**3 + 26005*z**2 + 104020*z. What is 3*o(y) - 26005*s(y)?\nAnswer: 10402*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -1. Suppose -50 = -l - 12. Let k be (10\/z)\/(-5)*l. Solve -h - h + k = -5*c, 6 = -2*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 25 = 27. Calculate the highest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/((-3)\/(-2)). Let w(c) = 27*c**2 + 11*c + 8. Let p be w(v). What is the greatest common divisor of p and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 * -0.2\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 725840 (base 10) to base 14\nAnswer: 14c73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2 + 2)*(-733 - 250 + 91 + 40).\nAnswer: -852*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-369)\/12 + 9\/12. Is -6*8\/60*w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:20 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 n when four letters picked without replacement from nnnnnnnjnnnjjnjnnnnn?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169102 - 169101.9837062. What is f rounded to four decimal places?\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + 1079\/4. Let i be d\/33 + (-2)\/11. Suppose 5*o = -3*f + i + 57, -5*f - 65 = -5*o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00092252 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5937, -11875, -17813?\nAnswer: -23751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36554 is divided by 317.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 435, 867, 1357, 1839, 2247?\nAnswer: 2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 1. Suppose s - 4 = -3*s. Let g be l(s). Let v be ((-12)\/9)\/((-2)\/6). Solve -u + 4*h = -2*u + 14, v = -g*u + 4*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/13 (c) 226 (d) 0.2 (e) 2 (f) -11 (g) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 0, -5*r - m = -5*m + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1856436*n**3 + 2*n - 74383278.\nAnswer: 5569308*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 14*c + 4*c**2 + c as q + w*c + m*c**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 a factor of 1496454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**3 - 54*s**2 + 22*s - 276. Determine c(-10).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 508, 1052, 1804, 2758, 3908, 5248?\nAnswer: 6772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -355*f + 219*f + 355 - 38. Is b(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - u - 0*u + 6, 0 = 2*q + 5*u - 23. Let l be (0 - (-1 - q))*-1. Let r be (-32 + 2)\/(-3) + l. Solve -5*b = -3*b - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/45 - (-56)\/6. Suppose -4*y + b = 9, 2*y - 2*b - u = 3*y. Calculate the remainder when ((-12)\/y - 3) + 86 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246 - 112. Let h(q) = 67*q - l*q + 69*q. Let n(s) = 18*s**2. Determine n(h(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1105 - -1072. Calculate the common denominator of l and 1\/15*(-177)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -27) + ((-4)\/8 - (-3)\/(66\/143))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 11*j - 5*j + 2*j. Let t(x) = 3*x**2. What is t(b(s))?\nAnswer: 147*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z**4 + 16 + 0*z**2 + 0*z**3 - 17\/5*z**5 - z. Differentiate v(g) wrt g.\nAnswer: -68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-3) - 876\/(-4). Suppose -219*a = -f*a - 9312. What are the prime factors of a?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from turcruggq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 87.1. Which is the closest to m? (a) 3\/5 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35144.\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3117 + 26069 = -2677*b - 29708 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1220 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/19397 and -103\/254932.\nAnswer: 1784524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*d - 709686 - 299008. Is d at most -13631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.4024 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -15. Let u = -4 - -5.7. Let p = u - t. What is the closest to -0.1 in -1\/2, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -165780 + 1?\nAnswer: -165778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 35259*x - 105788. Calculate v(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -395\/3 + 132. Let h = 114 + -801\/7. Which is the fourth biggest value? (a) z (b) -0.5 (c) -4\/9 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 91, 311, 735, 1429, 2459?\nAnswer: 3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -37966\/15953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 2111661.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/8)\/(37 + (-13224)\/352).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 - 61 = 0. Let y = -5 + z. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/9 - 736*g**3\/9 - 10696*g**2\/9.\nAnswer: 2*g**2*(g - 382)*(g + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2141 = -p - 3*u - 2149, 9 = -p - 2*u for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3878 is divided by 728?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 - 26 = 0. Let x be a*(2\/(-4) - 0). Let g(n) = 4*n + 3. Let c = 5 + 1. Let p(o) = -5*o - 4. Determine c*g(s) + x*p(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*z + 1370*z = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a - 11. Let q(y) = -1. Determine -2*f(o) + 22*q(o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 4*z**2 + 2*z - 2*z**2 - 1106.\nAnswer: -8*z**2 + 2*z - 1106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22624 by -8.\nAnswer: -2828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**8\/6720 - i**7\/480 + i**6\/180 + i**5\/30 + i**3\/3 - 34*i - 215. Let t(y) be the third derivative of o(y). Factor t(m).\nAnswer: m*(m - 4)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627, -3652, -8691, -15744, -24811, -35892?\nAnswer: -48987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/21 + 23356*w**4\/21 + 7782*w**3\/7 - 93424*w**2\/21 - 93416*w\/21 = 0.\nAnswer: -11677, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-20)*(-8 - -3). Determine v so that -1\/4*v**2 - 1\/4*v**4 + 0*v + 0 + p*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -0.4 (c) -0.06 (d) 17 (e) -4 (f) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 68 + 13 + 10981*c + 20 + 22)*(-2*c**3 - 5*c**3 + 4*c**3) as x*c**2 + d*c + l*c**3 + y*c**4 + f and give y.\nAnswer: -32943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/2 - 2*x**2 + 2*x. What is the remainder when o(-3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(18)\/(sqrt(9) - (3*sqrt(99))\/sqrt(11)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 u when four letters picked without replacement from {u: 13, q: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let w(r) = 5*r - 1. Let d(x) = -2*m(x) + w(x). Let f be d(1). Let p = -465 + 469. Solve p*s + 8 = 2*o - 10, 20 = f*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -20. Which is the biggest value? (a) 4 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230879 by 230879.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:42 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 44. Suppose 18 + z = 6*b. Suppose -3*c = -3*s - 9, 0*c = -4*c + 3*s + b. What is the highest common divisor of 10 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210121 (base 5) to base 2.\nAnswer: 1001010100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*z**3 + 601*z**3 - 349*z + 349*z.\nAnswer: 420*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2192 and 3562.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9205 = -13*h + 71122. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 8. Let w be 9\/6 - 109\/t. Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 8*q**2 - 7*q. Let j(g) = -13*g**3 + g**2 + g - 1. Let s be j(-2). Let l be (4\/(-6))\/((-10)\/s). Let p be c(l). Which is bigger: p or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9629355 and 85440.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 + 2728*y**2 + 5*y - 1084.\nAnswer: 40*y**3 + 5456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15856911 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106028705?\nAnswer: 5, 1361, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpb when three letters picked without replacement from hppmpphshpsphbppphh?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by 85?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -21\/10*a**4 + 98\/25*a**5 - 4\/5*a**2 + 8 + 0*a - 16\/5*a**3. Suppose t(k) = 0. What is k?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 1460 = -197*r - 484 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 983*c + 68728. What is r(-70)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.51 - 0.73014392?\nAnswer: 21.77985608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -338244 divided by -852?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-3)*p**8)\/(p**(-4\/9)\/p*(p**(-1\/10)*p)\/p) assuming p is positive.\nAnswer: p**(1309\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16676240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/243858 and -20\/12151?\nAnswer: 7071882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4624*x**2 - 3890*x + 2. Let o(g) = 4*g**2 - 6*g + 1. Let j(w) = -2*o(w) + p(w). What is the second derivative of j(u) wrt u?\nAnswer: -9264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/182*21\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keksseiwsswsnsssnss. What is prob of picking 1 w and 1 i?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (3 - 10\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 320*c**2 + 2700*c.\nAnswer: 5*c*(c - 54)*(c - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 9*z - 24 = 14*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22392329 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 7788 = -4*g - 7802, 0 = 2*t + 4*g - 16 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -46*d - 370. Let x = -6319 + 6311. Determine i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.002 - -0.002. What is the third smallest value in 1\/4, -5, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlalulluaauaaluahl. Give prob of sequence lua.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l*m**3 - l*m**2*y**2 - 4*l*m*y**3 - 11*l + 53*m**2*y**3 + 7*m*y**2 wrt m?\nAnswer: 30*l*m - 2*l*y**2 + 106*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 4*i + 23984, 3*m + 4*i = 17984. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3234 and 159005?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 727\/66 - 23\/2. Let i = x + -2\/11. What is the nearest to i in 0.5, -2, -1\/6, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/14)*z)\/((z*z**4)\/z) assuming z is positive.\nAnswer: z**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1644360 divided by 205545.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 558*q**2 - 460*q + 53860. Calculate l(-557).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i**2 + 361*i + 18. What is u(33)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6.3. Let g = r - -1.79. What is g rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104953 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 3*y - 235. Calculate the remainder when y is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 23615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*r**2 + 14*r**4 + 4*r - 5*r**2 - 23*r**2 wrt r?\nAnswer: 168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(9)\/(sqrt(12)\/(sqrt(12)\/sqrt(3))) + 2*sqrt(48) + (1*(sqrt(3) + -1 - sqrt(3)))**2.\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:12 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 + 106*o**2. Let q(r) = -27*r**3 + 531*r**2. Calculate 11*l(z) - 2*q(z).\nAnswer: -z**3 + 104*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 4808394*t + 1926721071603.\nAnswer: 3*(t + 801399)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-35)\/(-25) + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9895 - -0.0105. What is the third biggest value in x, 26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.922 + 0.078. Let a = 2138.9 + -2206. Let g = a + y. Which is smaller: 22 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0812362 rounded to three dps?\nAnswer: 1.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/((3\/2)\/((-108)\/(-144)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112779 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6*1 + ((-929)\/11148 - 391\/(-12)).\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-434*c - 198*c + 99*c)*(-1 - 3 + 2) + (1 + 3 - 3)*(4*c - 2*c + 0*c) in the form w + l*c and give l.\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c + 74*c + 135 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 296666665. Let t be (-6)\/(-8)*(w + -5). Suppose -t = 5*n - b, 2*n + 17799992 = -2*b + 4*b. Round n to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 457)\/((-72)\/(-96)). Solve u = 36*x + 41*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 - 52 = 12*t. Calculate the remainder when 234 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 464 - 2795\/6. Let t(a) = -4*a**3 - 4*a**2 - 2*a + 1. Let b be t(-1). Suppose 2*d + 6 = -2*f, -5*d - f - b = 12. Is q < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 601 + -345. Suppose 5*x = -i + k, 3*i - 105 = -x - x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -1, 2, -4, 3 in descending order.\nAnswer: 3, 2, -1, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-7106)*19)\/((-427)\/77).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -110. Let c = y + 83. Suppose -5*r + 5*u = -1470, -r = -c*r + 5*u + 278. Round r to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, h: 4, l: 3}. Give prob of sequence hltl.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -303051 divided by -14431?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1323.35 - 1422. Let p = -6.45 - g. What is p rounded to 0 dps?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from {f: 9, a: 2, d: 5}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 2*o**2 + 0*o**2 + ((-1 + 4 - 2)*(-2*o + 2*o - 2*o) - 39*o - 8*o + 10*o)*(4*o + 2*o + 48*o) in the form x*o + l*o**2 + k and give l.\nAnswer: -2105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1648.73215+-2\nAnswer: -1650.73215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k + 195 = 28*k. Let j = 16 + k. Which is bigger: j or -25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13744 is divided by 140?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -47, -0.1, -9, 0.15, -0.4, -15\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 20)*7\/(-21). Suppose 1 = k*w - 5. Let q be ((-13)\/26)\/(w\/14). Are -4 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/3*28095\/13111.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -995 or -2981\/3?\nAnswer: -995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*o**3 - 9 - o**2 + 41\/4*o.\nAnswer: -(o - 4)*(o - 1)*(o + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.110399.\nAnswer: 0.0110399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) + 152\/57. Suppose 0*q - 2*g + 24 = u*q, 0 = q + 5*g + 5. Suppose 4*c = q*c - 12. Calculate the lowest common multiple of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by -2075.\nAnswer: 59\/2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - -0.09. Let d = -0.8 - -0.8. Let h = -0.2 + d. Which is the biggest value? (a) h (b) j (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)*5\/(-20). Suppose 0 = -3*h - v*h. Suppose h = 8*g - 6*g - 98. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 11) in base 6?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*y, 5 = 2*n - 3*y - 10. Let r be -3*-1*(-2 + n). Solve -2*x - r = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 653 - 664.8. Let u = -8.06 - -0.06. Let v = x - u. What is v rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14515144 and 70?\nAnswer: 72575720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8924 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 810*t + 12069. Give o(-14).\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 - 3 = 0. Suppose 3*b = -d, -b = -d - 0 + 4. Suppose -d*s = -8 + 23. Put s, 4, x in decreasing order.\nAnswer: 4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -280164\/11, 2 in increasing order.\nAnswer: -280164\/11, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -6 - 2 - -40. Suppose -i + 2*l = -73, -3*i + 2*i - 4*l = -h. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 16 (c) -2 (d) 2\/13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5\/4, 9 in increasing order.\nAnswer: -6, 5\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2.24381?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-6 + 23\/4 - 938283\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0078 + 0.9922. What is the nearest to g in -4\/5, 1, 1\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60822724223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 2. Calculate z(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 8*k**2 + 8*k - 2. What are the prime factors of w(-10)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 3. Let o be n(-8). Let z = -5 + o. Suppose c + 6 - 21 = z. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 1286656900*b**2 + 573920*b + 64 = 0.\nAnswer: -4\/17935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 37*d + 1. Let v(j) = 5*j**2. Determine c(v(h)).\nAnswer: 185*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -487.9999753 - -488. What is j rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37760.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, z: 1, b: 6, k: 3, q: 2, m: 2}. What is prob of picking 1 x, 1 z, and 2 b?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -5 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0 + 0*r**5 + 0*r + 1\/12*r**4 + 0*r**3 - r**2 + 1\/120*r**6. Find the second derivative of f(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 + 21*j + 58. Let x be s(-3). Is 21873 + (-13 + 6 - x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 46. Solve c + 9 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658 < 1543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (2 + (1 + sqrt(176) - sqrt(176))) - (-5*(2*sqrt(176) - sqrt(176)) - sqrt(176)))*6 + -2)**2.\nAnswer: -6720*sqrt(11) + 310864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 53355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 270*w**3 + 10550*w**2 + 146250*w + 500000.\nAnswer: 2*(w + 5)*(w + 25)**2*(w + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/(580\/(-168)) + 8. What is the second biggest value in 0.003, w, 0.4, -5?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 7*b + 2*b)*(-1 - 2*b**2 + 3*b + 1).\nAnswer: 12*b**3 - 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 115\/40 + (-2 - (3 + -2))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -11, -33, -73, -137?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 30*t + 461. Calculate b(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271268 is divided by 1205?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-342))\/((203\/(-2233))\/((-18)\/33)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/90*(-4 + -1). Let i = -4 - -8. Determine q, given that -g*q**3 - 1\/3*q**i + 0 - 1\/3*q**2 + 0*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjwwjwwjjwwjw?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3589*w**4 - 4*w**3 + 284*w**2 + 330*w - 8739 wrt w.\nAnswer: 43068*w**2 - 24*w + 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 38 + 65)*(-2*z + z - z) + (1 - 2 + 2)*(-77 + 77 - 70*z) + (0 - 2 - 1)*(0*z - 6*z + 4*z).\nAnswer: -184*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645 is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.428 - 0.067. Let x = n - -0.346. Round x to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152165146 - -235515146. Round o to the nearest one million.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181276287 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 6*m**2 - 3*m - 3. Let t = 2764 - 2755. What is the lowest common multiple of a(-6) and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjpjpjjpppjj. What is prob of sequence pj?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 11. Let a = m + 17.13. Let y = -0.12999998 + a. What is y rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 21859*z**2 + 2 + 207*z - 21860*z**2 + 2*z**3 - 2*z**4 - 2*z**3 to q + x*z + c*z**3 + s*z**4 + f*z**2 and give x.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2 = 5*u. Solve 7 + u = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3344.075 + -3310. Let d = t + -34. Let x = -0.07499938 + d. Round x to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-104))\/((-2)\/(-36)). Let f = 2\/13 - p. Let o = f + -5\/6. What is the closest to 0.1 in o, 2, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 3230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwccccwcwcwxwc. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*i - 29, -2*y = -4*y - 5*i + 17. Let a(c) = 8*c**3 - 5*c**2 - 6 - 6*c**3 - 6*c - c**3. Determine a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 677*w**2 + 15*w - 1. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -3 (c) 2 (d) 0.01 (e) -1618\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*(5\/6)\/(61 - 66). Sort m, 0, 5, -1, -3.\nAnswer: -3, -1, 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 11.98. Let o = 33 + -34. Which is the closest to k? (a) 0 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -811 - -811. Let m(n) be the third derivative of 3\/8*n**4 + b*n - n**2 + 0*n**3 - 3\/20*n**5 + 0. What is the second derivative of m(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3396 - -3395) + -19 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -379\/825 - -26\/55. Let t(w) be the third derivative of -1\/300*w**6 + j*w**5 - 1\/60*w**4 + 0*w**3 + 3*w**2 + 0 + 0*w. Factor t(g).\nAnswer: -2*g*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79763768?\nAnswer: 2, 7, 67, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (0 - 1))\/1. Suppose -5*i + 0*i + 105 = k. Solve -5*b = 1 - i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118063467 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + (-1 - 6 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 + 117 - ((-16)\/72 + (-16)\/18)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 9*y**2 - 6*y + 19. Let i be b(-8). Suppose 2*k + k - 2*p - 197 = 0, 2*k = -i*p + 114. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.8? (a) -1 (b) 2\/9 (c) -2289912 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-145)\/(-6))\/29*6\/(-40)*-2. Which is the fourth smallest value? (a) 1 (b) 6 (c) -1\/6 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 - 5 - -3) - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 777051 + -433.8295?\nAnswer: 776617.1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 704406400 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -24. Let r = 9 + a. Let i be ((1\/(-2))\/1)\/(-2). Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from vaxxxvavvoov.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 130614*o**2 - 10*o - 16. Let x be b(7). Round x to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3247940 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 66 = 3*x - 3*w, -162*x = -164*x + 5*w + 49 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*g + 219 - 747 = 0, -4*g = 3*q - 361. Let s = -94 + q. What is the greatest common divisor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/((-3)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*(g**(-3)\/g)\/g*g*g)\/g))\/(g*g\/g**(2\/5)*g))\/(g*g*g**(-2\/5))**36 assuming g is positive.\nAnswer: g**(-281\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*j - 20. Let s be 66\/(-55)*(-5)\/j. Solve 5*z - 2*c = -13, -2*z + 0*z = -4*c + s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35309\/3922 - 817\/74. Let w = 4258\/477 + z. What is the common denominator of w and -15\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)\/(-1 - -4). Suppose -3*d = 4*o - 1, -5*d + o = -8 - 9. Factor l**3 + 2*l**5 + m*l**d + 2 + 2*l**4 + 2*l - 4*l**2 - 5*l**3.\nAnswer: 2*(l - 1)**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = 0, -4*b + 2*t - 6 = -5*b. Suppose b = 3*u - 222 - 261. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*i = 1582, 4*r - 2108 = i - 6*i. What is the greatest common factor of r and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 281929909028.57 - 281900953907.569901. Let n = 28955190 - g. Let o = n - 69. Round o to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:43 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1931 + 3309. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100689, -200950, -301199, -401430, -501637, -601814, -701955, -802054?\nAnswer: -902105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-4))\/(-4 - 28\/(-8)). Suppose -8*j + 12 = -r*j. Suppose s - 4*q - 11 - 49 = 0, j*s = -4*q + 300. What is the remainder when s is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16189912859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37\/276 + -5\/23. Which is the closest to -1? (a) -2 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, y: 3, r: 11, l: 1}. Give prob of sequence rrcc.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28565 + 52696. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**6\/120 - 2*y**5\/15 + y**4\/3 - 2*y**2. Suppose -55*z = -56*z - 3. Let x be (2\/(-12))\/((-1)\/(-14))*z. Determine c(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68477 or -69573?\nAnswer: -69573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f. Let m(p) = 5*p**2 + 2*p + 6. Let z(o) = 5*o**2 + 2*o + 7. Let g(v) = 7*m(v) - 6*z(v). Calculate -g(r) + 2*k(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 9*y + 1. Let u(z) = -z. Let t be u(0). Suppose t = 4*r + 5*g - 28, 5*r + 5*g - 33 = 2. Give k(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, 0.1, -9\/16, -0.2?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1918*y**4 - 565*y**2 wrt y?\nAnswer: -46032*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 5, y: 3, i: 8}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48249, 96475, 144701?\nAnswer: 192927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 150?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20841 is divided by 1043?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-0.4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2377?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**3\/3 + 11*b**2\/2 - 5*b - 1787. What is h(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 67*g**2 - 1005*g - 323. Give z(44).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2391 (base 16) to base 12.\nAnswer: 5329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 8) in base 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1950599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586242383?\nAnswer: 239, 2452897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-1)\/(-2) + 1*16\/(-7 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12*a + 8*a - 6 = 0, 20 = -5*a. Calculate the smallest common multiple of w and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 4) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*h - 20*t - 40, -21 - 23 - 1 = 3*h + t for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/1221 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4019, -3999, -3931, -3791, -3555, -3199, -2699?\n\"Answer: 4*v**3 - 8*v - 4015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4. What are the prime factors of (3 + 0 + k)*18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j + 3. Let k(f) be the second derivative of 5*f**4\/4 + f**3\/3 - f**2\/2 - 29*f. Let u be k(j). What is the greatest common divisor of 128 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10977*y + 79771 + 161723 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2 + g)*(227 + 106 - 100) in the form l + i*g and give l.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 6*j - 3. Suppose 40*n - 42*n - 50 = 0. Let v = n + 57. Suppose 4*b = 4*y - v, y + 0*y = 2. Calculate r(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0) + 0 + 40. Suppose b = 4*x - 3*c, x + 5*c + 5 = 21. Suppose -15 = 5*j, 2*j = 2*y - 0*y - 30. Are y and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 11) in base 6?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*4*(-5226)\/3484\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21811351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 6*f**2 + 5. Let m be q(6). Factor -31*x - 5*x**4 - 37*x - 15*x**3 - m*x**2 + 83*x + 10.\nAnswer: -5*(x - 1)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-245)\/637 - (-377)\/1859\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 139, 5 in increasing order.\nAnswer: 5, 11, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 1. Let i be p(-2). Calculate the lowest common multiple of (-4 - i)\/(1\/(-4)) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7310100 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38422759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3636308 and 264?\nAnswer: 239996328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65504 + 113476 = 30*s. Suppose -s = 25*f - 40591. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g - 20 = 4*i + 78*g, i + 2*g = -8. Let c(n) be the second derivative of -1\/2*n**4 + 0 + 0*n**3 - 4*n + i*n**2. Let q(z) = -z. Determine c(q(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3\/4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14826288.\nAnswer: 2, 3, 499, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -s - 120, -j = 2*s - 6*s - 51. Let m(y) = -y**3 + 11*y**2 + 3*y - 32. Let k be m(11). What is the remainder when 1*k\/(3\/j) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41907488 divided by -14.\nAnswer: -2993392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -77069, 4, 1, -3, -4, 5 in increasing order.\nAnswer: -77069, -4, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 2*c - 4*c to the form s + n*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2909.003696 - -2909. What is t rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 + -2001122?\nAnswer: -2002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1065.28?\nAnswer: 106.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*i + 72343 = -129178, -3*y = -2*i - 120919. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -244 or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 32?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -2242.\nAnswer: 2242.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus 42?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -629735*c + 20781221. Determine v(33).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734876?\nAnswer: 2, 17, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 6:51 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*u)*(1 + 3 - 5)*(4*u - 5*u - 3*u)*(-5 + 0 + 3).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eltddee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -44.\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 4) to base 6\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63348*-10247.\nAnswer: -649126956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 212663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -5 - (-1 + 3). Let g = 2 + o. What is the highest common divisor of g and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 2*t + t)*(-24 - 31 + 12 - 14) to s + d*t and give d.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/18 and (1\/(-27))\/(9\/(-237)*-2).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 + 10 - (-2 - -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1216995700 rounded to the nearest one hundred thousand?\nAnswer: -1217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + n**5 - n**5 + (3*n**2 - 2*n**4 - 3*n**2)*(1 + 2*n - 1) + (3*n**4 + 3 - 3)*(n + 2*n - n) + (n - 2*n**2 - n)*(-299*n**2 - 10*n**3 + 299*n**2).\nAnswer: 24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2913752 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*k + 24, -4*k - 13 + 6 = 3*g. Suppose -k*u = u. Let s(p) = -p + 15. Let l be s(11). Solve -4*i - 4*m + u = -l, 4*m - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let n(u) = 4 - 1 - 4. Let x(b) = 2*l(b) + 2*n(b). Let f(m) = 4 - 2*m - 3 - 1. Calculate x(f(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 7*v - 9. Let c be w(-5). Let l be ((-12)\/(c + -5))\/(-3). What are the prime factors of (-1081)\/(-92) - l\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-11 + -13 - -24).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiackcbkccckbckccbwb. What is prob of picking 1 a and 2 b?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-4 + -1))\/1. Suppose l*c + 2*c = 288. What is the highest common factor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*(2 - 348\/16). Factor -7 - r*n**2 + 20*n - 1 - 20*n**3 + 166*n**2.\nAnswer: -4*(n - 1)*(n + 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let y be k(5). Let q be ((1 - 0)\/(-1))\/y. Sort q, -0.3, -3 in decreasing order.\nAnswer: q, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16100 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 1 - 76*k + 6 - 83*k + 163*k.\nAnswer: 4*k - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135200.9 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4050\/(-1584) - 7*(-6)\/231).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*x + 267 = 1153 + 276 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 29*g**2 - 3*g + 2*g + 2*g + 18*g**4 - 25*g**2 + 2*g**3 to the form y*g**2 + w*g**4 + q + o*g + v*g**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 7}. What is prob of picking 4 c?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-767 + 427 - 146)*(2*s - 4*s - 2*s) as w + k*s and give k.\nAnswer: 1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*w**2 - 108*w wrt w?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*w + 49 - 172*w - 423*w - 92 + 45 as l*w + d and give l.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 221828414 to the power of 1\/3, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1219391 to four dps.\nAnswer: 0.1219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -13. Suppose r - 2*c - y = 2*c, 4*c - 8 = -4*r. Suppose -18 = -r*b - 3. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 12. Let b be g(-8). Let p be (-31)\/11 + b\/198. Let s(j) = -2*j**3 + 5*j**2 + 5*j + 3. Let l(i) = -i**3. Let w(c) = -3*l(c) + s(c). Give w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -811 divided by 78\nAnswer: -811\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1140 + 1415. Let j be 26 - (0 + -3)\/(-3). Calculate the highest common divisor of j and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516 and 3354?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 8:47 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185418618*c**3 - 72368454*c wrt c.\nAnswer: 1112511708*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x + 108 = 4*f, x + 2*f = -36. Let a = x + 46. Let i be (-7)\/((1 - 2)*1). Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*t - 1. Let p = -275 + 278. Solve p*z - 2*z = -t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-570)\/(-684)*(-2336)\/730.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -11*s**6\/6 + s**2 - 12. What is the second derivative of f(j) wrt j?\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose 4*d = -3*f + 23, -3*f + 33 = 2*f + 4*d. Which is the nearest to -1? (a) 2 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p. Let t(o) = 9*o**2 - 6. Let w(n) = n**2 - 3. Let f(k) = t(k) - 2*w(k). Determine f(s(x)).\nAnswer: 448*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1221\/185)\/(-33))\/(18\/(-195)).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-17) - (32 - 38)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420 = -12*b - 23*b - 0*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 78*m - 495. Let s be a(-93). What is the highest common factor of s and 1100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 18 = 6. What is the remainder when 34 is divided by (-9)\/(-3*k\/(-36))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 5*p**2 - p**2 + p**4 + (3*p**3 + p**4 - 3*p**3)*(12 - 6 + 6).\nAnswer: 13*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958 (base 10) to base 4.\nAnswer: 32332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 356519754*v**6 - 671*v**2 - 265*v + 21?\nAnswer: 42782370480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 1:06 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 330*k**3 + 4275*k**2.\nAnswer: 3*k**2*(k + 15)*(k + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 199, 230, 293, 400, 563, 794, 1105?\nAnswer: 1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 2011102202?\nAnswer: -2011102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h + 7. Let j(p) = 7*p - 4. Let u(i) = -5*i + 1. Let r be u(-1). What is r*b(l) + 11*j(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22108121.\nAnswer: 7, 29, 108907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 2*w + 1. Let a be g(3). Let f be 1*-2*a\/(-4). Suppose 2*n + 0*n - 8 = 0. What is the greatest common factor of n and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 1\/((-4)\/18). Let h(y) be the first derivative of 3\/4*y**4 + 9\/10*y**5 + 1 + n*y**2 + 0*y - 7\/2*y**3. Let h(k) = 0. Calculate k.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 49*o**2 + 160*o**2 - 7 + 7. Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times -12466582?\nAnswer: -710595174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/9 - 604*n**4\/9 - 16736*n**3\/3 - 732224*n**2\/9 - 885760*n\/9 + 1703936\/3 = 0. What is n?\nAnswer: -156, -128, -16, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 27 = 33. Let l be (8 + 20)\/(f\/(-2 - -5)). Factor -19*c**4 - 3 - 5*c**2 + 13 + 0*c + 15*c**3 + l*c**4 - 15*c.\nAnswer: -5*(c - 2)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n - 36 = 31*n. Let w be (-4)\/3 + (-15)\/n. Which is the third smallest value? (a) 0.1 (b) -1\/2 (c) w (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 2. Let t(o) be the second derivative of -o**3\/6 - o**2\/2 + 3*o. Let u be 3 - (7\/(-2) + 3\/2). Let i be (16 - 18)\/((-2)\/u). Give i*t(c) - 2*n(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 25, 2, -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/4 + m**3 - 2*m**2 + 2. Let l be t(-3). Let i be (8\/(-6))\/((-4)\/l). Solve 7 = i*o + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 11, i: 8}. Give prob of picking 1 k, 2 i, and 1 l.\nAnswer: 308\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108651 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 22. Let y(w) = -2*w**3 + 3*w**2. Let a(d) = 4*d**3 - 5*d**2. Suppose -5*m + 4 = -6. Suppose -m = 5*s + 23. Give r*a(k) + s*y(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 479263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let b(r) = -2*r**2 - 11. Calculate l(b(c)).\nAnswer: -4*c**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -4. Let f = -13699.9 + 13700. Put -0.4, f, h in increasing order.\nAnswer: h, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - ((-3 - (-3 + -8)) + -2)) + -9\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8*s**2. Suppose -3*c + 3*t = 12, 0 = -c - 2*t + 34 - 17. Let b(h) be the first derivative of 0*h**2 - 16 + 4\/3*h**c + 0*h. Give b(p(a)).\nAnswer: 256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f - 13. Determine c(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44260 divided by 121.\nAnswer: 44260\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 6. Let i be f(-4). Let h be -1*(-6 + 2)\/(-1). Let p be h\/i + 4\/14. What is the second smallest value in -0.4, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2222054584.\nAnswer: 2, 43, 839, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(3 + 4 + 1)*(1 + 3 - 2)*(3*m + 1 - 1).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -295 and -1473\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(208)*-5*5)\/(-2*sqrt(324)*-5 + sqrt(324) + -1*sqrt(324)*-4 + sqrt(324)))**2.\nAnswer: -8125\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/11, 0.2, 1.\nAnswer: -4\/11, 0, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -0.06 (c) 11 (d) 0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.4, 8\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u. Suppose 4*j + 0*j + 8 = 2*a, u = 5*j - 2*a + 8. Suppose -3*k + 6*k - 603 = j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + -236 + 213\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**2 + p + 7*p + 0*p**2)*(6*p**2 + 40*p**2 + 9*p**2) to h*p + k*p**4 + a*p**3 + n*p**2 + q and give a.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 2)\/((-1)\/(-5)). Put u, 3, 1 in decreasing order.\nAnswer: u, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*3*8\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -15151675\nAnswer: 23\/15151675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - ((sqrt(76) + 5*sqrt(76))*3 + sqrt(76))) + sqrt(76) - (-4*(sqrt(76)*5 + sqrt(76)) + sqrt(76)))\/(sqrt(64)*5 - -1*sqrt(100)).\nAnswer: 6*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:31 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4291, -4298, -4313, -4336, -4367, -4406?\nAnswer: -4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z**(-15)\/z*z)\/z*z)\/z)*z**(-3\/16)\/z*z assuming z is positive.\nAnswer: z**(269\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let m(i) = 0*i - i - 2*i. Let l(n) = -2*n**2 - 4. Let d(k) = 4*k**2 + 9. Let x(j) = 4*d(j) + 9*l(j). What is x(m(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9350000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15832 - -1013223\/64. Calculate the common denominator of k and (-246)\/(-16) + -1 + -9 + 6.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - 0 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1654)\/(-4 + 3) + 13 + (-31 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 91*v - 87*v + 19 = 0, 3*v + 7 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 t when three letters picked without replacement from {h: 4, m: 2, i: 1, u: 3, t: 2, n: 8}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (107*x + 372*x + 244*x)*(27*x - 9*x - 16*x - 10) as t*x + z*x**2 + u and give z.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**4\/14 - 6*a**3\/7 - 8*a**2\/7 + 248. Factor l(r).\nAnswer: -2*r*(r + 1)*(r + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841258 is divided by 218558.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, x: 1, v: 3, k: 1}. What is prob of sequence vkgx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 6 - 2 - 1 - 5. What is b(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3 - 5*j**2 - 5 - 8*j - 3*j + 4*j**2. Let r be f(-10). Suppose r*w = -3*w + 40. Is w smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -254\/47?\nAnswer: -254\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4459 = 43*u + 11941. What is the units digit of -5*12\/150 - u\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426164 to the power of 1\/2, to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(130)*-2)\/(sqrt(10)*-1*-4) + (sqrt(130) - sqrt(130)*-1*-1)\/(sqrt(120)\/sqrt(3)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47 and 107.\nAnswer: 5029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 236402285*r. Let c(f) = 3*f**2. Determine c(g(u)).\nAnswer: 167658121059663675*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - 4*y**2 + 0*y**2 + (37*y**2 + 33*y**2 - 24*y**2)*(4 - 1 - 2) - 126 - 27*y**2 + 126.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 1518 = -5*q. Suppose -344 = 5*v - 3*x, -3*x = 4*v - 2*x + q. Let m = v - -161. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2446004326 - 1?\nAnswer: 2446004325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (0 + (sqrt(70)\/(sqrt(100)\/sqrt(10)) - (sqrt(63) + -5)))**2 + 3.\nAnswer: -20*sqrt(7) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 o when three letters picked without replacement from {a: 2, o: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 246, 0, 106\/5, -31\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1716698 at most as big as -5150092\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 - 87. Sort b, -0.3, 4, -5 in increasing order.\nAnswer: b, -5, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-8) - 3 - 861\/(-12). Suppose -87 + v = -4*k. Suppose 0 = z - k. Solve -8*a = -4*a + z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (7 - 6\/3). What is the hundreds digit of 390 + m\/(-15)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 0.2, 12936, -1\/6, 8?\nAnswer: 12936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 4, 1 in decreasing order.\nAnswer: 4, 1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(2 - 3) - -2. Suppose 0 = -0*n + m*n - 18. What is the remainder when n*(-4 + 3 + 28) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r + 59. Let v be t(-5). Let w = v + -14. Solve 2*z - 24 = z - 5*x, -5*z - 3*x = -w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2118299648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -177\/7, -0.3, 9\/5, -451, -0.5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*j - 118, -j + 5*j - 143 = -3*d. Let u(b) = -b**2 + 10*b + 16. Let k be u(10). What is the greatest common divisor of j and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1543, -3087, -4631, -6175?\n\"Answer: -1544*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 170 + 161. Let h be (20\/(-28))\/((-4)\/14). Which is the second biggest value? (a) 0.1 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/49, -5, 171989, -2\/7, 0.5 in decreasing order.\nAnswer: 171989, 0.5, 4\/49, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/42 + n**6\/24 - n**5\/12 - 5*n**4\/24 - 6*n**2. Suppose z(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3002, -5845, -8532, -11063, -13438?\nAnswer: -15657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 - 116. Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 1862.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 120\/13 (b) 0.4 (c) 0.17 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-28)\/(-98))\/(3\/28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from eaeamameeemm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -87210 divided by -2?\nAnswer: 43605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12022479, -12022475, -12022469, -12022461?