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Let z be -2*(-1)/(-44)*-4. Let y = -232 + 1626/7. Which is the second smallest value? (a) y (b) -2/29 (c) z c Let x be 8/6*(-3)/(-2). Suppose r - x*r = -17. Suppose -g + 4*s - r = -3, g + 5 = s. Which is the third biggest value? (a) 4 (b) -0.1 (c) g c Let m be 50/4*12/15. Suppose 2*j = 2*u + m, -2*u - u = 4*j - 6. What is the smallest value in j, -0.3, -1? -1 Let i = -11/2 + 103/18. What is the third smallest value in -57, -0.2, i? i Let x = -490 - -489.8. Which is the third biggest value? (a) x (b) 5/2 (c) -57 (d) 2/9 a Let w be ((-32)/(-80))/((-6)/45*-1). What is the third smallest value in -0.2, 8.6, w? 8.6 Let o be 0 - (3 - 1)/(-4). Suppose -42*u + 123 = 472 + 407. What is the smallest value in -0.2, u, o? u Let w be -3 + 4/1 + 3. Suppose -2*r = -w*v, 4*v - r + 0*r = 2. Let u be 1/(-4) + 38/(-8). Which is the biggest value? (a) 4 (b) v (c) u a Let v = -74 + 67.3. Let w = v - -1.7. What is the second biggest value in 2/3, w, -3? -3 Let i = 0 + 0.5. Let f = 18130507/138 + -131382. Let h = 1/69 + f. Which is the smallest value? (a) -0.1 (b) h (c) i b Let d = -5.264 + 0.264. What is the biggest value in -1/2, d, 0.09? 0.09 Let b = -0.2 + 0.3. Let q = -6.9 - -7. Let y = b - q. What is the third biggest value in y, 0.4, -1? -1 Let u = 16.66 + -16.26. Let q = 3.93 + 0.07. Let v = q + -3. Which is the second biggest value? (a) -0.5 (b) u (c) v b Suppose 0*m + 2*m = -30. Let r = m + 25. Let t be (24/(-140))/((-3)/r). What is the third biggest value in t, -4, -3/5? -4 Let m = 0.0902 + -0.4902. Which is the third biggest value? (a) -4 (b) 2/5 (c) 0.8 (d) m d Let z = -3 + 3.65. Let j = 0.75 - z. Which is the smallest value? (a) 2/43 (b) -0.1 (c) j b Let h = 1.509 + -1.409. Which is the biggest value? (a) -13 (b) 2/9 (c) h (d) -0.2 b Let p = 136.1 - 131.1. Which is the second smallest value? (a) 2 (b) -4 (c) p (d) 1/6 d Let w be 16/(-20) - (-156)/120. Let u = 12 + -5. Let v = u - 12. Which is the third biggest value? (a) 5 (b) w (c) v c Let r = 198 + -197.9. Which is the second smallest value? (a) -0.05 (b) r (c) -4 (d) -0.2 d Suppose -m + 4*m + 153 = 0. Let a = 45 + m. Let k = -1.9 - -2. What is the third biggest value in a, k, -3? a Let v = -0.34 + 0.18. Let q = -4.16 - v. What is the second smallest value in -2/27, q, -2/3? -2/3 Suppose -s = -5*s + 3*j + 7, 3*s - 8 = 5*j. Let z be 18/(-4)*(128/24)/(-8). Which is the biggest value? (a) s (b) 2/11 (c) z (d) -3/8 c Suppose 0 = -2*r - 77*t + 76*t - 10, 0 = -5*t. Which is the smallest value? (a) -10 (b) r (c) 16 a Suppose 4*i + 82 = 4*u - 226, -157 = 2*i + u. Let n = i + 75. Which is the biggest value? (a) n (b) -1/6 (c) -37 b Let f = -956.4 - -956. What is the third smallest value in 3, -3, 1/4, f? 1/4 Let p = -33 - -32.58. Let d = p - -0.02. Let f = d - 0. Which is the second smallest value? (a) 2 (b) f (c) -3/4 b Let f = 74/85 + -8/17. Let l = -16/15 + f. Let q be -5 + (3 - 2) - -3. Which is the second smallest value? (a) l (b) q (c) 0.4 a Let g = 6 + -36. Let y = -31.1 - g. Let j = y - 0.5. What is the second biggest value in 4, j, 0? 0 Let p = 1.1 - -2.9. Let k = p + -4. Let l = 0.9 - 0.6. What is the second biggest value in l, 0.5, k? l Let y = 2070 - 6211/3. What is the fourth smallest value in -5, y, -6, 5? 5 Let g = -0.29 - -0.28. Let b = 0.21 + g. What is the smallest value in -2/15, -18, b? -18 Let s = 20.83 - 21. Let a = s - -0.11. Let p = -0.04 + a. What is the third smallest value in 0.2, -0.2, p? 0.2 Let u = 0.09 - 0.17. Let p = u + -3.92. What is the smallest value in -1/2, 3, 2, p? p Let p = 554 - 554.2. What is the second biggest value in 0.4, -1/41, -5, p? -1/41 Let r(c) = 2*c - 5. Let b = 8 + -3. Let i be r(b). Suppose v + 15 = -3*x, 13 = -3*v - i*x - 12. What is the second smallest value in v, -4, 1? v Let h = -3.9 + 1.4. Let f = h + 4.5. Let m = -130/261 - -8/29. Which is the third biggest value? (a) m (b) f (c) 0.1 a Suppose 5*d + 2401114 = 7*d. Let k = -34823782/29 + d. Let x = 263 + k. What is the smallest value in -0.4, 0.3, x? -0.4 Let y = -11.7 - -12. Let m = -1.1 - -0.9. Let r = m - -1.2. What is the biggest value in y, 5, r? 5 Let w = 1.9 - 2. Let n = -0.0831 - -0.5831. What is the second biggest value in w, n, -24? w Let n = 2761 + -2731.38. Let d = 30 - n. Let z = d + 0.02. Which is the second biggest value? (a) z (b) 0.2 (c) -2/7 b Let q = 0.15 + -0.17
{ "pile_set_name": "DM Mathematics" }
89)/45 + (-1)/(-5) - -17. Suppose 4*j = a*u - 12*u + 2345, 5*j + 3*u = 2944. Is j prime? True Let n(a) = -4181*a - 1529. Is n(-8) prime? False Let j be -7 + 23118*8/16. Is (1 + (j/(-12))/(-2))*21 a prime number? False Suppose 0 = 9*k + 19492 + 227. Let b = 4496 - k. Suppose 5*s - 5*r = 11140, 3*r = 3*s + r - b. Is s a composite number? True Let u(o) = o**3 + 31*o**2 + 24*o - 103. Is u(-14) prime? False Let k(y) = 7*y**2 + 99*y + 15. Let f be k(-14). Is 22296 - (f - (14 - 6)) a composite number? False Suppose -4*h + 10*h = 0. Suppose -22*n + 6*n + 25952 = h. Is n a prime number? False Let l(u) = 3458*u + 23. Let v(m) = -6*m + 96. Let p be v(15). Is l(p) a prime number? True Let c = 68 + -48. Suppose -c = -17*l + 13*l. Suppose 7*j = l*j + 1174. Is j prime? True Let p(u) = 283*u**2 - 3*u + 76. Let x be p(5). Suppose -x = -6*w + 19522. Is w composite? True Let t = 993 + -988. Suppose t*x = -4*c + 19925, -15940 = 8*x - 12*x - 2*c. Is x composite? True Suppose 77858 + 124006 = 24*f. Is f composite? True Let q(j) = 171*j**3 + 21*j**2 - 30*j + 275. Is q(8) composite? True Let z(w) = 1312*w**2 - 39*w - 224. Is z(-5) a prime number? True Let h be 4706/(-4 - -2)*-1. Let w be 4 - ((-4)/(8/(-2)) - 2). Suppose -562 = -p + 5*k, p = w*p + k - h. Is p composite? False Suppose 2 = w - g, g + 3 + 2 = 2*w. Suppose -4*s = -w*r - 13181, 14*r - 6623 = -2*s + 9*r. Is s composite? False Suppose 6*u + 5*i = 3*u - 12664, -i + 4 = 0. Let g = 14585 + u. Is g composite? False Is -11 + (-238)/(-22) - ((-8339258)/(-22))/(-1) composite? True Let z = -99 + 504. Suppose -4*n = 2*v - 830, n + 2*n + z = v. Let a = v - 18. Is a prime? False Let c = -2 - -2. Suppose 8*k + k - 531 = c. Let v = 138 - k. Is v composite? False Let n(r) = 10709*r + 665. Is n(6) a prime number? True Suppose -5*d + 2*d + 2*n + 177 = 0, 4*d - n = 231. Suppose d*g = 58*g - 5155. Is g composite? True Let c(z) = 1694*z**3 - z - 6. Is c(5) a prime number? False Let q = 30296 - 4387. Is q composite? True Let t(s) = -s**2 - 9*s - 8. Let m be t(-1). Suppose -13*a + 30393 + 35504 = m. Is a a composite number? True Let x(j) be the first derivative of 257*j**3/3 - 23*j**2/2 + 17*j - 57. Is x(13) a composite number? False Let a(w) = -13*w**3 + 2*w**2 + 5*w + 7. Let o be 264/42 - 6/21. Let u be 2 + (-1 + 0)*o. Is a(u) composite? True Let l = -20379 + 271462. Is l a composite number? True Suppose 35 = -g - 5*u, -3*g + 0*g - 2*u = 40. Is ((-1)/3)/(g/(-18))*-1655 prime? False Let q(g) = 266*g**2 + 13*g + 41. Is q(-12) a composite number? False Suppose -18 = -11*x + 8*x. Suppose n = x*n - 1890. Suppose o - 1157 - n = 2*j, -9 = -3*j. Is o a prime number? False Let z(j) be the second derivative of -j**5/20 - 4*j**4/3 - 8*j**3/3 - 2*j**2 + 13*j. Let b(x) = -5*x**2 + x + 1. Let q be b(2). Is z(q) composite? False Let q be ((-4)/24)/(2/6)*-54. Suppose 30*f - q*f = 9411. Is f prime? True Suppose 26*s - 15*s = 851147. Is s composite? False Is -1693779*(460/(-60))/23 composite? False Is 252/168 - ((-593305)/2 + 3) composite? False Suppose 5*y + 4*f = 51, -3*y = -5*f - 24 - 14. Let t = -14 + y. Is 2/((-2)/(-1))*(-165)/t a composite number? True Let l(y) = -966*y - 1193. Is l(-27) a composite number? False Let o = -335967 - -492863. Let j = 224107 - o. Is j a composite number? False Is -10 + 7 + 2920*59 + 2 composite? False Is 685396/6 + (-35)/(-120) + (-10)/(-240) a composite number? True Let r be (-38)/(-14) + -1 + (-2)/(-7). Suppose -34*l + 29*l - 4*p = -17703, -r*l = 2*p - 7080. Is l a prime number? False Let v be 5740/168 - (-10)/12. Suppose v*q - 10515 = 32*q. Is q composite? True Suppose -41*i + 68*i - 16638993 = 0. Is i prime? False Let i(r) = -4309*r - 2451. Is i(-146) a prime number? True Let y = -25718 + 56881. Is y a prime number? False Suppose 0 = 29*c + 5602293 - 23784510. Is c prime? False Let a be 1*3 + (3 - -5) + -4. Suppose -f - 65328 = a*f. Is (f/12)/((-2)/4) prime? True Suppose -2*p - 5*g = -41, -3 = p + 3*g - 26. Suppose -12*f - 5392 = -p*f. Is (f/6)/((-4)/12) a prime number? False Suppose -1474*k + 1481*k = 259693. Is k composite? True Let s = -100602 - -224093. Is s a composite number? False Let s(v) = 133 + 52*v**3 - 136 + 4*v**3. Is s(5) prime? True Suppose 6 - 6 = -46*g. Let j(z) = 26*z + 3607. Is j(g) a composite number? False Let p(d) = -28701*d + 2501. Is p(-8) composite? False Let b be ((-68)/(6/(-3)))/(8/(-492)). Let s = b + 3623. Suppose 5*o = 4*n + 1531 + s, o - 3*n = 617. Is o a prime number? False Let d be -509 + 3 + (-2 - -3)*-1. Let p = 300 + d. Is (p/(-12))/((-6)/(-40)) prime? False Let c = -22 + 22. Let w(z) = c*z + 13*z**2 + 124*z**2 + 1 - 2*z + 4*z. Is w(2)
{ "pile_set_name": "DM Mathematics" }
is divided by s(-2). 273 Suppose -18*f + 21*f - 453 = 0. Let i = -21 + 61. What is the remainder when f is divided by i? 31 Let s be -2 + 1/((-2)/(-2)). Let w be -371*(3 - (-190)/(-70)). What is the remainder when (-24)/6 - (w + s) is divided by 26? 25 Suppose 0 = -53*y + 13212 + 12546. Suppose -12*j + y = -546. What is the remainder when 687 is divided by j? 85 Let j = 462 - -268. What is the remainder when j is divided by 146? 0 What is the remainder when (-6)/(-48) + (-476189)/(-472) is divided by 364? 281 Suppose -3*y + 0*y = 120. Let t = -17 - y. Let u(f) = -f + 21. What is the remainder when t is divided by u(12)? 5 Suppose 3*s + 3 = 0, 223 = 4*b + 2*s + 61. Let u(y) = y**2 + 10*y - 91. Let n be u(-15). What is the remainder when b is divided by 3/8 + (-106)/n? 6 Let m(s) = -101*s**3 - s**2 + 18*s + 20. What is the remainder when 341 is divided by m(-1)? 35 Let h = -69 - -73. What is the remainder when (-778)/(-16) + (-45)/(-120) is divided by h? 1 Let c = 635 - 912. Let o = c - -349. Calculate the remainder when o is divided by 30. 12 Let b = -12449 + 12459. What is the remainder when 1943 is divided by b? 3 Let p = 1847 - 1099. What is the remainder when p is divided by 14? 6 Suppose -3 = p - i + 203, -3*p - i - 598 = 0. Let x = -187 - p. Calculate the remainder when 31 is divided by x. 3 Let i(m) = m**3 - 7*m**2 + 4*m + 6. Let p(r) = -39 - r + 24 + 31. Calculate the remainder when i(7) is divided by p(3). 8 Let y(k) = 97*k + 2290. Calculate the remainder when 589 is divided by y(-23). 58 Let q(r) = 3*r**2 + 39*r - 50. Let f(l) = 7*l**2 + 80*l - 99. Let v(b) = -4*f(b) + 9*q(b). What is the remainder when 144 is divided by v(28)? 24 Suppose 0*r + 72 = 4*r. Suppose -10*u + 2147 - 7 = 0. Calculate the remainder when u is divided by r. 16 Let k(d) = -d**3 + 3*d**2 + 6*d + 14. Suppose 0 = -3*r - 7*x + 6*x + 284, 0 = r - 2*x - 97. Calculate the remainder when r is divided by k(-3). 45 Let k(y) = -2 - 7 - 11*y - 12 - 2. Let t be k(-5). Suppose -o - 2 = -0, b + 5*o = t. What is the remainder when 165 is divided by b? 39 Suppose 0 = 4*y - 154 - 390. Suppose 106 + y = 22*m. Let k = 5 - 1. What is the remainder when m is divided by k? 3 Let w = 15 + 6. Let s = 129896 + -129332. Calculate the remainder when s is divided by w. 18 Let r(i) = 31*i. Let h be r(-1). Let k(t) = t**3 + 46*t**2 - 47*t - 20. Let p be k(-47). Let q = p - h. What is the remainder when q is divided by 5? 1 Let u be ((-6)/(-4))/(3/(-114)). Suppose -51*k - 1902 = -5*k + 352. Let i = k - u. Calculate the remainder when 93 is divided by i. 5 What is the remainder when -4*(0 - 26/4) is divided by 3 + (-17 - -5) + 3 + 8 - -9? 4 Suppose 0 = 20*x + 91*x - 20184 - 12783. Calculate the remainder when x is divided by 158. 139 Let h be 2*(2/(-8))/((-2)/12). Suppose -h*w = -12, -4*w + 138 = 2*f - 70. Calculate the remainder when f is divided by 33. 30 Suppose i + 0*i = -3*b + 15, 5*b - 8 = 4*i. Suppose m = 5*w - m + 81, 21 = -2*w - i*m. What is the remainder when 56 is divided by 2/2 + 24 + w? 6 Let t(h) = -5*h - 14. Let y = -1456 - -843. What is the remainder when y/(-13) + 6/(-39) is divided by t(-6)? 15 Suppose 0 = 3*q - 5*n - 944, 23*q - n + 328 = 24*q. What is the remainder when q is divided by 18? 17 Let w = -252 - -256. Suppose 4*p = 2*r - 128, 5*r + 0*r - 306 = -w*p. Calculate the remainder when 183 is divided by r. 59 Suppose -b - l = -6, 4*l - 12 = -5*b + 5*l. Suppose -3*w - 5*t = -2*w + 11, t = -b*w + 37. What is the remainder when 137 is divided by w? 11 Let p = 6270 + -6259. What is the remainder when 51 is divided by p? 7 Let a = -47 + 14. Let q = a + 46. Let v(x) = x**3 + 5*x**2 - 8*x + 2. Calculate the remainder when v(3) is divided by q. 11 Suppose -8*n + 4*n + 168 = 0. Let p = 98 - n. Let h = 9 + p. What is the remainder when h is divided by 17? 14 Let d(q) = 2*q**2 + 21*q + 8. Let g be d(-11). Let s = 23 + g. Suppose -3*h + s = 2*c, -c = h + 2*c - 14. Calculate the remainder when 24 is divided by h. 10 Let b be -3 - (-8 - (11/(-1) + 5)). Calculate the remainder when 96 is divided by (76 - 24) + (b - 1). 46 What is the remainder when 508 is divided by 5/((-8)/96 - (-38)/312)? 118 Suppose 0 = -4*w + 86 - 30. Suppose 27*u - 1008 = 13*u. Suppose -u*f + 78*f = 330. What is the remainder when f is divided by w? 13 Let a(s) = 5*s**2 - 41*s + 183. What is the remainder when a(-20) is divided by 215? 208 Suppose -174 = 24*b - 30*b. Let h = -310 - -538. What is the remainder when h is divided by b? 25 Let z be 98/34 - (-10)/85. Suppose -12*r + 17*r - d - 384 = 0, 2*r - 151 = z*d. What is the remainder when r is divided by 2? 1 Let w(y) = -y**2 + 5*y + 11. Let l be w(6). Suppose -36 = -x + 3*a - 6, -a = l*x - 70. What is the remainder when x is divided by 3? 0 Suppose 0 = 54*p - 58*p + 180. Let n(c) = c**2 + c + 12. What is the remainder when p is divided by n(0)? 9 Let p(a) = a**3 - 21*a**2 + 122*a + 27. What is the remainder when p(9) is divided by 52? 49 Let n = -234 + 243. Suppose 2*c + c - 4*a = -12, -2*a = -6. Suppose -3*b - 6 = c, 3*b = -0*s + 5*s - 26. What is the remainder when n is divided by s? 1 Suppose 334*h - 3748 = 23*h + 5582. What is the remainder when 2330 is divided by h? 20 Let f = -275 - 467. Let i = 779 + f. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
: 2}? 2/35 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 1, w: 2, v: 1, u: 1, y: 2}. 2/21 Four letters picked without replacement from {n: 1, t: 6, r: 1, a: 1, o: 5}. Give prob of picking 1 r, 2 o, and 1 a. 10/1001 What is prob of picking 3 j when three letters picked without replacement from {r: 5, j: 10, z: 4}? 40/323 Four letters picked without replacement from {q: 5, d: 2}. Give prob of picking 2 d and 2 q. 2/7 Two letters picked without replacement from uziuuuzuekkukkhekkk. Give prob of picking 2 u. 5/57 Three letters picked without replacement from {u: 1, h: 4, k: 4, d: 5, b: 1}. Give prob of picking 2 k and 1 d. 6/91 Four letters picked without replacement from {i: 5, s: 8}. Give prob of picking 1 i and 3 s. 56/143 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from cccbcocccdcoccc. 1/105 Calculate prob of picking 1 l and 1 b when two letters picked without replacement from bdprppdrwpdprpppplp. 1/171 What is prob of picking 1 a, 2 k, and 1 q when four letters picked without replacement from kkamkmkqakkakkkkmkkk? 78/1615 What is prob of picking 4 p when four letters picked without replacement from {y: 1, p: 12, z: 1}? 45/91 Three letters picked without replacement from xqgxndqxqttttntqttxt. What is prob of picking 1 d and 2 t? 7/285 Three letters picked without replacement from {x: 4, l: 8, o: 1, s: 2, q: 1}. Give prob of picking 1 o and 2 s. 1/560 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yyykyfyvycyffvyf. 4/15 Two letters picked without replacement from txwfwtn. Give prob of picking 1 x and 1 w. 2/21 Calculate prob of picking 2 r and 2 k when four letters picked without replacement from {r: 4, k: 2, f: 7, l: 1}. 6/1001 What is prob of picking 1 s and 1 b when two letters picked without replacement from {d: 6, s: 1, b: 1, a: 5, z: 1}? 1/91 Calculate prob of picking 2 o and 2 i when four letters picked without replacement from iooioovi. 9/35 Calculate prob of picking 1 v and 1 b when two letters picked without replacement from zybvhhy. 1/21 Calculate prob of picking 1 o and 2 x when three letters picked without replacement from {x: 2, w: 9, o: 2}. 1/143 What is prob of picking 1 g and 1 a when two letters picked without replacement from caaacrragaa? 6/55 What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 1, h: 16, t: 1}? 1/153 What is prob of picking 3 s when three letters picked without replacement from swswwvvsvsv? 4/165 Four letters picked without replacement from qyttq. Give prob of picking 1 t, 2 q, and 1 y. 2/5 Calculate prob of picking 1 y and 1 l when two letters picked without replacement from dsdyssoddold. 1/66 What is prob of picking 1 r and 2 l when three letters picked without replacement from {z: 7, l: 3, n: 2, r: 5}? 3/136 Calculate prob of picking 3 v when three letters picked without replacement from {z: 4, v: 3}. 1/35 Two letters picked without replacement from xfzzxf. Give prob of picking 2 f. 1/15 Three letters picked without replacement from karrlrkoll. What is prob of picking 1 l and 2 r? 3/40 What is prob of picking 2 l and 2 d when four letters picked without replacement from ldrld? 1/5 What is prob of picking 2 f, 1 l, and 1 r when four letters picked without replacement from {f: 2, a: 1, z: 1, l: 1, i: 5, r: 3}? 3/715 What is prob of picking 2 p and 2 n when four letters picked without replacement from {n: 5, p: 3}? 3/7 Two letters picked without replacement from {u: 1, s: 2, o: 1}. What is prob of picking 2 s? 1/6 What is prob of picking 1 w and 1 n when two letters picked without replacement from nwkvwvggwvgvng? 6/91 Four letters picked without replacement from pffofppfoyp. What is prob of picking 2 f and 2 o? 1/55 Calculate prob of picking 1 s and 1 r when two letters picked without replacement from xrxxxsxxx. 1/36 Two letters picked without replacement from gzgomztgggzm. Give prob of picking 1 o and 1 z. 1/22 What is prob of picking 2 g when two letters picked without replacement from {f: 9, g: 5}? 10/91 Calculate prob of picking 1 e and 1 z when two letters picked without replacement from zrixxreg. 1/28 Three letters picked without replacement from {j: 10, g: 1, r: 1, q: 7}. What is prob of picking 2 j and 1 q? 105/323 What is prob of picking 3 z when three letters picked without replacement from {z: 13, b: 3}? 143/280 Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {o: 1, v: 1, s: 1, g: 6, x: 3}. 1/22 Three letters picked without replacement from {y: 3, l: 6, r: 4, s: 2}. Give prob of picking 2 s and 1 l. 6/455 Calculate prob of picking 3 v when three letters picked without replacement from {i: 1, v: 3}. 1/4 What is prob of picking 2 h when two letters picked without replacement from {h: 7, e: 1}? 3/4 What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 3, n: 4, m: 7, j: 4}? 7/51 Four letters picked without replacement from {p: 2, q: 1, j: 10, c: 4, v: 1}. Give prob of picking 2 c, 1 p, and 1 j. 2/51 Two letters picked without replacement from zzzrroorrzrz. Give prob of picking 1 r and 1 z. 25/66 What is prob of picking 2 v and 1 b when three letters picked without replacement from {y: 1, b: 1, v: 1, o: 1, x: 1}? 0 What is prob of picking 3 i when three letters picked without replacement from {i: 10}? 1 Three letters picked without replacement from oivovvhohiihv. What is prob of picking 3 i? 1/286 Three letters picked without replacement from fdjaftkjk. Give prob of picking 1 k, 1 t, and 1 f. 1/21 Three letters picked without replacement from fyyyyofofyfofoffy. What is prob of picking 1 y and 2 f? 63/340 Four letters picked without replacement from {e: 3, z: 1, p: 2, j: 3, c: 1}. What is prob of picking 1 e and 3 j? 1/70 What is prob of picking 2 u and 2 p when four letters picked without replacement from ppppupppuupppppppup? 105/646 Calculate prob of picking 1 v and 3 j when four letters picked without replacement from vjavodjvrjja. 4/165 Three letters picked without replacement from vjvjqqjqqjjjjqj. What is prob of picking 2 v and 1 q? 1/91 Calculate prob of picking 2 e when two letters picked without replacement from ejeeejeejeeeejej. 11/24 Calculate prob of picking 1 x, 2 t, and 1 q when four letters picked without replacement from {x: 3, q: 2, t: 3}. 9/35 Calculate prob of picking 1 n, 1 j, and 2 m when four letters picked without replacement from jqjfnmnmfmqqn. 18/715 Four letters picked without replacement from uktjujdk. What is prob of picking 2 k, 1 t, and 1 u? 1/35 Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {v: 1, t: 1, f: 7, x:
{ "pile_set_name": "DM Mathematics" }
1*m wrt b. -264*b*m**3 - 10464*b Find the second derivative of -7*m**2*o**3 - 114*m**2 + m*o + 910*o**5 - 2*o - 1 wrt o. -42*m**2*o + 18200*o**3 What is the third derivative of -12*g**6 + 18*g**5 - 41*g**2 - 2 wrt g? -1440*g**3 + 1080*g**2 Find the third derivative of 1325*n**3*o**3 + 2*n**2*o**3 - 146*o**3 - 1 wrt n. 7950*o**3 What is the second derivative of 20*h**2*x**3 + 3*h**2*x**2 - 19*h*x**3 + 2*h*x**2 - 3*x wrt h? 40*x**3 + 6*x**2 What is the first derivative of -1593*x + 1929 wrt x? -1593 Find the first derivative of -m**3*q - 26*m**3 + 185*m*q**2 + 3 wrt q. -m**3 + 370*m*q What is the third derivative of -c**3*h**2*k - 84*c**3*h*k**3 - c*h**2*k**2 + 3*h**2*k**3 - 221*h**2*k wrt k? -504*c**3*h + 18*h**2 What is the first derivative of -647*t**4 + 1331 wrt t? -2588*t**3 Find the third derivative of -12834*s*t**3 + 18745*s*t**2 wrt t. -77004*s What is the third derivative of 10*i**3*o**4 + i**3*o**2 - 110*i**3*o + 4*i**2*o - 939*o**5 - 1 wrt o? 240*i**3*o - 56340*o**2 Find the second derivative of 17*r**2*u**2 + 2*r**2*u*y + 4*r**2*u - 2*r**2*y + r**2 - 6*r*u**2*y + u**2*y wrt u. 34*r**2 - 12*r*y + 2*y What is the second derivative of d**5 - 2*d**3 - 52*d**2*v**2 - d*v**2 - 10*d wrt d? 20*d**3 - 12*d - 104*v**2 What is the second derivative of -m**2*y**3 + 2*m**2*y**2 + 261*m**2*y - 18*m*y**3 wrt y? -6*m**2*y + 4*m**2 - 108*m*y What is the third derivative of 22*h**4*s + h**4 - 16*h**2*s - 8*s wrt h? 528*h*s + 24*h What is the second derivative of 37*i**2*w**3 - 7*i**2*w**2 + 74*i**2 - i*w**2 + 2*i*w wrt w? 222*i**2*w - 14*i**2 - 2*i Find the second derivative of 820*u**2 + 1049*u. 1640 Differentiate d*k*q**2 + d*k + 6*d*q**2 - 11*k*q - q**2 - 4*q wrt d. k*q**2 + k + 6*q**2 Find the second derivative of -n**3*z**2 - 2*n**3 - 15*n*z**2 - 14*z wrt z. -2*n**3 - 30*n Differentiate 23*c*h - 50*c + 3*h*l + 2*h + 4*l with respect to h. 23*c + 3*l + 2 Find the second derivative of 15*i**2*n**5 - 3*i**2*n**2 + 170*i**2*n - 2*i**2 wrt n. 300*i**2*n**3 - 6*i**2 What is the first derivative of -7246*c**3*k - 3*c**3 + c**2 + 2*c*k - 157 wrt k? -7246*c**3 + 2*c Find the third derivative of -115*j*x*y**3 - j*x*y**2 + j*x + 4*y wrt y. -690*j*x What is the second derivative of -18*a*c**2*t**3 - 3*a*c**2 - a*c*t**3 + 166*a*t**3 - 78*c**4*t + c*t + 12*c wrt c? -36*a*t**3 - 6*a - 936*c**2*t Find the third derivative of 2*d**2*s**2*z**3 - 2*d**2*s**2 - 2*d**2*s*z**2 - 12*d*s**3*z**4 - d*s**3 - 3*s**2 wrt z. 12*d**2*s**2 - 288*d*s**3*z What is the second derivative of 21595*q**2*u + 10*q*u + 290*q + u + 1 wrt q? 43190*u Find the third derivative of 2319*n**4*o**3 - 27*n**2*o**3 - 137*o**3 wrt n. 55656*n*o**3 What is the third derivative of 2*r**4 + 51*r**3 - 2*r**2 + 1? 48*r + 306 What is the third derivative of -363*t**6 + 2*t**4 - 95*t**2? -43560*t**3 + 48*t Find the third derivative of 360*u**5 + 862*u**2. 21600*u**2 What is the third derivative of -137*c**3*n + 59*c**2*n - n wrt c? -822*n What is the first derivative of -32*g**2*v*x - 2*g**2*v + 3*g**2 - 2*g*x + v*x - 11*v - 4*x - 7 wrt g? -64*g*v*x - 4*g*v + 6*g - 2*x What is the derivative of a*h*m**3*n - 2*a*h*m - 800*a*m*n + h*m**3*n + 607*h*m**3 wrt a? h*m**3*n - 2*h*m - 800*m*n What is the third derivative of 84*m**3*u**2 - m**2*u**2 - 3*m**2*u - 8*m*u**2 wrt m? 504*u**2 Differentiate 4349*w - 1269 wrt w. 4349 What is the second derivative of -522*f**3 - 450*f wrt f? -3132*f Find the second derivative of 20*f**3*g**2*n**2 + 3*f**3*g**2*n + 3*f**3*g*n**2 - 3*f**2*g**2 + 4*f*g**2*n + 3*f*n**2 + 9*g wrt n. 40*f**3*g**2 + 6*f**3*g + 6*f What is the first derivative of 1391*p*y + 138*p + 3*y + 68 wrt y? 1391*p + 3 Differentiate 208*b**3 + 164. 624*b**2 What is the derivative of 6*m**2*q**2 - 3*m**2*q + 398*m**2 + 5*q wrt q? 12*m**2*q - 3*m**2 + 5 Find the third derivative of -139*t**5 - 2*t**4 - 13*t**3 + 24*t**2 + 8*t + 3 wrt t. -8340*t**2 - 48*t - 78 Differentiate -d*s - 2*d*y - 14*g**3*s*y + 4*g**3*y**2 - 2*g**3 - g*s*y**2 - 8*y**2 with respect to s. -d - 14*g**
{ "pile_set_name": "DM Mathematics" }
(j)). -4*j**4 Let i(o) = 4*o - 8. Let c(m) = -m**2. Give c(i(f)). -16*f**2 + 64*f - 64 Let g(k) = -2*k**2. Let h(j) = -j**3 + 8*j**2 - 7*j. Let y be h(6). Let r(o) = -30 + o**2 + y. Determine r(g(l)). 4*l**4 Let a(x) = -6*x**2 + 3*x. Let g(y) = 9*y**2. Give g(a(t)). 324*t**4 - 324*t**3 + 81*t**2 Let i(u) be the first derivative of u**3 - 7. Let l(y) = -3*y. Give l(i(h)). -9*h**2 Let r(v) = 1326*v**2. Let k(f) = f. What is r(k(t))? 1326*t**2 Let g(k) = -k**2. Let r(u) = -1 + 5 + 2 - 5. Let o(w) = -w**2 + 0*w**2 + 6 + 0. Let f(i) = o(i) - 6*r(i). Determine f(g(a)). -a**4 Let g(o) = 7 - 14 + 7 - 2*o. Let v(l) = -14*l. Give v(g(b)). 28*b Let y(m) = 9*m. Let f(h) = -1. Let o(l) = -2*l - 2. Let p(q) = -2*f(q) + o(q). Determine y(p(k)). -18*k Let d(p) = -p. Let v(r) = -8*r + 1. Let q be v(-1). Suppose 3*l + q = 0, 5*x + 0*x + 4*l + 2 = 0. Let w(s) = s**2 - s**x + s**2. Calculate d(w(a)). -a**2 Let x(r) be the third derivative of r**4/12 + r**2. Let o(q) = 16*q - 17. Let m(a) = 2*a + 0 - 2 + 0. Let v(g) = 51*m(g) - 6*o(g). Calculate v(x(z)). 12*z Let q(g) = 6*g. Let y(c) = -5*c - 7. Let r(t) = -6 - 6*t + t + t. Let p(m) = -7*r(m) + 6*y(m). What is p(q(o))? -12*o Let h(l) be the third derivative of l**4/24 - 3*l**2. Let y(j) = -3*j + 3*j - j. What is h(y(m))? -m Let m(j) = 3*j + 4. Let b(t) = -t - 1. Let s(g) = 4*b(g) + m(g). Let p(o) be the first derivative of -o**3/3 + 2. Calculate p(s(h)). -h**2 Let z(l) = l. Let o(a) = -a - 13*a - 3*a. Give o(z(h)). -17*h Let i(o) be the first derivative of o**2/2 + 16. Let k(m) = 4*m. Calculate k(i(c)). 4*c Let n(i) = 3*i + 3 - 3*i + i**2. Let v(b) = -b + 11. Let q be v(8). Let p(r) = 3*r**2 + 5. Let o(y) = q*p(y) - 5*n(y). Let j(a) = 2*a**2. Determine j(o(f)). 32*f**4 Let x(z) be the third derivative of 7*z**4/12 + 8*z**2. Let k(t) = 2*t. Determine k(x(p)). 28*p Let m(x) = 9*x**2. Let j(k) = -13*k. Give j(m(l)). -117*l**2 Let j(c) = c**2 - 9*c - 8. Let x be j(10). Let d(o) be the second derivative of 0*o**2 + x*o + 1/6*o**3 + 0. Let z(t) = -2*t**2. What is d(z(h))? -2*h**2 Let n(g) = -134*g**2. Let q(k) = k**2. Determine n(q(z)). -134*z**4 Let l(p) be the second derivative of 0 - 1/12*p**4 - 2*p + 0*p**3 + 0*p**2. Let q(s) be the first derivative of s**2 + 2. Determine l(q(o)). -4*o**2 Let d(s) = 5*s. Let u(c) = -2*c**2 + 25*c. Calculate d(u(l)). -10*l**2 + 125*l Let y(o) = -35*o**2. Let r(u) be the first derivative of u**2/2 + 7. Give y(r(v)). -35*v**2 Let t(y) = -13*y - 3. Let j(l) = -64*l - 14. Let o(d) = 6*j(d) - 28*t(d). Let p(a) = -a. Determine o(p(c)). 20*c Let b(r) = -2*r**2. Let x(h) = 323*h. Calculate b(x(t)). -208658*t**2 Let r(k) = -164*k**2. Let d(v) = -3*v. Determine r(d(w)). -1476*w**2 Let y(l) = 4*l**2. Let k(u) be the third derivative of 13*u**5/60 + 25*u**2. Give y(k(j)). 676*j**4 Let n(f) be the second derivative of 0*f**4 + 0*f**3 - f + 0 + 1/30*f**5 + 3/2*f**2. Let m(o) be the first derivative of n(o). Let j(u) = u**2. Give m(j(d)). 2*d**4 Let s(i) be the second derivative of i**3/6 + 10*i - 1. Let b(t) = -9*t. Calculate b(s(z)). -9*z Let i(y) = 64*y**2. Let r(d) = -2*d**2. Determine i(r(x)). 256*x**4 Let f(q) = -18*q. Let d(t) be the third derivative of -t**5/30 + 21*t**2. Calculate f(d(u)). 36*u**2 Let n(s) = s. Let d(l) = -12*l - 10. Let u(a) = -a - 1. Let r(i) = -2*d(i) + 20*u(i). Calculate r(n(q)). 4*q Let c(m) = m**2. Let s(x) = -x**2. Let i(g) = -7*c(g) - 6*s(g). Let w(n) = -2*n. Calculate i(w(u)). -4*u**2 Let o(c) = 399*c - 2. Let r(d) = -d. Determine r(o(k)). -399*k + 2 Let v(w) be the third derivative of -w**5/120 + w**3/3 + 2*w**2. Let y(n) be the first derivative of v(n). Let s(t) = 3*t**2 + 0 + 0. Calculate s(y(d)). 3*d**2 Let h(y) = -14*y**2. Suppose -8*o = -10*o + 12. Let q(n) = -6*n - o*n**2 + 5*n**2 + 6*n. What is h(q(l))? -
{ "pile_set_name": "DM Mathematics" }
lacement from fpfpfpppffpp. Give prob of sequence ffff. 1/99 Two letters picked without replacement from zlzwzzzzzzzzzzzww. What is prob of sequence wl? 3/272 What is prob of sequence jj when two letters picked without replacement from {b: 2, j: 2, s: 11}? 1/105 Three letters picked without replacement from qlqququlqxkuh. Give prob of sequence llh. 1/858 Two letters picked without replacement from ohnto. What is prob of sequence ht? 1/20 Calculate prob of sequence olx when three letters picked without replacement from {o: 1, u: 1, x: 2, f: 1, l: 1, v: 1}. 1/105 What is prob of sequence xe when two letters picked without replacement from {x: 2, e: 1}? 1/3 Calculate prob of sequence xaf when three letters picked without replacement from {a: 1, f: 1, x: 1, m: 2}. 1/60 What is prob of sequence tg when two letters picked without replacement from {g: 14, t: 5}? 35/171 Two letters picked without replacement from llyylyyyyyllyy. What is prob of sequence ll? 10/91 Calculate prob of sequence te when two letters picked without replacement from {a: 7, c: 1, t: 2, o: 8, y: 1, e: 1}. 1/190 Three letters picked without replacement from {j: 2, k: 1, b: 1, o: 2, c: 4}. What is prob of sequence jcb? 1/90 Four letters picked without replacement from ddddd. What is prob of sequence dddd? 1 What is prob of sequence jl when two letters picked without replacement from ljhlhbhhjlhlhlhhll? 7/153 What is prob of sequence pnv when three letters picked without replacement from psssspvpppnsspp? 1/390 What is prob of sequence xxnv when four letters picked without replacement from {x: 5, v: 2, e: 2, n: 3}? 1/99 What is prob of sequence kkr when three letters picked without replacement from {v: 1, k: 3, z: 3, r: 5, n: 1, f: 2}? 1/91 What is prob of sequence oo when two letters picked without replacement from ofofoooooo? 28/45 Calculate prob of sequence iio when three letters picked without replacement from {i: 2, o: 6}. 1/28 Calculate prob of sequence mmff when four letters picked without replacement from {f: 9, m: 5}. 60/1001 Two letters picked without replacement from eeeeeeeeeeeeeeeteee. What is prob of sequence te? 1/19 Calculate prob of sequence oo when two letters picked without replacement from {o: 2, r: 1}. 1/3 Two letters picked without replacement from bdbqqqqbdqoqbqbbqqb. Give prob of sequence do. 1/171 Three letters picked without replacement from {i: 3, b: 4, e: 1, v: 3, o: 2, j: 2}. Give prob of sequence bvo. 4/455 Three letters picked without replacement from ztetmeezezevbmteee. What is prob of sequence emt? 1/102 What is prob of sequence nbbd when four letters picked without replacement from dnbdnxddbnbdbnddbb? 7/612 What is prob of sequence jjj when three letters picked without replacement from jjfbjbjb? 1/14 What is prob of sequence rng when three letters picked without replacement from ornrnrnnnnnnognnonno? 1/190 Calculate prob of sequence lllf when four letters picked without replacement from zzzzlzzlzfzfzzzzl. 1/4760 Two letters picked without replacement from jjjjjjjjjjjjjjjwjjjj. What is prob of sequence wj? 1/20 What is prob of sequence pg when two letters picked without replacement from {g: 3, p: 5, q: 1}? 5/24 What is prob of sequence bbb when three letters picked without replacement from {b: 4, v: 5, n: 3}? 1/55 What is prob of sequence tww when three letters picked without replacement from wiwwpwwppptwppwpw? 7/510 What is prob of sequence jocc when four letters picked without replacement from ojaobbaaoboccyojboa? 1/3876 Two letters picked without replacement from rnnknrrrnzwnrrznz. Give prob of sequence nk. 3/136 Calculate prob of sequence tpti when four letters picked without replacement from {i: 1, p: 4, z: 2, w: 1, t: 3}. 1/330 Calculate prob of sequence dzdd when four letters picked without replacement from {z: 4, d: 10}. 120/1001 Calculate prob of sequence ka when two letters picked without replacement from axk. 1/6 What is prob of sequence eeen when four letters picked without replacement from enennenn? 1/56 Three letters picked without replacement from ffcfhifhhdf. Give prob of sequence fdf. 2/99 What is prob of sequence ih when two letters picked without replacement from {l: 2, i: 2, h: 9}? 3/26 What is prob of sequence kkkh when four letters picked without replacement from {k: 3, n: 5, h: 1}? 1/504 Calculate prob of sequence ttad when four letters picked without replacement from {a: 1, t: 8, n: 2, d: 1, p: 4}. 1/780 Calculate prob of sequence vsts when four letters picked without replacement from {o: 1, t: 8, v: 2, s: 2, r: 1}. 4/3003 Four letters picked without replacement from {e: 4, u: 2, i: 2, f: 5, c: 1, z: 1}. Give prob of sequence uczu. 1/16380 What is prob of sequence ti when two letters picked without replacement from ttittmttittetmit? 1/8 Three letters picked without replacement from {u: 5, a: 9}. What is prob of sequence uau? 15/182 Four letters picked without replacement from {l: 1, o: 2, x: 1}. Give prob of sequence loxo. 1/12 What is prob of sequence py when two letters picked without replacement from njqynjpnypjpjnjp? 1/30 Calculate prob of sequence uzzz when four letters picked without replacement from fuffffuzzfzfu. 3/2860 Calculate prob of sequence cccc when four letters picked without replacement from rrrrcrccrcrccrcr. 1/52 Calculate prob of sequence hu when two letters picked without replacement from shcstuy. 1/42 Three letters picked without replacement from {w: 3, q: 9, x: 2, p: 5}. Give prob of sequence wpx. 5/969 Two letters picked without replacement from {i: 2, z: 5, f: 2}. Give prob of sequence fz. 5/36 Calculate prob of sequence eeeh when four letters picked without replacement from hhhehhehhhhrehhhh. 13/9520 Two letters picked without replacement from {x: 9, d: 10}. Give prob of sequence xd. 5/19 What is prob of sequence ii when two letters picked without replacement from {i: 4, d: 14}? 2/51 Calculate prob of sequence kpp when three letters picked without replacement from {g: 1, k: 5, r: 1, h: 6, p: 2, b: 1}. 1/336 Two letters picked without replacement from {r: 1, z: 3, s: 1, i: 1, e: 1}. Give prob of sequence sz. 1/14 Two letters picked without replacement from naqassm. Give prob of sequence na. 1/21 Four letters picked without replacement from ipiitttvptttvvpq. Give prob of sequence tqqq. 0 What is prob of sequence ww when two letters picked without replacement from {t: 1, a: 1, w: 2, j: 1}? 1/10 Three letters picked without replacement from dutsudnundusuddn. Give prob of sequence tss. 1/1680 Calculate prob of sequence fkfk when four letters picked without replacement from {f: 7, k: 9}. 9/130 Calculate prob of sequence fe when two letters picked without replacement from {f: 5, o: 2, b: 2, m: 2, e: 2}. 5/78 Two letters picked without replacement from hbibhhizzhizh. What is prob of sequence hz? 5/52 Four letters picked without replacement from elelwwll. What is prob of sequence leel
{ "pile_set_name": "DM Mathematics" }
8 (e) 9 a Which is the third smallest value? (a) -3 (b) 7 (c) 295 c What is the biggest value in -0.1, 0.3, -4/9, -6/7, -0.14, 2? 2 What is the smallest value in 1.463, -2, -0.39? -2 What is the third smallest value in 17, -11/65, 6? 17 Which is the biggest value? (a) 1 (b) 2 (c) -0.3 (d) -10 (e) -0.01 b What is the biggest value in -2/3, -2/5, 0.032, -5? 0.032 What is the fifth smallest value in -3/5, -1, -12, -1.41, -7? -3/5 What is the second smallest value in -4/5, 4, -2/5, 133, 3/10? -2/5 Which is the biggest value? (a) 0 (b) 0.5 (c) -9152 b What is the second biggest value in -1/2, -1/3, 9477? -1/3 What is the second biggest value in 2/3, -1, 1, 0.8, -0.2, -515? 0.8 What is the second biggest value in -3/8, -1041, 47? -3/8 Which is the biggest value? (a) 1/2 (b) -315/2 (c) 7 (d) 5 c What is the biggest value in -1.1, -3/4, 7/122, 3? 3 What is the third biggest value in 6/13, -5/4, 1/4, -31.7? -5/4 What is the smallest value in 1, 62, -4, -324, -0.4? -324 What is the fourth biggest value in 1/11, -21, 4, -16.7, -4? -16.7 Which is the smallest value? (a) -2 (b) -5 (c) -29143 c What is the third biggest value in 2, 10/7, 149? 10/7 Which is the third biggest value? (a) -1 (b) 1131 (c) 5 a What is the smallest value in -5/8, -1.2, 2/247? -1.2 What is the third smallest value in 2, 20513, 28, -2, 0.3? 2 Which is the smallest value? (a) 2/7 (b) -8 (c) 3 (d) 0 (e) -6/11 b What is the fifth biggest value in -3, -2, 2/3, -21, 20, 4? -3 What is the third biggest value in -97, 0.84, -9/2? -97 What is the fifth smallest value in -0.4, 1/3, 0, -6/5, -1, 129? 1/3 What is the biggest value in 1968, 7, 3, 0.04? 1968 What is the smallest value in 5, 2/9, -508, 2, -1? -508 What is the fifth biggest value in -1/5, 0.28, -1/13, 4, 1? -1/5 What is the second biggest value in 0.18, 7, 169? 7 What is the third smallest value in 4746, 4/3, 4? 4746 Which is the third smallest value? (a) 125 (b) -3 (c) -62 a Which is the second biggest value? (a) 2/13 (b) -20 (c) -1 (d) 2/5 a Which is the second biggest value? (a) 2 (b) -0.4 (c) -5 (d) -12381 b Which is the third biggest value? (a) 1 (b) 16174/15 (c) -2 c Which is the smallest value? (a) -3/868 (b) -5 (c) -1/7 (d) 1 (e) -3/7 b What is the fourth smallest value in -1, 0.89, -3/5, -19/4? 0.89 Which is the third biggest value? (a) -0.1 (b) 2/11 (c) -114 (d) 0.3 (e) -30 a What is the biggest value in 0.03, 0, 189, 21? 189 What is the third biggest value in -5, -2/986605, -0.3? -5 Which is the fourth smallest value? (a) -2/3 (b) -10.7 (c) -3/317 (d) 5 (e) -0.2 c What is the fourth smallest value in -1, -2/143, 2/5, 0.1, -1/22? 0.1 Which is the second smallest value? (a) 144160 (b) -0.5 (c) 0 (d) -5 b Which is the smallest value? (a) 2 (b) 0 (c) -12972 c Which is the smallest value? (a) -44/37 (b) -6 (c) 0.07 b What is the sixth smallest value in -6, 0.4, 4, 7, 3/4, 120? 120 What is the second biggest value in 2, -5, -1/2, 5, -0.0769, -1/4? 2 What is the fourth biggest value in -0.1, -5, 2, 1, -66/53? -66/53 Which is the third smallest value? (a) 1/5 (b) 5 (c) 1033 (d) 0 (e) -3/2 (f) -1/2 d What is the fourth smallest value in -31, -2/15, -46, -3/8, 2/9? -2/15 Which is the smallest value? (a) 0.3 (b) -2 (c) -70.8 (d) -3 (e) -0.5 (f) 2 c What is the third smallest value in -2.163, -1/3, -49? -1/3 Which is the sixth smallest value? (a) -0.2 (b) 2/65 (c) -2/13 (d) -2/5 (e) 2/5 (f) 2/17 e Which is the second smallest value? (a) -46 (b) 0.05 (c) 1/6 b What is the second biggest value in 54, 3/4, 0, 74? 54 Which is the fourth smallest value? (a) -58 (b) -617 (c) -1/3 (d) -0.07 d What is the fourth biggest value in -1067, 5, -4, 1, 0.5? -4 What is the second smallest value in -3, 5, 114, 0.2, 19, -8/3? -8/3 Which is the third biggest value? (a) -0.4 (b) -508.3 (c) 5 b Which is the third biggest value? (a) -6 (b) 13/16 (c) -4 (d) 4/9 c Which is the fourth biggest value? (a) 0.5 (b) 4 (c) -449 (d) -2/9 c Which is the biggest value? (a) -1/6 (b) -4 (c) -42 (d) -67 (e) -1 (f) -0.4 a What is the biggest value in 171793, 3, -0.2, 2/9? 171793 Which is the fourth smallest value? (a) -0.3 (b) -2/7 (c) 13/3 (d) 0 (e) -1 d Which is the sixth biggest value? (a) -3 (b) -5/3 (c) 1/51 (d) 1/5 (e) -62 (f) 3 e What is the fifth smallest value in 277
{ "pile_set_name": "DM Mathematics" }
are there between 10:47 AM and 1:25 PM? 158 How many minutes are there between 11:53 PM and 11:11 AM? 678 What is 181 minutes after 2:03 AM? 5:04 AM How many minutes are there between 9:42 AM and 5:58 PM? 496 What is 144 minutes after 4:29 PM? 6:53 PM How many minutes are there between 7:21 PM and 5:20 AM? 599 What is 643 minutes before 7:55 AM? 9:12 PM What is 89 minutes after 9:29 AM? 10:58 AM What is 526 minutes after 2:51 PM? 11:37 PM How many minutes are there between 5:37 AM and 2:00 PM? 503 What is 142 minutes before 2:07 PM? 11:45 AM How many minutes are there between 5:21 AM and 8:32 AM? 191 What is 141 minutes after 3:07 AM? 5:28 AM How many minutes are there between 2:14 PM and 1:36 AM? 682 What is 374 minutes after 9:39 AM? 3:53 PM How many minutes are there between 8:09 AM and 12:34 PM? 265 How many minutes are there between 7:41 AM and 11:38 AM? 237 What is 191 minutes after 11:13 AM? 2:24 PM What is 295 minutes after 2:31 PM? 7:26 PM How many minutes are there between 4:05 AM and 3:24 PM? 679 What is 568 minutes after 2:13 PM? 11:41 PM How many minutes are there between 1:36 AM and 4:12 AM? 156 How many minutes are there between 12:54 AM and 5:28 AM? 274 What is 44 minutes before 9:11 PM? 8:27 PM What is 578 minutes after 2:14 PM? 11:52 PM What is 309 minutes before 7:01 AM? 1:52 AM How many minutes are there between 6:16 AM and 10:40 AM? 264 What is 462 minutes after 10:21 PM? 6:03 AM How many minutes are there between 1:10 AM and 1:09 PM? 719 How many minutes are there between 5:05 AM and 12:04 PM? 419 What is 387 minutes before 2:31 PM? 8:04 AM How many minutes are there between 7:53 AM and 8:13 AM? 20 How many minutes are there between 4:35 PM and 9:33 PM? 298 What is 543 minutes before 10:52 PM? 1:49 PM What is 305 minutes before 4:40 PM? 11:35 AM What is 296 minutes before 3:17 AM? 10:21 PM What is 704 minutes before 9:30 AM? 9:46 PM How many minutes are there between 3:25 PM and 11:17 PM? 472 How many minutes are there between 2:26 AM and 10:38 AM? 492 What is 404 minutes before 5:21 PM? 10:37 AM What is 304 minutes before 6:42 PM? 1:38 PM How many minutes are there between 2:50 AM and 9:03 AM? 373 What is 538 minutes before 12:37 PM? 3:39 AM How many minutes are there between 4:11 AM and 3:44 PM? 693 What is 266 minutes after 12:09 PM? 4:35 PM What is 181 minutes before 2:55 PM? 11:54 AM What is 524 minutes before 3:48 AM? 7:04 PM How many minutes are there between 3:08 PM and 3:49 PM? 41 How many minutes are there between 7:51 AM and 12:00 PM? 249 What is 283 minutes before 7:21 PM? 2:38 PM How many minutes are there between 2:24 PM and 4:58 PM? 154 What is 463 minutes before 4:59 AM? 9:16 PM How many minutes are there between 2:56 AM and 6:59 AM? 243 How many minutes are there between 1:24 AM and 1:19 PM? 715 What is 676 minutes before 6:10 AM? 6:54 PM What is 2 minutes before 10:23 AM? 10:21 AM How many minutes are there between 3:05 AM and 6:32 AM? 207 How many minutes are there between 12:47 PM and 3:52 PM? 185 How many minutes are there between 8:07 PM and 12:11 AM? 244 What is 547 minutes before 2:25 AM? 5:18 PM How many minutes are there between 12:16 PM and 5:29 PM? 313 How many minutes are there between 3:57 AM and 11:36 AM? 459 What is 620 minutes before 12:48 AM? 2:28 PM What is 481 minutes before 2:04 AM? 6:03 PM What is 148 minutes before 11:35 PM? 9:07 PM What is 266 minutes after 1:01 AM? 5:27 AM How many minutes are there between 1:50 AM and 8:29 AM? 399 How many minutes are there between 6:38 AM and 3:51 PM? 553 How many minutes are there between 6:26 AM and 7:07 AM? 41 How many minutes are there between 8:42 AM and 11:35 AM? 173 What is 690 minutes before 4:24 PM? 4:54 AM How many minutes are there between 7:28 PM and 12:02 AM? 274 What is 620 minutes before 10:02 PM? 11:42 AM What is 669 minutes after 2:02 AM? 1:11 PM How many minutes are there between 1:26 PM and 10:03 PM? 517 How many minutes are there between 7:37 AM and 3:01 PM? 444 How many minutes are there between 1:12 PM and 8:48 PM? 456 What is 315 minutes after 11:39 PM? 4:54 AM How many minutes are there between 2:15 AM and 9:16 AM? 421 How many minutes are there between 11:30 PM and 10:52 AM? 682 How many minutes are there between 9:04 PM and 7:29 AM? 625 How many minutes are there between 7:51 AM and 10:06 AM? 135 How many minutes are there between 10:15 AM and 7:03 PM? 528 How many minutes are there between 11:30 PM and 1:27 AM? 117 How many minutes are there between 11:13 PM and 2:28 AM? 195 What is 693 minutes after 2:57 AM? 2:30 PM What is 663 minutes before 7:56 PM? 8:53 AM What is 496 minutes before 9:38 AM? 1:22 AM What is 310 minutes before 12:33 PM? 7:23 AM What is 463 minutes before 4:23 AM? 8:40 PM How many minutes are there between 3:33 AM and 1:30 PM? 597 What is 612 minutes after 4:44 AM? 2:56 PM How many minutes are there between 4:08 AM and 5:04 AM? 56 What is 572 minutes after 1:56 PM? 11:28 PM How many minutes are there between 8:43 AM and 2:24 PM? 341 What is 110 minutes after 3:04 AM? 4:54 AM How many minutes are there between 3:37 AM and 6:43 AM? 186 How many minutes are there between 6:16 AM and 2:24 PM? 488 How many minutes are there between 11:18 AM and 5:49 PM? 391 What is 52 minutes before 1:45 AM? 12:53 AM What is 11 minutes before 2:49 AM? 2:38 AM How many minutes are there between 11:22 PM and 1:09 AM? 107 How many minutes are there between 10:15 AM and 9:43 PM? 688 What is 144 minutes after 7:37 PM? 10:01 PM How many minutes are there between 10:52 AM and 2:43 PM? 231 What is 691 minutes before 12:12 AM? 12:41 PM How many minutes are there between 9:25 AM and 12:48 PM? 203 How many minutes are there between 12:08 PM and 9:44 PM? 576 How many minutes are there between 11:43 AM and 10:26 PM? 643 What is 520 minutes before 1:50 AM? 5:10 PM How many minutes are there between 3:49 AM and 9:21 AM? 332 How many minutes are there between 9:56 AM and 3:49 PM? 353 What is 681 minutes before 4:33 PM? 5:12 AM How many minutes are there between 1:28 PM and 9:20 PM? 472 How many minutes are there between 12:04 AM and 5:31 AM? 327 How many minutes are there between 7:54 PM and 8:29
{ "pile_set_name": "DM Mathematics" }
m (b) -3 (c) q (d) -4/3 a Let h be ((-1)/2)/((-10)/5). Let t = 20 + -24. Let r = -3 - t. What is the biggest value in -1/3, r, h? r Let h = 0.8 + -0.3. Let r = -1.5 + h. Which is the third biggest value? (a) r (b) -1/5 (c) -0.3 a Let i = 688 + -2062/3. What is the second smallest value in -23, -4, i, 0.3? -4 Let o be 1214/(-16)*10/10. Let p = o + 76. What is the third smallest value in 0, p, -1, -0.3? 0 Let c = -16.8 - -16.3. Let n = -3 + 4. What is the second smallest value in n, 3, c? n Let p = -0.3 - -0.32. Let h = 2/27357 - 18248/136785. Let j = -0.7 - 0.3. What is the second smallest value in p, h, j? h Let q = -7.3 - -7.2. Let i be 4 + (-20)/8 + (3 - 2). Which is the second biggest value? (a) -5/4 (b) i (c) 0 (d) q c Let l = -2012.5 + 2012. What is the biggest value in 7, l, -2/7, -0.03? 7 Let m be (-1)/(-2)*22/33. What is the biggest value in -2, m, 5? 5 Suppose -13*g + 5680 = 1585. What is the third biggest value in -5, g, -5/4? -5 Let x = -241/68 + 56/17. What is the biggest value in 1, -0.12, x? 1 Let p(t) = -t**3 - 11*t**2 + 14*t + 27. Let n be p(-12). Let w = 0.16 - 6.16. Let m = w - -1. Which is the third smallest value? (a) m (b) 1 (c) n c Let f(x) = -x**3 + 3*x**2 + 2*x + 6. Let r be f(4). Let z be ((-4)/18)/(1/(-3)). Which is the fourth smallest value? (a) z (b) 0.1 (c) 0.5 (d) r a Let z = 3.16 - 2.86. Which is the second smallest value? (a) 0.2 (b) -3/13 (c) z a Suppose 0 = -3*d - 0 + 6. Let f = 2760 - 2760.5. What is the smallest value in 4/7, d, f, -2? -2 Let h = -165 - -164.93. Let n = -0.7 + -0.3. Which is the second smallest value? (a) n (b) h (c) 0.2 (d) -2/9 d Let p = -230.58 + 230.65. Let g(q) = q**2 - 3*q + 1. Let w be g(2). Which is the smallest value? (a) w (b) 4/7 (c) p a Let r = 87 + -87. Let l be (-2)/(-3)*54/(-24). Which is the smallest value? (a) l (b) 2/7 (c) r a Let t = -1.07 - -6.07. Which is the second smallest value? (a) 2 (b) 36 (c) t (d) 1/4 a Let f = -0.124 - -0.524. Let y = -18/137 - 2960/411. Let o = 7 + y. What is the second smallest value in f, o, 0? 0 Let i = 0.098 - -0.122. Let u = -11/168 - -4/21. Which is the second biggest value? (a) i (b) -0.4 (c) u c Let r = 553 - 570. Let z(l) = -18*l + 16*l**2 - 11 + 4 + l**3 - 2. Let t be z(r). Which is the smallest value? (a) -5 (b) 5/3 (c) t a Let m = 6 + -5.8. Let i = -0.64 - -0.04. Let s = i + 0.3. What is the third biggest value in s, m, 0.01? s Let m be 3144/10*(-800)/(-24). Let q be (-2)/(-3) + m/30. Let i be 170/q - 2/7. What is the biggest value in 3/5, i, -3/2? 3/5 Let l = 1624 + -1623.5. What is the biggest value in l, 2/7, -0.2, 0.4? l Let s = 4 - 20. Let l = -10 - s. Let m = -0.8 + 1.1. What is the second smallest value in -1, m, l? m Let o be -7 + (304/20)/2. What is the smallest value in 1, 7, o, 0.2? 0.2 Let v = 8.5 + -26.5. Let s = -17.98 - v. What is the third biggest value in -2/11, -4, -0.8, s? -0.8 Let x = -26879/7 + 3821. Let k = -783/7 + 912/7. Let f = x + k. Which is the third smallest value? (a) -8 (b) -4/7 (c) f c Let x = 22 - 6. Let h = 288 - 272.3. Let y = x - h. Which is the biggest value? (a) 3/7 (b) y (c) 3 c Let t = 0.01 + 1.59. Let u = t + -1.3. What is the second smallest value in -4/5, u, 4? u Let v = -13 - -8. Let w = 0.6339 + 0.2661. Which is the third smallest value? (a) w (b) -2 (c) v a Let n = -10.8 + 10. Let o = n + 0.76. Let l be (2/40)/((-36)/90). What is the second smallest value in o, l, 3/7? o Let m = -4.91 - 0.09. Let n = 10 - 7. Let t = n + 1. What is the second biggest value in m, t, -0.5? -0.5 Let o be 67 + -69 + ((-1)/1)/(-1). What is the biggest value in 2, 5, o, 739? 739 Suppose -3*d + 5*v - 1 = 0, 4*d + 13 = -6*v + v. Which is the second biggest value? (a) d (b) -11/3 (c) 1 a Let n be (6 - (-888)/(-150)) + (-16)/75. Suppose 0 = -4*p - z - 14, -3*z = 5*p + z + 23. Which is the second biggest value? (a) -1/3 (b) n (c) p a Let r = -163.3 + 163. Which is the third smallest value? (a) r (b) -2/3 (c) 9 (d) 0.4 d Suppose 7*p = 22 + 34. Let h = p + -11. Let r = 2.3 - 1.8. Which is the third smallest value? (a) h (b) r (c) 0.4 b Let q be 6 - (-20)/(-4 + -1). Suppose -2*i + q*h = -6, 5*i = 2*h + 7 + 5. Suppose -w = w + 2. What is the third biggest value in i, 0.2, w? w Let x = 36.083 + -0.083. Let g = x + -40. Which is the second smallest value? (a) -3 (b) 1 (c) g a Let a be (29/(-203))/((-2)/(-8)). What is the third biggest value in 4
{ "pile_set_name": "DM Mathematics" }
6? -140040521 What is 27874a2 (base 13) in base 12? 4228314 Convert 1101100001000101 (base 2) to base 3. 2210221120 -10220101000 (base 3) to base 9 -126330 What is -1606145 (base 7) in base 4? -311313113 3532635 (base 10) to base 2 1101011110011101011011 10a7705 (base 13) to base 10 5128986 What is 20550215 (base 7) in base 6? 101210312 3403562 (base 8) to base 3 1201201012020 What is -2163820 (base 9) in base 13? -319b60 Convert -133270 (base 11) to base 2. -110011000110000110 26011540 (base 7) to base 6 122255221 What is 100111100100010010 (base 2) in base 4? 213210102 Convert ce49 (base 15) to base 4. 22223013 514b04 (base 16) to base 14 9c97a4 What is 1214223104 (base 6) in base 8? 65070020 Convert -10134300231 (base 5) to base 7. -154634052 What is 7a4cd (base 14) in base 9? 502752 What is 2a1506 (base 13) in base 11? 644875 What is 18526404 (base 9) in base 2? 100011101010000111101110 What is 10070b7 (base 14) in base 10? 7548905 Convert -2751745 (base 8) to base 16. -bd3e5 What is 4633910 (base 12) in base 11? 7694a84 What is 97927 (base 12) in base 7? 1462141 What is 211415 (base 11) in base 2? 1010010101010001110 -110201214 (base 6) to base 10 -1975402 26079 (base 15) to base 12 5a466 1d40bc (base 15) to base 8 5353211 -21ba91 (base 14) to base 13 -311a08 -48b425 (base 13) to base 9 -3238734 1212002021 (base 3) to base 4 20322133 -87898 (base 14) to base 2 -1010000001000101110 What is 117a7 (base 12) in base 13? a984 -10675654 (base 8) to base 16 -237bac What is -70801 (base 10) in base 8? -212221 What is -39c81 (base 13) in base 3? -12110120210 What is 24113552 (base 6) in base 16? b8acc What is 341633 (base 16) in base 3? 20102102111222 -bcd5e (base 15) to base 11 -380099 369778 (base 13) to base 10 1306300 Convert 6665a (base 12) to base 7. 1103452 816303 (base 10) to base 7 6636615 -213116 (base 14) to base 4 -10102003100 What is -7380705 (base 9) in base 12? -13a6072 Convert 78bc8 (base 14) to base 4. 1013211030 What is -249d1c (base 14) in base 9? -2324632 Convert 13300236 (base 8) to base 11. 1757501 Convert 848811 (base 14) to base 15. 5d752b Convert 5638140 (base 9) to base 7. 34546416 Convert -3bb84 (base 13) to base 7. -643666 655583 (base 11) to base 15 15a2ac What is -11112133 (base 5) in base 11? -67523 Convert -21211064 (base 8) to base 9. -8458344 What is -32280480 (base 9) in base 2? -111011011100011000110011 -1001011101000100101 (base 2) to base 4 -1023220211 What is 3051423 (base 6) in base 12? 70b73 7780c0 (base 14) to base 11 2320201 Convert -623227 (base 10) to base 5. -124420402 What is -110110000001110001001 (base 2) in base 3? -10022221111112 480462 (base 9) to base 16 46928 -5c4a86 (base 13) to base 4 -20123133321 2245116 (base 7) to base 13 9a770 Convert -2111002102122 (base 3) to base 12. -538245 What is -147257 (base 9) in base 10? -90610 What is 5dc28 (base 15) in base 5? 34042423 What is -14532223 (base 6) in base 11? -319068 74819 (base 11) to base 4 122203333 What is -34313122 (base 5) in base 12? -1299b3 Convert -5668a (base 15) to base 3. -111222000211 What is 15026 (base 13) in base 9? 60255 -2002212201012 (base 3) to base 16 -11152d -273990 (base 12) to base 2 -10011110100010111100 Convert -cda85e (base 15) to base 5. -10002300024 Convert 702305 (base 9) to base 11. 263918 What is -206b25 (base 14) in base 15? -169386 -23201133 (base 4) to base 9 -71663 Convert 73ddc1 (base 14) to base 2. 1110111100101001000101 203553404 (base 6) to base 11 2001751 Convert 7844314 (base 9) to base 10. 4221895 What is 2305285 (base 11) in base 3? 21120220121012 -345a390 (base 12) to base 4 -212123222130 What is -1a99b (base 13) in base 16? -cbd4 What is 353550 (base 7) in base 8? 174367 What is 3572405 (base 9) in base 7? 22316024 Convert 534b8 (base 12) to base 15. 22705 What is -212212121020021 (base 3) in base 5? -11222001220 What is 2243025 (base 6) in base 14? 2db3b Convert 555313 (base 8) to base 6. 4002043 Convert -957016 (base 12) to base 4. -20333001102 What is -5a297 (base 16) in base 10? -369303 5716a (base 11) to base 3 11012110200 Convert -644023 (base 7) to base 11. -77029 7ef3f (base 16) to base 12 210b13 What is 3533 (base 14) in base 16? 2429 Convert 541312540 (base 6) to base 14. 13b8b36 Convert -1011101011011000111 (base 2) to base 6. -12111331 What is -111521455 (base 6) in base 3? -10212001102122 What is -18599 (base 10) in base 6? -222035 Convert 113203012 (base 6) to base 5. 1020200403 Convert -306452 (base 9) to base 8. -543204 Convert -3062226 (base 8) to base 5. -201442212 What is -29a6a (base 13) in base 6? -1404121 -9b50 (base 12) to base 16 -432c What is 1051325 (base 8) in base 15? 58e4e What is -181718 (base 12) in base 7? -3356063 What is -13148 (base 14) in base 5? -3000113 Convert -535403 (base 11) to base 4. -3101010000 Convert 32000030 (base 6) to base 7. 10634343 What is -22c21 (base 14) in base 4? -110223131 -45063 (base 9) to base 14 -acb0 Convert 1323311221 (base 4) to base
{ "pile_set_name": "DM Mathematics" }
Suppose 49 = 2*a + 21. Calculate the lowest common multiple of 176 and a. 1232 Let r(i) = i**3 + 4*i**2 + 4*i + 3. Let b be r(-3). Suppose -a - 3 = b, 2*o + 3*a + 33 = o. What is the common denominator of 41/11 and (-1)/4 + 194/o? 33 Calculate the common denominator of -83/8 and (-2)/(-28)*-4 - 180/(-1806). 344 Let m(u) = -44*u + 135. What is the smallest common multiple of 287 and m(1)? 3731 Let h = -1 + -20. Let b = -1/2731 + -237589/21848. Calculate the common denominator of (-14)/h + 194/(-84) and b. 56 Suppose 2*u - 11 + 7 = 0. Let g be 20*(u - 6/4). Calculate the lowest common multiple of 1*55*4/g and 20. 220 Let c = -74643/20 + 18691/5. Find the common denominator of -61/28 and c. 140 Let z(b) = b**3 + 6*b**2 + 4*b - 3. Let l be z(-5). Suppose v - 12 = 3*t - 0, -l*t - 36 = -3*v. Calculate the least common multiple of v and 22. 132 Let l = -2 - -5. Suppose 0 = -2*n + 2 + 4. Suppose -21 = -4*m + n. What is the lowest common multiple of l and m? 6 Let u = 9245333199/530 - 17444036. Let c = u + 21/53. Calculate the common denominator of c and 93/8. 40 Let d = -2259 + 13613/6. Let g be ((-14)/(-8))/(2 + (-105)/20). Let j = g - -105/26. Find the common denominator of j and d. 6 Let t = 594 + -543. Calculate the smallest common multiple of 2 and t. 102 Calculate the common denominator of -119/48 and (-1*280/(-16))/2. 48 Suppose 0*d - 2*d + 16 = 0. Let b(h) = -h**2 + 9*h - 4. Calculate the smallest common multiple of 14 and b(d). 28 Let c = 4 - 7. What is the common denominator of (24 - 4)*(2 + 115/(-60)) and (2/4)/((-1)/c)? 6 Calculate the least common multiple of 273 and (-1*4)/(136/(-510)). 1365 Find the common denominator of 5/3*(-27)/36 and 95/16. 16 Let p = -785 - -817. Calculate the least common multiple of p and 8. 32 Let s = 973 - 6843/7. What is the common denominator of -2/35 and s? 35 Let l(z) = -3*z - 3. Let p be l(-4). Let q(m) = m**2 - 8*m - 5. Calculate the lowest common multiple of q(p) and 14. 28 Let h(r) = 10*r**2 + 24*r + 17. Let g be h(13). Let s = 34337/17 - g. Calculate the common denominator of s and (117/(-12))/((-22)/8). 187 Find the common denominator of (-2*(-1)/99)/((-140)/(-13335)) and -71/12. 132 Suppose -53*a + 54*a - 2*y - 26 = 0, -4*y - 4 = 0. Calculate the smallest common multiple of 34 and a. 408 Let z = -246481/50 - -4929. Let o = 10081 - 181417/18. Find the common denominator of z and o. 450 Let v(w) = 2*w - 4. Let m be v(-2). Let c(g) = -5*g - 26. What is the lowest common multiple of -2 + (5 - (-1 - -2)) and c(m)? 14 Let o be (-2 - -4) + 1 + 8. Let f(m) = -m**2 + 10*m + 19. Suppose 24 = 4*d + 4*v, -5*d - 2 = -2*v - 4. Calculate the least common multiple of d and f(o). 8 Let u(a) be the third derivative of 0*a**3 + 0*a - 1/8*a**4 - 1/15*a**5 - 4*a**2 + 0 - 1/40*a**6. What is the smallest common multiple of 18 and u(-2)? 126 Let m(d) = 239*d**3 + 3*d - 2. Let b be m(1). What is the common denominator of (-1132)/b + ((-7)/4)/7 and -49/20? 60 Let i(b) = 2*b**3 + 2*b**2 - 1. Let f be i(-4). Calculate the common denominator of -110*((-63)/36 + 2) and f/(-20) - 12/16. 10 Let i(h) = 0*h - 34 + 32 - 38*h - 5*h. Let v be i(6). What is the common denominator of (v/351)/(2/(-12)) and 7/8? 72 Let q = -59 + 68. Suppose -9*u - 16 = -7*u. Let g(s) = -s**3 - 9*s**2 - 9*s - 4. Calculate the lowest common multiple of q and g(u). 36 Let m be (-2)/(-9)*-3 - (-100303)/18. Let r = m + -5579. Find the common denominator of -35/3 and r. 18 Let o = 5340 - 197538/37. Calculate the common denominator of 9/11 and o. 407 Let m = 4 + -12. Let w be (-30)/27*5862/m. Let a = 794 - w. Find the common denominator of -59/16 and a. 48 Calculate the common denominator of 287*(-4)/160 - (-2 - 3) and -9/32. 160 Suppose 5*r + 5*u + 15 = 0, -u - 23 = r + 4*u. Suppose -18 = -4*z - r, -3*c + 7 = -2*z. Find the common denominator of c/(-20) - (-194)/(-56) and 38/11. 77 Calculate the common denominator of (-22)/220*295/(-186) and -7/2. 372 Let d(p) = p - 13. Let j be d(17). Suppose -j*l - 4*m = -0*m - 20, -3*l = -5*m + 9. Calculate the least common multiple of 22 and l. 22 Suppose 22*t - 15 = 17*t. Suppose 0 + 1 = q + 5*h, 0 = t*q + 5*h - 33. Calculate the least common multiple of q and 8. 16 Suppose 14*r - 13*r = 20. Calculate the lowest common multiple of 8 and r. 40 Suppose 5927 = 36*u - 5089. Calculate the least common multiple of 4 and u. 612 Let d = 232 + -199. What is the least common multiple of 9 and d? 99 Let m = -3559 - -2451. Find the common denominator of (-3)/4 - m/48 and 3 - ((-466)/(-88) + 4/16). 33 Suppose 364 = 5*y - n, 236 = 92*y - 89*y - 5*n. Calculate the lowest common multiple of y and 88. 792 Suppose 7 = -y + 5*k + 26, -k = 2. What is the lowest common multiple of 6 and y? 18 Find the common denominator of -73/318 and 570/2400 + 1/5. 2544 Let t(a) = -a - 7. Let v be t(6). Suppose 0 = 2*o - 0*o - l - 35, 0 = -o - 3*l. Let d = v + o. Calculate the lowest common multiple of 16 and d. 16 Suppose 0 = 5*t - 404 + 154. Let k = -69/16 - 553/48. Calculate the common denominator of 176/t + (-10)/10 and k. 150 Let a = -49584 - -3272615/66. Find the common denominator of a and 52/27. 594 Let d = -75 - -141. What is the common denominator of (d/(-108))/((-6)/45) and 13/12? 12 Let g = 201 - 99. Let d = -96 + g. Calculate the least common multiple of 11 and d. 66 Let s = 344 - 340. What is the lowest common multiple of s and 9?
{ "pile_set_name": "DM Mathematics" }
**3 + 12. Let j(y) be the third derivative of h(y). Factor j(p). -4*(p - 2)*(p + 1)**3 Let t = 80 + -77. Let o(n) be the first derivative of 1/4*n**t + 0*n - 3/8*n**2 - 6. Factor o(s). 3*s*(s - 1)/4 Determine t so that 13*t**2 + 22*t**2 + 15*t + 2*t**3 + 42*t + 7*t + 31 = 0. -31/2, -1 Let r(a) be the second derivative of 3*a**5/20 - 19*a**4/4 + 35*a**3/2 - 51*a**2/2 + 386*a. Factor r(q). 3*(q - 17)*(q - 1)**2 Suppose 0 = -4*f - 5*h + 16 + 7, -f + 11 = 3*h. Factor 18*k - 2*k - k**4 + 24*k**f + 5*k**4 + 6 - 2 + 16*k**3. 4*(k + 1)**4 Suppose 72 = 48*s - 42*s. Let h be 4/10*s/8. Suppose 6/5*g + 3/5 + h*g**2 = 0. Calculate g. -1 Let w be (-259)/9 + 14 - -15. Suppose 0 - 4/9*n + 2/9*n**2 + w*n**3 = 0. Calculate n. -2, 0, 1 Let b(i) be the first derivative of 5 - 1/8*i**4 + 0*i - 1/4*i**2 + 1/3*i**3. Factor b(m). -m*(m - 1)**2/2 Let i = 89 - 265/3. Let h = i + 1/12. Factor -h*o**2 + 3/2 + 3/4*o. -3*(o - 2)*(o + 1)/4 Let a(h) = -147*h**3 + 3*h**2 - 2*h - 1. Let u be a(1). Let l = u + 149. Factor 8/3 + 1/3*g**3 + l*g**2 + 4*g. (g + 2)**3/3 Let p be (5/(-5))/(-2 + 3). Let o be (-9)/(-18)*(1 + p). Determine i, given that o*i**3 + 0*i + 3/5*i**2 - 3/5*i**4 + 0 = 0. -1, 0, 1 Suppose 6 = n - u - 0*u, 3*n + 4*u = 4. Let t(b) = -b**2 - 3*b + 2. Let f be t(-3). Find x such that -2*x**n + 6*x**4 - 6*x**4 - f*x**5 = 0. -1, 0 Let s = -78 + 81. Factor -4*v**s - v**2 + 296*v - 284*v - 7*v**2. -4*v*(v - 1)*(v + 3) Solve 0 + 2*x + 12/7*x**2 - 2/7*x**3 = 0. -1, 0, 7 Let k(m) be the first derivative of -m**4/28 + 3*m**3/7 + 3*m**2/2 + 17*m + 23. Let j(t) be the first derivative of k(t). Factor j(d). -3*(d - 7)*(d + 1)/7 Let j be ((1248/585)/((-4)/(-10)))/(12/2). Let -j + 4/9*m**2 + 4/9*m = 0. Calculate m. -2, 1 Let n(t) be the first derivative of -2*t**3/3 + 42*t**2 - 82*t - 453. Solve n(g) = 0. 1, 41 Suppose 26 = 2*r + 2*j, -3*r - j = -4*j - 51. Suppose -2*x - 10 = -4*x - 3*l, -5*l + r = 3*x. Factor -9 - 4*p - 2*p**2 - x*p + p**2 + 3*p. -(p + 3)**2 Find b, given that -13500/13*b**5 - 1530/13*b**3 + 9450/13*b**4 - 2/13*b + 0 + 94/13*b**2 = 0. 0, 1/15, 1/2 Let t(q) be the second derivative of -5*q**7/7 + 7*q**6/6 + 5*q**5/4 - 35*q**4/12 + 5*q**3/6 - 2*q + 30. Determine z so that t(z) = 0. -1, 0, 1/6, 1 Let b(m) be the second derivative of 1/2*m**3 + 1/16*m**4 + 0 + 9*m + 9/8*m**2. Factor b(l). 3*(l + 1)*(l + 3)/4 Suppose 0 + 66*d**3 + 3/2*d**5 + 36*d**4 + 0*d + 0*d**2 = 0. What is d? -22, -2, 0 Let s(q) be the third derivative of q**5/36 - 1085*q**4/72 - 160*q**2 - 2. Find o such that s(o) = 0. 0, 217 Let y(p) be the second derivative of -p**4/20 + 23*p**3/10 - 33*p**2/5 + 407*p. Factor y(z). -3*(z - 22)*(z - 1)/5 Let f(n) = -2*n**3 + 77*n**2 - 215*n + 8. Let q be f(3). Determine h, given that 6/5*h**4 + 0 + 4/5*h - q*h**2 - 8/5*h**3 = 0. -1, 0, 1/3, 2 Let j(u) be the first derivative of 7*u**3 - 3/2*u**2 - 45/4*u**4 + 39/5*u**5 - 2*u**6 - 4 + 0*u. Factor j(f). -3*f*(f - 1)**3*(4*f - 1) Let y(m) = m**3 - 26*m**2 + 19*m + 153. Let x be y(25). Let i(z) be the second derivative of 1/18*z**x - 1/36*z**4 + 0 + 1/3*z**2 + 12*z. Factor i(w). -(w - 2)*(w + 1)/3 Let a(l) be the third derivative of l**7/945 - 7*l**5/270 - l**4/18 + 12*l**2 + l. Factor a(m). 2*m*(m - 3)*(m + 1)*(m + 2)/9 Let f = -41689 + 83555/2. Solve 75/2*z**4 + 63/2*z - f*z**2 + 45/2*z**3 - 3 = 0 for z. -2, 1/5, 1 Let n(f) be the second derivative of 7/135*f**6 + 0 + 0*f**3 + 0*f**2 + 0*f**4 - 1/45*f**5 - 5/189*f**7 - 7*f. Factor n(q). -2*q**3*(q - 1)*(5*q - 2)/9 Let j(v) = -v**3 + v + 5. Let x be j(0). Suppose -2*d = c - 2*c - 7, -2*c = 2. Factor 6*a + 6*a**2 + 3*a**x - 6 + 2*a**3 + d*a - 8*a**3 - 6*a**3. 3*(a - 1)**3*(a + 1)*(a + 2) Let a be (11758/1680 + -7)*-1. Let k(d) be the third derivative of a*d**7 + 0 + 0*d + 6*d**2 + 1/120*d**5 + 0*d**4 + 0*d**3 + 1/160*d**6. Factor k(n). n**2*(n + 1)*(n + 2)/4 Let i(h) be the third derivative of -h**8/3360 - h**7/315 -
{ "pile_set_name": "DM Mathematics" }
s the value of 6 - (0 - (-3 + 2))? 5 What is 1 - -3 - ((-9 - 0) + 12)? 1 (0 - -3 - 4) + 4 3 Calculate -2 + (5 - 4 - 0). -1 Calculate -3 + (-9 - -1) + 20. 9 Evaluate (-5 - -4) + 0 + 3 + -2. 0 What is -4 + (10 - 0) + (-4 - 0)? 2 Evaluate 3 + 1 + -10 - 3. -9 Evaluate 7 + (4 - 4) + 12 + -14. 5 What is -3 + 6 - (1 - 4)? 6 108 + -103 + (-2 - -1) 4 Calculate 2 + (4 - 5 - 2). -1 What is (-5 + 0 - -4) + 3? 2 What is -5 + 1 - (1 + 2)? -7 What is 4 - (4 + -11 + 5)? 6 What is -6 - (-17 + 4) - 3? 4 Calculate (-19 - -15) + -2 + 2 - -2. -2 -2 - (0 + -6 + 6) -2 Evaluate (-13 - -3) + (6 - (-4 - -5)). -5 What is the value of 2 + (-13 - -1) + 5? -5 What is -6 + (-5 - -6) - -2? -3 Calculate -2 + -2 + 3 + 1. 0 Evaluate -5 - ((-5 - (3 + -3)) + 3). -3 Evaluate 0 + 4 + -6 + 6. 4 What is the value of 3 - (-3 - -3) - (-23 + 28)? -2 What is the value of (0 - (-9 + 4)) + -2 + -2? 1 What is the value of -1 + 1 + 3 + -13 - -2? -8 What is the value of -30 + 3 + 13 + 19? 5 What is 0 + 7 + (-9 - -5)? 3 (9 - (5 + -4)) + -10 + 6 4 Evaluate (0 - 8) + -10 + 21. 3 Evaluate -9 + 4 + (5 - 6). -6 Evaluate (-8 - (-7 + -1)) + -5. -5 What is -5 + (2 - -2) + 5 - 7? -3 5 - (0 + (-6 - -3) - -5) 3 Calculate 0 + 2 + -1 + (6 - 6). 1 What is the value of -4 + (-4 - -6) - -2? 0 -14 + 3 + (3 - -5) -3 0 + (-2 - -3) + -4 + -3 -6 Calculate -6 + (9 - 4) - (2 - 1). -2 What is the value of 3 + -13 + 5 - -3? -2 What is the value of 5 - 9 - (-4 + -1)? 1 Evaluate -6 + (4 - 3) + 0. -5 -2 + (6 - 0) + -2 2 (16 - 0) + -10 - -2 8 What is the value of 0 + (0 - -4 - 0)? 4 Calculate 1 - (-3 - -4) - (-1 + -4). 5 Evaluate -18 - (-7 + -11 + 10). -10 What is 18 - 20 - (2 - (-2 - -9))? 3 Calculate -2 + (5 - (0 - (-4 - -1))). 0 Calculate 4 + (-6 + -1 - (0 + -2)). -1 Calculate -9 + (-2 - (-9 - 0)). -2 Evaluate 4 - -1 - ((8 - 6) + -3). 6 What is (0 - 0) + -1 + 1 + 1? 1 23 + -18 - (7 - -2) -4 Evaluate -6 + (6 - 1 - (6 - 4)). -3 Calculate -4 + 1 - -4 - (-3 + 6). -2 What is the value of (2 - 3) + (3 + 1 - -4)? 7 What is 6 + 7 + 1 + -16? -2 What is 0 - (3 + -2 + 2 + 0)? -3 Calculate (-2 - (-10 - 3)) + -7. 4 Calculate -4 - ((-6 - -10) + (-2 - 4)). -2 What is the value of -8 + 0 + (7 - 4) + 5? 0 Calculate -8 - (1 + -1) - -14. 6 Calculate 9 - -3 - (-8 - -19). 1 What is 8 - (6 + -3) - (36 - 30)? -1 What is -20 - -6 - -4 - -4? -6 What is the value of (4 - (-1 + 5)) + 0? 0 2 + 9 - (63 - 57) 5 What is 3 + 3 + -9 - -2? -1 1 + 0 + (4 - 0) - 1 4 What is the value of -13 - (-6 - (-2 - -5 - 3))? -7 Evaluate (-7 + 1 - (8 - 11)) + 1. -2 Calculate -1 + (7 + 8 + -3 - 2). 9 (-2 - -18) + -9 + (-4 - 1) 2 -5 - (-5 - 1) - 2 -1 Evaluate -3 + 6 + (3 - 1). 5 What is 2 - (0 - 2 - (-5 + 0))? -1 Evaluate (0 - 4 - (0 + -3)) + 1. 0 What is the value of (6 + -1 - 4) + -4? -3 Evaluate 6 - (3 + 7 + -3). -1 What is -2 + 2 + 11 - 2? 9 Calculate 9 - 10 - (-2 - -5). -4 What is the value of -4 + 9 - (4 + 4 + 4)? -7 Evaluate 14 + -10 - (2 - -4). -2 Calculate -1 - (-5 - -6) - -1. -1 Calculate -4 - 0 - (7 + -12). 1 What is the value of 4 + 2 + (7 - (-13 - -20))? 6 -4 - 7 - -5 - (0 - 6) 0 3 - (-5 + 4 + 3) 1 Evaluate -3 + -4 + 3 + 0 - 2. -6 Calculate 2 + 2 - (-3 - (-11 - -7)). 3 What is the value of -4 - (1 + 0 + (-9 - -9))? -5 Evaluate -7 + -4 + (7 - -5). 1 Evaluate (-10 - (12 + -20)) + (-4 - 1). -7 What is -4 + 4 + 2 - (-4 + 4)? 2 1 + (-5 - (-10 - -2)) 4 (24 - 10) + -11 + 3 6 What is -1 + (1 + -3 - -2) + -2? -3 What is the value of 0 - -5 - (18 - (-4 - -11))? -6 Evaluate 2 + (0 - 1) + -4. -3 Calculate -4 - (-19 + 7 - -4). 4 -4 + -2 - (2 + -10) 2 What is 1 - (8 - 3) - (0 + -5)? 1 5 - (6 - -2) - (-8 + 2) 3 What is the value of 6 + ((-22 - -7) + 3 - 0)? -6 Calculate -2 + -9 + 3 + (5 - 0). -3 What is the value of 0 - (2 + (2 - 3) - 3)? 2 What is 8 - (5 - -3 - -5)? -5 Evaluate -8 - (-2 - (-5 - -16)). 5 Evaluate 4 - 3 - (0 + 0 - -1). 0 Evaluate 5 + (-6 - (-12 + 9)). 2 Evaluate (-5 - -7) + -2 + (3 - 1). 2 Evaluate 3 - (-4 + 6 - 2). 3 0 + -2 + -1 + (5 - 3) -1 Calculate -8 + 0 + -9 + 10 - -2. -5 Evaluate 1 + -6 + 11 + -3. 3 What is -8 - (-2 - (1 + 9))? 4 Calculate -140 + 138 - (0 - 0 - 2). 0
{ "pile_set_name": "DM Mathematics" }
208)*1 - sqrt(208)))*-1)*4)**2. 640*sqrt(13) + 83216 Simplify -4 + ((sqrt(48) + sqrt(48) + sqrt(192)*-3)/sqrt(8))/(sqrt(30)/(-2*sqrt(10)) + ((sqrt(12)*-1 - sqrt(12))/sqrt(4) - sqrt(3) - sqrt(3))) + -3. -7 + 8*sqrt(2)/9 Simplify (-3 + (-5*((sqrt(180)*-1 - sqrt(180)) + sqrt(180))*-5)/(3*sqrt(36)/sqrt(4) + sqrt(9) - -6*sqrt(18)/sqrt(2)))**2. 30*sqrt(5) + 134 Simplify -3 + ((2*sqrt(208) + 1)*-6 - (1*sqrt(208)*-6 - (-3*(sqrt(208)*1 + sqrt(208)) - sqrt(208)))**2). -217 - 48*sqrt(13) Simplify (((sqrt(126) - sqrt(126)*1)*-1)/(3*sqrt(12)))/((3*sqrt(66) - sqrt(66) - sqrt(66))/sqrt(11) - sqrt(486)*-2). 0 Simplify ((5*(sqrt(480) + sqrt(480)*-1 + sqrt(480)))/(sqrt(120)/(sqrt(20)/sqrt(2))))/(sqrt(72)*2*-2 + (sqrt(72) - 2*sqrt(72))*5). -5*sqrt(5)/27 Simplify -6*(sqrt(152)/(1*sqrt(392) - sqrt(8)))**2 - 1*(sqrt(684) - (sqrt(684) - (-3*sqrt(684) + -4)**2)). -37051/6 - 144*sqrt(19) Simplify (3 + (-5 + sqrt(700) + -3 + sqrt(700))*-3 + (-5 + -6*-4*sqrt(700))*-6)**2. -171000*sqrt(7) + 15753249 Simplify ((5*(-2 + sqrt(112)) + -5 + -4*(3 + sqrt(112) + 1 + sqrt(112)))**2 + 2)*-3. -5913 - 2232*sqrt(7) Simplify ((((sqrt(100) - (sqrt(100)*-2 + sqrt(100))*-2) + sqrt(100))*5)/(4*(sqrt(24)/sqrt(4)*-5 + sqrt(6) + sqrt(6) + sqrt(6))/sqrt(3)))**2. 0 Simplify (-2*((sqrt(600)*4)/sqrt(12) + sqrt(50)))/((sqrt(120)/sqrt(2))/sqrt(6) - 1*sqrt(250)) + -2. -2 + 5*sqrt(5)/2 Simplify -2*2*((4 + sqrt(272)*1 - -5*(sqrt(272) + -1)) + ((sqrt(272) + 1*sqrt(272)*5)*-3)**2)*3. -1057524 - 288*sqrt(17) Simplify ((5 + -4*sqrt(1008)*-2)*2)**2*2. 7680*sqrt(7) + 516296 Simplify (-6*(1*sqrt(576)*4 - sqrt(576) - sqrt(576))/(sqrt(12) - sqrt(432)*1)*4)**2. 110592/25 Simplify 3 + -1 + ((sqrt(119) - (sqrt(119)*1 + sqrt(119)))*-6 - sqrt(119) - sqrt(119))/(sqrt(7) - 5*(sqrt(7) + (sqrt(28) - sqrt(7) - sqrt(7)))). -sqrt(17) + 2 Simplify (4 + (sqrt(448) + ((sqrt(448)*-1)**2 + 1 - sqrt(448)) - (-5 + sqrt(448)*1 + sqrt(448))**2) + -3)*5. -6835 + 800*sqrt(7) Simplify ((0 + 2*(1 + -2 + sqrt(1539) + 4))*1 + 3)**2. 324*sqrt(19) + 6237 Simplify -1*((sqrt(17)*-2*-4 + 4 + -2 + sqrt(68)/sqrt(4) + 3)**2 + 1)*4. -5612 - 360*sqrt(17) Simplify (-4*((sqrt(162) + sqrt(162) + 2)*-2 - -2*sqrt(162)*-3)*-4)**2 + 2. 184320*sqrt(2) + 4151298 Simplify 6*-5*6*((sqrt(4212))**2 - sqrt(468)*3). -758160 + 3240*sqrt(13) Simplify -2*(-2*(-4*sqrt(153)*1 + sqrt(153))*-1)/(((sqrt(1089)*-2 - sqrt(1089)) + (sqrt(441) - (sqrt(441) - (sqrt(441)*2 - sqrt(441)))) + sqrt(441))*-2). 6*sqrt(17)/19 Simplify 1 + 4*(5*(sqrt(52)*-2*-6 + sqrt(52)))/((sqrt(4) + 5*sqrt(20)/sqrt(5) + sqrt(4))*6). 1 + 130*sqrt(13)/21 Simplify ((sqrt(105) - 2*sqrt(105))/sqrt(7))/(sqrt(12)/(2*sqrt(4))) - (1 + sqrt(5) + sqrt(20) - (4 + sqrt(20)))**2. -14 + 4*sqrt(5) Simplify 5 + (-2*(((sqrt(117) + -1)*-6 - ((sqrt(117) - (sqrt(117) + 1)) + 1)) + 3))**2 + -2. -1296*sqrt(13) + 17175 Simplify 4*(sqrt(108) - (sqrt(108) + 0)) + ((sqrt(108) + sqrt(108)*-3 + sqrt(108))*1 - sqrt(108)) - -1*2*(sqrt(108) + 4 + -2*sqrt(108))**2. -108*sqrt(3) + 248 Simplify 4*(4 + 5*-3*(-2 + (2*sqrt(252))**2 + sqrt(252))). -60344 - 360*sqrt(7) Simplify (3 + sqrt(75) + -2 + (-2*sqrt(75) - sqrt(75)) + (sqrt(75) + 2)*-3*5)**2*1. 4930*sqrt(3) + 22516 Simplify (2*1*sqrt(35) - 6*sqrt(245)/sqrt(7))/((2*sqrt(1500) - sqrt(1500))/(sqrt(12)*2*-2)). 16*sqrt(7)/5 Simplify (-1*(sqrt(63)/sqrt(3)*4 + (sqrt(210)*2 - sqrt(210))/sqrt(10)))/(1*sqrt(18)/(sqrt(600)*-1)). 50*sqrt(7) Simplify ((sqrt(896) + 2*sqrt(896))*1*6)/(3*(sqrt(288) + (sqrt(288)*-3 - sqrt(288)))*1) + -1. -4*sqrt(7)/3 - 1 Simplify 5*(sqrt(432) + 0 + sqrt(432) + -3 - (5*(sqrt(432)*-1 + sqrt(432)) - sqrt(432)))*-6 + -5 + 2. -1080*sqrt(3) + 87 Simplify 1 + (5 + -1 + sqrt(288) + 6*-1*sqrt(288) - (-2 + sqrt(288)*2 + 2*((sqrt(288) + -1)**2 + sqrt(288) - sqrt(288)))) + -1. -572 - 36*sqrt(2) Simplify (-2*(sqrt(270)/sqrt(6) + sqrt(40)/sqrt(8) + -4 + (-4 + sqrt(125) + -2)*1))**2. -720*sqrt(5) + 2020 Simplify (-4*sqrt(2299)*5 - ((sqrt(114)/sqrt(96))**2 + (-3 + sqrt(38)/sqrt(2))**2)) + 1 + 0. -214*sqrt(19) - 451/16 Simplify (-5*sqrt(66)*3 - sqrt(66)*2*5)/(-6*sqrt(432)/(1*sqrt(8))). 25*sqrt(11)/18 Simplify -1*(1 + sqrt(208) + 1) + 0 - (sqrt(1300)*-1 + 2 - sqrt(91)/((-2*sqrt(63))/sqrt(9))). -4 + 11*sqrt(13)/2 Simplify ((sqrt(33)/sqrt(1100))**2*6*-3 - ((sqrt(81)/sqrt(3)*4)/(sqrt(36)*6))**2)*-5. 131/30 Simplify (5 + 5 + sqrt(3))**2 + sqrt(3) + (sqrt(3) - (sqrt(27) + 4 + sqrt(3)) - sqrt(3)) - (sqrt(135)/sqrt(5) - (sqrt(3) + sqrt(21)/sqrt(1008))). 181*sqrt(3)/12 + 99 Simplify -5*(-2*(-1*sqrt(833
{ "pile_set_name": "DM Mathematics" }
Suppose -2*k = -2*p - 308, -3*k + 448 = p - 10. List the prime factors of k. 3, 17 Let m(k) = 6*k**2 - 2*k + 1. Let p be m(1). Suppose -4*f + 100 = -4*r, -p*f - r + 2*r + 105 = 0. List the prime factors of 432/f + 2/5. 2, 11 Suppose 5*u - 484 = 3*g, -g + 3*g = -u - 301. Let q = 528 + -301. Let j = q + g. What are the prime factors of j? 2, 37 Let m(l) = 5*l**2 + 4*l + 2. Let f(a) = -4*a**2 - 3*a - 2. Let r(s) = 6*f(s) + 5*m(s). Let j be r(3). Suppose 9*q - j*q = -68. List the prime factors of q. 17 Let u(r) = r + 6. Let z be u(-7). Let a be z/(1*4/72). Let y = a - -30. List the prime factors of y. 2, 3 Let n(b) = -b**3 - b + 3. Let o be n(0). Suppose o*i - 4 = -28. What are the prime factors of 46/((0 - i)/4)? 23 What are the prime factors of 48220/20 - (4 + 2)? 5, 13, 37 Let p(q) = -q**2 + 16*q + 513. List the prime factors of p(0). 3, 19 Let h be 2 + 6*-1 + 21. Let k = -15 + h. Suppose -s = -5*a + 4*s + 35, 14 = k*a - s. What are the prime factors of a? 7 Let y(f) = 133*f**3 - 4*f**2 + 4*f + 3. What are the prime factors of y(2)? 3, 353 Let m(q) = -q + 18. Let f be m(18). Suppose -5*g + 9*g - 188 = f. List the prime factors of g. 47 Let f = -2 - 31. Let p = f + 80. What are the prime factors of p? 47 Suppose -11*o + 7*o - 5*w = -1257, -333 = -o - 5*w. What are the prime factors of o? 2, 7, 11 Let s = -14 - 8. Let u be ((-6)/(-2))/((-33)/s). Suppose 86 = u*l + 3*l - 3*w, 3*l + 5*w = 38. List the prime factors of l. 2 Let l(n) = -n**2 - 3*n + 2. Let s be l(-4). Suppose -4 = 2*b - 4*k - 18, 2*b + 22 = -5*k. What are the prime factors of b/s*(33 - -1)? 17 Let u(h) = 8*h - 3. Let q be u(1). Suppose -3*a + q*l + 88 = 0, 2*a - 4*l = 7*a - 159. What are the prime factors of a? 31 Let v(s) = -23*s + 589. List the prime factors of v(0). 19, 31 Let x(h) = -h**3 + 3*h**2 + 11*h - 5. What are the prime factors of x(-9)? 2, 7, 31 Let z be (-102)/(-9) + (1 - 2/6). Let m(b) = b**2 - 4*b - 18. What are the prime factors of m(z)? 2, 3, 13 Let d(h) = 3*h**2 + 2*h - 26. Suppose -2*n = -3*y + 9, 30 = -5*n + 2*n - y. What are the prime factors of d(n)? 199 Let s(n) = -n**3 + 5*n**2 - 2*n - 3. Suppose -6 = -2*j - 4*h, -3*h + 11 = -4*j - 10. Let y be j*(-2)/3*2. List the prime factors of s(y). 5 Let m = -350 - -1041. What are the prime factors of m? 691 Let b(l) = -8*l**3 + 11*l**2 + 23*l - 3. List the prime factors of b(-5). 13, 89 Suppose -4*d + 2 = -3*d. Suppose 2*b = -8 + d. What are the prime factors of 1/b - 86/(-6)? 2, 7 Let h = 664 + -521. What are the prime factors of h? 11, 13 Let q be (1 + -2 - -25) + 1. Let u be 2*(-2)/14 - (-640)/280. Let o = q - u. List the prime factors of o. 23 Let w(d) = -2*d + 17. Suppose -4*u - 3*i - 17 = 0, -5*u - i = -0*i + 24. List the prime factors of w(u). 3 Suppose 4*s + 0*s = 16680. List the prime factors of s. 2, 3, 5, 139 Let s = 32 - 32. Suppose 2*l - 5*p + s*p - 172 = 0, 0 = -5*l - p + 484. List the prime factors of l. 2, 3 Let y(l) = -13*l**3 + 3*l + 4*l**3 + 33 + 14*l**2 + 10*l**3. List the prime factors of y(-12). 3, 5, 19 Suppose 0 = -33*m + 29*m + 12. Suppose -370 = -m*z - 64. List the prime factors of z. 2, 3, 17 Let c be (-4)/(-1 - 1) - 9. Let t = c + 49. What are the prime factors of t? 2, 3, 7 Let y = 79 + -18. Let n = y + -24. What are the prime factors of n? 37 Let s(y) be the first derivative of y**7/840 - y**6/360 + y**4/8 + 5*y**3/3 - 11. Let o(c) be the third derivative of s(c). List the prime factors of o(2). 7 Let g = 1303 + -393. List the prime factors of g. 2, 5, 7, 13 Let w(a) = 0*a + 0 - 3*a - 3 - 3*a. Let n = 62 + -71. What are the prime factors of w(n)? 3, 17 Suppose -3*u + 2 + 1 = 0. Let g(q) = -q - 8*q - 4 + u. List the prime factors of g(-3). 2, 3 Suppose -4*q = -z + 1139, 9*z - 5*q + 3468 = 12*z. List the prime factors of z. 1151 Suppose -a - 4*a - 2*v = -217, -176 = -4*a - v. What are the prime factors of -2 + a + (-1 - (3 - 1))? 2, 5 Let n(o) = o + 2. Let s be n(3). Let c = -2 + s. Suppose -c*a - 2*a + 15 = 0. List the prime factors of a. 3 Suppose 90 = -13*m + 3*m. List the prime factors of -6*(6/m)/(4/249). 3, 83 Suppose -12 = -2*c - 2*c. Suppose -3*b = 5*i - 201, -b + 4*i - c*i + 75 = 0. Suppose -k + b = 3*k. List the prime factors of k. 2, 3 Suppose 4*q + 36 = -5*f, -4*q + 2*f - 5 = 31. Let x = -5 - q. Suppose -2*v = -x*k - 8, -5*v + k + 4*k = -35. List the prime factors of v. 2, 5 Suppose 2*y + y - 123 = -5*s, -s + 26 = 2*y. Let r = 139 + s. Let c = -116 + r. What are the prime factors of c? 47 Suppose -3*q = -2*l - 0*l - 6, -2*l = -q + 2. Suppose 3*h - 11*h + 984 = l. What
{ "pile_set_name": "DM Mathematics" }
2 + 4707*l + 5 wrt l. -315806 What is the third derivative of -36705*p**3*q + 1862*p**2*q + 15*p**2 wrt p? -220230*q What is the third derivative of -105072*t**5 + 3*t**2 - 5*t - 198 wrt t? -6304320*t**2 What is the third derivative of -795*c**2*i**3 - 56*c**2*i + 5*c*i**3 - 2*c*i - 24*i**2 - 2 wrt i? -4770*c**2 + 30*c Find the second derivative of 4*b**2*h*t**2 - 1042*b**2*h*t - 4678*b**2*t**2 - 4*b**2*t - 6*b*h*t - 2*b*t + 6*t**2 - 2*t wrt t. 8*b**2*h - 9356*b**2 + 12 What is the first derivative of 31665*f**2*o + 1493*f**2 - f - 9 wrt o? 31665*f**2 What is the derivative of -4*x**4 - 52143*x + 533330 wrt x? -16*x**3 - 52143 Find the third derivative of 45361*r**2*v**3 - 23*r**2*v + r*v**2 - 24*r*v wrt v. 272166*r**2 Find the third derivative of 64088*j**6 - 157*j**2 + 29*j wrt j. 7690560*j**3 Find the third derivative of -9*z**6 + z**5 + 97*z**3 - 428*z**2 + 26*z. -1080*z**3 + 60*z**2 + 582 What is the third derivative of 1464627*p**3 - 103*p**2 - 2217 wrt p? 8787762 Find the second derivative of -294568*g**2*o - 2*g*o - 41*g + 3*o + 9 wrt g. -589136*o Find the first derivative of 2*m**2*t**3 + m**2 - 2615*m*t**3 + 307395*t**3 wrt m. 4*m*t**3 + 2*m - 2615*t**3 What is the third derivative of -124175*q**3 + 136732*q**2 + 1 wrt q? -745050 What is the second derivative of -219*o**3*z**4 - 871*o**3*z - 425*o**3 + 773*z**5 wrt z? -2628*o**3*z**2 + 15460*z**3 What is the second derivative of -r**2*x - 107906*r**2 - 181*r - 117*x wrt r? -2*x - 215812 What is the third derivative of 8726*n*x**5 + 4*n*x**2 + 4*n*x + 16*n + 10*x**4 + 194*x**2 wrt x? 523560*n*x**2 + 240*x What is the derivative of -o**3*p**2 - 165*o**3 + o**2 + 282758*o*p - 2*o + 2*p**2 + 13 wrt p? -2*o**3*p + 282758*o + 4*p What is the derivative of -2119015*t**4 - 3491028? -8476060*t**3 Find the first derivative of 265479*h - 1223407 wrt h. 265479 What is the first derivative of -16540*f**4 + 37298 wrt f? -66160*f**3 Find the first derivative of -2*z**2 + 88767*z + 28402 wrt z. -4*z + 88767 What is the second derivative of -297357*u**3 - 398194*u wrt u? -1784142*u Differentiate 25754*k**3 - 21212. 77262*k**2 Find the second derivative of -5*i**2*z**3 + 4814*i**2*z - 12929*i*z**3 + i wrt i. -10*z**3 + 9628*z Find the third derivative of 171927*m**3 - 2850*m**2 + 6*m wrt m. 1031562 Differentiate -818741*t + 67814 with respect to t. -818741 Find the second derivative of r**3 + 2061*r**2 + 22097*r. 6*r + 4122 Find the first derivative of -2733*r**2*t**2*x + 2*r**2*t**2 + 42407*r**2 - r*x + 2*t**2*x wrt x. -2733*r**2*t**2 - r + 2*t**2 What is the second derivative of 6874*f**2 - 253687*f? 13748 Find the first derivative of -2*l**2 - 207935*l + 211827 wrt l. -4*l - 207935 What is the second derivative of -2090*d**3*j**2 + d**3*j + d**3 + 1337*d**2*j**5 + d**2 - 17*d + 1132*j wrt j? -4180*d**3 + 26740*d**2*j**3 Find the second derivative of 86352*g**3 - 141*g - 48. 518112*g Find the second derivative of 410236*i*x**2 + 11368*i - 8*x wrt x. 820472*i Find the second derivative of 3*a**3*g*x**2 + 11746*a**3*g*x - 69397*a*g*x**2 - 20*a*x wrt x. 6*a**3*g - 138794*a*g What is the first derivative of -55*m**2 - 8927*m + 453444? -110*m - 8927 Find the first derivative of -39324*x**3 + 11815. -117972*x**2 Differentiate 48893*o**4 + 52290 with respect to o. 195572*o**3 What is the derivative of 2*a**3*s - 2*a**3 - 46902*a**2*s**2 - 228*a**2 + 34 wrt s? 2*a**3 - 93804*a**2*s Find the second derivative of -339675*r**4 - 6*r + 2318 wrt r. -4076100*r**2 Differentiate -4*a*c**3 - 94*a*c + 41*a + 311*c + 4293 wrt c. -12*a*c**2 - 94*a + 311 What is the first derivative of -7*o**4 - 76*o**2 - 135*o - 2075655 wrt o? -28*o**3 - 152*o - 135 Differentiate 4*p**3 + p**2 - 2607*p - 57342. 12*p**2 + 2*p - 2607 Differentiate 5399*z - 26862 with respect to z. 5399 Differentiate 2229332*q - 5002367 with respect to q. 2229332 Find the third derivative of -21387*d**3*j**3 - 39*d**3 + d*j**3 + 65*d*j**2 wrt j. -128322*d**3 + 6*d Differentiate -121459*a**2 - 98177 with respect to a. -242918*a What is the second derivative of 4743236*f**5 + 25393*f + 51 wrt f? 94864720*f**3 Differentiate -249*r**4*s - 83*r**4 - 28060*s with respect to r. -996*r**3*s - 332*r**3 What is the derivative of b**3 + 41094*b**2*q**2 - 10032*q**2 + 3*q wrt b? 3*b**2 + 82188*b*q**2 Find the second derivative of 16*w**5 - 249*w**4 + 5*w**3 - 60143*w. 320*w**3 - 2988*w**2 + 30*w Differentiate -549*d**2*j**2 + 160*d**2*j + 164046*d**2 with respect
{ "pile_set_name": "DM Mathematics" }
7550 = 0, 3*v = u - 1514. Is u a prime number? True Let l be (0 - (-6)/12) + 54575/2. Let r = l + -18427. Is r composite? False Let u(o) = 2*o - 23. Let a be u(14). Let c be 5/(a/(-8))*(-6 + 7). Is 4 - 19905/(3 + c) composite? True Let q(l) = -20799*l + 18799. Is q(-30) a prime number? True Is (-3629181)/(-9) + -18*(-42)/(-567) composite? False Suppose 197*j - 2*x - 96341 = 196*j, 0 = -4*x. Is j a prime number? False Let x be -11098 + (-4)/2 + -4. Let k be -3 + x/(-2) + -4. Is (k/(-10))/(1/(-2)) a prime number? True Let o(r) = 7*r**2 + 83*r - 5. Let k be o(-12). Let m(l) = 117*l**2 - 27*l + 37. Is m(k) prime? True Is 211070258/2821 + (-1)/13 a composite number? False Let i = -789137 - -1690828. Is i a composite number? True Let d = -74 + 288. Suppose 31*t - 32057 = d. Is t a composite number? True Suppose -6*t - 30 + 54 = 0. Suppose a - 10670 = -2*b, b = t*a + a + 5313. Is b a prime number? True Is (1906967/6 - -3) + -3 + (-130)/156 prime? True Let z = -523743 - -882314. Is z a composite number? False Let y(z) = 10*z**3 - 27*z**2 - 36*z + 120. Is y(13) prime? False Let j(m) be the second derivative of -m**5/20 - 5*m**4/3 - m**3/2 + 21*m**2/2 - 8*m. Let k be j(-17). Let x = 1376 + k. Is x composite? True Is (-83491166)/(-370) - 12/15 a composite number? True Let n = 1964 + -117. Is n a composite number? False Let n be (3 - 2)*(0 + 0). Suppose -12*a + 21*a - 77481 = n. Is a composite? False Suppose -4*x = -5 + 5. Suppose x = -34*t + 904688 - 97018. Is t a prime number? False Let l be (136/40 - 3) + 32/(-5). Let v(h) = -398*h - 157. Is v(l) composite? True Suppose -3*i + 4*q = -6, -2*i = -0*q - 2*q - 4. Let y(u) be the first derivative of 3*u**4/2 + u**3 - u**2/2 - u - 243. Is y(i) a prime number? False Suppose 8*p + 641998 = 2920881 + 3409253. Is p prime? True Let i(p) = p**2 - 18*p + 39. Let a be i(12). Let w = 37 + a. Suppose -j + 1633 = 2*l, 4*l + w = 2*l. Is j a prime number? True Suppose -4797 = -3*s + 3*p + 10635, 0 = 3*s + 5*p - 15456. Is s a prime number? True Is (-4)/(-24) + (-8)/12 - (-1398390)/20 a prime number? False Let d(o) = -1754*o**2 + 24*o - 25. Let j be d(1). Let a = j - -6082. Is a prime? True Let m = 1327 - 705. Suppose 1892 + m = 6*t. Is t a prime number? True Let x be 2 - (3 - (-2 + 10)). Suppose -3*y - r = -x*y - 7145, -3*y - 5352 = -3*r. Let d = y + 2740. Is d a prime number? True Suppose 2*h - 166 = -0*h + 5*l, h + 2*l - 74 = 0. Suppose 80*v - h*v - 13380 = 0. Suppose v = 10*c - 4*c. Is c prime? False Suppose 6*p - 102 = 3*p + 3*i, -4*p + 131 = -5*i. Suppose -87598 = 25*h - p*h. Is h composite? False Let s be (-48)/20 + 3 - 26796/35. Let n = 1446 + s. Is n composite? True Let d(s) = s**3 + 38*s**2 + 73*s + 39. Let i be d(-36). Is 1/3 - ((-31478)/i - -6) prime? True Let i(r) be the third derivative of r**5/15 + 7*r**4/24 - 3*r**3 + 34*r**2 + 2. Is i(-11) a prime number? True Is 1 - -259516 - 4/(((-20)/6)/5) a composite number? True Let m(l) = l**3 - 7*l**2 - l + 6. Let u be m(7). Is (u/2)/(3/(-43302) - 0) a prime number? False Let l = 14 - 10. Suppose -l*n = -12, -3*n + 254 = -4*y + 29. Let b = y + 797. Is b composite? False Let p = 64 - 37. Let a(z) = 359*z + 172. Is a(p) a prime number? False Let j = 322511 - 193377. Is j composite? True Is 8/3 - 2644/(-12) a prime number? True Suppose -2*i - 35006 - 37044 = -4*g, g = 2*i + 18011. Is g prime? True Let y be (7/2 - 4)*-6. Suppose 5*h = 4*f + 3931, 4*f - 1 = y*f. Is h prime? True Is ((2/12)/((-185)/(-222)))/(1/1354295) a prime number? True Let q be 12/18 + (-14)/21. Suppose q = 3*x + 3*f - 73158, 0 = -5*x + 4*f + 119231 + 2690. Is x a composite number? True Let h be 4 + (-15)/9 + (-6)/(-9). Suppose -129012 = -3*s - h*i, 3*i + 85993 = 2*s - 0*s. Is s composite? True Suppose -1 = -0*i - i. Suppose 2*s - 2*l + i = 19, -4*l = -5*s + 40. Suppose 3*p - 1011 = -4*v, -3*p + s*v + 1376 = p. Is p prime? False Suppose -2*j + 288 = j. Let p(u) = -41*u - 18*u + 1 + j*u + 91*u. Is p(6) a composite number? False Suppose -162*w + 44987411 + 46429473 = 9860090. Is w composite? True Suppose -33*l - 3767303 + 7374495 + 9388571 = 0. Is l prime? False Let q = 437554 + -255993. Is q composite? True Let p be 3 - 10 - (0 + (2 - 5)). Let b be ((-4518)/p)/(9/18). Let u = b + 694. Is u prime? True Let y(q) = 3*q - 22*q**2 - 5*q**2 + 8 - 3*q**2 - 2*q. Let f be y(-7). Let u = -990 - f. Is u a composite number? False Let l(w) = -11308*w - 17. Is l(-6) a prime number? False Suppose 25*h - 6 = 28*h. Let b(y) = -943*y + 2. Let t(o) = -1. Let i(f) = b(f) - 5*t(f). Is i(h) a prime number? False Is (422080/10)/4 + -11 composite? True Let q = 29785