\n\"Answer: q**2 + q - 12022481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 32*z - 375. Determine b(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/26117 - 339509\/313404. Let d = 13149 - 157885\/12. Find the common denominator of o and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368*0.09.\nAnswer: 33.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 - 5*z - 13. Let c = 262 + -266. What is the tens digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 6*i = g - 5, i = 4*g - 11. Let p(d) = 24*d + 9*d**g - 9 - 17*d + d**3 - 7*d. What is p(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -4.6\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/23))**(2\/45)\/((y\/(((y**(2\/3)*y*y)\/y)\/y*y))\/y*y**(3\/4)\/y))**(-12\/17) assuming y is positive.\nAnswer: y**(-7951\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:29 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u**3 + 118*u**2 - 36*u + 163. Give v(12).\nAnswer: 1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 318 = -6*g. Let x = 354 - 195. What is the highest common factor of g and x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3)*i)\/i*i**(-4)*(i\/(i*i\/(i**(1\/2)\/i))*i)**15)**38)**(13\/6) assuming i is positive.\nAnswer: i**(-2223\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 14. Let t = -6202 + 6260. What is the remainder when t is divided by p\/(-3) - -2 - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 7*x + 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*(x*x\/(x**(-8\/5)\/x))\/x*(x**(-1\/2)\/x)**(-2\/17))\/(x**(-1)*x*x**(-2\/5)*(x**0)**36) assuming x is positive.\nAnswer: x**(37\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 120489.6.\nAnswer: 36146.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2 - -154) + -8)\/((-4)\/6). Let d = -213 - a. Solve d = 3*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 5*d**2 + 6*d + 6. What is n(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 27 = 73. Let u be (-48)\/(-10) + (3 + -7)\/t. Find the common denominator of 49\/81 and u + 100\/(-3) - 6\/(-2).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2430) - sqrt(2430)*1)\/(sqrt(10) - (sqrt(40)*-3 + sqrt(10)) - sqrt(10)) - ((sqrt(96) + sqrt(24) + sqrt(24))\/sqrt(8) + 1 + sqrt(147))) + 0)*-1.\nAnswer: 1 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - -1) + (-255)\/45. Let l = -6.09 - 3.91. What is the biggest value in 0, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 9256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00077371 to six decimal places.\nAnswer: -0.000774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 - 21*g - 21. Let u(a) = -a - 1. Give -4*n(v) + 84*u(v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3300, -0.2, 86\/3, -2\/21?\nAnswer: 3300","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:37 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2027579 and 5002?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c + 3*c)*(-30 + 40 - 26)*(96 - c - 5 - 8) to x + f*c**2 + i*c and give i.\nAnswer: -2656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 40*t = 10. Solve 2 + 10 = t*a + 2*r, 0 = -a + r + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.0749 centuries to months.\nAnswer: 873689.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/11)\/((18\/203148*135)\/(10\/8)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p - 209. Give l(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**3 + 5*j**2. Let d(g) = 11*g**3 + 9*g**2. Let q(c) = -3*d(c) + 5*i(c). Find the third derivative of q(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x + 1. Let y(v) = 0*v - 3 + 2*v - 1. Let d(z) = z - 1. Let o(c) = -4*d(c) + y(c). Give h(o(k)).\nAnswer: 20*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/30 + 17*h**4\/6 - 12*h**3 - 69*h**2. Let k be z(-35). Let s be (6*4\/(-6))\/(-2). Sort k, 3, s in increasing order.\nAnswer: k, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429925 is divided by 1053?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3102*b*q**5 + 2*b*q**2 + 5*q**6 + 1466*q**2 - q wrt q?\nAnswer: 186120*b*q**2 + 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5)\/j*j**(2\/15)\/j)**25 assuming j is positive.\nAnswer: j**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1194 + 28.1194. Let x = 5066649.00019 + -5066677. Let o = a + x. What is o rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwwpwwwpwpw. Give prob of sequence wwwp.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 13, n: 5}. What is prob of picking 3 g and 1 y?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599440 divided by 5?\nAnswer: 519888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and 23.83 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 26*y**2 + 2. Let j be q(26). Let g(s) = -7 + 8 - s**3 + 13 - 9*s**j - 1. Give g(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-8)\/6)*-9. Let o = -20 - -14. Let l(y) = y**2 + 5*y - 4. Let j be l(o). Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12415656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 - 5439993*p\/2 + 5439987.\nAnswer: 3*(p - 1813329)*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -362 + 358. What is the nearest to 1 in p, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 3 + 1 + 3 + (28*c - 23*c - 15*c)*(-1 + 0 + 5) in the form m + f*c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 7 = -6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.2. Let s = -14.2558 + 13.8558. Which is the fourth smallest value? (a) s (b) 3 (c) n (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1)*(-4*d - 3 + 3) + (5*d**2 - 4*d**2 - 2*d**2)*(-4 - 1 + 4) - 83*d**2 + 106*d**2 + 207*d**2.\nAnswer: 235*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 271 (b) 7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147381 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185893, -185266, -184639, -184012, -183385?\nAnswer: -182758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5029 - 3*p**2 + 5036 + 5*p - 10076. Let h(u) = -2*u**2 + 2*u - 5. Give -9*h(t) + 4*w(t).\nAnswer: 6*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, 0, -1.\nAnswer: -5, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2598 and 749523?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 - 168*x**3 - 348*x**2 = 0 for x.\nAnswer: -2, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 3*f - 37 = 27*p, 11*p + 50 = -2*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -10. Suppose 2*t + 25 = 5*v, -2*t - v - 10 = -3*v. Suppose -6*m + 4*m + 4 = t. Which is the second biggest value? (a) o (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4229569817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78327*d**3 - 248977*d wrt d.\nAnswer: -469962*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1924 and -1340953756.\nAnswer: -1340951832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*h*(h\/((h**(-8\/3)*h*h)\/h)*h*h)\/h*h\/h**6*h\/(h\/((h*(h\/(h*(h\/(h**(1\/4)*h)*h)\/h))\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 2*m**5 + 2*m**5 + (-2*m - 2*m**2 + 2*m)*(2*m**2 - 2*m**2 - 2*m**3) + m**5 - 7*m**5 + 3*m**5 + 0*m**5 - 5*m**5 + 4*m**5.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 296\/11*b**3 + 0*b - 200\/11*b**2 - 94\/11*b**4 + 0 - 2\/11*b**5 = 0.\nAnswer: -50, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-27)\/(-6))\/((-24)\/6944). Let q = 2002 + p. Round q to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52737233 to the nearest one hundred thousand.\nAnswer: 52700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7222 + 7174. Is -530\/11 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lffiffjifniifflf. What is prob of picking 2 f?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*i**2 + 1958*i**2 + 666*i**2 - 4078 + 4078.\nAnswer: 2807*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, 0.00002, 1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/108 and 79\/21?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1348 + -0.2652. Let c = -174.7 - -175. What is the second biggest value in -1\/6, 10, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -95*c**2 + 635*c + 210 = 0. Calculate c.\nAnswer: -6\/19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 15, 16*t - 14*t = 5*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 14*i + 0 - 20*i + 2)*(0*i + 6*i - 2*i) to r + p*i + h*i**2 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = r + f, -13*f + 20*f = 11*r + 6*r - 20*r - 75 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 2*f + 6*f - 7*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 + -295. Is ((-518)\/(-18) - z\/36) + 1 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - -3 - (150 - (151 - 31)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1029 divided by -27236\nAnswer: 1029\/27236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*f + 490*f + 23*f.\nAnswer: 749*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -1a11ef?\nAnswer: -1a11ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 40\/1457?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3522*t - 1740*t = 1962*t - 671832 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.836029 rounded to three decimal places?\nAnswer: 6.836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-189) - (-116)\/14. Solve u*a - a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 2, 0.1, -5, -4, 1.08, -168?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2470*w - 2474907. Give d(1002).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = -6*d. Put d, 134, 2 in increasing order.\nAnswer: d, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**5 - 6*r**4 + 6*r**3 - 6. Let k(y) = y**5 + y**4 - y**3 - y + 1. Let b(n) = 6*k(n) + l(n). Find the second derivative of b(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u*x**2 - 10*u*x + 16*x**2 + 21*x wrt x?\nAnswer: 2*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7621, 10485, 8593, 1945, -9459, -25619?\n\"Answer: -2378*s**2 + 9998*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -480 + 36. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 45. Let v be c(18). Suppose j = v*j - 32. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 - 234 = 194*z - 372. Suppose -18\/11*x**2 - 18\/11*x**3 - 36\/11 + 6\/11*x**z + 6*x = 0. What is x?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/3)\/(a**3\/a)*(a\/(a*a*a**1*a*a))**(4\/15)*(a\/(a*a**(-5))*a**4)**(-25) assuming a is positive.\nAnswer: a**(-3416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -557\/6 + 853\/12. Find the common denominator of d and 81\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a factor of 153988422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(250\/15)*-4*110\/66?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/((32\/80)\/((-352)\/80)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.1. Let j = -180 - -180.4. Let y = p + j. Which is bigger: y or -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2771*c**3 - 1154*c**3 + 5995*c**3.\nAnswer: 7612*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q**4 + 5*q**3 + 9*q**2 + 5*q. Let w(d) = 22*d**4 - 12*d**3 - 22*d**2 - 12*d. Let m(p) = 12*l(p) + 5*w(p). What is i in m(i) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53604\/7 greater than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340859 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-8)*488\/183?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3259, 3278, 3299, 3322?\nAnswer: 3347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 16 - d**2 - d**2 + 3*d**2 + 4*d - 2*d. Let t = 0 + 0. Is c(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 28 = -3*s - 2*c, 3*c = -12. Let a = -10 + -5. Let r = a + s. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5155017.\nAnswer: 3, 7, 245477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/15*(17\/4 - (3 - 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**3 - 12*m**2 + 17*m + 14. Let u be j(2). Solve 13*a + 17 = u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228794 is divided by 301?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13858?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 13) to base 16.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*o + 4. Let i be 2\/8 + 2\/(-8). Let p(w) = -5*w**2 + 3*w**o + i*w**2. Let v(h) = h**2. Give v(p(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718 = 225*b + 943 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824 + 1906 = -195*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(560))\/(1*sqrt(15)\/sqrt(3)))**2*-5.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = i + 2*i. List the prime factors of i\/(-9) - (-244)\/36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(2496)*1 + 1*(sqrt(2496)*-2 + sqrt(2496)))\/(1*sqrt(363) + sqrt(1323)\/sqrt(9)))**2.\nAnswer: 10192\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-70)*55\/407*(-14)\/(-4)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 51. Let s(f) = -f**2 + f + 10 - 32 + 3*f + 16. Give s(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21586, -43181, -64798, -86449, -108146?\n\"Answer: -2*l**3 + l**2 - 21584*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9130 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 421012.\nAnswer: -42101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/25*14\/(-147))\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 46*v - 198. Let k be u(15). Which is smaller: k or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsxx when four letters picked without replacement from txxxxxssxsxxxxtxxxxx.\nAnswer: 91\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5960 = -7*h - 5876. Let k(c) be the third derivative of h*c**2 - 1\/240*c**6 - 1\/60*c**5 + 0*c**3 - 1\/48*c**4 + 0 + 0*c. Solve k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*r*r**(-18\/5)*r*(r*r**(-3\/5))**(7\/9))**(-7) assuming r is positive.\nAnswer: r**(3556\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lau when three letters picked without replacement from {l: 1, b: 1, g: 1, a: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 1 + 0*g**2 + 0)*(2*g**2 - g**2 + 0*g**2) - 2*g**4 + 2*g**4 + 3*g**4 + (0*g**2 + 2*g**2 + 0*g**2)*(2*g**2 + 0*g**2 - 3*g**2).\nAnswer: 2*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27246, 27252, 27260, 27270, 27282, 27296, 27312?\n\"Answer: x**2 + 3*x + 27242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 583.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 7) + (0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -1146, -4095, -9836, -19299, -33414, -53111?\n\"Answer: -155*a**3 - a**2 + a + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 5*b - 2*b)*(176*b**3 - 360*b**3 + 114 + 180*b**3 - 2*b**2 + (5 - 2 - 4)*(-3*b**3 + 0*b**3 + 2*b**3)).\nAnswer: 6*b**4 + 4*b**3 - 228*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/25 (b) 4.7 (c) -42 (d) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -4, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, z: 1, h: 1, d: 2, q: 2}. Give prob of sequence qt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 198, 288, 378?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -99743?\nAnswer: -99741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3985972381759 minus 0.11?\nAnswer: -3985972381759.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723773 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19075?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/(2\/(-171)). Suppose -18 = 3*p + y. Let j = p - -63. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-36)\/8)\/3 - 0)*-2. Suppose -t*v + 6 = -v. Suppose 27 - 2 = c. Solve 5*r = 5*x - c, -4*x = -v*x - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 56?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129.6 + 129.3. Let b be 121\/78 - (3 - 2). Let u = 3\/26 + b. What is the nearest to k in u, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 - 897\/5. Let q = 15477\/23 - 673. What is the second biggest value in q, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a + 84. Suppose -a = -3*m - 9. Suppose -m*q = -y - 67, -5*q + 2*y = -2*q - 44. What is the remainder when 53 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -88) + -2 - -3. Let x = 149 - p. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 1)*(-4 + 1 + 0)*(2 - 3 + 10)*(-p + 6*p + p)*(4 - 1 - 4) to the form m*p + z and give m.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*u - 18 + 18 + (2*u - 5*u + 2*u)*(0 + 1 + 1) + u + u - 3*u.\nAnswer: -119*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/21 and -43\/364?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) - 28\/6. Let x(s) = s**3 + 4*s**2 - 4*s - 1. Let p be x(t). Let h = p - -5. Let j(y) = -y**2 + 2*y + 1. Determine j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -3 + 7*h + 2\/5*h**2 - 1\/15*h**3 - 1\/30*h**4. Solve y(c) = 0 for c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*b + 9 = 0, 2*b = 5*i + b + 45. Let j(f) = 16*f + 138. Determine j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5143233?\nAnswer: 3, 1714411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4523 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/27)*v**(3\/2)*(v**(-6\/25)*v)\/(v\/v**15) assuming v is positive.\nAnswer: v**(22151\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -192?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 45, 93, 157, 243, 357, 505, 693?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + k - 792, 0*k = -2*f + k + 1569. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-359*t**2 - 2428*t**3 + 1068*t**2 - 353*t**2 - 356*t**2)*(-2*t + 0*t + 0*t).\nAnswer: 4856*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 - 5*i**2 - 3*i + 58. Let y be z(-6). What is the highest common factor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 4*d - 3*d + 3 - 14*d + 2*d**2. Let i be x(10). Let o = 2 - -4. Solve 0 = -4*f + 3*j + 1 - o, 0 = i*j + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -2.12. Which is bigger: -0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.48.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 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: Is 40388142 a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*p = -476, -3*h + 107 = -2*h + 3*p. Let j = h + -112. Calculate the greatest common divisor of j and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**2 - 2*v + 1. Let z be ((-4205)\/145*(-6)\/87)\/2. Let g(c) = c. What is z*k(d) + g(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -730 + 717. Let d(x) = -x**2 - 6*x + 124. Let u be d(r). Solve 30 = -s + u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1360121, -2720242, -4080363, -5440484?\n\"Answer: -1360121*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-1) - (7 - 2). Solve -f*r + 10*r + 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115314867097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - 0.1. Let t = 51 - 51. Let i = -4 - -3.7. Which is the nearest to t? (a) x (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1586.482 + -1586.6. Is i >= -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.068 + -0.068. Let o = -8.78 + t. Let b = o + -32. What is b rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 46. What is v(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 3}. What is prob of picking 1 k and 2 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from ttttotttoootto.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 262.\nAnswer: 3406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**5*o + 14*m**5 + 9*m**2*o + 5*m**2 + o wrt m?\nAnswer: -360*m**2*o + 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -375*m + 362*m - 182 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5898 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*y - 6 = 0, 0 = 5*l - 10*y - 16 + 31 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 731. Let p be l(0). Suppose -p = -2*i - 89. Suppose 0 = 4*t - 79 - i. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5792\/6*(-27)\/12. What is the hundreds digit of y\/(-8)*(-2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635171?\nAnswer: 3, 545057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -717881\nAnswer: 84\/717881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28432 or 28427?\nAnswer: 28427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/7 - 2*o**4 + 4*o**3\/7 + 92*o**2\/7 - 130*o\/7 + 50\/7.\nAnswer: -2*(o - 1)**3*(o + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(29476*c**3 - 29476*c**3 - 570*c**4).\nAnswer: -570*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 6*m - 3*m + 47*m as g + t*m and give t.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + 0*l**2 - l**2 + (3*l + l - 5*l)*(-4*l - 3*l + 3*l) + 27*l**2 + 20*l**2 - 29*l**2 + (3 - 4 + 0)*(-l**2 + 0*l**2 + 0*l**2).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from flwlf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/12 - -2 - 1. Let i = -97\/2 - -50. What is the second smallest value in r, -0.6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 218 = 5*f, 107 - 268 = -3*p + 5*f. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r = 0. Let j(h) = -94 + 2*h - 85 + 271 + 3*h - 89 - 6*h. Give j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*f**4 - 12 - 8*f**4 - 5*f**4 - 4*f**4 wrt f?\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - w - 312 = -2*q, 4*w + 324 = 2*q. Suppose -q = -3*m - 49. Suppose l + 6*g - 2*g = m, 5*l - 271 = 4*g. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:42 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/27)*l**(-6))\/(l*l*l**(3\/7)*l)**(3\/11) assuming l is positive.\nAnswer: l**(-14264\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.4, -2\/19, -200\/51?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 + 93. What is the nearest to h in -5, 1\/3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -657994*d**3 + 411042*d.\nAnswer: -3947964*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2554432)\/96*(-6)\/4. Suppose 3883 = u - 4*y - 4082, 2*y = -5*u + o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2591 or 1?\nAnswer: -2591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 712 + -675. What is the remainder when 479 is divided by t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 11:57 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -4 + (-3 - -8) - (-32 + 41 + 31)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 5*r - 46. Let v be g(10). Suppose -v*d + 3*d + 5 = 0, d = -4*b + 5. Let t(k) = k**3 - 32. Calculate t(b).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + sqrt(405) + (sqrt(405)*3 + -2 + sqrt(405) - sqrt(405)))**2.\nAnswer: -180*sqrt(5) + 10129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122545.\nAnswer: 5, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 5*r**2 - 58*r + 5. What is f(9)?\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3\/5*w - 1\/5 + 2\/5*w**3 + 1\/5*w**5 - 2\/5*w**2 + 3\/5*w**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -586 + 649. Is s a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 24*f + 12. Let q be z(-24). Let y(c) = -2*c - c + q*c - c. Let p(a) = -34*a**2. Calculate p(y(r)).\nAnswer: -2176*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 2, m: 1, n: 1, j: 1, z: 2}. What is prob of picking 1 m, 1 j, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5*u + 15 - 2 - 9.\nAnswer: 5*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -99 in ascending order.\nAnswer: -99, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1936620 and 27260?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 855180578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 17*o - 5 - 3*o**2 - 35*o + 16*o in the form y*o + t*o**2 + n and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:52 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10798 is divided by 4743.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1401*v + 8304 = -1389*v. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Let n be p(5). Find the third derivative of n*t**6 + 3*t**6 - t**2 - 3*t**6 wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 7*t + 16. Let m be x(5). Suppose 336 = 12*f - m*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g - 18. Let x(h) = -6*h - 17. Let v(t) = 4*x(t) - 3*y(t). Suppose 6 - 14 = q. Let s be v(q). Is 9 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 53 + (-7 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32130 is divided by 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:29 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)*-2 - sqrt(4))\/(sqrt(2) - 2*sqrt(72)).\nAnswer: 23*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 362658 and 5499?\nAnswer: 664752114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3468, -2550\/11, 4 in decreasing order.\nAnswer: 4, -0.3468, -2550\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 2852 - 7836. Calculate the greatest common factor of h and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/4 + (-4)\/8. Let b(m) = 5 - 11*m + 3*m + 7 + m**2 + 19*m - 1. Determine b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 407 * 0.128.\nAnswer: 52.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g - 4 + 137*g**3 - 136*g**3 - 8 - 8*g**2 - 9. Calculate the remainder when 265 is divided by o(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*m + 13*b = 210*m - 8*b + 18*b + 66, 130 = 14*m + 4*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/3, -7, 1, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 465430088 to the power of 1\/3, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1380.74 + -1392. Let u = q - -10.9. Let r = u + -0.64. Which is the nearest to 0.1? (a) r (b) 2\/11 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.026 (b) 1\/3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 53\/39?\nAnswer: 53\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g. Let f(v) = -7*v**3 - 7*v. Let m(k) = -k**2 - 4*k - 3. Let h be m(-2). Give h*f(l) + 6*a(l).\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 18. Let w = -727 + 608. Let o be 3 - (-5 - w\/14). Put v, -1, -2, o in descending order.\nAnswer: o, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91321259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 223.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-562)\/(-8) + 2\/(-8). Let c be 561\/21 + 20\/z. Calculate the greatest common factor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 53. Let i(y) = 12*y - 10. Calculate the lowest common multiple of x and i(4).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 16. Let w be m(-8). Let a = 25 - 112. Let i = a - -84. Put 3, w, i, -1 in descending order.\nAnswer: 3, w, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141*m**3 - 37*m**2 + 2*m.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8413361 from -632176.46.\nAnswer: -632177.3013361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 78. Let f = z - 38. Which is the second smallest value? (a) 0.7 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 308633625.\nAnswer: 308633625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44\/13*u - 2\/13*u**2 + 0 = 0. Calculate u.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 a when four letters picked without replacement from aasaarssasr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1517091578 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3157484 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 5*v**6\/6 - v**5 - 5*v**4\/2 + 10*v**3\/3 + 5*v**2\/2 - 5*v + 13. Suppose t(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*r + 131*r + 24496 = -343*r + 2464 for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 4*h - 2*h)*(59 + 36*h**2 - 67*h**2 + 33*h**2 + 2*h) to the form r*h**2 + y*h + i + f*h**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25106449 is divided by 443.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 10, 4*r + 828 - 178 = -32*g + 6*r - 754 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 + -0.2. Let d = -1873\/15 - -125. What is the closest to 0 in 0.1, d, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300185938 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 67, 71, 77, 85?\n\"Answer: v**2 + v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1220302213?\nAnswer: 1220302210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/(g*g**(-1)*g*g)*g**(1\/4)*g\/g**(1\/4))**(3\/10) assuming g is positive.\nAnswer: g**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.00027 times -9\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -2.4296716\nAnswer: 2.7296716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*k*u - 12*c**3*k - 16*c**3*u + 14*c**2*k - c*k*u + 2*c*k - 8*k*u wrt c.\nAnswer: 6*k*u - 72*k - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*(-1)\/(9\/(-78)*-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 2*u**3 - 3*u**3)*(4*u - u - 5*u) - 4*u**4 + 3*u**4 + 3*u**4 + 28*u**2 - 3*u**4 + 6888 - 6888.\nAnswer: -5*u**4 + 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -89020000 + 0*11\/110. Round y to the nearest one million.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*k**4 - 1251*b + 3710*k**4 - 55 wrt k?\nAnswer: 8*b*k**3 + 14840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 4. Suppose 5*f = -4*v - 58, -4*f - 37 = -2*f - 3*v. Let p(i) = 9*i - 9. Calculate f*y(q) + 6*p(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 4419?\nAnswer: 4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, -98, -882, -1666, -2450?\nAnswer: -3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 10*m**7\/7 + m**3\/3 - 75*m**2\/2 + 14. What is the third derivative of d(g) wrt g?\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526b (base 15) in base 7?\nAnswer: 101543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 101*h + 10. Suppose 5 + 11 = 16*v. List the prime factors of d(v).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*y + 34. Suppose -y*r + p = -3*p - 9, -3*r - 3*p = 0. Is 10 a factor of 51\/2 + r\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9032.70999952 - -9032.81. Let y = 0.1 - c. What is y rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.6 - 22. Let n = -25 - -101\/4. Which is the nearest to n? (a) -5 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1983289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/22 and (-5)\/188*(-46)\/(-92)?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d + 7. Let a be v(6). Let x = -26 - a. Suppose -5*h + x = -30. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1312176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*b - 15*b - 8*b)*((-3 + 2*b + 3)*(4 + 1 - 3) - 4*b + 3*b - b) in the form s + c*b**2 + j*b and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 458*h**2 - 85*h**2 + 377*h**2 + (5 - 3 - 4)*(2*h**2 - 5*h**2 - h**2).\nAnswer: 758*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -13. Let m = 46 - p. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*i + 34*d*q**2 + i*q**2 + i*q - 3*i wrt d.\nAnswer: i + 34*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-66) - 0)*(-3)\/(-1). Let m = 6 + -6. Which is the second biggest value? (a) 2 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -130) + (1016 - 1103).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - y + 7 = 0, -6*j + 2*j + 5567 = -2*y + 5533 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 1266*r - 1257*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a factor of 6383121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -601 at most as big as -618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 17*x**2 - 18*x + 26. Let k(z) = -z**3 + 17*z**2 - 17*z + 26. Let f(p) = 7*k(p) - 6*q(p). What is the hundreds digit of f(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + u**2 + u**2 + (2*u + 8*u - 8*u)*(0 + 0 - 2*u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234395471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/1587?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-4)\/(-16)*-6. Let r(m) be the third derivative of 4\/3*m**v - 3\/2*m**4 - 9\/40*m**6 + 9\/10*m**5 + 2*m**2 + 0*m + 0. Let r(u) = 0. What is u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -11\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1792 + 1793 - 5395 + 410*y + 1787)*(-1 + 1 - 2).\nAnswer: -820*y + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2238 - 13427\/6. Which is the third biggest value? (a) 0.5 (b) h (c) 2\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37348?\nAnswer: 2, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4925?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1169170 divided by -13595\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 + -105. Suppose 0*v - 4*u + 7 = -3*v, 3*u - 3 = 0. Which is the closest to 2? (a) v (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w = 50*w - 95*w - 18 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 41*z**2 + 50*z - 4. Is y(42) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - 4*p + 298664*p**2 + p - 95 - 298667*p**2 to the form k + b*p**2 + d*p + f*p**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 297*c. Let n(t) = 3*t**2. Give n(x(q)).\nAnswer: 264627*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 84800000 to the nearest one million.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z**2 - z - 1. Let s(y) = 18*y**3 - 6*y**2 - 6*y - 6. Give s(m) - 6*w(m).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.69 and -32.8.\nAnswer: -29.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 613*g**2\/3 + 4976*g - 30000.\nAnswer: -(g - 12)**2*(g + 1250)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 9, l: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 373*q + 20827 - 22692 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v + 14. Let t be o(14). Suppose 3 = 5*u - 2. Let a be 1 + 12 + u + 0. What is the greatest common divisor of t and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -36833*p + 147337. Give m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 610 + -634?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 48 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekeemkgpwmkmeweee. What is prob of sequence km?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2268186 (base 11) to base 2\nAnswer: -1111000111110000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7*q = -3*l + 345, -2*q + 4*l = 224. What is the common denominator of (-1 - -2) + q\/20 and -111\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12029 - -12029.00010334. Round r to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*j + 80948 - 126317 = 0 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 699*u**2 + 681*u wrt u.\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157206507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*l + 37, 5*o + 10 = -0*l + l. Is 68 - ((-4)\/(-1) + o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46350 divided by -9270\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130587.3 less than -0.2?\nAnswer: -130587.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25555601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52302431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -r + 4*j + 13, -2*j - 26 = -4*r. Suppose r*l - 149 = 3*g, -2*l + 0*g = 5*g - 55. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 d when three letters picked without replacement from eevdvdddddddddddv.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177629 (base 10) to base 6.\nAnswer: -3450205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3365 and 213341?\nAnswer: 1066705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 8 + 1 + 0. Let o(v) = v**2 - 1. What is the remainder when o(-4) is divided by a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109847082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2912979 bigger than -2912980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-8)*(7 + 263\/(-38))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnhm when four letters picked without replacement from {h: 7, m: 5, n: 4, j: 3}?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1946 = 3*d, 16*d = 4*l + 21*d - 1542. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b + 64. Let v be c(-4). Suppose v*l - 3*o = 11*l + 1656, 0 = 4*l + 2*o - 6694. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, w: 5}. What is prob of picking 1 q and 2 w?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-3*1\/897). Let a = 172 + w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92351 and -11.\nAnswer: -1015861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let i = 3 + p. Let s be (-18)\/(-30) + (-24)\/(-10). Solve -2*y + 3*y + 4 = s*z, -i*y = -2*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1917 and 10115631?\nAnswer: 718209801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2918989 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) 1.1 (d) -4 (e) 1\/1109 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63168?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79223959127\/1036 - 76470988. Let a = f - 594\/37. What is the common denominator of a and 3129\/336 + -3 + 0?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -0.02366.\nAnswer: 1.97634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -7 - -12 - -25) + -13?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-6\/23)\/b)\/b))\/(b**(-4\/7)\/b)*b**38*b*b**32)**9 assuming b is positive.\nAnswer: b**(109881\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6965, -6964, -6963, -6962, -6961, -6960?\nAnswer: -6959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4*sqrt(200) + -3)*5 + 1 + 2 + sqrt(200) + -5 + -4 + sqrt(200))**2.\nAnswer: 3960*sqrt(2) + 64921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.98715052 + -9.77715. Let p = -0.21 + j. What is p rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/10, -1, 73, -1\/4, 75?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -515 - 493. Solve -v = -16*y + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 271887 + -0.189?\nAnswer: 271886.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)\/(v*v**(-13)*v)*(v*((v\/(v*v**(4\/3)))\/v)\/v)\/v*v\/((v\/(v\/(v*v\/v**(2\/15))*v)*v*v*v*v)\/v))**(2\/19) assuming v is positive.\nAnswer: v**(-42\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005894 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/8820 and 97\/1260.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333998139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.163523 to three dps.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 x when four letters picked without replacement from xaaaaxxxxxaaaaxxxa.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53.995939 - -3906.\nAnswer: 3959.995939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13817507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -2\/11, 4, 371, -0.6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwwwhwwwwwwhwwhwwwh. Give prob of sequence hhh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -78*q + 42*q + 53*q. Let r(l) = 42*l. Determine 12*k(i) - 5*r(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j + 2 + 24*j - 2. Let v be q(2). Suppose 3*g - 6*g + v = 0. Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 567 and 673029.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32769732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*o)*(o**2 - o + o) + 3*o**3 - 6*o**3 - o**3 + (-2 + 2 - 4*o**2)*(6*o - o - 2*o) - 2*o**3 + 2*o**3 + 2*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715602703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/27, 30, -6\/11, 0, -10 in increasing order.\nAnswer: -10, -6\/11, 0, 1\/27, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57421 - 5?\nAnswer: -57426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 306 (base 8) to base 3\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1911 divided by 1754.\nAnswer: -1911\/1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 650131207*p**2 - 224056392*p?\nAnswer: 1300262414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 34. Suppose 7*u - k*u = 12. Let t = 10 - u. Solve -9 - t = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/9, -1, -22, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 765 - 393 + 9*o**2 - 383.\nAnswer: 4*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07098810499 - 0.3.\nAnswer: -0.22901189501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 67*x. Let b(d) = -12*d**2. What is g(b(v))?\nAnswer: -804*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -6 (c) -0.4 (d) 3\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdbdblllbbbbbhjxl. Give prob of picking 1 d and 2 x.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 + 15*w**2 - 39*w + 34. Determine l(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*s**4 + 5370732\/5 + 612831\/5*s**2 + 3604572\/5*s + 2694\/5*s**3 = 0. Calculate s.\nAnswer: -446, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 4. Let i be o(-9). Let a(j) = -2 - 2 - 2 - 8*j + i. Give a(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**5*m)\/m)*m**4*(m**(-1)\/m)**39)**45 assuming m is positive.\nAnswer: m**(-3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 + 22*n - 53. What are the prime factors of y(3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5*(3\/(-15))\/(7\/(-21))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, j: 6, p: 1, w: 6}. Give prob of sequence wjww.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 15 = 3*b, -4*r = 7*b - 962 + 997 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -0.124, 30, -2\/21, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -261 + 371. Calculate the least common multiple of -88*((-1)\/2)\/(-62 + 63) and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -77, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -3*d**4\/4 - 7*d**3\/3 - 7*d**2\/2 + 5*d - 12. Let o(u) = 7*u - 2 - 4*u + 0 + u**3 + 3*u**2. Give 4*b(j) + 10*o(j).\nAnswer: -2*j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 15*l**2 - 2*l - 6. Let p(j) = j**2 - j - 1. Determine c(o) - 6*p(o).\nAnswer: 9*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 0 - u**2 + 26 - 14 + 7*u + 8 as d + s*u**2 + p*u and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 34 - 9)*((-3*u - u + 2*u)*(-4*u**4 + 3*u**4 + 2*u**4) + 2*u - 2*u - 2*u**5 - u**2 + 3*u**5 + u**2 + 2*u**5 - 8*u + 8*u).\nAnswer: -69*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 2*i**4\/3 - 10802*i. Let n(j) be the first derivative of 2 - 3 + 3 + 2*j**2 - 4. Give z(n(u)).\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 66 - 48 - 74 - 48 + 7*o - 10*o. Let n(c) = 2*c**2. Calculate u(n(p)).\nAnswer: -6*p**2 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7b (base 12) in base 6?\nAnswer: -11435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -494958 or -494977?\nAnswer: -494977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 0 + 36*v**3 - 3\/4*v**4 - 141\/4*v**2 = 0.\nAnswer: 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*g - 148 - 652. What is the highest common divisor of g and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - c + 84. Determine o(-8).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*q + 3*p, -5*q - p + 4 = -50. Suppose 2*w - 1 = q. Suppose -6 = -4*g + w. Sort 0.4, g, -0.4 in increasing order.\nAnswer: -0.4, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.607 + -1.393. Let d = 12 - 7. Which is the closest to 3? (a) d (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.124, -9, 5, 2\/35 in ascending order.\nAnswer: -9, 2\/35, 0.124, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-10 - (14 + 3))) - 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 358*o**2 - 4*o + 24. Let h(w) = 2*w**3 + w**2 + w - 6. Calculate c(y) + 4*h(y).\nAnswer: 5*y**3 - 354*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 6, w: 4}. What is prob of sequence ww?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(6\/8 - (-7)\/(-28)). Which is smaller: x or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.519617 rounded to one dp?\nAnswer: 947.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 4*q**2 + 2*q**2 + 3 - 5*q**2. Let o(d) = -4*d**2 - 3*d. Let m(g) = -g**2 - g. Let u(x) = 3*m(x) - o(x). Calculate v(u(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1230 or 1513?\nAnswer: 1230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/616)\/(1\/21)*(-2)\/21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 at least 1008\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + -2897452862.42?\nAnswer: -2897452861.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*a - 31, -3*a = 3*g - 0*a - 9. Solve -x + g*x = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = -4*m, 3*i + 11 = -5*m - 14. What is the closest to -1\/3 in i, 441, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - z + 8*z)*(947 + 26 + 713 + (-4 + 0 + 3)*(4 + 1 - 3)) to l*z + h and give l.\nAnswer: 16840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**5 - 24*m**2 + 8*m**2 + 2*m**5 + 14*m**2 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 16, 4*j = -3*a + 6*j + 386. Suppose 0 = -4*v - u - 30 + a, -26 = -2*v + 5*u. Calculate the highest common divisor of 253 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*q - 48*q + 493*q)*(4*q**2 - 2*q**2 - 5*q**2).\nAnswer: -1545*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 62 + 56. Let y(w) = -w**3 + 4*w**2 + 9*w - 34. Let h be y(4). Calculate the remainder when d is divided by (-5 - h\/(-2 + 1)) + 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 463, -1.\nAnswer: -1, 2, 3, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*r + 491*r + 54 = 978*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10653 divided by -11\nAnswer: 10653\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*q. Suppose q = 2*y - 12*y + 30. Let k be (2 + y)*1\/3. Which is the closest to 1? (a) -0.3 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 29*m**2. Let h(a) = 2*a**2 + 5*a. Give h(l(p)).\nAnswer: 1682*p**4 + 145*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*n + 754 = 0, 3*f = -3*n - 519 - 48. What is the common denominator of 1 - (f\/(-96) + 2) and 56\/11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26873, -110786, -250647, -446462, -698237, -1005978?\nAnswer: -1369691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 7*i**5\/20 + 13*i**4\/24 - 25*i**2. Find the second derivative of c(q) wrt q.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**9*c)**(8\/9) assuming c is positive.\nAnswer: c**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25*71\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/1*16\/(-2184)*-7.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 48181056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2575*n**4 - 443?\nAnswer: 10300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 2*d**2 - 34 - 11*d**2.\nAnswer: -9*d**2 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11010110000?\nAnswer: -11010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1736 = 3*z - 5*h, -9*z = -12*z + 3*h + 1746. Let n = z + -625. Which is greater: -1\/4 or n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -286*k**2 + 22*k + 64. Let n = -36 + 17. Let p be z(n). What is p rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 2*n**2 + 5*n - 1. Let k be g(-2). Suppose -k*x + 2*i = -14603, 2*x - 5840 = -27*i + 29*i. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21324 - 8*d**3 - 21324 + 43*d - 43*d + 10*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4220.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - (-27)\/(-9)) + -13. What is the nearest to m in -1, -111, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43491031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 177.93789 months?\nAnswer: 1.48281575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a386 + -b?\nAnswer: 2a377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -1\/7, 1, -1, 1\/1030?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355319105.\nAnswer: 5, 43, 73, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 89277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*(126\/(-35))\/(-6))\/3?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8673976 divided by -2?\nAnswer: -4336988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -437\/5 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/11*(-2 - -3 - 0).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 413*g + 4. Let z(p) = 412*p + 4. Let f(c) = 5*t(c) - 6*z(c). Let w be f(-2). Round w to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*w**3*y**3 + 2*m*w**3 - 38*m*y - 2*w**3*y + 47*w*y**5 wrt y?\nAnswer: 6*m*w**3*y + 940*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 16 - 83 = 0. Solve m = -34*i + 37*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 3)**2 + -2 + (4*sqrt(24)\/(-3*sqrt(12)))**2.\nAnswer: 72*sqrt(2) + 2687\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 - (-6 + 1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 12322296.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 869 + 731 = 0. Solve -35*i = -r - 59 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586 + 1303 - 22*n + 767 - 222.\nAnswer: -22*n + 2434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18983 + -759201\/40. Find the common denominator of g and 5\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 3018*s**2 + 1518054*s - 254527054.\nAnswer: 2*(s - 503)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-1)*((-7)\/(728\/48))\/((-32)\/104).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20545 and 167080158.\nAnswer: 835400790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 185.5442 seconds?\nAnswer: 185544200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-22))\/(2682\/19668).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -0.7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4005280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 1 + 6 + 0*m. Suppose 2*q - 30 = -4*k, -k = -2*k - 2*q + 15. Let y be 27\/k + (-46)\/115. Determine h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(1575\/800) + 21.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.165926035 + -0.165921835. Let y = 22 - k. What is y rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(150)*-2)\/(-5*(sqrt(288) + 4*(sqrt(288)*-1 - sqrt(288)))))**2.\nAnswer: 4\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589 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: (16\/6*124\/496)\/((-29)\/3)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 11*i**4\/3 - 6*i**3 - 4*i**2 + 8*i - 4. Factor p(x).\nAnswer: 4*(x - 1)*(11*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + 19*p - 134. Let x(d) = 3*d**2 + 15*d - 89. What is 5*n(a) - 7*x(a)?\nAnswer: -a**2 - 10*a - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = -7*k. Let g(u) be the third derivative of 1\/6*u**4 + 0*u**3 + 0 - 3*u**2 + k*u. Let t(q) = 9*q**2. What is t(g(n))?\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -384*d + 379*d - 7493, 5*d = -4*p + 9979. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -1799277.\nAnswer: -1799273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f + 1)*(4 - 2 + 0)*(1 - 1 + f)*((0 - 3 + 1)*(-f + 3*f + 0*f) - 2*f + 5*f + 0*f - f + f - 2*f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 4. Let l be p(-3). Let s = 62 - l. Calculate the highest common divisor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 95*x - 12. Let p(q) = -5*q**2 + 477*q + 65. Determine 11*f(n) + 2*p(n).\nAnswer: n**2 - 91*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/15)\/((-1)\/(1 + 2)). Let v = 13 - r. Calculate the least common multiple of v and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9655 or 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 8*k**5\/21 + 6074*k**4\/21 + 16434*k**3\/7 - 200686*k**2\/21 - 259930*k\/3 - 21028 = 0.\nAnswer: -751, -7, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/31, -1, 0.2 in descending order.\nAnswer: 1, 0.2, 4\/31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/8 and 77\/46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1332110313222 - 33?\nAnswer: 1332110313123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16b + 0?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 15*f - 32. Let g be c(17). Suppose -g*r - 3*u + 310 = -145, 0 = -2*r + 5*u + 495. Round r to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246874105 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -395 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 1.4, 5, 3, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 5*a - 4, 0 = 5*f + 2*a + 523. Is -102 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21948847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-160)\/(-81))\/(1\/(-30)). Is c < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.91 - -0.09. Let y = -4.9999 + i. Round y to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 - 172 = -6*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*f + 458455 - 454426 = 0 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(8 + (-10)\/1) - (-1 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1 - j - 2 + 0*j. Let p be d(-7). Let a = 80\/3 + -26. What is the nearest to -2 in p, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 473\/5 - 95. Are f and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (sqrt(44))**2 + 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6484\/17831*11\/13\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*70\/(-15). Let a(y) = -y**2 - 7*y + 10. Suppose j + 46 = 4*j + 4*c, 0 = 4*j - c - 36. Calculate the lowest common multiple of a(i) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1295\/(-130) - -6))\/(1\/6).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 2:24 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + 7 + 2. Let u be (54\/n)\/((-2)\/(-8)). Let w = u - 14. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-400)\/(-18) + 8\/(-36). Suppose 3*u - d = 56. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 8 = -8*s. Solve 0 = -3*r - s - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*y - 40 = -0*g, 5*y = -g + 8. Let z be g + 1\/(4\/(-16)). Let s(b) = z*b + b + 4*b - b. Let i(x) = -2*x**2. What is s(i(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3015 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3*t + 2168*l**3 - 2*l**2 - 30851754*l*t**4 - 48*l - 94 wrt t.\nAnswer: l**3 - 123407016*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -853.029 - -854. Let w = p + 0.029. Which is the closest to 0.2? (a) -2\/7 (b) -3\/4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 182 = 137 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from hgejghhencenche?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 56*s**5\/5 - 5*s**3\/3 - 5*s + 85. Find the third derivative of n(x) wrt x.\nAnswer: 1344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(12*g**5 + 2*g**5 + 0*g**5).\nAnswer: -28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*60\/(-8)*256\/96?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -858?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 582643747.\nAnswer: 582643746.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4273045.8 to the nearest ten thousand.\nAnswer: -4270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 7 + 5*y + 3*y - 2*y. Let p be h(-7). Let o be 3\/6 - p\/(-4). Solve -o*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -944.\nAnswer: -2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.0211 + -0.1211. What is the smallest value in c, -4, -2\/11, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6 - (4 - 0) - 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from msbmbsllm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*7\/(-112)*(-160)\/(-600).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s + 0*s - s)*(-1 + 4 - 1) + s + 0 + 0 + 2*s + s - s + (-1 + 6 - 3)*(2 - 2 - 3*s) + 18*s - 20*s - 45*s)*(-3*s + 2*s + 3*s).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.69601us in minutes?\nAnswer: 0.0000036949335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -270.108?\nAnswer: 270.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/220 + 101*w**4\/66 + 45*w**3\/22 - 2737*w**2. Find g such that h(g) = 0.\nAnswer: -1\/3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1128*l + 24196 + 6417 = -0*l + 3541 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464595 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.985214 centimeters in meters?\nAnswer: 0.03985214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(6))**2 + sqrt(2))*5 - (sqrt(44)\/(sqrt(2) - -1*sqrt(2)))\/sqrt(11).\nAnswer: 9*sqrt(2)\/2 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 2*s - 56. Let j be h(0). Let m = j + 35. Let g = m + 36. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/5 + 4*z**3\/5 + 104*z**2\/5 + 188*z\/5 + 18 = 0. Calculate z.\nAnswer: -5, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -420\/13 + 2\/13*d**2 + 46\/13*d.\nAnswer: 2*(d - 7)*(d + 30)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 84 - 19*b**3)*(b + 6*b - b)*(-2*b + 0*b + 4*b).\nAnswer: -228*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 4*o**2 + 0*o + 5*o**3 + 0 - 13\/6*o**4. Differentiate v(t) with respect to t.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816101247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31, -1\/3, -90\/1237?\nAnswer: -90\/1237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:58 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1250 and 1810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 14) in base 11?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3786 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**14\/h)\/h)\/(h*h*h**(-6\/13)*h*h))\/(h**(4\/3)\/(h*h**(-5\/2)*h*h)) assuming h is positive.\nAnswer: h**(673\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3\/3 - 6*a**2 + 9*a - 186. Calculate r(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 < -123392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 0.037 (c) 14\/5 (d) -65\/48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - 2\/(-1) - 3. Let q(z) = z**3 + 4*z**2 - 7*z - 6. Let w be q(-5). Suppose w*y = -o - 4, 3*h - 3*y = 66. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 239, 318, 363, 374, 351?\n\"Answer: -17*x**2 + 130*x + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 0 + 0)*(-3 + 3 - 1) + 8*a - 19*a - 8*a + 4*a - a - 6*a to the form x + l*a and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {e: 6, f: 1, s: 1, j: 3, l: 1, g: 5}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1544 + 1542. Which is the nearest to -1? (a) -2\/5 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + 1*sqrt(700) + 4*(sqrt(700)*-2 - sqrt(700)))**2*5)*4.\nAnswer: 4400*sqrt(7) + 1694040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/5, 0.111, -4, 3\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5285100 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/50*(40\/(-36))\/((-3)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*g = 72, 0 = 2*l + 5*g + 5 - 27. Let o be 98\/6 + (-2)\/6. Let a = 29 + o. Calculate the remainder when a is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*80\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/4*2\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(a**4 + a**4 - 4*a**4) - 2*a**4 + a**4 + 0*a**4 + a**4 - 2*a**4 - a**4 - 2*a**4 + a**4 + 0*a**4 - 154*a**4 - 44*a**4 - 62*a**4.\nAnswer: -266*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 1245*u + 18479. Give v(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 2. Let w be r(0). Let k = 5 + w. Let 0*z**2 + 0 + 1\/2*z**k - 1\/2*z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:59 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - -2.04. Let u = -1604\/9 - -178. What is the closest to x in -0.5, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -816, -815, -814?\n\"Answer: n - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/495120 and -79\/232?\nAnswer: 14358480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 4. Let s = 62033\/8 - 7754. Let p(z) be the third derivative of -s*z**4 + 0*z + 0 - 6*z**2 - 1\/3*z**3. Give -2*g(k) - 5*p(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476400434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5187 and 2184?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-3 + 3 - 2*w) - 23 + 23 - 39*w.\nAnswer: -45*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2623\/3 + 875. Suppose -2\/3*p**2 - 4\/3*p - y = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 36, 20, -1\/3, -2.4, 1?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2935522871 to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*q + 493 + 147 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1287 + 0.0675. Let j = k - -0.0612. What is the closest to j in -2, -5, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55 and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 16*j + 13. Let t(n) = -8*n - 6. Give 4*g(u) + 9*t(u).\nAnswer: -8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 2314143444?\nAnswer: -2314143440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1252 (base 7) to base 10.\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157660757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1 - 5*w - 1 + 19*w - 1. Let j be d(2). Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45a4 (base 11) to base 3.\nAnswer: -22021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2015 + -5?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -19, 0.4 in increasing order.\nAnswer: -19, -1.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**0*u))\/u)**12*u**4\/u**1 assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**7\/630 + n**6\/90 - n**5\/60 - n**4\/18 + 2*n**3\/9 - 19*n**2. Factor h(z).\nAnswer: -(z - 2)**2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.1166 + -0.1366. Let k = -13 + v. Let o = -0.12 - k. Which is bigger: 1\/5 or o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l - 24. What is the remainder when 31 is divided by t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 6*p - 18*p. Suppose -5 = -3*c + 1. Solve p = c*q - 2*q + 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 1\/3, 464, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1779 divide 17629333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30698 by 1.\nAnswer: 30698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3033005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5988139.\nAnswer: 5988139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 611.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 60 + 80 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 158575561?\nAnswer: -158575566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43229*m**2 + 5*m**3 + 21617*m**2 + 21612*m**2.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (203\/21 - 9)\/((-10)\/9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 53. Let l(i) = 299*i - 1475. What is the least common multiple of n and l(5)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o - 16*o - 122*o.\nAnswer: -155*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 281238 and 29604.\nAnswer: 562476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 121. Let a = -20 - o. Let y be a - 2 - (1 + -4). Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*z - 25 - 103 = 0, 0 = 2*p - 3*z - 128. Suppose 60*s - 14680000 = p*s. What is s rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/4 + 2777*n\/4 + 694 = 0.\nAnswer: -2776, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18656, -74618, -167888, -298466, -466352, -671546, -914048?\nAnswer: -1193858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -38729925*u**2. Let j(d) = 6*d**2. What is t(j(z))?\nAnswer: -1394277300*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*v - 32*v + 57*v + 30 + (2 + 2 - 2)*(3*v - 2*v + v) + (-4 - 3 + 5)*(9*v - 9*v + 7*v) as l*v + x and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 16263691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -297, -401, -403, -321, -173, 23?\n\"Answer: -3*b**3 + 69*b**2 - 290*b - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*m + 321*m = 3*x + 9, 0 = -4*x - m - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 16. Let z be (k - 3) + 2 + 10. What is the third derivative of -z*g**6 - 3*g**6 - 2*g**2 - 4*g**2 - 4*g**6 wrt g?\nAnswer: -1680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -584\/9 in -40226, -1\/8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/(-4))\/(4\/(-7)*(-12054)\/(-4592))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Suppose 3*p = -m*p - 33. Let h = -5 - p. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 15) in base 16?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672562049 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + w**2 + 1. What is n(-3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -13, 3, -3, 1, 192, 8 in decreasing order.\nAnswer: 192, 46, 8, 3, 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*h + 28, -9 = -h + 15*b - 19*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + 7 + -2 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/3236454 and 35\/13728.\nAnswer: 569615904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3597664.\nAnswer: 2, 7, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -3*j - 1\/54*j**4 + 0 + 0*j**3 + 0*j**2. Factor m(i).\nAnswer: -2*i**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*o - 26, -5*n - 92 = -o - 43 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -7*r + 0*r**2 + 0 - 4\/3*r**3. Let j(v) = -2*v**2. Determine y(j(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2300421219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffffffffyfff. Give prob of sequence fy.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(133)*-1)\/(sqrt(7) + (sqrt(56)*1)\/sqrt(8)))**2*-3.\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10520 - 3*f**2 - 3*f**2 + 5247 + 5255 - 2*f - f**3 as x + k*f**3 + u*f + i*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 4) to base 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5128216060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21307 - -1a4?\nAnswer: -21113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.48 in -3, 0.11, 5, 10, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.6109 tonnes in kilograms?\nAnswer: 662610.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clqqecqdqegccqdqq. What is prob of picking 2 e, 1 q, and 1 d?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 0 + -3)\/(3 + -2). Sort l, 4, 21, 4\/5 in descending order.\nAnswer: 21, 4, 4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*i = -112*i - 261776. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647509.\nAnswer: 647509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -2*x + 565. Factor -8*l**2 - 16*l**4 + 1 - 199*l**3 - 1 + x*l**3 + 4*l**5.\nAnswer: 4*l**2*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44b10b + -2?\nAnswer: 44b109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*a = -38, 3*y + a = 23 + 26. Suppose y = -3*b + 54. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttw. Give prob of sequence ttw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803.\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 11*c**2 + c + 15. Let v = -31 + 20. Let n be v*(1\/(-1) - -2). Let u be q(n). What is the greatest common factor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-2*1 - 0). Suppose 4*k + 4*c + 0 = -4, 2*c + 5 = k. Is i < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -19*l**2 - 6*l + 6. Let p(n) = -n**2 + n - 1. Let a = -6950 - -6949. Determine a*h(f) - 6*p(f).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + 2*(0 + sqrt(891)))*3)**2.\nAnswer: -648*sqrt(11) + 32112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 180899 + 6079 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:30 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 8}. What is prob of sequence xa?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351 - 61350?\nAnswer: -62031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 + 36*p**3 + 188*p**2 + 252*p + 104 = 0.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695358 is divided by 9379?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/21 + (-40900)\/(-42). Let i = 950 - k. What is the common denominator of i and -81\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*h + 2*h. Let f = -5 - -7. Let v = -6.5 + 7. What is the nearest to f in -1\/3, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-1323)\/(-882)*574\/(-78).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 18*q - 25. Let v(f) = -f**2 - 17*f - 25. Let u(j) = 5*m(j) - 6*v(j). What is u(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30366584 is divided by 14871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*a**4*i + 18436*a**3*i + 2862*a**2*i - 109*a**2 - a*i wrt a.\nAnswer: 672*a*i + 110616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/(-168) + (-46937)\/(-7) - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {c: 3, u: 4, v: 1, z: 5, x: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34421 - 0?\nAnswer: 34421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - 22*o + 9. Let t be l(3). Let w = 10 + -7. Calculate the common denominator of (t*(-14)\/63)\/(32\/w) and -30\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 9*w + 14. Let t be z(-10). Let c be ((-6)\/4)\/(3\/(-8)). Let h be c + -1 + 0\/(-2). Solve 4 = 3*s + y + 5, -y - h = t*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dibbdsgsiibdadd. What is prob of picking 2 s?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 20.265569?\nAnswer: 20.265569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.808, -0.02, 1\/86?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -1987, -6574, -15441, -30004?\nAnswer: -51679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7774 + 13283. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3636643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190 - 13*f**2 + 15*f**2 + 44 to the form g*f + w + n*f**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-6)*(6 + -27)\/(-7). Suppose -i*p - 4214 + 11606 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13)*-3 - (sqrt(78) + (sqrt(78) - (sqrt(78) + -3*sqrt(78))) + sqrt(78))\/sqrt(6).\nAnswer: -8*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68384580, 68384575, 68384558, 68384523, 68384464, 68384375, 68384250, 68384083?\nAnswer: 68383868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14605, 14596, 14607, 14638, 14689, 14760, 14851?\nAnswer: 14962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 70 - 28)*(-6*v**3 + v**3 + v**3).\nAnswer: 348*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-21720)\/480*(-54 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*b + m - 21, 5*b = 5*m - 80. Let g be 180\/42 - (-4)\/b. Find the second derivative of u**g - 18 - u + 18 wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241737*h**4 + 2*h**2 - 801391*h wrt h.\nAnswer: 2900844*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 + 46 + 135*m**2 - 96 with respect to m.\nAnswer: 270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24478 + -19448. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9687927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 17*z**6\/2 + 110*z**3\/3 - 325. What is the third derivative of l(k) wrt k?\nAnswer: 3060*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 5. What is the smallest common multiple of 1 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/(-7))*87\/((-6612)\/304).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187*m**2 + 168 wrt m.\nAnswer: 374*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + k - 34 = 0, 26 = p + 7*k - 2*k. Let m(d) = -d**2 + d. Let b be m(0). What is the remainder when 74 is divided by p + b + 2*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 177?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + w - 4 = -u - 28, 44*u - 182 - 75 = -w - 56 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 + 1000101?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 21 = 4*w, 0 = -y - 8*w + 5*w. Solve 11 = -y*v + 29 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -155189, -155132, -155073, -155012, -154949?\n\"Answer: i**2 + 54*i - 155244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4*-1)\/(35\/100*22\/385).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 26. Calculate a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + 27 - 45) + 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -1 (b) -0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17481)\/(-2) - ((-154)\/(-28) + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2)*2 - -2. Let g(r) = r**2 - 6*r - 7. Let c be g(7). Suppose c = l - 4*l. What is the smallest value in -2, l, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116640435 (base 7) to base 4.\nAnswer: 130033311222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320615 to the power of 1\/2, to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.9242 kilometers in centimeters?\nAnswer: 70092420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-2)\/(-4))\/(-9 - -8). Which is the closest to 1? (a) 0.3 (b) -0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4618981 is divided by 104.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynhnhnnhn. What is prob of picking 3 h and 1 n?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7627*u**3 - 7633*u**3 - 7661*u**3 + 22916*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13 (b) 1\/4 (c) -17 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/120 + 7*v**5\/60 + 5*v**4\/24 - 5*v**3\/6 - 2*v**2. Let y be q(-6). Does 20 divide 5\/2*20\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h**2 + 54*h - 37. Determine m(9).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 508 + -10a2626?\nAnswer: -10a2119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205312 and 46516.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 192453080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**2 + 79*o**2 - 582*o**5 + 84*o**5 + 3 - 754*o**5 wrt o.\nAnswer: -75120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49892)\/(-10)*(-200)\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 136765?\nAnswer: 2461770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 k, and 1 b when four letters picked without replacement from {b: 2, w: 2, k: 9, f: 6}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 71*z. Let r(l) be the second derivative of 0*l**2 - 1\/3*l**3 + 26*l + 0. Give r(x(f)).\nAnswer: -142*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 141*h**2 - 1325*h - 7. Calculate the remainder when x(10) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:11 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/18 and 107\/1642668.\nAnswer: 4928004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0*g**2 + 0 + 13\/12*g**4 + 3*g**3 - 18*g. Find the second derivative of v(o) wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.46 rounded to the nearest ten?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 5. Let v be z(6). Suppose 2 = -h + 2*k, -4*h + v = k - 0. Factor -1\/2*t**3 + 0*t + h + t**4 + 0*t**2 - 1\/2*t**5.\nAnswer: -t**3*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/14? (a) -3\/5 (b) -47\/3 (c) -4 (d) -5\/6 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53078919 is divided by 838.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1833591944 and -34769?\nAnswer: 1833626713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 - 4*n**3 + 24 + 0 - 2*n**3 + 0 + (5*n - n - 3*n)*(0*n**2 + 0*n**2 - n**2) - 15*n**2 + 6*n**2 - 2*n**3 + 0*n**3 - 3*n**3 + 3*n**3 + 8*n**3.\nAnswer: -n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22854723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 238 - (-1)\/((-3)\/(-9)). Suppose -s + 70 = -3*y - 6, 3*s + 4*y = k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:32 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16911506.\nAnswer: 2, 8455753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**3 - 96*t**2 + 8. Suppose q = -2*q - 4*l + 80, 0 = -q - 4*l + 16. What is the lowest common multiple of q and d(24)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m - 27*m + 1539505 = -3*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1428)\/272)\/(3\/24).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + v**4 - v**4)*(-v + 9*v + 0*v)*(-32 - 74 - 18 + 2 + 4 - 4 + (2 - 4 + 1)*(3 - 2 + 0))*(-1 + 2 - 3).\nAnswer: -1968*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -380, -1534, -3450, -6122, -9544, -13710, -18614, -24250?\n\"Answer: o**3 - 387*o**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15728 = -4*i + 3*u + 5939, -3*i + 3*u + 16248 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23.8 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**6\/3 + 8*n**5\/5 - 8*n**3\/3 - 2*n**2 + 14. What is w in c(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 19, 8, -17, -56, -109?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24416368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1472016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -100000001110100010010 (base 2) to base 3\nAnswer: -1222122120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 21*n + 5*n + 1 - 3*n. Let s be g(2). What is the greatest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5156 + 7583. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/54)\/((-2)\/18). Suppose c = 41*w - 40*w. Solve n + 3 = -m, 2*n = 3*m + w*m + 29 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 2247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43503, 174083, 391721, 696417, 1088171, 1566983?\n\"Answer: 43529*x**2 - 7*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26421 - -66585. List the prime factors of p.\nAnswer: 2, 3, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -19. Suppose -4*o - 2 = y. Let d = o + 0. What is the nearest to d in 0.3, -8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.846429 rounded to one dp?\nAnswer: 145.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) - sqrt(55)\/(sqrt(25)\/sqrt(5)) - sqrt(33)\/(sqrt(3)*-4))*4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44163 (base 7) to base 15\nAnswer: -3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1238, 2364, 3490?\n\"Answer: 1126*d + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -18 + 8. Let y be 14\/3 - (-4)\/(-6). Put x, y, 1 in descending order.\nAnswer: x, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 157, -156, -679, -1412?\n\"Answer: -105*m**2 + 2*m + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*z**2 - 61*z**2 - 10*z**2.\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -29*s**3 - s**2 + 1. What is h(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -477, -2, -14, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 2*m**2 - 4*m. Let s(c) = 161*c**3 - 333*c**3 + c + 171*c**3. Calculate -i(w) - 3*s(w).\nAnswer: w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:38 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24037 divided by 24037.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -10?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*3)\/((-30)\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p + 116. Let v be z(12). Let u be 5 + v\/(-14) + (-332)\/(-14). Solve -u*n = -33*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*n + 6 + 5)*(384*n + 24*n**2 - 384*n) to z*n**2 + p + d*n + y*n**3 and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -950 (base 12) in base 7?\nAnswer: -3645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68975532.\nAnswer: 2, 3, 79, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44204 - -c3?\nAnswer: 442c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1110010010111 (base 2) to base 8\nAnswer: 16227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = 2*d, 6*a + 5*d - 20 = a. Suppose 32 = q + 7*q. Solve -3*o - 2*x + 1 = 0, -a*o + o = q*x - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273315*u**5 - 22*u**4 - 2*u**3 + 25*u**2 + 215643*u - 3 wrt u?\nAnswer: 16398900*u**2 - 528*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*z**3 - 387*z**3 + 0*z - 6*z.\nAnswer: -z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 6*p + 5*p + 7 + p**3 + 0*p - 5*p. Let i = 1124 + -1126. Let m be d(i). Solve -m*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 8) in base 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*a + 18. Let n = 5 - a. Suppose -j + n + 3 = 0. Solve 5*s + 16 = 4*t, -t + j*s = 2*s - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05929587 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -162*v + 164*v. Let z(b) be the third derivative of 15*b**2 + 0 + 1\/2*b**v + 0*b + 4*b**3 + 1\/40*b**5. Factor z(o).\nAnswer: 3*(o + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 16*p - 18*p. Let k = 40 + p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(832)*2 - sqrt(832)))**2 - -1*sqrt(117).\nAnswer: 3*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2353 - -2383. Solve -2*l + 4*l = 2*s - 2, 5*l = -2*s + q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 15*j - 9. Determine d(16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i + 363. Let n(k) = -62*k + 1090. Determine -3*n(h) + 8*z(h).\nAnswer: 2*h - 366","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*h + 49 = -s, 3*s + h = -282 + 267 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 7*l**2 - 9*l - 12. Suppose -19 = 3*s + 5. Let f be q(s). Let r = 361 - 359. Which is the closest to r? (a) f (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x - 6. Let z(j) = j**2 + 22*j + 13. Let w(q) = 9*r(q) + 4*z(q). Is w(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhdhddhhddhhd. Give prob of sequence dh.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w**2 + 2*w + 108. Does 4 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -58*h + 23*h + 32*h - 34. Calculate the remainder when 73 is divided by n(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-8)*o)*o*o**(4\/9))**(-1\/35)*((o\/o**(-1))\/o**(3\/4))\/((o\/(o\/((o**(-4)*o)\/o))*o*o)\/o**4) assuming o is positive.\nAnswer: o**(1759\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 11:08 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3548377*-1\nAnswer: -3548377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2001, 4003, 6005, 8007, 10009?\nAnswer: 12011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375390.\nAnswer: 2, 3, 5, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqjovjyyyjb. What is prob of sequence vq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, 0, 4, 8, 12, 16?\n\"Answer: 4*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 + 1742 = 7*o. Calculate the remainder when o is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103812 (base 10) to base 13\nAnswer: 38337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 2926 = 5096. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*w**2 + 9 + 46 - 23*w + 22*w - 1 - 54.\nAnswer: 80*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 + -409643?\nAnswer: -409479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 150. Let i be k(0). Calculate the remainder when 1*(0 + (-4 - i)) - 0 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453228587 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 980, 991, 1008, 1031, 1060, 1095, 1136?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5, -4 in descending order.\nAnswer: 5, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*x**3 - 8*x**3 + 5*x**3 + (5*x - 4*x + 4*x)*(-4*x**2 - 12*x + 12*x).\nAnswer: -43*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1373, -5742, -13015, -23180, -36225, -52138, -70907?\nAnswer: -92520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*w + 3510, -1153 = 2*w - 3*w + 4*p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-2*t + 0*t + t)*(-1 + 5 + 2).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**5 - 505*p**4 - 2445*p**3 - 4355*p**2 - 3370*p - 960.\nAnswer: -5*(p + 1)**3*(p + 2)*(p + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = 0, -3*o = 4*d - 1 + 3. What is the remainder when 71 + 38\/12 + (-11)\/66 is divided by o\/(-9) - (-129)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 4*a**3 - 13*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14 - (2 - (4 - 3)). Let i = j - -23. What is the remainder when i is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929461197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 650 and 17550.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*s - 0*s + 270, 10 = -2*q. Let f = s + 61. Let g = 244 + -722\/3. Is g bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, and 1 q when three letters picked without replacement from mommbmlmqoqomqommlq?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12017*u - 21 = -12010*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3\/2 - 3\/2*d - 3\/8*d**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 285 = 2*s - 110 - 105 - 108, 108 = -8*m + 2*s for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5806584 by 13.\nAnswer: 5806584\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 + -1491965?\nAnswer: -1491862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27190.7 millimeters to meters.\nAnswer: 27.1907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*x + 4*r, -26 = -104*x + 109*x - r. Let l(j) = 14*j**2 - 17*j + 38. Let u(z) = -5*z**2 + 6*z - 13. Give x*l(s) - 17*u(s).\nAnswer: s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(24)\/(sqrt(36)\/sqrt(12)) + sqrt(8))*4 - (sqrt(114) - (sqrt(114) - (sqrt(114)*-1 - sqrt(114))*-6))\/(-6*(sqrt(6) + sqrt(150))).\nAnswer: 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -99*h**3 - h + 193*h**3 - 3*h**2 - 95*h**3. Let y = 104 + -66. What is the remainder when y is divided by p(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 0, 0.22, 0.3, -4.\nAnswer: -232, -4, 0, 0.22, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6727647 by -3.\nAnswer: 2242549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*i - 124 = -i - 1, 16125 = -672*q + 3*i for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*u - 157*u = -1680. What is the highest common factor of u and 544?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823987450.\nAnswer: 2, 5, 76479749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 755*g**3\/8 - 2358619*g**2\/4 + 921039548*g + 2439844 = 0.\nAnswer: -2\/755, 3124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5 + 238*c**4 - 46186*c**3 - 5486414*c**2 + 22492112*c - 22672952 = 0. Calculate c.\nAnswer: -137, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - a - 3359, 0*a - 2533 = -3*i - 2*a. Suppose -6*h - 151 = -i. What are the prime factors of h?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14717529 rounded to 4 decimal places?\nAnswer: -0.1472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156018023 is divided by 561.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.5 (b) -0.007 (c) 0 (d) -1 (e) 22 (f) -2\/95 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*x + 26892, -19*x - 3*h = -21*x + 17898. What are the prime factors of x?\nAnswer: 2, 3, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*i = 342*i - 672*i - 576 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 583\/284925?\nAnswer: 583\/284925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) 3 (c) -6 (d) 0.01 (e) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 56*r**3 + 75*r**3.\nAnswer: 131*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 + 15 = -7*w. Is 5\/w*3*-638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9303 rounded to two decimal places?\nAnswer: 5.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let n be m(2). Let o be 2 - 1\/(n\/(-36)). Let j = 24 - o. Solve -2*z + 2*q = 18, 3*q + 6 - 38 = j*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p + 4. Let u = 2 - -3. Let l be (-9)\/2 + u\/10. Calculate the least common multiple of 11 and y(l).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 103. Suppose 0 = -k*h + 23*h. Solve d - 1 - 2 = h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -897 (c) -2\/3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d9 + -3?\nAnswer: 9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22092344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 280*q + 312. Let f be c(123). Which is smaller: 4495 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -7.07?\nAnswer: -7.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-33) + 1\/(-3). Suppose -3 = 4*s + u. List the prime factors of s\/((-1)\/24) + 2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 9*z - 9. Suppose 3*r + 1 + 22 = -4*b, 4*b = -2*r - 22. Let u = b - 1. What is the units digit of p(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -13 + 0 + -23 + -12 - (14 + -3).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 9*j**5\/20 - 5*j**2\/2 + 11*j. Find the first derivative of d(m) wrt m.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.033 + 1.033. Put -5, y, -1, 4 in increasing order.\nAnswer: -5, -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose s = y - 6*y. Suppose y + 4 = r. Solve -r*d = k + 7, 0*d + 4 = 2*d + 2*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 - 224. Let p = 10 + -13. Let q = p + 1. Which is the third biggest value? (a) f (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c + 6. Let t(m) = 4*m + 12*m**2 + 2218 - 2214 + m. List the prime factors of t(c).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/4)*b*b)\/b)\/b*b*b*b**6*b)\/(b**(-9))**(-3\/7) assuming b is positive.\nAnswer: b**(151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41762 or -376?\nAnswer: 41762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*f - 70. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 + 0.16. Let t = -0.22 + s. Which is the closest to -2? (a) t (b) 1\/6 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22551149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 3:10 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oedoonnnneonennooe. Give prob of sequence edd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11027.\nAnswer: 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from fzwhhcfw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6648\/19 + 350. Let w = 0.48 + -0.48. Which is the nearest to -1? (a) w (b) -2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162395*n**2 + n - 3506768.\nAnswer: 324790*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s - 11. Let g = 19 + -13. Let c be p(g). Solve -h - 3 = -c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5817, -11542, -17267, -22992?\nAnswer: -28717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 6*a**2 - a - 6. Let p be m(-6). Let b = 1 - 2. Let d = b - p. Let w(o) = 3*o**2 + 2*o + 1. Calculate w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (15 - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/120 - 7*t**5\/30 - 7*t**4\/12 - 7*t**3\/6 + 66*t**2. Let m be h(15). What is the second smallest value in -0.03, -2, m?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -101010?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y. Solve v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472232466 to the power of 1\/2, to the nearest integer?\nAnswer: 49722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, 151, 787, 1655, 2749?\nAnswer: 4063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1931*l + 1445*l - 4433*l as n + j*l and give j.\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3432\/(-4290))\/((-5)\/((-25)\/14))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23125.38 milliseconds in minutes?\nAnswer: 0.385423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**2 + 1012*m + 1717. Determine l(-123).\nAnswer: -1727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 46 - 8. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2015, 6641, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.231 and 721551871.\nAnswer: 721551871.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (347*t + 35*t + 2276*t + 1045*t + 477*t)*(2*t**3 + 4*t**3 - 3*t**3) to the form n*t**3 + d*t**4 + a + g*t**2 + x*t and give d.\nAnswer: 12540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 15 - h**2 + 3*h**2)*(-4*h + 0*h - h) to g*h + w*h**3 + u + l*h**2 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + 0*w - 4*w - 8*w - 11*w - 14*w + (-1 + 1 - w)*(-2 - 4 + 5) + 4*w + 1 - 1 to the form s + a*w and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 12793 = -13053 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgggwggwggggg. What is prob of sequence wwg?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**7\/420 + n**5\/60 + n**3\/3 - 2*n. Let u(y) be the second derivative of a(y). Determine i so that u(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 30bde5?\nAnswer: 30bde2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*s - 0*s - 76, 0 = 2*s - 2. Let i be (-2)\/p - (-252)\/480. Factor -2\/15*g**2 - 8\/15*g - i.\nAnswer: -2*(g + 1)*(g + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5 and -3 - (10\/(-35) - (-2698)\/(-700)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2367 is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 4*b**2 - b + 5. Give o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453381 at least 1453231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*f - 1\/6*f**3 + 5*f**2 + 500\/3.\nAnswer: -(f - 10)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8874 and 70533.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 5, t: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12057.\nAnswer: 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z\/z**4)))*z\/(z*z\/(z*z**(-7\/3)*z)*z)*(z\/(z\/(z**1*z)))**(-34))**(-12\/5) assuming z is positive.\nAnswer: z**(796\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 34342110?