{ "pile_set_name": "DM Mathematics" }
the ninth root of 1453816 to the nearest integer? 5 What is 1236588 to the power of 1/2, to the nearest integer? 1112 What is the square root of 653784 to the nearest integer? 809 What is 9175004 to the power of 1/6, to the nearest integer? 14 What is the ninth root of 24290255 to the nearest integer? 7 What is 212657 to the power of 1/3, to the nearest integer? 60 What is 844130 to the power of 1/2, to the nearest integer? 919 What is the cube root of 4315278 to the nearest integer? 163 What is the cube root of 461150 to the nearest integer? 77 What is 789111 to the power of 1/10, to the nearest integer? 4 What is the seventh root of 11586153 to the nearest integer? 10 What is 3855966 to the power of 1/5, to the nearest integer? 21 What is the square root of 28892269 to the nearest integer? 5375 What is the fourth root of 596618 to the nearest integer? 28 What is 397235 to the power of 1/6, to the nearest integer? 9 What is 1176863 to the power of 1/2, to the nearest integer? 1085 What is the cube root of 790058 to the nearest integer? 92 What is 31119829 to the power of 1/6, to the nearest integer? 18 What is 14707759 to the power of 1/3, to the nearest integer? 245 What is the square root of 235147 to the nearest integer? 485 What is the square root of 13480266 to the nearest integer? 3672 What is the ninth root of 561409 to the nearest integer? 4 What is the square root of 105759 to the nearest integer? 325 What is the fourth root of 25220016 to the nearest integer? 71 What is the square root of 776609 to the nearest integer? 881 What is the cube root of 4598150 to the nearest integer? 166 What is 262722 to the power of 1/2, to the nearest integer? 513 What is 272046 to the power of 1/3, to the nearest integer? 65 What is the square root of 380289 to the nearest integer? 617 What is 1197860 to the power of 1/3, to the nearest integer? 106 What is 3039230 to the power of 1/9, to the nearest integer? 5 What is 923631 to the power of 1/2, to the nearest integer? 961 What is 32610 to the power of 1/2, to the nearest integer? 181 What is the third root of 1711915 to the nearest integer? 120 What is the square root of 1160495 to the nearest integer? 1077 What is 400806 to the power of 1/7, to the nearest integer? 6 What is 32561619 to the power of 1/5, to the nearest integer? 32 What is the fifth root of 3159685 to the nearest integer? 20 What is the fifth root of 1258592 to the nearest integer? 17 What is the third root of 498802 to the nearest integer? 79 What is the seventh root of 60528 to the nearest integer? 5 What is 257068 to the power of 1/3, to the nearest integer? 64 What is the square root of 12513508 to the nearest integer? 3537 What is 15654 to the power of 1/5, to the nearest integer? 7 What is the fourth root of 170311 to the nearest integer? 20 What is 733533 to the power of 1/6, to the nearest integer? 9 What is 266360 to the power of 1/2, to the nearest integer? 516 What is the square root of 494866 to the nearest integer? 703 What is the third root of 148052 to the nearest integer? 53 What is the square root of 108815 to the nearest integer? 330 What is the cube root of 1448985 to the nearest integer? 113 What is the third root of 5682143 to the nearest integer? 178 What is the sixth root of 8220981 to the nearest integer? 14 What is the sixth root of 1580256 to the nearest integer? 11 What is the cube root of 1018133 to the nearest integer? 101 What is 301197 to the power of 1/8, to the nearest integer? 5 What is the square root of 2577915 to the nearest integer? 1606 What is the square root of 6296829 to the nearest integer? 2509 What is 4753930 to the power of 1/2, to the nearest integer? 2180 What is 6381164 to the power of 1/2, to the nearest integer? 2526 What is 488692 to the power of 1/6, to the nearest integer? 9 What is the third root of 5262126 to the nearest integer? 174 What is 5612 to the power of 1/7, to the nearest integer? 3 What is 3297189 to the power of 1/10, to the nearest integer? 4 What is the fourth root of 875402 to the nearest integer? 31 What is the third root of 321240 to the nearest integer? 68 What is the square root of 275625 to the nearest integer? 525 What is the square root of 139676 to the nearest integer? 374 What is 520409 to the power of 1/2, to the nearest integer? 721 What is the square root of 741299 to the nearest integer? 861 What is the third root of 297890 to the nearest integer? 67 What is 89164 to the power of 1/7, to the nearest integer? 5 What is 29229903 to the power of 1/2, to the nearest integer? 5406 What is 23298969 to the power of 1/8, to the nearest integer? 8 What is the square root of 13744791 to the nearest integer? 3707 What is 3545840 to the power of 1/4, to the nearest integer? 43 What is the third root of 26426 to the nearest integer? 30 What is 535885 to the power of 1/3, to the nearest integer? 81 What is the third root of 6746797 to the nearest integer? 189 What is the third root of 8736811 to the nearest integer? 206 What is the sixth root of 2253 to the nearest integer? 4 What is 49001 to the power of 1/2, to the nearest integer? 221 What is the third root of 2234 to the nearest integer? 13 What is the seventh root of 460280 to the nearest integer? 6 What is 124204 to the power of 1/2, to the nearest integer? 352 What is 2482237 to the power of 1/8, to the nearest integer? 6 What is the third root of 832698 to the nearest integer? 94 What is 8773325 to the power of 1/10, to the nearest integer? 5 What is the third root of 183256 to the nearest integer? 57 What is the ninth root of 32042207 to the nearest integer? 7 What is the tenth root of 81542 to the nearest integer? 3 What is 581045 to the power of 1/3, to the nearest integer? 83 What is the seventh root of 1270140 to the nearest integer? 7 What is the third root of 366969 to the nearest integer? 72 What is the square root of 1162540 to the nearest integer? 1078 What is 179664 to the power of 1/2, to the nearest integer? 424 What is the fourth root of 11950314 to the nearest integer? 59 What is 15216 to the power of 1/6, to the nearest integer? 5 What is the third root of 166450 to the nearest integer? 55 What is the seventh root of 3135695 to the nearest integer? 8 What is the square root of 591970 to the nearest integer? 769 What is the eighth root of 4420027 to the nearest integer? 7 What is the eighth root of 275461 to the nearest integer? 5 What is 203398 to the power of 1/3, to the nearest integer? 59 What is the square root of 2859007 to the nearest integer? 1691 What is the square root of 138525 to the nearest integer? 372 What is the ninth root of 2607965 to the nearest integer? 5 What is the third root of 201870 to the nearest integer? 59 What is the ninth root of 11624886 to the nearest integer? 6 What is the third root of 15120913 to the nearest integer? 247 What is the seventh root of 1303964 to the nearest integer?
{ "pile_set_name": "DM Mathematics" }
le of 25452 and 3622668? 10868004 Calculate the smallest common multiple of 596 and 10965804. 10965804 Calculate the smallest common multiple of 4251042 and 7557408. 68016672 Calculate the common denominator of 121/7414884 and 55/5767132. 51904188 Find the common denominator of 121/2076 and -73/322401. 223101492 What is the common denominator of -5/23583 and 29/53415495? 53415495 Calculate the smallest common multiple of 121101 and 375304. 41658744 What is the smallest common multiple of 2664 and 16272? 602064 What is the least common multiple of 47557830 and 45? 142673490 What is the least common multiple of 30465 and 44946030? 134838090 Calculate the common denominator of -123/1187144 and -31/7140. 17807160 What is the common denominator of -18/13606489 and -19/7254? 244916802 Calculate the smallest common multiple of 20779 and 198345. 2181795 Find the common denominator of 113/457240 and 101/106471600. 745301200 What is the common denominator of 29/103504415 and -53/2957269? 103504415 What is the common denominator of -35/19 and 39/7546147? 143376793 What is the lowest common multiple of 62329 and 2744046? 1089386262 What is the common denominator of -47/3534544 and -32/559? 151985392 Calculate the smallest common multiple of 114 and 35916. 682404 Calculate the lowest common multiple of 30 and 291722220. 291722220 Find the common denominator of 113/218760 and 77/7853484. 78534840 What is the common denominator of -139/6426 and -121/8543826? 59806782 What is the lowest common multiple of 32889792 and 1212284? 756465216 Find the common denominator of -149/5241060 and -127/30. 5241060 Find the common denominator of -37/22 and 91/26701726. 293718986 What is the lowest common multiple of 912 and 527706? 4221648 Calculate the common denominator of 65/14950664 and 181/16650. 3363899400 Find the common denominator of 111/5350 and -33/8774. 219350 Calculate the lowest common multiple of 2627284 and 33. 7881852 Calculate the lowest common multiple of 4268969 and 185806. 520814218 Calculate the lowest common multiple of 148850 and 6681075. 173707950 Find the common denominator of 46/872067 and -4/13231. 88078767 Calculate the smallest common multiple of 6601752 and 1100292. 6601752 Find the common denominator of 42/5105 and 103/39180. 40002780 Find the common denominator of -107/71874920 and -153/910. 503124440 Find the common denominator of -41/413064 and 29/1404. 16109496 Calculate the least common multiple of 63518 and 422562. 1917163794 Find the common denominator of -29/27919158 and -83/18612772. 55838316 What is the smallest common multiple of 73170027 and 121863? 512190189 Calculate the lowest common multiple of 70417 and 160803. 10773801 Find the common denominator of -133/42329760 and -73/8818700. 211648800 Calculate the smallest common multiple of 31572552 and 484. 347298072 What is the lowest common multiple of 420 and 252572? 26520060 Calculate the common denominator of -76/9 and -97/15334. 138006 Calculate the common denominator of 163/109848288 and -139/1174848. 219696576 What is the lowest common multiple of 490 and 2805250? 2805250 What is the common denominator of -85/2354276 and -25/64? 37668416 Find the common denominator of -27/24802 and 1/2368591. 4737182 Calculate the common denominator of 43/251440 and 113/1738520. 1561190960 Calculate the common denominator of 23/2260544 and 93/3328. 9042176 What is the least common multiple of 3561999 and 6816? 113983968 What is the least common multiple of 920 and 957490? 3829960 Calculate the common denominator of 139/30 and 55/443599896. 2217999480 Calculate the lowest common multiple of 14 and 1418326. 1418326 Calculate the smallest common multiple of 90090 and 385. 90090 Calculate the least common multiple of 259206860 and 47128520. 518413720 Calculate the smallest common multiple of 11587972 and 7374164. 81115804 Find the common denominator of 16/8158305 and -11/6526644. 32633220 Find the common denominator of 23/5462394 and 89/876. 797509524 What is the smallest common multiple of 35004208 and 70573? 35004208 Calculate the common denominator of 80/244107777 and 83/24. 1952862216 What is the smallest common multiple of 3013755 and 2979? 9041265 What is the lowest common multiple of 30293232 and 136319544? 272639088 What is the common denominator of 121/27230 and -131/2493610? 970014290 Calculate the lowest common multiple of 27554232 and 306840. 137771160 Find the common denominator of -23/14375340 and -73/5590410. 100627380 Calculate the common denominator of 43/13160 and -36/6721. 1881880 Calculate the smallest common multiple of 2154 and 25315244. 75945732 Find the common denominator of 43/605790 and 37/54855. 13933170 Calculate the common denominator of 53/2532459 and -74/3. 2532459 What is the least common multiple of 1344 and 12999? 831936 What is the common denominator of -23/345411 and 32/115137? 345411 What is the least common multiple of 216273 and 6055644? 6055644 Find the common denominator of -21/58275608 and -31/203964628. 407929256 What is the least common multiple of 6150 and 60270? 301350 Calculate the lowest common multiple of 2123823 and 217828. 8495292 What is the common denominator of -29/314815 and -18/126240815? 126240815 Calculate the least common multiple of 8070 and 76605. 41213490 What is the least common multiple of 8942151 and 69? 205669473 Calculate the common denominator of -89/288 and 77/2973812. 214114464 Find the common denominator of -95/2039252 and -45/959648. 16314016 What is the lowest common multiple of 29714 and 116708? 9686764 Calculate the least common multiple of 214 and 232781710. 232781710 What is the least common multiple of 1127 and 4037306? 92858038 Calculate the common denominator of -49/1591573 and -24/7543. 1591573 What is the least common multiple of 3827532 and 1932? 616232652 What is the common denominator of -59/6 and 85/9645808? 28937424 Find the common denominator of 80/56860947 and -34/44181. 56860947 Find the common denominator of -173/9870 and -107/33516. 7876260 What is the lowest common multiple of 1136996 and 72? 20465928 What is the lowest common multiple of 697792 and 8? 697792 What is the common denominator of 97/87400 and -121/22776? 248827800 Find the common denominator of -81/1122952 and -31/60. 16844280 What is the common denominator of 53/464000 and -89/12840? 148944000 Find the common denominator of 101/158700 and -67/1322500. 3967500 What is the common denominator of 25/6456122 and 17/68882? 71017342 Find the common denominator of -73/529515 and -53/3690. 1059030 What is the smallest common multiple of 2 and 374549? 749098 Calculate the common denominator of
{ "pile_set_name": "DM Mathematics" }
1)*(3 - 21*s - 2*s - 2) + 0*s**2 + 5*s**2 - 3*s**2. 278*s**2 - 12*s Expand 0*c - c + 2*c + (-2*c + 3*c - 2*c)*(4 + 0 - 2) + 1192 - 1192 - 32*c. -33*c Expand (a**2 + 4*a**2 - 4*a**2)*(-1 - 2*a + 1) + (-2*a**2 - 2*a + 2*a)*(-4*a - 3 + 3)*(-11 - 8 + 2). -138*a**3 Expand (6 + 4 - 15)*(0*p + 5*p + 2*p)*(-3 - 1 + 3). 35*p Expand -3*g**2 - 3*g**2 + 2*g**2 - 3*g**2 + 7*g**2 - 2*g**2 + (242*g - 316 + 316)*(-5*g + 0*g + 3*g). -486*g**2 Expand (-4*z**2 + 42*z - 489136 + 489136)*(1 + 3 - 3)*(5 - 2 - 1)*(4 - 2 - 3). 8*z**2 - 84*z Expand -n + 5*n - 15*n**3 - 2*n + (3 + 1 - 1)*(-3*n**3 + 4*n**3 + 0*n**3). -12*n**3 + 2*n Expand (37 - 3 + 7 - 4 + 5 - 3 + (-5 + 3 + 0)*(-2 + 5 - 2) - 2 + 3 - 2)*(5 - 5 + p). 36*p Expand (-2*v + 0*v + v)*(-321812*v**2 + 321812*v**2 - 107*v**3 + 7). 107*v**4 - 7*v Expand -v**3 + 1 - 1 - 2*v**3 - 5*v**3 - 2*v**3 + (3*v**2 + 0*v**2 - v**2)*(-v + 5*v - 2*v) - 2*v**3 + 3 - 3 + 2*v**3 + 0*v + 0*v. -6*v**3 Expand (-206 + 206 + k**2 + 11*k)*(-1 + 0 + 0)*(0*k**2 - k**2 + 0*k**2). k**4 + 11*k**3 Expand (-s**3 - s**3 - s**3)*(-13 + 18 + 8) + (2*s**3 - s**3 + 0*s**3)*(1 - 1 + 1). -38*s**3 Expand -3*k + k + k + (1 - 2 + 2)*(-k + 4*k - k) + (-81 + 81 + 3*k)*((-1 + 2 + 1)*(3 + 2 - 4) + 0 + 5 - 3). 13*k Expand (-3 - 2*f + 3)*(-f + 0*f + 0*f) + f**2 + 2*f**2 - 2*f**2 + (-2*f - 2*f + 3*f)*(5*f - 2*f - 2*f) - 25*f**2 + 1569 - 1569 - 4*f**2 + 0*f**2 + 2*f**2. -25*f**2 Expand 8*o**5 + 6*o**5 + 2*o**5 + (-o - 2*o**3 + o)*(-3*o**2 + 5*o**2 - 3*o**2) + 0*o**4 + 0*o**4 + 2*o**5 - 7*o**5 - 11*o**5 + 3*o**5. 5*o**5 Expand (-6 + 4 + 3)*(-88*n**4 + 26*n**4 + 28*n**4). -34*n**4 Expand 0*d + d**2 + 0*d + (-4*d + 4*d + d)*(2*d - 2*d - 2*d) - 23*d**2 - 88*d + 88*d + (-5 + 0 + 3)*(-6*d**2 - 8*d**2 + 8*d**2). -12*d**2 Expand -61*a**4 + 52*a**4 + 7*a**4 - 545 + (2*a - 3 + 3)*(2*a**3 + 0 + 0). 2*a**4 - 545 Expand (-u + 0*u - 2*u)*(3 + 2 - 2)*(-u**2 - 3*u + 3*u)*(0 - 2*u + 0). -18*u**4 Expand (-y - 4 + 4)*(4*y - 5*y + 11*y) + (-2 + 2 - 2*y**2)*(3 - 4 - 1). -6*y**2 Expand (-2*h**2 + h + 2 - 2)*(3 - 3 + h**3 + (h**3 + 0*h + 0*h)*(2 - 1 + 1) - 5*h**3 + 4*h**3 + 2*h**3). -8*h**5 + 4*h**4 Expand (0 + 5 - 3)*(-361*o + 719*o - 100 - 356*o + (-4 + 6 + 0)*(0*o + 0*o + o)). 8*o - 200 Expand ((-8 - 1 + 21)*(-2*v - v + 2*v) + (-2*v + 0*v + 0*v)*(2 + 3 - 4) - 4*v + 4*v - 2*v + 8 - 2*v - 8)*(-3 + 5 - 1)*(-2*v + 0*v + 0*v). 36*v**2 Expand (-4 + 3 - 1)*(-723 + 335*d**2 + 723). -670*d**2 Expand (-168*j + 7*j**2 + 168*j)*(-42*j**2 + 25*j**2 + 21*j**2). 28*j**4 Expand (-2 + 3 + 2)*(-3 - 2*p + 3) - 6 + 14*p + 6 + 5 - 5 + 2*p + (1 - 3 + 1)*(-6 + 3 - 3*p + 1). 13*p + 2 Expand (-3*s**2 + 3*s**2 - 3*s**2)*(4*s**2 - 3*s**2 - 3*s**2) - 2*s**4 + 5*s**4 - 5*s**4 + (-s + s - 2*s)*(113*s**2 - 8*s**3 - 113*s**2). 20*s**4 Expand -52 - 22*j + 9*j + 12*j - 15 + 15 + 26*j + j - 2*j + 3*j - 2*j - 4 + 4 - 2*j + j - j + (1 + 2 - 2)*(0 - 2*j + 0). 21*j - 52 Expand ((4 - 4 - 2*z)*(-z - z**4 + z) + 2*z + z**5 - 2*z**5 + 2*z**5)*(3 - 2 + 2)*(0 - 13 + 2). -99*z**5 - 66*z Expand (i - 4*i + 8*i)*(2*i - 7*i + i) + (2*i - i - 3*i)*(3*i - 2*i + 3*i). -28*i**2 Expand (224 + 9*n**2 + 28*n**2 - 223)*(3*n**3 + n**2 - n**2). 111*n**5 + 3*n**3 Expand -2 + n**3 + 0 + 0*n**3 + (-4*n + 0*n + 5*n)*(-3*n**2 + 2*n**2 - n**2) + 2*n**3 + 0*n**3 + n**3. 2*n**3 - 2 Expand (7*d**2 - 7*d**2 + 4*d**3 + (2*d**3 + 3*d**2 - 3*d**2)*(-4 + 2 + 0) - 3*d**3 - 3*d**3 + 5*d**3)*(-3 + 3 + 3*d). -3*d**4 Expand (-2*z**2 - z**4 + 2*z**2)*(0*z - 3*z + 4*z) - 14*z**4 + 2*z**2 - 2*z**5 + 9*z**5 + 13*z**4. 6*z**5 - z**4 + 2*z**2 Expand (3 + 2*k**2 - 19*k - 16*
{ "pile_set_name": "DM Mathematics" }
j(z) wrt z. -4 Let m = -17 + 11. Let n(v) = 44*v**2 + 15*v. Let l(f) = -15*f**2 - 5*f. Let h(s) = m*n(s) - 17*l(s). What is the second derivative of h(o) wrt o? -18 Let h(i) = 2*i**3 + i**2 - i. Let b be h(1). Find the second derivative of -124*a**2 + a - 3*a**3 + 124*a**b wrt a. -18*a What is the third derivative of -6*v**4 - 3*v**3 + 2*v**2 + 3*v**3 + 6*v**2 wrt v? -144*v Let n(s) be the first derivative of 0*s**3 + 0*s**2 - 3 - s + 1/4*s**4. Find the first derivative of n(u) wrt u. 3*u**2 Let q(p) = p**5 - p**4 - p. Let l(m) = -3*m**5 - 6*m**4 - 4*m. Let g(f) = -l(f) + 6*q(f). What is the second derivative of g(z) wrt z? 180*z**3 Let w(m) be the third derivative of -m**9/30240 + m**6/240 + m**5/20 - 2*m**2. Let n(o) be the third derivative of w(o). Differentiate n(a) with respect to a. -6*a**2 Let d be 66/14 + 4/14. Let v be (-1 - -2)*10/d. What is the third derivative of -2*w**3 + 2*w**2 + 6*w**2 - 5*w**v wrt w? -12 What is the first derivative of 17*m**3 + 2*m**3 - m + m + 23 wrt m? 57*m**2 Let v(j) = -21*j**4 - 30. Let m(p) = 10*p**4 + 15. Let b(o) = 5*m(o) + 2*v(o). Find the first derivative of b(i) wrt i. 32*i**3 Let o(u) = 3 - 2 + 6*u**4 - 2*u**4. Let p(r) = 6*r**4 + 1. Let b(m) = 8*o(m) - 5*p(m). What is the derivative of b(n) wrt n? 8*n**3 Let f(m) be the third derivative of -m**4/24 - 2*m**3/3 - 2*m**2. Let s be f(-6). Find the third derivative of h**2 + s*h**6 + h - h wrt h. 240*h**3 Suppose -3*d + 3 + 6 = 0. Let j be -1 + 0 + d/1. Find the third derivative of -r**6 + 2*r**6 - 2*r**6 + 0*r**2 - 3*r**j wrt r. -120*r**3 Let d(c) be the second derivative of -3*c**5/4 - 11*c**2/2 + 22*c. What is the first derivative of d(f) wrt f? -45*f**2 Let q(o) = 22*o**2 + 10*o - 2. Let a(j) = -66*j**2 - 31*j + 7. Let u(p) = -2*a(p) - 7*q(p). What is the second derivative of u(b) wrt b? -44 Let i be (0 - -5) + -1 + -1. Suppose i*v = -v + 20. What is the third derivative of v*o**3 - 5*o**3 - o**2 + 2*o**5 wrt o? 120*o**2 Let l(n) = 9*n**5 + 5*n**3 - 10*n + 5. Let v(u) = -4*u**5 - 3*u**3 + 5*u - 3. Let q(m) = 3*l(m) + 5*v(m). What is the second derivative of q(h) wrt h? 140*h**3 Let o(y) be the second derivative of 10*y**3 - 19*y**2/2 + 11*y - 1. Find the first derivative of o(t) wrt t. 60 Let o(c) = 8*c**2 - 4*c + 31. Let f(v) = 8*v**2 - 5*v + 32. Let z(i) = -4*f(i) + 5*o(i). What is the first derivative of z(t) wrt t? 16*t Let b(z) be the second derivative of -1/2*z**3 + 0*z**2 + 0*z**4 - 1/42*z**7 + 0*z**5 + 0 - 2*z + 0*z**6. Find the second derivative of b(a) wrt a. -20*a**3 Find the third derivative of 3*j**5 - j**2 - j**5 + 4*j**5 + 4*j**5 wrt j. 600*j**2 Let z(x) = -x. Let c(d) = -1. Let n(j) = -2*c(j) - z(j). Differentiate n(i) wrt i. 1 What is the derivative of 391*r**4 + 14 + 24 - 436*r**4 wrt r? -180*r**3 Let u be -3 - -3 - 1*-5. What is the third derivative of 10*i**2 - 6*i**5 + 0*i**5 + 3*i**u - 16*i**2 wrt i? -180*i**2 Let d = 34 - 34. Let r(m) be the second derivative of -2*m + 0 + 1/12*m**4 + d*m**3 + 1/2*m**2. What is the first derivative of r(h) wrt h? 2*h Let o(s) be the first derivative of -5*s**6/3 + 2*s**3 + 3. What is the third derivative of o(h) wrt h? -600*h**2 Let t = -3 - -5. Suppose l + 2 = t*l. Find the third derivative of -2*g**2 + 4*g**l - 3*g**4 + 4*g**4 wrt g. 24*g Let c(h) = -h**2 + 8*h - 6. Let w be c(6). What is the third derivative of 2*s**w + 2*s**6 - 2*s**2 + s**2 + 2*s**2 wrt s? 480*s**3 Let w(p) be the third derivative of -p**6/60 - p**5/40 + 5*p**3/6 - 2*p**2. Let k(j) be the first derivative of w(j). Find the second derivative of k(f) wrt f. -12 What is the second derivative of -2*a - 17*a**5 + 18*a**5 + 2 + 4*a**5 wrt a? 100*a**3 Let k(v) be the third derivative of -3*v**7/35 + 37*v**3/6 - 12*v**2. What is the first derivative of k(j) wrt j? -72*j**3 Let y(d) = 10*d**4 - 2*d**3 + 2*d**2 + 7*d. Let k(i) = 11*i**4 - 3*i**3 + 3*i**2 + 6*i. Let l(u) = 2*k(u) - 3*y(u). Find the second derivative of l(s) wrt s. -96*s**2 Let v(g) = g**2 + g + 1. Let d(r) = 18*r**2 + 16*r + 3. Let b(y) = d(y) - 3*v(y). What is the second derivative of b(z) wrt z? 30 Let z = 8 - 6. Suppose z*t = 1 + 3. Differentiate v**4 + 1 - 3*v**4 + t wrt v. -8*v**3 Let j(q) = q. Suppose 0 = c - 3*c - 5*x - 11, -3*c - 5*x - 19 = 0. Let r(s) = -
{ "pile_set_name": "DM Mathematics" }
(w) = 6*w - 18. Let c be s(6). Calculate the greatest common divisor of c and o. 9 Let j be (4*1)/(6/(-36)). Let m be (-9)/j*-2*-60. Suppose 0 = 4*k - 16, 3*p + k - 9 = 22. Calculate the highest common divisor of p and m. 9 Suppose 2*l = -0*l + 4. Let r be 22/(3*l/33). Calculate the greatest common divisor of 11 and r. 11 Let d be 8 + -8 + 5*2. What is the highest common divisor of 50 and d? 10 Let q = 64 + -61. Calculate the highest common divisor of 39 and q. 3 Suppose -22 = 2*h + 28. Let x = h - -35. What is the greatest common factor of 90 and x? 10 Suppose -v - 2*l = 11, 2*l = 4*v - 5 - 1. Let t be -15*(-2)/(7 + v). Calculate the highest common divisor of t and 15. 5 Let b be (-975)/(-6) + (-6)/4. What is the greatest common divisor of 23 and b? 23 Suppose 63 = 5*r - 457. Let z(m) = 5*m - 9. Let g be z(7). What is the greatest common factor of r and g? 26 Suppose -9*a + 1375 = -4*a. Suppose -4*o = o - a. Calculate the greatest common divisor of o and 5. 5 Let b(w) = w**2 - 7. Let a be b(0). Let c = a + 12. Suppose -u + 4*t = u - 16, -2*u = c*t - 7. What is the greatest common divisor of 54 and u? 6 Let p be 1 + 1 - (-5 - 1). Let y = 28 - p. What is the highest common factor of 80 and y? 20 Let g = 62 - -64. What is the highest common factor of 18 and g? 18 Let a = 948 + -644. What is the highest common divisor of a and 38? 38 Let f be 1 - -8 - (2 - 3). Let q = -1 + f. Let y = 24 - -21. What is the greatest common divisor of q and y? 9 Suppose 0*d = 2*d - 48. What is the highest common factor of d and 8? 8 Let g = 8 - 0. Calculate the greatest common divisor of g and 56. 8 Suppose -2*d = 5*f - 18 - 677, 0 = 2*d - 4*f - 668. Let o = -186 + d. What is the greatest common divisor of o and 14? 14 Let x(y) = -y**3 - 7*y**2 + 9*y + 4. Suppose 9 = 2*a - 3*a. Let p be x(a). What is the highest common divisor of 34 and p? 17 Let f = 46 + -19. Calculate the highest common factor of f and 3. 3 Let u be ((-6)/(-9))/((-2)/(-15)). Suppose -9 = 3*q, u*j - 4*q + 73 = 195. Calculate the highest common divisor of 44 and j. 22 Suppose 16 = i - 3*d, 0*d = i + 2*d - 16. Let w = -8 + i. Calculate the highest common divisor of 24 and w. 8 Let f = 2 - -3. Suppose -f*s = -0 - 10. Suppose -s = -a + 6. What is the greatest common divisor of a and 64? 8 Let p = -31 - -45. Let u(y) = -18*y**2 - 3*y - 1. Let r be u(3). Let c = -74 - r. Calculate the greatest common divisor of p and c. 14 Suppose -4*f + 2*f + 148 = 0. Let c = f + -47. What is the greatest common factor of c and 27? 27 Let o be (80/56)/((-2)/(-42)). Calculate the greatest common divisor of 12 and o. 6 Let y = 5 + 0. Suppose 0 = 2*x + y*m - 40, 2*m + 35 + 7 = 5*x. What is the highest common factor of x and 20? 10 Suppose 8*g - 9*g + 72 = 0. What is the highest common factor of g and 8? 8 Suppose 320 = 7*i + 3*i. Calculate the highest common factor of i and 256. 32 Let j(x) = 44*x**2 + 3*x - 3. Let i be j(1). Calculate the greatest common divisor of i and 11. 11 Suppose j - 2 = -b, b = 2*j - 2*b - 19. Suppose 3*z - j*p - 32 = 61, 0 = -2*z - 4*p + 84. Suppose z = 4*h - 8. Calculate the highest common divisor of 1 and h. 1 Let z be (-1)/((-4)/36*1) + 3. What is the highest common divisor of z and 120? 12 Let g(a) = -a + 11. Let y be g(-10). Calculate the greatest common factor of 7 and y. 7 Suppose -5*v + 66 = 5*l - 104, -5*v - 130 = -5*l. Calculate the highest common divisor of l and 30. 30 Suppose u = 2*u. Suppose -5*p = -4*x - 9, u = 3*p - 0 - 15. Suppose -x*t = 2*z - 10, -3*t + 2*z + 9 = 3*z. Calculate the highest common factor of 6 and t. 2 Let v be 2 + 0 + 2 + -2. Let u be v + -1 + 3 + -1. What is the highest common factor of 3 and u? 3 Let r = -4 - -6. Suppose -2*d + 3 = -p + r*d, 3*d = -3. Let i = 18 + p. What is the highest common divisor of i and 88? 11 Let v = -18 + 20. Suppose -5 = 4*i - 3*r - 19, i = 5*r + 12. Suppose 0*q - 18 = -s - v*q, i = q. What is the greatest common divisor of s and 126? 14 Suppose 4*p - 158 = 290. Let b(w) = 14*w**3 - w**2 + 1. Suppose 3*l + 2*l = 5. Let g be b(l). Calculate the greatest common factor of g and p. 14 Let i be ((-6)/(-8))/((-4)/(-16)). Suppose -2*y - i*y = -300. Suppose 3*z = -h + 24, 0 = h + 5*z - 32 + 2. Calculate the greatest common factor of h and y. 15 Let q = 0 - -5. Let p = -19 - -39. Let k = 35 + p. What is the greatest common divisor of q and k? 5 Let l be 7/(-4)*1*-8. Calculate the highest common divisor of 70 and l. 14 Suppose 16 = p - 4*s, -p + 3*s + 13 = 2*s. Let m be ((-16)/(-4) - 2) + 82. What is the greatest common divisor of p and m? 12 Suppose -6*n + 3*n - 1050 = 0. Let p = -170 - n. Calculate the highest common divisor of 20 and p. 20 Let t be (2/(-3))/(4/(-42)). Calculate the greatest common divisor of t and 14. 7 Let o(p) = -p**3 + 8*p**2 - 7*p + 2. Let x = -9 - -16. Let n be o(x). Suppose 12 = -2*b - n*b, 4*f - 55 = b. Calculate the highest common divisor of f and 104. 13 Suppose -5*k - 30 = -5*z, -k + 3*k = -5*z + 58. Calculate the greatest common factor of 80 and z. 10 Let k be ((-21)/6 - -2)*-12. Let h be (-16)/2*4/(-8). Suppose 21 = 2*i - 3*t, h*i = i - 5*t + 22. What is the greatest common factor of k and i? 9 Suppose 3*c = f + 3 - 23, -30 = 5*c - f. Let o = c + 17. What is the highest common divisor of 36 and o? 12 Suppose 2*p = -0*p + 6. Let m(s) = -s + 1. Let x be m(-8). What is the greatest common divisor of x and p? 3 Let y(t) = 6*t**2 + 7*t - 2
{ "pile_set_name": "DM Mathematics" }
positive. y**(8/5) Simplify (n*n/(n**(-2)/n))/n**(-1/7)*(n/(n*n/((n**(2/5)*n)/n*n)*n))**(-1) assuming n is positive. n**(201/35) Simplify ((y**0/y)/y*y)/y**(1/6)*(y**0*y)**(-30) assuming y is positive. y**(-187/6) Simplify s*s/((s/s**(1/4)*s)/s*s*s)*s**12 assuming s is positive. s**(45/4) Simplify ((m*m**(2/15))/(m/(m/m**2)))/((m**(-1/6)*m)/m*m/(m**(-2)/m*m)) assuming m is positive. m**(-37/10) Simplify m/m**(-14)*m*m**(1/10) assuming m is positive. m**(161/10) Simplify a**(-4)/(a*a**(-3/10))*(a**(-2/7)*a)/(a*a**(-1)) assuming a is positive. a**(-279/70) Simplify (((w/w**0)/w)**(-22))**0 assuming w is positive. 1 Simplify ((((l/l**(2/3))/l*l)/l)/(l**0*l))/((((l**(1/13)*l)/l)/l*l)/((((l/l**(-1))/l)/l)/l)) assuming l is positive. l**(-107/39) Simplify (w*w/w**(-1))/(w/w**(-2/15))*(w*w*w/(w/(w**(-1/4)*w))*w*w*w)/(w**5*w) assuming w is positive. w**(97/60) Simplify ((w*w*w**16*w*w*w)/((w*w/(w/((w*w*w**(1/5))/w)))/w))**(-9/5) assuming w is positive. w**(-891/25) Simplify ((o/(o*o*o**(2/3)))/o)/(o*(o*o*(o/o**(-1/26))/o)/o) assuming o is positive. o**(-367/78) Simplify ((g*g/g**(-3))/g**(1/3))**10 assuming g is positive. g**(140/3) Simplify (m**(-2/7)*m*m)/((m**0*m)/m*m)*(m/(m*m**2/m))**(-11) assuming m is positive. m**(82/7) Simplify (f/(f/(f/(f*f*(f*f**(-11))/f))))/(f/(f**(-5/4)/f)*f) assuming f is positive. f**(23/4) Simplify (b**2/(b*b**(-1/4)))/(b**5*b*b*b/b**0) assuming b is positive. b**(-27/4) Simplify (v/((v**0/v)/v*v)*v)**(-1/15)*((v/v**(-1))/v)**22 assuming v is positive. v**(109/5) Simplify ((k**(-1))**(25/6))**13 assuming k is positive. k**(-325/6) Simplify s/s**30*s**(-25/2)*s assuming s is positive. s**(-81/2) Simplify (b/(b*(b**(-3/2)*b)/b)*b*b*b)**(-34) assuming b is positive. b**(-153) Simplify (u*u*u*u/(u/u**(-1/4))*u)/u**(-8) assuming u is positive. u**(47/4) Simplify (h*h**(-2/27))/(((h*h*h**(8/3))/h)/h) assuming h is positive. h**(-47/27) Simplify ((o*o*(((o*o**(-12))/o*o*o)/o*o)/o*o)/(o/(o/(o**(-8)*o))*o))**(-2/55) assuming o is positive. o**(4/55) Simplify ((g**0/g*g)/g)**(3/13)*(g/(g/((g*g*g**(-5/4)*g*g)/g)*g))/g*g*g**(1/3) assuming g is positive. g**(133/156) Simplify ((u**(2/17))**(-41))**1 assuming u is positive. u**(-82/17) Simplify d*d**(-2/7)*d**2/d assuming d is positive. d**(12/7) Simplify (a**0)**(-9/5)*(((a/(a*a**(-2/7)*a*a))/a)/a)**(4/11) assuming a is positive. a**(-104/77) Simplify (c/c**16*c)**10 assuming c is positive. c**(-140) Simplify q*q*q*q/q**2*q**(-17) assuming q is positive. q**(-15) Simplify (x/x**3*x*x*x*x**(1/3)*x*x*x*x)/((x/(x**7/x)*x)/(x**(-6)*x)) assuming x is positive. x**(13/3) Simplify (z/(z/(z*z*z**6*z)*z))**(36/7) assuming z is positive. z**(288/7) Simplify (w*w**17)**(-32) assuming w is positive. w**(-576) Simplify (q*q*(q*q**(-4/21))/q*q*q)**27 assuming q is positive. q**(720/7) Simplify f**(-2/17)*f*(f/(f/(f*f**(-1/21)/f)))/f assuming f is positive. f**(-59/357) Simplify (v**(3/5)/v*v*v)**(-4/5) assuming v is positive. v**(-32/25) Simplify ((g/(g**(-26)/g))/g)/(g**(-7)/g) assuming g is positive. g**35 Simplify (y**(-2/19))**(3/5) assuming y is positive. y**(-6/95) Simplify (((p/(p/(p*p**6)*p))/p)/p)/(p*p**(1/17)) assuming p is positive. p**(50/17) Simplify (f**(-2/17)*((f/(f*f**2)*f)/f)/f)**(-5) assuming f is positive. f**(265/17) Simplify (v*v*v/v**(-2/15)*v**(-2/11))/(v**(-5)*v**(-3/7)) assuming v is positive. v**(9679/1155) Simplify ((o**(-1/3))**48)**49 assuming o is positive. o**(-784) Simplify ((f**(-2/33)/f)**(-1/14))**33 assuming f is positive. f**(5/2) Simplify n*n**2*n**(-2/33) assuming n is positive. n**(97/33) Simplify z/(z/(((z**(-13/5)*z)/z)/z))*z*z*z**(2/95)/z assuming z is positive. z**(-49/19) Simplify q**(-1/3)*q*q**(13/3) assuming q is positive. q**5 Simplify m*m*m**(-2/3)*m*m**(-5/2)*m**1*m**(-2/23) assuming m is positive. m**(103/138) Simplify t/t**(-8)*t*t*t**(3/10)*t assuming t is positive. t**(123/10) Simplify ((n**(1/16)/n)/n)/n**(-2/3) assuming n is positive. n**(-61/48) Simplify ((d*d**(4/3)/d*d)/d**(1/10))/(d*d*d/(d*d/(d/d**(2/3))))**33 assuming d is positive. d**(-1253/30) Simplify f*(f*f**(-4/15))/f*f*f**(-35)*f assuming f is positive. f**(-484/15) Simplify (m**(-3/5)/m)**(-20/3) assuming m is positive. m**(32/3) Simplify ((k/(k/(k/(k*k*k*k**14))*k))/k*k)**(-13) assuming k is positive. k**221 Simplify (((i/(i/(i/(i/i**(-1/3)))))/i*i)/i**(-3/2))**(2/7) assuming i is positive. i**(1/3) Simplify ((u**(-4/3)*u)/u*u)/(u*u/(u*u*(u*u**(-2/7))/u))*(u*u/u**(-3))/(((u/(u*u**(4/9)))/u)/u) assuming u is positive. u**(430/63) Simplify (o/o
{ "pile_set_name": "DM Mathematics" }
for i. -86 Solve 2771 + 552 = 202*d - 470*d - 697 for d. -15 Solve -197*u - 119*u - 119 = -347*u + 150*u for u. -1 Solve -1591 - 265 = -193*w - 203 + 1049 for w. 14 Solve 305*x + 1344*x = 54417 for x. 33 Solve -70*k + 204 = -56*k - 224 + 36 for k. 28 Solve -37454 = 2165*g + 48684 - 1703 for g. -39 Solve 0 = -2467*f - 52278 - 125346 for f. -72 Solve -v - 137065 + 137200 = 14*v for v. 9 Solve 4723 = -61*g - 34*g - 3257 for g. -84 Solve -363400*z + 363328*z + 5925 = 885 for z. 70 Solve 0 = 104*n + 14426370 - 14423666 for n. -26 Solve 394*m - 286 = -8560 for m. -21 Solve 0 = -610*o + 2187*o - 3076 + 42501 for o. -25 Solve -3511*c + 4196*c - 97910 - 142066 = -9314*c for c. 24 Solve 24367*v - 422280 = 30577*v for v. -68 Solve 61993 + 3747 = -3952*h - 2622*h for h. -10 Solve 0 = -31*p - 216*p + 12844 for p. 52 Solve 0 = 115*d + 706732 - 710412 for d. 32 Solve -630*g = -495*g + 9855 for g. -73 Solve -1002*z + 5979*z + 545491 = -343281 + 281578 for z. -122 Solve -19*u + 260*u + 60*u + 17759 = 0 for u. -59 Solve -5279*b + 20434 = 67945 for b. -9 Solve -219*h + 532*h = -148*h - 15674 for h. -34 Solve 7950 = -943*a + 30582 for a. 24 Solve -2384*y = -2171*y + 5751 for y. -27 Solve 3316 - 2512 - 3248 = 94*g for g. -26 Solve -253*z - 75*z - 7476 = 56*z - 7092 for z. -1 Solve -141147 = 38*c - 401*c - 122271 for c. 52 Solve -4996*y = -4943*y - 1431 for y. 27 Solve 1156*h + 66442 = 19046 for h. -41 Solve -17*q + 90*q + 191*q + 12312 = -60*q for q. -38 Solve -360402*z + 360295*z = 1177 for z. -11 Solve -83*x - 4874 = -618*x + 4772 + 21384 for x. 58 Solve 89*y + 171*y + 309*y = -105*y + 70096 for y. 104 Solve -147*f - 823 + 3947 = -1556 + 417 for f. 29 Solve -768*k + 462*k - 3094 = 4250 for k. -24 Solve 293*d = -405*d + 417*d - 28943 for d. -103 Solve -985*u + 1388 = -291*u for u. 2 Solve 2849*w = -1968*w - 12682*w - 2187375 for w. -125 Solve -780*r + 18048 = 250*r - 400*r + 498*r for r. 16 Solve -1060*o - 55890 = -2923*o for o. 30 Solve -10799 = 516*t + 287*t + 1246 for t. -15 Solve -2*j - 3840 - 3494 = -152*j + 166 for j. 50 Solve -943*l + 53640 = 334*l + 511*l for l. 30 Solve 102244 = 21*j + 103693 for j. -69 Solve -471*t + 11744 = -9966 - 5137 for t. 57 Solve 8550 = 3114*q - 3304*q for q. -45 Solve -16240 = -229*j - 17385 for j. -5 Solve 182*y - 2650 + 421 - 2139 = 0 for y. 24 Solve 2635*u - 57408 = 550*u - 411*u for u. 23 Solve -429*b + 373*b - 6216 = 0 for b. -111 Solve 28*j + 714*j - 65*j - 21641 + 2685 = 0 for j. 28 Solve -1047*f - 355*f = 87*f - 282*f - 107423 for f. 89 Solve -44*z + 119415 = 116423 for z. 68 Solve 24847 = 1660*v - 19973 for v. 27 Solve 226*f + 3981 + 1526 = -74*f - 3193 for f. -29 Solve 12884 - 3384 = -475*s for s. -20 Solve -1195*z + 16571 = 439*z + 3499 for z. 8 Solve -432*t - 10024 + 2248 = 0 for t. -18 Solve 0 = 59935*a - 59552*a + 15703 for a. -41 Solve 1942 - 376 = 13*w + 248*w for w. 6 Solve 1068*m - 10239 = -7774 + 6815 + 11012 for m. 19 Solve -1341*x - 2366 = -6141 - 4271 for x. 6 Solve 27986*s + 714336 = -1778*s for s. -24 Solve -387*u = 4492 - 14554 for u. 26 Solve -1670*q = -38198 - 22963 - 8979 for q. 42 Solve 2102*a + 41759 = 205715 for a. 78 Solve -583*w + 5039 = 958 for w. 7 Solve 8*g - 72676 = 63*g - 70201 for g. -45 Solve 105*v - 134484 = 6483*v + 4829*v for v. -12 Solve 442*n - 1449*n - 1286*n - 89427 = 0 for n. -39 Solve 0 = 980*a + 62*a + 762*a - 5412 for a. 3 Solve -910*k - 30758 = 254*k - 17265 + 35395 for k. -42 Solve -301*v + 770*v = -302*v - 11247 + 453 for v. -14 Solve 0 = -3834*c + 124473 + 17385 for c. 37 Solve -33*z - 1120 = 35*z + 50*z + 3246 for z. -37 Solve -4*i + 3900 = 26*i - 52*i - 56*i for i. -50 Solve 5270*c + 697 + 551 = 5238*c for c. -39 Solve 1790*z - 71644 - 12486 = 0 for z. 47 Solve 7641*t + 9163 = 6808*t for t. -11 Solve -552*g + 523*g - 36994 = 320*g for g. -106 Solve 3528029*y - 1271 = 3527988*y for y. 31 Solve 3500 = -493442*g + 493192*g for g. -14 Solve -887*x - 8023 = 56728 for x. -73 Solve 436*f - 9043 - 18425 = 0 for f. 63 Solve 169*r - 1211 + 615 + 4057 = -3637 for r. -42 Solve -20623 = -745*m + 525*m + 424*m - 631 for m. -98 Solve 1577*z + 20621 = -69268 for z. -57 Solve 79314 - 21804 = 1278*q for q. 45 Solve -4555*g + 217430 = 4311*g - 234736 for g. 51 Solve 2491*n + 176 = 2473*n - 850 for n. -57 Solve 48*q - 4941 + 9772 - 4351 = 0 for q. -10 Solve -25
{ "pile_set_name": "DM Mathematics" }
(i) + 11*w(i). What is the derivative of y(m) wrt m? 60*m**2 Let b(a) = -a - 3. Let h be b(-5). Let l be 12/2 + (-15)/5. What is the second derivative of l*w + w**2 - 6*w + w**h wrt w? 4 What is the third derivative of 10*z**2 - 28*z**5 - 19*z**5 + 25*z**5 wrt z? -1320*z**2 Let c = -17 + 30. Suppose 5*f = -2 - c, -3*x - f = -6. What is the third derivative of -2*w**5 - x*w**5 + 2*w**2 + 3*w**5 wrt w? -120*w**2 Suppose -2*p + 5*x = 2*p + 7, 3 = -2*p + 3*x. Let a be ((-1 - p) + -3)/(-1). Find the second derivative of -b - 2*b**5 - 1 + a wrt b. -40*b**3 Let q = -12 - -14. Find the third derivative of 5*s**2 - s**5 + 6*s**5 + 2*s**2 - 2*s**q wrt s. 300*s**2 Let c(a) be the first derivative of -10*a**7/7 + a**3/3 - 7. Find the third derivative of c(z) wrt z. -1200*z**3 Let n(r) be the second derivative of -1/4*r**4 + 0 + 0*r**2 - 1/20*r**5 + 5*r + 0*r**3. What is the third derivative of n(z) wrt z? -6 Let a(i) = -5*i + 15. Let g(t) = -3*t + 8. Let z be (-1 - -2)*-2 + 8. Let u(q) = z*a(q) - 11*g(q). Find the first derivative of u(c) wrt c. 3 Suppose -2*a + 8 = -2. Find the third derivative of -6*d**2 - d**a - d**5 + 3*d**2 wrt d. -120*d**2 Let n(p) be the third derivative of p**5/20 + 3*p**4/8 - 2*p**2. Find the second derivative of n(c) wrt c. 6 Let a(l) = l + 2*l + 6 - 5. Let h(o) be the first derivative of o**2/2 - 1. Let p(z) = 2*a(z) - 4*h(z). Differentiate p(g) wrt g. 2 Let b = -4 + 7. Let v = b + 1. Find the first derivative of -6*s**v + 0 + 4*s**4 - 2 wrt s. -8*s**3 Let p(f) be the third derivative of f**7/840 + f**6/90 + 2*f**3/3 + 4*f**2. Let h(j) be the first derivative of p(j). Find the third derivative of h(a) wrt a. 6 Let y(i) be the third derivative of 0 + 0*i**5 + 1/60*i**6 + 0*i + 1/2*i**3 + 0*i**4 + 2*i**2. What is the first derivative of y(r) wrt r? 6*r**2 Let f = 20 - 18. Find the second derivative of 3*b + f*b + 2*b + 5*b**2 - b wrt b. 10 What is the derivative of 0 - 4*h - 11 - 5 wrt h? -4 Let s(x) = 38*x**4 - 26*x**2 - 17*x + 17. Let v(o) = -13*o**4 + 9*o**2 + 6*o - 6. Let r(k) = -6*s(k) - 17*v(k). What is the third derivative of r(c) wrt c? -168*c Suppose 0 = 2*j + 4*p - 14, 0*p = 2*p - 4. Let w be (-1 - -2)/((-1)/(-2)). What is the third derivative of -2*l**w - 4*l**3 + j*l**3 - 2*l**3 wrt l? -18 Let y(f) = -50*f**2 - 27*f + 3. Let x(q) = 50*q**2 + 29*q - 2. Let b(s) = 5*x(s) + 4*y(s). What is the second derivative of b(v) wrt v? 100 Let g(c) be the second derivative of 2*c**7/21 + c**4/4 + 2*c. Find the third derivative of g(d) wrt d. 240*d**2 Let g(x) = -x + 4. Let y be g(2). Find the third derivative of 0*d**2 + 6*d**2 - 4*d**5 + 3*d**5 - 3*d**y wrt d. -60*d**2 Suppose 0*q = q. What is the first derivative of 2*z + 2*z + q*z + 2 wrt z? 4 Let i = 1 - -3. What is the second derivative of 0*g - 2 - g**5 + i*g + 2 wrt g? -20*g**3 Let w(p) = -48*p**2 - 13*p. Let v(b) = b**2. Let y(f) = -6*v(f) - w(f). What is the second derivative of y(s) wrt s? 84 Let x(g) be the first derivative of 0*g**2 + 0*g + 1/3*g**3 + 5/6*g**6 + 1 + 0*g**5 + 0*g**4. Find the third derivative of x(r) wrt r. 300*r**2 Let p(c) be the third derivative of 13*c**8/168 + 23*c**4/24 - 22*c**2. Find the second derivative of p(q) wrt q. 520*q**3 Suppose -5*h + 24 = -h. What is the second derivative of b**4 + b**4 + h*b**4 + b wrt b? 96*b**2 Suppose -1 = -5*o + 14. Let v(l) = 2*l - 7. Let w be v(7). What is the first derivative of 5*n**3 - w*n**3 + 5*n**o - 2 + 0*n**3 wrt n? 9*n**2 Let b(f) = 2*f**2 - 7*f - 3. Let n(h) = 4*h**2 - 14*h - 7. Let m(v) = -7*b(v) + 3*n(v). What is the second derivative of m(t) wrt t? -4 Let z(b) be the second derivative of b**8/6720 - b**5/30 + b**4/3 + 3*b. Let n(q) be the third derivative of z(q). What is the first derivative of n(d) wrt d? 3*d**2 Let t(y) be the first derivative of 71*y**2/2 - 16*y - 2. Differentiate t(l) wrt l. 71 Suppose -9 = -2*d + 3. What is the third derivative of -17*k**2 - 4*k**6 + 2*k**6 + 4*k**d + 14*k**2 wrt k? 240*k**3 Let i(a) = 3*a**2 - 1. Suppose -3*j - 2*j + 4*u = 13, 0 = -2*j + 3*u - 8. Let o be i(j). What is the third derivative of o - 2*s**5 - 2 + s**2 wrt s? -120*s**2 Let r(h) = 174*h**3 + 85*h**2 + 11*h + 11. Let s(p) = 35*p**3 + 17*p**2 + 2*p + 2. Let x(a) = 2*r(a) - 11*s(a). What is the third derivative of x(y) wrt y? -222 What is the second derivative of 5*m - 9*m - 5*m**5 + 0*m**5 wrt m? -100*m**3 Let o be 0 - (-2 - -1)*4.