\nAnswer: 34342033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, j: 3, z: 3}. Give prob of picking 2 j and 1 z.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 83*x**2 + 309*x + 2948. What is the hundreds digit of c(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62927.80000025 - -62927.4. Let x = -0.16 - -0.56. Let l = p + x. Round l to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386402.\nAnswer: 2, 193201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k**4 + 15*k**3 - 69*k**2 + 101*k - 38. Let q(x) = 3*x**4 + x + 1. Let u(f) = -4*q(f) + s(f). Factor u(i).\nAnswer: -(i - 7)*(i - 6)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69256 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 83, 179, 313, 485, 695?\n\"Answer: 19*y**2 + y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 509 - 516. Let m(n) = n**3 + 7*n**2 - 5*n - 14. Determine m(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 511 + -372. Suppose 4*w - 1537 = -4*y + c, 2*w = -y + 839. What are the prime factors of w?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10317 (b) -29\/18 (c) -4\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 8. Let m(p) = 3 + 4 - 5 - 4. Let n(v) = c(v) - 5*m(v). Calculate n(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Let y be q(5). Let o be 192\/10*40\/y. Is 6\/15 + o\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1545, -3, -985, 1.\nAnswer: -985, -3, 1, 1545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12404586 <= -12404578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p**2 - 13*p + 22. Let l(n) = -21*n**2 + 25*n - 43. Let d(b) = 2*l(b) + 5*z(b). Is 23 a factor of d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32454\/2574 - 13) + 50\/(-325).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1. Let q(b) = -b + 1. Let r(a) = q(a) - y(a). Let c(m) be the first derivative of -m**3\/3 - 231. Determine c(r(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*p = 42, 13*p - 10*p + 15 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77556 by -6.\nAnswer: 12926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-315)*3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**6 - 11*p**3\/3 - 2. Find the third derivative of d(v) wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**2 + w - 6*w**2 - w to the form s*w**2 + m*w + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2352.4 - -2352. What is the closest to 7\/3 in -3, q, -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 + 116*t**2 - 218*t + 2975. Calculate c(28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 130\/303, -9, 1, -40?\nAnswer: 130\/303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 25*b - 6 = 0. Sort -4, b, 3.\nAnswer: -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -4065389782270.\nAnswer: -4065389782270.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 8*t + 2*t**2 + 1\/6*t**3 + 0. Let v(d) = -d - 1. Calculate p(r) + 3*v(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4 + 0 + a - 5. Let w be v(0). Let k(x) = -x + 3. Let b be k(w). Solve -5*j = -s - 3*s + 7, 20 = -b*j - 4*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, -25, -14 in ascending order.\nAnswer: -25, -14, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-51)\/(-9) + (-52)\/(-156). Suppose 2*a + 3*s + 10 = -2, 3*a - 12 = 3*s. Suppose -4*d = -l - 4, 4*l = 4*d - a + 32. Solve 14*p - l*p = h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t + 0*t**3 + 0 - 1\/70*t**7 + 0*t**6 + 0*t**4 + 2*t**2 - 1\/10*t**5. What is the third derivative of k(n) wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/3)\/2*-3. Let n be (-1 - 18)*-2*3. Suppose 4*k - 52 = -0*g - g, 0 = 3*g - 2*k - n. What is the greatest common divisor of g and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43971 (base 11) to base 14.\nAnswer: -1931a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(21\/(-15) + 1). Let o = s + 15. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5256 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 850.6207 litres?\nAnswer: 850620.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 3*o + 17. Give x(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -143 and 2.123.\nAnswer: -140.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-6)\/96)\/(2\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 4 = 0. Let i(f) = 17*f - 5. Let y be i(z). Let x be (-3 + 9)*(3 - (-33)\/(-18)). What is the highest common divisor of y and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 19*a**3 + 0*a**2 - 18*a**3. Calculate k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bda when three letters picked without replacement from amidb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -26*i**3 - i**2. Suppose 6*u - 5*u + 1 = 0. Let j be b(u). Factor 7 + j*d - 10*d - 3*d**2 - 15 - 10.\nAnswer: -3*(d - 3)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93031978?\nAnswer: 2, 13, 359, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + -7 + (-524)\/(-40). Let u(s) be the second derivative of 0*s**2 + 1\/63*s**7 - p*s**5 + 8*s + 0 - 2\/45*s**6 + 2\/9*s**4 + 4\/9*s**3. Factor u(w).\nAnswer: 2*w*(w - 2)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53204373.\nAnswer: 3, 17, 43, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 5*i + 2*i**2 + 5*i - 1 - 9*i + 2*i**3 in the form g + m*i + w*i**2 + h*i**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1267, -1259, -1251, -1243?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 3*g + 5*g)*(g**2 - g**2 + 2*g**2) as m*g**2 + k*g**3 + v + i*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 + 1 + (-9)\/6. Let q(w) = -w**2 - w. Let m be q(-1). Suppose m = 2*r + r, 3*o + 2*r - 423 = p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**9\/60480 + n**8\/2880 + n**7\/720 + n**6\/240 - 31*n**5\/60 + 16*n**2. Let a(f) be the third derivative of h(f). Give a(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1759*o - 3535*o + 1770*o - 5 + 0 - 2. Give z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnl when three letters picked without replacement from {m: 2, d: 1, x: 4, l: 6, n: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcccrrrcrccc. Give prob of picking 3 r.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 923*b**2*f**3 + 8*b**2*f**2*x**2 + 219*b**2*x**2 + 2*b*f**3*x**2 - b*f*x**2 - 3*b*f - 72*f**3 wrt f?\nAnswer: 5538*b**2 + 12*b*x**2 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/16 + 1263\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {n: 3, v: 4, y: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53500, 106865, 160230, 213595, 266960, 320325?\nAnswer: 373690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.5024 micrometers to kilometers.\nAnswer: 0.0000006225024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 1132*j + 1136*j + 56, 0 = 5*o - 12*j - 128 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -157?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcgamhrcmrcgrcrrc. Give prob of picking 2 m.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/20 + (-18)\/(-4). Let u = 273\/82 - -1\/246. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -92. Suppose 2*x - z*p + 5 + 1 = 0, -2*x - 8 = -5*p. Let i = 0.4 - 0.4. Which is the nearest to x? (a) 4 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2327 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.04239.\nAnswer: 0.08478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -203*v - 31. Is n(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 77 + 4*n**2 - 2*n**2 - 3*n**2. Let f be o(0). Suppose 0 = j + 4*c - f, -7*j + 337 = -2*j + 4*c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 366*l + 7. Suppose 42 = -9*i + 96. Is k(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and -2348\/81 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16421073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/8635 and (-22594)\/71435 - (36\/21 - 2)?\nAnswer: 8635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757?\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0 - 0\/(-2). Suppose d = -n - f - 4, 3 + 4 = -4*n + 5*f. Which is greater: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 1580800?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 35. Is 13 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.623874l in millilitres?\nAnswer: 623.874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*t**2 - 4*d*t + 29*t**2 + 9 wrt d?\nAnswer: t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 k when three letters picked without replacement from {l: 2, g: 3, b: 6, k: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -223. Let z = p - 49. Put z, -3, -1, -80 in descending order.\nAnswer: -1, -3, z, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/3 + 747774*p + 897328\/3.\nAnswer: (p + 448664)*(5*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2131563 + 102?\nAnswer: 2131665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, i: 10, a: 4}. What is prob of sequence lal?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:00 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*t = 177, 3*t + 147 = -i + 5*i. Suppose -20*o + 230 = 3*o. Calculate the remainder when i is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473034*-0.3.\nAnswer: -141910.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnk when three letters picked without replacement from kwzhxnx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -25550775?\nAnswer: -2\/25550775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 175*u + 541. Determine o(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 1 + 11. Let p(i) = -4*i + 4. Calculate p(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {x: 2, e: 3, o: 3, c: 1, m: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*l - 22, 6*t = -l + t + 28. Let a be ((-2)\/3)\/(6\/(-99)). Find the third derivative of 2*b**2 + l*b**6 - b**2 - a*b**6 - 4*b**2 wrt b.\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j**3 + 32*j**2 + 0*j - 8 + 0*j - 40*j**2. Let x(d) = d**3 + d**2 + 1. Give -3*t(r) - 24*x(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43092*j**2*x**3 - 77*j**2*x - 4*j**2 - 65*j*x**5 - 1884*j wrt x.\nAnswer: -258552*j**2*x - 1300*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-3))\/((-4)\/(-12)). Suppose -5 - v = l. Let y(m) = m**3 + 15*m**2 - 3*m - 16. Let z be y(l). Calculate the highest common divisor of 319 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i - 4. Let h = -6 + 17. Let q be l(h). Suppose v - 53 = 5*d, 2*v - q = -d - 0*d. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o + 728. Suppose 0 = 3*u - i + 2*i - 68, 53 = 3*u - 2*i. What is the smallest common multiple of f(-68) and u?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 4. Let p(m) = 3*m - 8. Let f(t) = 7*n(t) + 4*p(t). Let u be f(2). Suppose 0 = -0*x - u*x + 48. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, -61, -69?\n\"Answer: -8*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 3 + 4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226*o*w**5 + 12*o*w**3 + 7870*o*w wrt w?\nAnswer: -4520*o*w**3 + 72*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 464673519 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 288d + 6?\nAnswer: 2895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p**2 + 1. Let z be h(-2). Let y = 311\/8 + z. Which is the smallest value? (a) 2 (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/(j*j*j\/j**(-1\/2)))\/(j**4*j**2))**31 assuming j is positive.\nAnswer: j**(-279\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.43235302 rounded to 3 decimal places?\nAnswer: -31.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 + 27 + 44 - 207*p to w + t*p and give t.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604930 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -7*m. Suppose g = -m - 9. Put 4, 2, g in decreasing order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 + 40*n**2 - 15*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 + (-14)\/(-4). Suppose 3*i + 2*l + 3*l = 26, -4*i + l + j = 0. Calculate the smallest common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x**(2\/3)*x**0\/x**5)**23 assuming x is positive.\nAnswer: x**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61184*u**3 + 13 - 2*u**2 + 9*u - 6 - 61182*u**3)*(-2*u + u + 2*u).\nAnswer: 2*u**4 - 2*u**3 + 9*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c + 6. Let r be k(-8). Suppose -3*m + 8 = r. Let j = m + 304. Is j a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 4. Let s = 43 - 40. Let n be (2\/s)\/((-16)\/72) - 0. Let c be (45\/10)\/(n\/4). Give h(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8769965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 10:39 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 3*x**4\/4 - 26*x - 2. Let r(j) be the second derivative of j**3\/6 + 2*j + 11. Give r(g(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4*x + 5. Let d be k(-4). Suppose 0 = -d*o - 21 - 9. Let g be o\/(-18)*1*9. Solve -25 = 5*w - 3*j + 5, g*w + j = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8701 and (1576757\/11074)\/(-13) + 11.\nAnswer: 17402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56670350 is divided by 2274?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*d - 35, 45 = 5*d + 7*w - 2*w. Suppose -2*m = n - 3 - 14, 2*m - 18 = -2*n. Is m at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v + 3870 = -146*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 109803506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-84) + (-40)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1436346*j + 44 + 1436343*j - 44.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**3\/6 + t. Let s(x) = 108 - 209 + 101 - 2*x. Give y(s(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088055753?\nAnswer: 3, 362685251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 38. Let w(b) = 25*b**3 + 4*b**2 - 3*b - 1. Is w(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61554823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30434543*i - 30434543*i + 10378*i**3 + 4*i**2 - 998 wrt i.\nAnswer: 62268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + v**3 + 14*v**3 + 3 + v**2 - 2 to the form w*v**2 + t + n*v**3 + j*v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m + 5\/8*m**4 + 1\/21*m**7 - 1\/6*m**6 + 95*m**2 + 0*m**3 - 1\/6*m**5 + 5\/336*m**8 + 0. Find d such that b(d) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 128*v**2 + 145*v + 194. Let a be z(63). Which is smaller: a or 1400?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = -3*l, 5*k = 8*k + 4*l - 10. Solve 2*i = -2*d + k, 2*d + 2*i - 6 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963.0331 grams in micrograms?\nAnswer: 963033100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0358 + -0.0358. Let w = -81 - -81.05. What is the closest to f in w, -0.4, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 47 (b) 2 (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 472 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 0 + 0)*(13*t - t - 28*t) - 7*t + 2*t**2 + 7*t as o*t**2 + a + g*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**3 + 2*z**2 + z - 17. Let r(m) = m**3 - m**2 + m + 1. Let q(h) = -4*r(h) - u(h). What is the remainder when q(5) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 10. Let w be k(15). Let n = 13 + w. Which is bigger: 17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 3. Let i(l) = 3*l**3 - 2*l**2 - l. Let y be i(-1). Let g = y - 0. Let z(h) = -2 - 4 + 5 - h + 0*h. Give g*z(v) + b(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 10 + 25. Suppose 5*j = -5*x - 10, -5*x + 7 = -3*j + 1. Let n(i) = -4 + 2*i - 3*i + x*i. Determine n(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 25798718.\nAnswer: 25798715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1885 or 1884?\nAnswer: 1885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(99))**2*-1 + -2.\nAnswer: -399 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.9427038ns to weeks.\nAnswer: 0.0000000000001106856875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03983149 rounded to four dps?\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + w - 1. Let g(u) = -u**3 + 9*u**2 - 3*u + 2. Let a(t) = -g(t) - 3*z(t). Let k(i) = -i**3 - 18*i**2 + 62*i - 15. Let m be k(-21). What is a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -95690*h + 574184. What is g(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 13 - (14 + -21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 53*i + 26 = 0. Sort 1\/5, -2, i, -3\/11 in decreasing order.\nAnswer: 1\/5, -3\/11, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from vbhbwvhewbwhnnbvwe?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 4*h - 5*a, 36*h = 39*h + 6*a + 21 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 2. Suppose 2*r = -0*r + 12. Suppose 0 = 3*u - 2*a - 31, 5*u + 2*a - r - 19 = 0. Calculate the remainder when u is divided by b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*g + 23 - 19, 2*d = d - 2*g + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 83?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -200 times -564409\nAnswer: 112881800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/151 (c) 0 (d) -1\/5 (e) 151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3337 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2720)\/(-50) - 3\/(-5). Let t = 1047 + 12528. What is the hundreds digit of t\/h + (-4)\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 17*z**2 - 18*z + 37. Let m be i(16). Suppose 4*b + 428 = 4*v - 0*v, -b = m. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2917708 divided by -729427.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = n. Suppose -3*s - j + 11 = -0*j, -3 = 3*j. Sort n, s, 16.\nAnswer: n, s, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20718, -40982, -61246, -81510?\n\"Answer: -20264*b - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1258593576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 18. 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 s(k) = 795*k**2 - 7*k - 13. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/30*1*16\/((-816)\/17).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 5. Let m(v) = -4*v - 18. Let i be m(-8). Let t(k) = 6*k + 24. Let z(j) = j**3 + 10*j**2 + 25*j + 3. Let a be z(-5). Calculate a*t(y) + i*h(y).\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*k, -4*z + 4*k - 76 - 14 = -6*k - 4*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4332423 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 - 8*r**5 - 2423*r**4 - 292462*r**2.\nAnswer: -360*r**3 - 480*r**2 - 58152*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2394 - 4783 + 476*p**2 + 2383 to t + c*p**2 + m*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*x - 135 = 6*f, -2*x = 0. Let u be 1\/(6\/4*3\/f). Let q(t) = -1. Let r(a) = a**2 + 7*a + 10. Let h(z) = 3*q(z) + r(z). Determine h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - z**2 + 0*z**2 - 35 - 26 + 2*z - 9*z**4 + 77 to the form m*z**3 + s*z + p*z**4 + k + b*z**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00511753 to four decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180 and 3.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 16 + 2*d - 11)*(-5 - 20 + 0 - 4 - 48).\nAnswer: -154*d + 1078","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1726, 3, 1, 124.\nAnswer: 1, 3, 124, 1726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383 + -288. Let t = k - 85. Solve t*d - 14*d = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.96*124\nAnswer: 367.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/54854?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037297484 to 4 dps.\nAnswer: 0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2017 = -24*n - 361. Solve 67*h + 2*h = n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786 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: Sort 22, -5, -2 in ascending order.\nAnswer: -5, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-34)\/(-2))\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8)*((-9344)\/(-1460) + 872\/(-130))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 19*h + 120. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -5 + (5 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-15))\/((-12)\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/((-1)\/50). Let v be r\/((2 + -8)\/3). What is the greatest common divisor of v and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7380.6329 + -3.8329. What is j rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 + -121. Let h(r) be the first derivative of -i*r - 1\/3*r**3 - 5 + 4*r**2. Determine h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 - 3*g + 2. Let j(l) = l**3 + 5*l**2 + 4*l - 3. Let i be (-1)\/(-5)*-4*(-35)\/14. What is i*j(b) + 3*n(b)?\nAnswer: 2*b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 6*i**2 + 17*i**2 + 53 - 8*i**2.\nAnswer: -2*i**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3462?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 93\/33 - (-2)\/11. Let x(g) be the third derivative of g**4\/6 - g**2. List the prime factors of x(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4258150?\nAnswer: 2, 5, 13, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93459 - -19520. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**3 + 3*q**2 - 3*q. Let f be w(2). Let d(y) = -602*y - 5. Let x be d(-2). Is x\/9 + (-12)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*s - 1 + 54*s - 22*s - 2*s**2.\nAnswer: -2*s**2 + 237*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -771*v**3 + 55*v**2 - 79206*v wrt v?\nAnswer: -4626*v + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-25)*0*(-2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + (4 - 5) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168203157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) -8\/5 (c) 0.139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2641213?\nAnswer: 7923639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqqatqaq. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*m = -103*m - 6432. Suppose 211 + m = 3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7394674967 plus -7?\nAnswer: 7394674960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/4 - r**3\/3 - r**2 - 29*r - 2. What is j(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**2 + 5*l - 11. Let q(c) = -8*c**2 - 1. Let y be q(1). Let b be (-40)\/30*(-3 - 0). Let t(v) = 3*v**2 + 2*v - 5. Calculate b*a(g) + y*t(g).\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-369)\/287)\/(12\/(-56)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3\/3 + 8765*b**2 - 5*b\/3 - 8765.\nAnswer: 5*(b - 1)*(b + 1)*(b + 5259)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2) + (sqrt(100)\/sqrt(2))**2.\nAnswer: 2*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 11*h**2 + 8*h + 20. Let s be u(10). Suppose 0 = -g - 5 + 14. Let d = s + g. Solve -3*i = 2*z - 3 + d, 0 = 2*z - 3*i - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/10*(5 + 0). Let k be l\/4*-2 + 0. Let d(g) = 6*g**2 + 2. Let t be (-20)\/(-3)*12\/(-10). Let z(v) = -2*v**2 - 1. Determine k*d(s) + t*z(s).\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -1\/2 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6)**(3\/8)*(((j\/(j\/j**(-4)))\/j*j)\/j)**(35\/3))**(-1\/53) assuming j is positive.\nAnswer: j**(673\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, -5, 3, 1, -1537 in descending order.\nAnswer: 3, 1, -5, -134, -1537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 5*q**2 + 3*q + 3. Let v be (3\/(-2))\/(1\/2). Let x be l(v). List the prime factors of (114\/9)\/(8\/x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/12 + (-1)\/6. Let r = y - 3. Solve x + 9 = r*v, 0*x - 8 = -3*x - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/3 + 1303*k**3 + 636133*k**2\/3 + 627017*k + 1248826\/3 = 0. Calculate k.\nAnswer: -3739, -167, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 251172*r - 25588332.\nAnswer: -3*(r + 102)*(r + 83622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88352193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/7 (b) 0 (c) 18 (d) -1 (e) -5 (f) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 15. Suppose -4*n + 2*j = j - 11, 12 = w*n - 3*j. Suppose k - 4 = 0, t + n*t + 4*k = 60. Calculate the remainder when 20 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -191 + 181 + (8 - 0) - 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2305175 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3108*n**2 - 229*n**2 + 12275 - 1449*n**2 - 12275.\nAnswer: -4786*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7631440)\/286179 + (12\/(-9))\/(-1*2\/15)\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*s - 56, -57 = 3*n - 4*s - 11. Let u be ((-1370)\/n)\/((-1)\/519). Let k be u\/9 - (-2)\/6. Round k to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7642\/11 < -694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 35*y**3 + 17*y - 34*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -3. Let i be -7*(-5 + 4\/2). Suppose -s - i = -4*s. Solve o + 4*u = -r, -o - 2*u + s*u + 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/4)*g**(2\/5)*g\/(g*g*(g\/(g**(-1)*g))\/g*g*g)*g**(-2\/3)*((g**4\/g)\/(g*g**2))\/((g*g*g**4)\/(g**1*g)) assuming g is positive.\nAnswer: g**(-511\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - 159\/(-12). Let v be 2 - (0 + 0 - o). Let z = v - 8. Solve 3*i + 1 - z = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkuk. What is prob of picking 3 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -24*s + 71. Calculate c(-4).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 11*p**2 + 19*p - 7. Let o(k) = 2*k**2 - 4*k - 7. Let f be o(4). Let y be j(f). Solve -d - y*d + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41534050 (base 7) in base 5?\nAnswer: -1344120331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 562600 or 562599?\nAnswer: 562599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1424*p**2 + 1318*p**2 - 1955*p**2 + 8579 wrt p.\nAnswer: -4122*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 2. Let z be b(-4). Let n be 4\/(-20) + (-2)\/z. Which is greater: -1\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z - 4. Suppose 0 = -6*a + 20 + 16. Suppose -d - 5*i - a = -2, -i = -4*d - 16. Give r(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*z, -7877 = -3*w - z - 7858 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 not equal to 232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 13*u**2 + 11*u - 2. Suppose 2*p - 26*i + 28*i = -18, -5*p - 51 = 3*i. What is o(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113255187.6 rounded to the nearest 100000?\nAnswer: 113300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 3 + -8 + 2 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*b**3 + 1557 - 1557.\nAnswer: -727*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -723 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 882, 921, 946, 951, 930, 877?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w. Suppose 5*l - 2*c = -3*c + 27, 3*l - 3*c - 9 = w. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*b - 15, 4*t + b + 1 + 0 = 0. Let q be 3\/(2\/(8\/6)). Let r = 4 + -15\/4. Put t, r, q in increasing order.\nAnswer: r, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + r - 3 = 0, 5*r - 20 = 0. Let p = 430 - 425. Which is the nearest to z? (a) 2 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {v: 5, s: 2, m: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27715231 + 4.\nAnswer: -27715227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zez when three letters picked without replacement from ezz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.5? (a) 0.5 (b) 0.4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawaexdadw. Give prob of picking 3 a.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (10234\/(-129)*((-48)\/(-21))\/(-8))\/((-8)\/(-6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5, -1.2, 32?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5 and 19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007962 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -673840388956.\nAnswer: -673840388951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 6. Suppose 4*a = -0*a + 4. Let o(n) = 0 - 2 + a + n. Let i(k) = -4*k + 2. What is b*o(d) + i(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*n*r**3 + k*n*r**2 - 165*k*r**3 + 512*n*r**3 + 6*r**3 with respect to n.\nAnswer: -2*k*r**3 + k*r**2 + 512*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3023\/7 - 431. Let g = -81586\/111 - -735. Let m = 104\/777 - g. Which is the closest to 2\/5? (a) m (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.3 (b) -2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-121) + (-27)\/(-22). What is the closest to 2 in 4, 0.1, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 12)*13\/13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 67?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 1. Let d(q) = -9*q + 7. Let f(a) = d(a) - 4*o(a). Calculate the remainder when f(-8) is divided by (-1 - -19) + -1 + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.44+-111\nAnswer: -110.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1163?\nAnswer: -3489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, -4, -138, -452, -1006?\n\"Answer: -10*a**3 + 56*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 22*g**6 - 2*g**3 + 41*g**2 + 2. Let s(o) = o**6 - o**3 - o**2 + 1. Let j(r) = -a(r) + 2*s(r). Find the third derivative of j(m) wrt m.\nAnswer: -2400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35275 times -12?\nAnswer: 4.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 1 - 45)*(0 - 5 - 6)*(-l**2 + 0*l**2 - l**2) + (7 - 7 - 10*l)*(-2*l + l + 2*l) as p*l + a + s*l**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 31 + 8*r - 12 - 7*r.\nAnswer: r - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3198.0000021097 + 3198. What is u rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9736.746 years?\nAnswer: 116840.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 12839640.\nAnswer: 12839640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11001011100101010100?\nAnswer: 11001011100101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 22 - 94. Let i be 1\/(-2*3\/t). What is the first derivative of -4 + 3 + p**i + 2*p**2 - p**2 wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -35. Let p(m) = -m**2 - 5*m + 7. Calculate p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**3 + 30*g**2 - 180*g - 1080 = 0. Calculate g.\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 28 - (0 - -2) - -16\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*x + 51*x - 378 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18905 - 17?\nAnswer: -18922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*h + 18, 10*c - 5*c = 3*h + 20. Sort 2, 4, h, -2 in increasing order.\nAnswer: h, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/300 - b**5\/25 - b**4\/5 - 8*b**3\/15 - b**2 + 10. Determine x, given that g(x) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -1461040.5.\nAnswer: -116883.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.11195*1.6\nAnswer: -0.17912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*-1)\/((-4)\/3170). Let p be ((-1025)\/(-20))\/(((-22)\/48)\/11). Let u = c - p. Round u to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2217*h**3 - 2*h**2 + 4*h - 6. Let d(l) = 37690*l**3 - 35*l**2 + 70*l - 105. Give 2*d(w) - 35*m(w).\nAnswer: -2215*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3384 = -40*a + 228*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-8) - (-2 - (-7)\/2). Let m be 4\/k*(-12)\/8. Which is greater: m or -3\/43?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9*m - 2\/9*m**3 - 2\/9*m**2 + 0 = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {a: 4, s: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pppppvv?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 314370 rounded to the nearest one thousand?\nAnswer: 314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*-5 + ((sqrt(65) + sqrt(65) + sqrt(65)*2 + sqrt(65))*2 - sqrt(65)))\/(sqrt(270)\/sqrt(6) + (-1*sqrt(10))\/sqrt(2)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 10. Suppose -15*k + 207 - 42 = 0. Determine p(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005636 rounded to five dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.54 and 21.9?\nAnswer: 143.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 14*g - 4 + 3 in the form j + k*g and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 296, 302, 312, 326?\n\"Answer: 2*w**2 + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 2\/15 (b) 0.5 (c) -8 (d) 21 (e) -0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 28*c**2 - 205*c - 19. Determine w(-34).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkkbkkkakkkkk. What is prob of picking 1 b and 2 k?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 25298430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 392931 - 970539629\/2470. What is the common denominator of -99\/1976 and r?\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 9, c: 4}. What is prob of picking 1 b and 1 o?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from oootoottoooooottoo?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.007 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2266\/15 - 2254\/15. Let h = -2.8 - -3. Let u = -0.04 - 2.96. What is the closest to u in 3\/2, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 224*m - 1580. Determine q(6).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 88 = 2531 + 4185. What is the greatest common factor of 105 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (1 + -10 + 6 - -8)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*o + 4, -4*i = -3*o - o - 20. Suppose l - i - 1 = 0. Solve -l = 2*t + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 5, m: 2, c: 4}. What is prob of picking 1 c, 1 p, and 2 m?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 78 + 18*x**2 - 38 + 63*x**2 to o*x**2 + v + k*x and give o.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1293.01 - 1293. Which is the second biggest value? (a) -1 (b) 3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - -1) + 15\/((-210)\/112). What is the closest to -2 in 2\/5, b, -483?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1301?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/7 - -43\/42. Let w(a) be the second derivative of 0*a**3 + 0 - u*a**4 - 2*a + 0*a**2. Let y(k) = 2*k. What is y(w(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 1. Let u be (-5)\/(-3)*(-180)\/150. Let q(s) = -4*s**3 - 3. Determine u*q(f) + 5*a(f).\nAnswer: -2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*w - 2612*w + 540*w + 518*w + 525*w + 525*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 44258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**4\/24 + 23*a**2. Let r(l) be the second derivative of -l**4\/6 - l. What is r(b(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**2 - 13512*v + 494468 = 0.\nAnswer: 37, 3341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21120515 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let g(m) = 2*m + m + 2*m + m. What is g(b(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37498, 75151, 112958, 150919?\n\"Answer: 77*s**2 + 37422*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -0.185?\nAnswer: 0.00925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/19?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:09 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hww when three letters picked without replacement from {a: 1, h: 3, d: 4, w: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + -94 - (1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from saaakasakasakkaova?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -573 times 7?\nAnswer: -4011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.069 at least 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**2 - 26668560*y + 44450755779600 = 0.\nAnswer: 3333570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -66909*x - 736004. Calculate q(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -2508049406199.\nAnswer: -2508049406198.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 5*s - 4*s + 2 - 2 + s + 3*s - 3*s + s + (-2*s - s + s)*(0 + 0 - 2) - 6 + 6 - 4*s)*(610238*s - 4 + 4 - 606011*s) to r*s + y*s**2 + a and give y.\nAnswer: 16908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3935427, 4 in decreasing order.\nAnswer: 3935427, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-453)\/(-2))\/(31\/62)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12839 + -12839.1. Which is the third biggest value? (a) -166\/5 (b) 3\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 3289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8*-9)\/(-67*138\/147936).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/30)\/(18\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5003874 (base 9) to base 8.\nAnswer: 12113413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-5 + 11)) + 0 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o + 5*n - 1715 = 0, 0 = -3*n + 9. Is 1363\/4 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(4\/18)*-2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36932 take away 1?\nAnswer: -36933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1482 + 5?\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*j - 4 = 0, -i = -j - 3*j - 18. Solve i*m - 3 = -11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13915279 is divided by 9185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 10*g**2 - 16*g - 12. Is v(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(-255 - 149*g + 514 - 258) in the form b + d*g and give d.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/36*(-396)\/(-552) - (-107)\/(-856).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1886234 and 29\/5658702?\nAnswer: 5658702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r - 3017 - 308 = 0. Which is bigger: 468\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.4 - 1.5?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16437 + -16436.7. What is the closest to 3.276 in u, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:02 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 13*m + 54 = -10*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3211*t - 1640. List the prime factors of w(-7).\nAnswer: 67, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2430263 is divided by 439.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 46 = -21*l + 25*l, 0 = -2*d - 4*l + 48 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47377*f*x**3 + 5*f - 32*x**4 + 98480 wrt x.\nAnswer: -142131*f*x**2 - 128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -174*l**2 - 55*l. Let b(d) = 175*d**2 + 46*d. Give -6*b(j) - 5*r(j).\nAnswer: -180*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6)*(125670*m - 217209*m + 125223*m) as n*m + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 554 - 34?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, k: 1, p: 2, n: 1, d: 3, r: 1}. Give prob of picking 1 d and 1 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 - -0.4. Let h = -4.81 + 4.81. Let j(c) = -c**2 - 5*c - 1. Let w be j(-4). Sort h, z, w in increasing order.\nAnswer: z, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*sqrt(325) - sqrt(325)) + -2)**2.\nAnswer: 20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 576955*u - 12 = -576940*u, 3*u = 2*z + 19 + 2 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, -6, -4, -557, 7, -2 in descending order.\nAnswer: 13, 7, 2, -2, -4, -6, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 35*n**2 + 8*n + 6. Let m(k) = 27*k**2 + 6*k + 5. Let f(h) = 10*b(h) - 13*m(h). What is f(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 13449891\nAnswer: -1210490.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/5, -3, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 + 94 = 19*l. What is the closest to -1 in l, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/750582 and 53\/275724.\nAnswer: 13510476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704*f**2 + 690*f**2 + 696*f**2 - 2089*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.2. Let n = -1.1 - -1. Which is the closest to n? (a) -4 (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344*o + 3696 + 16573 + 29459 = 0 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005404 - -106442.1.\nAnswer: 106442.105404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7\/15, 2, 0.83 in descending order.\nAnswer: 2, 0.83, -7\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3101, 4882, 6663, 8444, 10225?\nAnswer: 12006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 + 5*l + 6. Let p(h) = -h**3 - 2*h**2 + 8*h - 4. Let c be p(-4). What is the units digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -183, -0.3, 0.5, 3\/14 in decreasing order.\nAnswer: 0.5, 3\/14, -0.3, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -199*y**4\/24 - 383*y**3\/3 + 2*y**2 + 67. Find the first derivative of f(b) wrt b.\nAnswer: -199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 + -6. Let l = -4.9 + 8.5. Let g = l + p. What is the third smallest value in 1\/20, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -7, 4, -1\/8 in decreasing order.\nAnswer: 4, 1\/6, -1\/8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b298 - 132?\nAnswer: -3b40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257823217.\nAnswer: 19, 53, 256031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212629540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1323320220 - 2?\nAnswer: 1323320213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t + 2. Let v(b) = -b**2 + 2*b + 5. Let l be v(4). Let p be q(l). Let o = p + 4. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 1, w: 3, r: 1, o: 12, i: 1}. Give prob of picking 1 w, 1 r, 1 c, and 1 i.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/3)\/(d*d*d*d\/(d**(-3)\/d)*d)*d\/d**8*d\/(d*d*d**(-1\/23)*d*d*d*d) assuming d is positive.\nAnswer: d**(-1538\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -27.1. Let x = y + -21. Suppose -4*i + 2*h = 12, -2*h - 6 = -2*i - 4*h. Which is the second biggest value? (a) x (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**7\/630 - f**6\/48 - f**5\/12 + 9*f**2. Let m(x) be the third derivative of i(x). What is the first derivative of m(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*f**4 + 291*f**3 - 10480*f**2.\nAnswer: 528*f + 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2164*x**6 - 242*x**2 - 1105*x**2 - 2141*x**2 wrt x.\nAnswer: -259680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.26 and 418?\nAnswer: 425.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**2 + 51*x + 15. Give u(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105005\/143192 - -3\/2557. Find the common denominator of p and -38\/49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 4*t - 2. Let r be o(4). Let u = -0.11215 - -0.01215. Which is the closest to r? (a) -5\/2 (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*f - 3 - 9, -4*l + 2*f = 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9361849*x**4 + 19*x**3 + 2*x**2 - 376723*x - 223?\nAnswer: 112342188*x**2 + 114*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 2*i + 2*i. Let c = 8 + -4. Let g(z) = 36 + c*z - 36. Give -2*g(x) - 10*t(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - l - 8 = 0, l - 2 = p + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 1, k: 2, z: 1, n: 2, f: 7}. Give prob of picking 1 f, 1 k, and 2 n.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.87103 rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l**(1\/4)*l)*l)**26\/(l**3\/l**7) assuming l is positive.\nAnswer: l**(151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j - 10. What is the remainder when m(17) is divided by 149?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*n - 30 = 0, 2*v + 2*n - 1 = 3. Let a be 412\/28 + v\/(-7). Solve -4*b + 2*b + p = 3, 0 = 5*b + 2*p - a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 20*l**2 - 6*l - 116. Give z(14).\nAnswer: -1768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:52 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4210*n**2 - 4521*n?\nAnswer: 8420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 8:16 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/7 - 3961134*f**2\/7 + 142603740*f\/7 - 1283442408\/7.\nAnswer: -3*(f - 18)**2*(f + 1320414)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 5, z: 3, q: 1, y: 1, k: 3}. What is prob of picking 1 z, 1 k, and 1 q?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 457666?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(-3 + -2*5*(0 + 0 + sqrt(55)\/sqrt(5)))**2*5.\nAnswer: -33270 - 1800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from rfeom.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62628.4 rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183 + 193. Suppose w*n - 15 = 5. Solve 2*d - 6 + 2 = 2*f, -2*d - 4*f = n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d - 89*d - z = -14551, -2*z - 5806 = -2*d. Which is greater: d or 2910?\nAnswer: 2910","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 132*f - 173*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15072087881.45 minus -0.2?\nAnswer: -15072087881.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 9:49 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*(0 + -2). Suppose h = a*h - 2*c + 6, 5*h + 33 = -4*c. Let y(u) = 5*u - 4*u - 4 + 0. What is y(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Let z = -2 - i. Is 16 a factor of (z + -1)*(-3 + 46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320*-1.927.\nAnswer: 616.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, -4, -1, 1, 0, -64.\nAnswer: -64, -5, -4, -1, 0, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-4 + sqrt(891)) + (-3 + sqrt(891) + sqrt(891))*6)**2 + -5)*6*3.\nAnswer: -92664*sqrt(11) + 2719044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 9*q**2 + q - 6. Let l be o(9). Suppose -l*v = 3*g, -5*g + 0*g + 2*v = 0. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6*(-16 - -2). Let d(w) = w - 6. Let q be d(z). Solve 0*i + q = i, 5*i - 8 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45455, -91188, -136921, -182654, -228387, -274120?\nAnswer: -319853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)*t**(-1\/4)*(t\/(t\/t**1))**22*t**(-5)\/(t**3\/t)*(t*t\/(t*t**1))**(3\/10) assuming t is positive.\nAnswer: t**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61628067 + -61628330.00149. Let k = q - -263. What is k rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oif when three letters picked without replacement from kxoif?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -575476, -575467, -575460, -575455?\nAnswer: -575452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1695 + 1694.999999462. What is r rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262663925.\nAnswer: 5, 37, 283961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v**2 - 22*v**2 + 16*v**2 + 17*v**2.\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 172, -11, -8, -4, -5 in decreasing order.\nAnswer: 172, 24, -4, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-five halves of a tonne?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 7) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, 1, -401 in decreasing order.\nAnswer: 3, 1, -3, -4, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 10*b - 3*b)*((-10*b + 5*b - 6*b)*(-3*b**2 + 2*b**2 - b**2) + b**3 - 2 + 2).\nAnswer: -230*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -8, -1 in descending order.\nAnswer: 3, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1582, -1113, -644, -175?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9174 is divided by 8759?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/((-84)\/(-10065)) + 4\/(-14).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 242*i**3 + 2727126754*i**2 - 495841234*i + 22538238 = 0.\nAnswer: -11269119, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**4 - 18*s**3 - 152*s**2 - 142*s - 98. Let o(k) = k**3 + k - 1. Let v(q) = 2*n(q) - 68*o(q). Find g, given that v(g) = 0.\nAnswer: -4, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a day in minutes?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -41, -0.1, -51722?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(70) - -1*sqrt(70)*-6)\/((2*sqrt(120) + sqrt(120) + sqrt(120))\/sqrt(12) - (-2*sqrt(50))\/sqrt(5))*6.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 537 - 305. Let p = i + -232.5. Which is the closest to 1\/7? (a) 3 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9077457653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 24. Let c(g) = 4*g + 36. Let d(u) = 5*c(u) + 7*o(u). Calculate the least common multiple of (-4)\/(-6) + 220\/30 and d(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59670455 and 1290.\nAnswer: 358022730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 2, a: 2, b: 1, i: 1, r: 1}. Give prob of sequence in.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/9)\/(n**(-2)\/n))\/((n**6*n)\/(n*n*((n\/((n*n\/n**(-1)*n)\/n))\/n*n)\/n)))**(1\/2) assuming n is positive.\nAnswer: n**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.6 times 65?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5 - 89*a**4\/7 - 366*a**3\/7 - 76*a**2 - 152*a\/7 + 96\/7 = 0. Calculate a.\nAnswer: -6, -4, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6505 - 2?\nAnswer: 6503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -8, -6?\n\"Answer: 2*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*b + 3 = -12, -3*z + b = -14. Is 6\/z*(-10)\/4 + 37 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 8*t + 7. Let x be n(-5). Let z = -9 - x. Let o(f) = 159 + f + 158 - 484 + 167. Give o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5752*m + 5752*m + 3 - 21*m**2 to the form u + w*m + o*m**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, -2\/9, -334479, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.95433 weeks to days.\nAnswer: 20.68031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150430 + 150303.833. Let k = s - -126. Round k to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - 6. Let s = 14 - 10. Let u = -2 + s. What is the highest common factor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10336*-1.2.\nAnswer: 12403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(108\/10)*6\/5 + 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1360\/(-30) + 83 + 4\/6*-1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.2 - 47.4. Let w = x - -27.1999795. What is w rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5\/117, 0.1 in decreasing order.\nAnswer: 0.1, 5\/117, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*v = 104 - 111, 0 = -5*s + 1548*v - 7900 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -433 or -103236?\nAnswer: -103236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315252 (base 9) in base 14?\nAnswer: 4c4d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/((w*w**(-33))\/w))))\/(w**(4\/13)*w)*w\/((w*(w**26*w*w)\/w)\/w)*w\/w**(3\/25) assuming w is positive.\nAnswer: w**(2461\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 6*u = 4*u. Suppose 0 = p - 1, u*i = -i + p + 20. What is the remainder when 39 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 18*b + 8\/27*b**3 + 1\/18*b**4 + 0 + 4\/9*b**2. Find u such that n(u) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 177\/4. Sort v, 5, -1, 2 in ascending order.\nAnswer: -1, v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1590.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {q: 2, u: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93815926 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*b - 95*b - 7*b**3 + 202*b + 3 - b**4 in the form m*b**3 + c*b**4 + d + y*b**2 + v*b and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 + 5*i + 6. Let k(p) = -p**2 - p - 1. Let y(n) = b(n) + 6*k(n). Give y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820564899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 p when three letters picked without replacement from {n: 2, c: 1, e: 3, p: 1, j: 2, b: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -506*i - 287403. What is z(-568)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -369 - -7013\/19. Let r = 9288\/87875 + -2\/4625. Factor y*i + r*i**2 - 4\/19.\nAnswer: 2*(i - 1)*(i + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1024\/6)\/(14\/39375). Suppose -a = -0*v + 2*v. What is v rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 - -94. Suppose d*v - 2*v = 1733. Let f = v + -247. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 + 5. Let u(l) = l**2 - 1. Let z(c) = b(c) + 5*u(c). Let w(a) be the second derivative of 7*a + 1\/6*a**3 + 0*a**2 + 0. What is w(z(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*h = 6*h + 1, 2*h = 2*i + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 - 19?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16502330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2d7 (base 14) to base 15\nAnswer: -28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 28 = -8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8886 - q**2 - 17773 + 8887.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -25) + 6 - -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 - 38*o**2 + 19*o - 3. Let s be l(9). Suppose 4*p - 36 = 2*p. What is the highest common factor of p and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 2\/5, -0.02, 5, 36 in decreasing order.\nAnswer: 36, 5, 2\/5, -0.02, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 6. Suppose 1 = -o + g. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -823436 (base 9) to base 2.\nAnswer: -1110111001001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2)*i)**(29\/4))**(3\/47) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 8659?\nAnswer: 43295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (20 + -12 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -c86a?\nAnswer: c866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10104 - 10041. Which is smaller: 1340\/21 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1637*y**2 - 3 - 3007*y**2 + 8.\nAnswer: -4644*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318298052?\nAnswer: 2, 3, 19, 479, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 + (-2471952)\/(-126) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1920*a + 98\/5*a**3 + 2752\/5 + 8316\/5*a**2 = 0?\nAnswer: -86, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.63. Let v = h + -0.27. What is the second biggest value in 1\/3, 5, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 129 + 91)*(-a**2 + a**2 - 2*a**2 + (-a**2 - 4*a**2 - a**2)*(1 + 2 - 2)).\nAnswer: -1208*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - 2*u**2 + 2*u**2 + (0 + 2 - 4)*(4*u - 2*u - u)*(-u + u - u**2) in the form o + p*u + m*u**3 + l*u**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1136538 divided by 568269.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/85595 and -117\/9010.\nAnswer: 171190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -27, -46, -93, -180?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {d: 6, z: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*t + 9. Let w = t + -13. What is the remainder when 36 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/17, 0.4, -28, 0.3, -0.3, 2.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4 + 6))\/(182\/7)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 565 + 7 + -7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 606 - 460. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-5 + -1 + sqrt(891) + sqrt(891))*-4)**2 + 1)*-6 + -3)*-3*-6.\nAnswer: -6220962 + 373248*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 10. Let t = 15 + -14.5. Let p = 0.8 - -0.2. Which is the nearest to v? (a) t (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.767 rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -41, 0.5, 1095?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 712577597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from ydpdpypyddiiysioysyi?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*i + 15, 0 = -i - 0*z - 2*z + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 7237*b**4\/4 + 2*b**3\/3 + 3578*b + 1137. Find the third derivative of v(c) wrt c.\nAnswer: 43422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -653.8 - -60.9.\nAnswer: -592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*x - 11 = 72*x. Calculate the highest common factor of 3113 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 2 + -80 + (180 - 115).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -3. Let t(h) = h**2 + 15*h + 54. Let d be t(-9). Suppose -l + 853 = 4*r, d = r - 2*r - c*l + 217. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 + 6*u. Let s be m(-5). Let x = -100 + s. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 34060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6 + 2030\/(-210)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 7*j - 8. Let y be l(-8). Solve -t + 2*t = y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 70.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {u: 1, a: 1, m: 4, j: 9}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2360 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + o**3 + o**3)*(-4 + 4 - 2) + 3*o**3 - 5*o**3 + 3*o**3 - o**3 - 2*o**3 - 4*o**3 + (-2*o**2 + 2*o**2 - 2*o**3)*(-1 + 3 - 1).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -k - 300. Calculate the greatest common factor of 1120 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 1. Let v(l) = -20*l - 3. Determine 8*d(m) + 3*v(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.417 and 1.\nAnswer: 0.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46761394 a multiple of 1616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -133. Calculate the highest common divisor of q and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -0.06 (b) -1\/3 (c) 21\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 42721.89 years?\nAnswer: 42.72189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*k + 5*p, 3*k - 12 = 6*k - 4*p. Suppose 5*w + 3*s - 8 = k, -w = 3*w + 4*s. Find the first derivative of -10*o**2 + 3*o**2 - 12 + w*o**2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose -y + 2270 = p*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233*k - 39792 - 5247 = -1884 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.473 + 0.073. Let y = -31 - -21. Let r = y - u. Sort r, 0.1, 1\/6 in descending order.\nAnswer: r, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130773073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02701 - -1.17081. Let c = j + -0.0978. Round c to 2 dps.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139004?\nAnswer: 2, 19, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0 - 7\/15*m**6 + 80*m**2 + 19\/30*m**5 + 0*m + 0*m**4 - 1\/3*m**3. What is the third derivative of z(f) wrt f?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1451\/7 - (-20)\/(-70). What are the prime factors of 2\/6*z\/1?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3251, 12514, 27795, 49094, 76411, 109746, 149099?\nAnswer: 194470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 105. What is the remainder when g is divided by ((-55)\/10)\/(2\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80.95 + 82.95. Let o = -27.4 + 27. Sort 3, -1, b, o in increasing order.\nAnswer: -1, o, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t**3 + t**2 - 2*t - 1. Calculate a(-2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 11. Let h = 15 - -17. Let a = h - 23. What is the tens digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**2\/2 + 3*b + 3. Let v be u(-3). Let n = -1 + 1. Solve -y + 3*y + 5*d = v, -2*y + 3*d = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j. Let f(o) be the second derivative of 0*o**2 - 82*o - 7\/6*o**3 + 0. Calculate -7*f(w) - 5*m(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 = 4*l + 4*j - 183, 4*l - 972 = 4*j. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-400)\/(-55)))\/((-72)\/(-1440)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9.84*-4\nAnswer: 39.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3141758\nAnswer: 5\/3141758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n. Let i(j) = -6*j**2 + 9*j. Let r be -3*(1 - (-5 + 3))*1. Calculate r*x(p) + i(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1111 by -27.\nAnswer: -1111\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1726101663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4 + (-22)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 453940 divided by -453940\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.99525 meters to kilometers.\nAnswer: 0.09999525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q - 3*q**3 - 14*q + q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 107?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*f**3 + 1\/2*f**2 - 2 - f.\nAnswer: (f - 2)*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:26 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = -9. Let u(b) = b**3 + 16*b**2 - 49*b - 8. Let p be u(-11). Suppose 2*t = -1164 + p. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 5*x**2 + 24*x - 68. Let k be w(7). Solve -a - 3 = -k, -g + a = -5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*o + 10 = 0, 3*r - o = o + 14. Let w = -63 + 78. Let f be (-74)\/(-10) - (-2)\/w*-3. Solve -4*t = -r*b - 4, -2*t = 5*b - 2 + f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11755\/7 - -1632. Let y = p - -47. Let o = 19 + -14. What is the third biggest value in 2\/11, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*v = 1869 - 3147 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132770 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -44. Solve 0 = 8*y - n*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 2, b: 4, g: 2}. Give prob of sequence bge.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 246, 0.1, 0.153?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-123182)\/(-51))\/(-2 - (-64)\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35599182.\nAnswer: 2, 3, 29, 109, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 348*w - 1861 + 292*w - 641*w to o + h*w and give o.\nAnswer: -1861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.0802, 0.05, 1, 4 in increasing order.\nAnswer: 0, 0.05, 0.0802, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -225027.253 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 4*y - 2. Let c be a(6). Let b = c + -5. Suppose d + 22 = b*w, -2*d + 13 - 2 = w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36306 plus 69.5094?\nAnswer: 36375.5094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0*c**5 + 0 + 1\/30*c**6 + 2*c + 0*c**3 + 0*c**4 - 1\/2*c**2. Differentiate m(j) with respect to j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let z(u) = -7*u**2 - u - 1. Let q(w) = w**2 - 6*w + 5. Let r be q(4). Let c(p) = r*y(p) + z(p). Determine c(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 4*q + 4. Let g be h(4). Suppose -3 + 1 = -2*n. Solve u + n = 4, 0 = -g*p + 3*u - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 2, x: 1, d: 2}. Give prob of sequence xxsd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3269342\/5 or 653869?\nAnswer: 653869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + p + 1293, 3*m - 3*p + 1466 - 161 = 0. Let k be 107\/5 - (m\/45 - -10). Solve 5 = 3*r - t - 2, 4*t = 5*r - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131*b**2 - 133*b**2 + 0 + 8.\nAnswer: -2*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 302 and 111435.\nAnswer: 111737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680\/28 + (-4)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1999997 + 0.2. Round y to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3205600852945014 + -3205600447827071.9999981. Let g = y + -405117974. Let l = -32 - g. What is l rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 21. Suppose -4*n + 66 = 5*v, -2*n + s = -n + 3*v. Let y = -10 + n. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1911)*-2)\/((sqrt(432) - -2*sqrt(432) - sqrt(432)) + sqrt(24)\/(-1*sqrt(8))) + -1.\nAnswer: -14*sqrt(13)\/23 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1136*b - 43208. Calculate v(-38).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06084 - -0.08084. What is the smallest value in 0, -1, 36, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 13*t**2 - 15*t + 38. Let w be u(-14). Let k(y) = w*y - 118*y + 64*y. Let g(f) = -23*f**2 + 3*f. Determine k(g(n)).\nAnswer: 46*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, -1 in decreasing order.\nAnswer: -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 601 - 597. Solve -5*l = -7*l - 3*o + 1, -11 = -j*l + 3*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 3*x)*(-4*x + 3*x + 0*x) + 2*x**2 + 2 - 2 + x**2 - 3*x**2 + 4*x**2 + (3*x - 4*x + 3*x)*(-2 - x + 2).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -72*q. Let k(t) = 36*t. What is k(z(v))?\nAnswer: -2592*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + 3*f + 5. Let j(n) = n**2 - n - 1. Let c = 832 - 835. Calculate c*j(d) - v(d).\nAnswer: d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -983357253, -983357254, -983357255, -983357256?\n\"Answer: -m - 983357252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**4 - 94*g**3 + 13*g**2 + 1653*g - 14*g**2 + 10*g**4 + 3158*g wrt g?\nAnswer: 156*g**2 - 564*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 142*d**2 + 138*d + 126. Calculate q(70).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3995 divided by 5.\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1298 + 1290 - (-2 - 54)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 + 9*t - 6. Calculate the least common multiple of 12 and v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -183305650, -183305649, -183305648, -183305647, -183305646, -183305645?\n\"Answer: z - 183305651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*p**2 + 15*p - 37*p**3 + 2 + 59*p**3 - 37*p**3 + 7*p.\nAnswer: -15*p**3 + 156*p**2 + 22*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 42 = 9*k. Is (3639\/6)\/(3\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5449 - -20971?\nAnswer: 26420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/(-3)*(-2 + 5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3130 + -4?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - -10 - (41 + 0)) + 1 + 8\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 1786?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/14591590 and -53\/436384.\nAnswer: 233465440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/60 + g**4\/6 + 9*g**3 - 5665*g**2. Determine y(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k**2 + 12*k + 108. Suppose -187 = 17*z - 28*z. Let u be h(z). Round u to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/647030483 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/5 - 20821*p\/5 = 0. Calculate p.\nAnswer: -20821, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/(-4))\/(3\/29) is divided by (-18)\/45 - 32\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -36, 8, -0.02, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42314562217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11\/1025256?\nAnswer: -11\/1025256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1023 - 2049\/2. Let g = -17.83 + -0.17. Let m = 13 + g. What is the second smallest value in m, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6666 + -6628. What is the least common multiple of 34 and h?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 169, 162, 121, 28, -135?\n\"Answer: -3*y**3 + y**2 + 11*y + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -460*c + 1845. Let g be q(4). Suppose 0 = 5*m - 2*m - 12. Put g, 3, m, 0 in descending order.\nAnswer: g, m, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -5*t**2\/2 - 204. Let o(p) = p + 1. Let q(a) = 14*a + 2. Let v(u) = 6*o(u) - 3*q(u). Calculate v(b(z)).\nAnswer: 180*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*z**3 + 4*z**3 - 59*z + 59*z to s*z + b*z**3 + y*z**2 + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u - 5. Suppose 3*b + 8 = 2. List the prime factors of g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g - 8, 12*g - 8871 = -h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98*c*u*z + 81696*c*z**3 + 4*c*z + 153*u*z**3 + u*z + 2*u - 43*z**3 - 11*z - 2 wrt c?\nAnswer: -98*u*z + 81696*z**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - b - 20 - b**2 + 2*b**2)*(-12*b + 32 - 32).\nAnswer: -12*b**3 + 12*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2406 * 6.085.\nAnswer: -14640.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27908.\nAnswer: 2, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*c = -416*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 214 + 8786 = 0. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013266724431 to 6 decimal places.\nAnswer: -0.001327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 25*c + 7. Let y(d) = 2*d - 5. Let b be y(5). Let u be j(b). Suppose 3*l = 6*l - u. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 176 + 16*i - 62 - 52 - 61.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 504737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749919.7kg to milligrams.\nAnswer: 749919700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3779*c = -11298*c + 3763*c + 3808*c - 3016 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j - 5. Let s be i(4). Let o(x) = -x**3 - 6*x**2 - 10*x - 3. Let c be o(-2). What is the greatest common divisor of c and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126153 (base 12) in base 15?\nAnswer: -5e239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315470*m - 10 + 10.\nAnswer: -315470*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 13*j + 1. Let n be d(-7). What is the third smallest value in n, -2\/5, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6013*l - 204446. What is x(-34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/((-19)\/1)*1\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 186\/5, 1\/6, -4, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-4 + 2*sqrt(1152))\/(sqrt(576)*-2 + (sqrt(729) - sqrt(729)*2)).\nAnswer: -8*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 77*q**3 + 3*q**2 - 5*q + 5. Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/3 - 44*v**3\/3 - 46*v**2\/3 = 0 for v.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 13. Solve 9 + p = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13991309, -27982595, -41973885, -55965179, -69956477?\nAnswer: -83947779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54628 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1430 - -1436. Let x(s) be the third derivative of 15*s**2 + 0*s**c - 1\/168*s**8 + 2\/105*s**7 - 1\/15*s**5 + 0*s + 0*s**3 + 0 + 1\/12*s**4. Factor x(n).\nAnswer: -2*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1334 - -1950. Suppose -344 - t = -4*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.065? (a) -0.305 (b) 0.5 (c) -7 (d) -0.6 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -5)\/4*0. Suppose g = 3*w - 39 - 69. Solve 2 = -2*t - 3*y - 2, -5*t = -4*y - w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*l*m*p - 2*l*m + 1243131*l + 16*m*p - 25*m + p wrt m?\nAnswer: -18*l*p - 2*l + 16*p - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95438286 to the power of 1\/2, to the nearest integer?\nAnswer: 9769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361\/855 - 3\/75*5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 2, g: 1, j: 1, w: 2, q: 1}. What is prob of sequence wj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 6*x + 4. Let l be o(-1). What is the smallest value in -294, l, 5?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:46 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -603\/14 - -7769\/182. Which is the biggest value? (a) f (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31449.88 rounded to the nearest 10?\nAnswer: -31450","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 divided by -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i**1)**(-2\/33)*i**(1\/2)*i\/(i**(-5\/6)\/i)*(i**(-1\/3))**(-5\/4) assuming i is positive.\nAnswer: i**(527\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44112197 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 13*m**3\/6 - 3366*m. Let f(a) = -6*a**2 + 5*a - 5. Let h(r) = -r**2 + r - 1. Let t(i) = -f(i) + 5*h(i). Calculate t(p(k)).\nAnswer: 169*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5700, -5702, -5704, -5706?\n\"Answer: -2*y - 5698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*m - 131913 - 33957. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -187191808.\nAnswer: 187191807.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1768756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 271*v**5\/60 + 3*v**2 - 80*v. Let f(m) = -2*m - m + 3*m - m. What is p(f(x))?\nAnswer: 271*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15477778940331 take away -1.9?\nAnswer: -15477778940329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ababbannaaaynay. What is prob of sequence yaa?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -19?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 - (-2 - -2). Let g be (-3 + (-252)\/(-54))\/((-8)\/6). Is g at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h**3 + 10*h. Let t(q) = -2*q**3 - q + 18*q**3 - 9*q. Let n(k) = 2*b(k) + 3*t(k). What is the second derivative of n(i) wrt i?\nAnswer: 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -15, -10, 1?\n\"Answer: 3*u**2 - 10*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5900041*c**2\/3 + 2599030*c + 858675.\nAnswer: (2429*c + 1605)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 189900 divided by 45\nAnswer: 4220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12035066143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38135*x + 19074*x + 19066*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14749 + 14749. Which is smaller: 3\/64 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77886596 to the power of 1\/2, to the nearest integer?\nAnswer: 8825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3593233 rounded to one dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccssscsscssc.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*a + 1. Let k(v) = -9*v + 1. What is k(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003338748223 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 27*b + 70*b - 43*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1010002 (base 3) to base 4\nAnswer: 30230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/((-14)\/4) + 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31959140 divided by 2.\nAnswer: -15979570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -1)**2*4 + -1.\nAnswer: -64*sqrt(11) + 2819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 24*g**3 - 4*g**2 + 4*g - 2. What is the least common multiple of m(1) and 58?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 16*w. Let t(l) = -25*l**2 - 14*l**2 + 42*l**2. Calculate t(s(i)).\nAnswer: 768*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163713 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 3*a**2 + 3*a + 13. Let q(r) = 2*r**3 + 4*r**2 - 4*r - 13. What is -3*q(o) - 4*x(o)?\nAnswer: 2*o**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 13) to base 3\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679043 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.438 + -0.538. Let q = 14.3 - r. Let z = q - -19. Which is the closest to 0? (a) z (b) 3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 54 + 18. Let o = s - -12. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*t**4 + (39 + 2*t - 68 + 39)*(-4*t**3 + 3*t**3 + 3*t**3) to h*t**2 + y + w*t + x*t**4 + r*t**3 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 37776.\nAnswer: -37773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1086.\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 130*x + 119*x + 3 as y*x + f and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*v**4 - 387262*v**2 - 74948706 wrt v?\nAnswer: -112*v**3 - 774524*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -958 or 0.0946052?\nAnswer: 0.0946052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 29, 1\/3, -1\/13, 42, -2\/3, 1\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 4*g + 1. Let y(v) = 5*v**2 + 7*v - 1. What is 7*i(h) + 4*y(h)?\nAnswer: -h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-5)\/10*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41119 and 4264.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25691545\/172 + -149369. What is the common denominator of 59\/22 and y?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 9*p + 25*p**3.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/21671811 and 43\/15.\nAnswer: 108359055","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -816 + 4098\/5. Which is greater: h or 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-9)\/(-2)) - (-196)\/(-315).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 - 38835*g**4 + 20814794*g**3 - 3748784760*g**2 + 227058616800*g - 223330608000 = 0.\nAnswer: 1, 180, 38294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1474*i + 19327. Determine f(-13).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12449 + -12449.22. Let y = 3.3 - 3. What is the smallest value in 5, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -940 + 6607\/7. What is the second biggest value in 0.3, 0, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 42. Calculate the remainder when d(16) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -348938865 divided by -253\nAnswer: 1379205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/(l**8\/l))\/(((l**3*l*l)\/l)\/l*l)**8)**(-2\/45) assuming l is positive.\nAnswer: l**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20963 - 20946. What is the remainder when 6969 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 4, e: 1}. Give prob of picking 1 i and 1 e.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 4*n**2 - 2*n**4 + n + 2*n**2 - 3*n**4 + 2*n**2 - 2*n**2 + (3*n**2 - 2*n**2 - 3*n**2)*(2*n**2 - 3 + 3).\nAnswer: -9*n**4 + n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = -3*n + 102. Let p = n - 109. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - 5*m**2 + 2*m**2)*(4 + 3 - 12)*(-21 - 13 - 7)*(3*m - 2*m - 4*m + (5 - 1 - 2)*(m - m + m)) as k*m + r + s*m**3 + o*m**2 and give s.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 4, b: 5, x: 1, z: 3}. Give prob of sequence nz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70691412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let d = -11 + 8. Let k be d\/(-1) - (3 - n). Solve -k = -2*v, -r + 5*v = v - 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g*o**4 + 114*g*o**2 - 7*o**3 - o**2 wrt o?\nAnswer: -168*g*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1217 and 3153247?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3369, -3376, -3395, -3432, -3493?\nAnswer: -3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -2 + 2. Suppose r*v = -12*v - 68400000. Round v to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 983, 1964, 2945, 3926, 4907, 5888?\n\"Answer: 981*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4\/7 - 13*p**3\/7 - 16*p**2\/7 + 4*p = 0.\nAnswer: -2, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 1, x: 2, m: 1, h: 1}. What is prob of sequence mi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -0. Let l = -3 + r. Let n(k) = -k**3 + 280 + 4*k - 280 - 8*k + 5*k**2. Determine n(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 1. Let d be p(1). Suppose -d = j - 5*j. Solve -4*f - 3 = j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/4 - m**3 - m**2\/2 - m + 1. Let s be g(-2). What is the least common multiple of (s\/(-2) - 4)*18\/(-5) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*4\/((-4)\/2). Suppose -l - 2*i = 0, 7*i - r*i + 7 = l. Find the second derivative of -5*y + y**4 + l*y + 2*y wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 26 - 59. Suppose -3*k - 3*l + 15 = -0*l, 3*k - 19 = -l. Let f = -4 + k. What is the least common multiple of m and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/15)\/(3\/45). Is l\/5*1543*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g + 10 = -70*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*p + 17 = 2*l, -40 = -3*l + 4*p. Let u be ((-44)\/l - -1) + 3. Which is the closest to -0.1? (a) -5 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 2*m)*(0 + 0 + 2) + 0*m + 4*m - 2*m + (-2 + 3 + 4)*(0 + m + 0).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/49 + 116\/7. Let n(r) = -5 + d - 4 - r. What is the remainder when n(-6) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2898990906 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 29.17397 days?\nAnswer: 2520631008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwvvotvtuut. Give prob of picking 3 v.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/216 and -43\/36.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(153)\/(sqrt(9)*-2) + 2 - 2*(3*sqrt(425) + -3)**2.\nAnswer: -7664 + 359*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 - 37*v**2 + 11*v - 13. Let q = -306 + 315. Let d be r(q). Solve 0 = 4*c - 3*o + 11, -5*c - d*o + 2*o = 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**5 - 4*k**4 + 4*k**4)*((-2 - 1 + 2)*(6 - 3 - 2) + 2 - 2 + 11).\nAnswer: -40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5249 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 125*w**2 + 8*w + 7. Let d be n(-1). What is the greatest common divisor of 310 and d?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {d: 1, s: 2, n: 4, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 46316*r + 70.\nAnswer: -46316*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 747263 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. What is the third biggest value in g, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-1) + 3 + -2. Calculate the highest common divisor of y and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -8\/59, -1\/2 in descending order.\nAnswer: -1\/10, -8\/59, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 5*m - m)*(1 - 1 + 2)*(-2 - 1 + 6)*((-5 + 1 + 2)*(7*m - m + 2*m) + 3*m - 5*m - 7*m) as y*m + v + c*m**2 and give c.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453018?\nAnswer: 2, 7, 103787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 117 = 4*i + 108, -3*m + 18 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 283983 = 2*j, -693934 = -2*w - 5*j - 125960. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3672735 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1176 - -1867. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -39*a + 2. Let f(n) = -2*n + 8. Let u(p) = 3*p - 2 - 3 + 2*p - 17. Let k(b) = -11*f(b) - 4*u(b). Calculate z(k(h)).\nAnswer: -78*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(8640))\/sqrt(12))**2 + (((sqrt(5) + -3 + sqrt(5))*-4 - sqrt(5))*-3)**2.\nAnswer: -1944*sqrt(5) + 5661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 - 134*r**2 + 106*r - 48. List the prime factors of m(-47).\nAnswer: 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = 3*y. What is the remainder when 13 - (2 + -2 + y) is divided by ((-12)\/(-5))\/((-24)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 4 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 127 = g + 4*g, 3*k - 129 = -3*g. What is the lowest common multiple of 12 and k?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5331652 - 2747?\nAnswer: -2746.4668348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155236259.\nAnswer: 373, 587, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221020010022020 + -10?\nAnswer: -221020010022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(180) + sqrt(180))**2 + (-6*(1 + sqrt(180)))**2 + ((1 + sqrt(180))**2 + -1)*-3.\nAnswer: 420*sqrt(5) + 6697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g - 5073 - 103595 = 0. List the prime factors of g.\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, h: 4, p: 1, f: 1, d: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:27 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 2*y**2 + 2*y - 2. Let l be (-2)\/(-3) + (-14)\/12*-2. What is i(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51075*s**3 - 25537*s**3 - 9*s - 25540*s**3.\nAnswer: -2*s**3 - 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 7*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 15600.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53295841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 28 + 68*y**3 + 28 - 5.\nAnswer: 68*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4588 - 4588 = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a factor of 99960295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -517, -4, -1.\nAnswer: -517, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*u + 132*u - 8160 = 0. Calculate the highest common factor of 51 and u.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Suppose 11 = 3*z - z - m, 0 = -v*m - 25. What are the prime factors of (36\/(-20))\/(z\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - z = 36. Suppose -a - 3*a = -8. Factor w**4 + 0*w**4 - 18*w + 2*w**3 - z*w**a + 10*w - 4.\nAnswer: (w - 2)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -25 - 17) + 19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -6101\/14643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 7*j + 4. Let c be z(-7). Suppose x + g - 10 = -x, -5*x = c*g - 31. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2*z**3 - 350*j**2*z**2 - 2*j*z**3 - 398*z wrt j.\nAnswer: -8*z**3 - 700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) -2\/13 (d) -0.0198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (3 - -9) + -4 + (-2 - -12) + -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -963967, -1928124, -2892281, -3856438, -4820595?\n\"Answer: -964157*u + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (29 - 30) + (-3 - (6 - 3))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 44 = -45*b. Let r be (48\/(-30))\/(4\/(-10)). Let o(j) = -r*j**2 + 0 + 4*j**3 + 2*j**2 - 7 + 5. Determine o(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 10) in base 14?\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -161827.7? (a) 4\/7 (b) -4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2 - 2 - a - a + a + (-3 + 3 - 2)*(-3*a + 0*a + a) - 2*a + 3*a + a + a - 3*a + 4*a - 1 + 2*a + 1 + 4*a - 3*a + 0*a)*(3*a + a - 6*a)*(4*a + 3*a + a).\nAnswer: -176*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 22 = g + 32, 5*g = 2*n + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38061 is divided by 568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2751.8 - -2442.8. Which is the closest to z? (a) -0.4 (b) -5 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**3 - 4*g**2 + 19*g - 166. What is t(6)?\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3417, 6833, 10249, 13665, 17081, 20497?\nAnswer: 23913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/72 - 151\/504. What is the smallest value in m, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anaaaavgivvannv. Give prob of sequence gnva.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2122 - 2343?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.82943 to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 3*t - 4*t - 6844 + 6844 + 458*t - t - 2*t + t + (-t + t - 2*t)*(-2 - 1 + 2) + 3*t + t - 3*t - 2*t + 6*t + 12*t as a + j*t and give j.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 16*a**2 + 22*a - 116. List the prime factors of g(14).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -4*j - 1\/120*j**5 - 1\/24*j**4 + 0 + 1\/2*j**3 + 0*j**2. Let w(r) be the second derivative of h(r). Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 203*m**2 - 2354*m + 3. What is b(214)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*j + 110. Calculate the greatest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1483, 1, -3, -5 in ascending order.\nAnswer: -1483, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10011096*x. Let s(k) = 14*k**2. Calculate s(m(v)).\nAnswer: 1403108603697024*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*r - 151*r - 2 + 78*r + 3 + 3.\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + (5 - (14 - 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.12817 and -22167.08.\nAnswer: -22167.20817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*u - 3032 = 77*u + 588*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -271 - -42 - -118.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27267404, 54534809, 81802218, 109069631, 136337048, 163604469?\nAnswer: 190871894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -5\/336*p**8 + 0 - 3*p**2 + 0*p**7 + 0*p + 1\/15*p**5 + 0*p**6 + 0*p**3 + 0*p**4. Find the third derivative of x(j) wrt j.\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 4. Calculate the common denominator of -25\/12 and v\/(-6)*72\/(-32).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7416 - 7425. Let f(a) = -a**3 - 11*a**2 - 10*a + 19. Determine f(b).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.9 + 8. Let f = 456\/2795 - 2\/215. Let k = 0.2 + 0. What is the closest to h in 5, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/88 and -55\/34968?\nAnswer: 384648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2307, 9233, 20781, 36951?\nAnswer: 57743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xexexkenqxxxxxqxxqx. Give prob of sequence xxqk.\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3564516 + 20?\nAnswer: 3564536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7669.\nAnswer: -3\/7669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1480, -1462, -1426, -1366, -1276, -1150, -982, -766?\n\"Answer: i**3 + 3*i**2 + 2*i - 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678600 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75911*o**4 + 75911*o**4 - 2087*o**5 + (2*o**3 - 3*o**3 - o**3)*(2 - 2*o - 2)*(-3*o - o + 2*o).\nAnswer: -2095*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.279826ng to grams.\nAnswer: 0.000000004279826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9027165 divided by -9027165.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, 10, -1, -10, 51 in ascending order.\nAnswer: -19, -10, -1, 3, 10, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2635473 and 888?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 33*k**2 - 63*k - 53. Let c be b(31). Put -2, 2, c, -5 in ascending order.\nAnswer: c, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 37*a - 122. What is the remainder when b(-27) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 69*u**2 - 668*u - 46. What is the thousands digit of r(-40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 995 and 488744.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 953 + -949. Suppose 3*x = -3*b - 3, 7 + f = -2*x - 5*b. Solve -3 = x*n - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 8 = 3*l + 3*n, 4*l + 5*n + 3 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 2*s + 40. Solve -15 = -s*t + 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(0*j - 4*j + 5*j)*(-10*j**4 + 13 - 13).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226644725 and 856?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6 and 1*2\/42*123.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvrrx. Give prob of sequence xrv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 4. Suppose g - 12 = -z*g. Factor -5*b**2 + b**2 + 3*b**2 - 2*b**g + 3*b**4.\nAnswer: b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59.1 or -0.854?\nAnswer: -59.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 817 and 6593?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*j**3 - 57*j**2 - 12*j + 27.\nAnswer: 3*(j - 1)**2*(14*j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from hnv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 w when three letters picked without replacement from {k: 6, x: 1, i: 2, l: 1, v: 1, w: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - 56) + (-23 - -23).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 97741.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1758, -1753, -1746, -1737, -1726, -1713?\n\"Answer: i**2 + 2*i - 1761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jikhoijo. Give prob of sequence oio.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, -7, 6.\nAnswer: -148, -7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/4 (c) -45 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13512 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:05 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 + 269*y\/4 + 825\/2.\nAnswer: -(y - 275)*(y + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x**2 - 20*x**2 + 14*x**2 + (2 - 2 + 2*x)*(-2*x + 2*x + 2*x))*(5*x - x - 5*x + 1).\nAnswer: 16*x**3 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 2*k + 6. Let h be q(0). Suppose h*s + 95 = 7*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 226037 to the power of 1\/2, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = 13. Solve 0 = 3*w + 5*g - 37, 0*g - 5 = 5*w - n*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (1 - 0) - (368 - 368). Let y(g) = -13*g**2 - g - 6. Let v(l) = 39*l**2 + 3*l + 17. Determine c*v(u) + 11*y(u).