{ "pile_set_name": "DM Mathematics" }
value of (-5 + 2 - 1) + -1 + 1? -4 Calculate 7 + (-3 - (0 - -5)). -1 Evaluate 4 - (3 - 5) - (3 + -2). 5 Evaluate (-6 + 15 - 7) + 3. 5 Evaluate 7 + (3 - -4 - 15). -1 4 + 3 + -15 - -5 -3 What is -5 + (6 - 4) - 1? -4 Calculate -10 + (20 - -4 - 8). 6 Evaluate 3 + 2 + -1 + -2. 2 What is the value of -14 + (-1 - (3 - 11))? -7 Calculate -3 + -5 + 9 - -5. 6 Calculate 9 + -3 + (0 - 3). 3 (-2 - (-6 + -7)) + -6 - 8 -3 Calculate 7 - 1 - (-9 - -13 - -9). -7 What is (6 - 2 - 1) + 0? 3 0 - 6 - (-6 + -2 - -11) -9 What is -5 + 18 + -3 - (14 + -10)? 6 What is the value of -1 - (-3 + 2 - -4)? -4 What is the value of -4 + -5 + 9 + -3 + 2? -1 -6 - ((-2 - -5) + -1 - 8) 0 Evaluate 0 + -1 - (1 + -4 - 1). 3 Evaluate 4 - (-5 - (-3 - 2)) - 4. 0 What is 2 + (1 - 4) - -2? 1 Evaluate 0 - 2 - -5 - (9 + -7). 1 What is the value of 2 - 0 - -2 - (-6 + 9)? 1 Calculate 2 + -8 - (8 - 2 - 8). -4 What is (1 - 2) + (-11 - (6 - 14))? -4 (-1 - 0) + 0 + 0 - -1 0 What is the value of -2 + (3 - (5 - 3))? -1 (2 - (-1 + 0) - 5) + -3 -5 What is the value of -6 + (4 - (0 - -4))? -6 What is the value of -1 - 0 - (-6 - (-1 - 8))? -4 Calculate -4 + (-5 - (-6 + -7)). 4 What is 11 - (14 + (9 - 13))? 1 Calculate 0 - (14 + -5 - 7). -2 3 - 1 - (9 + 0 - 11) 4 Calculate (-2 + 1 - -1) + 8. 8 What is (14 - (6 + 6)) + 5? 7 Calculate 0 - -1 - (-7 - -10). -2 6 + 2 + -7 + (1 - -2) 4 What is 10 + -18 - -13 - (15 - 2)? -8 What is -5 - ((6 - 2) + 0)? -9 What is the value of 2 - 2 - (2 - -3 - 4)? -1 Evaluate (-13 - 0) + 10 - (-1 + 2). -4 Calculate 7 + -12 - ((1 - -1) + -6). -1 3 + 2 + 1 + (4 - 9) 1 Calculate (56 - 47) + -10 + -1. -2 What is the value of (0 + 2 - 0) + 1 - 3? 0 Calculate 0 + (-1 + 5 - 2). 2 What is 7 + (3 + -9 - -3) + 0? 4 What is -4 - (-11 + 4 + 4) - 5? -6 (3 - (13 + -26)) + 2 + -10 8 What is the value of -11 + 1 - -3 - -6? -1 What is -9 - ((2 - -8) + -16)? -3 13 + (-11 - -1) + -4 -1 What is -30 - (-12 - 1) - -11? -6 Calculate 3 - (-5 + -5 + (-3 - -14)). 2 Calculate -1 + 0 + -2 + -5 + 4. -4 Calculate 2 + 0 - (1 + 2 - 3). 2 1 + 0 - 3 - (-17 + 13) 2 Evaluate (3 - (5 + 0)) + 3 - 7. -6 Evaluate 4 + (-11 - (-7 + 3)). -3 What is 8 - (-7 + 12) - (6 - 8)? 5 What is the value of -1 + (6 - (-11 + 16))? 0 (0 + -9 - -4) + (1 - 1) -5 -11 + 17 + -2 + -1 3 What is the value of 2 - (4 + -2 - 0)? 0 Evaluate 2 + (2 + -4 + -2 - -2). 0 Evaluate -2 + (4 + -6 - 0 - 1). -5 What is 5 - ((6 - 3) + -2) - -2? 6 What is 13 + -5 + -10 + 6 + 1? 5 What is the value of -7 - (-14 + 1 - (60 + -57))? 9 Evaluate -1 + 3 + -4 + 2. 0 What is -6 - (5 + 6 - 14)? -3 Evaluate 5 - (8 - -4) - -5. -2 What is (-4 + 5 - 5) + 5 + -7? -6 (-5 - -10) + -6 - -3 2 -4 - ((-7 - -3 - -6) + -6) 0 23 + -31 - (-2 - 2) -4 What is the value of (1 + -5 - 0) + 0 + 5? 1 What is 1 + 3 - (-1 + 3) - 2? 0 What is (2 - (-2 + (3 - 1))) + 3? 5 Evaluate -21 - (-12 - -4) - (0 - 5). -8 Calculate 0 + (1 - 2 - 3 - -1). -3 Evaluate 4 - (5 + 5 + -6). 0 What is -2 + (0 - 5) + 5? -2 Calculate 1 - ((-4 + 3 - 0) + 5). -3 1 + 1 + 3 - (-3 - -3) 5 What is the value of 2 + (-8 - (0 + -4)) + 4? 2 Calculate -4 - (2 - (16 + -3)). 7 Calculate (3 - 3 - (6 + -4)) + -1. -3 What is the value of 4 - 6 - (-9 + 2)? 5 Evaluate (-1 - 0) + -2 - (8 - 6). -5 -3 + (15 - 6) - 5 1 What is (-4 - -4 - -2) + 1? 3 -2 + -10 + 10 + 0 + 1 -1 What is the value of (-4 - (-7 + 3)) + 4? 4 Calculate -7 + (5 - (-4 + 1 + 4)). -3 Calculate 0 + 8 - (-120 - -132). -4 Calculate 1 - ((-2 - 2) + 7). -2 What is the value of -4 - 1 - (3 - 0) - -4? -4 (2 - 0 - 3) + (-1 - -1) -1 Calculate -3 - (4 + (3 - 6)). -4 What is 0 - 2 - ((7 - 1) + -3)? -5 What is 6 - (1 + 0) - (25 - 22)? 2 (-3 - 0) + 7 + -4 0 Evaluate 1 - (-5 - -5) - (-1 + 7). -5 Calculate 1 + (-3 - -1) + 34 + -37. -4 What is 2 + -6 - (0 - 9 - -5)? 0 What is 1 - (0 + 5 + -9)? 5 Calculate 6 - (0 - -5) - -3. 4 What is 0 - (2 + 1 + 10 + -12)? -1 184 + -185 - (1 + 0) -2 What is the value of 9 - (-3 + 2 + (-3 - -5))? 8 8 + -10 + (0 - -2) 0 What is the value of 9 + -1 - (-59 + 66)? 1 Evaluate -12 + (-14 - -27 - 3). -2 (17 - 13) + 0 + -4 0 What is 5 - 3 - 6 - -2? -2 What is
{ "pile_set_name": "DM Mathematics" }
+ 2*k) - 2*k - 3*k + 6*k + 2*k + 3 - 3 + (2*k - 1 + 1)*(4 + 1 - 4). 6*k Expand (3*d**5 - 6*d**5 + 2*d**5)*(0 + 0 + 2) + (-3*d + 3*d - d)*(1538 - 59*d - 1538)*(5*d - 4*d**3 - 5*d). -238*d**5 Expand 18*k**2 - 67*k**2 + 32*k**2 + (-k**2 - 1 + 1)*(-2 - 1 + 4) + 0*k + 0*k - k**2 - k**2 - 2*k**2 + k**2 - 4*k**2 + 4*k**2 + k**2. -20*k**2 Expand (g + 7*g + 0*g)*((-9 + 0 - 1)*(7 - 19 - 4) + (4 + 1 - 6)*(-3 + 1 + 3)). 1272*g Expand (0*w**2 - 3*w**2 + 4*w**2)*(-w + 0 + 0) + 3*w**2 - 3*w**2 + 2*w**3 - 12443 - w**3 + 3*w**3 + 11764. 3*w**3 - 679 Expand (2*r - 4 + 4)*(-4 + 4 + 2*r) + 20148*r - 20148*r - 725*r**2. -721*r**2 Expand -5*i**3 + 4*i**3 - i**3 + (-8*i**2 - 3*i**2 + 4*i**2)*(-2*i - 3 + 3 + (3 - i - 3)*(1 + 0 - 2)). 5*i**3 Expand -4*c**2 + 3*c**2 - 2*c**2 + (-2 + c + 2)*(-6 + 6 - 8*c) + (1 - 5 + 1)*(-4*c**2 - 2*c**2 + 4*c**2) - 2*c**2 + 4*c**2 + 0*c**2 - c**2 + c - c. -4*c**2 Expand (0*o + 2*o - 3*o)*(-6 + 4 + 0)*(19 + 67 + 63). 298*o Expand (-2 + 1 - 5)*(7 + 2 - 4)*(2 - 4 + 0)*(-5 + 1 + 3)*(-8*m**4 + 11 - 11). 480*m**4 Expand 0*b**3 - 4*b**3 + 0*b**3 + (4*b - 3*b - 2*b)*(-b**2 + b**2 + 2*b**2) + 44*b + 22*b**3 - 44*b. 16*b**3 Expand (-3*g**2 + 6*g**2 - g**2)*(4 - 1 - 4 + (1 - 11 + 3)*(-3 - 1 + 6) + 2 + 7 - 5 - 1 + 1 + 2)*(2*g**2 + g**2 - g**2). -36*g**4 Expand (-h**2 + 1 - h**2 + 0 - h**3)*(-65 + 65 - 3*h). 3*h**4 + 6*h**3 - 3*h Expand (1 - 1 - 2*l**2)*(-2*l**2 + l - l) + (-4*l + 4*l + l)*(2 - 5 + 5)*(-16 + 16 + 7*l**3). 18*l**4 Expand (-2 + 4 + 5)*(0*c - 4*c + 5*c + (43*c + 41*c - 93*c)*(-1 - 1 + 1)). 70*c Expand (v - 4*v + 5*v)*(v - 2*v + 4*v) + 2*v**2 + v - v + (4*v + 3*v - 4*v)*(4*v - 5*v + 0*v) - 6 + 2*v**2 + 6. 7*v**2 Expand -3*c**4 + 4*c**4 + c**4 + (6*c - 23*c + 7*c)*(-3*c**3 + 2*c**3 + 2*c**3). -8*c**4 Expand (-189 + 189 + 28*o)*(2*o**4 - 3*o**4 + 3*o**4) - 1 - 1 - o**5 + 4. 55*o**5 + 2 Expand -3*k**2 + 7*k**2 - k**2 + (-k - 1 + 1)*(2 - 2 - 2*k) + (0*k**2 - k**2 + 0*k**2)*(-1 - 2 - 1) - 5 - 3*k**2 + 5. 6*k**2 Expand (6*r**2 - 4*r**2 + 5*r**2)*(-7*r - 14*r - 3*r). -168*r**3 Expand (-n + 3*n + 0*n)*(-25 + 2 - 6). -58*n Expand ((0*a + 2*a - a)*(-6 + 0 + 4) + a - 4*a + 2*a - 2*a + 0*a + 4*a + (3 + 0 - 1)*(4*a - 3*a - 2*a) + 3*a - 2*a - 4*a)*(-2 + 5 - 2). -6*a Expand -v**3 + 5*v**3 + 0*v**3 + (-2 + 2 - 2)*(2*v**3 - v**3 + 0*v**3) - 119*v**2 + 69*v**3 + 119*v**2. 71*v**3 Expand -50*t - 59*t + 50*t + t - 2*t - t - t + 2*t - 3*t + 0 - 2*t + 0 - 4*t + 0*t + 6*t + (-6 + 2 + 2)*(2*t + 1 - 1) - 2*t + t - t. -69*t Expand (-x + 0*x + 2*x)*(-3*x**4 - x**4 + 5*x**4) - 39*x**5 + 76*x**5 - 601*x**5. -563*x**5 Expand (-4*f**2 - 24 + 24)*(9*f - 3*f + 0*f + f + 2*f - 5*f + 0*f - f + 2*f + 0*f + 2*f + 0*f + (-5 + 2*f + 5)*(1 - 1 + 2)). -44*f**3 Expand 20*f + 146 - 146 + (3 - 2 - 2)*(0*f - f + 0*f) + 0*f - 3*f - 2*f - 2*f + 5*f + 0*f. 19*f Expand 2*g - 40*g**4 + 11*g**4 + 11*g**4 + 2*g**2 + 3*g**4 + 0*g**4 - g**4 + (2 - 4 + 1)*(0*g**4 + 0*g**4 - g**4). -15*g**4 + 2*g**2 + 2*g Expand (7 - 1 - 2 + (-3 + 2 + 0)*(-2 - 1 + 1))*(-5*a - 8 - 2 + 4*a). -6*a - 60 Expand -b**5 - 4*b**5 + 33*b**5 + (4 - 4 + b**4)*(5 - 5 + b) + 0*b**5 + 0*b**5 + 3*b**5. 32*b**5 Expand (-13*m - 14*m + 24*m)*(-5*m - 25*m + m - 8*m). 111*m**2 Expand n + 0*n - 3*n - 230 + 230 + 26*n + (-2 - 3 + 3)*(3 + n - 3) + 2 - 2 + n. 23*n Expand -2*n + 2*n - 2*n**4 + (2 - 2 + 2*n**3)*(-n + 2*n + n) + 22*n**4 + 12*n**4 - n**4 + 3*n**4 + 2*n**4 - 3*n**4 + 6*n**4 + 3*n**4 - n**4. 45*n**4 Expand (1 - 44 - 11)*(r**2 - r**2 + 3*r**4) - 3*r**4 - 2*r + 0*r + 4*r**4. -161*r**4 - 2*r Expand (3 + 21 + 3)*(6
{ "pile_set_name": "DM Mathematics" }
PM What is 672 minutes after 12:11 AM? 11:23 AM How many minutes are there between 9:41 PM and 9:18 AM? 697 How many minutes are there between 7:27 PM and 11:51 PM? 264 How many minutes are there between 12:10 AM and 9:19 AM? 549 What is 400 minutes before 1:00 PM? 6:20 AM What is 191 minutes after 5:44 AM? 8:55 AM How many minutes are there between 5:31 AM and 3:42 PM? 611 How many minutes are there between 1:12 PM and 2:29 PM? 77 What is 328 minutes before 2:23 PM? 8:55 AM What is 491 minutes after 9:35 AM? 5:46 PM How many minutes are there between 3:46 PM and 6:25 PM? 159 What is 160 minutes before 12:19 PM? 9:39 AM What is 661 minutes after 8:38 AM? 7:39 PM What is 231 minutes before 8:52 PM? 5:01 PM What is 416 minutes before 3:06 PM? 8:10 AM How many minutes are there between 11:36 AM and 8:10 PM? 514 What is 123 minutes after 4:23 AM? 6:26 AM How many minutes are there between 12:28 AM and 8:02 AM? 454 What is 170 minutes after 2:10 AM? 5:00 AM What is 371 minutes after 1:12 PM? 7:23 PM What is 707 minutes after 8:24 PM? 8:11 AM How many minutes are there between 2:43 PM and 10:31 PM? 468 What is 172 minutes after 10:14 AM? 1:06 PM How many minutes are there between 7:43 AM and 1:14 PM? 331 How many minutes are there between 4:13 PM and 9:55 PM? 342 How many minutes are there between 3:48 PM and 11:24 PM? 456 What is 549 minutes after 8:00 AM? 5:09 PM How many minutes are there between 11:05 PM and 10:44 AM? 699 How many minutes are there between 6:02 AM and 11:55 AM? 353 What is 344 minutes before 6:23 AM? 12:39 AM How many minutes are there between 11:51 AM and 3:34 PM? 223 How many minutes are there between 7:16 AM and 12:40 PM? 324 How many minutes are there between 5:47 PM and 6:37 PM? 50 How many minutes are there between 7:06 AM and 6:52 PM? 706 What is 636 minutes before 9:57 PM? 11:21 AM How many minutes are there between 7:31 PM and 7:50 PM? 19 How many minutes are there between 1:03 PM and 10:55 PM? 592 How many minutes are there between 11:46 AM and 2:05 PM? 139 What is 54 minutes after 5:18 PM? 6:12 PM How many minutes are there between 9:40 AM and 10:05 AM? 25 What is 33 minutes before 9:26 AM? 8:53 AM What is 599 minutes before 11:08 PM? 1:09 PM What is 660 minutes before 7:35 PM? 8:35 AM How many minutes are there between 4:45 PM and 3:45 AM? 660 What is 238 minutes before 10:58 AM? 7:00 AM What is 532 minutes after 5:08 PM? 2:00 AM How many minutes are there between 10:15 AM and 1:38 PM? 203 How many minutes are there between 11:32 PM and 2:49 AM? 197 How many minutes are there between 2:35 PM and 9:38 PM? 423 What is 98 minutes before 10:24 AM? 8:46 AM How many minutes are there between 1:46 PM and 6:16 PM? 270 What is 142 minutes after 1:44 AM? 4:06 AM What is 665 minutes after 1:04 AM? 12:09 PM What is 327 minutes after 3:03 AM? 8:30 AM How many minutes are there between 4:56 PM and 8:27 PM? 211 How many minutes are there between 10:37 AM and 11:31 AM? 54 How many minutes are there between 4:34 AM and 5:33 AM? 59 What is 325 minutes after 1:39 PM? 7:04 PM How many minutes are there between 8:19 AM and 8:13 PM? 714 How many minutes are there between 11:46 AM and 3:49 PM? 243 What is 144 minutes before 3:26 PM? 1:02 PM What is 596 minutes before 11:14 AM? 1:18 AM How many minutes are there between 3:52 PM and 2:17 AM? 625 What is 539 minutes before 11:39 PM? 2:40 PM What is 249 minutes after 2:11 AM? 6:20 AM What is 195 minutes before 8:20 PM? 5:05 PM How many minutes are there between 3:18 AM and 1:59 PM? 641 How many minutes are there between 12:02 PM and 10:01 PM? 599 What is 96 minutes before 4:28 AM? 2:52 AM What is 423 minutes before 4:35 PM? 9:32 AM What is 700 minutes after 6:23 AM? 6:03 PM What is 111 minutes before 10:27 AM? 8:36 AM How many minutes are there between 10:13 AM and 3:50 PM? 337 What is 217 minutes before 6:08 AM? 2:31 AM How many minutes are there between 1:29 AM and 3:36 AM? 127 How many minutes are there between 7:54 AM and 11:51 AM? 237 How many minutes are there between 1:49 PM and 7:17 PM? 328 What is 117 minutes after 1:48 PM? 3:45 PM How many minutes are there between 2:04 PM and 12:38 AM? 634 How many minutes are there between 5:40 PM and 8:02 PM? 142 How many minutes are there between 4:06 PM and 2:26 AM? 620 What is 207 minutes after 7:39 PM? 11:06 PM How many minutes are there between 5:12 AM and 6:03 AM? 51 How many minutes are there between 8:52 AM and 7:55 PM? 663 How many minutes are there between 4:54 AM and 8:54 AM? 240 What is 374 minutes before 4:06 PM? 9:52 AM What is 474 minutes after 2:44 PM? 10:38 PM What is 184 minutes before 3:43 AM? 12:39 AM How many minutes are there between 1:05 AM and 4:10 AM? 185 How many minutes are there between 5:37 PM and 8:28 PM? 171 How many minutes are there between 5:24 AM and 11:30 AM? 366 How many minutes are there between 7:18 PM and 5:35 AM? 617 What is 292 minutes before 4:20 PM? 11:28 AM What is 117 minutes before 12:42 AM? 10:45 PM How many minutes are there between 9:09 AM and 2:19 PM? 310 What is 204 minutes after 2:00 AM? 5:24 AM What is 690 minutes after 7:27 AM? 6:57 PM What is 634 minutes before 12:59 PM? 2:25 AM How many minutes are there between 3:48 PM and 6:03 PM? 135 What is 564 minutes before 11:39 PM? 2:15 PM What is 611 minutes after 3:57 PM? 2:08 AM What is 616 minutes before 2:03 PM? 3:47 AM What is 194 minutes after 10:22 AM? 1:36 PM What is 493 minutes after 7:37 PM? 3:50 AM How many minutes are there between 9:53 PM and 3:38 AM? 345 How many minutes are there between 8:01 AM and 2:43 PM? 402 How many minutes are there between 3:16 PM and 8:14 PM? 298 How many minutes are there between 12:58 PM and 3:53 PM? 175 How many minutes are there between 4:35 AM and 4:49 AM? 14 What is 414 minutes after 2:28 PM? 9:22 PM How many minutes are there between 10:25 PM and 11:09 PM? 44 How many minutes are there between 12:02 AM and 1:02 AM? 60 How many minutes are there between 9:53 PM and 6:20 AM? 507 What is 630 minutes before 4:36 PM? 6:06 AM What is 466 minutes after 12:31 AM? 8:17 AM How many minutes are there between 5:06 PM and 2:48 AM? 582 How many minutes
{ "pile_set_name": "DM Mathematics" }
the closest to -2? (a) t (b) -3 (c) w b Let i = 7 + -6.7. Let w = 0.4 - i. Let x = 0.3 - 0.4. What is the closest to w in -0.3, -1, x? x Let d = -112 - -115. What is the closest to 2 in d, -2, -18? d Suppose 47 + 43 = -5*n. Let l be (-1)/(n/22) + -1. Let k = -8 - -5. Which is the nearest to l? (a) -1 (b) k (c) -2 a Suppose i = -4*i. Let d = 31 + -30. Which is the nearest to i? (a) 1/2 (b) d (c) 1/5 c Suppose -2*x = 2*x - 4, 3*n + x + 8 = 0. Let z = 0.02 + 0.18. Let w = 0.15 + -0.05. Which is the nearest to w? (a) z (b) -2/13 (c) n a Let n = 84 - 83.7. What is the closest to 12 in n, -2, 1? 1 Let k = -171/118 + -3/59. Let q = -24.33 - -21.4. Let y = q + -0.07. What is the nearest to -2/7 in k, y, -0.5? -0.5 Suppose 15 = 5*c + 4*s, -4*c - s + 3*s = -12. Suppose c*y - 640 = -2*y. Let n = 643/5 - y. What is the closest to -0.1 in -4, -1, n? n Suppose 4 = 2*r - 12. Let m = r + -18. Let w = -14 - m. Which is the closest to -1? (a) -3 (b) w (c) 0.4 c Let z be 1/(-1) + (1 - -3). Let x(n) = n**2 + 9*n + 5. Let o be x(-4). Let g be (-11)/o + 21/35. Which is the nearest to -2/3? (a) -1/6 (b) z (c) g a Let w = -1.9 + 2. Let u(d) = d**3 - 5*d**2 + 4*d + 1. Let m be u(3). Let q = -8 - m. Which is the closest to w? (a) q (b) -4 (c) -0.5 c Let w = -0.09 - -0.19. Let v = -1 + -2. Let g = v - 2. What is the nearest to w in g, 0.5, -2? 0.5 Let g = -5.2 - -5. Let q = 0.1 + -0.06. Let l = -0.06 - q. Which is the nearest to l? (a) g (b) -2 (c) -2/11 c Let t = -3 - -2.9. Let u = 5 + 0. Let p be ((-14)/21 + 0)*(-6)/(-8). Which is the nearest to p? (a) t (b) 2/13 (c) u a Suppose -v = 2*p - 3 - 5, 2*p + 3*v - 8 = 0. Let c = 0.4 - 0.3. What is the nearest to c in -0.3, p, 2? -0.3 Let x = 68 + -66. What is the closest to 3 in x, -1/2, -3/2? x Let g = 17/33 + -1/3. Which is the closest to 1? (a) g (b) -0.3 (c) 1/5 c Let t(z) = z**3 - 7*z**2 + z + 1. Let p be t(7). Suppose -2*r - 2*n = -16, -3*r + 4*n = r + p. Let s be r/9 + 10/6. What is the closest to -3 in 2/5, -5, s? -5 Suppose -k = 3*k - w - 16, 2*k - 18 = 3*w. Let y = 0 - 2. Let u = y + 1.9. Which is the nearest to 1? (a) k (b) -4 (c) u c Let p = -37/7 + 5. What is the closest to 1 in 2/3, p, -3? 2/3 Let o = -12.97 - 0.03. Let q = 10 + o. Which is the nearest to 2? (a) -4 (b) 1 (c) q b Let g(y) = -y - 11. Let o be g(-10). What is the closest to o in -0.4, -0.14, -1/5? -0.4 Let t be (1 - 0) + (3 - 5). Let d = 1 + 1. Which is the closest to 0? (a) d (b) t (c) -5 b Let z = 1 + -1. Let j be z + (2 - (3 - 2)). What is the closest to 0 in j, -0.1, 2/5? -0.1 Let z = 4.6 - 3.6. Which is the closest to 0? (a) z (b) 5 (c) 0.05 c Suppose -3*s + 25 = -8*s. Let r be (-2)/(s/(10/(-16))). Let j = -0.1 - -0.1. What is the nearest to j in r, 1, -4? r Let i be (-4)/10 - (-8)/(-20). Let x be (-8)/3*21/14. Which is the nearest to 0? (a) 2/7 (b) i (c) x a Let q = 40 + -20. Suppose -5*o + d = 2*d + 29, 5*d + q = 0. Let g = 2 + -3. Which is the closest to g? (a) o (b) -2/5 (c) 2/7 b Let j = 41.8 + -36. Let n = j - 6. What is the nearest to -2/7 in 2/11, n, 3? n Suppose -1 = -0*m + 2*m + 3*h, -5*m + 3*h = -29. Let b be 34/(-60) + (-3)/(-18). What is the closest to -4 in m, 2/11, b? b Let j(c) = -c**2 + 12*c - 22. Let k be j(9). Let t be 2 - ((-9)/(-1) + -2). Let d = -3 + 3.1. What is the nearest to d in t, 0.5, k? 0.5 Let o be 1/(9/4)*21/(-42). Let m = -0.6 - -4.6. What is the closest to 0.2 in 3, o, m? o Let s = 17 - 20. Let w = 8 + -8. Which is the nearest to 1/4? (a) -4 (b) w (c) s b Let v be 0/(-4*2/4). Let h be -1 - -3 - (-32)/(-20). Which is the nearest to -1? (a) v (b) 3 (c) h a Let r = 0.4 - -2.6. Let h = 33.9 - 34. Which is the nearest to 0.1? (a) r (b) h (c) -2/11 b Let h = -49/2 - -24. Which is the closest to 1/4? (a) h (b) -5 (c) 2/9 c Let f = 0.088 + 0.012. Which is the closest to 1? (a) f (b) 1 (c) 1/4 b Let v be (-12)/(-8) - (-4965)/(-22). Let t = v - -224. Which is the nearest to -2/9? (a) 0.3 (b) t (c) -4 b Let r = 0.33 - 0.13. Which is the closest to r? (a) -4 (b) 3 (c) -5 b
{ "pile_set_name": "DM Mathematics" }
ded by 17? 11 Suppose 63 = 3*j - 0*j. Suppose -16 - 596 = -6*b. Calculate the remainder when b is divided by j. 18 Let k(u) = 148*u - 4. Let v be k(-2). Suppose 125 = 4*r - i, r - 2*i - 20 = -4*i. What is the remainder when r is divided by v/(-28) - 2/(-7)? 8 Let r(p) = -p**3 + 4*p**2 + p - 1. What is the remainder when r(2) is divided by (3/2)/(-14*(-11)/616)? 3 Let q(d) = -3 + 12*d - 8*d - 1. Let i be q(-4). Calculate the remainder when (i/25)/((-2)/35) is divided by 8. 6 Let y = 7 + 0. Suppose -2*i = -3*h + 9, 2*h - 5*i = -2*h + 5. Suppose -21 + 11 = -h*x. Calculate the remainder when y is divided by x. 1 Suppose 0 = -2*d - 4*m + 86, -5*d = 5*m - 324 + 94. Suppose 3*y - 2 = -5*j - 0, y - 2*j + 14 = 0. What is the remainder when y/21 - (-3885)/d is divided by 20? 19 Let d(s) = -2*s**2 + 77*s + 84. Calculate the remainder when d(37) is divided by 28. 27 Suppose s = -3*y + 12, -2*s + 0*s + 28 = 2*y. Let k(f) = 3*f**3 - 3*f**2 - 4*f + 2. Suppose z + 0 = 3. What is the remainder when k(z) is divided by s? 14 Let a be 18/99 - 53/(-11). Suppose -45 = -a*c + 25. Let f(x) = 3*x**3 + 2*x**2 - x. Calculate the remainder when c is divided by f(1). 2 Let a = 20 + -17. Suppose a*f = -6, 3*f - 8*f = 5*x. Suppose -y - x*o = 2*y - 26, -y + 3*o = -16. What is the remainder when 18 is divided by y? 8 Calculate the remainder when 198 is divided by 9503/187 - ((-24)/(-33))/(-4). 45 Calculate the remainder when (17/((-561)/6974))/(6/(-9)) is divided by 19. 13 Let l = 368 - 259. Calculate the remainder when l is divided by 28. 25 Let m(j) = -j**2 + j + 11. Suppose d + 16 = n + 3*n, 2*n - 26 = -4*d. Let k(c) = -c + 5. Let o be k(n). Calculate the remainder when 41 is divided by m(o). 8 Let d be 47/7 - 10/(-35). Let t = d - -43. Suppose -2*a = -4*a + 52. Calculate the remainder when t is divided by a. 24 Let x = -1222 - -1320. What is the remainder when 259 is divided by x? 63 Suppose 2*s = 31 - 11. Suppose -3*h = -h - s. Suppose 2*q - 90 = -3*n, -3*q = -3*n + h*n - 130. Calculate the remainder when q is divided by 9. 6 Let i(v) = 2*v**3 + v**2 - 21*v + 49. Calculate the remainder when i(4) is divided by 14. 11 Let p = -559 - -592. Calculate the remainder when 85 is divided by p. 19 Let t be -141*((-24)/(-9) + -3). Let g = 56 - t. What is the remainder when g is divided by 2? 1 Let s(y) = -y**3 + 4*y. Let i be s(0). Suppose i = 5*x - 122 - 188. Calculate the remainder when x is divided by 32. 30 Suppose 22*u - 3840 = -38*u. What is the remainder when 253 is divided by u? 61 Suppose 5*c = 5*d + 2*c - 21, -d - 4*c = 5. Calculate the remainder when 111 is divided by 2/(-4)*d*1862/(-147). 16 Let w = 59 + -55. Suppose w*a - 59 = 237. What is the remainder when a is divided by 19? 17 Suppose 2*n + 74 = 5*g - 48, -5*g = 4*n - 146. Let k = 166 - 65. What is the remainder when k is divided by g? 23 Suppose 2*g + 92 = -4*a + 8*a, 0 = a + 5*g - 1. What is the remainder when 603 is divided by a? 15 Suppose 0 = 7*a - 577 - 200. What is the remainder when a is divided by 23? 19 Let t(f) = f**3 + f**2 + 25. Let x = -20 + 69. What is the remainder when x is divided by t(0)? 24 Let t = 501 + -287. What is the remainder when t is divided by 57? 43 Suppose -45*p + 2557 = 434 - 1297. Calculate the remainder when p is divided by 25 + 1/(-2 - -3). 24 Let r(o) = 2*o**2 - 110*o - 73. Calculate the remainder when 131 is divided by r(56). 14 What is the remainder when (-2)/(-4) + (-210)/(-4) is divided by (1/(-1)*-27)/(-37*19/(-703))? 26 Let z be ((-1)/3)/(14/42). Calculate the remainder when 50 is divided by -1 - z - (-9 - -5). 2 Let h = -275 - -303. What is the remainder when h is divided by 6? 4 Suppose 3*i - 2*l + 37 = 2*l, 3*i = 3*l - 42. Let s = -3 - i. Let w = -243 + 272. Calculate the remainder when w is divided by s. 13 Let s(c) = c**3 - 7*c**2 - c + 10. Let k be s(7). Let x = -50 + 108. Calculate the remainder when x is divided by 2*(-3 + 12) - k. 13 Suppose -9*b + 993 + 3444 = 0. Calculate the remainder when b is divided by 33. 31 Let n(f) = 4*f**2 + 1. Let x be n(1). Suppose x*g - 3*m = 756, 3*m + 37 - 331 = -2*g. Calculate the remainder when g is divided by 38. 36 Let w(d) = 2*d**2 - 2. Suppose -5*a + 0*a - 10 = 0. Let g be w(a). Suppose 0*i = g*i - 108. Calculate the remainder when 70 is divided by i. 16 Suppose 0 = -3*z - 5*d + 124, 18*d - 23*d - 177 = -4*z. What is the remainder when 1160 is divided by z? 42 Suppose 6*b + 8 = 4*b. Calculate the remainder when -4*1/(-8) - 526/b is divided by 27. 24 Suppose 5*o - 13 = 2. Suppose -13 = 4*h + o, -2*f + 2*h + 50 = 0. Let y = f - -4. What is the remainder when 99 is divided by y? 24 Let u = 39 + -34. Suppose -z + o + 26 = 6, 0 = 2*z - u*o - 49. What is the remainder when z is divided by 9? 8 Let w(j) = 46*j + 2. Let f(n) = -7*n + 411. Calculate the remainder when w(2) is divided by f(56). 18 Let j = 1 + 162. What is the remainder when j is divided by 31? 8 Let y = 8 + -4. Suppose -q - y*q + 180 = 0. Calculate the remainder when (1 + 3/(-6))*1*140 is divided by q. 34 Let w(m) = 4*m - 8. Let s be w(3). Suppose -d - g = -2, s*d - 9 = g + 9. What is the remainder when d is divided by 1? 0 Let y = 10 - 5. Suppose -y*n = -3*n. Suppose n = 3*m - 1 - 32. Calculate the remainder when m is divided by 7. 4 Suppose 11*g - 765 = 6*
{ "pile_set_name": "DM Mathematics" }
9*i Let w(v) = v. Let p(s) be the third derivative of -7*s**4/24 + 11*s**2. Give p(w(i)). -7*i Let n(i) = -27 + 27 - 3*i**2. Let c(g) = 0*g + g + 0*g. Give n(c(u)). -3*u**2 Let d(w) = w + 5. Let u(o) = -2. Let m(h) = 2*d(h) + 5*u(h). Let c(z) = z + 3*z - 3*z. Calculate m(c(f)). 2*f Let t(a) = 7*a. Let z(p) = 5*p**2 + 8*p + 8. Let q(c) = -3*c**2 - 5*c - 5. Let f(b) = -8*q(b) - 5*z(b). Determine t(f(w)). -7*w**2 Let i(u) = -2*u**2 - 22. Let m(t) = 2*t**2. What is i(m(q))? -8*q**4 - 22 Let a(t) = -305*t. Let k(r) = 29*r. Determine a(k(i)). -8845*i Let j(i) = 22*i. Let g(k) = -31*k**2 + 8*k**2 + 12*k**2 + 6*k**2. What is g(j(x))? -2420*x**2 Let d(f) = f - 1. Let n(k) = 13*k - 3. Let s(x) = 6*d(x) - 2*n(x). Let h(i) = i**2. Determine h(s(a)). 400*a**2 Let y(x) be the third derivative of -x**4/12 + x**2. Let n = 9 + -5. Let q(g) = 7*g**2 + 4 - 8*g**2 - n. What is q(y(f))? -4*f**2 Let a(n) be the first derivative of -8*n**3 + 18. Let t(v) = -3*v**2. Give a(t(p)). -216*p**4 Let x(n) = -2*n**2. Let f(z) = 8*z**2 + 5*z. Let d(u) = -9*u**2 - 4*u. Let o(r) = 5*d(r) + 4*f(r). Give x(o(a)). -338*a**4 Let d(q) = q - 1. Let c(r) = -8*r + 5. Let k(o) = c(o) + 5*d(o). Let h(u) = u + 10. Let b(n) = n + 6. Let m(s) = -5*b(s) + 3*h(s). What is k(m(j))? 6*j Let y(a) = -3*a**2. Let j(b) = 6*b + 5*b + 0*b. What is y(j(w))? -363*w**2 Let c(i) = -i**2. Let r(o) be the first derivative of 4*o**3/3 - 18. Give c(r(y)). -16*y**4 Let d(i) = -i**2. Let j(m) = 11333*m**2. Give d(j(n)). -128436889*n**4 Let c(g) = -5*g**2. Let a(y) be the first derivative of -2*y**3 + 6. What is a(c(z))? -150*z**4 Let q(t) = 17*t**2. Let d(y) = -12*y. Give d(q(v)). -204*v**2 Suppose 7*d - 4 = 3*d + 4*r, 0 = 4*d + r - 19. Let q(j) = 3*j - 3*j - d*j + 3*j. Let k(l) = 2*l. Determine k(q(o)). -2*o Let c(n) = -3*n**2 + n**2 - 4*n + 4*n. Let r(p) = 6*p**2. Determine c(r(x)). -72*x**4 Let l(i) = i**2. Let o(x) = 17*x**2 + 3*x**2 - 350*x + 350*x. Calculate o(l(q)). 20*q**4 Let w(p) = p**2 + 0*p**2 + 0*p**2. Let z(r) be the second derivative of r**6/120 + r**3/3 - r. Let t(l) be the second derivative of z(l). Give w(t(c)). 9*c**4 Let y(c) = 3*c. Let g(m) = -7*m**2 - 158*m + 1. Calculate y(g(a)). -21*a**2 - 474*a + 3 Let f(t) = 4*t**2 + 34*t. Let y(i) = -25*i**2. Determine f(y(l)). 2500*l**4 - 850*l**2 Let y(n) be the third derivative of n**4/6 - 45*n**2 + 1. Let z(c) = 12*c**2. Give z(y(q)). 192*q**2 Let i(p) = 2*p. Let a(k) = -77*k + 4. What is i(a(m))? -154*m + 8 Suppose -x + 4 = 2*i, 4*i + 3 = -3*x + 13. Let b(q) be the first derivative of i + 1/3*q**3 + 0*q**2 + 0*q. Let c(y) = y. Give c(b(k)). k**2 Let p(v) = v + 22. Let k(c) = 5*c. What is p(k(s))? 5*s + 22 Let w(v) = -157*v. Let i(u) = 2*u**2. Calculate i(w(h)). 49298*h**2 Let k(v) = -5*v. Let s = 3 + -9. Let j(p) = -p**2 - 7*p - 4. Let n be j(s). Let h(b) = b - b + b**n. Determine h(k(c)). 25*c**2 Let w(o) = 960*o. Let v(g) = -8*g. What is w(v(l))? -7680*l Let z(c) = 33*c**2. Let p(x) = x**2. What is p(z(l))? 1089*l**4 Let i(y) = -408*y. Let g(d) = 2*d**2. Determine i(g(s)). -816*s**2 Let u(m) = -3*m**2 + 9*m. Let k(w) = 2*w. Give u(k(g)). -12*g**2 + 18*g Let x(d) = -d. Let j be ((-4)/6)/((-4)/12). Let o(q) = 6*q**2 + q**2 - j*q**2 - 2*q**2. What is x(o(f))? -3*f**2 Let z = -6 + 9. Let f(w) = z - w - 3. Let h(v) = v**2 + 2*v**2 - 7*v**2. Give f(h(d)). 4*d**2 Let c(p) = -109*p. Let i(y) = -3*y**2. Calculate c(i(d)). 327*d**2 Let w(s) = -4*s**2. Let o(p) = 158*p + 1. What is o(w(f))? -632*f**2 + 1 Let b(z) = 124*z + 1. Let y(i) = 38*i**2. Give y(b(w)). 584288*w**2 + 9424*w + 38 Let u(h) be the second derivative of 0 - h - 1/3*h**3 + 0*h**2. Let w(x
{ "pile_set_name": "DM Mathematics" }
/12)/(11/(-44)). -1 (-19)/((-684)/48)*6/(-4) -2 Evaluate 13*10/390*7. 7/3 What is the value of 67/402*(-4)/6? -1/9 What is the value of ((-2)/6)/(2/3)*-2? 1 (-81)/18*3/(-36) 3/8 What is 4*(-3)/6*5/(-5)? 2 Evaluate (-3)/(-28)*-8*(-6)/(-12). -3/7 ((14/4)/(-1))/(100/200) -7 What is the value of 1/10*-7*(-12)/(-21)? -2/5 Calculate 11/(-33)*(-4)/6. 2/9 Evaluate ((-49)/21)/7*-3. 1 Evaluate 1/(6*(-3)/(-36)). 2 What is the value of 76/798*7*-1? -2/3 (18/(-12))/(6/(-24)) 6 Evaluate (((-6)/(-18))/(-1))/(8/(-32)). 4/3 Calculate ((-65)/(-78))/(30/(-6)). -1/6 Calculate (-166)/(-581)*14/4. 1 (49/196)/(18/(-16)) -2/9 ((-14)/(-245)*7)/(4/30) 3 Calculate 3/36*8*2/(-3). -4/9 What is the value of ((-14)/245)/(4/20)? -2/7 Calculate ((-176)/(-7084))/(2/7). 2/23 Evaluate (16/48)/((-1)/9). -3 Calculate (8/16)/(11/(-22)). -1 Calculate (((-50)/(-5))/5)/(2/(-7)). -7 What is ((100/(-6))/(-10))/(1/3)? 5 16/156*18/(-12) -2/13 What is the value of 3*3*1*3/(-9)? -3 What is 2/(-34)*11/(-77)*14? 2/17 What is the value of (-1)/((18/3)/(-12))? 2 Evaluate -5*((-34)/20)/17. 1/2 Calculate (-12)/5*115/69. -4 (-414)/(-1035)*(25/2)/1 5 What is the value of (9*3/42)/((-42)/(-49))? 3/4 Calculate (-26)/(-1105)*(-1)/((-2)/10). 2/17 Evaluate (12/84)/((-12)/42). -1/2 What is ((-15)/(-12))/((-9)/(-12))? 5/3 Calculate 2*4/(-24)*-1. 1/3 (6/(-9))/((-252)/54) 1/7 Evaluate (-12)/(-6)*((-1)/1)/1. -2 Calculate 9/(-15)*25*(-8)/(-40). -3 Calculate 1*4*11/(-132)*15. -5 Calculate (3/(-27)*-3)/(1/9). 3 Calculate ((-35)/(-21))/(-5)*3. -1 1/(10/70*-1) -7 (6/(-20))/(2/(-4)*3) 1/5 What is ((-6)/(-45))/(5/30)? 4/5 What is the value of (-1*18/3)/(54/54)? -6 What is the value of (1/(-2))/((12/6)/20)? -5 What is the value of (-6)/15*(-10)/(-14)? -2/7 Calculate 8/18*-3*(-8)/32. 1/3 Evaluate (-10)/1*(-1)/2. 5 What is the value of (0/(-1))/(2/(8/(-4)))? 0 Evaluate 15/10*(-12)/63. -2/7 3/((-90)/20)*(-21)/(-4) -7/2 ((-8)/22)/(-4)*(-30)/15 -2/11 What is 9/((-108)/(-6))*0/(-2)? 0 Evaluate (-1)/(-2)*2*18/(-63). -2/7 What is 10/25*1*15/(-27)? -2/9 1*2*(-24)/16 -3 Calculate (7/21)/((-6)/(-18)). 1 ((-8)/100)/((-14)/70) 2/5 What is the value of (8/112)/(4/(-14))*-28? 7 What is ((-2)/4)/(1/10)? -5 Evaluate 5/2*(-108)/(-135). 2 Calculate ((-3)/(-14))/((-228)/(-266)). 1/4 Calculate ((-21)/(-63))/(-1*1). -1/3 Calculate ((-12)/7)/((-76)/266). 6 ((-4)/6)/(10/(-80)*4) 4/3 What is ((-1)/(-3))/(3/(-126)*-2)? 7 ((-1)/(-21)*-3)/(-1) 1/7 What is the value of (-60)/24*-1*(-3)/15? -1/2 What is 2*2/(8/10)*-1? -5 Evaluate 2*23/(1242/12). 4/9 (-5*1/(-54))/(200/120) 1/18 Calculate 15/(-6)*63/1260. -1/8 Evaluate ((-8)/(-42))/((-14)/21). -2/7 Evaluate (-1*3)/(87/(-29)). 1 Evaluate (2/2)/((-28)/(-28)). 1 Evaluate 4/(-8)*6*3/(-63). 1/7 What is (1*3)/(54/90)? 5 Evaluate 1*(-10)/(-4)*(-2)/(-1). 5 Evaluate (64/(-12))/4*(-9)/(-2). -6 Evaluate ((-15)/(-18))/((-4)/(-24)). 5 Calculate (-54)/(-27)*(-3)/(-36). 1/6 ((126/(-12))/(-21))/((-2)/(-4)) 1 Evaluate (-9)/3*11/44. -3/4 What is the value of -1*2/(-2)*0/12? 0 (-2)/(-2)*(-2)/(-2) 1 Evaluate (28/735*5)/((-6)/7). -2/9 What is (2/12*-2)/((-2)/(-18))? -3 What is the value of ((-5)/(100/(-16)))/((-78)/(-15))? 2/13 Evaluate 2/4*-4*(-2)/(-1). -4 Calculate (2*4/6)/((-54)/9). -2/9 What is the value of (21/133)/((-39)/26)? -2/19 What is the value of (12/(-96))/((-2)/16)? 1 Evaluate (1/((-6)/16))/((-90)/(-135)). -4 What is the value of ((-8)/(-360))/(2/12)? 2/15 Calculate ((-84)/(-24))/((-2)/(-4)). 7 Evaluate (38/114)/(2/(-42)). -7 Calculate ((-4)/12)/(7/(-7)). 1/3 Calculate ((2/3)/1)/((-86)/(-1161)). 9 What is the value of (-110)/(-165)*3/10? 1/5 What is the value of (-2*2/8)/(30/(-24))? 2/5 What is the value of (5/(-3)*-1)/(260/312)? 2 (-135)/(-450)*(-5)/6 -1/4 Evaluate 2/((-16)/(-30)*(-30)/40). -5 What is (2/(-6))/(2*6/(-108))? 3 What is ((-24)/(-6))/(-20)*3? -3/5 ((-1)/(-34))/((-139)/556) -2/17 Evaluate 8/((-16)/3)*(-1)/6. 1/4 Evaluate ((-2)/(-6))/(15/(-1350)*5). -6 What is the value of ((-6*(-7)/378)/1)/1? 1/9 What is the value of ((-2)/8*-2)/(4/(-32))? -4 Evaluate (2070/(-483))/((-6)/14). 10 What is 1/(-1)*(-3)/12*0? 0 -4*(-7)/756*6 2/9 What is 4/3*(-207)/46? -6 Calculate (((-18)/15)/((-24)/(-30)))/6. -1/4 (-8)/(-6)*(-45)/(-210) 2/7 Evaluate 4/(-3)*(-2)/((-36)/3). -2/9 What is the value of (6/8)/(-9*(-3)/(-24))? -2/3 Calculate (-55)/(-22)*54/45. 3 What is the value of (28/(-35))/(26*1/(-5))? 2/13 Evaluate ((-72)/(-36))/(-5*(-2)/(-4)). -4/5 Evaluate ((-8)/(-10))/((-9)/45). -4 Calculate 10/105*(-3)/((-27
{ "pile_set_name": "DM Mathematics" }
*p**2 + 965 What is the t'th term of -402, -403, -404, -405, -406? -t - 401 What is the t'th term of -67, -313, -735, -1333, -2107, -3057? -88*t**2 + 18*t + 3 What is the k'th term of -22, -31, -74, -169, -334? -3*k**3 + k**2 + 9*k - 29 What is the n'th term of -77, -150, -223, -296? -73*n - 4 What is the a'th term of 7, 18, 41, 82, 147? a**3 + 4*a + 2 What is the c'th term of -104, -106, -118, -146, -196, -274, -386, -538? -c**3 + c**2 + 2*c - 106 What is the m'th term of -82, -79, -76, -73, -70, -67? 3*m - 85 What is the p'th term of -1168, -1211, -1264, -1333, -1424, -1543, -1696? -p**3 + p**2 - 39*p - 1129 What is the p'th term of 77, 171, 255, 323, 369? -p**3 + p**2 + 98*p - 21 What is the s'th term of 39, 59, 79, 99? 20*s + 19 What is the n'th term of -821, -820, -819? n - 822 What is the p'th term of -1477, -1478, -1481, -1486, -1493? -p**2 + 2*p - 1478 What is the w'th term of 191, 295, 399? 104*w + 87 What is the w'th term of 386, 384, 382, 380? -2*w + 388 What is the u'th term of 3772, 7541, 11308, 15073, 18836, 22597, 26356? -u**2 + 3772*u + 1 What is the m'th term of 15, 0, -29, -78, -153, -260, -405, -594? -m**3 - m**2 - 5*m + 22 What is the j'th term of 1, 70, 175, 310, 469, 646? -j**3 + 24*j**2 + 4*j - 26 What is the p'th term of -111, -64, -17, 30, 77, 124? 47*p - 158 What is the i'th term of 39467, 39466, 39465? -i + 39468 What is the t'th term of -6742, -6731, -6712, -6685? 4*t**2 - t - 6745 What is the l'th term of -93, -185, -279, -375, -473? -l**2 - 89*l - 3 What is the b'th term of 43, 181, 431, 799, 1291, 1913, 2671, 3571? b**3 + 50*b**2 - 19*b + 11 What is the l'th term of 31, 0, -29, -56? l**2 - 34*l + 64 What is the d'th term of 379, 374, 367, 358? -d**2 - 2*d + 382 What is the c'th term of -259, -276, -311, -370, -459, -584? -c**3 - 3*c**2 - c - 254 What is the s'th term of 37, 75, 113, 151, 189, 227? 38*s - 1 What is the i'th term of 2163, 2161, 2157, 2151, 2143, 2133? -i**2 + i + 2163 What is the x'th term of 392, 729, 1066, 1403? 337*x + 55 What is the z'th term of -965, -959, -941, -905, -845? z**3 - z - 965 What is the k'th term of -235, -234, -231, -226, -219? k**2 - 2*k - 234 What is the s'th term of -154, -156, -158, -160? -2*s - 152 What is the m'th term of 216, 218, 226, 240, 260? 3*m**2 - 7*m + 220 What is the l'th term of 51, 71, 91, 111, 131? 20*l + 31 What is the y'th term of 503, 471, 439, 407, 375, 343? -32*y + 535 What is the t'th term of 1356, 2711, 4068, 5427, 6788, 8151, 9516? t**2 + 1352*t + 3 What is the y'th term of -472, -904, -1322, -1720, -2092, -2432, -2734, -2992? y**3 + y**2 - 442*y - 32 What is the d'th term of -41, -46, -55, -68, -85? -2*d**2 + d - 40 What is the l'th term of 193, 386, 591, 814, 1061, 1338, 1651, 2006? l**3 + 186*l + 6 What is the f'th term of -21, -47, -111, -231, -425, -711, -1107, -1631? -3*f**3 - f**2 - 2*f - 15 What is the s'th term of -9, -24, -53, -102, -177, -284, -429, -618? -s**3 - s**2 - 5*s - 2 What is the d'th term of 77, 77, 85, 107, 149? d**3 - 2*d**2 - d + 79 What is the v'th term of -50, -113, -194, -299, -434, -605, -818, -1079? -v**3 - 3*v**2 - 47*v + 1 What is the b'th term of 90, 95, 102, 111, 122, 135? b**2 + 2*b + 87 What is the f'th term of 153, 307, 461? 154*f - 1 What is the t'th term of 8363, 16725, 25087, 33449, 41811? 8362*t + 1 What is the c'th term of 4, -4, -18, -38? -3*c**2 + c + 6 What is the x'th term of -110, -569, -1334, -2405, -3782, -5465, -7454? -153*x**2 + 43 What is the g'th term of 34, 64, 96, 130, 166? g**2 + 27*g + 6 What is the o'th term of -56, -105, -152, -197? o**2 - 52*o - 5 What is the m'th term of 7, 1, -5, -11? -6*m + 13 What is the t'th term of 141, 279, 419, 561, 705? t**2 + 135*t + 5 What is the q'th term of 108, 99, 78, 39, -24, -117? -q**3 - 2*q + 111 What is the a'th term of -672, -1347, -2024, -2703? -a**2 - 672*a + 1 What is the f'th term of 8, 28, 60, 104, 160? 6*f**2 + 2*f What is the u'th term of 66, 122, 170, 210, 242, 266, 282? -4*u**2 + 68*u + 2 What is the n'th term of -1, -57, -209, -505, -993, -1721, -2737, -4089? -8*n**3 + 7 What is the t'th term of 193, 792, 1793, 3196? 201*t**2 - 4*t - 4 What is the o'th term of -228, -232, -236, -240? -4*o - 224 What is the z'th term of -7, -14, -31, -64, -119, -202? -z
{ "pile_set_name": "DM Mathematics" }
y = -794 + 187. Let m = y - -609. Suppose -b + 3 - 7 = -2*n, -b = -n. Put -4, n, m, 1/4 in descending order. n, m, 1/4, -4 Let v(s) = 3*s**3 - 134*s**2 - 154*s - 68. Let x be v(46). Put -5, 1, x in ascending order. -5, 1, x Suppose -q + 5 = 0, -5*j - q + 46 = -59. Let d be ((-10)/j)/(9/(-12)*-6). Let g = -1/4 - -3/4. Sort g, d, 0, 0.1 in descending order. g, 0.1, 0, d Let r(f) = f**2 - 13*f + 3. Let j be r(13). Suppose -5*u = -j*u - 4. Let g be (-406)/(-105) - u/(-15). Sort -8, g, -4 in ascending order. -8, -4, g Let a be (-51)/(-7) - (-2 - -9). Let n = 6.89 - -2.11. Put a, 3, n in decreasing order. n, 3, a Let h = 467.8 - 468. Put -5, h, 0.2, -7, -0.4 in descending order. 0.2, h, -0.4, -5, -7 Suppose -3*g = -3*k - 3, 4*g + 1 = 3*k + 5. Let s be 323/19*-1*(k + 1). Let y(i) = 2*i**2 + 33*i - 15. Let r be y(s). Sort r, -3, 3, 27 in descending order. 27, 3, r, -3 Let q = -13 + 13. Let y = -54 + 117. Let j = y + -316/5. Sort 1/3, q, j, -3. -3, j, q, 1/3 Let p = 4657.1 + -4657. Let b be ((-2)/4)/((-106)/8). Sort 5, -5, b, p in descending order. 5, p, b, -5 Let k be (22 - 1443/65) + (-39)/5. Put -5, k, 4 in ascending order. k, -5, 4 Let w = 31 - 28. Suppose h = 12*h - 22. Suppose 2*k + 4*p = 0, 0 = -h*p - 0*p + 4. Sort w, -8, k in descending order. w, k, -8 Let t be 11 - (2/(-3))/(16/(-24)). Let x = -17 - -18. Suppose 0 + 3 = -a, 35 = -5*g - 5*a. Put t, g, x in descending order. t, x, g Let h(f) = 4*f + 2 - 11 - 81. Let v be h(23). Sort v, 4, 17 in decreasing order. 17, 4, v Suppose -3 - 3 = 2*y. Let z be 96/16*(1012/(-330))/((-4)/5). Put y, z, 4, 3 in decreasing order. z, 4, 3, y Let u = -16637 + 18592. Put 2/19, 2/5, u, 3 in decreasing order. u, 3, 2/5, 2/19 Let o = -13147.2 + 13147. Put -13, o, -57, 1, -2/11 in descending order. 1, -2/11, o, -13, -57 Let y = 870 - 1330. Let n = -462 - y. Sort -14, 0, 4, n. -14, n, 0, 4 Let x = 803 + 123. Sort x, -5, 4. -5, 4, x Let n = -6497 + 6500. Put -1/2, n, -9, 2/17, 0.1 in increasing order. -9, -1/2, 0.1, 2/17, n Let q(y) = -2*y**3 - 2*y**2 + 7*y. Let t be q(-3). Suppose -t = 9*w + 3. Suppose -33*o - 1 = -34*o. Sort o, -5, w in increasing order. -5, w, o Suppose 19*a = 22*a - n - 16, 5*n = 5*a - 20. Put -0.3, a, -1/6, -0.8 in decreasing order. a, -1/6, -0.3, -0.8 Suppose -57 - 26 + 21 = 31*p. Put 241, p, 1 in descending order. 241, 1, p Let k = 18039 - 18038. Sort -3, -1, k, -3/7, 2/165. -3, -1, -3/7, 2/165, k Let m = -1 - -0.5. Let h(y) = -7*y**2 + 2*y - 4. Let t be h(-5). Let a = 557/3 + t. Put m, 0, a in decreasing order. 0, m, a Let g = -0.65 + 0.17. Let s = 0.98 + g. Put -0.3, s, -4/3 in descending order. s, -0.3, -4/3 Let h = 3.807 + -0.807. Let p = -3 - -7. Put p, -5.1, 0.4, h in ascending order. -5.1, 0.4, h, p Suppose 0 = 286*d - 290*d - 8, 3*s + 3*d = -42. Put -3, s, 5, -6, 7 in increasing order. s, -6, -3, 5, 7 Let h(z) = -z - 16. Let m = -56 + 128. Suppose 39*p - 35*p = -m. Let k be h(p). Sort -4, k, 0. -4, 0, k Let g be 56/6 + (67 - 70) + (1 - 8). Sort 58, -8/5, g in increasing order. -8/5, g, 58 Let v = -158 + 158.4. Sort -31, 5, v, 1, 1/3 in decreasing order. 5, 1, v, 1/3, -31 Let h be 1840/32*(-12)/(-5). Suppose 3*d + h = 111. Let y = -106/3 - -35. Sort 2/9, -2, y, d in decreasing order. 2/9, y, -2, d Let f = 29848 + -29843. Let k = 31 + -88. Put -4, f, k in decreasing order. f, -4, k Suppose -3*j = -4*j + 5*a + 9, a = 3*j + 1. Let l be (1/(-2))/(j*(-1)/(-2)). Let o be (2/(-7))/(7/(-49)). Put l, 9, o in decreasing order. 9, o, l Let w = -2.03272 + 0.03272. Sort -16, w, -3, -1/21 in descending order. -1/21, w, -3, -16 Let p = 4.98 - 5. Let n = 332 - 329. Suppose -3*t = n - 0. Put t, p, 5, 0.3 in increasing order. t, p, 0.3, 5 Let u = -37179 - -37179. Suppose 5*q = 2*s - 16, -5*s - 4*q + 6 = -34. Suppose f + 3*y + 3 = -s, 2*f = 2*y + 18. Put 3, f, -1, u in descending order. f, 3, u, -1 Let g be (((-627)/(-6))/19)/(2/4). Let v be g/(55/(-15)) + 6. Put -26, -3, v in descending order. v, -3, -26 Let r(f) = f**2 - 9*f + 8. Let c be r(8). Suppose 0 = 4*q - 4*l + 12, -13*q - 4*l + 21 = -8*q. Put -1, c, q in descending order. q, c, -1 Let v = 9 - 1. Let m = v + -6. Let l(f) = 10*f - 133. Let w be l(13). Sort m, -5, w, 4. -5, w, m, 4 Let n be -2 +
{ "pile_set_name": "DM Mathematics" }
nd w to the nearest integer. -9 Let h = -1437276137.00000009 + 1437276120. Let b = 17 + h. Round b to 7 dps. -0.0000001 Suppose -2*h - 18 = -5*v - 0*h, 22 = 5*v + 2*h. Suppose 4*l = 4*o + 2*l + 21599994, -4*o + v*l - 21599988 = 0. Round o to the nearest one million. -5000000 Let q = -22 - -22.09. Let o = q + -0.09056. Round o to 4 dps. -0.0006 Let g = -1169.27301 + 1167.27301012. Let j = g + 2. Round j to seven dps. 0.0000001 Let f = -23.12 - -27.108. Let y = -4 + f. What is y rounded to 2 dps? -0.01 Let x(s) = 12*s**3 + 1. Let l be x(-1). Let c = l + 8. Let d be (-2600)/6*(c + 183). What is d rounded to the nearest 10000? -80000 Let g = -1500 + 1501.8976. Let u = 1.9 - g. What is u rounded to 3 dps? 0.002 Let h(f) = -f**3 + f**2 + f + 4100000. Let u be h(0). Round u to the nearest 1000000. 4000000 Suppose 3*t = -4*y + 10499992, 4*y - 13999992 = 2*t - 6*t. What is t rounded to the nearest 1000000? 4000000 Let j(b) = -2462*b**2. Let g(a) = 7575574*a**2. Let o(k) = -6*g(k) - 18465*j(k). Let p be o(1). Let q = p - 986. What is q rounded to the nearest one thousand? 6000 Let m = 0.6 - 1. Round m to one decimal place. -0.4 Let v(u) = 70599989*u - 11. Let t be v(-1). Round t to the nearest one million. -71000000 Let w = 53.92 - 57. Let c = w + 4.3. What is c rounded to one decimal place? 1.2 Let i(a) = 31505*a**2 + 3*a - 1. Let d be i(2). Suppose -309236 = 4*q + 4*c + 194744, -q + 5*c - d = 0. What is q rounded to the nearest 10000? -130000 Let y = 722 - 3022. Round y to the nearest one thousand. -2000 Let b = 469369 + -243195. Suppose -49841 = -3*t - 3*o + b, 5*o = -2*t + 184025. What is t rounded to the nearest ten thousand? 90000 Let f be (-5 + 7)/(2/1). Let t be (19 + 0)/(f/(-1)). Let m = t - -959. Round m to the nearest one hundred. 900 Let m(i) = -5 - 7*i + 8*i + 12*i**3 + 2*i**2 + 2*i**2. Let r be m(-5). What is r rounded to the nearest 100? -1400 Let j = 37 + -35.16. What is j rounded to one dp? 1.8 Let t(a) be the first derivative of -57*a**2 + 1. Let l be t(-1). Let h be (-4)/(-18) - l/27. Round h to the nearest ten. 0 Let n = 13.65 - 8.4. Round n to zero dps. 5 Let c = -341911 + 341613.843. Let v = -297 - c. What is v rounded to 2 dps? 0.16 Suppose 0 = 2*t + j + 512513 + 109486, 4*j + 621996 = -2*t. What is t rounded to the nearest one hundred thousand? -300000 Let s = -0.1 + 0.3. Let h = 0.5 - s. Let q = h - 0.29875. What is q rounded to 4 dps? 0.0013 Let t = 1 - 1.000002. Let x = 0 + t. Round x to 6 decimal places. -0.000002 Let c = 0.82 + -0.205. What is c rounded to 1 dp? 0.6 Let i = -6 + 12. Let a = i - 5.65. Let p = a - 5.15. Round p to 0 dps. -5 Suppose -3*j - j = -4. Let c be -5899998 + j*(-2 - 0). Round c to the nearest one million. -6000000 Let w = -30 - -30.00002. What is w rounded to five decimal places? 0.00002 Let z be 10/(-1)*((-196)/(-20) - 3). What is z rounded to the nearest ten? -70 Let w = -19.00116 + 19. Round w to four dps. -0.0012 Suppose -d = -4*d + 5*w + 6, 43 = 4*d + 5*w. Let i(o) = -677*o**2 - 7*o - 3. Let x be i(d). Let u = x - -14225. What is u rounded to the nearest ten thousand? -20000 Let b(m) = 549*m**3 - 2*m**2 + 1. Let k be b(-1). What is k rounded to the nearest one hundred? -600 Suppose -400376 = -5*h + 981284. Suppose 3*i = 4*g + h - 6340, 3*i = 2*g + 269996. Round i to the nearest 100000. 100000 Let i = -9.8 + 13. Let r = 2 - i. Let m = r - -1.1993. What is m rounded to 4 dps? -0.0007 Let f = 51828.5 + -51821.500022. Let t = -1.2 - 5.8. Let j = t + f. Round j to 5 decimal places. -0.00002 Let g = -219.7 - -192. Round g to the nearest integer. -28 Let w = -13010313.299912 - -13009321.3. Let c = -992.2 - w. Let t = c - -0.2. What is t rounded to 5 dps? -0.00009 Let a = -38.26 - -52.7. Let z = a - 15.7. What is z rounded to 1 dp? -1.3 Suppose 22800016 = -4*p + 4*k, -3*p - 8*k - 17099984 = -4*k. What is p rounded to the nearest 1000000? -6000000 Let t = 236 + -236.107. Round t to two dps. -0.11 Suppose -g = -5*g - 104. Round g to the nearest 10. -30 Let t = 363 + -511. What is t rounded to the nearest 100? -100 Let c = -7 - -5.8. Let q = 240714 + -240712.800028. Let r = q + c. Round r to five decimal places. -0.00003 Suppose -b = 4*h + 210, -2*h = 5*b - 0*h + 1140. What is b rounded to the nearest 100? -200 Suppose -3*a + r = -3*r + 25188, 0 = 4*a + 2*r + 33606. What is a rounded to the nearest one thousand? -8000 Let h = -0.158 - -0.085. Let s = h + -8.027. What is s rounded to the nearest integer? -8 Suppose 4*o + 3*k + 0*k + 3 = 0, 4*k + 26 = 2*o. Suppose 0 = -3*f + 15, 0*a + o*f - 535 = -2*a. Round a to the nearest 100. 300 Suppose 4*y + 0 - 20 = 0. Suppose 0 = y*n - 4*n + 7900000. What is n rounded to the nearest one million? -8000000 Let z = -1.67 + 1.6700496. Round z to 6 decimal places. 0.00005 Let n = -14.4 - 0.6. Let a = -22.80133511 + 7.8013354. Let k = a - n. What is k rounded to 7 dps? 0.0000003 Let x = 4043500
{ "pile_set_name": "DM Mathematics" }
*3 - 333*y. -588*y Find the second derivative of 584*p**4 - 2*p**3 + 3*p + 10 wrt p. 7008*p**2 - 12*p What is the third derivative of -13*t**6 + 250*t**3 + 3*t**2 - 146 wrt t? -1560*t**3 + 1500 What is the derivative of 336*x*y - 1279*y wrt x? 336*y Differentiate -67*s - 58 wrt s. -67 Find the third derivative of 1828*y**6 + 5*y**2 + 19*y wrt y. 219360*y**3 What is the first derivative of -13*j**3*l**2 - j*l**3 + j - 447*l**3 wrt j? -39*j**2*l**2 - l**3 + 1 Find the second derivative of -3*a**3*k**3 + 11*a**3 + 2*a*k**3 - 38*k**3 - k + 11 wrt k. -18*a**3*k + 12*a*k - 228*k What is the derivative of -12604*r**2 - 11770 wrt r? -25208*r Find the first derivative of a**2 + 221*a + 550. 2*a + 221 Differentiate 379*g**2*k**2 + 5*k**2 - 4 wrt g. 758*g*k**2 Find the third derivative of 203*l**3 - 1207*l**2 wrt l. 1218 Differentiate -6*c**3*g + 90*c**2*g*n + 2*c**2*n + 10*g*n - 29*n wrt c. -18*c**2*g + 180*c*g*n + 4*c*n What is the second derivative of 5529*j**4 + 7934*j? 66348*j**2 Find the second derivative of 20*a*i**5 + a*i**2 + a*i + 2*i**5 + 3*i + 3 wrt i. 400*a*i**3 + 2*a + 40*i**3 What is the third derivative of 215*f**6*k + 17*f**6 - f**2*k - f**2 - 6*f*k - 23 wrt f? 25800*f**3*k + 2040*f**3 What is the first derivative of 4*i**4 - 537*i**2 + 824? 16*i**3 - 1074*i Find the second derivative of -164*b**2 - 10*b - 13. -328 Find the third derivative of 51*x**6 - 18*x**2. 6120*x**3 Find the third derivative of 389*c**3*h*v**3 - c**3*h + 4*c**2*v**3 + 38*c*h*v**3 - c*h*v**2 + 2*c*v wrt c. 2334*h*v**3 - 6*h Find the second derivative of 76*g**2*v**2 - 80*g**2 - 4*v wrt v. 152*g**2 What is the second derivative of 11*a**2*y - 88*a**2 + 4219*a*y wrt a? 22*y - 176 What is the first derivative of 2*i**3*q*x + 2*i**3*q + i**2 - 2*i*q*x - 4*i*x - q*x**2 - q wrt x? 2*i**3*q - 2*i*q - 4*i - 2*q*x What is the first derivative of 550*y**4 - 4847? 2200*y**3 What is the derivative of c**3*h*i**3 + 2*c**3*i**2 + c**2*h + 970*c*h*i + 163*c*i**3 + 10*c wrt h? c**3*i**3 + c**2 + 970*c*i What is the derivative of 7*c**3*v**2*z - 4*c**3*v*z - 3*c**3*z + c**3 + 6*c - 2*v*z wrt v? 14*c**3*v*z - 4*c**3*z - 2*z What is the second derivative of 13709*b**2*g + 208*b*g - 7*b - 2*g + 3 wrt b? 27418*g What is the first derivative of -41*h**3 - 2*h - 209? -123*h**2 - 2 What is the second derivative of 417*j**3 + 10*j - 11? 2502*j What is the second derivative of -879*x**5 - x**2*y + 64*x*y + 29*y - 2 wrt x? -17580*x**3 - 2*y Find the third derivative of 26*a**3*f*i**3 - 2*a**3*f - a**3*i**2 - 237*a**2*f**2*i**3 - 13*f**2*i**2 - f**2*i wrt i. 156*a**3*f - 1422*a**2*f**2 Find the second derivative of -343*x**4 - x - 177. -4116*x**2 Find the second derivative of 5239*d**2 + 5729*d. 10478 What is the third derivative of -13431*g**3 + 3332*g**2 + 2? -80586 Find the first derivative of 163*o + 34. 163 What is the second derivative of -1947*z**4 - 1865*z? -23364*z**2 What is the third derivative of 12780*h*x**6 - 20*h*x - 4*h + x**2 + 1 wrt x? 1533600*h*x**3 What is the second derivative of h**4*y**2 - 102*h**2*y**2 + 4*h**2 + 8*h*y**2 + h*y - 2*y**2 wrt h? 12*h**2*y**2 - 204*y**2 + 8 What is the first derivative of -481*h**4 - 2*h + 3431 wrt h? -1924*h**3 - 2 What is the first derivative of 109*d**4 + 358? 436*d**3 Find the second derivative of -10367*l**3 + 2*l**2 + 23*l + 76. -62202*l + 4 What is the first derivative of -58*d*j*v**2 + 97*d*j*v - 24*d*v**2 - 45*d*v wrt j? -58*d*v**2 + 97*d*v Find the third derivative of 1048*v**5 + 694*v**2 wrt v. 62880*v**2 What is the third derivative of -3*p**3*q**3 - 4*p**3*q**2 - 218*p*q**3 + 3*q**2 wrt q? -18*p**3 - 1308*p Find the second derivative of -3781*r**4 + 2*r**2*x + 6171*r*x - 2*r wrt r. -45372*r**2 + 4*x Find the third derivative of u**4 - 13*u**3 - 40*u**2 + 9. 24*u - 78 What is the third derivative of -68*d**3*y**3 + 3286*d**3*y**2 - d**3 - 9*d**2*y**3 - d - y**3 wrt y? -408*d**3 - 54*d**2 - 6 What is the second derivative of 22*i**2*j**3*t**2 + 3*i**2*j**2 - i*j**3*t**2 + 34*i*j**3 - j**3*t**2 wrt i? 44*j**3*t**2 + 6*j**2 Find the second derivative of -3*p**2*q**2*r**2 - 2*p**2*q*r**3 - 8*p**2*q*r - 32*q**2*r**3 - 6*r**2 wrt q. -6*p**2*r**2 - 64*r**3 Find the third derivative of -20*j**3*s**4 - 3855*j**3*s
{ "pile_set_name": "DM Mathematics" }
s the remainder when 9 is divided by x? 3 Let k be -2 + 7*4 + 3. Let s = 59 - k. Calculate the remainder when s is divided by 16. 14 Suppose -5*z = f - 3*z - 20, -3*f - 3*z + 45 = 0. Let d(h) = -h**3 - 7*h**2 - h + 5. Calculate the remainder when (-5 + -2)/((-2)/f) is divided by d(-7). 11 Suppose 0 = 3*u + 2*u - 350. Suppose i + u = 6*i. Calculate the remainder when 40 is divided by i. 12 Let i(v) = 3*v**2 - 28*v + 15. Calculate the remainder when i(11) is divided by 28*((-26)/(-14) - 1). 22 Let b = 40 + -24. Let n be 15/3 + 1 + -1. Suppose -n*r + 0*r + 154 = l, 3*r = 5*l + 98. What is the remainder when r is divided by b? 15 Suppose 4 = 3*c + 3*g - 8*g, -c + 3*g = 0. Suppose c*i = 2*i - 3. Calculate the remainder when 58 is divided by (i/(-2))/(3/40). 18 Suppose 2*u + 2*o + 12 = 5*u, 0 = 2*u + o - 15. Suppose 0*g + u = 2*g. Suppose -25 = -g*m + 35. What is the remainder when 58 is divided by m? 18 Suppose -d = -5*i - 21, 5*d - 123 = 4*i - 18. Calculate the remainder when 227 is divided by d. 17 Let y = -24 - -29. Suppose 2*z - 4 = 2. Suppose z + 42 = 5*t. What is the remainder when t is divided by y? 4 Let h(u) = -4*u - 1. Suppose 3*c + 5*a - 58 = 0, -a + 10 = a. Calculate the remainder when c is divided by h(-1). 2 Suppose -r - r - 2*j = -14, 0 = -5*j - 15. What is the remainder when r is divided by 4? 2 Let b = 71 - 26. What is the remainder when 177 is divided by b? 42 Suppose 5 + 1 = 2*g, -3*y + g + 108 = 0. Calculate the remainder when y is divided by 8. 5 Let s(g) = -g**2 - 10*g + 14. Suppose 5*u = d - 6*d - 10, 4*d = 5*u - 26. What is the remainder when s(-11) is divided by u? 1 Suppose 0 = -8*o + 11*o - 120. Calculate the remainder when o is divided by 14. 12 Let n(z) = z**3 + z + 12. What is the remainder when n(0) is divided by 5? 2 Suppose -2*l = -4*n + 4934, -n - n - 5*l + 2485 = 0. What is the remainder when 47 is divided by n/78 - (-2)/12? 15 Suppose -4*u + 24 = 4, u = m - 47. Calculate the remainder when m is divided by 18. 16 Let k(g) be the second derivative of g**5/20 + 3*g**4/4 + g**3 - 11*g**2/2 - g. Let n be k(-8). Let m = 8 - n. What is the remainder when m is divided by 2? 1 Let r(j) = -2*j**2 - 11*j - 7. Calculate the remainder when 29 is divided by r(-4). 4 Suppose -5*r - 3*k = -25, -3*r - 9 = -0*r - 3*k. Suppose r*y - 65 = -3*y. Let i = -91 + 129. What is the remainder when i is divided by y? 12 Let y(z) = 2*z**2 - 9*z + 1. What is the remainder when y(6) is divided by 10? 9 Let y(z) = -z**2 - 16*z - 38. Let p(u) = -u**3 - 9*u**2 - 9*u - 8. Let x be p(-8). Suppose 2*o = -x*o + 98. What is the remainder when o is divided by y(-5)? 15 Suppose 0*y + 4*y + 4 = 0, 5*t + 2*y = 83. Calculate the remainder when 67 is divided by t. 16 Suppose -h = 3*h + 3*k - 34, 2*h - 3*k - 26 = 0. Suppose -4*d + 39 + 69 = 0. Calculate the remainder when d is divided by h. 7 Suppose 0 = -3*k + 794 - 218. Suppose -6*d = -10*d + k. What is the remainder when d is divided by 10? 8 Let u = 5 + -5. Suppose -b + 3 = -u*b. Suppose -b - 37 = -4*c. Calculate the remainder when 18 is divided by c. 8 Let u(w) = -4*w - 3. Suppose 5*f = 8 - 28. Let g be u(f). Suppose 77 = 5*s + 2*p, 61 + g = 5*s - p. What is the remainder when 29 is divided by s? 14 Suppose -z - 24 = -3*z. Calculate the remainder when 34/(-3 + 44/z) is divided by 13. 12 Suppose 182*x - 65 = 177*x. What is the remainder when 74 is divided by x? 9 Let b = 16 + -16. Suppose b = 5*w - 21 - 9. Calculate the remainder when 16 is divided by w. 4 Let x = -50 - -56. What is the remainder when 47 is divided by x? 5 Suppose 3*u + 2 = -5*p - 0*u, p - 14 = 3*u. What is the remainder when 28 + p + 0 + 3 is divided by 9? 6 Let v = 207 + -144. What is the remainder when v is divided by 17? 12 Let t(y) = -y - 3. Calculate the remainder when (-25 - -1)*(-5)/10 is divided by t(-8). 2 Suppose -4*s - 3*w - 2*w = -42, 4*s = -3*w + 38. Calculate the remainder when 31 is divided by s. 7 Suppose 0 = 3*u - 9 - 75. Suppose 3*k = -4*c + 43, -3*k + 1 = -2. Calculate the remainder when u is divided by c. 8 Let i be (-6)/(-15) + 6/(-15). Suppose 1 = -u + b, 3*b - 11 = u - i*u. What is the remainder when 7 is divided by u? 3 Let y(n) = 5*n**2 - 4*n. Calculate the remainder when 109 is divided by y(-2). 25 Suppose 3*v + 220 = 8*v. Suppose 2*q = 4*q - v. Calculate the remainder when q is divided by 12. 10 Let g(m) = m**3 + 7*m**2 - 20*m - 8. Calculate the remainder when g(-9) is divided by 1. 0 Let d(w) = w**3 + 6*w**2 - 8*w - 7. Let g be d(-6). What is the remainder when g*(6/2 + -1) is divided by 21? 19 Let x = -12 - 3. Let w be ((-6)/(-4))/(x/1120). What is the remainder when 27 is divided by (-3)/2*w/12? 13 Suppose 0*s + 4*g + 149 = 3*s, -3*g + 232 = 4*s. Calculate the remainder when s is divided by 12. 7 Let t(v) = v**3 - 3*v + 2. Let i = 13 - 10. Calculate the remainder when t(i) is divided by 7. 6 Suppose -9*z - 266 = -16*z. What is the remainder when z is divided by 23? 15 Let q be 16*-2*4/(-16). Suppose -4*n - 24 = -q*n. What is the remainder when 11 is divided by n? 5 Suppose -2*r + 4*r - 188 = 0. Calculate the remainder when r is divided by 19. 18 Let y(z) = z**2 - 18*z + 33. Calculate the remainder when y(17) is divided by 10. 6 Suppose 5*d - 194 = -3*f - f, -2*f = 3*
{ "pile_set_name": "DM Mathematics" }
1324300*q**3 - 2 Find the second derivative of -1229*x*z**3 + 2*x*z**2 + 620616*x*z - 2*x + 308*z**5 + 11*z wrt z. -7374*x*z + 4*x + 6160*z**3 Find the third derivative of -63408510*m**6 - 84283783*m**2 wrt m. -7609021200*m**3 What is the third derivative of 138953838*g**2*m**4 - g**2*m**2 + 19795*g**2*m + 10*g*m**2 + 9*g*m wrt m? 3334892112*g**2*m Find the second derivative of -14320930*b**3 - 130*b + 41657. -85925580*b What is the first derivative of -9870861*v**2 + 6197528? -19741722*v What is the third derivative of 31191555*v**6 - 37656143*v**2? 3742986600*v**3 What is the derivative of -481901715*w**2 - 571982014 wrt w? -963803430*w What is the second derivative of -42*q*r**3 + 1462*q*r**2 + 13*q*r - 1019*q + 5*r**3 - 4 wrt r? -252*q*r + 2924*q + 30*r What is the second derivative of 28*k*u**2*x - 13*k*u**2 - k*u + 2*k*x - 2288*k + 964*u**2*x - 2*u**2 + u*x - 41*u wrt u? 56*k*x - 26*k + 1928*x - 4 What is the third derivative of 52722*k**4 - 30*k**3 - 14402356*k**2? 1265328*k - 180 What is the third derivative of -12454*m**5 + 4*m**4 - m**3 - 522035*m**2 + m wrt m? -747240*m**2 + 96*m - 6 Find the third derivative of -7*d*t*x**3 - d*t*x**2 - 2*d*x**3 + 2*d*x**2 + 422*t*x**3 + 1143*t*x - 135*x**3 - 16*x**2 + 2 wrt x. -42*d*t - 12*d + 2532*t - 810 Differentiate h**4 - 21*h**3 + 8641*h - 16422331 wrt h. 4*h**3 - 63*h**2 + 8641 Find the second derivative of -432230*b**4 + 32*b**2*d**2 + 132*b*d**2 + 11*b*d + b + 39*d**2 - d + 11 wrt b. -5186760*b**2 + 64*d**2 Find the third derivative of -156945788*p**4*t**3 - 3*p**2*t**3 + 18*p**2*t**2 + 41*p - 93*t**2 - 2 wrt p. -3766698912*p*t**3 Find the second derivative of 135*b**3*q**2 - 34745*b**2*q**2*v**3 - 15*b*q**2*v + 135*b*v**3 - 5*q**2*v**3 + 21*q**2*v**2 - q**2*v wrt b. 810*b*q**2 - 69490*q**2*v**3 What is the second derivative of 6*n**3 + 5762284*n**2 + 73701233*n? 36*n + 11524568 Find the second derivative of -3111*u**4 + 118*u**3 - 7*u**2 + 33409492*u wrt u. -37332*u**2 + 708*u - 14 What is the third derivative of 74601707*i**6 - i**2 - 2037179 wrt i? 8952204840*i**3 Differentiate -7399*g*t**2*x + g*t - 712*g*x**2 + 281*t**2*x**2 + 19*t**2*x + t**2 + t*x**2 + 876*t*x - x**2 with respect to g. -7399*t**2*x + t - 712*x**2 What is the third derivative of -26*b*d**3*h + 70*b*d**3 + 3*b*d**2*h - 2*b*d*h + 2*b*h + 13*d**3*h + 334*d**3 + 2*d*h + 9638*d + 8 wrt d? -156*b*h + 420*b + 78*h + 2004 Find the third derivative of -29844*g**2*h**3 - 3*g**2*h**2 - 119*g*h**3 - 3264*g + 125*h**2 wrt h. -179064*g**2 - 714*g Find the first derivative of 451460636*a**2 + 152622163. 902921272*a What is the derivative of -149775587*n + 84448268 wrt n? -149775587 What is the third derivative of 287880192*g**3 - 22237234*g**2? 1727281152 What is the third derivative of -5340*p**3*t**2 + 601*p**3*t - p**3 - p**2*t + 757*p**2 + 52*t**2 - 7*t wrt p? -32040*t**2 + 3606*t - 6 What is the second derivative of -123*a*m**3*o**2 - 3372*a*m**2*o**3 - 46371*a*m + 4*m*o**3 + 3*m wrt m? -738*a*m*o**2 - 6744*a*o**3 Differentiate 8953177*h**3 + 5*h**2 + 3005884 with respect to h. 26859531*h**2 + 10*h What is the second derivative of 114404615*s**2 + 61198404*s - 2 wrt s? 228809230 What is the third derivative of -12337986*g**3 + 4344635*g**2? -74027916 What is the derivative of 889*c*d**2*j + 281*c*d*j + 11*c*j - 332800*c + 5*d**2*j + 1 wrt d? 1778*c*d*j + 281*c*j + 10*d*j Find the second derivative of -82509*f**4 + 63*f**3 - 38*f + 24423. -990108*f**2 + 378*f Find the third derivative of 211760*f**4*s**3 - 109*f**4*s - 93*f**2 - 2*f*s**3 - 36*s**3 - 4*s**2 + 138*s + 2 wrt f. 5082240*f*s**3 - 2616*f*s Differentiate -7810629*j + 5726603 wrt j. -7810629 What is the second derivative of 905453194*g**2 - 691429*g - 45 wrt g? 1810906388 Find the third derivative of -32146193*p**3 + 18007*p**2 + 2715. -192877158 Find the first derivative of 2*j**2*q**2 + 41834749*j**2*q + 3*q**2 + 1196593 wrt j. 4*j*q**2 + 83669498*j*q What is the derivative of -14600*s**2 + 633*s - 4425325 wrt s? -29200*s + 633 What is the third derivative of -1126749*q**4 + 253587*q**2 + 17*q - 1? -27041976*q Find the second derivative of 258069*r**3 - 577*r**2 - 2*r - 100910603. 1548414*r - 1154 What is the third derivative of -759663900*w**5 + 986059816*w**2 wrt w? -45579834000
{ "pile_set_name": "DM Mathematics" }
Let p = -1 + -17. Let o = 22 + p. Calculate the lowest common multiple of c and o. 20 Let y = -1825 + 2121. Calculate the smallest common multiple of y and 88. 3256 Find the common denominator of (-8398)/715 - -13 - (6/(-4))/(-3) and -43/198. 990 Let p = 6 - 4. Suppose -p*u + d + 52 = 0, 0 = -5*d - 0*d - 20. Let j(v) = -v**2 - 8*v + 23. Calculate the least common multiple of j(-10) and u. 24 Suppose -2*m = 2*z - 450, 0 = -8*z + 4*z - 5*m + 905. What is the common denominator of (27/(-240))/(30/(-50)) and 982/z + 16/40? 176 Let r = 14750 + -398317/27. What is the common denominator of r and -46/55? 1485 What is the common denominator of 47/405 and -226*1/(-150) - (-9 - (-8 - 2))? 2025 What is the common denominator of 45/91 and 441/98 - (-677)/(-156)? 1092 Let w(d) = -3*d**2 - 31*d + 396. What is the lowest common multiple of w(0) and 924? 2772 What is the least common multiple of 3 and 34/(-68)*(-3672)/4? 459 Let a(t) = -t**2 - 4*t + 21. Let b be a(3). Suppose b = 7*x + 19 - 145. What is the smallest common multiple of x and 3? 18 Let f(b) = -12*b**2 + b + 2. Let y be f(4). What is the common denominator of 112/64*(-270)/140 and (y/(-72))/(8/6)? 16 Suppose 3*u - 4*h - 89 = -55, -52 = -2*u - h. What is the lowest common multiple of u and 370? 4070 What is the common denominator of 2229358/203680 + 2 + -13 and 37/1900? 7600 Suppose 15 + 16 = 5*p + 2*w, -3*p + 30 = 5*w. Let n(g) = g**2 + g + 50. Calculate the lowest common multiple of n(p) and 20. 80 Let f(q) = 8*q + q + 56 - 12*q. What is the lowest common multiple of f(0) and 8/1 - (1 + -1)? 56 Let z(k) = -5*k + 45. Let f be z(6). Suppose 3*m - 11*m = -1392. Find the common denominator of -31/8 and (m/15)/(-3*(-21)/f). 168 Find the common denominator of (-3)/(-4) - (-6 + (-27433)/(-3780)) and -23/120. 1080 Let n = 15708049493006/33705 - 466045082. Let f = n + 4/1605. What is the common denominator of 19/7 and f? 63 Let o = -2446 - -3739. Calculate the least common multiple of 1724 and o. 5172 Suppose -6*q = 4939 - 6079. What is the least common multiple of q and 18? 1710 Let o = -359209667/1104 + 325371. Find the common denominator of -107/864 and o. 19872 Let f(t) be the second derivative of 1/20*t**5 - 1/12*t**4 - 5/6*t**3 - 6*t**2 - 12*t + 0. Calculate the smallest common multiple of 6 and f(4). 48 Let d(i) = 37*i + 82. Let u be d(7). What is the common denominator of (3/(-117))/((-11)/u) and -58/9? 117 Let p = 3568 - 3466. Calculate the smallest common multiple of p and 1275. 2550 Let r(l) = l**2 + 38*l - 83. Let h be r(-40). Calculate the common denominator of -6/7 and 9/h - (1 - 662/182). 91 Let j = -532 + 535. Suppose y - 3*c = 26, -j*y + 3*c - c = -43. Calculate the lowest common multiple of 10 and y. 110 Let r = 26 + -24. What is the lowest common multiple of (0 - 12)*-6 - (7 - 60 - -47) and r? 78 Find the common denominator of 4/85 and ((-1)/(-1000))/((-47)/(-2491)). 17000 Let n = 477/19 - 1198509/47728. What is the common denominator of 99/16 and n? 2512 Let q = 379890/17 - 9441541/425. Let p be (-10629)/81 + (-2)/(-9). Let o = q + p. Calculate the common denominator of o and -56/11. 275 Calculate the lowest common multiple of 49 and (-4 - 5/(-1))/((42/(-7))/(-1722)). 2009 Suppose 3*w = -2*w - 4*a - 10, a + 1 = -2*w. Let p = 31 + -19. Calculate the least common multiple of p and w. 12 Let p be (7572081/880)/((-27)/132). Let y = p - -42064. What is the common denominator of y and 59/24? 120 Let j(i) = -9*i**2 + 30*i + 1. Calculate the smallest common multiple of 204 and j(3). 1020 Calculate the common denominator of (-34 - -25) + 7775/910 and 85/1404. 9828 Suppose 897 = n + 4*p, 25*n - 3*p - 1717 = 23*n. What is the least common multiple of 1896 and n? 20856 Suppose -g = -3*l - 31 - 10, 2*l = -3*g - 9. Suppose 65*p + 56*p + 242 = 0. Find the common denominator of -11/9 and 1 - 279/l*p/45. 90 Calculate the common denominator of 163/30 and -3 - 5/((-140)/181). 420 Let b = 83722/13 - 6434. Let q = 1269/52 - b. Calculate the common denominator of q and 13/40. 40 Let v(y) = 199*y + 95. Let l be v(-7). Let j = -5165/4 - l. Suppose -2*p - 35 = n, -2*p - 35 = -p - 3*n. Calculate the common denominator of j and p. 4 Let b be (-3 - 2/2 - -4)/1. Suppose 44 = 4*g - 28*s + 24*s, b = -5*g + 4*s + 53. Calculate the least common multiple of (1*2)/((-2)/(-11)) and g. 99 Let t = -233 - -66. Calculate the common denominator of 121/20 and (t - (-4 + 3))*(-12)/480. 20 Let j = -782 + 854. What is the least common multiple of 12 and j? 72 Let v(o) = 2*o**2 + 39*o - 6035. Calculate the least common multiple of v(53) and 1200. 13200 Let r(x) = -69*x**2 + 13*x + 12. Let v be r(-3). Let c = 649 + v. What is the lowest common multiple of 3 and c? 3 Let t = 17009 - 918415/54. Calculate the common denominator of -13/522 and t. 1566 Let x = 4135/4 + -22705/22. Let z = 1890 + -60481/32. Calculate the common denominator of z and x. 352 Suppose 3*t = 2*g - 4*g - 700, 930 = -4*t - g. What is the common denominator of ((-1)/(-5))/((-44)/(-305)) and 8 - t/(-32)*1? 44 What is the lowest common multiple of 1*4259*1 - (198/(-3) - -71) and 16? 34032 Suppose -2*p - 6*x + 2*x = 4, -4*p + 7 = 3*x. Let u be 8015441/418 - p/38. Let v = u + -19179. What is the common denominator of -39/2 and v? 22 Let i = 18 + -433/20. What is the common denominator of 182/(-48) + -2 - -2 and i? 120 Let r = 1233635 - 419429217/340. Let l = r - -8/
{ "pile_set_name": "DM Mathematics" }
the third smallest value? (a) -1 (b) 3/20 (c) 5 (d) -5 b What is the biggest value in -0.4, -0.08, 3, -2/15? 3 What is the smallest value in -0.4, 2/7, -4, 2/9? -4 Which is the biggest value? (a) -1 (b) 2 (c) -5/2 (d) 20.4 d What is the biggest value in -0.2, 20, 0.4, -0.3? 20 What is the smallest value in -0.1, -0.7, 196, 0.3, -0.4? -0.7 Which is the biggest value? (a) 3 (b) -30.8 (c) 18/11 a What is the third smallest value in 0, -2/5, -1/3, 2/25? 0 Which is the second smallest value? (a) -5.1 (b) 0 (c) 1/5 b Which is the fifth smallest value? (a) 1/2 (b) -0.4 (c) 5 (d) -0.5 (e) -41.4 c Which is the third biggest value? (a) -25 (b) 0.5 (c) -1/4 (d) 11 c What is the third biggest value in 13, -1, 0, 1/5? 0 What is the second smallest value in 2/17, 1/4, -2/11, -3, 2? -2/11 Which is the fourth biggest value? (a) 0.2 (b) -7 (c) -5 (d) 0.4 b Which is the third smallest value? (a) -3/2 (b) 29 (c) 5 b Which is the third biggest value? (a) 10 (b) 21 (c) -0.04 c Which is the third smallest value? (a) -1/3 (b) -23 (c) 0.052 (d) 2/15 c What is the fourth biggest value in 3, 4/7, 17, -2? -2 What is the third biggest value in -547, -2, 0.4? -547 Which is the fourth biggest value? (a) -0.1 (b) 2 (c) 15 (d) 3 a Which is the second smallest value? (a) -0.3 (b) 6 (c) -7/13 (d) 0 a Which is the fourth biggest value? (a) 4 (b) 281 (c) -4 (d) -2 (e) 1/7 d Which is the fourth smallest value? (a) -4 (b) -0.5 (c) 8 (d) 3 c What is the biggest value in 0.7, -4, 6/11, 3/7? 0.7 What is the third biggest value in 3, 1, 2136? 1 Which is the fourth biggest value? (a) -8/3 (b) -1/2 (c) -21 (d) -2 c Which is the smallest value? (a) -20 (b) 0.1 (c) -317 c Which is the smallest value? (a) 5 (b) -11.3 (c) 0.5 (d) -0.5 (e) 3 b Which is the third smallest value? (a) -63 (b) 2/11 (c) 5 (d) -3 (e) -0.44 e Which is the third smallest value? (a) -0.4 (b) 39/2 (c) -0.1 b Which is the second biggest value? (a) -5 (b) -397 (c) 0 a Which is the second smallest value? (a) -0.01 (b) -1/4 (c) -3/2 (d) -2 (e) -2/11 c Which is the biggest value? (a) 13 (b) -2 (c) 1/94 a What is the fifth biggest value in -1/3, -6/11, -0.1, 2, -9? -9 What is the third biggest value in 13/271, 2, -0.1? -0.1 Which is the smallest value? (a) -4/5 (b) -0.3 (c) 1/4 (d) 6 a Which is the third smallest value? (a) -2/9 (b) -6 (c) 728 c What is the third biggest value in -0.03, -1, -7, 0.4? -1 What is the second smallest value in 0.4, 66, -3, -0.7? -0.7 What is the smallest value in -0.3, -5/2, 6? -5/2 Which is the third smallest value? (a) 1/894 (b) -0.5 (c) -0.1 a Which is the fourth biggest value? (a) 0.2 (b) -0.09 (c) 5 (d) -1/4 d What is the second smallest value in -2/11, -1/4, 0.18, -0.3? -1/4 Which is the smallest value? (a) -2/7 (b) -0.081 (c) -2.4 c Which is the smallest value? (a) -11 (b) -0.16 (c) 0 a Which is the biggest value? (a) -0.3 (b) 0.4 (c) -3/7 (d) 16 (e) 0.1 d Which is the third smallest value? (a) 11 (b) -2 (c) 1 a What is the second smallest value in 0.5, -4/13, -2? -4/13 Which is the second biggest value? (a) -2/19 (b) 2/11 (c) 2/5 (d) 1.6 (e) -2 c What is the second smallest value in -0.4, 3, -1, -7? -1 Which is the third biggest value? (a) 4 (b) 45/2 (c) 0.2 c Which is the third smallest value? (a) 11.2 (b) 1 (c) 24 c What is the smallest value in 2, 0.5, 4, -0.08? -0.08 What is the second biggest value in -1, -2/15, -21/8? -1 Which is the biggest value? (a) 0.5 (b) 4/5 (c) 7 (d) 1/3 c What is the second biggest value in 4/7, 10, -0.8? 4/7 What is the smallest value in -0.3, -41/2, -0.2, -1? -41/2 Which is the biggest value? (a) -6/13 (b) 7 (c) -33 b What is the third biggest value in -2, -0.4, -2/43, 0? -0.4 What is the smallest value in -1, -6, 82? -6 What is the biggest value in -2, 0.3, -1/3, -1/4? 0.3 Which is the third smallest value? (a) -2/5 (b) 3 (c) -0.16 b What is the third smallest value in -1/3, -18, -4? -1/3 Which is the biggest value? (a) -18 (b) -2 (c) -3 b What is the third smallest value in -1, 2/7, 53, 2, -2/7? 2/7 What is the fifth smallest value in 0.5, 1/3, -10, 13, 1? 13 Which is the smallest value? (a) -0.5 (b) 0.4 (c) 4 (d) 1/3 a Which is the fourth biggest value? (a) -1 (b
{ "pile_set_name": "DM Mathematics" }
e millions digit of 33168334? 3 What is the units digit of 123835? 5 What is the units digit of 2179973? 3 What is the ten thousands digit of 1856454? 5 What is the hundred thousands digit of 8359201? 3 What is the hundreds digit of 314021? 0 What is the thousands digit of 11413974? 3 What is the millions digit of 1332701? 1 What is the millions digit of 7016382? 7 What is the ten thousands digit of 3610822? 1 What is the ten thousands digit of 1824036? 2 What is the thousands digit of 665751? 5 What is the millions digit of 1525407? 1 What is the tens digit of 215610? 1 What is the tens digit of 1047349? 4 What is the tens digit of 145440? 4 What is the units digit of 11118491? 1 What is the hundred thousands digit of 4337034? 3 What is the ten thousands digit of 267095? 6 What is the units digit of 463904? 4 What is the thousands digit of 382417? 2 What is the thousands digit of 722195? 2 What is the ten thousands digit of 447040? 4 What is the thousands digit of 581903? 1 What is the hundreds digit of 423617? 6 What is the tens digit of 1252782? 8 What is the thousands digit of 224938? 4 What is the units digit of 20575? 5 What is the tens digit of 2901102? 0 What is the tens digit of 3932612? 1 What is the tens digit of 13171043? 4 What is the tens digit of 6101071? 7 What is the thousands digit of 166392? 6 What is the hundreds digit of 7409927? 9 What is the hundreds digit of 1518424? 4 What is the thousands digit of 15178? 5 What is the ten thousands digit of 198816? 9 What is the thousands digit of 97590? 7 What is the ten thousands digit of 394919? 9 What is the units digit of 2265926? 6 What is the units digit of 479105? 5 What is the hundreds digit of 24129160? 1 What is the hundred thousands digit of 629253? 6 What is the tens digit of 1718685? 8 What is the ten thousands digit of 631446? 3 What is the thousands digit of 336971? 6 What is the hundreds digit of 2409969? 9 What is the ten thousands digit of 2327525? 2 What is the tens digit of 221206? 0 What is the tens digit of 6383661? 6 What is the thousands digit of 24116715? 6 What is the ten thousands digit of 5478976? 7 What is the ten thousands digit of 21728580? 2 What is the tens digit of 3012615? 1 What is the hundreds digit of 2992875? 8 What is the units digit of 80230? 0 What is the hundreds digit of 1318798? 7 What is the tens digit of 6275642? 4 What is the hundred thousands digit of 20988930? 9 What is the ten thousands digit of 3077909? 7 What is the ten thousands digit of 6221203? 2 What is the hundreds digit of 111426? 4 What is the hundreds digit of 89694? 6 What is the tens digit of 25788840? 4 What is the units digit of 5250320? 0 What is the tens digit of 159832? 3 What is the units digit of 3270931? 1 What is the thousands digit of 1816281? 6 What is the hundred thousands digit of 1792740? 7 What is the hundreds digit of 35663864? 8 What is the millions digit of 1862350? 1 What is the hundred thousands digit of 3923013? 9 What is the units digit of 501835? 5 What is the tens digit of 12423088? 8 What is the ten thousands digit of 2228438? 2 What is the millions digit of 1224500? 1 What is the tens digit of 498514? 1 What is the hundred thousands digit of 3460565? 4 What is the thousands digit of 827936? 7 What is the units digit of 1412488? 8 What is the tens digit of 187438? 3 What is the millions digit of 1183361? 1 What is the tens digit of 5131400? 0 What is the ten thousands digit of 6406673? 0 What is the thousands digit of 143666? 3 What is the ten millions digit of 17414937? 1 What is the millions digit of 3568628? 3 What is the hundred thousands digit of 5383137? 3 What is the hundreds digit of 172327? 3 What is the ten thousands digit of 4986332? 8 What is the millions digit of 8371855? 8 What is the hundred thousands digit of 1214168? 2 What is the hundreds digit of 641108? 1 What is the units digit of 1282880? 0 What is the hundreds digit of 340810? 8 What is the millions digit of 6570000? 6 What is the thousands digit of 7074171? 4 What is the units digit of 29280996? 6 What is the thousands digit of 77693? 7 What is the ten thousands digit of 2301697? 0 What is the units digit of 1043841? 1 What is the units digit of 177863? 3 What is the units digit of 28829475? 5 What is the hundreds digit of 1075800? 8 What is the units digit of 9357? 7 What is the tens digit of 4488347? 4 What is the hundreds digit of 231802? 8 What is the ten thousands digit of 16799017? 9 What is the hundred thousands digit of 11485144? 4 What is the ten thousands digit of 343563? 4 What is the thousands digit of 49813? 9 What is the tens digit of 125325? 2 What is the millions digit of 9012265? 9 What is the units digit of 53001? 1 What is the ten thousands digit of 19275? 1 What is the hundreds digit of 2292239? 2 What is the hundreds digit of 1662840? 8 What is the tens digit of 1381146? 4 What is the thousands digit of 1041556? 1 What is the hundred thousands digit of 6857022? 8 What is the millions digit of 2001257? 2 What is the hundreds digit of 181317? 3 What is the millions digit of 22170358? 2 What is the ten thousands digit of 11769207? 6 What is the hundred thousands digit of 1484860? 4 What is the ten millions digit of 29869593? 2 What is the hundred thousands digit of 867104? 8 What is the tens digit of 529406? 0 What is the millions digit of 7617482? 7 What is the hundred thousands digit of 3196758? 1 What is the ten thousands digit of 2359501? 5 What is the ten thousands digit of 108151? 0 What is the hundred thousands digit of 729903? 7 What is the ten thousands digit of 2103254? 0 What is the hundred thousands digit of 471075? 4 What is the thousands digit of 1228298? 8 What is the tens digit of 81734? 3 What is the units digit of 4051611? 1 What is the ten millions digit of 16592611? 1 What is the units digit of 86358? 8 What is the ten thousands digit of 118271? 1 What is the units digit of 232052? 2 What is the ten thousands digit of 424465? 2 What is the units digit of 232275? 5 What is the thousands digit of 238720? 8 What is the units digit of 1401614? 4 What is the thousands digit of 535453? 5 What is the thousands digit of 2113? 2 What is the ten millions digit of 11557905? 1 What is the units digit of 21443572? 2 What is the thousands digit of 1755031? 5 What is the ten thousands digit of 3755516? 5 What is the tens digit of 5417735? 3 What is the hundreds digit of 110684? 6 What is the units digit of 338475?