\nAnswer: 13*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554388565.\nAnswer: 5, 89, 1245817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*m + 5*m - 5*k, -5*m = k - 27. Let c(d) be the third derivative of 2\/21*d**3 - 1\/28*d**4 + 1\/420*d**m + 4*d**2 + 0*d**5 + 0*d + 0. Factor c(l).\nAnswer: 2*(l - 1)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -962, -2073, -3540, -5315, -7350, -9597, -12008?\nAnswer: -14535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c - 44 = 0. Calculate the lowest common multiple of 9 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24983449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let x(b) be the second derivative of b**7\/1260 - b**4\/4 - 2*b. Let h(g) be the third derivative of x(g). Give s(h(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + sqrt(1377)*-5 + 1 + 2 + (sqrt(425)*1)**2.\nAnswer: -36*sqrt(17) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 12*x**2 + 5*x + 16. Calculate the smallest common multiple of 10 and m(12).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/23 greater than -1.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -95.5048.\nAnswer: 382.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1130511066 and 0.26.\nAnswer: -1130511065.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 21.8, 157, 2?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 465402.3 decades in centuries?\nAnswer: 46540.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(72) + -2)**2 - (sqrt(72)*3*-2 + sqrt(72)) - ((sqrt(72)*-2*2)**2 + (sqrt(72) - ((3 + sqrt(72))*-1 - sqrt(72) - sqrt(72)))).\nAnswer: -1082 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/230319 and -35\/114?\nAnswer: 8752122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + -2698.2\nAnswer: -2698.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.312 times 164815?\nAnswer: 51422.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25286249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 55980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 7 + 3*j - 7*j. Let f be w(-5). Find the second derivative of -2*n + f*n**2 + 7*n - 5*n + 2*n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 19 - 1. Suppose 0 = -5*d + x*u + 546, 2*d + d + 2*u = 320. Is 36 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y + 75. Let c be r(-12). Suppose -3 = -t - 2*n, 0 = t - 0*t - c*n - 3. Solve -2*p = -t*g - 4*p + 15, -3*p = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.9, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (35 - (46 + -25)) - 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16*z**3 - 5347*z**2 - 982*z + 6538. Give g(-334).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose r*h - 4*o = 0, 9 = h + h + 5*o. Suppose -y + 4 = -h*j, 4*y - 4*j + 2 = -2*j. Which is the nearest to -1? (a) y (b) -4\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*o**2 + 4 - 4)*(-12 + 18 - 4*o + 3*o) to u*o**2 + w + k*o + l*o**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.840903 to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, -0.3, 417959?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/42)\/(32\/(-48)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 10. Suppose k - g - 59 = 0, a*k - 155 - 30 = -5*g. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 7) to base 8.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let t = -4 + 5. Sort t, x, 4\/9.\nAnswer: 4\/9, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/(-2652)*-119*(-4)\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 56*i - 18 + 0*i**2 - 38*i + 4 - i**2. Let d be q(17). Suppose d*j + 0*j = 4*y + 213, -280 = -4*j + 4*y. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 18, -4, -7 in increasing order.\nAnswer: -7, -4, 18, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d. Let o(w) = 162*w**2 - 33*w - 33. Let i(b) = -20*b**2 + 4*b + 4. Let c(a) = 33*i(a) + 4*o(a). Give l(c(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 79 + 87 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 8:57 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*d - 12, 101*r - 13 = 100*r - 4*d - 6 + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4347 - -4926. What is the greatest common divisor of 4246 and a?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.5 (c) -17 (d) -6 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92078?\nAnswer: 2, 7, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) 0.4 (c) 63650 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -27*g**2 - 21*g + 84. Let p(y) = -5*y**2 - 4*y + 16. Let q(r) = -4*m(r) + 21*p(r). Let i(b) = -2428*b. Give q(i(l)).\nAnswer: 17685552*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*b - c + 10, -b - 4*c = -5. Suppose -2*j + 5*x - 2*x = 10, -3*x = -b*j - 7. Is 4 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8955 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9.1, 5, 16, -2\/13, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -11711.\nAnswer: -13\/11711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 355 or 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, z: 3}. What is prob of picking 1 e and 2 z?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*g**3 - 117564*g**2 + 548044*g - 639156.\nAnswer: 4*(g - 3261)*(3*g - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*i - 74 + 52 = 0, 2*i + 2 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**7\/273 - 7*q**6\/195 - 17*q**5\/130 - 17*q**4\/78 - 2*q**3\/13 + 82*q. Find a such that c(a) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 4, v: 1, o: 3, p: 4, h: 1, j: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/5)\/((-30)\/675). Let a = q - 15. What is the highest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 - 36*n**2 - 1056*n\/7.\nAnswer: 3*n*(n - 88)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -20257\/4 <= -5064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/166 and -49\/7636.\nAnswer: 7636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -508535 or -508188?\nAnswer: -508188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8403218*d + 8403200*d - 16806454*d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/157 at least -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*p**2 + 7*p**2 + 216*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlbu when four letters picked without replacement from {l: 2, s: 4, n: 3, b: 2, o: 1, u: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1009256272.937 and 12.\nAnswer: 1009256284.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -229, -6, -3, -4, 4.\nAnswer: -229, -6, -4, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/43 or 0?\nAnswer: -25\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85, -98, -119, -148, -185, -230?\n\"Answer: -4*q**2 - q - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 8:07 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and -13\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47058450 by -13542.\nAnswer: -3475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t**2. Let s(i) = -1363*i. Determine s(x(l)).\nAnswer: 10904*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8106 is divided by 245?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 61. Let c(b) = -b - 3*b + 3*b + 3*b**2 - 2*b. Let m(j) = j. Calculate a*c(o) - 3*m(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4372, -4, -5.\nAnswer: -4372, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-9))\/(-5)*8\/(-28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 43 = -5*y, -y + 17 - 21 = m. Let z(x) = 4*x**3 + 2*x**2 + 6*x + 4. Suppose -f = -2 + 8. Let o(w) = -w**3 - w - 1. What is f*o(d) + y*z(d)?\nAnswer: 2*d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*t + 5*k - 84, 74 = 3*t - 2*k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9773.545m in micrometers?\nAnswer: 9773545000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 8*j - 2355. Calculate f(76).\nAnswer: 4029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 189*j - 8*j**2 - 10*j**2 - 190*j.\nAnswer: -13*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Let v(w) = 14*w + 0 + b - 12*w. Let q(m) = 2*m**2. Give q(v(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 + n**2 + 165*n. What is q(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6 - 12\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -31.7. Let p = 2.7 + a. Let j = -0.164 + -0.036. Put p, 11, j in increasing order.\nAnswer: j, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -204 and 1000?\nAnswer: -204000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1350, 1347, 1344?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -18 - (3 - (9 + -4 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*a = -8*c + 69, 2*a = 5*c - 381. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102142270441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/5*-4*2. Let t be 338\/65 + (n\/(-10))\/4. Solve 3*x + b - 2 + 7 = 0, x - 9 = t*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 134, 133, 132, 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 16*j - 4. Let c be 25*(36\/(-54) - (-2)\/30). What is v(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**3 - 2*x**2 - x. Let s be r(-1). Suppose 0*k + 3*k - 38 = b, -5*k - s*b + 68 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2299) - ((sqrt(2299) - 2*sqrt(2299)) + -1 + sqrt(2299))**2) + 6*(sqrt(2299) + 0))*-3.\nAnswer: -231*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 24 - 14 - (0 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1192 and 9286276.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580590924?\nAnswer: 2, 11, 19, 31, 71, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2275)\/(-104) + 70\/(-80). Solve 0 = -21*k - 0*k - a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 0.5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w**2 + 13*w + 6. Let f be t(-4). Let h(y) = 2 - f + 7 + 7*y - 8. Determine h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 956 divided by 956\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*b = 193*b - 5 + 17 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(5 + -4) + -3. Suppose 5*w + 10 = v, 10 = 2*u - w - 108. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2) + (9 - 4). Suppose -x*b - 3*o + 1242 = 0, 0 = -o + 4*o - 3. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 10*w**2 - 4*w - 2. Let j be v(6). Find the common denominator of (-16)\/72 + j\/126 and -31\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6768664ms in nanoseconds?\nAnswer: 676866.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 + 43*w**2 - 47*w - 18. Let v(s) = 5*s**3 - 65*s**2 + 71*s + 27. Let o(j) = -5*v(j) - 8*z(j). Determine o(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649395.5 minutes in seconds?\nAnswer: 38963730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*q - 4*t, t = -9*q + 6*q - 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/3)\/i)*i\/i**(2\/3))\/((i*i**1)\/i*i**3\/i)*(i**(-3)\/(i\/i**(2\/7)))\/(i*i\/(i\/(i\/(i**(-2\/9)*i))*i)*i**(-4\/3)*i) assuming i is positive.\nAnswer: i**(-227\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41800 divided by 4180.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/4 - 1955*l**4\/2 + l**3\/2 + 1955*l**2 - l\/4 - 1955\/2 = 0.\nAnswer: -3910, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 140*y**2 + 2256*y + 8064 = 0.\nAnswer: -8, -6, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 6885?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-20) + 14\/(-70). Let g be ((-18)\/(-8))\/(1\/(-4)). Let l = g - -10. Which is the second biggest value? (a) l (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1686, -1711, -1734, -1755, -1774?\nAnswer: -1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*p - 317*p + 24079 = 0. Calculate the highest common divisor of p and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 80.82544 grams?\nAnswer: 0.00008082544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1. Suppose 3*s + 5*n - 6 = -0, n = -s + 2. Suppose -i = -3, -4*i = -16*z + 12*z. Let r(o) = 23*o - z + 16*o - 37*o. What is s*r(u) + 6*j(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -21 + (12 - (1 - -4)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1401080?\nAnswer: 2, 5, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655 and 49895411.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366 and 774578?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, y: 1, u: 1, k: 1}. What is prob of picking 1 m and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 25875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 11*d + 7. Suppose n - p = -3*p + 11, 0 = 4*n - 4*p - 8. Let g be t(n). Solve 0 = 4*s + o - 3, -g*s - o = 2*o + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -261*x + 77*x + 9568. What is the least common multiple of x and 716?\nAnswer: 9308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123934.\nAnswer: 2, 61967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1161 or -1162?\nAnswer: -1161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*((-105)\/119)\/(1164\/16490)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 + 3*c**2 + 2*c - 41. Let r = 453 + -460. List the prime factors of y(r).\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + m - 6*m - 97 = 0, -5*m = 2*o - 107. Let p = o - 31. What is the least common multiple of 6 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59457258, -59457257, -59457254, -59457249?\nAnswer: -59457242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 11*o**2 + 14*o + 3. Let f be y(-12). Let l = -16 - f. Suppose -3*x - 5*n = -30 - 64, -18 = -x + l*n. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77693 (base 10) to base 4.\nAnswer: 102331331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 49 = -3. Suppose 29 = 5*h - r. Suppose 4*c - s - 130 = c, 4*s + 47 = c. What is the remainder when c is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48580.691+43.8\nAnswer: -48536.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 24 = -4*p. Solve -8*o = -4*o - p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.830301 kilometers?\nAnswer: 830301000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 2*s**2 + s - 2. Let w(q) = 5*q**3 + 11*q**2 - 6*q + 9. Give 33*v(o) + 6*w(o).\nAnswer: -3*o**3 - 3*o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 61*a + 744. Calculate the remainder when 4190 is divided by z(45).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: cb43a (base 13) to base 12\nAnswer: 1588b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(4\/(-1) - -2). Suppose c*y = 8 - 240. Let q be (y\/(-4) + 3)*-5125. What is q rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32302057 and 1?\nAnswer: 32302058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159238296 + -159238277.9999911. Let a = 18 - d. Round a to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2866*m**2 + 352 - 352.\nAnswer: 2866*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -971 in -4, 1, 0.32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 12 + 96. Let f = 88 - 25. Let w = f + r. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-161 - -88) + (-28 - 3)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2 + 0*w - 7*w + 5 as m*w + z and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41810 and 740?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 163 - 3 = 0. Calculate the common denominator of ((-107)\/y)\/((-18)\/(-24)) and -13\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -369 in -1, 0.3, -0.1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 167*l + 335*l - 169*l)*(-2*l**4 + 3 - 3 + (0*l**4 + 0*l**4 + 2*l**4)*(1 - 3 + 1) - 106*l**4 + 4*l**4 - 21*l**4).\nAnswer: 127*l**5 - 4318*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-5*(-4 - -3). Calculate the highest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 177*p + 361*p - 178*p + (-3*p + 0*p + p)*(3 + 1 - 2) - 4*p + 0*p + 6*p as d + z*p and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161146 and 44325?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 20 + 6*4\/(-8). Suppose -6*v + g = -103. Calculate the least common multiple of 6 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 4*j - 24, -j + 4 = 0. Let b(g) = 15*g**2 - 3*g**3 - 17*g**2 + 5 + 0*g**3 + 4*g**3 + 4*g + 8*g**2. Does 7 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(98)*2) + -5 + ((sqrt(112) + -2)**2 - sqrt(112)) + -2.\nAnswer: -279*sqrt(7)\/14 + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 0 - sqrt(363) - ((1 + sqrt(3) + -2)**2 - sqrt(3)).\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(468)*-6 + sqrt(637) + (sqrt(637)*-2*-6)**2) + -2.\nAnswer: -174*sqrt(13) + 550366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let f(h) = -8*h**2 + 2*h + 2. Let i(b) = 9*b**2 - 3*b - 3. Let r(g) = 3*f(g) + 2*i(g). Determine r(j(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/873450 and -31\/6750.\nAnswer: 4367250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 506 or 508?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 700 = -9*j + 110 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 2.7. Let f = -58 - -51.7. Let q = f - -6. Sort m, q, -1 in decreasing order.\nAnswer: q, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5 = -5*m, -5*o = -19*m + 22*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1858994, -3717930, -5576868, -7435808, -9294750, -11153694?\n\"Answer: -b**2 - 1858933*b - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 33 = -3*g, -3*k - 2*g + 29 = 3*g. Suppose 0 = 6*u - 42 + k. Which is smaller: 30\/11 or u?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c + 87 = 11*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171 - 211 = 282*n - 2424 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 4\/5, 2\/41, -3, 0.001, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 438\/(-90) + 5. Let m = 0.05 - 0.35. Let k = 2.3 + m. Which is the closest to 0? (a) k (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from jgr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 41 = 19. Calculate the highest common factor of p and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3.5. Let i = -0.004 + 4.074. Let d = i + -0.07. What is the smallest value in -0.18, a, d?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (169\/325 + -1)\/(2\/(-5))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 451 or -4335?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from gvgqqvgvvvqvqgvqqvqg?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 + 20*d**3 + 28*d**3 - 37*d**3 + 52*d**3.\nAnswer: 73*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or 6?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -23. Solve -6*c - 20 = -q*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263070*x - 263064*x + 526135*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144692*q**4 - 196982*q wrt q.\nAnswer: 1736304*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3306 = 6*k - 26964. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, 136, 202300 in descending order.\nAnswer: 202300, 136, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 2*y. Let z be o(-2). Solve 8 = z*c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -825 + 824.9. Let x = 1\/45 - -8\/45. Put m, x, 4 in increasing order.\nAnswer: m, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15615 - 15342. Calculate the greatest common factor of q and 4732.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62940718107 + -5\nAnswer: -62940718112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31498 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78717326 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31321 - -1?\nAnswer: 31322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0228 at most 0.39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -2. Let h be (-16)\/k*(-28)\/12. Which is greater: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 12. Let a be h(-7). Put a, 19, 1, 0 in decreasing order.\nAnswer: 19, 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1579 or -1578?\nAnswer: -1579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*h = 4172*h - 161265 - 66335 for h.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:44 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/((-288)\/3700598) + 16\/(-9) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 83569659 and 83569657 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 117\/239974?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 450, 663, 806, 849, 762, 515, 78?\n\"Answer: -5*z**3 - 5*z**2 + 263*z + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/12)\/(-1)*3903\/26020?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*y - 1266328 = 211*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 71. Let o = -178 - f. Let r = o - -186.0000337. What is r rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - m + 4*m + 19, m = 2*z + 1. Let n(c) = 23*c**2 - 2*c. Let k(b) = -b**2. Let t(i) = z*k(i) - n(i). Find the second derivative of t(l) wrt l.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 4*y**2 - y**2)*(-4 + 0 + 1) + 2*y**2 + y**2 - 5*y**2 - 2*y**2 + 5*y**2 - 2*y**2 + (4*y - 3*y - 2*y)*(-3 + 4 + 1)*(-3*y + 5*y - 5*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 5:38 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*2 + -2.\nAnswer: -2 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 17*p**2 + 3. Suppose -21*c = -12*c - 18. Let i(s) = 0*s**c - 478 + 2*s**2 + 478. Calculate i(x(n)).\nAnswer: 578*n**4 + 204*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88701570 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*t - 4*v, 5 = -v + 1. Let d(z) = z**3 + 15*z**2 + 39*z + 356. Let n be d(-14). Solve 2*u + n = t*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.2271 and -240.4.\nAnswer: -238.1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48000 and 1032000.\nAnswer: 2064000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60496 and 3184.\nAnswer: 60496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose -v*c - 28 = -c. Let a = 3 - c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/12)\/r*r\/(r\/(r*r**(-5)*r)*r)*(r*r\/r**(-2\/9)*r*r)**(-4\/5)*((r\/r**(-1\/3))\/r)**(-46)*r**(-6\/7)\/r*r*r*r**(-1\/2)\/r*r assuming r is positive.\nAnswer: r**(-30221\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 14*s + 4*s**2 - 8*s + 6*s**2. Let d(g) = 3*g**2 + 2*g. Let i(k) = 13*k - 49. Let h be i(4). Determine h*o(b) - 8*d(b).\nAnswer: 6*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i + 138*i = -75*i - 1197840. Is i bigger than -4829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 2 + 2*y**3 + 0 + 0 + (y**2 - 5*y**2 + 2*y**2)*(-4*y + y + 0*y) + 6*y**3 - y**3 - 3*y**3.\nAnswer: 10*y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -202024?\nAnswer: 202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2. Let j(o) = 187*o. Let l(p) = -2*p. Let x = -166 - -81. Let t(a) = x*l(a) - j(a). Give m(t(w)).\nAnswer: 1445*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25\/15)\/(3\/9). Suppose -2*c = -c - y. Let w = -3 - -6. Solve c = -w*m - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9849 and 9848 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + 4*z. Let j(p) = -p. Give -4*j(n) - v(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -25526, 4, -1, 0.3 in decreasing order.\nAnswer: 4, 3, 0.5, 0.3, -1, -25526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -712 - 939. Let u = -1082 - r. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/9)\/(4718\/3033). Which is the closest to i? (a) -0.32 (b) -7\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 1444 = -1031. Which is smaller: -273 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12675 - 38024\/3. Sort 2\/11, -1.2, 47, 0.3, j in descending order.\nAnswer: 47, j, 0.3, 2\/11, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19159421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1488 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8.146 times -2\nAnswer: -16.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/3 + 4421380*w\/3 - 2443575138050\/3 = 0. What is w?\nAnswer: 1105345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 16070400 to the nearest one hundred thousand.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, f: 1}. What is prob of picking 1 f and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1. Let t(z) = 7*z**2 + 21. Let n(r) = 21*q(r) - t(r). Let a(v) = 9*v**2. Give n(a(x)).\nAnswer: -567*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198841?\nAnswer: 198841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12834, 51414, 115736, 205818, 321678, 463334, 630804?\n\"Answer: 3*f**3 + 12853*f**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -83*u - 3 + 3 + 82*u. Let d(i) = 54*i. What is d(r(b))?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/29)\/o**(15\/7)*o\/o**1*o*o**11 assuming o is positive.\nAnswer: o**(2008\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9)*3)\/38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 574*u - 2567. Calculate q(-85).\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -10 - (12 + 2 - 53)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -161*m. Let n(g) = 2*g. Let f(r) = -6*r. Let a(w) = -4*f(w) - 11*n(w). Determine l(a(i)).\nAnswer: -322*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let w = 4 - d. Suppose w = -c + 2. Calculate the remainder when 2 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18139\/47 or 2?\nAnswer: -18139\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, -0.001, 1898 in decreasing order.\nAnswer: 1898, -0.001, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100001 - 10?\nAnswer: 11001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -o + 112, 0 = -2*z - 3*o + 16 + 96. Suppose -z = -s + 45. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(6*w - 2*w + 3*w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9398 + -3?\nAnswer: -9401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 14, 0, 5 in decreasing order.\nAnswer: 14, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 239 and 268 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/38)\/(13 + -14). Let i = -26\/291 - 482\/1843. Let n = y - i. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 632*z**2 - 72*z - 264. Let f be w(-7). Round f to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67986.55 and 1307.1?\nAnswer: 66679.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -32*n + 1. Let u(b) be the first derivative of 4*b**3 + 4785. Calculate h(u(x)).\nAnswer: -384*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 133*r - 587. Is i(13) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + c - 8 + 14.\nAnswer: 3*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34153, 18668, 3183, -12302?\nAnswer: -27787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 69\/2*m + 3\/8*m**2 - 69\/2*m**3 - 3\/8*m**4 + 0 = 0.\nAnswer: -92, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29834556.0018 - -29837934. Let y = g - 3380. Let x = -2 - y. What is x rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxfguuxw. Give prob of sequence wfu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5148 - 5066. Let y = -492 - -842. Let b = y - 227. Calculate the greatest common factor of b and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-10))\/((-6)\/15). Let i(t) = -t**2 - 20*t - 9. Let y be i(-20). Let u be 6*3 - (y - -7). Solve -4*c - 16 = 0, -z - m*c = 2*c + u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o + 715. Suppose -4*v - 5*t + 191 = 0, -2*v = -4*v + t + 99. Calculate the remainder when v is divided by h(69).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + 8 + 601 + -614?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:18 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:00 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 4. Let c be 2\/(-6)*h*-3. Suppose c*q + q + j = 22, -4*j = 8. Solve 0 = 5*m - q + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndmkq. Give prob of picking 1 m and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27916 divided by 390\nAnswer: -13958\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -1)*(-20)\/(-25). Suppose 3*u - 5 = l*h - 4, -5*h = -2*u + 3. Which is the closest to h? (a) 5 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -221 - -225. Suppose -m*j = 4*z - 952, 0*j - j + 2 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - ((-4)\/1 + 4). Suppose j = -v*j. Suppose j = 3*u + 4*u - 42. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + x + x - 36.\nAnswer: 2*x - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b**(3\/5)*b*(b**(-1)\/b)**(-3\/11))\/((b*b*b**(-1\/6)*b*b**(-1\/2))\/(b**(-2)*b)**(-1\/10)) assuming b is positive.\nAnswer: b**(1951\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 34, 71, 132, 223, 350, 519, 736?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, -4242, -3, 58, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a second in milliseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, g: 4, r: 1, s: 1, h: 4, x: 3}. Give prob of sequence sdx.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1357053\/2 + 4765728\/7. Let i = 2295 - d. Find the common denominator of i and ((-4)\/54)\/(4\/(-3)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k + 18. Let d be k - (-6 + 5) - -15. Solve 0 = 3*f + 2*f + d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 135, 233, 331, 429?\n\"Answer: 98*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218353, -436852, -655351, -873850?\nAnswer: -1092349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.43 in -2, -35, 2, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 = 3*d, -3*y + 0*y = -12. Suppose d*s - 2*z - 3*z - 120 = 0, 3*z = 4*s - 95. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11597, 12245, 12893, 13541, 14189, 14837?\nAnswer: 15485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 334256 and 4784.\nAnswer: 7687888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 1504268600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111*q**2 + 250521*q - 13542.\nAnswer: 3*(q + 2257)*(37*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7714.581 millilitres to litres.\nAnswer: 7.714581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53, -677, 4\/11, 6\/11 in decreasing order.\nAnswer: 6\/11, 4\/11, -0.53, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9187*u - 9187*u - 89 - 39*u**3 wrt u.\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 20. Suppose -k*z - 4*w = 1468 + 548, -4*w - 16 = 0. Let o be (-142)\/4*-40*z. Round o to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.46 not equal to 28.0222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/12 + 5*u**3\/6 + 3*u**2 + 3*u. Suppose 28*a - 2*w - 14 = 29*a, a - 5*w - 21 = 0. Give x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4520 and 117\/687040?\nAnswer: 687040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84356547\/4 - 360624353159\/17100. Let c = r - 6\/475. What is the common denominator of c and 3\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1177 = -o + 1167, 0 = o + 15*c - 8 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/76 and 81\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-1)\/(-3))*-6. Let t(w) = w**3 + 97*w**2 + 3*w - 1. Let v(u) = 98*u**2 + u - 3. Let o(b) = t(b) - v(b). What is o(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/5 - 118*o**2\/5 + 1798*o\/5 - 1682\/5 = 0. Calculate o.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.452, 2, -3?\nAnswer: -0.452","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 152, 344, 614, 962, 1388?\n\"Answer: 39*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, -2, 25 in descending order.\nAnswer: 25, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6*v*v**(-17) assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 3*d**2 + 2*d - 2. Let f be (-2)\/4*(4 + 0). Let g be t(f). Find the second derivative of -13*b**4 - g*b**4 + 27*b**4 - 6*b wrt b.\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (8 - 8) + -19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*h - 6, -5*h + 3*t + t - 8 = 0. Sort h, -4, -14, -3 in decreasing order.\nAnswer: h, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 + 183. Let m(k) = 2*k**3 + 2*k**2 - 3*k + 2. Calculate m(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + 102 + -225 + (34 - 23)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -11*d**3\/6 - d**2 + 3*d + 16. Let o(k) = -11*k - 3. What is 2*o(v) - 3*y(v)?\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 2\/5 (c) 0.1 (d) 668\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8371 = -6*k + 4*z - 8431, 0 = -4*k + 2*z - 15 - 23 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2084 = -x - 2*m, 4*x + m = -2782. Let n = -464 - x. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -154*g - 1. Let f be n(-1). Let u = 24 - 19. Suppose 4*l - 1 = -13, u*q = -2*l + 79. Calculate the highest common divisor of q and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**2 - 3671802*i - 524543.\nAnswer: -(i + 524543)*(7*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16124 + 0*g**2 + 9*g**2 + 16124.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let z(f) = f. Let b(o) = -o. Suppose 2*s = 4*s - 10. Let l(t) = s*b(t) + 4*z(t). Give v(l(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 6, -0.25?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t**2 + 1. Let i(r) = -6*r**3 - 5*r**2 - r. Let v = -513 - -508. Let s = 1048 + -1047. Calculate s*i(j) + v*p(j).\nAnswer: -j**3 - j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/2*(-10)\/(-10). Let a be (-4 - 0)*z\/2. Suppose -c = i - 3*i, -2*i + a*c - 4 = 0. Sort -4, -5, i in ascending order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 2275 = -10*i - 70*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/((2 - 0)\/6))\/(-3). Let g(x) be the second derivative of -7*x**4\/12 - x**3\/2 + x**2 - 18*x. Give g(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 794681, 73?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*k - 65*k + 297. Solve k*w + q = -4*q - 2, w - 2*q = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 + 7*x - 5. Let s be b(1). Put s, -19, 1 in increasing order.\nAnswer: -19, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(36)\/(sqrt(144)\/sqrt(12)) + sqrt(3)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -61\/4, -0.02, 1 in decreasing order.\nAnswer: 1, 0.1, -0.02, -61\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -310 - -308. What is the closest to 0 in 0.5, l, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2184 + 2639. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -70\/9, 0.4, 0, 0.05, -5 in decreasing order.\nAnswer: 0.4, 0.05, 0, -5, -70\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - -5. Let f = 60 - m. Calculate the common denominator of 37\/5 and (-4)\/14 - (-269)\/f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/(((a**(-7)*a)\/a)\/a))\/(a**(2\/11)*a**(1\/3)) assuming a is positive.\nAnswer: a**(478\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271927 or 271924?\nAnswer: 271927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-333)\/12 + (-2)\/8. Let p be (-104)\/w + 4\/14. Let b(j) = j**3 - 3*j**2 - 4*j. Let k be b(p). Solve k = -2*c + 6*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - 48 - (42 - (63 + -8))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 = -4*r + 437 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3058\/5 + -612. Are s and 956\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2109 divided by -89773.\nAnswer: 2109\/89773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -118387, -118388, -118389, -118390?\n\"Answer: -m - 118386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 583 + -531. Let i(s) = s**2 + s. Let z be i(-2). Let p be z + -1 + 11 - -1. Calculate the highest common divisor of k and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -1.3 (c) 0.0965\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 60\/(-16) + 9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13205, -26688, -40163, -53630, -67089?\n\"Answer: 4*j**2 - 13495*j + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3921, -5, 1 in descending order.\nAnswer: 1, -5, -3921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -395 smaller than -394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*(2*-10)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6433242531 to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13069, 13045, 13023, 13003, 12985, 12969?\n\"Answer: v**2 - 27*v + 13095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 3. Let i be r(-5). Let c(x) = x**2 - 7*x + 12. Let a be c(5). Suppose -a - i = -z. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/59630 and 9\/80668.\nAnswer: 35897260","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**2 + 5*d - 31. Let b(f) = 90*f + 99*f + 99*f + 98*f - 6 - 385*f. Give 5*b(i) + 6*n(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48271181.\nAnswer: 7, 23, 53, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3232 and 285022.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0 + 1\/(-4))*-8. Let g be (7 + -5)*(-1 - 21\/u). Suppose -g*l = -5*b - 220, -l + 3*b - 8 + 48 = 0. Calculate the highest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15832\/(-18) - 8\/(-36))*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16019 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**3 - 2*r**3 - 3*r**2 - 6*r**3)*(2*r - 4*r - 2*r) to n*r**2 + h*r + m + b*r**4 + v*r**3 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/143 and 73\/52?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Let v = 107 + 7. Let x be -3 - 0 - (-330)\/v. Is x >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 236176898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*w = 8, 2*w - 4*w = -n - 5. Solve 2*f + 11 - n = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 4. Let r be b(-7). Let h be 888 - (-12 - (3 + (-24)\/3)). What is the third derivative of 16*v**r + h + 24*v**2 - 895 wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10700*v - 42791. What is q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 128\/7 - 2\/7. Let m be (-96)\/q - 3\/(-9). Is m at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.277841 + 18.60784. Let w = -1.33 + k. What is w rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18684441 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 29. Let n be 2\/10 + (-228)\/540. Which is the second biggest value? (a) n (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 278*w**3 + w**2 - 6*w. Let b be i(2). Suppose n - 2*z = 451, 3*z - b = -n - 4*n. Let f = -241 + n. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 127. Let w be (-1)\/(12\/20 - 33\/f). Solve 2*s = -6 - w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 43373280 = -30*t - t. Round t to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1700)*2*-6 - (3 + 1*sqrt(425))).\nAnswer: 9 + 375*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v)\/(v*v\/(v*((v**(2\/9)\/v*v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 751.9.\nAnswer: 751.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = 5*n + o, 2*o + 136 = -5*n - 90. Let y = n + 91. Let z = 52 - y. Solve 5*m = 4*g - 7, 4*m + 0*g + 22 = -z*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6 - 2 - 1 - 2 + a. Determine k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/10 - 34\/(-10). Let a be (-12)\/(p + (-56)\/12). Suppose a = -7*f + 13*f. Solve 4*y - f*y = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(1088)*1 + (sqrt(1088) - (-2 + -3*sqrt(1088))))**2 + 3 + 0.\nAnswer: 27198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42990601 is divided by 429906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.7*17.271.\nAnswer: -202.0707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + c - 5 = 0, 3*s + 30*c + 335 = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -31 - (31 + -70 + (27 - 5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdhh when four letters picked without replacement from hhfdhdhndhnf.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**3 - 356*t**2 - 2592*t = 0.\nAnswer: -81, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + c - 26 = 3*c, 0 = -4*h - c + 47. Suppose -u - 5*u = -h. Calculate the highest common divisor of 18 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154758238111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let r = m - 1. Calculate the greatest common divisor of r and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15555065471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1029 - -21598\/21. Calculate the common denominator of y and -5\/68.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/5, -18, -4, -5, -260 in increasing order.\nAnswer: -260, -18, -5, -4, -2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = 14*a - 308 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 2268.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 2585920?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7) + (0 + -29 - -34)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:38 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (374 - 3) + 4 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 0 - 2)*(-1 - 3 + 5)*(-3 + 0 - 2)*(i + 2*i + i)*((4 + 8 - 18)*(1 + 0 - 3) - 5 + 1 + 2) in the form n*i + c and give n.\nAnswer: -1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -17. Suppose -2*g + y + r = 0, 9 + 17 = 5*g - 3*y. Factor 3*l**4 + 3*l**3 + 2*l**4 - g*l - 4*l**4.\nAnswer: l*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45948)\/(-241227) + (-1688)\/42?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a. Let x(i) = 138*i + 1. What is h(x(p))?\nAnswer: 414*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06309 and -2.69.\nAnswer: -2.75309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -28*h - 2. Let a be l(-2). Suppose 4*t - a = 378. Suppose -t - 28 = -4*k + 4*j, -4*k - 2*j = -166. Calculate the least common multiple of k and 33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 2. Let d be h(2). Suppose 3*g + 35 = d*y, -1 = 3*y + 4*g + 4. Suppose -y*z - 11 = -36. Solve -z*p + 29 = 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/1*4\/(-14). Solve -3*u - 5*f = -25 - 9, -k*f + 13 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from nanppnnnnn?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-27) - -2*(-1)\/6. Let f(h) = -h**2 + h + 7. Let s be f(m). Find the first derivative of 7*z + 4 - 4 - 3*z + s wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 - 7*p + 5. Let w(a) = a**2 + a - 1. Let h(i) = -k(i) - 5*w(i). What is the remainder when h(-5) is divided by 0 + (3*-6)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3523126?\nAnswer: 5\/3523126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 21*g - 6*g - 3*g + 2*g + 0*g + (1 - 2 + 0)*(2*g - 4*g + 0*g).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 8:35 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -571, -399, -115, 281, 789, 1409?\n\"Answer: 56*u**2 + 4*u - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4285 + 7865. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + 1222178735.\nAnswer: 1222178735.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13702167.\nAnswer: 3, 1522463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 53*q**2 + 470*q - 15. Determine p(42).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m**2 + 2*m**3 - 38*m**2 + 73*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + w**3 + w**3 + (-2*w**3 + w - w)*(2 - 4 + 4) + (3*w**2 - w**2 - 4*w**2)*(-3*w + 2*w - w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1421\/45 - 159\/5. Let u = 2067.8 + -2068. Which is the second biggest value? (a) u (b) -6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*v - 4, 2*l = 4*v - 6 + 14. Let j = -578.4 - -578. Which is the nearest to 2\/5? (a) 4 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 921353, -0.3, 8?\nAnswer: 921353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5486*c**5*v - 30*c**5 + c**2 + 3*c*v - 1182*c + 58*v wrt c.\nAnswer: -329160*c**2*v - 1800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d - 1. Let n(c) = -4*c**2 + 5*c + 5. Let q(f) = 2*n(f) + 10*u(f). Let t(y) = 58*y. What is q(t(m))?\nAnswer: 6728*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*m + 286299 - 9739. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 5541*c**3 - 12*c**2 - 22164*c.\nAnswer: 3*c*(c - 2)*(c + 2)*(c + 1847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13 - 11*x**3 - 9*x**3 + 11*x - 8*x**3 - 10*x**2 + 29*x**3 - 2*x**3. Determine t(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60.6 in -3\/2, -4, -0.1938, -0.09, -0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -6292?\nAnswer: 7\/6292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1)\/((-4)\/20). Differentiate -19 + 2*n**2 + 5*n + x*n**2 - 9*n with respect to n.\nAnswer: 14*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 77002 + -9 + 7. What is h rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(20)\/(sqrt(20)\/sqrt(5)))**2)*2.\nAnswer: -10 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.12 - 0.12. Let x = -17.1 - -17. Are x and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -264, -527, -790?\n\"Answer: -263*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 + 0)*(-1259 + 9*o - 2*o**3 + 1259) to the form h*o**3 + t + r*o**2 + d*o and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**5 - 7557*g**4 - 14333538*g**3 - 213057746*g**2 + 469146339*g - 241747497 = 0.\nAnswer: -3771, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/((w*w**5)\/w))\/w)\/w*w\/(w**4*w)*((w*w\/(((w\/(w\/w**1))\/w*w)\/w))\/w)**3)\/((w**2)**41)**18 assuming w is positive.\nAnswer: w**(-1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b04 - 4?\nAnswer: 3b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + 129. Calculate the remainder when w is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18070 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y = -17978 + 17402 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*p**2 - 514*p**3 - 192*p**2.\nAnswer: -514*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose -3*f + 20 = 5*y - 60, -3*y - 66 = -v*f. Suppose -3*n + n = -f. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, t: 2, i: 4, d: 4}. What is prob of picking 1 p and 1 i?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -72, -59, -40, -15?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from asqrqaxqraj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38632052 to the power of 1\/2, to the nearest integer?