{ "pile_set_name": "DM Mathematics" }
= -6*g**3 - g**2 + 3*g + 2. Let u be k(-2). What are the prime factors of 75/(-2)*(-48)/u? 3, 5 Let o be ((-9)/15)/(2/10). What are the prime factors of 7 + (o + 2 - -1)? 7 Let n(a) = a**3 + a**2 - 2*a. Let t be n(2). Let k = t + -1. Suppose -4*b + 1 = -k. List the prime factors of b. 2 Suppose 2*d = 6 - 44. What are the prime factors of -1 - (-5 - -3) - d? 2, 5 Let c(h) be the first derivative of -h**5/60 + h**4/3 - h**3/3 - 3*h**2/2 + 2. Let i(o) be the second derivative of c(o). What are the prime factors of i(6)? 2, 5 Suppose 5*z + 5*s = 210, -2*z = 3*z - s - 228. What are the prime factors of z? 3, 5 Suppose 0*z + 6 = 3*z. Let y(d) = d**2 + 10 - 2*d**z + 2*d + 5*d. List the prime factors of y(7). 2, 5 What are the prime factors of 68 - 7 - (1 + 2)? 2, 29 What are the prime factors of (271 - -2) + (-45)/9? 2, 67 Let a = -4 + 6. Suppose 6*z + 8 = a*z. Let h = 8 - z. What are the prime factors of h? 2, 5 Let n(z) = z + 3. Let b be n(-6). Let q = 7 + b. List the prime factors of q. 2 Suppose w + 3*a = -4*w + 175, -4*w - a = -133. What are the prime factors of w? 2 Let m(i) = 3*i**2 - i - 1. Let p = 2 + -5. Let t be m(p). What are the prime factors of (-1)/(-3) + t/3? 2, 5 Suppose 2*t - 46 = -z - 3*z, -3*t = 5*z - 69. Let x = t + -10. List the prime factors of x. 13 Suppose -s - 3*s + 20 = 0. Suppose -m + 34 = s*h, m = 2*h - 0*h + 6. Suppose -m = -4*k + 2*a + 18, -5*a - 17 = -3*k. List the prime factors of k. 3 What are the prime factors of -2 + 2 + 3 - -9? 2, 3 Let n(t) = -t**3 - 6*t**2 + t + 8. Let j be n(-6). Suppose 3*p + 5 = 26. Suppose j*r - p = 3. What are the prime factors of r? 5 Let d(z) = -z**2 - 3*z + 3. Let p be d(-3). Let x = 12 - p. List the prime factors of x. 3 Let g(n) be the third derivative of n**5/60 - n**4/12 - n**3/6 + 12*n**2. Let b be (-19)/(-7) - (-4)/14. What are the prime factors of g(b)? 2 Suppose 2*t - 2*b - 241 = 277, -524 = -2*t + 4*b. List the prime factors of t. 2 Suppose 3*j - 10 = 20. Suppose -2*v + 7*v = j. Suppose -3*y - z - 4*z = -34, -v*y - 4*z = -24. List the prime factors of y. 2 Suppose 5*o + 35 = -3*c - 17, 0 = 3*o - 12. Let n be (0 + -1)*(-41 + -2). Let u = n + c. List the prime factors of u. 19 Suppose 3*w + 3*n + 50 = -n, -3*n = -w + 5. Let z(c) = c + 22. List the prime factors of z(w). 2, 3 Suppose 0*p + k - 7 = 3*p, 5*p - k + 9 = 0. Let t = p + 9. What are the prime factors of t? 2 Let g be ((-6)/4)/(1/2). Let h(j) = -6*j - 4. List the prime factors of h(g). 2, 7 Let g be 676*((-9)/6 - -1). Let r = 478 + g. What are the prime factors of r/16 + (-2)/(-8)? 3 Suppose 0 = 2*x + 5*b - 0 + 3, -10 = 2*b. List the prime factors of x. 11 Let g = 20 - -16. What are the prime factors of g? 2, 3 Suppose o + 8 = -5*t - 4, 5*o + 5*t = -40. Let h(a) = -4*a - 4. What are the prime factors of h(o)? 2, 3 Let m(n) be the second derivative of n**3/2 - n**2 + 2*n. What are the prime factors of m(3)? 7 Suppose 2*r + 3*r + h = 106, 39 = 2*r - 3*h. Let d(p) = p**3 + 5*p**2 + 2*p + 1. Let v be d(-3). Let j = r - v. List the prime factors of j. 2 Let w = 7 + 1. Let r be 316/w - 2/4. Suppose -3*s - 2*s = -m + 25, 3*s = 3*m - r. List the prime factors of m. 2, 5 Suppose 2*q - 117 = 2*x + 3*x, x + 97 = 2*q. Suppose g = -2*m + 24, -4*g = -4*m + q - 10. List the prime factors of m. 11 List the prime factors of 57 - (-8 + 4 - -1). 2, 3, 5 Let h be 14/4 - (-6)/4. Suppose h = 4*w - 3. List the prime factors of w. 2 Let i(f) be the first derivative of 2*f**3/3 + 3*f**2 + 6*f - 4. What are the prime factors of i(-4)? 2, 7 Suppose 4*j - 3*d - 134 = 0, 4*j + 3*d - 154 = -j. List the prime factors of j. 2 Let p(c) = 15*c - 31. List the prime factors of p(15). 2, 97 Let y(g) = g**3 + 3*g**2 - g - 4. Let p be y(-4). List the prime factors of 20*((-20)/p)/1. 5 Let j = -7 - -14. List the prime factors of j. 7 Suppose 5*l = -3*y + 93, -4*y + 73 = 4*l - 3*y. Let f = 26 - 24. Suppose f*v = 4*v - l. What are the prime factors of v? 3 Let j(n) = -5*n - 10. List the prime factors of j(-17). 3, 5 Suppose 4 = 2*v + 4*b, -4*v + 2*b - 18 = -6. Let p be -2 + 4 - 102/v. Suppose 3*x - p - 7 = 0. What are the prime factors of x? 2, 5 Let l = 23 + -12. Suppose t + l = 37. List the prime factors of t. 2, 13 Let q(h) = h**2 + 4*h + 4. Let m be q(-3). Let c(o) = 2*o**2 + 2*o - 1. Let x be c(m). Suppose -18 = -x*i + 6. What are the prime factors of i? 2 Let u(h) = h**3 - 8*h**2 - h + 5. Let n be u(5). Let z = -36 - n. What are the prime factors of z? 3, 13 Let g be (-5)/2*(-8)/10. Suppose 2*i + g*q - 4 = 16, -5*i + 4*q = -14. List the prime factors of i. 2, 3 Suppose -y - 14 - 9 = 0. Let a = y - -69. What are the prime factors of a? 2, 23 Suppose 150 = 2*z +
{ "pile_set_name": "DM Mathematics" }
= 0? -1, 1 Let a(m) = -4*m**3 - 22*m**2 + 26*m + 2. Let c(d) = d**2 - d - 1. Let o(i) = a(i) + 2*c(i). Determine l, given that o(l) = 0. -6, 0, 1 Let x be 3 - (4*(-4)/(-8) - 3). Let d(f) be the third derivative of 2*f**2 + 0 + 0*f - 1/12*f**5 - 7/120*f**6 + 1/12*f**3 + 1/96*f**x. What is o in d(o) = 0? -1/2, 2/7 Factor 4/11*t + 6/11 - 2/11*t**2. -2*(t - 3)*(t + 1)/11 Let g(i) = -3*i - 4. Let x be g(-6). Find t, given that -4*t**2 + 15*t - x*t + 5*t**2 = 0. -1, 0 Let u = -1104/7 + 158. Factor 4/7*t**2 - 2/7 + u*t - 4/7*t**3 - 2/7*t**4 + 2/7*t**5. 2*(t - 1)**3*(t + 1)**2/7 Let i be (-1)/(-2) + (0/(-3))/4. Let z(p) be the first derivative of -1 + 0*p**2 + 2/3*p**3 + 0*p - i*p**4. Factor z(v). -2*v**2*(v - 1) Let s(l) = -3*l**3 + l**2. Let p be s(-1). Determine y, given that -12*y + 39*y**p - 12*y**5 - 102*y**4 - 54*y**2 - 3*y**2 - 111*y**3 - 15*y**2 = 0. -2, -1, -1/4, 0 Determine h so that 20 - 70*h**2 - 40*h**3 + 102*h**4 + 4*h - 175*h**2 + 123*h**4 + 36*h = 0. -1, -2/9, 2/5, 1 Let n(j) be the second derivative of -j**5/60 - j**4/9 - 18*j. What is f in n(f) = 0? -4, 0 Factor 10/3 + 2/15*x**2 - 4/3*x. 2*(x - 5)**2/15 Let i(k) = k**3 + k**2 + k. Let u(c) = -21*c**4 - 18*c**3 + 24*c**2 + 36*c + 6. Let j(n) = -9*i(n) + u(n). Find f, given that j(f) = 0. -1, -2/7, 1 Factor 15/4*c**2 - 5/4*c**3 - 15/4 + 5/4*c. -5*(c - 3)*(c - 1)*(c + 1)/4 Let p(n) be the third derivative of 2/105*n**7 + 0*n**3 - 1/15*n**5 + 1/30*n**6 + 0 + 0*n**4 - 1/84*n**8 - 2*n**2 + 0*n. Find q such that p(q) = 0. -1, 0, 1 Let v(i) = -4 - i + 10 + 0*i. Let f be v(4). Factor 3*o**5 - 3*o**2 - f*o + 2*o**2 + 4*o**2 - 7*o**4 + 3*o**3. o*(o - 1)**3*(3*o + 2) Let g(x) be the third derivative of -x**8/560 - 31*x**7/350 - 44*x**6/25 - 416*x**5/25 - 256*x**4/5 + 2048*x**3/5 - 7*x**2. Factor g(t). -3*(t - 1)*(t + 8)**4/5 Let j = -13 - -18. Let y = j - 0. What is b in -b**4 + 5*b**y - 6*b**5 + 0*b**3 - 4*b**3 + b**2 + 5*b**3 = 0? -1, 0, 1 Let q(n) be the first derivative of 0*n + 0*n**3 - 1 - 3/8*n**4 - 3/10*n**5 + 0*n**2 + 1/2*n**6. Suppose q(p) = 0. What is p? -1/2, 0, 1 Factor 0*b + 3/4*b**2 - 3/4*b**4 + 1/4*b**5 + 0 - 1/4*b**3. b**2*(b - 3)*(b - 1)*(b + 1)/4 Let o = -45 + 45. Let i(f) be the second derivative of f + o*f**5 + 1/150*f**6 + 0*f**4 + 0*f**2 + 0 + 0*f**3 - 1/210*f**7. Solve i(h) = 0 for h. 0, 1 Let j(p) = -44*p**3 + 28*p**2 + 26*p + 26. Let l(v) = -5*v**3 + 3*v**2 + 3*v + 3. Let t(c) = -6*j(c) + 52*l(c). Let t(i) = 0. Calculate i. 0, 3 Let u(o) be the first derivative of 0*o + 1/33*o**6 - 2/55*o**5 + 7 - 1/22*o**4 + 2/33*o**3 + 0*o**2. Factor u(f). 2*f**2*(f - 1)**2*(f + 1)/11 Suppose -2*v**4 - 14*v - 2*v**2 + 14*v + 4*v**3 = 0. Calculate v. 0, 1 Let q(i) be the first derivative of -3*i**5/35 - 2*i**4/7 - 4*i**3/21 - 17. Let q(z) = 0. What is z? -2, -2/3, 0 Let d(t) be the third derivative of 0*t**4 + 0 + 0*t**6 + 0*t**5 + 1/210*t**7 - 2*t**2 + 0*t + 0*t**3. Factor d(f). f**4 Let u(d) = d**2 - d - 1. Let s(v) = v**3 - 6*v**2 + 5*v + 6. Let m(n) = -s(n) - 6*u(n). Factor m(o). -o*(o - 1)*(o + 1) Let w = 544 + -544. Factor -2/7*o**3 + w + 4/7*o**2 - 2/7*o. -2*o*(o - 1)**2/7 Suppose -4*m - 4 = b + 3*b, 0 = 2*m + 4*b + 8. Let f(j) be the second derivative of 1/18*j**3 - 2*j + 0 + 0*j**m + 1/36*j**4. Solve f(v) = 0. -1, 0 Let i be 7/(-14) + (-15)/(-6). Determine x, given that -2/9*x**3 - 2 - 2/3*x + 10/9*x**i = 0. -1, 3 Suppose -4*i - 6 = -22. Let f(z) be the third derivative of 1/72*z**i + 0*z + 0*z**3 - 1/90*z**5 + 1/360*z**6 + 0 + z**2. Factor f(l). l*(l - 1)**2/3 Let z(k) = k**2 - 2*k. Let f be z(3). Solve -2*g**3 - g**f - 2 + g**3 + 6*g - 2 = 0 for g. -2, 1 Let q(y) be the third derivative of -y**6/120 - y**5/20 + 2*y**3/3 - 9*y**2. Factor q(k). -(k - 1)*(k +
{ "pile_set_name": "DM Mathematics" }
. -5 Let g(v) = v**2 - 7*v - 9. What is g(8)? -1 Let q(n) = -n**3 + 7*n**2 - 5*n + 5. Determine q(5). 30 Let j(r) = 3*r**3 - 22*r**2 + 13*r - 30. Calculate j(7). 12 Let s(u) = -2*u**2 - 5*u + 10. Give s(-7). -53 Let i(t) = -3*t + 70. Determine i(19). 13 Let i(y) = 3*y**2 - 12*y + 10. Determine i(4). 10 Let d(i) = -i**3 - 19*i**2 + 19*i - 21. Calculate d(-20). -1 Let u(n) = -n**3 - 8*n**2 - 7*n - 9. What is u(-7)? -9 Let u(o) = -o**3 - 6*o**2 - 7*o - 5. Calculate u(-5). 5 Let j(m) = 31*m - 152. Give j(5). 3 Let m(u) = -u**2 - 11*u + 30. What is m(-12)? 18 Let v(f) = -7*f**2 - f. Determine v(-1). -6 Let i(h) = -h**3 + 20*h**2 - 32*h - 10. Give i(18). 62 Let a(k) = 2*k**2 + 7*k - 2. What is a(-4)? 2 Let s(k) = -k**2 - 2*k + 48. Give s(-13). -95 Let w(x) = 6*x - 2. Determine w(8). 46 Let h(v) = -6*v + 220. Calculate h(37). -2 Let x(a) = a**3 + 22*a**2 + 23*a + 55. Calculate x(-21). 13 Let c(i) = -11*i**2 - 1. Determine c(1). -12 Let y(v) = -v**2 + 56*v - 503. Calculate y(45). -8 Let z(l) = -13*l**3 - 2*l**2 + 3. Determine z(-2). 99 Let r(w) = w**3 - 18*w**2 - 20*w + 12. Give r(19). -7 Let k(v) = v**3 + 5*v**2 - 12*v + 8. What is k(-7)? -6 Let z(m) = 7*m**2 + 41*m - 6. Give z(-6). 0 Let w(r) = r**2 + 9*r - 14. Give w(-12). 22 Let r(f) = f**3 + f**2 - 3*f + 6. Determine r(0). 6 Let m(k) = -k**3 + 11*k**2 + 13*k - 7. What is m(12)? 5 Let w(t) = -2*t**2 - t + 2. Calculate w(2). -8 Let o(x) = 9*x**3 - 3*x - 3. Give o(3). 231 Let z(k) = -k**3 - 6*k**2 - 2*k + 4. What is z(-6)? 16 Let b(p) = p**2 - 12*p + 12. Give b(11). 1 Let n(z) = 34*z - 413. Determine n(12). -5 Let w(b) = -19*b - 106. Determine w(-5). -11 Let h(v) = -v + 30. Determine h(13). 17 Let z(q) = -q**3 + 5*q**2 + 14*q - 7. Calculate z(7). -7 Let c(u) = u**3 + 2*u**2 + 7*u + 6. Calculate c(-2). -8 Let o(l) = 2*l + 16. Determine o(0). 16 Let t(k) = -k**3 + 17*k**2 + 5*k - 39. What is t(17)? 46 Let x(l) = -l**3 + l + 7. Calculate x(0). 7 Let z(g) = -g**2 - 8*g + 6. Calculate z(-8). 6 Let z(t) = -t**2 + 16. What is z(7)? -33 Let d(l) = -5*l**2 - 5*l - 6. What is d(-1)? -6 Let h(t) = 2*t**2 + 18*t + 15. Determine h(-8). -1 Let g(x) = -x**2 - 9*x + 3. Determine g(-12). -33 Let q(s) = -7*s + 14. Calculate q(9). -49 Let o(g) = -g + 14. What is o(14)? 0 Let q(u) = -77*u - 382. Give q(-5). 3 Let h(y) = y**2 + 6*y + 11. Calculate h(-8). 27 Let j(t) = 3*t - 9. Give j(3). 0 Let c(g) = -g**2 + 17*g - 1. Calculate c(17). -1 Let x(j) = -j**3 - j**2 + 2*j - 2. Give x(0). -2 Let r(o) = o**3 + o**2 - 13*o - 3. Determine r(-4). 1 Let g(o) = 40*o - 7. Give g(2). 73 Let d(r) = -r**3 - 7*r**2 - 2*r - 23. Determine d(-5). -63 Let q(h) = -5*h - 80. Calculate q(-15). -5 Let m(y) = -39*y + 88. Give m(2). 10 Let w(a) = -2*a. Determine w(-3). 6 Let w(m) = -m**2 - 5*m + 9. Calculate w(-5). 9 Let k(q) = -q**3 - 12*q**2 - 13*q - 22. Give k(-11). 0 Let t(x) = x**3 + 9*x**2 - 22*x - 8. Determine t(-10). 112 Let i(h) = -6*h + 8. What is i(4)? -16 Let q(x) = -5*x**2 - 61*x - 2. What is q(-12)? 10 Let b(f) = -17*f**3 + f**2 - 7*f + 5. Give b(1). -18 Let p(j) = -j - 19. What is p(-20)? 1 Let p(w) = -2*w**3 - 4*w**2 + 3*w + 11. Give p(-3). 20 Let u(l) = -l + 8. Give u(-6). 14 Let x(s) = 5*s - 83. What is x(18)? 7 Let p(v) = -v - 5. What is p(9)? -14 Let m(y) = y**2 + 6*y - 21. Calculate m(8). 91 Let p(n) = -9*n - 3. Give p(-6). 51 Let v(s) = s**2 + 2*s - 45. Determine v(6). 3 Let f(i) = 2*i**3 + 7*i**2 + 5*i + 3. Give f(-3). -3 Let w(q) = -2*q - 17. Give w(-10). 3 Let m(u) = u**2 + 46*u + 342. Calculate m(-37). 9 Let x(d) = -d**3 + 15*d**2 - 21. What is x(15)? -21 Let c(q) = -q - 24. Give c(10). -34 Let r(b) = 4*b + 46. What is r(-16)? -18 Let x(b) = -b**2 + 16*b + 41. Calculate x(20). -39 Let i(b) = b**3 + 7*b**2 - 11*b - 30. What is i(-8)? -6 Let t(
{ "pile_set_name": "DM Mathematics" }
the second derivative of -7*g**5 - 5*g**4 - 384*g**3 - 117367*g. -140*g**3 - 60*g**2 - 2304*g What is the second derivative of -d**4 + 41*d**2*j**2 + 119*d**2 - 8041*d*j**2 - 5*d wrt d? -12*d**2 + 82*j**2 + 238 Find the second derivative of -62820*l**2*n**2*u**2 + 177*l**2*n*u**2 + 12*l**2*n - 6*l*n**2*u**3 + 13*l*n*u**3 wrt n. -125640*l**2*u**2 - 12*l*u**3 What is the derivative of -673648*j - 430664 wrt j? -673648 Differentiate -40094*t**2 - 8653 with respect to t. -80188*t Find the second derivative of 1095*t**4 + 870*t**3 - 9284*t - 1 wrt t. 13140*t**2 + 5220*t What is the first derivative of -4362007*j*u**4 - 256431*j wrt u? -17448028*j*u**3 Differentiate -5451*y**2 - 42*y + 217636 wrt y. -10902*y - 42 Find the third derivative of -2*s**5*y**2 + 714*s**5 + s**2*y**2 + 2*s**2 + 2*s*y - 317 wrt s. -120*s**2*y**2 + 42840*s**2 Find the second derivative of 2*w**4 + 4*w**3 + 701*w**2 - 38968*w. 24*w**2 + 24*w + 1402 Find the second derivative of 2*a**2*p*x + 17119*a**2*x - 2*a*p + 2*a*x + 2*a + 175*p wrt a. 4*p*x + 34238*x What is the derivative of 2*b**4 - 33*b**2 + 10693*b + 1477808? 8*b**3 - 66*b + 10693 What is the third derivative of -2205190*q**4 - 501981*q**2 wrt q? -52924560*q Find the second derivative of -328297*o**3 + 341420*o. -1969782*o What is the third derivative of 139168*m**3*x**3 - 6*m**3*x**2 + 13*m**3 + m*x**2 - m*x - 165 wrt x? 835008*m**3 What is the derivative of 3748*l*u**3 + 2*l*u**2 + 16*l - 2*u**2 - 89 wrt u? 11244*l*u**2 + 4*l*u - 4*u Find the third derivative of 10342*f**4*v - 16*f**3*v**3 - 15*f**2*v**3 - 4001*f**2*v + f + 4*v wrt f. 248208*f*v - 96*v**3 What is the third derivative of 33*y**3 + 106*y**2 - 31? 198 Find the third derivative of -50683*i**2*n**3 - 40895*i**2*n + 2*i*n**2 wrt n. -304098*i**2 Find the second derivative of -3*h**2*k**2*q**2 + h**2*k*q**2 + 7736*h*k**2*q**2 - 130*h*k + 43*k*q**2 wrt k. -6*h**2*q**2 + 15472*h*q**2 Find the first derivative of -143623*s**2 - 2478737. -287246*s Find the second derivative of -30*x**4 + x**3 + x**2 - 130*x + 14. -360*x**2 + 6*x + 2 Find the second derivative of f**2*i**2*r + 4*f**2*i*r - 114*f**2*i + 2*f*i*r - f*i - f*r + 372*i**3*r - 42*i**2*r - 5 wrt i. 2*f**2*r + 2232*i*r - 84*r What is the third derivative of -7992*v**4 - 36390*v**2 + 2*v? -191808*v Find the second derivative of -816583*a**3 + 412900*a wrt a. -4899498*a What is the derivative of 219404*n**2 + 53578 wrt n? 438808*n Find the third derivative of y**4 + 74574*y**3 + 508302*y**2. 24*y + 447444 Differentiate 215*l**3 + 3*l**2*p - 2*l**2 - 8*l*p - 318*p + 1 wrt l. 645*l**2 + 6*l*p - 4*l - 8*p What is the third derivative of 295155*m**3 + m**2 - 14*m + 1843? 1770930 What is the third derivative of -1128168*n**6 - 541304*n**2? -135380160*n**3 Find the third derivative of -137204*z**4 - 2078*z**2 + 38*z wrt z. -3292896*z Find the third derivative of -132689*t**6*y**2 + 237*t**2*y**2 + t**2*y + t**2 - 54*t*y**2 wrt t. -15922680*t**3*y**2 Differentiate -a**3*u - 61892*a**2*u - a - 37*u + 4479 with respect to a. -3*a**2*u - 123784*a*u - 1 Differentiate -42066*l**4 + 39866 wrt l. -168264*l**3 What is the derivative of -3*d**2*s - 10*d*s + 1018*d + 139*s - 285 wrt d? -6*d*s - 10*s + 1018 Find the first derivative of -5*j**4 - 6*j**3 + 24*j**2 + 24*j - 954234 wrt j. -20*j**3 - 18*j**2 + 48*j + 24 Find the third derivative of 860153*x**3 + 3954*x**2 - 2*x + 1 wrt x. 5160918 What is the third derivative of 5*l**5*u + 42*l**5 - 2*l**2*u - l**2 - 9*l*u - 75*l wrt l? 300*l**2*u + 2520*l**2 What is the first derivative of -2120798*f**3 + 748091 wrt f? -6362394*f**2 What is the derivative of -1487760*d - 4046717? -1487760 What is the third derivative of -2951624*l**5 + 13*l**2 + 30937*l + 2 wrt l? -177097440*l**2 What is the third derivative of 3*g**3*n**3 - 4580*g**3*w + 2*g**2*n**3 + 4*g**2*n**2*w + 2*g**2*w - 589*g**2 + 2*n**3 wrt g? 18*n**3 - 27480*w What is the second derivative of 59329*w**3 - 33688*w? 355974*w What is the second derivative of -129070*a**2 - 157088*a? -258140 What is the first derivative of 8*n**2*s + 544939*n**2 + 34331*n*s wrt s? 8*n**2 + 34331*n Find the second derivative of 638*d**4 + d**3 - 16*d**2 - 118176*d. 7656*d**2 + 6*d - 32 What is the second derivative of 2*j**2*x**3 - 3409*j**2*x - 16*j**2 - 26*j*x**3 + j*x + 1412*
{ "pile_set_name": "DM Mathematics" }
= -3*h - 3*m for h. 3 Let w be -1 - (0/2 - 1). Suppose 3*q = -3*j - 15, -4*q - 10 = 2*j - w. Solve 5*l = -10, -3*a + q*l = 3*l + 6 for a. 0 Suppose -2*n = 4*y - 4, 3*y = 2*n + 14 - 53. Suppose 7*d - 3*d = a - 16, 0 = -5*a - 3*d - n. Solve a = -x - x + 10, -3*x = -5*i for i. 3 Suppose 9*q = 14*q - 30. Solve x = z - q, 2*x - 2 = 5*x + 5*z for x. -4 Let u(h) = 0*h**2 - 3*h**2 + 6*h**2 - 1. Let j be u(-1). Solve 3*a = -15, -r + 13 = -4*r - j*a for r. -1 Suppose 0*h - 2*h + 6 = 0. Solve -l + 2*w + 3 = 0, h*l = -3*w + 1 + 8 for l. 3 Suppose 5 = -2*j + 5*v, -2*j + 4 + 0 = 4*v. Suppose j*k = 5*k. Solve 3*w + 2*t - 11 = 8*w, k = -w - 5*t - 13 for w. -3 Let y be 0*1/(0 + 2). Let a(q) = q**3 + q + 6. Let c be a(y). Suppose -3*b + 2 - 8 = w, 4*w + 4*b = 0. Solve 5*p - 1 = -c, w*f = 3*p for f. -1 Suppose 1 + 47 = 12*t. Solve 2*n - f = t + 2, -2*n - f = -10 for n. 4 Let m = 1 - 4. Let l(b) be the second derivative of -b**4/12 - 7*b**3/6 - 2*b**2 - 2*b. Let i be l(m). Solve 4*r = -5*o + 10, i*o - 10 = 3*o for r. 0 Let l(h) = h**3 - h**2 - h + 3. Let a be l(0). Solve -c = 4 + 1, -a*c - 21 = 2*b for b. -3 Suppose 0 = 4*i - 2*i - 6. Suppose -4*x = 4*a + a - 96, 0 = 5*x + a - 141. Suppose -2*b + 19 + x = 0. Solve i*t - 5*r + 17 = 0, -4*t = -0*t + 5*r - b for t. 1 Let z(r) = -2*r**2 - 8*r - 3. Let n be z(-3). Solve -2*d = -0*v - 3*v + 11, -4*d + 23 = n*v for v. 5 Let z(b) = b**3 + b + 4. Let k be z(0). Solve -m = -5*c + 9, -3*c + 5*c = k for m. 1 Let c be (-4 - -3)*(1 - 1). Solve c = 2*z + g + 3, z = 4*g - g - 19 for z. -4 Suppose 6*m - 2*m - 20 = 0. Let f be 2*(30/4)/m. Solve 2 = k + f*x, -6*k - 4 = -4*k + 2*x for k. -4 Let w(l) = l**3 - 15*l**2 - 16*l + 3. Let i be w(16). Solve -3*q = g - 1 - 3, 0 = i*q + 3*g for q. 2 Let p = 2 + 3. Let w(s) = 6*s - 6. Let u be w(p). Solve -2*q = -2*t - 4*q - 14, 4*t + 2*q = -u for t. -5 Let d = -20 - -19. Let t = d + 2. Suppose m = 3*p - 5*p + 3, 0 = 2*m - 4*p - 14. Solve 2*l = m*j + t, -l = -6*l - j - 11 for l. -2 Let i be (-1 + 6)*(-4)/(-5). Let f be 178/16 - (-4)/(-32). Suppose 1 = i*o - f. Solve 0 = w + 3*u + 9 - 21, o*w + 29 = 4*u for w. -3 Let o = 15 - 9. Let k be (-15)/(-12) - o/(-8). Suppose -2*y = -2*q + 2, -13 + 5 = -k*y. Solve q = -5*s - 5*d, -4*s = -5*s + 5*d + 11 for s. 1 Let i be (-1)/2 + (-45)/(-6). Let k be (0 - 18)/(0 - 2). Suppose -2*y + 0*y = -g + i, 0 = 2*g + y - k. Solve g*f + 0*a + 3*a + 7 = 0, 4*a + 11 = -5*f for f. 1 Let t = -53 - -71. Solve -2*i - 8 = 2*w, 4*i + t = 2*w - 4 for i. -5 Let x be (-2)/((-2)/72*3). Let q = x + -24. Solve q = -m - 5, c - m - 4 = -3 for c. -4 Suppose -3*y + 2*j - 22 = y, -5*j = -y - 28. Let q = -3 - y. Let z be (2/(-6))/(4/144*-3). Solve -3*f - 3*b + 9 = q, -5*f + z*b + 3 - 33 = 0 for f. -2 Let g(w) = -4*w**3 + 2*w**2 + 3*w + 1. Let h be g(-1). Solve 0 = -3*m + h*v - 27, -2*v - v = 3*m + 6 for m. -5 Suppose -5*w - 4 = 5*p + 1, 0 = w - p - 9. Solve -5*u + 30 = 4*t, t = w*t - 15 for u. 2 Let d be (-2)/(-8) - (-13)/(-4). Let f(u) = -3*u**2 + u - 1. Let a be f(1). Let q be d - 6/a - -1. Solve 2*m + 1 = -p, 5*m + 2*p + 2 = -q for m. 0 Let s(l) = -l + 2. Let z be s(-5). Let w be z*2/(-7)*3. Let y be (15/w)/1*-2. Solve -5*u = y*h + 25, 0*u = h + 5*u + 17 for h. -2 Let j be 3*1/(-6)*-4. Let v(h) = h**2 - 2*h + 2. Let y be v(2). Solve -y*m + j = 0, 4*d - 9*d - 17 = 3*m for d. -4 Suppose -3*q = -8*q + 15. Solve q*l + 4 = 2*g, 6*g - 4*g + 3*l = -20 for g. -4 Let q = -29 - -32. Solve -q*x = -4*s, -x - 3*x + 10 = -2*s for s. 3 Let u = 110 - 103. Solve 0 = -5*p - 2*b - u, 7*p - 3*p + 3 = b for p. -1 Suppose -12 = -5*b + 4*l, -3*l + 3 = -2*b + 5. Solve -2*m - 21 = -v - 8, b*v - 4 = -4*m for m. -4 Let l(m) = -m**3 + 5*m**2 + 7*m - 3. Let b be l(6). Solve -5*h + 1 = b*r, 4*h - 23 = -0*h + 5*r for h. 2 Let c be 6/(-8) - (-217)/28. Let j = -7 + c. Let l
{ "pile_set_name": "DM Mathematics" }
)*(((-20)/14)/(-1))/(-1)? 24 What is the value of (6/(-14))/(35*57/13965)? -3 Evaluate 5/(-120)*6*-2*(-4)/6. -1/3 Evaluate ((-280)/980)/(1/42). -12 (-13)/39*(-8)/8 1/3 What is the value of 2/2*(-275)/(-495)? 5/9 ((-58)/145)/((-1)/(-5))*-2 4 ((-11)/(-20))/((108/12)/(-36)) -11/5 ((-1)/4)/(3*(-12)/(-288)) -2 Calculate ((-6)/8*3)/(4983/(-604)). 3/11 Calculate (7*1/3)/(262/(-786)). -7 Evaluate (6/(-27))/(62/465). -5/3 ((-312)/(-182))/((2/(-14))/(3/6)) -6 2/3*(-777)/74 -7 What is (9/(-126))/(4/(32/2))? -2/7 (2/(-2))/9*(-12)/(-96)*12 -1/6 What is ((-13225)/138)/115*((-9)/(-80))/3? -1/32 Calculate (-10)/480*-12*16. 4 Evaluate 12/130*115/46. 3/13 (-3)/(-4)*(-22)/(-143)*-2 -3/13 Calculate (((-170)/(-34))/5)/(((-57)/(-2))/(-1)). -2/57 What is the value of ((-168)/(-14))/((-80)/(-220))? 33 Evaluate (-1*56)/(721/(-206)). 16 Evaluate ((-5)/(-35))/((-11)/(-77))*-2. -2 (-5)/25*-12*15/(-2) -18 Calculate (-4)/((-8)/10)*14/(-55)*11. -14 (700/(-56))/((-20)/(-48)) -30 What is (-13)/2574*-11*-2? -1/9 What is the value of (((-14342)/213)/101)/((-1)/(-9))? -6 What is the value of ((11/55)/(-1))/((-18)/10)? 1/9 (-9*(-2)/4)/((-827)/(-1654)) 9 (5/((-30)/(-12)))/((-14)/(-1)) 1/7 What is the value of (3/(-2))/((2592/16)/9)? -1/12 3/1*268/402 2 What is (-6)/(-42)*(-42)/(-1)? 6 Calculate ((45/6)/3)/((-1200)/(-160)). 1/3 What is 5*12/240*1*26*-2? -13 ((-10)/(-3))/(56/(-168)) -10 Calculate 1/((-235)/(-94))*(15/3)/(-1). -2 What is the value of -1*13/(-3)*11352/(-3784)? -13 Evaluate 3/((-18)/(-21))*2/14*4. 2 Evaluate (8/(-2350))/(62/(-155))*5. 2/47 (8*(-72)/4224)/(-3) 1/22 Calculate (-4)/(16/(-18))*3/((-189)/(-6)). 3/7 What is (-84)/(-10)*(-28)/(-280)*-25? -21 What is the value of (-2)/(288/160*(-20)/6)? 1/3 Evaluate (6/(-9))/(-3*21/(-945)). -10 What is ((-5)/(-4))/((-1870)/748)? -1/2 What is 3/(-6)*6*(-770)/(-231)? -10 What is the value of (((-198)/847)/(-3))/((-33)/(-77))? 2/11 Evaluate 1/((-1)/((-9)/3)*1). 3 What is 12/(-132)*21/((-168)/(-40))? -5/11 What is (1544/(-1930))/(28/(-100))? 20/7 Evaluate (4/294)/(-6*7/126). -2/49 What is (-232)/116*-1*44/8? 11 Calculate (5/(-1))/(2/6*24/24). -15 Calculate (15/150)/((-11)/44). -2/5 Calculate -2*3/63*1515/(-202). 5/7 What is the value of (44/(-2))/(((-384)/(-16))/12)? -11 What is 3654/87*(-4)/(-6)*4/14? 8 Evaluate (472/354)/(((-8)/42)/2). -14 What is (4/(-15))/((-360)/800*(-12)/(-54))? 8/3 What is the value of 468/(-507)*130/(-50)? 12/5 Calculate (-6)/10*(-660)/(-1848). -3/14 Evaluate (-9*(-18)/(-4617))/(((-56)/(-21))/(-8)). 2/19 What is the value of (-5)/(-1)*(-146)/(-73)*3/6? 5 What is (15/25)/(-9*(-7)/42)? 2/5 Calculate (-43)/(-86)*15/12. 5/8 What is (9/15)/((-12)/16)? -4/5 What is 5052/(-421)*((-10)/88)/5? 3/11 What is the value of ((-6)/(-2)*1/(-1))/(1356/2260)? -5 What is ((-358)/(-1969))/((-1)/(-55))? 10 What is (-40)/(8800/(-495))*(-4)/(-1)? 9 (-6)/8*(-13)/(3315/(-34)) -1/10 What is ((-594)/(-72))/(4*3/4)? 11/4 Evaluate 402/335*2/(-32)*-10. 3/4 What is (-12)/(540/15)*36? -12 Evaluate ((-2)/(-6))/(532/114). 1/14 Evaluate (36/(-63))/((-3)/1*(-550)/(-1155)). 2/5 Calculate (1372/11662)/(1/136). 16 What is 7*(9/42)/((-198)/(-231))? 7/4 ((-87)/(-1160)*176)/(-6) -11/5 (-5)/8*-8*(-2)/(80/(-6)) 3/4 What is -20*(-4)/((-936)/(-13))? 10/9 What is the value of (((-2150)/(-75))/(-43))/((-4)/114)? 19 Calculate 1432/358*(-3)/((-6)/(-4)). -8 What is the value of 4/(-3)*54/(-1152)*4? 1/4 (3/(-25))/(49/(-140)*(-46)/(-161)) 6/5 What is 90/(-162)*-9*1? 5 ((-15)/(-20))/((-57)/380) -5 Calculate ((-12)/14)/(((-504)/(-16))/(-21)*-2). -2/7 14/6*(-240)/1120*(-12)/(-5) -6/5 Calculate ((-8)/36)/(21/252). -8/3 What is (2080/(-160))/((-1)/(-1))? -13 Evaluate (405/(-180))/(2*(-9)/(-6)). -3/4 What is ((-2)/104)/((-78)/1014)? 1/4 Evaluate (46/161)/((-8)/126). -9/2 Calculate (-144)/336*(630/20)/(-9). 3/2 What is the value of 324/(-135)*25/120*-3? 3/2 What is (24/1080*-9)/(4/65)? -13/4 What is (-8)/14*84/(-264)? 2/11 Evaluate (11/(2376/2754))/(6/8). 17 Evaluate (-130)/25*(-25)/(-10). -13 What is the value of ((8/(-3))/(15/(60/(-8))))/(-2)? -2/3 Calculate 2/2*-1*18/(-2). 9 18*6/(-90)*(-360)/27 16 Calculate (-60)/(-16)*((-6)/(-50))/((-2208)/920). -3/16 What is the value of ((-7)/14*(-14)/56)/((-2)/28)? -7/4 (135/(-36))/((-50)/240) 18 Evaluate -1*4/((-416)/39). 3/8 Calculate (103/(7416/96))/((-2)/(-21)). 14 Evaluate ((-5)/(195/(-52)))/(2/(-8))*3. -16 What is the value of 2*(-4)/32*96/(-54)? 4/9 (-14)/(-14)*(-7)/3 -7/3 What is ((-1936)/(-48400))/(((63/(-30))/7)/1)? -2/15 Evaluate (-84)/(-28)*8/(-192). -1/8 What is the value of 3/(((-1776)/(-528))/37)? 33 What is (12/45)/(15/25)*(-207)/(-2484
{ "pile_set_name": "DM Mathematics" }
- 884*l**2*p**2 - 75*l*p**5 wrt p. -6*l**3 - 4500*l*p**2 Find the third derivative of 8215*l**3 - 7185*l**2 wrt l. 49290 Find the second derivative of 2*c**2*j**2 + 278*c**2*j*s**2 - 10*c*j**2*s - 2*c - 3*j**2*s**2 wrt c. 4*j**2 + 556*j*s**2 What is the derivative of -3*x**3 + 406*x**2 + 4739? -9*x**2 + 812*x Find the first derivative of -m**4*o**2 + 494*m*o**2 + 2*o**2 + 5341*o wrt m. -4*m**3*o**2 + 494*o**2 Differentiate 2*m**3 + 31*m**2*n + 11*m - 1293*n wrt m. 6*m**2 + 62*m*n + 11 Find the third derivative of 3*l**2*y**4 - 229*l**2*y - 168*l*y**3 + 2*l*y + y**2 wrt y. 72*l**2*y - 1008*l What is the second derivative of 3*a*i**4*x - 2*a*i**2 - 2*a*i - 42*i**4*x + 3*i - 26*x wrt i? 36*a*i**2*x - 4*a - 504*i**2*x Find the third derivative of -394*v**4 + 576*v**2 wrt v. -9456*v What is the third derivative of 37*n**5 - 2*n**3 + 137*n**2 wrt n? 2220*n**2 - 12 What is the second derivative of 5*v**5 + 5*v**2 + 47*v wrt v? 100*v**3 + 10 What is the third derivative of -1180*z**3 - 2*z**2 + 17 wrt z? -7080 Differentiate -10*g**3*k + 154*g**2*k + 3711*k with respect to g. -30*g**2*k + 308*g*k What is the third derivative of -2575*f**4*p + 3*f**4 - f**3 - 28*f**2 - 3*f*p - 2*f + 2 wrt f? -61800*f*p + 72*f - 6 What is the second derivative of -3222*z**2 + z + 1177? -6444 Differentiate 2*g*h**4 - 4*g - 341*h - 67 wrt h. 8*g*h**3 - 341 Find the second derivative of -118*g*h**2*p - 6*g*h**2 + 2*g*h*p - 9*g*h + 4*g*p - 3 wrt h. -236*g*p - 12*g What is the derivative of -32*k**2*v**2 - 3*k**2*v - 8*k*v**2 - 1253*v**2 wrt k? -64*k*v**2 - 6*k*v - 8*v**2 What is the first derivative of 324*i**2 - 64? 648*i What is the second derivative of 14442*s**5 + 14748*s? 288840*s**3 What is the third derivative of -20*a**2*j**3*o + 25*a**2*j*o**2 + a*j**2*o**2 - a*j**2*o - 8*j**3*o**2 wrt j? -120*a**2*o - 48*o**2 Find the third derivative of 450*s**5 - 2*s**4 - 2142*s**2 wrt s. 27000*s**2 - 48*s What is the first derivative of 28*w**4 + 3*w - 1605 wrt w? 112*w**3 + 3 What is the third derivative of 2*m**2*z**4 - 6*m**2*z**3 + 9*m**2*z + 5*m - 2*z**2 wrt z? 48*m**2*z - 36*m**2 Differentiate 1010*d*h**3 - 1444*h**3 wrt d. 1010*h**3 Find the third derivative of f**3*h*v - 49*f**3*v**3 + 2*f**3 - 2*f**2*v**3 + h*v - 19 wrt f. 6*h*v - 294*v**3 + 12 What is the second derivative of 21681*u**2 - 11188*u? 43362 What is the derivative of 2*l**2 - 901*l + 16332 wrt l? 4*l - 901 What is the second derivative of -1767*t**2 - 5032*t wrt t? -3534 Find the first derivative of -141*w + 391. -141 What is the third derivative of 3*a**4 + 204*a**3 - 6*a**2 - a - 98 wrt a? 72*a + 1224 Differentiate 3*w*z - 16*w + 18*z with respect to z. 3*w + 18 Find the second derivative of 143*d**2*h**2 + 29*d**2 - h**2 + 20*h wrt h. 286*d**2 - 2 Find the first derivative of 54*x*y**2 - 6503*x - 52*y**3 wrt y. 108*x*y - 156*y**2 Find the second derivative of -167*u**3*w**2 + 2*u**3 + 2*u*w - 8*w**2 + 28*w - 1 wrt w. -334*u**3 - 16 Differentiate 2470*k**3*t**2 + 2*t**2 + 49 wrt k. 7410*k**2*t**2 What is the derivative of -4*i*p**3*x - 7*i*p**3 + 2*i*p**2*w + 6*i*p*x + 2*i*w - p*w*x wrt x? -4*i*p**3 + 6*i*p - p*w Differentiate 28*h**2 + 8*h*q**2 - 1863*q**2 wrt h. 56*h + 8*q**2 Differentiate -2*d*m + 318*d*q**2 + d*q - 3*m**3 + 193*m*q**2 wrt m. -2*d - 9*m**2 + 193*q**2 Differentiate -d**3*t*x**2 + 33*d**3*t*x + 2*d**3*t - 14*d*t + 12*t - 4*x**2 with respect to x. -2*d**3*t*x + 33*d**3*t - 8*x What is the third derivative of -2937*g**3*v**3 + 3*g**3*v**2 + 11*g**2*v**2 + 2*v**2 wrt v? -17622*g**3 Find the first derivative of 5449*y**2 + 884. 10898*y What is the second derivative of -667*r**2 - r + 139 wrt r? -1334 Find the second derivative of 2*c**3*k**2*q - 7*c**3*q**2 - 2*c**2*k**3 + c*k**3*q + 17*k**3*q**2 - 10*k**2 wrt q. -14*c**3 + 34*k**3 Differentiate -i**3*k - 99*i**3 + i**2*k - k**3 with respect to k. -i**3 + i**2 - 3*k**2 What is the third derivative of 16*a**2*l**3 + a**2*l**2 - 7*a**2*l - 7*a*l**3 + 3*a*l**2 wrt l? 96*a**2 - 42*a Find the second derivative of -75*m**3 - 3*m**2 + 714*m wrt m. -450*m - 6 What is the second derivative of -6335*t**2 + 5801*t? -12670 Find the second derivative of -g*h**2*
{ "pile_set_name": "DM Mathematics" }
be 38/c - (-10)/35. Find j such that 8*j**4 - 12*j**3 - 27*j**2 + 4*j**4 + 6 + 9*j**5 + m*j + 9*j**2 = 0. -1, 2/3, 1 Suppose -3*n - p = -20, 10 = n - 3*n + 4*p. Suppose -x - n*d = 9, 0*d + 3 = -x - 2*d. Solve -1/2*k**3 + x + 2*k**2 - 5/2*k = 0. 1, 2 Let t = 5 - 9. Let f(n) = 6*n**2 - 6*n. Let h(w) = -13*w**2 + 12*w + 1 + 0*w + 0*w. Let i(j) = t*h(j) - 9*f(j). Find s such that i(s) = 0. 1, 2 Let m be (-144)/(-60) + (-8)/20. Factor 0*y - 2/5*y**m + 2/5. -2*(y - 1)*(y + 1)/5 Let a be (9/6)/(18/24). Let -2/7 - 2/7*r**a + 4/7*r = 0. What is r? 1 Let a be -1 + (150/(-18))/(-5). Suppose -1/3*r**2 - 1/3*r + a = 0. What is r? -2, 1 Let r(z) be the third derivative of -1/60*z**5 + 1/210*z**7 + 1/120*z**6 + 3*z**2 + 0*z + 0*z**3 - 1/24*z**4 + 0. Determine x so that r(x) = 0. -1, 0, 1 Let 3*t**5 + 3/2*t**2 - 3/2*t**4 - 9/2*t**3 + 3/2*t + 0 = 0. Calculate t. -1, -1/2, 0, 1 Let g(s) = 5*s**3 - 2*s**2 + s + 8. Let m(r) = -6*r**3 + 3*r**2 - 2*r - 9. Let h be 3/(-6)*(12 - 0). Let u(d) = h*m(d) - 7*g(d). Solve u(l) = 0. 1, 2 Let z(j) = 9*j**2 - 5*j - 11. Let h(l) = -5*l**2 + 3*l + 6. Let y = -2 - 2. Let w(r) = y*z(r) - 7*h(r). Suppose w(v) = 0. What is v? -2, 1 Let v(q) = 4*q**4 - 13*q**3 - 12*q**2 + 32*q - 21. Let d(y) = -2*y**4 + 7*y**3 + 6*y**2 - 16*y + 11. Let o(z) = 10*d(z) + 6*v(z). Factor o(m). 4*(m - 2)*(m - 1)**2*(m + 2) Let a(g) be the first derivative of 1/15*g**3 + 4/5*g + 2 - 2/5*g**2. Find x, given that a(x) = 0. 2 Let t be 24/(-20)*10/(-4). Suppose n + 5*u = 91, 0*n - 3*u - 183 = -t*n. Let -4*p**5 + 37*p**4 + 2*p**5 + 44*p**2 + n*p**3 + 8*p + 9*p**5 = 0. Calculate p. -2, -1, -2/7, 0 Let n be (-2)/5 + 110/25. Suppose 3*v + q - 2*q - 8 = 0, 0 = -4*v - n*q. Suppose 4/5*j**3 - 2/5 + 0*j + 6/5*j**v = 0. What is j? -1, 1/2 Let b(w) be the first derivative of 3*w**4/16 - w**3/2 + 10. Factor b(l). 3*l**2*(l - 2)/4 Let -4*i**4 + 6*i**3 + 4*i**2 + 0*i**4 + 4 - 6*i**5 - 4 = 0. What is i? -1, -2/3, 0, 1 Factor 0*m - 3/2*m**2 + 0 - 3/8*m**5 - 3*m**3 - 15/8*m**4. -3*m**2*(m + 1)*(m + 2)**2/8 Suppose -1/2*x**4 + 56*x - 30*x**2 - 32 + 13/2*x**3 = 0. What is x? 1, 4 Let z(f) be the first derivative of 0*f**3 - 6/5*f - 3/20*f**4 + 9/10*f**2 + 4. Factor z(r). -3*(r - 1)**2*(r + 2)/5 Let a(l) = 3 - l**3 - 8*l - 9*l**2 + 0 + 1. Let s be a(-8). What is y in 4*y**2 - 2*y**5 + 2*y - 5*y**4 + 2*y**4 - 2*y**4 + y**s = 0? -1, 0, 1 Factor 2/5*j**5 + 0 + 0*j**2 + 0*j - 4/5*j**4 + 0*j**3. 2*j**4*(j - 2)/5 Suppose 3/2*j + 1 + 1/2*j**2 = 0. What is j? -2, -1 Factor 76/3*c**3 - 16/3 + 64/3*c - 28/3*c**4 - 100/3*c**2 + 4/3*c**5. 4*(c - 2)**2*(c - 1)**3/3 Let x(r) be the third derivative of r**5/180 + r**2. Factor x(y). y**2/3 Let b(l) = 3*l - 5. Let u be b(4). Let f = u + -4. Find g, given that 5*g**2 - 1 - 2*g + g - f*g**2 = 0. -1/2, 1 Let k(s) be the third derivative of s**8/10080 + s**7/315 + 2*s**6/45 - s**5/10 - 7*s**2. Let f(h) be the third derivative of k(h). Factor f(g). 2*(g + 4)**2 Factor -99*k**3 + 45*k**3 + 30*k**3 - 40*k**2 - 5*k**4 + 49*k**3 + 20*k. -5*k*(k - 2)**2*(k - 1) Suppose 4*q + q = 5*w, 5*w - 4 = 3*q. Let u be (-17)/51 - (-2)/q. Factor -u*k**2 - 2/3*k**3 + 2/3*k + 2/3*k**4 + 0. 2*k*(k - 1)**2*(k + 1)/3 Let w be 2 - ((4 - 2) + 6/(-10)). Let -4/5 - 4/5*q + w*q**2 + 1/5*q**4 + 4/5*q**3 = 0. Calculate q. -2, -1, 1 Let n(b) be the second derivative of 2*b + 1/126*b**7 - 1/18*b**3 + 1/18*b**4 + 0*b**2 - 1/45*b**6 + 0*b**5 + 0. Solve n(x) = 0 for x. -1, 0, 1 Let n(t) be the first derivative of 2/3*t**3 + 0*t + 3 - 1/8*t**4 - t**2. Factor n(v). -v*(v - 2)**2/2 Factor -5 + 3 + 4*r**2 - 2. 4*(r - 1)*(r + 1) Let p(a) = -a**3 - 19*a**2 - 99*a - 85. Let d(j) = -1. Let v(k) = -12*d(k) + 3
{ "pile_set_name": "DM Mathematics" }
lacement from {t: 3, n: 2, u: 1, x: 2, g: 4, m: 2}? 1/364 What is prob of sequence zoz when three letters picked without replacement from oziozbz? 2/35 Four letters picked without replacement from {n: 2, g: 16}. What is prob of sequence ggng? 14/153 What is prob of sequence qy when two letters picked without replacement from {m: 2, l: 3, y: 1, x: 9, q: 3}? 1/102 Three letters picked without replacement from arwwrrrgrrgrrwrr. What is prob of sequence arw? 1/112 What is prob of sequence gvn when three letters picked without replacement from {v: 4, h: 4, n: 3, i: 2, g: 1}? 1/182 Two letters picked without replacement from uuuuukkkkktkkkkkkktk. Give prob of sequence kt. 13/190 Calculate prob of sequence gggg when four letters picked without replacement from lggglgllgl. 1/42 Three letters picked without replacement from vgvvvvgvvvggvvggjv. Give prob of sequence vvg. 55/408 Two letters picked without replacement from {b: 3, q: 2, d: 8, f: 4}. Give prob of sequence qb. 3/136 Calculate prob of sequence ybyb when four letters picked without replacement from {b: 3, y: 4}. 3/35 What is prob of sequence vw when two letters picked without replacement from {v: 8, w: 2}? 8/45 Three letters picked without replacement from zztztztzzzztt. Give prob of sequence tzt. 40/429 What is prob of sequence dcm when three letters picked without replacement from {m: 2, c: 9, g: 5, d: 3}? 3/323 Two letters picked without replacement from {r: 2, f: 17}. Give prob of sequence fr. 17/171 Two letters picked without replacement from gggddggddddgg. What is prob of sequence dd? 5/26 Two letters picked without replacement from {r: 3, y: 1, d: 4, e: 2, z: 6}. Give prob of sequence rz. 3/40 Four letters picked without replacement from eeeecctgcegcccceee. What is prob of sequence geeg? 7/4590 Four letters picked without replacement from {y: 1, o: 5, e: 4}. Give prob of sequence eeye. 1/210 Calculate prob of sequence hph when three letters picked without replacement from {h: 2, e: 1, s: 1, p: 1, z: 4}. 1/252 Three letters picked without replacement from oooooovoov. What is prob of sequence ovv? 1/45 Two letters picked without replacement from {c: 16, u: 1, j: 3}. What is prob of sequence jj? 3/190 Calculate prob of sequence ww when two letters picked without replacement from wwwwwww. 1 Calculate prob of sequence nym when three letters picked without replacement from {y: 6, n: 5, m: 2}. 5/143 Four letters picked without replacement from cccxcxxxcddc. Give prob of sequence dxdx. 1/495 What is prob of sequence nrnr when four letters picked without replacement from {r: 10, n: 2, i: 6, l: 2}? 1/646 Three letters picked without replacement from gppkmkkpmp. What is prob of sequence mmp? 1/90 Calculate prob of sequence mt when two letters picked without replacement from {d: 1, p: 5, m: 6, t: 7}. 7/57 What is prob of sequence dd when two letters picked without replacement from dddd? 1 What is prob of sequence ku when two letters picked without replacement from cwwkkwkdcudducudw? 9/272 Four letters picked without replacement from {u: 4, b: 4, k: 9}. Give prob of sequence kbub. 9/1190 What is prob of sequence iy when two letters picked without replacement from nynisyinn? 1/18 Calculate prob of sequence ttl when three letters picked without replacement from {b: 1, x: 1, j: 2, l: 1, y: 1, t: 2}. 1/168 Calculate prob of sequence an when two letters picked without replacement from vdgan. 1/20 Four letters picked without replacement from qeeeeeqeeqeqee. What is prob of sequence qeqq? 10/1001 Calculate prob of sequence aas when three letters picked without replacement from apbffsaafbsaafsa. 3/112 What is prob of sequence ll when two letters picked without replacement from sklllss? 1/7 What is prob of sequence iiii when four letters picked without replacement from {i: 10}? 1 Two letters picked without replacement from {m: 9, f: 3, y: 6, j: 1}. Give prob of sequence fm. 3/38 Calculate prob of sequence kkkk when four letters picked without replacement from kiiiwkiwkiwwiikwi. 1/2380 Four letters picked without replacement from gggggjjg. What is prob of sequence gjgg? 1/7 Three letters picked without replacement from {y: 3, g: 4, r: 1, c: 4, x: 6, n: 1}. What is prob of sequence yyy? 1/969 What is prob of sequence ff when two letters picked without replacement from iffiiff? 2/7 Two letters picked without replacement from {o: 5, v: 1, s: 5, j: 5}. What is prob of sequence jo? 5/48 Calculate prob of sequence saas when four letters picked without replacement from saaaaasasa. 1/20 What is prob of sequence dqd when three letters picked without replacement from ddmdmsqnmdds? 1/66 Calculate prob of sequence mkk when three letters picked without replacement from {c: 1, m: 2, f: 1, i: 2, k: 1}. 0 What is prob of sequence ppp when three letters picked without replacement from {y: 5, p: 13, j: 2}? 143/570 What is prob of sequence yj when two letters picked without replacement from vjvgyaz? 1/42 Two letters picked without replacement from {c: 9, k: 3, a: 1, p: 2, x: 1, d: 3}. Give prob of sequence cc. 4/19 Three letters picked without replacement from xyxfxfyfyfxxfxxx. What is prob of sequence xyy? 1/70 Three letters picked without replacement from {o: 3, u: 1, v: 4}. What is prob of sequence vvu? 1/28 Three letters picked without replacement from aaa. What is prob of sequence aaa? 1 Calculate prob of sequence ooo when three letters picked without replacement from {o: 7, f: 2}. 5/12 Two letters picked without replacement from ddfdfklqdpddfpdfffdd. Give prob of sequence pk. 1/190 Calculate prob of sequence yhc when three letters picked without replacement from dddcdhzyzhduh. 1/572 Three letters picked without replacement from yfccfffyfffffffcyf. What is prob of sequence cyf? 3/136 Calculate prob of sequence osmd when four letters picked without replacement from {o: 3, s: 3, n: 1, m: 1, i: 2, d: 1}. 1/880 Calculate prob of sequence vg when two letters picked without replacement from {l: 1, u: 1, h: 2, g: 1, z: 1, v: 9}. 3/70 Four letters picked without replacement from peppppppj. What is prob of sequence pppe? 5/72 What is prob of sequence sx when two letters picked without replacement from xsxqqxxxs? 5/36 What is prob of sequence cco when three letters picked without replacement from owwoowwcwowoocooww? 1/306 What is prob of sequence cwn when three letters picked without replacement from cncwnccn? 1/28 Calculate prob of sequence hyy when three letters picked without replacement from yhyyd. 1/10 Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjjjjjjejjj. 7/9 Four letters picked without replacement from uqskquslqqs. Give prob of sequence kqls. 1/660 Four letters picked without replacement from lbzzzzzbzzzlbbcbtc. What is prob of sequence bblb? 1/612 Four letters picked without replacement from qmrrrqsuqsmsqmesq. Give prob of sequence qqqs. 1/238 What is prob of sequence bqsb when four letters picked without replacement from {d:
{ "pile_set_name": "DM Mathematics" }
2*h for h. 0 Solve 2*n - 5 = -72*u + 75*u, 2*u + n + 8 = 0 for u. -3 Solve 0 = 5*v + 5*g - 145, -4*v + 150 = -3*g + 216 for v. 3 Solve 79*r + 346*z = 349*z + 559, -4*z = 3*r - 13 for r. 7 Solve x + 3*j + 11 = 0, -2*j = -5*x - 433 + 463 for x. 4 Solve -3*j + 4*c = -32, 98*c - 95*c + 7 = -2*j for j. 4 Solve 4 = 4*k + 1948*n - 1949*n, 2*k = -n + 8 for k. 2 Solve -12 = t + q, 5*t = -91*q + 97*q - 5 for t. -7 Solve 5*v + 14 = 3*z, 104*z - 101*z - v - 10 = 0 for z. 3 Solve -82*m = p - 75*m + 24, -2*p = 4*m + 28 for p. -10 Solve i - 4*t - 12 = 0, -19*i + 17*i - 2*t - 26 = 0 for i. -8 Solve u = 5*y + 31, 6*u = 5*u - y + 1 for u. 6 Solve 28 = 2*l, -3*l = -2*a - 9*l + 35 + 53 for a. 2 Solve 2*n = 6, -644*s + 669*s + 3*n = 134 for s. 5 Solve -2*d - 693*b = -689*b - 4, -b = -7*d - 16 for d. -2 Solve -w - 4*l + l = -9*w + 52, 2*l - 8 = 0 for w. 8 Solve 0 = 4*d + 2*y + 41 - 15, -4*y - 20 = 0 for d. -4 Solve -3*l + 36*f - 34*f - 18 = 0, 0 = 2*l - 5*f + 23 for l. -4 Solve 23*f - 16 = o + 25*f, -1 = 9*o - 5*o - f for o. -2 Solve 3*r = m + 16, 5*r + 12 - 32 = -5*m for m. -1 Solve 5*n = -3*s + 43, -32 = -4*n - 23515*s + 23513*s for n. 5 Solve 4*g + 3*t + 38 = 21, 0 = 3*g + 2*t + 13 for g. -5 Solve l + 5*r - 5 = -3, -6*r - 20 = -2*l for l. 7 Solve -4*x + 7087*c = 7088*c - 4, x + 3*c - 1 = 0 for x. 1 Solve -1433*o + 1428*o + 4*u + 5 = 0, 2*o = 4*u + 14 for o. -3 Solve -12*t + i = 16, 25*i - 7 = -t + 23*i for t. -1 Solve -j + 2 + 8 = 12, -j = 5*x - 23 for x. 5 Solve -72*p - 21 = -i - 67*p, 12 = -3*p for i. 1 Solve 4*d - 4 = -2*f, 8*d - 2437*f + 2434*f - 36 = 0 for d. 3 Solve 17 = -2*r + 3*j, 4*j + 19 = -2*r + 37 for r. -1 Solve -2*z + 3*t = 20, 812*t - 44 = 4*z + 808*t for z. -13 Solve -16 = l - 4*x, -4535*x - 7 = -3*l - 4534*x for l. 4 Solve -4*g = -16, 4*b - g + 9 = 1 for b. -1 Solve 57*l + 1 = b + 56*l, -5*b + 19 = 2*l for b. 3 Solve h - 152*g + 154*g - 4 = 0, 0 = h + g - 4 for h. 4 Solve -5*q - 5*v + 5 = 0, 40 = 4*q - 5*v + 45 for q. 0 Solve -49 = -18*p + 3*t - 64, 4*p + 9 = -5*t for p. -1 Solve -18*v + 5*m + 51 = -10*v, 0 = 3*v - m - 3 - 17 for v. 7 Solve -4*l = 3*i, 9728*i + 5*l + 31 = 9732*i for i. 4 Solve -2*o = -p + 9, 8 = o + 83*p - 81*p for o. -2 Solve -4*t - 1890*p = -1887*p - 33, 5*p = t - 37 for t. 12 Solve 1120*f = t + 1117*f + 3, -t - 4*f + 4 = 0 for t. 0 Solve -2*w = -3*f + 9, 425*w = 430*w + 2*f - 25 for w. 3 Solve -4 = d, 223*x - 13*d = 226*x + 67 for x. -5 Solve 181*q - 186*q + 27 = -s, 0 = s - 3*q + 17 for s. -2 Solve -1247*q = -1249*q, 12 = 4*o - 3*q for o. 3 Solve -2*n = -k - 14, -5*n + 43 - 8 = -k for k. 0 Solve -3*x - 21 = -4*h, -3*h - 3 = -206*x + 210*x for x. -3 Solve -5*y + 17 = -4*v, -16 = -9*y + 7*y - 3*v for y. 5 Solve -s = -3*p - 11, 37*p - 32*s + 352 = 39*p for p. 0 Solve -3*x - 58665*a + 58664*a = -4, 4*x + 4*a = -24 for x. 5 Solve -4*b - 24 = s, 144*s + 29 = 143*s - 5*b for s. -4 Solve 5*r - 2*a + 15 = 0, 8 = -3*r - 1144*a + 1145*a for r. -1 Solve 2759*h = -5*g + 2763*h - 7, 0 = h + 2 for g. -3 Solve -7*y - 79 = -3*q - 56, -4*q + 4 = 4*y for y. -2 Solve 13*g - 2*f + 32 = 15*g, -4*g + 2*f + 34 = 0 for g. 11 Solve 3*q = -4*t - 152 + 188, -3*q = 5*t - 48 for q. -4 Solve -140*s + 145*s = 5*h + 90, s + h = -28 for s. -5 Solve -2103*m - 2099*m + 4203*m - 40 = -5*k, 0 = 4*k - 4*m - 56 for k. 9 Solve 5*f + 4 = 4*a, -39*f + 80*f - 73*a = 42*f + 296 for f. -4 Solve -3*k - m = -4, 6*m - 38 + 14 = 4*k for k. 0 Solve -2*s + 21 = -3*o, -2 - 25 = -3*s for o. -1 Solve -4*d + 31 = 3*u, -4*u = -26*d + 31*d - 39 for u. 1 Solve -20*y + 5*k - 35 = -16*y, -9*y + 5*k = 35 for y. 0 Solve -4*s + 4 = 0, 2*s - 32 = 5*h - 20*s for h. -2 Solve 22*b - 18*b = 20, 2*y - 20 = -4*b for y. 0 Solve 4*v + 13*u = 50, -v - 4*u = -36
{ "pile_set_name": "DM Mathematics" }
1393228, 2786463, 4179696, 5572927, 6966156, 8359383, 9752608? -h**2 + 1393238*h - 9 What is the o'th term of -709215, -709218, -709221? -3*o - 709212 What is the z'th term of -763561, -1527128, -2290695, -3054262, -3817829, -4581396? -763567*z + 6 What is the q'th term of -24720, -24721, -24722, -24723, -24724, -24725? -q - 24719 What is the z'th term of -357322, -357320, -357318, -357316, -357314, -357312? 2*z - 357324 What is the h'th term of 18618, 37243, 55872, 74505, 93142, 111783? 2*h**2 + 18619*h - 3 What is the w'th term of -17, 16, 107, 280, 559, 968, 1531? 4*w**3 + 5*w**2 - 10*w - 16 What is the f'th term of 104548, 209098, 313648? 104550*f - 2 What is the k'th term of 757, 759, 761, 763? 2*k + 755 What is the l'th term of 378, 690, 888, 912, 702, 198? -10*l**3 + 3*l**2 + 373*l + 12 What is the r'th term of 395151, 395159, 395167, 395175? 8*r + 395143 What is the m'th term of 140, 33, -144, -391? -35*m**2 - 2*m + 177 What is the o'th term of 614, 4875, 16442, 38969, 76110, 131519, 208850? 609*o**3 - o**2 + o + 5 What is the a'th term of 22310475, 22310474, 22310473, 22310472, 22310471? -a + 22310476 What is the m'th term of 78, 97, 144, 231, 370, 573? 2*m**3 + 2*m**2 - m + 75 What is the o'th term of 4991, 5142, 5293, 5444, 5595, 5746? 151*o + 4840 What is the o'th term of 138, 562, 1268, 2256, 3526, 5078? 141*o**2 + o - 4 What is the l'th term of 59426, 59424, 59422, 59420? -2*l + 59428 What is the f'th term of 588846, 1177694, 1766542, 2355390, 2944238? 588848*f - 2 What is the n'th term of -4426, -8807, -13194, -17587, -21986, -26391? -3*n**2 - 4372*n - 51 What is the h'th term of 1108, 2311, 3608, 4999, 6484, 8063, 9736? 47*h**2 + 1062*h - 1 What is the j'th term of 13492, 13250, 12996, 12724, 12428, 12102, 11740? -j**3 - 235*j + 13728 What is the t'th term of -1755, -3389, -5023? -1634*t - 121 What is the k'th term of 117606, 117616, 117638, 117678, 117742? k**3 + 3*k + 117602 What is the t'th term of -1155, -1139, -1131, -1131? -4*t**2 + 28*t - 1179 What is the d'th term of -24, -91, -204, -387, -664? -4*d**3 + d**2 - 42*d + 21 What is the l'th term of -3003, -5982, -8947, -11892, -14811? l**3 + l**2 - 2989*l - 16 What is the n'th term of -310441, -310444, -310447, -310450? -3*n - 310438 What is the p'th term of 25922, 25920, 25918, 25916, 25914, 25912? -2*p + 25924 What is the p'th term of -11900, -23824, -35766, -47732, -59728, -71760, -83834, -95956? -p**3 - 3*p**2 - 11908*p + 12 What is the z'th term of 269775, 539547, 809319? 269772*z + 3 What is the z'th term of -208, -425, -626, -805, -956? z**3 + 2*z**2 - 230*z + 19 What is the l'th term of -547992, -547988, -547984, -547980, -547976? 4*l - 547996 What is the r'th term of 3689, 7313, 10937, 14561? 3624*r + 65 What is the f'th term of -293389, -586780, -880171, -1173562, -1466953? -293391*f + 2 What is the t'th term of 40047, 80276, 120503, 160728, 200951? -t**2 + 40232*t - 184 What is the l'th term of 385, 570, 755, 940? 185*l + 200 What is the k'th term of 169969, 169970, 169971, 169972, 169973, 169974? k + 169968 What is the p'th term of -3284, -3293, -3314, -3353, -3416, -3509, -3638? -p**3 - 2*p - 3281 What is the s'th term of 21589, 43162, 64717, 86248, 107749? -s**3 - 3*s**2 + 21589*s + 4 What is the j'th term of 1595, 3235, 4871, 6503, 8131, 9755, 11375? -2*j**2 + 1646*j - 49 What is the t'th term of 7203, 14401, 21573, 28707, 35791, 42813, 49761, 56623? -2*t**3 - t**2 + 7215*t - 9 What is the w'th term of -112818, -225636, -338454? -112818*w What is the z'th term of -10376, -20754, -31132? -10378*z + 2 What is the d'th term of -1505, -2856, -4207? -1351*d - 154 What is the x'th term of -3819, -7635, -11413, -15135, -18783, -22339? 3*x**3 + x**2 - 3840*x + 17 What is the s'th term of 24330, 48477, 72602, 96693, 120738? -2*s**3 + s**2 + 24158*s + 173 What is the h'th term of -1197178, -2394344, -3591496, -4788628, -5985734, -7182808? h**3 + h**2 - 1197176*h - 4 What is the t'th term of -54, -272, -640, -1164, -1850, -2704? -t**3 - 69*t**2 - 4*t + 20 What is the s'th term of -3922, -3919, -3916, -3913? 3*s - 3925 What is the y'th term of 24, 99, 248, 495, 864, 1379, 2064? 4*y**3 + 13*y**2 + 8*y - 1 What is the v'th term of -48, -12, 52, 150, 288? v**3 + 8*v**2 + 5*v - 62 What is the d'th term of 27, 88, 193, 342? 22*d**2 - 5*d + 10 What is the
{ "pile_set_name": "DM Mathematics" }
. Let d = -0.02 + i. Which is the second smallest value? (a) d (b) 0 (c) -1 b Let r = 0.19 + -0.29. What is the smallest value in 5, -5, r? -5 Let s = -0.05 - 0.35. What is the smallest value in s, 0.1, 1/4? s Let t = -8.6 - -11.6. Let u = 3 + -8. What is the biggest value in u, t, 1? t Suppose 4*j - 13 = 3. Let z be j/(-3)*3*1. Which is the third smallest value? (a) 3 (b) -0.4 (c) z a Let v be 3/(2 - 3) - -6. Suppose -v*l - 8 = -l. Let z be 1/(-4) - 19/4. What is the second biggest value in z, 0, l? l Let f be 38/10 - (6 + -3). Let a = 5 + -4. What is the second smallest value in f, 0.3, a? f Let o be 2/90 - 4/18. Let a be (-3)/(-12) + 30/72. What is the smallest value in 1/7, a, o? o Let v be 6/7 + -1 + (-51)/1309. What is the fourth smallest value in -4/5, 0.1, 2/7, v? 2/7 Let f = -0.38 + -25.62. Let r = -25.6 - f. What is the second biggest value in -4, 1, r? r Let c be 2/8 - (-58)/(-168). Let w = -0.03 + 4.03. What is the second smallest value in w, c, -4? c Let y be 1 + -1 + -2 - 7. Let x be 5/(-18) + 2/y. What is the smallest value in x, -5, -2? -5 Let g = 0.18 + -0.2. Let u = g - 0.08. Which is the third biggest value? (a) u (b) 1/2 (c) -5 c Let t = -13/6 + 11/6. Let i = -232/3 + 78. What is the smallest value in t, 2/7, i? t Let k = 16 + -15.5. Which is the third biggest value? (a) 15 (b) k (c) -1 c Let i be (140/(-45) + 3)*3. Which is the biggest value? (a) 12/5 (b) i (c) -3/2 a Let x = 19.1 + -17.08. Let l = x + -0.02. Let y(k) = k. Let a be y(4). What is the smallest value in -4, l, a? -4 Let n be (1 + 39/(-12))*4. Let t = 33 - 33.2. What is the biggest value in n, t, -3? t Let p = -2 + 1. Let s(g) = -4*g**2 - 2*g - 1. Let j be s(p). Let o be j/4 - (1 - 2). Which is the third biggest value? (a) -0.1 (b) o (c) 1 a Let s be (-1)/5*((-260)/16)/(-13). What is the second smallest value in 0.1, s, 2/7, 0.2? 0.1 Let r = 0.7 - 5.7. Let t = -4 - 0. Let a = -0.46 - 0.04. What is the third biggest value in a, t, r? r Suppose -35*t + 2 = -33*t. Let x = 5 - 1. What is the smallest value in 1/6, x, t? 1/6 Suppose 0 = -2*x - 0*x + 3*r - 14, 5*x + 9 = r. Which is the second biggest value? (a) -3/5 (b) x (c) -2 b Let y(f) = 2*f + 14. Let k be y(-7). What is the second biggest value in 2, -4, 4, k? 2 Suppose -4*o = -2*y + 14, y + 5*o - 5 = -y. Let s = y - 21/4. Which is the third biggest value? (a) 2/11 (b) 1 (c) s c Let s = 0 - -0.5. Let u = -11 - -7. Let h = -3 - u. Which is the biggest value? (a) -5 (b) s (c) h c Let l = -0.47 + -0.53. What is the third biggest value in 12/13, -3, l? -3 Let m = 5 - 14. Let y = -10 - m. Which is the third smallest value? (a) -2/17 (b) 2/7 (c) y b Suppose 8 = 3*w + y, 4 = -4*w - 3*y + 13. Let k = 24 + -17. Let t be (2/(-7))/((-3)/k). What is the third biggest value in 1/7, t, w? 1/7 Let v = -10 + 12. Let s = -0.1 + 0.3. What is the second biggest value in v, -0.4, s? s Let r = 1.6 + 10.4. Let y = 12.2 - r. Let u(g) = -g**2 + 7*g - 8. Let w be u(6). What is the second smallest value in -0.2, w, y? -0.2 Let b = -715562/65 + 55399/5. Let v = b - 71. What is the second biggest value in -2, v, 1? v Let t be (-12)/9 + 1/1. Let d = -4/7 + 34/35. What is the third biggest value in d, t, -1/4? t Suppose y = -5*g + 9, -g + 4 = 3*y + 5. Let n = -2.03 + 0.03. Let t = n - -1.9. What is the third biggest value in 0, y, t? y Let s = -12.04 + 12. Which is the smallest value? (a) -1 (b) -3 (c) s b Let i = -33 + 33. Let z = -2 + 2.4. Which is the third biggest value? (a) z (b) 5 (c) i c Let t = -0.14 + -1.86. Which is the biggest value? (a) 0.5 (b) t (c) -2/21 a Let g = 1.1 - 0.5. Let h = 8 + -7.7. Let w = g - h. Which is the third smallest value? (a) w (b) 1 (c) 0 b Let n = 11/14 + -9/7. Which is the fourth smallest value? (a) -0.3 (b) 0.3 (c) -1 (d) n b Let t(r) = -r - 1. Let o be t(0). Suppose -2*y + 3*y = -2. Let x be ((y/(-3))/(-2))/1. Which is the second biggest value? (a) 4/9 (b) x (c) o b Let n = 0.073 + 0.927. Which is the third smallest value? (a) -2 (b) n (c) 4 (d) -0.1 b Let i = 0.046 + -0.046. Which is the second biggest value? (a) -0.2 (b) -0.3 (c) 4/5 (d) i d Suppose -13 - 2 = -5*s. Suppose -2*x + 1 = -2*i + s, 2*i + 4 = 4*x. Let t = -0.6 + -2.4. Which is the second smallest value? (a) 0 (b) t (c) x a Let w = -0.1 - -1.1. Suppose -s + 24 = 2*s. Suppose t = -t + s. Which is the second smallest value? (a) t (b) -1/2 (c) w c
{ "pile_set_name": "DM Mathematics" }
0.578113 0.078113 -0.059 - 94562 -94562.059 What is the difference between 2 and 3.169? 1.169 Calculate -3552.9 - 0.09. -3552.99 Sum 182736 and -0.04. 182735.96 What is 0.9 plus -7809? -7808.1 What is the difference between 53 and 1.85? 51.15 -5+1.7121 -3.2879 Add -24 and -0.051. -24.051 Subtract 630.18 from -0.4. -630.58 Subtract 0.1 from 0.305. 0.205 50 - 4.356 45.644 -253647+1 -253646 Add together 0.087 and 95726. 95726.087 Work out 2 - -177. 179 What is 18.1563 minus 0.12? 18.0363 Subtract 18.5 from 1013. 994.5 -1903.7+0.4 -1903.3 Work out -0.1 - -104864. 104863.9 Total of 341 and -0.02. 340.98 Subtract -1.530477 from -0.1. 1.430477 What is the difference between -0.0452 and 0.5? 0.5452 213 + -16 197 Sum -1.4667 and -8. -9.4667 12 + -5663 -5651 Calculate -0.34165 - 5. -5.34165 Calculate -5 + -7. -12 Work out 5.73 + 0.1. 5.83 What is 205 less than -103? -308 What is 34479 minus -1? 34480 Subtract 7.9112 from 4. -3.9112 Work out -0.5 - 82.7. -83.2 Total of 33.326 and 4. 37.326 Total of 0.2 and -15457. -15456.8 1.609 + 1 2.609 What is -5 take away -0.00582? -4.99418 Work out -24 + 12071. 12047 Put together 5 and -0.31305. 4.68695 What is 2 + 742? 744 707+25.6 732.6 Work out -2833877 + 0.4. -2833876.6 Calculate -44 + 2871. 2827 -0.2551+-7 -7.2551 -27+11 -16 Sum -32880 and -0.02. -32880.02 Calculate 4741318 - 5. 4741313 Calculate 250609 - 1. 250608 What is 81577 plus -5? 81572 7+-290 -283 Work out 0 + -2.59. -2.59 Calculate -1793100 - 1. -1793101 Work out 1.4 + -465941. -465939.6 -13 - 0.922 -13.922 0.09421 + 120 120.09421 Add together -5260 and 0.36. -5259.64 52.99 - -3.4 56.39 What is 3 less than -307? -310 3 - 7.5 -4.5 What is 62 minus -7? 69 What is -0.019 take away 0.07? -0.089 Add together 0 and 3103. 3103 What is 0.156 + 1? 1.156 What is -8.67 - 3? -11.67 Put together 74003 and -0.5. 74002.5 Calculate 6 + 95. 101 What is 8918 + -48? 8870 What is -24340 plus 1? -24339 What is the distance between 56 and 22? 34 Work out 3067 + -4. 3063 What is -15.9658 take away -0.2? -15.7658 What is 55 plus -2.7? 52.3 Add 0.0701 and -2304. -2303.9299 -4+2949 2945 What is the distance between 0.07 and -22459? 22459.07 Calculate 1.77 + -11532. -11530.23 What is -24.089 take away -8? -16.089 What is the difference between -0.168155 and 3? 3.168155 149 - -9.6 158.6 Total of -1184 and -0.6. -1184.6 Work out -105.6 + -0.0107. -105.6107 Put together 109.4 and 1.108. 110.508 What is 4.2651 less than -0.4? -4.6651 What is 0.5 take away -76.014? 76.514 Add -1283411 and 0.1. -1283410.9 What is 0.101 minus 21? -20.899 What is -4871 minus -0.5? -4870.5 Put together -5 and -0.004472. -5.004472 What is -6.8912 take away 2? -8.8912 What is -1 - 0.676? -1.676 What is -0.3 - -1.06? 0.76 14414 - -41 14455 0.3014 + 3 3.3014 -86 + -0.18602 -86.18602 What is -87.38 take away 0.3? -87.68 Total of 11 and 740178. 740189 Subtract -24.815 from -7. 17.815 Add -0.4 and 573824. 573823.6 What is the difference between 1.9 and -721? 722.9 Work out -26 - -0.2591. -25.7409 What is 23710 less than -0.5? -23710.5 Total of 393.91 and 0.4. 394.31 Add together -28862 and -32. -28894 What is -0.04 take away 361101? -361101.04 What is -487 + 23? -464 What is -31.1 take away -0.1? -31 What is 5.59 minus -1330? 1335.59 Total of -0.4 and 1347. 1346.6 Total of -149636 and 1. -149635 What is 291 - 1.97? 289.03 What is -0.4 + -24.53? -24.93 Calculate 2.326 + 2.6. 4.926 What is -1126 + -2? -1128 What is the distance between 0.1 and 7251689? 7251688.9 What is 0.21 plus -73? -72.79 Calculate -5 + -123. -128 Add 16 and 66. 82 Calculate -54 - 77. -131 What is the distance between -8719 and 4.72? 8723.72 What is the difference between 2.41 and -0.513? 2.923 Work out 4362 - 0. 4362 What is the difference between -267.35 and -0.2? 267.15 Put together 11 and 54699. 54710 What is -0.001 take away -33.06? 33.059 0.21+-38907 -38906.79 Calculate -0.024 - 0.1496. -0.1736 Total of -321 and -216.67. -537.67 Calculate -3 + -0.04316. -3.04316 What is -411 plus -147? -558 83.1+-0.00579 83.09421 Put together -616 and 1.1. -614.9 Sum -60874.21 and 0.1. -60874.11 Subtract 1888 from -2. -1890 Put together 16 and 12.2. 28.2 Work out 1454512 - -1. 1454513 Subtract -251 from -8. 243 What is the difference between -0.7 and 8.28? 8.98 Total of 577 and -10. 567 What is the difference between -949 and 0.4? 949.4 What is -10 less than 8272? 8282 What is
{ "pile_set_name": "DM Mathematics" }
om ssisisi? 2/7 Calculate prob of picking 1 l and 2 e when three letters picked without replacement from cldlcecdldded. 3/286 Calculate prob of picking 2 z when two letters picked without replacement from {t: 2, z: 5}. 10/21 Two letters picked without replacement from chucuchqucngcchhh. Give prob of picking 1 u and 1 g. 3/136 Three letters picked without replacement from {d: 2, j: 17}. Give prob of picking 1 d and 2 j. 16/57 What is prob of picking 1 a, 1 h, and 1 l when three letters picked without replacement from blbblbhbiabbbblxbaba? 3/380 Two letters picked without replacement from {k: 16, s: 4}. Give prob of picking 1 k and 1 s. 32/95 Two letters picked without replacement from {n: 2, t: 1, h: 2, l: 2, r: 1}. What is prob of picking 2 h? 1/28 What is prob of picking 1 j, 1 l, and 2 r when four letters picked without replacement from llrrljlu? 2/35 Calculate prob of picking 1 s and 2 b when three letters picked without replacement from spvspppbujppvbv. 2/455 Calculate prob of picking 1 l, 1 n, and 1 w when three letters picked without replacement from wnlwlcwllwnww. 24/143 Three letters picked without replacement from esooeesese. Give prob of picking 1 o and 2 s. 1/20 What is prob of picking 1 f, 1 g, and 1 n when three letters picked without replacement from bbfffbgngegfggebbeef? 5/228 What is prob of picking 2 n and 2 y when four letters picked without replacement from nnzynzzzzzyyyzyz? 3/182 Four letters picked without replacement from mmmmmumuumuumwuuu. Give prob of picking 2 u and 2 m. 28/85 Four letters picked without replacement from {s: 1, x: 2, y: 1, j: 1, z: 1, v: 1}. Give prob of picking 1 v, 1 j, and 2 x. 1/35 Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {b: 7, y: 5}. 21/44 What is prob of picking 1 d and 1 f when two letters picked without replacement from fpccdcdcptpcnfcfpdfp? 6/95 Calculate prob of picking 1 u, 1 y, 1 n, and 1 d when four letters picked without replacement from ddnufuyffyyfyn. 32/1001 Four letters picked without replacement from eggggggelegvlcvgllc. Give prob of picking 2 v and 2 g. 7/969 Three letters picked without replacement from {a: 2, g: 2, n: 1}. Give prob of picking 2 g and 1 a. 1/5 Three letters picked without replacement from rjjjqjrrtqtjtjt. Give prob of picking 1 j and 2 r. 18/455 What is prob of picking 2 k and 1 e when three letters picked without replacement from keeeekeeeekekeeeee? 7/68 Three letters picked without replacement from wjkjwwjwwwjwk. Give prob of picking 2 w and 1 j. 42/143 Calculate prob of picking 2 i and 2 k when four letters picked without replacement from {k: 9, i: 3}. 12/55 Three letters picked without replacement from lzzzlzqzqzzqsk. What is prob of picking 1 s and 2 l? 1/364 Three letters picked without replacement from ppull. Give prob of picking 2 p and 1 l. 1/5 Calculate prob of picking 2 t and 1 v when three letters picked without replacement from bvttvvhrtbt. 6/55 Four letters picked without replacement from {n: 4, q: 6}. What is prob of picking 3 n and 1 q? 4/35 Four letters picked without replacement from gigniwiin. Give prob of picking 2 n, 1 i, and 1 g. 4/63 What is prob of picking 2 v when two letters picked without replacement from {s: 2, k: 6, v: 7, x: 1, q: 1, y: 2}? 7/57 Four letters picked without replacement from vznzinnzooenizz. Give prob of picking 2 z, 1 n, and 1 o. 16/273 Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {j: 4, g: 5, q: 5}. 20/91 What is prob of picking 1 t and 1 a when two letters picked without replacement from vqwvvwawtwvwttv? 1/35 Two letters picked without replacement from {t: 7, m: 5, u: 4}. Give prob of picking 2 t. 7/40 Calculate prob of picking 2 z and 1 e when three letters picked without replacement from {z: 5, e: 11}. 11/56 What is prob of picking 1 a and 1 b when two letters picked without replacement from {a: 12, l: 2, j: 1, e: 1, b: 3}? 4/19 Calculate prob of picking 1 x and 1 c when two letters picked without replacement from aksskwxc. 1/28 Two letters picked without replacement from smsbbmsmmbmbb. Give prob of picking 2 s. 1/26 Two letters picked without replacement from {x: 1, a: 2, u: 1, t: 1}. Give prob of picking 1 u and 1 a. 1/5 Four letters picked without replacement from tnnttzzzzlltot. What is prob of picking 3 t and 1 o? 10/1001 Four letters picked without replacement from {r: 2, a: 8}. What is prob of picking 1 r and 3 a? 8/15 Four letters picked without replacement from {z: 7, n: 12}. Give prob of picking 3 n and 1 z. 385/969 Four letters picked without replacement from wohhhwwwhohwhwwwwwoo. Give prob of picking 2 w and 2 o. 18/323 Two letters picked without replacement from {p: 1, v: 2, e: 2, t: 7}. Give prob of picking 1 p and 1 e. 1/33 Three letters picked without replacement from kchwhhchih. Give prob of picking 2 h and 1 w. 1/12 Two letters picked without replacement from {x: 1, q: 3, v: 2, i: 1, b: 5}. Give prob of picking 1 q and 1 b. 5/22 What is prob of picking 2 y when two letters picked without replacement from {y: 17, n: 2}? 136/171 Two letters picked without replacement from {e: 4, k: 1, v: 4, f: 1, q: 1}. What is prob of picking 1 q and 1 f? 1/55 What is prob of picking 1 z and 1 k when two letters picked without replacement from mwmmkvz? 1/21 Two letters picked without replacement from zzzmkazkazz. Give prob of picking 2 k. 1/55 What is prob of picking 2 o when two letters picked without replacement from {k: 1, o: 4, d: 3, s: 5}? 1/13 What is prob of picking 1 c and 1 x when two letters picked without replacement from jxcllllcjllfcfz? 1/35 Two letters picked without replacement from {p: 3, s: 1}. Give prob of picking 2 p. 1/2 What is prob of picking 2 t and 2 w when four letters picked without replacement from {u: 5, w: 2, t: 5}? 2/99 Three letters picked without replacement from {x: 2, d: 2, k: 1, g: 1, a: 2}. What is prob of picking 1 d and 2 a? 1/28 Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {c: 2, t: 5, v: 8}. 8/455 What is prob of picking 1 t and 1 r when two letters picked without replacement from rrrt? 1/2 What is prob of picking 1 l and 2 m when three letters picked without replacement from mmllm? 3/5 Four letters picked without replacement from {m: 17, d: 2}. What is prob of picking 2 d and 2 m? 2/57 What is prob of picking 1 f, 2 e, and 1 s when four letters picked without replacement from xefekosk? 1/70 Two letters picked without replacement from aaaaaaaalaaaalaala. Give prob of picking 2 l. 1/51 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, t: 1, x: 1, w: 2, f: 2, d: 1}. 1/36 What is prob of picking 3 m when three letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
o(j(i)). -5775*i Let s(k) = -61083*k**2. Let n(r) = 3*r - 39. Calculate n(s(a)). -183249*a**2 - 39 Let m(u) = -19*u + 1. Let o(c) = -11*c**2 - 2*c - 830. Determine m(o(p)). 209*p**2 + 38*p + 15771 Let c(k) = k. Let f(x) = -3*x - 6. Let d(i) = i + 1. Let u(g) = 4*d(g) + f(g). Let y(p) = -180*p + 270. Let m(b) = 135*u(b) + y(b). What is c(m(z))? -45*z Let w(g) = 2426033*g**2. Let d(b) = 23*b. Calculate w(d(n)). 1283371457*n**2 Let h(a) = -36*a. Let w(p) = -370*p**2 - p - 65. What is w(h(t))? -479520*t**2 + 36*t - 65 Let z(x) = -835 + 48319718*x**2 - 921 - 48319725*x**2. Let s(i) = -i. Determine s(z(t)). 7*t**2 + 1756 Let w(n) = -9*n**2. Let r(p) = 50*p**2 + 37663. What is r(w(d))? 4050*d**4 + 37663 Let w(v) = 3*v**2. Let k(h) = 3054*h + 816. Determine k(w(j)). 9162*j**2 + 816 Let a(t) = -177*t**2 - 2841. Let s(v) = -2*v - 15. What is s(a(g))? 354*g**2 + 5667 Let c(a) = -3*a**2 - a - 4. Let g(i) = 4*i**2 - 220*i + 12. Let k(z) = -3*c(z) - g(z). Let d(s) = s**2. What is k(d(w))? 5*w**4 + 223*w**2 Let t(d) = 2*d**2 + 13*d - 1. Let q(v) = -v**2 - 13*v + 1. Let j(u) = q(u) + t(u). Let x(z) = 172*z. What is x(j(c))? 172*c**2 Let w(d) = 47*d**2 - 10651 + 10651. Let v(m) = 19*m. Calculate w(v(u)). 16967*u**2 Let c(j) = 844*j + 46. Let t(y) = -12*y. Determine c(t(d)). -10128*d + 46 Let t(i) = -6*i**2 + 84. Let a(f) be the third derivative of -f**4/8 + 10*f**2 - 11. Give t(a(u)). -54*u**2 + 84 Let f(z) be the second derivative of -z**4/4 - 47*z**2/2 - 10*z + 8. Let x(g) be the first derivative of f(g). Let d(y) = -2*y + 2. What is d(x(b))? 12*b + 2 Let n(q) = 8212103*q. Let v(x) = 3*x**2. What is n(v(r))? 24636309*r**2 Let h(i) = -i**2 - 682*i - 2. Let v(y) = -1261*y. What is h(v(j))? -1590121*j**2 + 860002*j - 2 Let o(g) be the second derivative of g**4/12 - 10*g + 22. Let x(w) = -3*w - 373. Give o(x(j)). 9*j**2 + 2238*j + 139129 Let v(p) = 6036078*p**2. Let b(n) = n**2. Determine v(b(j)). 6036078*j**4 Suppose 0 = -2*y + y + t, -2*y = -5*t + 6. Let q(u) = -4*u**2 + y*u**2 + 6*u**2. Let f(b) = 1766*b + 1771*b - 3557*b. What is f(q(j))? -80*j**2 Let i(a) be the second derivative of 7/3*a**3 + 0 + 0*a**2 + 16*a. Let f(s) be the first derivative of -2*s**3/3 - 2. Determine i(f(g)). -28*g**2 Let y = 61 + -59. Suppose y*b = -b + 6. Let j(c) = 3*c**b + 560 - 560. Let n(p) = 5*p**2. Determine j(n(t)). 75*t**4 Let s(g) = g**2 - 2*g - 18. Let w be s(-5). Let b(p) = 2*p + 7*p - w*p. Let r(j) = -20*j. What is b(r(y))? 160*y Let y(g) = 2*g. Let f be (10/(-6))/(10/(-12)). Suppose -23*k = -25*k + 8. Let c(j) = 5*j**2 - k*j**2 - 5*j**2 - 8*j**f. Determine y(c(h)). -24*h**2 Let a(l) = 7508*l - 3686*l - 3820*l. Let g(b) = -2*b**2 - 2826. Determine a(g(i)). -4*i**2 - 5652 Let l(x) be the second derivative of x**4/4 + 30*x. Let b(s) be the third derivative of -s**5/60 - 91*s**2 - s. Determine l(b(y)). 3*y**4 Suppose 378 = 15*w + 108. Let d(o) = -o + 34*o + w*o. Let i(k) be the second derivative of -k**4/6 + k. Determine d(i(b)). -102*b**2 Let d(i) = -24*i**2 - 55*i - 33. Let g(c) = 11*c**2 + 25*c + 15. Let k(q) = 5*d(q) + 11*g(q). Let l(y) = -3579*y**2. Determine k(l(r)). 12809241*r**4 Let x(m) be the second derivative of m**3/6 + 7785*m. Let c(l) = -6*l + 148. Calculate x(c(t)). -6*t + 148 Let x(k) = k. Let t(m) = 4012140*m. What is x(t(p))? 4012140*p Let w(s) = -15440*s**2 + 2*s + 2. Let v(r) = 153*r. Give w(v(t)). -361434960*t**2 + 306*t + 2 Let d(h) = -256*h - 1. Let n(g) = -15*g - 6*g + 41*g - 12*g - 10*g. Calculate d(n(y)). 512*y - 1 Let c(a) = -1721*a - 858*a + 2577*a. Let p(y) = 1963*y. Calculate p(c(n)). -3926*n Let i(a) = 773*a**2. Let m(v) be the first derivative of 7*v**3/3 + 1784. Calculate i(m(f)). 37877*f**4 Let i(y) = -9*y**2 - 67. Let x(r) = 10*r**2 + 65. Let h(b) = -3*i(b) - 2*x(b). Let s(o) be the first derivative of h(o). Let t(c) = -3*c. Calculate t(s(p)). -42*p Let
{ "pile_set_name": "DM Mathematics" }