\nAnswer: 6215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 + 18764*t**3\/3 - 896740*t**2\/3 - 2543212*t\/3 + 315560 = 0 for t.\nAnswer: -1610, -3, 1\/3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2, 1\/8, -4, -60 in decreasing order.\nAnswer: 2, 1\/5, 1\/8, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-17) - 2 - (-19)\/228*12.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o - 6. Let a(l) = -l + 3. Let b(j) = -j**2 + 15*j - 10. Let u be b(14). Let h be a(u). Put o, 1, h in descending order.\nAnswer: 1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20245\/4 + 5086. Suppose -h - h = 50. Let d = b + h. What is the closest to -1 in d, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 2*s**2 + 4*s - 3. Let t be l(3). Let c be 1\/2*t\/2. Suppose -3*b - 16 = 4*q, -3*b + 2*q = -3 - 23. Solve c = 3*o - o + b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*y - 624, 0 = y - w - 3*w - 141. Let z = 909 + -870. Calculate the remainder when y is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5 - 2*i**4 + 5*i**3 + 10*i**2 - 4*i - 8 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10379 (base 11) to base 6.\nAnswer: -153510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3535787 is divided by 986.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 31 + 43 = -2*c, -4*c = -5*p + 183. Find the common denominator of p and 61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 36\/11, 311, 0?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 4*p)*(5*p**3 + 8*p**3 - p**3) + 2*p**4 - 4 + 4 + (-p**2 + p**2 - p**4)*(0 + 1 - 3) - 3*p**4 + p**4 - p**4.\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxbr when four letters picked without replacement from {x: 9, l: 4, f: 1, r: 2, b: 3}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16247214\/23 or 706400?\nAnswer: 706400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 - 4*b - 4. Let j be (3 - (-20)\/(-8))*14. Calculate the least common multiple of 3 and c(j).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/2 + 1190*j. Let x(l) = -11*l + 2. Let a(f) = -f - 1. Let z(t) = -4*a(t) - 2*x(t). Calculate z(v(w)).\nAnswer: 78*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53397 * 1\nAnswer: 53397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11576 and 1153259?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:22 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -321 (b) 0.3 (c) -0.2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - -26. Suppose 21 = -8*p + y. Solve -q = p*q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 11*k**2 + 0*k**2)*((-3 - 3 + 1)*(k + 0*k + k) - 2*k - k + 7*k + 3*k + 3*k - 3*k).\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-8)\/(-12)))\/((-1)\/1)*5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 1 in increasing order.\nAnswer: 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 39 - 6. Let p(q) = -q - 2. Let f be p(a). What is the remainder when (f + (3 - 2))\/1 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1291 + 1299. Suppose 30*a - 8*a - 1474 = 0. Calculate the remainder when a is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7302 + -131507\/18. Let a = 650\/17 + -4443\/170. Calculate the common denominator of a and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 + 3*l**4 + 2*l**3 + 0*l**4 + 12*l**3 + 20*l**2 = 0. What is l?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/30 - 38\/(-12). Suppose -d - 3 = -2*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let j(v) be the first derivative of -v**4\/12 - 2*v - 4. Let q(d) be the first derivative of j(d). Give o(q(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**(2\/7)*b))*b)\/b*b*b)**13*(b*((b\/b**(-2\/21))\/b)\/b*b)\/b**(2\/7) assuming b is positive.\nAnswer: b**(1187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80975, 81077, 81179, 81281, 81383?\nAnswer: 81485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*g**4 - 3*g**2 + 9*g**2 - 36*g**4 + 2 - 5*g**2 + 7*g to the form f*g**3 + v + m*g**4 + n*g**2 + q*g and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 56674970?\nAnswer: 56674971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-120)\/(-6)))\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 + 4 = 0. Suppose -a*i = -5*f + 9, i - 14 = -3*i - 2*f. Suppose 0 = -t + 4*t - 18. Solve t = -i*h + 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:50 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from hueehkeuhwmuhh?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 17 = 4*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j + 4*q - 14, -2*j + 5*q = 4. Let o(l) = 116 - 38 - l**2 - 28 - 5*l - 34. Let r be o(j). Which is greater: r or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**5 + 43 + 25*f - 132*f**2 - 43 - 90*f**3 - 97*f - 27*f**4 = 0. Calculate f.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-2\/7))\/z)\/z*z)**(2\/185))**(-1\/10)*((z*z\/z**3)\/(z**(-3)\/z))\/(z\/z**1*z*z**2) assuming z is positive.\nAnswer: z**(2\/6475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 15 = 3*s, -4*u - s - 2 = 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1330023202?\nAnswer: 1330023133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*g = -17, 4*g = l - 0*l - 27. Let w be 141\/3 + 2 - 0. What is the greatest common factor of l and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4139*t - 4146*t + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180 (base 9) to base 14.\nAnswer: -ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -241, -766, -1547, -2584?\nAnswer: -3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -59. Let y be (-77)\/231 - 14\/(-6). Suppose 0 = -y*b - b + v. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23272087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 451, 1383, 2805, 4717, 7119, 10011?\n\"Answer: 245*x**2 + 197*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80700 and 12900.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24257341*-2.4\nAnswer: 58217618.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1444, -3051, -4584, -6049, -7452, -8799, -10096, -11349?\nAnswer: -12564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*f - 5*f. Suppose 5*v + 423 - 3598 = f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 71\/52?\nAnswer: 71\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*-1*1 - -2. Let t = 12 + s. Suppose 2*f = 6*w - w - 3, 3 = -w + 4*f. Solve t*o - w = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m + 3. Let b(l) = -l. Let v(y) = -b(y) - k(y). What is the units digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -44. Let g = -75 - -195. Let u = g - n. Round u to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27249 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 388 * -26880.\nAnswer: -10429440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 6595*a + 280539. Calculate z(42).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-64410)*6\/(-4). Let p = r + -23585\/34352. Calculate the common denominator of 29\/12 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 6. Let h(y) = -19*y - 30*y - 11 + 69*y - 18*y. What is 6*h(n) + 11*p(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 b when four letters picked without replacement from {t: 2, b: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 1427*z - 32. Let b(t) = -t + 4. Let c(p) = 8*b(p) + x(p). Let f(h) = 5*h**2. Give c(f(o)).\nAnswer: -50*o**4 - 7175*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -221, -325, -421, -509?\n\"Answer: 4*v**2 - 124*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:53 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 3*t**2 + 5*t - 12. Let m be p(5). Let n = m - -58. Solve 3*x + 7 = -5*j + n, -5*j - 10 = -5*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 2*y - 6*y + 4 + 0*y**2 + y**2. Let m be d(6). Calculate the least common multiple of 7 and 4*((-18)\/m)\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, i: 4, x: 4, b: 6}. Give prob of picking 2 b and 2 i.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 612 + 13. Calculate the highest common factor of 675 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*d - 11 = 0, -o + 5*d = -0*o - 14. Let w be ((-85246 - o) + -5)*-40. Round w to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 8. Let m(r) = r + 1. Let d(s) = 2*m(s) - q(s). Let n be d(7). Calculate the greatest common factor of n and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3694513 and 955.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from dcwc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296321 - 45499 = -30*w. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11 - 23*u - 51*u - 8 - 990*u**2 + 3836*u**2 wrt u.\nAnswer: 5692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**3\/5 + 12*c**2\/5 + 72*c\/5 = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -4. Let t be 7 - (-1)\/((-3)\/x). Suppose -4*d = -2*d - 8. Solve -d*l - 10 = -t*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404776.5 weeks in seconds?\nAnswer: 244808827200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 + 6 - 19 - 3*u**2. Suppose 2*v - 60*t - 19 = -59*t, 41 = 4*v + t. Is y(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t = -3*j - 62, -5*t - 37 = 2*j. What is the units digit of (-186)\/j + 2\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0625 less than or equal to 0.009978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-1)*(54 + -1083). Let h = g + -8575. Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.31 - -0.71. Let s = -1.09 + 1.12. What is the third biggest value in s, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1598 - -739. Let i = -608 - a. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (27\/(-4))\/((-2421)\/5632860)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22792073669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 385 or -2718?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 15) to base 16\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b - 6*b)*(-2*b + 37*b + 39*b).\nAnswer: -444*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31456773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/21 - -55\/168. What is the closest to m in -3, -99, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 92.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 3. Let j(w) = -5*w + 8. Let x(l) = 3*j(l) + 8*q(l). Let r(h) = 3*h. What is x(r(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(900\/24) + (-5)\/(-3)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g + 22. Give k(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-21))**(2\/9)\/(l**18)**(-35) assuming l is positive.\nAnswer: l**(1876\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13051543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -144 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 21 - (14 - (8 + 5 - 7 - -6))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33144857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*k**3 + 27*k**3 + 75 - 81*k**3 + 155*k + 85*k**2 + 27*k**3.\nAnswer: 5*(k + 1)**2*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4209*o - 5*b + 20 = 4210*o, 0 = 16*o + 5*b + 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -1, -5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. What is the first derivative of t - 2 - 2 - q**3 + 0*q**3 wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 60341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 513584 and 0.00762?\nAnswer: 513583.99238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((3 - (5 - 2)) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.74\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n - 95 + 169 - n - 74. Let l(c) = 2*c + 9. Determine l(y(w)).\nAnswer: 40*w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 25*y - 10. Suppose 19*p - 17*p = 26. Let b be g(p). Solve b*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:35 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 271 + 2165 = 3*k, 3*k + 5*y = 1934. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 0, -5*f - 5*d = -d - 24432. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*m**4 - 8 + 1 + 3*m**4 wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*p**3 - 8 - 13*p**3 + 1 wrt p?\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10434331, -20868673, -31303015, -41737357, -52171699?\n\"Answer: -10434342*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41599000 - 0.58346.\nAnswer: -41599000.58346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -383 + 714. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2)\/(78930\/78935 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 7:18 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/39, 2\/5, -1\/5, 0.03 in descending order.\nAnswer: 2\/5, 0.03, 1\/39, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/11 and -95\/29368?\nAnswer: 323048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let g(a) = a**2 + 2*a - 2. Let o(i) = g(i) + 2*v(i). What is the remainder when 13 is divided by o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6802 - 6143 - 6137 - 19*i + 19082.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 3*g**2 - g - 7. What is the units digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 1\/30*t**5 + 0*t**4 + 0*t**3 + t**2 + 0*t + 0. Let n(z) = 3*z. What is n(m(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -0.028.\nAnswer: 2.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqjqqqjjvjvjjkq. Give prob of sequence qjjk.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673085 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225990 and 14330682?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24700 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -200*p*y - 2*y - 14 wrt p?\nAnswer: -200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 45 - 147 = 0. Let r be 6\/(-2)*(-10)\/(-6). Let g(w) = -7*w - 4. Calculate the remainder when g(r) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.000957 or -930?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34425617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*y = -1503 + 4695 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3200 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(272)*1 + sqrt(272) - (-3*(1 + sqrt(272) + sqrt(272)))**2) + 4 + (-5*(sqrt(272) + 2)**2 - sqrt(272)) + 5 + sqrt(272)*1)*-2.\nAnswer: 432*sqrt(17) + 22338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 smaller than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 + 29*a + 38. Let q(w) = 7*w**2 - 19*w - 25. Let o(f) = -5*i(f) - 8*q(f). Let h be o(8). Factor 0 - p - 15*p - 8*p**h + 32 + 4*p**3.\nAnswer: 4*(p - 2)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -p + 29 - 44, -774 = 3*t + 92*p + 64*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22011 (base 8) to base 9.\nAnswer: -13580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510940798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27477 and 730011?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**3 - 8278*l + 2791*l + 2744*l + 2743*l.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 7, -6.19, -0.912?\nAnswer: -0.912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 - 353 - (-3 + (0 - -2) + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 6276 = b. Is b a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Suppose -7*j + 6*j = 0. Let v(x) = -3*x + j*x + 3*x - x**2. Give s(v(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-20))\/4)\/((444\/83028)\/((-20)\/(-22))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 119725*p + 1197234. What is r(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104807?\nAnswer: 311, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154 + 154.3. Let y = 14 + -10. Which is the nearest to 0? (a) -1 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 5*i - 2*i + 6*i**3 - i**3.\nAnswer: 5*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8111196 seconds in nanoseconds?\nAnswer: 811119600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqtcsccscqqm. Give prob of sequence qs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-4))\/((3\/(-12))\/(10\/20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*h - 106 + 138, -8*f - 8 = 3*h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 5. Let t be k(4). Let r be 1*(-6)\/(-24)*9\/(-9). Let u = -0.4 + 0.3. Which is the nearest to u? (a) r (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2521*l**3 - 2520*l**3 - 13 + 21 + 216*l in the form w*l + d*l**2 + b + z*l**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(2)*-2)\/(sqrt(192)*2 - sqrt(192))*-2)**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070.14576 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -951256 (base 10) in base 5?\nAnswer: -220420011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 5*f + 42, 0 = f - 4*a + 16. Let i be 8\/(f\/2) - -33. Suppose 3*r = -13 + i. Solve -2*u + 0 = r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 127 = -9*t + 4*t, -144*t + 9 = -145*t + 8*v for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + a = -154, -4*x + 3*x - 2*a = -22. Let f = 23 - 8. What is the greatest common divisor of x and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31237*z**2 - 2010*z - 199213519.\nAnswer: -62474*z - 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*v - 399 = -0*v, 2*k + 3*v - 794 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12) - sqrt(12) - (1 + sqrt(48) - sqrt(3))**2) + 1 + (1*sqrt(363) + sqrt(363))**2.\nAnswer: -12*sqrt(3) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 100. Let g = -2.1 + 2. Let b = g - 0.1. What is the smallest value in b, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:10 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 + (-30)\/7)*14\/(-4) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032.026 millilitres in litres?\nAnswer: 4.032026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1474)\/(-1040) + (-12)\/(-30). Let n = 1\/929 - -20425\/12077. Let w = n - j. Calculate the common denominator of w and -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3515383?\nAnswer: 3515383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -762*z - 35775. Calculate t(-47).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6336\/320*(-50)\/(-45)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 10 - 81. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22636124 * 5\nAnswer: 113180620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -536825.394.\nAnswer: -536823.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 45774*f - 523814769.\nAnswer: -(f - 22887)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 4864.\nAnswer: 43776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - y)*(4*y**3 + 2*y**3 - 2*y**3).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 - 936 + 936.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -157. Let s = -135749\/12 + 11325. Calculate the common denominator of s and 50\/(-8)*8\/d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4072080224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/((-54)\/(-12))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) + 99\/198?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -3\/20*q**5 + 0*q**2 - 1\/6*q**4 + 0 - 3*q - 1\/6*q**3. Let t(w) = 7*w**3 + 4*w**2 + 2*w. Determine -9*b(o) - 4*t(o).\nAnswer: -o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -28*u**5\/5 - 27*u**2\/2 + 43. Find the second derivative of n(i) wrt i.\nAnswer: -336*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 5. Let y = -3 - 6. What is the lowest common multiple of l(y) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6904790 or -6904760?\nAnswer: -6904790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 337487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j. Let v be y(4). Let m = v + 18. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484159 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*p + 19 - 19 + (p + p + 0*p)*((2 - 2 - 2)*(1 + 1 + 0) + 3 + 2 - 4).\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54\/5 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -3. What is the units digit of 2\/((-6)\/c) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -662 + 665. Let w(g) = 23*g**3 - 3*g**2 + 10*g - 5. What is the hundreds digit of w(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 - 503*h + 85. Let m be b(-72). Calculate the greatest common factor of m and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16960457.\nAnswer: 971, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2890791 - -962.\nAnswer: -2889829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 5*u + 1. Let o be p(-4). Which is the second biggest value? (a) -1 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*5\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37015 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t - 48 = -2*m + 28*t, 2*m + 2*t - 46 = 0. Let l(n) = n - 18. Let p be l(16). Let h = 16 - p. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4709*s**6 + 3799*s**2 wrt s?\nAnswer: -565080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45770 minus 0.4?\nAnswer: 45769.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (68\/6)\/((-28)\/(-54)). Let x = -22 + o. Suppose -5*q - 4 = -24. Which is the biggest value? (a) x (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r - 5*x - 7, 5*r = 3*x + 16. Suppose r*p + 1 = -5*d, 5*p + 2*d - 11 = 18. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91\/15 + -32\/5. Let w = -79 + 84. Which is the closest to s? (a) -2 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -150, -225?\n\"Answer: -75*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 209 + 0*z - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5354479 + -232479. Round h to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -8. Let g be (t\/(-3))\/(1\/2). Is -0.3 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/5 of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41617692 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10*p + 1. Calculate the least common multiple of v(0) and 2\/6 - (-34)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51771523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 803 = 4560. Factor 38*j - 270*j**2 - 56 + 28*j**5 + o*j + 161*j - 538*j**2 - 288*j**4 + 752*j**3.\nAnswer: 4*(j - 7)*(j - 1)**3*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231400 to the power of 1\/2, to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1547 - 1380. What is the remainder when 255 is divided by a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40286000 to the nearest one hundred thousand.\nAnswer: 40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 35*j - 4 = 0. Suppose r = -2*t - 24 - 14, 4*t = -j*r - 68. What is the tens digit of 24\/(-4)*-6*t\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 - u**2 + 3*u**2 + 4*u**2 - 3*u**2 - 2*u**2 + (2*u + 2*u - 3*u)*(-u - u + u) + 11*u**2 + 14*u - 14*u)*(5*u - 4*u**3 + 5*u**3 - 3*u).\nAnswer: 6*u**5 + 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Suppose 5*i = h*c - 32, 0 = -0*c + 2*c + 2*i. Let m(t) = 30*t - 1. Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 95, 98, 101, 104?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*b = 32. Let z(g) = -g + 12. Let o be z(b). Find x, given that -11 + 3 + 8*x - o*x + 4*x**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -169. Let n be -4 - y\/15 - 7. Let c = 8 - 5. What is the second biggest value in 2, c, 0.5, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/35, -223, 5?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(68)\/(sqrt(4) + sqrt(4)*2 + sqrt(4)) + -3 + -1 + (sqrt(612) - (sqrt(612) + 0)**2) + ((2*sqrt(102))\/sqrt(6) - sqrt(17)))*-1.\nAnswer: -29*sqrt(17)\/4 + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 23, -4 in descending order.\nAnswer: 23, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 88\/(-4)*-1. Let i = 26 + p. Solve 3*j + i = -2*u - 2*j, 2*j = -5*u + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1108, 8305, 27706, 65413, 127528, 220153, 349390?\nAnswer: 521341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3, 5, -1629, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -46*g. Let n(u) be the second derivative of u**4\/6 - 8*u**3\/3 + 109*u - 3. Calculate n(r(x)).\nAnswer: 4232*x**2 + 736*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -4, 551, 277 in descending order.\nAnswer: 551, 277, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -859 divided by -2?\nAnswer: 859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = 2*i, -4*o = -2*i + 8 - 2. Calculate the remainder when (-3)\/9 + 354\/9 - o is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -33e?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2156378, -2156371, -2156364, -2156357?\n\"Answer: 7*i - 2156385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*l**3*u**3 + 4*l**3 - 5895*l**2*u**3 - 2*l*u**3 - 34*l*u**2 + 8526*u**2 wrt u?\nAnswer: 318*l**3 - 35370*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 34, 55, 78, 103?\n\"Answer: c**2 + 16*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, v: 11}. What is prob of picking 2 q and 2 v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(-2 + 2 - 5)*(5 + 1 + 4)*(-2*p + 3 + 0*p + 3*p) to the form s*p + q and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - x**2 - 6*x + 5. Let h be y(2). Suppose 0*q - 3*q = 12. Let n be (q\/3)\/((-21)\/9). Which is the closest to -1? (a) -1 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9131.5 - 9131.6. Let o = 76 - 682\/9. Let t = -1.3 + 0.3. Sort a, t, -4, o in decreasing order.\nAnswer: o, a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -105 (c) 2\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -290*k**2 - 2566*k + 418. Give c(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4308\/29207 or -1?\nAnswer: 4308\/29207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/15 (b) -33 (c) 1 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87036228 divided by 6.\nAnswer: 14506038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*q + 55*q - 21*q)*(-2 + 1 + 2) as b*q + d and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 138, 162, 206, 276?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8844 = 1956. Suppose d = 4*d - y. Let h = -461 + d. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*q = -2684 + 497, -3*q = -2*h + 4419. Suppose -3*w = -3*n + h, 3*n = 5*w + 933 + 1277. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30587?\nAnswer: 73, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -31. Let d be 7 - 7 - i\/2. Let h be (-2 - -4)*(-18)\/d. What is the greatest common divisor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3*b = -89 + 82, 2*b = -23*a - 56 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 6. Let p be z(-4). Let f be p\/(-10) - 62\/(-155). Let m(q) be the second derivative of q**4\/12 - q**3\/2 - 2*q**2 - q. Determine m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1 - -1) + 35. Let y(z) = 3*z**3 + 46*z**2 - 35*z - 13. Let a be y(-16). Calculate the highest common divisor of a and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002303389 rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -653, 17.1, 0, -0.1 in decreasing order.\nAnswer: 17.1, 0, -0.1, -653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126521988 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = -2*l - 25, 10 = 2*a - 2*l. Suppose -2*s - 52 = 2*d + 2*d, -4*d + 186 = -a*s. Let v = s + 59. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-168)*(8 + 2). Let o(g) be the second derivative of 0*g**2 - 19*g + w*g**3 + 0 + 1\/3*g**4. Find the second derivative of o(z) wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -7. Let o = -8 + j. Put o, -1, 0.1 in increasing order.\nAnswer: o, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4088467?\nAnswer: 4088467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 784 * 2.89.\nAnswer: 2265.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k\/k**(-2\/21)))**(28\/5) assuming k is positive.\nAnswer: k**(328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 89 (b) 3 (c) -9 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 86*w**2 - 6*w + 14. Let y(s) = s**2 - s. Let j(p) = i(p) - 8*y(p). Find the second derivative of j(v) wrt v.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-4 + -1)\/5. Sort -71, w, -1 in descending order.\nAnswer: w, -1, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*c*x**4 + 44*c + 7*x**5 - 3*x - 2 wrt x.\nAnswer: -420*c*x**2 + 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1940, 3880, 5820?\nAnswer: 7760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -240 (c) 7 (d) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-4)\/(20\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.073, -6, -15\/19, 3\/4 in ascending order.\nAnswer: -6, -15\/19, 0.073, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -40*w - 151. Let x be h(-4). Let i(r) = 3*r - 30. What is i(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 7. Let j be k(-12). Suppose h = j*h - 156. Differentiate 39*p + 3 - 9*p**2 - h*p - 1 with respect to p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, v: 15}. What is prob of picking 2 v and 2 m?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3\/18 - 1027*a**2\/6 + 1054729*a\/6 - 2028. Factor v(l).\nAnswer: (l - 1027)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 + d + 1. Let g(t) = t**3 + t - 1. Let m = 9 + -8. Let r be g(m). Suppose 5*q + 6 = r. What is o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.055 + 23.055. Let y = -19 + t. Let r = -9 + y. What is the smallest value in 1, 0.11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 11*y - 3780. Let c = y - 333. What is the greatest common divisor of c and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209 - -212. Sort g, -5, 2, 5.\nAnswer: -5, 2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -7*v + 28. Suppose v*o = 8*o + 20. Suppose -36 = -o*g + 4. What is the highest common factor of 72 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + -266?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 10*i - 8*i - 10, 5*u - 5 = -4*i. Solve 11 = 3*w - u*k, -w + 8*k - 12*k - 19 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + -2 + sqrt(17))*3 + ((sqrt(1377) + sqrt(1377) + -3)**2 - (sqrt(2057) + sqrt(2057)*-1)) + -2.\nAnswer: -105*sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*n - 18 + 6, -10 = 2*n. Let q(i) = 2*i + 1. Give q(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g + 62*g = -35. Sort 0, -3, g, 14 in ascending order.\nAnswer: -3, 0, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -72.5. Let h be (6\/(-4))\/(30\/8). Which is the nearest to h? (a) i (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25145532.9 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 - 2115418?\nAnswer: -211545a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7494 - -7490. Which is the nearest to 2? (a) -1 (b) -27 (c) 0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-10)\/(-240)). Let l(k) be the second derivative of -30*k**3 - 7*k**2\/2 - 450*k. Is l(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -374.2 + 374. Which is smaller: 47 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 + 528. Is w a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**3 + 4430*y**2 + 29*y**3 - 4430*y**2.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18*k**2 + 3*k + 3. Let y be h(-2). Suppose 0 = 2*o + 8*m - 13*m - 318, o + 4*m - 224 = 0. What is the highest common divisor of y and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96634, 386289, 868982, 1544659, 2413266, 3474749?\nAnswer: 4729054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2903\/4 - 726. Which is the biggest value? (a) x (b) 2 (c) 181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 11\nAnswer: -25\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 154610, 154609, 154608, 154607, 154606, 154605?\n\"Answer: -u + 154611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*z - 4 = -2*a, -2*z + 32 = -2*a. Calculate the common denominator of -43\/20 and ((-30)\/a)\/(8\/10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11052204 and 688?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 496 or 492?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53920486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 10 = -b. Let c(i) = -b + 2 - 4*i**2 + 2*i**2. Let z(q) = -12*q - 7*q**2 + 12*q. Calculate z(c(y)).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*k**4*p**2 + 9*k**3*p**2 - 3*k**2*p**2 + 6*k**2 + 2*p wrt k.\nAnswer: -360*k*p**2 + 54*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3659 + 5168. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**3\/3 - 19*l**2\/2 - 10*l - 38. Let v be z(22). Calculate the highest common divisor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 525*w**3 - 126*w**2 - 126*w - 126. Let l(r) = -21*r**3 + 5*r**2 + 3055 - 9157 + 3056 + 5*r + 3051. Determine 5*i(n) + 126*l(n).\nAnswer: -21*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**7\/1260 - a**6\/270 + a**5\/180 + 5*a**3\/3 + 3. Let n(w) be the third derivative of l(w). Find u, given that n(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2964413720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 9. Let x be h(7). Suppose x*k + 231 - 1501 = 0. Suppose v - 3*v = -k. Is v 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 wwwwbubwwwqwwwwwwwu. What is prob of sequence bww?\nAnswer: 182\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 337*j**2\/4 - 7140*j - 7056.\nAnswer: -(j + 1)*(j + 168)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - -39) + -5 + 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1114 divided by 78231.\nAnswer: 1114\/78231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1195 divided by 2.\nAnswer: -1195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*f + 244 = -0*f, -4*g + 2*f = -244. Let z = 88 - g. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 - 0.5?\nAnswer: 1528.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4505 - 3701. Is 46 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22\/155 + 1223\/5580. What is the common denominator of -67\/2 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063868516 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 16. Let a(s) = s - g*s - 3*s. Let m(x) = -2*x. What is m(a(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*v - 16 = 0, 38 = 5*g + 2*v - v. Suppose g*q = 5 + 35. Solve -l - q*h - 6 - 15 = 0, h + 25 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 27*a + 37. Let q(g) = -8*g - 1. Give -n(y) - 3*q(y).\nAnswer: -3*y - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -21. Suppose 0 = o + 4*o - w. Suppose s + o*d - 4 = 2*s, d + 8 = 5*s. Calculate the least common multiple of s and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127524881 * -0.3\nAnswer: 38257464.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1430038.25 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -103\/19 - -11447\/2052. Find the common denominator of -85\/32 and z.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*z = 478*z - 1512. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/8420?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4*j**2 + 3833*h**3*j**2 - 339*j**2 - 5 with respect to h.\nAnswer: 8*h**3*j**2 + 11499*h**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 424.6 * -1.77\nAnswer: -751.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107906 - 107906.02. Let w(y) = -y**2 - 3. Let m be w(0). Which is the smallest value? (a) 2 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135512 is divided by 8513.\nAnswer: 7817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 24, 87, 216, 435, 768, 1239?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 + 3. Suppose -q - x - x = -14, 4*q = 3*x + 1. Suppose -8 = q*r, 2*w + r - 32 = -4. What is the greatest common divisor of w and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2590 (base 13) to base 9.\nAnswer: 7311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -16. Sort b, -0.03, 2\/5 in increasing order.\nAnswer: -0.03, b, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or -32?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59477 is divided by 901?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154952 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 45*m + 261. Let y be n(-6). Let f be (-12)\/(-2)*(-5)\/(-3). Solve -5*l - 4*o = -y + 2, -5*o + f = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-8)\/6))\/((-18)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655549.\nAnswer: 7, 236507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - ((-2)\/1)\/2. Suppose -35 - 1 = -y*j. Suppose 3*d + j + 6 = q, -5*q + 108 = -3*d. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 31. Let a(t) = -t**2 + 7*t + 13. Let c be a(7). Let i be w(c). Suppose 4*n - 20 = -i. Solve 0 = 2*s + n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21*m**3 + m**2 + 6*m + 5. Let a be d(-1). Let b = a - -58. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*c = 157, 2*g + 2*c - 160 = 130. What is the remainder when g is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-7)*6*4*(-5)\/105?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 10*b**2 + b + 4. Give g(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((950\/57)\/50)\/1)\/(2\/((-12)\/158)).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -428.4 - -428. Which is the nearest to 2\/3? (a) m (b) 3 (c) 1\/166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7cd - 143?\nAnswer: 68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4222 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 + 510. Factor 129*x**3 - v*x**3 - 540 - 75*x**2 + 360*x + 120*x**3.\nAnswer: 5*(x - 6)**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.0194 nanograms in kilograms?\nAnswer: 0.0000000000460194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 5*f. Let t(d) be the first derivative of 6*d - 115. Let y(g) = g + 16. Let h(o) = -8*t(o) + 3*y(o). Give w(h(m)).\nAnswer: -9*m**2 - 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u - 4. Let l be 8\/52 - (-228)\/39. Let g be (4\/l)\/((-10)\/75). Let z(o) = 2*o + 2. Determine g*z(h) - 2*f(h).\nAnswer: -2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2507 + 10?\nAnswer: -2477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 28178.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.4 - -13. Put w, -2, 1\/3 in descending order.\nAnswer: 1\/3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*t**3 - 1398*t**2 + 36871*t?\nAnswer: -66*t - 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.835 + 0.9. Let g = 2369 - 2369.935. Let l = c - g. Does -0.03 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9532581563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 82\/(-4) + (-2)\/(-4). Suppose -f = 3, 31 = -3*b - 4*f + 1. Let o be 2\/b - 3*(-5)\/(-45). What is the smallest value in p, -0.1, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*c - 11, 1 = c + 5*x - 10. Let m = c - -8. Let o be 2\/(-4) - 34799998\/m. Round o to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 15*j**2 + 37*j - 2138. Calculate f(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/738*315 + -23.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1836 and 4896.\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 20. Let d(i) = i**2 - 5*i - 2. Give d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 26246403.\nAnswer: 524928060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 3:46 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 14*f**2 + 13*f + 4. Let t be v(-13). Suppose -230 = -t*k + 5*j, 8 = -4*j - 0*j. What is the greatest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + 1 + 4.\nAnswer: 5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -61.57.\nAnswer: -369.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 126 + 12 + -128\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cacw when four letters picked without replacement from jclljawc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2. Let w be (-14)\/21 - (-16)\/6. Let k(t) = 2*t**2 + 3*t**w - t**2 - 2*t**2. Give a(k(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 278, 270, 270, 284, 318, 378?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 0*l - 102. Let f = -24 + l. Solve 3*a = -5*g + 4*g - 11, -f = 2*a - 2*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 w, and 1 h when four letters picked without replacement from {o: 5, h: 1, w: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28678078073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 1128?\nAnswer: 21432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -890 + 889.6. Let i = 0.1 + 0.8. Let w = 0.8 - i. Sort 2\/21, w, d.\nAnswer: d, w, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*y = -9 - 4, 0 = 4*k - 4*y - 16. Let n be k - 2 - (-3)\/1. Sort n, 0.3, 1\/4 in ascending order.\nAnswer: 1\/4, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (35 + -18 - 19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7499926 to the power of 1\/2, to the nearest integer?\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163992.\nAnswer: 2, 3, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let j(y) = y**3 - 7*y**2 - y + 10. Let z = 2 - -5. Let t be j(z). Solve c*s = -t + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, 188, 721, 1456, 2387?\nAnswer: 3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - -3298?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1168 + -1163. Let t be (0 - 0) + 2\/2. What is the greatest common divisor of y and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1229\/63892 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + t + 2. Let z(a) = 4*a**3 - 3. Suppose -24*q - 162 = -6*q. Let v be ((-6)\/(-4))\/(q\/(-18)). Determine v*r(k) + 2*z(k).\nAnswer: -k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 2:15 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-27)*((-1236)\/180 + 7). Let t(x) be the second derivative of -1\/9*x**2 + 1\/18*x**4 - 9*x + 0 - r*x**3. Suppose t(j) = 0. What is j?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13156, 52631, 118424, 210535, 328964?\nAnswer: 473711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -520000*n**3 - n**2 + 1. Let z be c(1). Round z to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l + 5. What is c(-24)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {s: 4, a: 4, p: 6, z: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = 26. Let c(m) be the third derivative of -m**6\/120 - 11*m**5\/60 + 9*m**4\/8 + 13*m**3\/6 + 37*m**2 + 6. Let d be c(l). Solve d = q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*2 - (-2 + sqrt(396)).\nAnswer: -4*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -152*p**3 - 121*p**2 - 6*p + 6. Let z(x) = -151*x**3 - 119*x**2 - 5*x + 5. Let h(g) = 5*b(g) - 6*z(g). What is the third derivative of h(o) wrt o?\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*21\/(-14).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66) + (sqrt(66) - (-6*-3*sqrt(66) + sqrt(66))) + sqrt(66))\/(sqrt(54)*2)*1.\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3325 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -2\/1386064013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:07 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13108*w - 12845*w - 1578 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 9*v + 3. Let p(w) = -w + 1. Let z(n) = a(n) + 2*p(n). Let x be z(-7). Suppose -2*d = -d - x. Solve -3*c + 4 = -d*u, -3*c - 12 = 3*u - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/2271428 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5422421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*y - 6, -5 = -4*b - 3*y + 3. Let f(p) = p**2 + 4*p**3 + b*p**3 + 5*p - 7*p**3 - 6*p. Let h be (-1)\/(-4) - 30\/(-40). Give f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -486*v - 3399. What is w(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7241, 7228, 7215, 7202?\n\"Answer: -13*d + 7254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 8, d: 3, z: 6}. What is prob of picking 1 z and 1 a?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 14 = -98. Calculate the remainder when 125 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245968730 divided by 10.\nAnswer: 24596873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-39))**(1\/2)*(a*a**2)**30\/(a*a*a**4*a*a*a*(a*a**4)\/a) assuming a is positive.\nAnswer: a**(193\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 1999066521.\nAnswer: 1999066521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence meem when four letters picked without replacement from {e: 6, m: 2, h: 10}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3*l*s - 482135*h**3*l - 51*h**3*s + 3*h**3 + 5*h**2*s - 11*h*l + 2*h*s + 1844*h - 2*s wrt l.\nAnswer: -2*h**3*s - 482135*h**3 - 11*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63716215582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 2. Let y be g\/(-5) - 27\/(-5). Let f = 44 + -29. Solve 3*q = -2*p - f, 2*q + 4*p - y*p = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10980527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*q**2 + 426*q**2 - 281*q**2.\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-30\/13)\/d*d*d**35)**(2\/9) assuming d is positive.\nAnswer: d**(850\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1002011?\nAnswer: -1002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 10*g - 71. Let i be s(-9). Solve 0 = 21*k + i - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 7)\/(4\/(-2)). Let z be (-1702)\/968 - (-1)\/r. Let n = z - -1\/121. Which is the second biggest value? (a) n (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7 - 30 = -4*u, 2*u + v = 1. Suppose -u*f + 4 = -f. Suppose 5*t = 2*a + 350, -3*t - a + 210 = -f*a. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18462.0217 rounded to the nearest 10?\nAnswer: 18460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (0 + -2 - (6 + -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389753?\nAnswer: 7, 13, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 7*q - 10*q = 12*q - 95 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4248318 is divided by 1061448?\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q**4 - q - 4*q**4 + 2*q**2 + 2*q**4 - 3*q**2 as v*q**2 + t*q**4 + m*q**3 + l*q + c and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208443 or 208425?\nAnswer: 208443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -34, 5\/23, 0.048, -2\/3, -10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 8201\/3837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 647.73, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*1*-2 - (sqrt(209)*2*-2 - sqrt(209) - sqrt(209)))\/(3*((-1*sqrt(11) - sqrt(11)) + sqrt(11))*1).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/126)\/(-2*2\/36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) -11 (b) 0.7 (c) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = -15*h + 120 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 - 3*v + 3. Let t = -2 + -1. Let w be j(t). Solve -c - w*c = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 2*o**2 + 4*o + 1. Let y be s(3). Let d = 103 + y. Calculate the remainder when d is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1.62 (c) 204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6*d = -m - 23, -4*d - m - 107 = 0. Let c be -43*(2 - (-2 + 5)). Let l = d + c. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -107 + 92 + (3 - 14) + -28?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*f. Let u(n) = 7*n**2 + 5*n - 13*n**f + 22*n**2 + 4. Calculate the remainder when 44 is divided by u(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = 2*v, v + 7 = 3*i - 14. Let g(s) = s**2 - 14*s + 45. Let a be g(i). Sort 1, -4, a, 9 in descending order.\nAnswer: 9, 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6535646727 to the power of 1\/3, to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -16\/9341, -1\/5?\nAnswer: -16\/9341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62094638 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 5, -1.\nAnswer: -1, -0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3424 a factor of 1472395328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let h(g) = -3172*g - 5 + 2198*g + 22 - 17. Give p(h(d)).\nAnswer: 974*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 335*u - 333*u + 26*u**4 - 4*u**3 + 6*u**3 - 2 in the form v*u**4 + b*u**3 + c*u**2 + h*u + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/7 + 20*i\/7 + 48\/7 = 0 for i.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -69, -112, -157?\n\"Answer: -m**2 - 38*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 354 (b) 30 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68275, -68736, -69187, -69628, -70059?\n\"Answer: 5*c**2 - 476*c - 67804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 - 5*l**2 + 197*l**2.\nAnswer: 179*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 23. Let t(d) = -5*d - 34. What is -5*t(v) - 8*w(v)?\nAnswer: v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h - 10 = 0. Suppose 0 = 3*x - 1210 - 50. Suppose -x = -4*a + u - 142, -3*a + 204 = -3*u. Calculate the highest common divisor of h and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49175325 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 168689bc?\nAnswer: 168689bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.1. Let n = -0.1 - b. Let l = 3 - 1. Is n smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2\/4 + 79920255*t\/2 + 1277449431853005\/4.\nAnswer: 5*(t + 15984051)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/(-52)*(9\/(-54)*4)\/((-18)\/(-351)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 10) in base 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-94)\/36*-3 - 240\/30. Which is the closest to 2? (a) 0.1 (b) j (c) 25 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = 15. Let j = 15 + u. Let f = -24 + 35. Calculate the lowest common multiple of f and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)*k)\/(k**20\/k))\/(k**(-33)\/k*k*k**(-15)\/k) assuming k is positive.\nAnswer: k**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = -5*q + 40, -2*d = -q + 11. Suppose -q = -0*r - 9*r. Put -4, -0.6, r in descending order.\nAnswer: r, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(-5)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + h**2. Let x(k) be the second derivative of -k**5\/20 + k**4\/12 + 16*k. Give -4*p(b) + 4*x(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d - 41. Let k(n) = -n - 14. Let i(f) = 7*k(f) - 2*q(f). Give i(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 3698153976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpppqppppppp. What is prob of picking 2 q?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {s: 4, z: 1, i: 8, j: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 242.9*-164.9\nAnswer: -40054.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.462 + 0.062. Which is the closest to 2? (a) 1\/3 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538288 = 16769*o - 664022 + 196170 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8285759642 + -130542143459786\/15755. Let j = k - -438\/23. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 37*r - 45. Let h be i(-25). Suppose 5*z - 1326 = -3*t, 3*z - 2*z - h = -4*t. List the prime factors of z.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 53*h + 24. Is v(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 12. Is (22\/8)\/(a\/84) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-10)*10\/(-8))\/(-2)*22\/(-42).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.695*1.\nAnswer: 8.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + -3 + 1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:37 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 27*j + 293. Let f be o(-10). Differentiate 48 - 103*x + 215 - 69*x - f*x wrt x.\nAnswer: -195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/752 and 59\/10.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 6920 = 12700. List the prime factors of w.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - -2 - (-4)\/1. Solve -4*m - 4*h = -0*m - 16, -3*m - h + b = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301 + -147. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**5 - 80*i**4 - 205*i**3 - 130*i**2 = 0.\nAnswer: -13, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180\/7 < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36 and -32917.6931?\nAnswer: 32953.6931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12.9, -2\/5, -0.28?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(0 - 9*w + 0 + (0 + 2 - 1)*(-w - w + 3*w) + 2*w - 5*w + 4*w - 2*w - 4*w + 2*w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235146*b**5*g + b**3*g**3*p + b**2*g**3*p + 4653*b**2*g**2 + 2*b*g**2*p - 14*g**3 wrt b?\nAnswer: -14108760*b**2*g + 6*g**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -279*l**2 - 303*l - 24 = 0.\nAnswer: -1, -8\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r - 2. What is the tens digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -50, 8, 6, -0.3, 2\/365 in decreasing order.\nAnswer: 8, 6, 2, 2\/365, -0.3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5066*t + 1043*t + 52493 + 50772 = 30851 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:45 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -157. Let v = -41 + u. Suppose -v*a = -119 + 21. Solve 1 + a = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(-8\/5))**(-34)\/(((r\/(r\/(r\/r**(-2)))*r)\/r)\/(r\/r**(-1\/4))*r*r**(2\/9)*r\/(r\/r**(-3\/5))) assuming r is positive.\nAnswer: r**(-3691\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0 + (4 - (0 + 2)). Suppose -2*q - 1 = 2*s + 5, s - w = q. Let v(y) = -4*y**2 + 2*y**3 - y**3 - 2*y + 8*y**2. Calculate v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 14*k - 2*k**3 - 3*k.\nAnswer: -2*k**3 - 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/227825 + -187773363\/227825. Let a = s - -825. Factor -4\/5 + a*t**2 + 0*t.\nAnswer: 4*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:09 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 10 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 195383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 2 = -15*z. Let j(f) = -40*f**3 + 0*f + 34*f**3 + 8*f - 5 - 5*f**z - 3*f. Let s(g) = g**3 + g**2 - g + 1. Determine -3*j(v) - 15*s(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23957\/380 - -28\/95. Let j = z + 63. Let w = -30 + 28. Is w > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 158544097*o**4 - 118780814 wrt o.\nAnswer: 634176388*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/100)\/((-8)\/(-60))*(-4)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 24*o + 8. Calculate l(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 53. Let z = q - 61\/2. Which is the third smallest value? (a) -1 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 14*y**2 + 44*y - 192. Let a be c(16). Let g = 5 - 3. Suppose 2*i - 11 = -1. Solve -z = -i*o + 5, a*z - g*z - 3 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*80\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 - 13*q**3 - 24 + 8 + 16.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 117290189*f. Let c(u) = 3*u. Determine c(k(y)).\nAnswer: 351870567*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1314 - -14403?\nAnswer: 15717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -119 - -a6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:57 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/66 and -131\/470982.\nAnswer: 5180802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2765 = 23*s - 4779. What is the remainder when s is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1632)\/(-12 - -6) + 6 is divided by 134.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(33)\/(-1*(sqrt(176) + sqrt(11) + sqrt(11)) + sqrt(11)) + -1)**2 - (0 + ((2 + sqrt(972))*5)**2).\nAnswer: -609916\/25 - 8994*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + a = 30, 27*r - 34 = 23*r - 3*a for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 134*d**2 + 16*d - 573. Calculate the remainder when p(67) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 1. Let r be v(3). Let h(d) = -d - 4. Let q be h(r). Suppose -4*x + 2*j = -j - 19, q*x = -4*j + 12. Solve 0 = -x*f - 0 + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*y + 148 = -25*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 738*u + 2145. Is 8 a factor of d(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i + 36. Let z = i + 34. Is 6 a factor of ((-27)\/4)\/((-6)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513300 divided by -128325\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 0, -26, -52?\n\"Answer: -26*g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 40. Let b(v) = 3*v - 38. Let o(i) = 3*b(i) + 4*r(i). What is the remainder when o(-5) is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 74.2. Let i = 1 - -3. Which is the second biggest value? (a) w (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 945 and 280.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 3 - (-10 + 1). What is the units digit of 174\/m + (-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -26. What is the greatest common divisor of d and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 24840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2469, -4941, -7413?\n\"Answer: -2472*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 231425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057 is divided by 111.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {m: 11, c: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000439 rounded to seven decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9*w + 1169188 = -12*w, b - 4*w = -584616. What is b rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*z - 8, -35*i = -31*i + 3*z + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x - 6. Let d be u(5). Suppose 3*o - d = 134. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 515 (c) -2\/3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6615 = 4*r + 23*r. Round r to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11\/7 of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1781, 0.0936, 2 in decreasing order.\nAnswer: 2, 0.0936, -1781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 427 + -2993\/7. Which is the closest to 0? (a) 2\/13 (b) -1 (c) 5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2925, -5850, -8775, -11700, -14625, -17550?\n\"Answer: -2925*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -125*w**3 + 500*w**3 - 122*w**3 - 12*w**2 - 163 - 126*w**3 - 126*w**3. Determine l(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 8*o**2 + 7*o - 6. Let s(f) = -f**3 - 5*f**2 - 4*f - 6. Let w be s(-4). Let a be c(w). What are the prime factors of 124\/a + (-2)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509465 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**7\/5040 + x**6\/1440 - x**4\/3 - 5*x**2\/2 + 6*x - 6. Let i(j) be the third derivative of r(j). Find o, given that i(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -867 in increasing order.\nAnswer: -867, -5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*a + 4*r + r, a + 3*r = 24. Let m(o) = o**2 - 9*o + 8. Let p be m(a). Suppose -2*i - p = 0, -q - q = -3*i - 52. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.04726cm in nanometers?\nAnswer: 960472600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 15*q**2 - 15*q - 24. Determine u(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2772, -5437, -7934, -10179, -12088, -13577, -14562, -14959?\n\"Answer: 14*q**3 - 2763*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 1.68.\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86*s**4 + 723 wrt s?\nAnswer: 344*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, -4, -5, -456, 64, -2 in descending order.\nAnswer: 64, 22, 3, -2, -4, -5, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 - i + 5. Let l(p) = -11*p**2 + 2*p - 11. Suppose -3*z = -3*o - 18, 2*o + 3 = -1. Suppose -v = z - 17. Give v*u(y) + 6*l(y).\nAnswer: -y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-42) - 19\/(-7). What is the first derivative of 6*v**2 + 2*v**3 + 12*v**m + v**3 - 57 - 5*v**3 wrt v?\nAnswer: 30*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5 + 1. Let o = w - 10. Let h = o - -19. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76569 (base 13) in base 5?\nAnswer: 23322131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(2 + sqrt(76)) + 4*sqrt(76)*-2 + 3 + sqrt(76) + (-2*sqrt(76) - sqrt(76)) + 3))**2.\nAnswer: -8000*sqrt(19) + 53900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 61. Let b be (-1 - 7)*((m - -3) + -10). What is the second smallest value in 0.05, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176400*n**2 + 104844*n.\nAnswer: 352800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*h - 33, -h - 4 = 2*z - 15. What is the units digit of (-3)\/h*-5*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/(-5642)*462\/(-165).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131021971 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**8\/4 - 29*i**4\/12 - i. What is the third derivative of n(u) wrt u?\nAnswer: 1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.9487 years in decades?\nAnswer: 39.19487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/51*(-1)\/5*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.1 - -0.2. Let g = m - -5.9. Let c = -10 + 15. Put 2, c, g in increasing order.\nAnswer: g, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, t: 1, e: 5, o: 3, l: 1}. What is prob of sequence ltj?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010213 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*o + 28 = 0, -2*o = -3*r - 0*o + 22. Let v be (19\/(1064\/(-42)))\/(35\/(-32) - -1). Sort r, 3, v in decreasing order.\nAnswer: v, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, t: 9}. Give prob of sequence tt.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ormiora. Give prob of sequence oa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28440216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 1. Let h(f) = 6*f**2 + 12*f - 12. Let d(s) = -12*c(s) + h(s). Let x(y) = -3*y**2. What is x(d(z))?\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {n: 1, e: 3, l: 11}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8 minus 7493.1?\nAnswer: -7481.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 308303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/273)\/(4\/(-13)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -184891682*x**2 - 151465308.\nAnswer: -369783364*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687.418m in kilometers?\nAnswer: 1.687418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-2)**2 + (sqrt(190)\/(sqrt(10)*2))**2.\nAnswer: 43795\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-275 + 275 - 25*c)*(-5 + 11*c + 6 + 0) + (2*c + 0*c + 0*c)*(-3 + 3 + 2*c) + 3 + 2*c**2 - 3.\nAnswer: -269*c**2 - 25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxvyvexebeyyb. What is prob of sequence xx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 12:33 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237695520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 4 - 3)*(79*s - 135*s + 110*s)*(-s**2 - 2*s**2 + 4*s**2).\nAnswer: 756*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 0*l**4 + 0*l**3 + 0 - 1\/30*l**5 + l**2. Let i(s) be the second derivative of -s**4 + 212*s. Calculate i(z(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398033 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-119)\/((-21)\/(-6) - 3). Find the common denominator of (-9)\/(-21)*s\/20 and ((-194)\/24)\/(49\/98).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c8 - 20?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/19 - 958*p**4\/19 + 3812*p**3\/19 - 5708*p**2\/19 + 3802*p\/19 - 50.\nAnswer: 2*(p - 475)*(p - 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -369 + 369. Let u(f) = f**3 + 2*f**2. Let n be u(v). Solve -2*w + 9 = 3*a, -4*w = -n*w - 3*a - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1\/18, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 17. Let p(m) = 3*m - 16. Calculate -3*p(d) - 2*y(d).\nAnswer: -d + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.055 and -1.722?\nAnswer: 0.09471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*l + 8 = -4*l, -3*z + l + 4 = 0. Let r(x) = 6*x + 11. What is the remainder when 41 is divided by r(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1259412 and 37\/43428?\nAnswer: 1259412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 j, and 1 b when four letters picked without replacement from ejejveeevjbvj?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 592*w**2 + 4964*w - 4368.\nAnswer: -4*(w - 7)*(w - 1)*(w + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**21\/x**(12\/11) assuming x is positive.\nAnswer: x**(219\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -36.00068. Round k to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.208698 seconds?\nAnswer: 0.000141304375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61150?\nAnswer: 2, 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6)*(-1 - -329). Suppose -k + r = -b, -3*k + 472 = 2*b - 0*b. What is k rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 62893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 5*g**2 - 5*g + 4. Let l be f(4). Suppose 0 = -2*q + a, 2*a - 5 = -1. Let j = -2 + 1.8. What is the closest to q in l, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 498.1337 grams to micrograms.\nAnswer: 498133700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + a + 23, -3*b = 3*a + a. Solve -4*t - 2 = -4*f - 10, 5*f - b*t + 8 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23085241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230866351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0053211 to 4 dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -322*i**3 + i**2 + 5*i + i**4 - 316*i**3 + 5*i + 629*i**3 to the form p*i**4 + f*i + d*i**2 + o*i**3 + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (3 - 6)\/(-1). Let x(n) = -8*n**2 - 3*n - 2. Let k be x(-1). Let y = k - -10. Put y, b, -5 in descending order.\nAnswer: b, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 383804, 383569, 383332, 383093, 382852, 382609?\n\"Answer: -j**2 - 232*j + 384037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.39 and 1673?\nAnswer: 25747.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ztztztititzt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119434 * 2.\nAnswer: -238868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-13 - (-38 + 54))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 + 54*p**4 + 15138*p**3 - 16190*p**2 - 303000*p = 0. What is p?\nAnswer: -75, -4, 0, 5, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 47018*s\/5 - 563928\/5.\nAnswer: -2*(s - 23497)*(s - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7240243 to the power of 1\/2, to the nearest integer?\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 2 + 9*r - 5*r - 74 to the form x*r + u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*h**3*x**3 - 2*h**2*x**3 - h**2*x - 4*h*x**3 - 5*h*x - 2*x**3 wrt h?\nAnswer: 192*h*x**3 - 4*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 - 26 + 26.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100 = -134*d + 244*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5\/7 - 90*m**4\/7 - 675*m**3\/7 = 0. What is m?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61261030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1.9, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -25890\/7, 25, 0.5, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 4*w + 29, w + s = 3*s - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18500 and 4360?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 0*u + 2*a + 0 + 12 = 0, 2*u + 85 - 23 = -4666*a + 4631*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.2. Let h(p) = 2*p**2 + 5*p + 5. Let m be h(-3). Let y be (2\/m)\/((-6)\/18). Are y and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30705 divided by 2.\nAnswer: 30705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71970125 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - 6 = -5*z, 0 = 5*z + 3*m + 9. Suppose -f + 4*q = -0 - 6, f + 4*q + 2 = z. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + u - 22. Let z(n) = n**2 + n - 23. Determine -2*a(s) + 3*z(s).\nAnswer: -s**2 + s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1\/l)**(-1\/18)\/(l**1*l*l)**(-2))\/(((l\/(l\/l**7))\/(l**(1\/3)\/l))\/(l**(4\/7)*l**5)) assuming l is positive.\nAnswer: l**(485\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41703147 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.81145 and 1040?\nAnswer: -843.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1350 and -97\/550.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4757 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13230 and 22050?\nAnswer: 66150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/112 and 21\/62.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20552 (base 6) to base 7\nAnswer: -11114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:42 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o**3 - 2*o**3 + 6*o**3 + (-o + o + 2*o)*(-2*o + 2*o - o**2) - o**3 + 4*o**3 - o**3.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -19. Suppose x*n = 8*n + 5*v - 25, 3*n + 2*v - 12 = 0. Solve 0 = -5*q + n*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101111010101101101001100?\nAnswer: -1101111010101101101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/5*(-21825)\/(-78570).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 510 (c) -0.4 (d) -0.02 (e) -4 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12*-2*3. Let x = -15.5 - -16. Let w = x + -1. What is the nearest to -0.1 in b, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1882, 3723, 5564, 7405, 9246?\n\"Answer: 1841*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5)\/(x**(-2)\/x))**(-8\/3)\/((x\/x**(-13))\/(x\/(x**(2\/37)\/x)))**(-33) assuming x is positive.\nAnswer: x**(216034\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 267*j - 2204. Calculate the remainder when 11654 is divided by g(8).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16687537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3078 + 89\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22192027?\nAnswer: 11, 13, 311, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 1 n when three letters picked without replacement from nvlnvnhlnnhnl?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13970 greater than or equal to -13996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 8, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.247446874 to 4 decimal places.\nAnswer: 0.2474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.9 times 1029489?\nAnswer: -30781721.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61425208992 + 0.4.\nAnswer: -61425208991.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01 or 0.20515?\nAnswer: 0.20515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2221 + 2260. What is the highest common divisor of 299 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:24 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-288)*5*(1058\/600 + 1512\/(-864))\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*q - 21*q + 61*q = 5038. Solve -q*n = -48*n + 130 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-32) - 26\/(-8). Suppose 3*w + 4*y - 190 = 0, h*w + 7 = 5*y + 161. Is -7 - -7 - (-1 - w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7626*u - 4 + u**2 + 27*u**3 + 7626*u in the form i*u**3 + k*u + f + c*u**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 + 0.205. Let h = -481 - -475.275. Let m = h + j. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 4743900?\nAnswer: 4743900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*j**2*l**3 - 13*j**2 + j*l**3 - 224188*j*l**2 + 7160*l**3 wrt l.\nAnswer: 1608*j**2 + 6*j + 42960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*z**2\/7 + 25218*z\/7 + 8398\/7.\nAnswer: 2*(3*z + 1)*(12*z + 4199)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556812484.\nAnswer: 2, 827, 168323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -3*h - 6, 4*h = t + 17 - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3175 (b) -2\/81 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 11*u + 500005. Suppose -3*z + 2*q + u = 1170993, q + 4 = 0. Round z to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -11 (b) 1\/3 (c) 214 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 567\/11, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Let x(o) = 20 - 2*o - 16 + 0. Let r(b) = b + 6*b - b - 11. Let p(s) = -4*r(s) - 11*x(s). What is p(k(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 13*k + 13. Is n(13) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 + -134. Let f(n) be the second derivative of 0 + 10*n**4 - q*n + 24*n**3 + 7\/5*n**5 + 16*n**2. Factor f(u).\nAnswer: 4*(u + 2)**2*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80197816.3 to the nearest 100000.\nAnswer: 80200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1606 and 42\/1595.\nAnswer: 232870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 17*q - 2. Let y be j(-17). What is the fourth smallest value in 86, -2\/25, y, -5?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 - 25*v**2 + 33*v - 9. Give a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12192 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 15. Let y be o(-6). Let v be y - (-4 + (-2 - 0)). Solve 2*l + 2 = 5*s + 21, v*s = 5*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (6*1*sqrt(648) - sqrt(216)\/((sqrt(48) - (sqrt(48) + sqrt(192)))\/sqrt(4))))**2.\nAnswer: -219*sqrt(2) + 47963\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzg when three letters picked without replacement from zuzgzzggggzgg?\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -47*m + 12. Let f be n(-6). Let u = -128 + f. Suppose -58 = 3*v - u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvveoveeeevveeee. Give prob of sequence vvov.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -317.5?\nAnswer: -307.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - 10) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 6*h**2 - 2*h - 14*h**2 + 1 - 10*h**2. Calculate t(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38256 divided by 16.\nAnswer: 2391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, d: 2, j: 1}. Give prob of picking 2 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-699)\/(-9) - (-8)\/24. Let j = h + -82. Let c be j\/(-18) - (215098\/(-9))\/1. Round c to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41381865 and 630?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -130\/3, 3\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2721860 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 + -100. Let w = d - 72.5. Which is the smallest value? (a) -7 (b) 0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -730750473 minus -736?\nAnswer: -730749737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1358 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9540 is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -338*g**5\/9 - 988*g**4\/9 + 490*g**3\/3 + 16*g**2\/9 - 160*g\/9 = 0. What is g?\nAnswer: -4, -4\/13, 0, 5\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0916223 rounded to four dps?\nAnswer: -0.0916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*f + 30, 4*v = -5*f - 0*v + 35 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -0.10728627.\nAnswer: 1.82386659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -15*u - 3*c, 4*c = 84*u - 83*u - 15 - 53 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = -31. Suppose 3*j - m = 52. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 13 - 4*l**2 + l**2 - 9. Let s(f) = -8*f. Determine p(s(u)).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404524 is divided by 17583?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 1825 = -271. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -19, -5.\nAnswer: -19, -5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-49)\/(-14) - (-1)\/(-2). Suppose 5*q = 2*o + 27, -4*q + 4 + 11 = 5*o. Let g = q + k. What is the remainder when 14 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 4*x - 14, 0 = t - 2*x - 0*x - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 200523 + -5\nAnswer: 200518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -139, -394, -881, -1678?\n\"Answer: -13*k**3 + k**2 - 13*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 54) + 8 + (4 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydyd when four letters picked without replacement from ydyd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - k**2 - 14*k + 4 - 18*k + 31*k. Let f(p) = -7*p**2 - 2*p + 9. Give -9*d(h) + 4*f(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 432164*r**4 - 115429*r**2 wrt r?\nAnswer: 10371936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2460085l?\nAnswer: 246.0085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.1. Let h = 0.066 + f. What is h rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.38 and -962427.\nAnswer: -962425.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*h*p*t - 201*a*h*t + 4*a - h*p + 81*h + 10*p*t - 25 wrt t.\nAnswer: -2*a*h*p - 201*a*h + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**2 + 615955692*y - 307977844 = 0. What is y?\nAnswer: 1\/2, 76994461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-5 + sqrt(1053)*2 + (sqrt(1053) + 1)*-6) - ((sqrt(1053) - sqrt(1053)*-3) + 1 - (3*sqrt(1053) + 0)))*-3)**2.\nAnswer: 271350*sqrt(13) + 5963526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 10 (c) -3\/16 (d) 1 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1593 - -1584 - (24 - 1)) + 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(-984)\/(-41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3901\/4140 + -572327213\/33120. Let x = -17278 - o. Find the common denominator of x and -91\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23699, -82447, -180365, -317459, -493735, -709199, -963857?\nAnswer: -1257715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1*4 - sqrt(20)\/(sqrt(120)\/sqrt(12)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d**3 + 477*d**2 - 4*d - 215. What is m(-53)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237076752 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3809252 minus -356758?\nAnswer: -3452494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -265, 15, 481, 1133, 1971?\n\"Answer: 93*l**2 + l - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(432) - sqrt(432)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 - 3*h + 4. Let f be p(-4). Let u(t) = -9*t + 39. Let y be u(4). What is the first derivative of f*x + 4 + 0*x - y*x wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95965 is divided by 1301.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 3*k + 12. Let u be p(-5). Let v be (-42)\/u + 19\/2. Solve v = -3*x - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let b(m) = -2*m - 1. Let x(a) = -19*a + 4. Let u(o) = 5*b(o) - x(o). Let c(t) = -5*f(t) - u(t). Let s(h) = -2*h. Determine c(s(j)).\nAnswer: 8*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (6 + -4 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 454, 682, 910, 1138, 1366?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(47\/(31161\/26))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 7*c + 9. What is h(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 78 = -44. Which is the smallest value? (a) 4 (b) w (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) + sqrt(18)\/sqrt(54))**2)*-6*1.\nAnswer: -32 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74197 is divided by 74103.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Let x(b) be the first derivative of 5*b**4\/4 - 8*b - 20. Let f = 4 - -4. Let a(k) = -3*k**3 + 5. Give f*a(m) + u*x(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34929547, -34929548, -34929549, -34929550?\n\"Answer: -v - 34929546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 7. Let s(a) = -2*a + 13. Let g(l) = -11*c(l) + 6*s(l). Let n(i) be the first derivative of 5*i**2\/2 - 6*i + 3. Determine -4*g(v) - n(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 272, 365, 422, 437, 404, 317?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626988.\nAnswer: 2, 3, 52249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 478, 3, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Calculate the smallest common multiple of 3\/(1\/(-2)*-1) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11446)\/429225)\/((-34)\/100).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -4 + 85 - (2 + 9) and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 7*g + 6. Let l be m(8). Let k be (l\/4)\/((-3)\/(-18)). Let b(c) = 3*c + 1. Let h be 4 - -1*(-1 + 2). Let o(w) = 2*w + 1. Give h*o(n) + k*b(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 7*k - 16. Does 17 divide w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10948 and 98532.\nAnswer: 98532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 185. Suppose 5*o + 507 = 2*i, -i + 205 + 200 = -4*o. Let r = o + h. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 22 - (-6 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*z - h - 4*h, -3*z - 3*h - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/25 (b) -0.4 (c) 0.4 (d) 0.08 (e) -3 (f) -38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 976326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 3 + -3 - 4) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*231840\/49680?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oopppopp. Give prob of sequence ooo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4623 (base 7) to base 4.\nAnswer: -122103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + j + 6 = 0, -j + 5*j = -5*q + 30. Calculate the lowest common multiple of q and 2334.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let n(y) = y**2 + 14*y + 29. Let g be n(-12). Which is the nearest to -4? (a) 0.2 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*p - 11 = 4*p, m + 5*p = -21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 22830250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 - 2665*d**4 + 6*d**3 + 15998*d**2 + 21323*d + 7995.\nAnswer: -(d - 3)*(d + 1)**3*(d + 2665)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6*j + 10*j + 2*j**2 - 5*j + (0*j - 2*j + 6*j)*(-3*j - j + 6*j) to w*j**2 + u + y*j and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**3 - 8*j**2 - 2*j - 5. Let g(d) = -11*d**3 + 23*d**2 + 6*d + 14. Let k(p) = 8*b(p) + 3*g(p). Determine k(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 2*n**2 + 2*n + 1. Give u(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*x**4 + 4)*(-2 + 2 - 2*x) - 3*x**5 - x**5 + 5*x**5 + 2*x**5 + 1 - 1 + 2*x**5 + 2*x**5 - 5*x**5 + 29*x**2 - 29*x**2 - 5*x**5.\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15847+-0.03112038\nAnswer: -15847.03112038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*g - 240 = 359*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1946 divided by 88.\nAnswer: -973\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 5:29 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -4\/101863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -1, 2\/255, 0.5, -0.05, -2\/15?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 7:24 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 + (-1 - -2). Let i be 9 + -2 + n + -4. Suppose 2*q + 2*q - 10 = 2*u, 0 = i*u - 5*q. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (-4 + (-2 + sqrt(325))**2)) + (6*sqrt(325)*3)**2)*5 + -4.\nAnswer: 125*sqrt(13) + 524871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 20*s + 17 = 23*s, 5*d + 55 = 5*s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 12*s + 8. Let f be v(-12). Suppose 3*j = f*j. Are 3 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*j - 118*j + 96 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 846 - 838. Let t be (-45)\/(-12) - (-3)\/(-4). Solve -5*s + t*k = c*k - 15, s + 9 = 2*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 5 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from kkrpwfkfxpwfwfk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/70 - 6\/10) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1219 and 1.\nAnswer: -1219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 407, 1928, 6061, 14114, 27395, 47212, 74873, 111686?\n\"Answer: 218*d**3 - 2*d**2 + d + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 14. Let q(b) = 10*b**3 - 3*b + 3. Does 13 divide q(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30709\/3 + 10239. What is g in -1\/3*g**2 + 2*g - a = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 7. Let r be s(-11). Let u be (-6)\/(-8) + (-8)\/(-32). What is the third derivative of -u + 5 + 8*c**6 - r - 22*c**2 wrt c?\nAnswer: 960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from {s: 1, j: 5, o: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 109 (b) -2\/15 (c) 3 (d) -2\/13 (e) -1\/12 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2308*v + 2293*v = -150 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 49. Suppose p = -2*y + 3*f + 727, 7*y = 6*y + f + 363. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f + 28. Let b(s) = 18*s - 29. Let x(o) = -4*b(o) - 3*h(o). What is the units digit of x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-672)\/(-315))\/((-20)\/15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168335?\nAnswer: 5, 131, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3651482423702 + 0.21.\nAnswer: -3651482423701.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -20*x**2. Let s be (-2)\/5 + 24\/10. Let y(l) = -38 + s*l + 38. What is y(m(w))?\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 5*r)*(-40*r**4 - 61*r**4 - 83*r**4) + 5*r**5 + r**5 + 3*r**5 + (-2*r - 1 + 1)*(2*r**4 + r**4 - 2*r**4).\nAnswer: 191*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 31417, 0 in increasing order.\nAnswer: 0, 2, 31417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p + 2. Let o be c(-7). Let n(j) be the first derivative of 3*j**2\/2 + 3*j - 4. Let b be n(3). What is the greatest common divisor of b and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93)\/(-31)*2\/(-4))\/(60\/(-680))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/67 (b) -0.028 (c) 5 (d) -4 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g - 97 + 129 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/20)*24\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 2*f**3 + f**2 - f - 1. Let c(l) = 3*l**2 - l + 1. Let o be c(1). Is j(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3055a4 (base 11) in base 6?\nAnswer: -14302543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173142 - 52103. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.8. Let p be (-4)\/(-8) - 4\/94. Let j = -2\/47 - p. Which is the nearest to 0.1? (a) q (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + 3.98. Let d be (-24)\/48 + ((-22)\/28)\/(-1). Which is the third smallest value? (a) d (b) 11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 2*p**2 - 41*p - 51. Calculate s(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 25. Put 3, h, -2 in descending order.\nAnswer: 3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 874, 1978, 3082, 4186?\nAnswer: 5290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2 > 1\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 66 = -2*f, 0 = -0*k - 3*k + 3*f + 45. What is the greatest common divisor of 54 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 2\/21, 6.\nAnswer: -0.2, 0, 2\/21, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17307, -69193, -155667, -276723, -432355, -622557?\n\"Answer: t**3 - 17300*t**2 + 7*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 42*o + 1261. What is t(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*t - 236*t - 238*t)*(6*t**2 - 3*t + 3*t)*(-t**2 - 1 + 1).\nAnswer: 2412*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*l + 31, r = 3*r + 2*l + 18. Is -1 - (7 + r + 2)*-4 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61765.17 microseconds in milliseconds?\nAnswer: 61.76517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 131. Suppose -3*o + 2*n - 26 = -164, 2*o - g = -2*n. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 3*c + 55, 0 = 5*o - c - 247. Suppose -6*u = 11 + o. List the prime factors of 10\/2 + (u - -225).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -4 (c) 0.068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/25*1160\/87.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 552238595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2082 + 5?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*g**2 + 3*g - 5*g + 3*g - 165 - 132*g**2 in the form t*g + y + k*g**2 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 2 - 4)*(0 + 4 - 2) + (0 + 1 + 3)*(0 + 1 + 0))*(-4 - 13*q + 4) to the form r*q + u and give r.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4\/5 - 42*x**3 - 4724*x**2\/5 + 41664*x\/5 - 12544 = 0.\nAnswer: -56, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/10)\/(-2))\/(12\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 - -373. Let r be (-32)\/39 - 6\/(-39). What is the biggest value in 1\/2, x, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d**2 - 3*d + 324. What is the thousands digit of s(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -80 - 772. Suppose 3*h - 3*r = r + 213, l = 4*h + r. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1408)\/528*((-30)\/36)\/(10\/(-18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 5. Let o be g(-4). Suppose 24 = m - 3*f, 3*m - 3 + 1 = -5*f. Suppose m*q + 8 = 11*q. Put -4, o, q in decreasing order.\nAnswer: q, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14169\/12 - (-4)\/16. Let v(k) = -125*k + 17. Let f be v(5). Let q = f + a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3066982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*v + 2*r = -189*v + 20, -3*r + 14 = 2*v + 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (24\/(-4) - -3). Suppose -12 = 3*z + j + o, 2*j = 5*z + 5. Which is the third smallest value? (a) -0.5 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2 - y + 1. Let o = -46 + 49. Let k(h) = -3*h**3 + 0*h + 7*h - 3 + 4*h**2 - 2 + 6*h**o. Calculate -4*g(x) - k(x).\nAnswer: x**3 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from kkddss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9780948361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/6)\/(168\/162) and -37\/466.\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1470)\/60*2\/(-7) + 3*-10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1433194, 1433194, 1433196, 1433200, 1433206, 1433214, 1433224?\nAnswer: 1433236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 242465144 divided by -6068?\nAnswer: -39958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 7, r: 3}. Give prob of picking 4 f.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396 + 785 - 389 - 3*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19813.41 + 20124. Let i = a - 310. Are -1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 2. Let k(s) = -4*s - 3. Give -6*g(f) - 7*k(f).\nAnswer: 10*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 59460 = 12*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1815, 3628, 5441, 7254, 9067, 10880?\n\"Answer: 1813*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-2 - 2*h + 2) - 2*h + h + 3*h + h + h - h + (-13 - 15 + 9)*(19 + 3 - 6)*(h - 4*h + 2*h).\nAnswer: 309*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-9)\/12*2). Let t(g) = g**3 - 6*g**2 + 5*g + 2. Let r be t(5). Suppose -3*s + 12 = 4*j - 6, -2 = -a*j + r*s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167913 and 396576.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 0*p + 0*p - 14*p + 10*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 8. Let h be k(0). Suppose 0*d + h = -2*d. Let s = -3\/7 - -33\/28. What is the second biggest value in -3\/2, s, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2*p - 2*p + (2 + 0 + 2)*(2 - 2 + p**2) + 2*p**2 - 4*p + 4*p)*(-2 + 2 - 3*p) + 6*p**3 - 5*p**3 + p**3.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4\/3, -0.024, 2, -8, -0.2, -95\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 0 - (0 + -124) - 0. Suppose -y = -16*l + 4913. Calculate the greatest common factor of 35 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15686, 62761, 141226, 251081, 392326, 564961, 768986?\n\"Answer: 15695*i**2 - 10*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 17 = -4*j, 2*p - 8 + 0 = j. Suppose -5*y - o = -151, 3*y - 154 = -2*y - 4*o. Let k be (10\/y)\/((-2)\/6). Sort -5, j, k.\nAnswer: -5, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4*z - 32 = 0. Let t be (5\/((-25)\/2145))\/((-2)\/z). Suppose 0*b = -12*b + t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319 - 1263\/4. Factor p**3 + 11\/4*p + x*p**2 + 1\/2.\nAnswer: (p + 1)*(p + 2)*(4*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + 2\/(-2). Is (j - -36) + (3 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}