-7/8 What is the value of (-371184)/(-13200) - 3/25? 28 What is the value of ((-15)/((-1080)/96))/(((-5)/6)/5)? -8 -4 + -25 - (-36)/(46 - 40) -23 Evaluate (423/27 + -15)/((-38)/(-12)). 4/19 Calculate (-2)/3*960/((-1120)/35). 20 Calculate (-2)/3 + 12*(-286)/(-3042). 6/13 15651/(-555) - (-45)/(-25) -30 Evaluate (5 + (-16)/6)*184/(-644). -2/3 Calculate ((-105)/98)/((-6)/(-8)). -10/7 -1 - -3 - -6 - (7 - (-18)/18) 0 (5 - 7 - 7 - (-7)/1)*-4 8 Evaluate ((-1 - 27) + 27)*-8. 8 Evaluate 639/(-284)*24/(-837). 2/31 13/((-27)/(-3) + -10) -13 What is the value of (664/64 - 10)*42/63? 1/4 Evaluate 324/(-2430)*(-36)/(-8). -3/5 (10/18)/((-2084)/(-9378)) 5/2 -7 - (8/(-3) + 2)*(17 + 19) 17 What is (-16)/184 - (-1900)/690? 8/3 Evaluate 5900/(-11500) - 3/(-5). 2/23 Evaluate 1224/6069*(-17)/(-2). 12/7 Calculate 3*196/(-12)*((-104)/(-140))/(-13). 14/5 (6/1)/((-10)/(-8)) + (97 - 101) 4/5 Evaluate (-2 - (-7)/5)*(-4 + -11)/5. 9/5 What is 7 + 460/(-60) + 488/48? 19/2 Calculate -14 + -2 + (-4668)/(-106) + -28. 2/53 Evaluate 6/(-3) - ((-13)/(13/6) + 2). 2 Evaluate 104/(-920) - (-11)/55. 2/23 Calculate 378/7452*(-11)/231*-12. 2/69 Evaluate (-11)/(495/6)*(-201)/(-134). -1/5 ((-770)/(-49) + -16)/((-2)/(-98)) -14 4/(-6)*34/(374/165) -10 (-99)/(-165)*((-2)/(-7) - 1) -3/7 What is the value of (-2409)/(-231) - 10 - 249/(-105)? 14/5 What is (111/27 - 4) + (7504/(-36))/(-14)? 15 (-44)/88*(1520/30)/4 -19/3 Calculate (18 - 14) + 2*(2 - 6). -4 ((-9)/7)/(3/(42/(-16)) + 1) 9 What is the value of (4/12)/(4/(-32))? -8/3 Calculate ((-2430)/(-120))/81*1/(-2). -1/8 Evaluate (-1 + 2)*(16/(-1) - -2). -14 Evaluate ((-40)/4*-1)/((-1)/12*6). -20 What is (((-4)/3)/((-21)/(-6)))/(734/1101)? -4/7 What is the value of 4/(-9) - 26718/1971? -14 Calculate (-4)/(15/20*(-80)/(-150)). -10 (2 + (-4)/8)/((-25)/(-10)) 3/5 What is ((-71)/(26625/(-300)))/((4/30)/(-1))? -6 What is (731/(-86)*(-2)/4)/(2/8)? 17 What is the value of (192/128)/(386/(-8) - -4)? -2/59 Calculate (-16)/(-6) + (12/(-10) - (-323)/(-85)). -7/3 What is the value of ((-432)/1008)/(-2 - (-21)/6)? -2/7 Evaluate (-30 - 636/(-20))*(-20)/6 - 18. -24 Calculate 424/106 - (756/(-32))/(-7). 5/8 Evaluate ((-1)/(-3))/(12/108) + -1. 2 Calculate (63/(-12))/(36/(-144)). 21 (495/88 + -5)*168/(-63) -5/3 What is the value of (-102)/1292*240 + (-1)/19? -19 ((-2)/11)/((-211)/(-422)) -4/11 What is 2*1/12 + 53 + (-23675)/450? 5/9 Calculate ((-3)/(-25))/(36/12). 1/25 What is 1818/(-162) + 12/54? -11 ((-12)/11)/((-408)/(-2244)) + 94/15 4/15 Calculate (4684/(-8197))/((-74)/7). 2/37 Calculate 1170/(-936)*(-48)/(-10). -6 What is the value of (-124)/(-62)*14/2 + (-4 - -1)? 11 Calculate (-844)/(-2110) + (-2)/(-6) + 23/(-45). 2/9 What is the value of (35/(-9 - -534))/(1/(-21))? -7/5 What is (32/(-16688))/(7/49)? -2/149 What is the value of 384/(-896)*7/4? -3/4 Evaluate 4440/555*10/(-8). -10 Calculate ((-2)/(-10))/(111/10545). 19 What is (-180)/(-390)*390/40? 9/2 Evaluate ((-4)/(-52))/((-3)/(-8) + (-12)/(-96)). 2/13 Evaluate ((-55)/(-15) - 2)*342/(-12255). -2/43 What is ((24/80)/(((-270)/(-100))/(-27)))/5? -3/5 Calculate ((-1128)/(-846))/((-1)/(66/(-8))). 11 Evaluate (6/(-8) + 2)*((-186)/(-30) - 6). 1/4 (-8)/22 + (-1235)/(-6270) -1/6 What is the value of 16 + (-50 - -4) + 19? -11 Calculate 7 + ((396/90)/(-11) - 378/80). 15/8 Calculate 1212/174 - 5 - (1 - -3)/2. -1/29 Calculate (344/(-40) - -11)/((-4)/(40/(-6))). 4 Evaluate (3/(-5)*120/108)/(8/84). -7 What is the value of (-14)/21*15/(-2)*(-6)/(-45)? 2/3 Evaluate 0/1 - -13*(-9)/(-117) - 31. -30 Calculate -8*(2/(-7) + (-195)/910). 4 Calculate ((-24)/42 - 531/(-378))*12/(-15). -2/3 ((3/(-2))/3)/(233/7922) -17 ((-123)/164)/((1 + 11)*(-1)/(-2)) -1/8 Calculate 1121/4248 + 2/(-18)*-1. 3/8 What is the value of 2/(-22)*2 - (-21352)/3454? 6 Calculate (10 + 0)*((986/(-85) - -16) + -3). 14 What is the value of 40/12*1/(-11 - -20 - -6)? 2/9 Calculate (-3 - 27/756*-100)/(4/(-154)). -22 Evaluate (-99)/22*(-120)/180. 3 (-3)/10*80/180 -2/15 (-976)/(-1098)*(-1 - (-14)/8) 2/3 What is the value of (-4)/36 - ((-580)/45 - 30/135)? 13 What is (((-8)/(-66))/1)/(588 + -590)? -2/33 16/(-20) + (4/8 - 498/(-60)) 8 What is (72/(-14))/((-32)/48) + (-4)/(-14)? 8 What is 14 + -42 + 204/17? -16 What is the value of 16 - 6461/420 - -3*(-6)/(-135)? 3/4 Evaluate (2/160)/(24/(-120)). -1/16 What is the value of (45/(-16))/((-5667)/7556)? 15/4 What is the value of (-2)/((-6600)/(-1125) - 2/(-15))? -1/3 35*(-90)/(-252) - 16 -7/2 Calculate ((-18)/15)/(6*(5 - (-9064)/(-1815))). -33 Calculate (200/16 + -10)/(0 - 5). -1/2 What is 9/(-
{ "pile_set_name": "DM Mathematics" }
*m**4 + 5 - 12*m**4 - 7 in the form i*m + y*m**3 + j*m**4 + u + v*m**2 and give y. -1 Rearrange 8 - 4 - 5 - 95*f + 1 to z + w*f and give w. -95 Express 5*j - 2*j**2 + 12*j**3 + 0*j**2 - 18*j**3 + 8*j**3 as q + v*j**3 + m*j + t*j**2 and give t. -2 Express (-3*x**2 - 3*x**2 + 5*x**2)*(-26*x + 282 + 2*x**2 + 15*x + 11*x) in the form w*x**4 + i*x**3 + n*x**2 + a*x + q and give n. -282 Rearrange 3 - 7*v**2 + 4*v**2 - 6 + 0*v**2 to the form s + t*v + q*v**2 and give q. -3 Express (0*x - 3*x + 5*x)*((0 - 4 - 2)*(3 - 1 - 3) + 2 + 1 - 2 - 3 + 4 - 4 + (2 - 1 - 3)*(2 + 3 - 7) - 3 + 0 + 2 - 3 + 2 + 0) in the form m*x + a and give a. 0 Express 2*c + 75*c**2 + c - 9*c - c in the form g*c + z + w*c**2 and give z. 0 Express 2*y**3 - 3*y**4 + 2 + 2*y**4 - 106*y**2 + 120*y**2 - y**4 - y**4 as x + c*y + g*y**2 + o*y**4 + i*y**3 and give x. 2 Express (-2 + 2 + a)*(3 + 162*a**2 + a**3 + 4529808*a - 4529808*a) as d*a**3 + n*a**4 + k*a + p*a**2 + w and give d. 162 Express -r**3 + r + 16*r**4 - 15*r**4 - 2 + 12*r**2 + 0*r + 2*r**3 - 2*r**3 as x*r**4 + i*r**2 + c + p*r**3 + v*r and give i. 12 Rearrange -111*a - 118*a - 96*a to w + v*a and give v. -325 Rearrange -5 + 1333*v**4 - 2*v**2 - v**3 - 2 - v + 1 - 1367*v**4 - 4 to z*v**4 + i*v**2 + u*v**3 + q + n*v and give u. -1 Express -1 - 62*f**4 - 64*f**4 - 2*f**3 - 4*f**2 + 128*f**4 as m*f**3 + b + d*f + v*f**2 + r*f**4 and give r. 2 Rearrange -47*y**2 - 78*y**2 - 14*y**2 to h*y + b + c*y**2 and give c. -139 Rearrange (2 - 2 - 2*m)*(-80*m + 3*m**3 + 80*m + 3*m**2)*(38 - 5 - 6) to the form x + u*m**3 + i*m**2 + z*m + p*m**4 and give p. -162 Express 0*m + 2*m**4 + m**4 + 511*m**2 - 2*m - 4*m**4 - 470*m**2 as r + k*m**2 + b*m + d*m**3 + u*m**4 and give b. -2 Express 7*m**4 - 12*m**4 - 4*m**2 + 3*m**3 + 6*m**4 as h*m**2 + d*m**4 + f*m + t*m**3 + c and give d. 1 Express -14*y**2 + 5*y + 124 - 5*y - 136 in the form w + c*y + r*y**2 and give r. -14 Express -4*d + 3*d + 638 + d**2 - 4*d**4 + 2*d**4 - 3*d**2 - 662 as n*d**2 + h*d**3 + a*d + s + m*d**4 and give m. -2 Express -2*i**3 + 10*i**2 - 8*i**4 - 2 + 6*i**4 + 0*i**3 + i**2 + 5*i as f*i**3 + s + k*i**4 + j*i + o*i**2 and give s. -2 Rearrange 14 + 0 + 0*t**2 - 12 - 99*t - t**2 to o*t**2 + w + k*t and give o. -1 Rearrange (5723*q**2 - 2174*q**2 - 2410*q**2)*(-3*q + 5*q - 3*q) to the form x*q**3 + f*q + b*q**2 + l and give x. -1139 Express 10*h**3 - 4*h + 5 + 2543*h**2 - 2543*h**2 as i*h + o*h**3 + q + j*h**2 and give i. -4 Express -18*x**2 - 129*x**2 + 0 - 1 + 3 as b*x**2 + m + k*x and give b. -147 Express (-t**3 - 4*t**3 + 2*t**3)*(-2 + 7*t + 2) - 3*t**4 + 0*t**4 + 8*t - 11*t as r*t**3 + l*t**2 + s + h*t + o*t**4 and give o. -24 Rearrange -4*l**2 - 1405*l**3 + 0*l**2 + 1405*l**3 + 2*l**4 - 72*l to c*l**4 + v*l + r*l**2 + k + o*l**3 and give c. 2 Express -42*t**2 - 10*t**2 + t - 12*t**2 as o*t + v + r*t**2 and give r. -64 Express (43 - 43 - 7*g**3)*(-7 + 20 + 16 + (3 - 4 + 3)*(-1 + 4 - 1)) as h + l*g**3 + j*g**2 + x*g and give l. -231 Rearrange m**2 - 50*m - 150*m**4 - 86*m + 135*m + 2*m**3 to c + q*m**3 + a*m**2 + s*m + o*m**4 and give a. 1 Rearrange -3 + 1 + 136*u**2 + 720*u - 721*u - 53*u**3 + 54*u**3 to j*u + o + b*u**2 + t*u**3 and give o. -2 Express -1323*i - 2034 + 2034 as v*i + c and give v. -1323 Rearrange (0*k**2 + 3*k**2 + 0*k**2 - 3*k**3)*(-6 + 13 - 64) to the form d*k**2 + f*k + b + h*k**3 and give h. 171 Express 3*n - 99 + 178 - 90 - 4*n as q*n + w and give w. -11 Express (-18 + 88 + 265)*(-3*g + 2*g + 0*g) as v*g + d and give v. -335 Rearrange -781*q**2 - 979*q**2 + 202*q**2 - 148*q**2 to y*q + h + z*q**2 and give z. -1706 Express 8*g**2 - 251*g + 5 - 9 + 252*g in the form x + b*g + f*g**2 and give x. -4 Express -33*g + 43*g - 1047*g as d + n*g and give n. -1037 Express 3*h - 2 + 114*h**2 - 230*h**2 - 8*h**4 + 116*h**2 - h**3 as n*h**2 + m + q*h**3 + w*h + i*h**4 and give i. -8 Express (-3
{ "pile_set_name": "DM Mathematics" }
et a be (-12)/f*(-6)/9. Find c, given that -4/17*c**2 + a*c - 2/17*c**4 + 6/17 - 8/17*c**3 = 0. -3, -1, 1 Suppose 21*s = 27*s - 283*s. Factor 0*u + 4/5*u**4 + 4/5*u**5 + s*u**2 + 0 - 8/5*u**3. 4*u**3*(u - 1)*(u + 2)/5 Let v(y) be the first derivative of -y**7/420 - y**6/60 + y**4/3 - 19*y**3/3 + 6. Let l(j) be the third derivative of v(j). Suppose l(a) = 0. What is a? -2, 1 Let p(l) be the second derivative of 4*l**3 - 1/30*l**6 + 2/5*l**5 + 0 - 11/6*l**4 - 9/2*l**2 - 9*l. Solve p(x) = 0. 1, 3 Let h(f) = f**3 + 2*f**2 + 2*f. Let b(a) = -3*a**3 - 4*a**2 + 23*a - 54. Let n(c) = 3*b(c) + 6*h(c). Factor n(w). -3*(w - 3)**2*(w + 6) Let n(x) = 3*x**2 + 8*x + 2. Let f = -3 - 0. Let i be n(f). Factor -6 - 2*h - i*h - 5*h**3 - 2*h + 8*h**3. 3*(h - 2)*(h + 1)**2 Let u(t) be the third derivative of -t**9/35280 + 3*t**8/7840 - 3*t**7/1960 - 2*t**4/3 - 18*t**2. Let m(i) be the second derivative of u(i). Factor m(s). -3*s**2*(s - 3)**2/7 Find a, given that 2184*a + 1352/3 + 50/3*a**4 - 420*a**3 + 7418/3*a**2 = 0. -2/5, 13 Let y(w) = 2*w**4 - 6*w**3 + 12*w**2 + 4*w. Let c(a) = 2*a**4 - 6*a**3 + 11*a**2 + 3*a. Let j(z) = -6*c(z) + 5*y(z). Suppose j(o) = 0. Calculate o. 0, 1 Let r = 15126 + -75626/5. Find p such that -4/5*p**2 + r*p**4 + 0*p + 0 - 4/5*p**5 + 4/5*p**3 = 0. -1, 0, 1 Let a(t) be the first derivative of 7*t - 1/30*t**3 - 8 + 1/100*t**5 + 1/60*t**4 - 1/10*t**2. Let h(p) be the first derivative of a(p). Factor h(b). (b - 1)*(b + 1)**2/5 Let d(y) be the third derivative of -15*y**2 - 1/105*y**5 + 0*y + 1/420*y**6 + 0 + 0*y**3 + 0*y**4. Factor d(n). 2*n**2*(n - 2)/7 Let q be (0 - 0) + 0 + 4. Let b = -4 + 6. Factor n**2 + b*n - 5*n + 3*n - q. (n - 2)*(n + 2) Suppose 0 = 4*c - n - 22, 5*c - 5*n - 65 = -15. Factor 2/5*v + 3/10*v**2 - 2/5 - 1/10*v**c - 1/5*v**3. -(v - 1)**2*(v + 2)**2/10 Let f = 1 - -2. Let i(x) = -69*x + 22 + 26*x**2 - 40*x + 19*x. Let w(s) = 25*s**2 - 89*s + 21. Let u(d) = f*i(d) - 2*w(d). What is z in u(z) = 0? 2/7, 3 Let -9 + 1/2*u**2 + 17/2*u = 0. Calculate u. -18, 1 Let q(p) be the third derivative of p**8/168 - 8*p**7/105 + p**6/10 + 4*p**5/15 - 7*p**4/12 - 259*p**2. Solve q(b) = 0. -1, 0, 1, 7 Let k(x) = -3*x**2 + 37*x - 37. Let p be k(11). Let c be ((-14)/20)/p*54/(-9). Suppose -3/5*f - c*f**2 + 6/5 = 0. What is f? -2, 1 Suppose i = 6*i - 35. Suppose -4*b + 55 - i = 0. Determine m, given that 3*m**3 - b*m**4 + 3*m**3 + 3*m**5 + 9*m**3 - 6*m**2 = 0. 0, 1, 2 Let w(i) be the third derivative of -i**5/20 + 163*i**4/4 - 26569*i**3/2 - 2*i**2 + 161. Factor w(u). -3*(u - 163)**2 Let b(r) = -r**3 - 12*r**2 - 2*r - 22. Let u be b(-12). Factor 4*h**3 - 8*h**u + 3*h + 4*h**2 - 7*h + 8 - 4*h**2. 4*(h - 2)*(h - 1)*(h + 1) Let v(t) be the first derivative of t**4/42 + 34*t**3/63 + 10*t**2/7 - 417. Suppose v(k) = 0. Calculate k. -15, -2, 0 Let t(s) be the second derivative of 2*s**6/3 - 7*s**5/20 - 11*s**4/12 - s**3/3 - 447*s. Determine g so that t(g) = 0. -2/5, -1/4, 0, 1 Let b(l) be the second derivative of -3*l + 1/180*l**5 + 0*l**4 + 1/540*l**6 + 0 - 3/2*l**3 + 0*l**2. Let r(z) be the second derivative of b(z). Factor r(w). 2*w*(w + 1)/3 Let x(r) be the third derivative of r**6/280 - 9*r**5/140 - 3*r**4/14 + 10*r**3/7 - 56*r**2. What is h in x(h) = 0? -2, 1, 10 Let d(f) be the first derivative of -2*f**3 - 16*f**2 + 70*f - 552. Factor d(z). -2*(z + 7)*(3*z - 5) Let o(s) be the first derivative of -1/3*s**4 - 2/5*s**5 + 2*s**3 + 8/3*s + 4*s**2 - 8. Solve o(a) = 0 for a. -1, -2/3, 2 Let c be 72/(-99) - 2*-2. Let k = c - 39/22. Factor k - 9/2*h - 6*h**2. -3*(h + 1)*(4*h - 1)/2 Let m = 480 - 2927/6. Let g = -15/2 - m. Factor -4/3*n - 4/3 - g*n**2. -(n + 2)**2/3 Let h(i) be the second derivative of i**6/6 + 13*i**5/2 + 1205*i**4/12 + 780*i**3 + 3240*i**2 - 4*i + 2. Let h(o) = 0. Calculate o. -9, -4 Let n(c) = 3*c**2 + 363*c + 11912. Let d(z) = 15*z**2 + 1818*
{ "pile_set_name": "DM Mathematics" }
Solve -u = -y*u for u. 0 Suppose 4*s = 3*s - 3. Let d be 6/(-4)*(-3)/(12/32). Let j be -3*(28/d + s). Solve -2*z - j = -4*z for z. 1 Suppose 0 = -5*k - 5*b + 85, -4*b - 25 + 1 = 0. Solve -k*y = -54 - 38 for y. 4 Let f be (-276 - 0)/(15/1 + -17). Solve -20*p - 3*p + f = 0 for p. 6 Let p(x) = 5*x - 25. Let m be p(6). Let i(v) = 11*v + 60. Let t be i(-13). Let l = -63 - t. Solve m = 5*f - l for f. 5 Suppose 2*b - 26 = -4*o, 3*o - 4*b = -92 + 95. Solve -287 = o*u - 317 for u. 6 Suppose -183 = -4*g - 3*d, -25*d - 269 = -5*g - 23*d. Solve g*p + 84 = -273 for p. -7 Let f = 10440 + -10372. Solve -28*m - 100 = f for m. -6 Let u(q) = 1 + 33 - 9*q + 0*q - 11. Let f be u(2). Solve -8 = -f*r + 2 for r. 2 Let x(g) = g**2 - 5*g - 21. Let d(q) = -q**3 + 3*q**2 - 6*q + 5. Let o be d(2). Let f be x(o). Solve -1 = f*v - 4 for v. 1 Let x be -36 - 3 - (0 - 0). Let w(i) = -10*i**2 - 162*i + 322. Let g be w(2). Let k = x - g. Solve -2*c - k = c for c. -1 Suppose 0 = 2992*p - 2912*p - 3680. Solve p*m = 15*m + 93 for m. 3 Let t(a) = -7*a - 20. Let v be t(-7). Suppose 5*w - v = -4. Suppose w*q - q = 0. Solve -3*m - m + 12 = q for m. 3 Suppose -440*d + 473*d - 289 = 668. Solve v + 23 = d for v. 6 Suppose 28*i + i - 4727 = 0. Let q = i - 98. Solve q = -5*x + 50 for x. -3 Let d = -4 + 6. Suppose -10*q + 532 = -3*q. Let m = q - 68. Solve m = 5*b - d for b. 2 Let w = -102 + 26. Let d = w - -80. Suppose 5*y - 20 = 0, -g - 5*y + 36 = -0*g. Solve -g = 4*t + d for t. -5 Suppose 656 = 4*g - 64. Solve -13*h = -43*h - g for h. -6 Suppose -2*x + 112 = y, 2*x + 154 = 5*x - 2*y. Solve -37*j = -19*j + x for j. -3 Suppose 3*g - 1724 = 4*a - 563, 9*g - 3*a - 3537 = 0. Solve 13*c = -512 + g for c. -9 Suppose -5*o + 16737 = 3*s, 3*s - 12528 = o + 4209. Solve -s*x + 40 = -5584*x for x. -8 Let a(r) = -4*r**2 - 94*r - 25. Let k be a(-29). Let m = k - -668. Solve 12 = m*w + 12 for w. 0 Suppose -o - q = -37, q = -4*o - 0*q + 139. Suppose 3*y - 119 = -5*u, -2*u + o = -3*y - 1. Let c = u + -7. Solve 6*a = a - c for a. -3 Let h = -174 + -34. Let s = 291 + h. Let u = s - 79. Solve -3 = b - u for b. 1 Let x(o) = -o**2 + 6*o - 1. Let u be x(5). Let b(f) = -f**2 - 13*f - 29. Let h be b(-10). Suppose 49 = u*y + h. Solve 0 = -0*q + 3*q - y for q. 4 Suppose 39*m - 55*m + 2664 = 58*m. Solve 8*p = -m*p - 264 for p. -6 Suppose 0 = -4*f - 2*g + 52, -g - 21 = -5*f + 30. Suppose 5*x + 10 = 5*u, 3*x + 7 = u + f. Let a(p) = 2*p - 11. Let n be a(7). Solve -2 = -n*z - u for z. -1 Let o be -16*2*8/(-64). Suppose 5*d + 3 = -5*n + 8, o*d = n + 24. Solve d = -5*c - 20 for c. -5 Let t(i) = 110*i - 7800. Let v be t(71). Solve 0 = -v*f - 23 + 33 for f. 1 Let t(c) = 12*c + c**3 - 1 + 0 - 7 + 13 - c**2. Let k be t(0). Solve 6*i = k*i - 1 for i. -1 Suppose 0 = -27*j - 25*j + 76*j - 20832. Solve -858*y + j*y = -10 for y. -1 Let c be 2*-2 + (-4)/8*-2. Let a be 0/(-4) + (21/3 - c). Solve -4*x - 2 - a = 0 for x. -3 Let m(q) = q**3 - 19*q**2 + 21*q - 22. Let t be m(18). Let l be (-2 + t)*(-5)/(-15). Solve 3*y - 1 = -l for y. -3 Suppose 2*g + 82 - 46 = 0. Let y = 22 + g. Suppose -4*j + l + 24 = -0*j, -y*j + 8 = 3*l. Solve 0 = j*a + 7 + 8 for a. -3 Let n be 5*((-33)/(-9) + -4)*-3. Suppose 16 = 4*r, b = -b - n*r + 22. Solve -5*u + b = 11 for u. -2 Let b = -1717 + 1796. Solve 30*m - 259 = -b for m. 6 Suppose -2*t + 3*t - 2 = 0. Suppose -99*l = -78*l - 189. Suppose 3*k = 7*k + y - l, 4*k = -t*y + 6. Solve 7*r = k*r for r. 0 Let q(h) = -h**3 - 13*h**2 + 28*h - 25. Let p be q(-15). Suppose 55 + p = 12*i. Solve -10*z + i = -5*z for z. 1 Let p be (-18 + 2)/((-10)/40). Let h(a) = a**3 - 7*a**2 - 3*a + 5. Let z be h(5). Let n = p + z. Solve -t = -n*t - 15 for t. -5 Let y(g) be the first derivative of g**3/3 - 11*g**2/2 - 122*g + 389. Let v be y(-7). Suppose -2*p - 5*o - 6 = 0, 3*p + 2*o - 4 = -2. Solve -v = 3*t + p for t. -2 Let p = 0 + 0. Suppose x + 2*w = p, 3*x + 2*w - 32 = 4*w. Let d = x + -6. Solve 13 + d = -5*f for f. -3 Suppose -24*i = 75*i + 11*i - 2200. Solve -82 = i*a + 18 for a. -5 Let h = 16 + -3. Let d be (h/39)/((-1)/(-3)). Suppose -q + 1 + d = 0. Solve q = 2*l -
{ "pile_set_name": "DM Mathematics" }
)**25 assuming y is positive. y**(5400/29) Simplify (o*o**(-1/5))**(29/3)/(o**(-6)*o*o**(-4))*(o**(1/4))**(-14)*o**(-5)*o*(o/(o/(o*o**(-2/9)*o*o*o)))/o assuming o is positive. o**(1081/90) Simplify ((q/((q/((q*q/(q*q/(q**(2/17)/q)))/q))/q))/q**(2/11))**(-3/4)*(q*q**(-4/5)*q*(q**2*q)/q*q)**20 assuming q is positive. q**(63429/748) Simplify ((l*l**(-7))/l)/l*l*l**(-3/4)*l*l*(((l**(-1)/l)/l)/l)**(-13/2)*((l/(l/l**(-6)))/(l*l*l/l**(-6)))**(23/3) assuming l is positive. l**(-379/4) Simplify (b**(1/3))**(-37)/((b/b**(-2)*b)/b*(b/b**(-1))/b)*((b/(b/(b*b**0)))**(-28))**36 assuming b is positive. b**(-3073/3) Simplify ((p/(p*p/(p/p**(-6))))**(-34/3)*p**(2/37)*((p**(-15)/p*p)/p)/p)**25 assuming p is positive. p**(-78575/37) Simplify (q**(-11)/(q/(q*(q*q**0*q)/q*q*q))*(q*q**(-1/3)*q)/q**(-2/7))**(5/6) assuming q is positive. q**(-635/126) Simplify (i**(-1))**45*(i**(1/2))**(1/8)*(i*i/i**(-3/2))/i*i**(5/3)*i**4/i**(-1/5) assuming i is positive. i**(-8777/240) Simplify (((h/(h*h**28/h)*h)/h)/(h**37*h)*(h**12)**(-29))**25 assuming h is positive. h**(-10325) Simplify ((c*c**(-9)*c*c)/c**(-8))/(c**(-1/6)*c**(-2))*((c**(-1)/c*c)**(11/4))**(14/9) assuming c is positive. c**(-1/9) Simplify (b*(b*b*b**(-2)/b)/b*(b**(-5)*b)/b)**(2/71)*((b**(-2/7))**(-13))**(-26) assuming b is positive. b**(-48080/497) Simplify (p*p/((p/p**(-2))/p))/(p/(p**0*p))*p**3/p**7*((p/p**(2/9))**(-49))**(9/4) assuming p is positive. p**(-359/4) Simplify (i**(-4/7)*i*i/i**(-17)*((i/(i/(i*i/(i**5*i)*i*i*i)))/i)/i**11)**(1/27) assuming i is positive. i**(38/189) Simplify (((f**(-6)*f)/f*f*f*f**28)/(f/f**2)**(-1/23))**(14/11) assuming f is positive. f**(7714/253) Simplify ((w**27)**(-43)*w**(-36)/w*w**(-11/7))**(18/7) assuming w is positive. w**(-151146/49) Simplify (i/i**(-6)*i**(2/3))/(i/(i*(i*i*i/(i/(i**(1/2)*i)))/i))**(-13)*(i/((i/i**(-2))/i))**(-19)/((i/i**(-3/5))/((i**(-8)*i)/i)) assuming i is positive. i**(-463/30) Simplify (u*u**(1/2))**(-11)*((u/((u*u**(-1/4)*u*u)/u))/u)**(-47)*((u/u**(-3/10))/u**6)**23 assuming u is positive. u**(-847/20) Simplify ((h**(1/6)/(h*h**(2/9)*h))/(h/(h*h**(-2/5)))**(-36))/(h**(-2)/h**(-6)*h*h**(-1/8)*h*h**(2/7)) assuming h is positive. h**(15583/2520) Simplify ((u**22)**(-18)*((u**(2/29)*u)/u*u)/(u/(u**(-7/8)*u)*u))**(4/9) assuming u is positive. u**(-92059/522) Simplify ((y/y**(-3/2))/y**4)**(2/13)*(y/(y/(y*y**(-2/13)))*y**(-6))**(2/49) assuming y is positive. y**(-281/637) Simplify (l/l**(-6)*l**(-2/17)*(l/l**1)/l**4)/(((((l/(l*l**(-3/2))*l)/l)/l)/l)**(-1/18))**(-38) assuming l is positive. l**(1205/306) Simplify ((z**0/z*z/z**8*z)/(z**(-1/4)/(z/(z/z**(-2/7)))))/(z**(-11)*z**(-4))**(-2/29) assuming z is positive. z**(-6553/812) Simplify (((o/o**(-4))/o*o*o/o**(2/5))/(o/(o**(-2)*o)*o*o**(-3)))/((o**(-1/2)*o*o*o/(o*o**5))/(o**0*o**3/o)) assuming o is positive. o**(111/10) Simplify ((g**5*g**3)/(g**(-1/2)/g)**(8/11))/((g**(1/2))**(-1/3)/(g/g**(-1))**6) assuming g is positive. g**(1403/66) Simplify ((((l/(l*l**(4/9)*l)*l)/l**(3/2))/((l*l**1*l)/l*l)**(1/6))**(1/25))**(-5/9) assuming l is positive. l**(22/405) Simplify ((g**2*g)**(-45)*g**9/(g/(g*(g*g/(g**(1/6)/g))/g)*g))/(((((g/(g*g/(g**(-1/4)/g)*g))/g)/g)/g)/(g/((g/g**(-3/5))/g*g)))**18 assuming g is positive. g**(-352/15) Simplify (a**(2/5)/(a*a**(1/4)*a))**48/(a**(-1/3)/(((a**1/a)/a)/a))**(7/4) assuming a is positive. a**(-5503/60) Simplify (t**(-3)/t**(-2))**(2/37)*(((t*t**(-1))/t)/((t**(-1/3)/t)/t))/((t**(1/8)/t)/t**(2/9)) assuming t is positive. t**(6331/2664) Simplify (r*(r**(1/4)/r)/r)/(r/r**0)*(r**(4/9)*r)/(r**(-5)/r)*(r**(4/3)/(((r/(r**(-3)/r)*r)/r)/r*r))/(r**5*r*r**5/r*r) assuming r is positive. r**(-323/36) Simplify ((y*y**(2/17))/(y**13*y)*(y*y*y*y/y**(-26))/((y/y**(4/5))/y*y*y))**(4/13) assuming y is positive. y**(5412/1105) Simplify (j**(-32)/j*j*j**(-36))/(j**(-10)*j**(-16)) assuming j is positive. j**(-42) Simplify (q**1*q*(q**(2/23)/q)/q)/(q*q*q**(1/6)*q*q**(-2/11))*(q**4/(q/q**2))**(-24) assuming q is positive. q**(-186559/1518) Simplify (o**3*o*(o**3/o)/o)/((o*o**(1/4)*o)/o)**20*((o*o**2)/o*o*o*o*o**3*o)/(o*(o**(-1)*o)/o*o/o**(1/3)) assuming o is positive. o**(-35/3) Simplify ((p**(-1/11)/p)**(-47)*(p*p**(-12))**(-14))**(-2/9) assuming p is positive. p**(-4516/99) Simplify ((f/f**(-7))/(f/(f*f**(-2/5))))**(2/41)/((f/(f/((f/f**(-1/2))/f)))**32)**
{ "pile_set_name": "DM Mathematics" }
ue Let d(j) = 2*j**2 + 7*j - 2. Let g be d(-4). Suppose -g*v - 505 = -6*v + 3*q, -2*v = -q - 251. Is v a multiple of 13? False Let y(d) = 8*d**3 - 2*d + 3161. Is 6 a factor of y(0)? False Suppose -3*v = -3*c + 1359, -6*v + 2*c - 2256 = -v. Let n = v + 902. Is n a multiple of 18? False Let r = -413 - -429. Let j(k) = k**3 - 15*k**2 + 5*k + 182. Is j(r) a multiple of 37? True Suppose 2*y = -1 + 9. Let k be ((-12)/(-9))/(y/834) + -2. Suppose -i + j = -51, -4*j + k = 5*i + 21. Does 5 divide i? False Suppose 4*j + 83 = 71, -7103 = -2*q - 3*j. Does 47 divide q? False Suppose -2*g - 20 = x - 30, 10 = -2*x + 2*g. Suppose -9*p + 13*p - 4 = x, 0 = -3*h - 3*p + 171. Is 10 a factor of h? False Let y(h) = 23*h**2 - 8. Let c be y(-4). Let o = 540 - c. Is o a multiple of 21? False Let l = -40 - -46. Does 29 divide 290/(l/(-15) + 28/20)? True Suppose -13412 - 13748 = -56*q. Is q a multiple of 13? False Suppose 1702 = -11*q + 16*q + 3*j, -2*j + 8 = 0. Is 2 a factor of q? True Suppose 7*q + 140 = 4*q + 5*d, -3*d + 3 = 0. Let l = 131 + q. Is l a multiple of 4? False Suppose 4*a = -3*y + 127956, 3*a - 198202 = -5*y + 15080. Is 20 a factor of y? True Suppose 1255*x - 1256*x = -3544. Is x a multiple of 5? False Let s = -323 + 35. Let z = 87 - s. Does 25 divide z? True Suppose 0 = 57*l - 55*l - 576. Suppose -2*t - 2*t = 0, -4*y + l = -t. Does 36 divide y? True Suppose -4*n + 2*n = -4*b + 90280, -3*n + 67728 = 3*b. Suppose 2*w - 29*w = -b. Does 55 divide w? False Let w be (-2 - 20/35)/(2/(-42)). Let a(c) = -4*c - 36. Let f be a(-10). Suppose -5*k + f*s + 120 = 0, s + w = 2*k + 3. Does 7 divide k? True Let d be 11/(33/5298) + 1 + -3. Suppose -4*x - 10*x = -d. Is x a multiple of 10? False Let q be 3 - (20/4 + 183). Let j = -6 + -116. Let x = j - q. Is 6 a factor of x? False Let z(k) = -2*k + 19. Let s be z(-28). Let f = -3 + s. Suppose -9*y - 38 = -11*y + 2*w, f = 4*y - 2*w. Does 14 divide y? False Let a(z) = 5*z**2 - z + 1. Let f be a(5). Let c be (-6 - (-451 + 3))/(-2)*-1. Let y = c - f. Is 10 a factor of y? True Let l(i) = i**2 + 29*i + 152. Suppose -2*z + 159 = 227. Is 7 a factor of l(z)? True Suppose 146*q - 210*q + 428736 = 0. Is 3 a factor of q? True Let q(n) = 2*n**3 + 13*n**2 - 5*n - 5. Let h be q(-9). Let w = h - -575. Is w a multiple of 42? True Suppose -7*v + 3*v + 5*k = -12, 3*k + 10 = v. Let w be 4/8 + (-11)/v + 3. Suppose -w*a + 447 + 75 = 0. Is 29 a factor of a? True Suppose -9*i + 0 = -0. Let y be i/14 - (-1 - 0). Is 13 a factor of -93*-2*y/6? False Is 15 a factor of 1/((-3)/60)*(-28026)/216? True Let y(z) = 60*z**2 + 25*z + 100. Is y(-4) a multiple of 4? True Let p(n) = -n + 1. Let w be p(-2). Suppose 2*a = -o - 2 + 12, 2*a - 10 = w*o. Suppose 3*j + 3*q - 157 - 149 = 0, 4*q + 501 = a*j. Is j a multiple of 8? False Let j(c) = -2*c**3 + 9*c**2 - 4*c + 4. Let x be j(4). Suppose -5*z + 354 = x*f, 4*f + 1 - 5 = 0. Suppose k = -3*r + 28, -2*k - 22 = 5*r - z. Is 4 a factor of r? True Is (48/(-18))/(8/(-1902)) a multiple of 57? False Let f(m) be the third derivative of m**5/60 - m**4/12 + m**3/3 - 10*m**2. Let c be f(9). Let q = -17 + c. Is q a multiple of 4? True Suppose 5*u - 103 + 115 = -c, 2*u = 6. Let b be (1 - (2 + -2)) + 2. Let z = b - c. Does 6 divide z? True Let i(q) be the third derivative of 7*q**5/40 - 11*q**4/24 + 3*q**3 + q**2. Let a(d) be the first derivative of i(d). Is a(6) a multiple of 39? False Let a(t) = 2*t**2 - 52*t + 330. Is a(30) a multiple of 5? True Let o = 120 + 9384. Is o a multiple of 51? False Let s(k) be the second derivative of 13*k**3/3 + 28*k**2 - 33*k. Is 48 a factor of s(20)? True Let m(s) = -s**3 + 6*s**2 + 16*s + 4. Let l be m(8). Suppose -5*g + 231 = 3*k, 2*g - 308 = -l*k + 6*g. Is k a multiple of 7? True Let y(l) = l**2 - 4*l. Let v = -27 + 30. Suppose v*i - 35 = -5. Is y(i) a multiple of 10? True Let v(t) be the third derivative of 2*t**6/15 + t**5/15 - t**4/6 + t**3/6 - 6*t**2. Let g be v(1). Suppose -16*s + g*s = 77. Is s a multiple of 21? False Let g(v) = -v**3 + 10*v**2 - 9*v - 9. Let m(p) = 14*p**2 - p + 22. Let s(w) = -5*w**2 - 7. Let c(l) = 6*m(l) + 17*s(l). Let a be c(-7). Is 22 a factor of g(a)? False Let h be 0/129 + (-6)/(-2). Suppose -3195 = -3*b + 645. Suppose -h*t + b = 5*t. Does 20 divide t? True Is 26 a factor of (-260)/15*(-11 - (11 - -140))? True Suppose 16*u - 744761 + 15500 = -104429. Is u a multiple of 113? False Let j = -4 - -2. Let b(l) = l - 163 + 86 + 0*l**3 + 76 - l**2 - 9*l**3
{ "pile_set_name": "DM Mathematics" }
-0.4 0.16448 -0.004*-4652 18.608 What is the product of 0.5 and 20.2279? 10.11395 7 times 388011 2716077 Multiply -19727 and 14. -276178 What is the product of -0.77 and -4.52? 3.4804 Calculate 0.4*21.5. 8.6 Calculate 0.3*-6410. -1923 -37 times 93 -3441 -0.3 * 0.0543706 -0.01631118 31 times 19228 596068 Multiply -8777 and -138. 1211226 What is the product of 3304 and -0.12? -396.48 Work out 4 * -10595. -42380 -279352 * 0.6 -167611.2 Product of 531 and 0.0956. 50.7636 Multiply -7091 and 0.1. -709.1 746 times -0.2028 -151.2888 -1 times -1.8658 1.8658 78.7 times 8.8 692.56 0.2*195 39 What is -0.2 times -395779? 79155.8 Multiply 1213848 and -0.3. -364154.4 What is -0.56214 times -3.1? 1.742634 Product of -1230.6 and 90. -110754 0 * -0.226052 0 Multiply 12 and 0.33559. 4.02708 Multiply -956 and 0.16. -152.96 Multiply -17003 and -0.3. 5100.9 -1*1.48538 -1.48538 Calculate -20*720. -14400 Multiply 3 and -18381. -55143 Work out -6 * -128026.4. 768158.4 Work out 0.5 * 11840. 5920 17851*-58 -1035358 What is the product of -0.05 and 45817? -2290.85 Multiply 407 and -3.85. -1566.95 What is 7.8 times -179.91? -1403.298 0.05017 * -4 -0.20068 Calculate 191.8*171. 32797.8 3 * -0.66782 -2.00346 -879 * -0.546 479.934 -0.25 * 11938 -2984.5 -4*-16.072 64.288 Calculate 752*-110. -82720 Multiply 0.0763698 and -2. -0.1527396 1.1042 * -2.1 -2.31882 -1 times 24382 -24382 What is the product of 98.7 and -907? -89520.9 -285 times 0.24 -68.4 Work out -0.4 * 908714. -363485.6 What is the product of 9 and -185091? -1665819 Calculate 0.11296*-2. -0.22592 Work out 2 * -0.44569. -0.89138 Product of 1726.28 and -5. -8631.4 What is the product of -0.5 and -1080.1? 540.05 Calculate 5*1591.3. 7956.5 Work out -133244 * -0.1. 13324.4 Product of -5 and 0.60293. -3.01465 What is the product of -8.9618 and 0.5? -4.4809 -521784 times -3 1565352 Multiply -178396 and -0.1. 17839.6 What is 4 times -645.2? -2580.8 -5 times -0.40911 2.04555 Product of 19 and -1748.7. -33225.3 What is the product of -565 and -1722? 972930 What is 7 times 4978.9? 34852.3 Multiply -424279 and -5. 2121395 Work out 299.9 * -2. -599.8 Product of 10114 and 1. 10114 0.06205 times 14 0.8687 Multiply -2.6 and 20275. -52715 Calculate -24.65*1709. -42126.85 Product of 0.7 and 18804. 13162.8 -0.02 times 156648 -3132.96 Work out 1.7 * -21.01. -35.717 Work out 149314 * 0.5. 74657 Work out -0.018765 * 1. -0.018765 Multiply 0.79 and 4.52. 3.5708 Work out -452 * 206. -93112 Work out 2.08 * 4.371. 9.09168 -26 * -5906 153556 -269075 times 1 -269075 Calculate -0.0067087*0.4. -0.00268348 0.35545 * 0.1 0.035545 Work out 0.49 * -22.2. -10.878 Calculate 0.054*1386. 74.844 What is -4 times -1796? 7184 Product of -52.922 and 1. -52.922 Calculate -4*1.6023. -6.4092 Multiply -243 and 14.5. -3523.5 602 * 100 60200 What is -1.8 times 823.3? -1481.94 What is -11719 times 55? -644545 1 times -1160984 -1160984 Product of -74 and -724. 53576 What is -506 times 338? -171028 Work out -3007 * 127. -381889 Product of -51.9 and 1.805. -93.6795 Calculate -0.0406*85. -3.451 -125 * -8.1 1012.5 -0.06*83.07 -4.9842 Calculate -8190*18. -147420 What is the product of 922 and 71? 65462 -0.9 times 0.050731 -0.0456579 What is 2770261 times -1? -2770261 Work out -0.3 * 94. -28.2 What is 0.2 times 8.2331? 1.64662 Product of -6.73 and 20.26. -136.3498 Calculate -24830*-1. 24830 -0.1242*-9.8 1.21716 Calculate 582.675*3. 1748.025 -3*-40.936 122.808 -2450*0.15 -367.5 Multiply 1 and 264980. 264980 Calculate -2*139442. -278884 -21360 times -0.2 4272 67 * -16.36 -1096.12 Product of -389 and -185. 71965 Product of -7.05 and -90. 634.5 -7 * 11483 -80381 0.482*460 221.72 What is -5 times 7501? -37505 -5273122 times -0.5 2636561 Calculate -0.1*4519. -451.9 Product of 2 and 52389. 104778 Work out 0.4818 * -16.6. -7.99788 What is -1.53329 times 5? -7.66645 Product of 57007 and 5. 285035 -5.574 times 1.62 -9.02988 Calculate 4.54*23. 104.42 What is 1184 times -5111? -6051424 27037 * 0.1 2703.7 What is the product of -120 and 79? -9480 What is -38618 times 0? 0 1205.5 times 5 6027.5 Calculate 10.4*1858.4. 19327.36 2496.2 times -3 -7488.6 What is the product of -0.7 and 133094? -93165.8 What is 0.03 times 542.9? 16.287 Multiply -55 and 0.26. -14.3 What is -0.099
{ "pile_set_name": "DM Mathematics" }
5*a - i = 0, -3*b + 7*a = 10*a + 3 for b. -3 Let c be (-25)/(-7) - 6/(-84)*6. Let i be (c - 5)/(2/(-2))*1. Solve 2*t - i = x, -4*x + 28 = 4*t + 8 for x. 3 Suppose 34*b = 47*b + 312. Let k be ((-19)/((-57)/b))/(-4 - -2). Solve k*p = u + 19, 3*p - 3 = 3*u + 9 for u. 1 Let a(c) = -2*c**3 + 42*c**2 + c + 40. Let o be a(21). Suppose 231 - o = 10*y. Solve y = -5*m + 5*q - 18, 2*m + 3*q = -4 for m. -5 Let b(w) = 11*w - 53. Suppose -32 = 9*u - 77. Let z be b(u). Solve 4*q + j = 2, -z*q + 6*q - j - 6 = 0 for q. 1 Suppose -4*k + 5 = -19. Let s(a) = a**2 - 5*a - 1. Let g be s(k). Let b = -9 + 13. Solve 3*z - 4*x - 11 = -0*x, g*z - b*x = 5 for z. -3 Suppose 78*c + 210*c = 612 + 252. Solve -h - 5*g = -18 + 7, 5*g = -3*h + c for h. -4 Let f be (-415)/(-10) + (-1)/(-2). Let v(l) = 2*l**3 - 18*l**2 - 25*l + 11. Let d be v(10). Let k = d + f. Solve 0 = -t + 2*r - 9, 20 = k*t + 2*t + 3*r for t. 1 Let l be 34/((((-36)/66)/(-3))/(8/88)). Solve j - 11*k = -13*k + 1, 0 = -7*j - 2*k - l for j. -3 Let f = -14 + 26. Suppose 26 = 21*o - 58. Suppose -q = -4*g + 17, 4*q - q + 11 = 4*g. Solve -f = -o*s - 3*z + 4*z, q*z = -s + 3 for s. 3 Let k be (-2)/7 + (-1035)/(-21). Let p(m) = m**3 + 5*m**2 - m - 12. Let f be p(-5). Let i be (2/f + (-35)/k)*-1. Solve 4*l = q - i - 8, -l = 4*q - 19 for l. -1 Suppose 1013*u = 1003*u + 50. Solve -4*s = 3*w, -u*s + 0*w = -w for s. 0 Suppose 3*g + 4*x - x - 21 = 0, -2*x = -3*g - 4. Let f be (g/1)/(1 + 1). Let l = 4 + -4. Solve -4*z + 24 = 4*y, l = -z - 2*y + f + 7 for z. 4 Let x be ((-24)/(-18))/(4/9). Let y(u) = -9*u + 28. Let j be y(x). Suppose 5*g + p - 4*p = 18, 0 = g + 4*p + j. Solve -g = 2*r + n, 8 = -4*r - 0*r - 4*n for r. -1 Let a = 177 + -175. Let f be 68/(-6)*3/(-2) + 0. Let q = 11 + -7. Solve x - f = q*c - 9*c, -a*x + c + 1 = 0 for x. 2 Suppose -5*c - s + 15 = 0, 2*c + 225*s = 228*s + 23. Solve -c*v + 25 = -5*r, 3*v + 3*r + 2 = -13 for v. 0 Let n be (7 + -6)*(-1 - -1*14). Suppose 0 = -w + 2*p - 1, 5*w - n = 3*p + p. Suppose 3*f = w*f - 8. Solve -5*k - 6 = 4*g - f, -4*k = g + 6 for g. 2 Let r(y) = 10*y**3 + 60*y**2 + 4*y + 34. Let i be r(-6). Solve 0 = 3*k - 2*a - i, 4*a + 10 = -49*k + 50*k for k. 2 Suppose -5*q = 25, -5*y - 92*q + 90 = -96*q. Solve -12*w - 6 = -m - 11*w, 5*w = m - y for m. 4 Let t(g) = g**3 - g**2 - 75*g + 157. Let y be t(2). Solve 79*d - 76*d + 7 = -5*o, o = -3*d - y for d. -4 Let r = -297 + 302. Let x be (-2)/8 - 338/(-8). Suppose -4*t + x + 1 = -5*s, 6 = -2*s. Solve -i + 1 = -3*d + t, r*i - 8 = -4*d for d. 2 Let r = -106 + 156. Suppose -2*l + 3*g + 12 = -0*g, l = 5*g + 6. Suppose l + r = 8*c. Solve -3*j - 35 = 4*t - c, -12 = 3*j for t. -4 Suppose 4*x - 8*x = 5*s - 19, -x - 3*s + 3 = 0. Solve 23*j + 12 = 27*j, n - 3*j = -x for n. 3 Suppose 11*l = 2*j + 13*l, 5 = -3*j - 4*l. Solve -4*a - z = -3*a - j, 4*a = z + 15 for a. 4 Let w(u) = -92*u + 98. Let t be w(1). Solve -4*j = -3*o - 8, -t*j - o + 8 = -2*j for j. 2 Suppose 29*x - 200 = 19*x. Suppose -4*s = 2*h, 3*s = 4*h + 9 - x. Solve 0*a + 2*w + 6 = -a, 0 = -h*w - 6 for a. 0 Let u = -2 + -1. Let k = u - -7. Let s be 8*((-105)/(-40) - (0 + 2)). Solve s*i - n = -20, -k = i - 0*n - 2*n for i. -4 Let c be 6/4*(-270)/(-81). Suppose 5*t - 2*d - 78 = 0, -43 = -36*t + 33*t + c*d. Solve 0 = -5*x + 5*q + 9 - 4, t = x - 4*q for x. -4 Let b(n) = 10*n**3 - 341*n**2 + 31*n + 119. Let k be b(34). Solve -k = -5*x - 4*m, -107*x = -111*x - m + 7 for x. 1 Let g be (8 - 29/4)*4. Solve -g*a - 1 + 5 = -4*r, 3*a - 1 = r for r. -1 Suppose 5*h = 42*i - 47*i + 25, 0 = -3*i + 6. Solve 0 = h*b - 3*f, b - 5*b - 3 = -3*f for b. -3 Let k(o) = o**3 + o**2 - 31*o + 9. Let d be k(5). Solve 10 = -3*b + 52*c - 53*c, 4*b = d*c + 8 for b. -2 Let v(i) = i + 2. Let t(c) = 38. Let h(w) = 3*t(w) + 6*v(w). Let z be h(-21). Solve -2*d = -5*r + 7, -4*d = 4*r - z*d for r. 1 Let w(l) = l**2 - 4*l + 3. Let j be w(4). Suppose -5*v
{ "pile_set_name": "DM Mathematics" }
. Suppose 2*x - 5*h - 13 = 23, 2*h - 24 = -4*x. Suppose j + x = -j. Sort -0.2, j, u in ascending order. j, -0.2, u Suppose 0 = v - 5*v + 132. Let r be (-2 - (-237)/v) + 2/(-11). Sort 8, r, -2/5, -4 in ascending order. -4, -2/5, r, 8 Let a(d) = 10 - 13*d + 4*d - 11*d**2 + 4*d**3 + 6*d**3 - 11*d**3. Let b be a(-10). Let k be ((-8)/(-12))/((-2)/15). Sort -2, b, k in ascending order. k, -2, b Suppose -4 = 4*t - 4*v, 4*t + 13 = -0*t + v. Suppose -k + 13 = -5*b, 3*b - 2*k = k - 15. Put 0, b, t in ascending order. t, b, 0 Let a = -222 - -221. Sort a, 13, -5, 4 in ascending order. -5, a, 4, 13 Let a be (1 + -1)/(-3 + 1). Let g = 4 - a. Sort 0.14, g, 5 in ascending order. 0.14, g, 5 Suppose -6*m = -376 + 490. Put 2, m, -5 in increasing order. m, -5, 2 Let t be 4/(208/(-155)) - -3. Let u = t + -107/156. Put -0.7, u, 0 in ascending order. -0.7, u, 0 Suppose 128*s = 123*s + 5*v + 10, -5*v = -3*s + 14. Put -3, -4, s, 2 in decreasing order. 2, s, -3, -4 Let n(u) = u**2 + 5*u + 7. Let b be n(3). Suppose 5*v + 14 + b = 4*y, 4*v = -4*y. Sort 4, 1, -2, y in decreasing order. y, 4, 1, -2 Let l be 17/(-3) + (-35)/(-7). Put 0.2, -1/26, l in decreasing order. 0.2, -1/26, l Let r(v) = -3*v**2 - 27*v + 2. Let i be r(-9). Sort i, -4, 1, -3 in decreasing order. i, 1, -3, -4 Let i(y) = -y**2 - 6*y - 6. Let z be i(-4). Let s = 126 + -87. Suppose -13*k = -0*k + s. Put 0, z, k in descending order. z, 0, k Suppose 3*m + 9 = 0, -6 = 2*k - 0*m + 4*m. Put k, 0, 5, -6 in decreasing order. 5, k, 0, -6 Let b(k) = -k**2 - 4. Let l be b(-2). Let v be 0 + -2 - (l + (12 - 4)). Sort 6, v, 5, -1 in descending order. 6, 5, -1, v Let a = 0.1472 + -0.0472. Sort 3/2, a, -0.09, 3/4 in ascending order. -0.09, a, 3/4, 3/2 Let u = 1 - -8. Suppose 3 = 3*a - u. Suppose -a*s + 57 = 4*k - 3, -s = 1. Put -5, k, -2 in increasing order. -5, -2, k Let r be 10/4 - (2 + 0). Let u be (-20)/(-80) + 22/8*1. Put r, -0.06, u, -1 in descending order. u, r, -0.06, -1 Let b(s) = -s**3 + 5*s**2 - 4*s - 5. Let x be b(4). Let i = -8 + x. Let m = 14 + i. Put m, -3, 3 in descending order. 3, m, -3 Let i = 4 + 1. Suppose -h + 0 = i. Let y be 2 - (h - (-4 - -2)). Sort 2, 4, y in increasing order. 2, 4, y Let w be ((-840)/(-224))/(3/16). Put -2, 7, w in increasing order. -2, 7, w Let s be 4 + ((-1)/(-1) - 8). Let p be (-5)/4*(-8)/2. Sort s, p, -4 in descending order. p, s, -4 Let w = 292 + -872/3. Put -88, w, 2/11 in decreasing order. w, 2/11, -88 Let v = -1509/4 + 376. Put -2/9, 139, v in ascending order. v, -2/9, 139 Let u = -3161 + 2270. Put u, 3, 2, -2 in decreasing order. 3, 2, -2, u Let z(w) = -w**2 + 22*w + 51. Let c be z(12). Let m = c - 170. Let v be (-3)/(-9) - (-32)/(-6). Sort 0, v, m. v, 0, m Let u be -3*((-12)/9 - 2). Sort 0, u, -3 in increasing order. -3, 0, u Let i(x) = -x**3 - 14*x**2 - 34*x - 14. Let f be i(-11). Sort 5, f, -22 in decreasing order. 5, f, -22 Let d = 1.655 + -0.655. Put -5, 14, d in descending order. 14, d, -5 Let c = -21.2 + 21. Let x = 114 + -123. Sort 2/13, x, c in decreasing order. 2/13, c, x Let r = -4 + 2. Let j be (-2)/(15 - -1)*(6 + -4). Sort j, r, -4 in ascending order. -4, r, j Let w(v) = 1 - 7*v + 2 + 9*v. Let c be w(-5). Let x = c + 5. Sort x, -0.2, -1 in ascending order. x, -1, -0.2 Let x = -30 - -13. Let l = x - -18. Let a = -2.9 + 3. Sort l, -3/7, a in descending order. l, a, -3/7 Suppose -5*l = 5*r + 30, r + 3*l - 13 = -27. Put -3, r, -43, 0 in descending order. 0, r, -3, -43 Let p = 2 - 2. Let d = 725 - 726. Let s = 0.9 - 1. Sort p, s, d in increasing order. d, s, p Let j = 625 - 622. Put j, 53, -1 in descending order. 53, j, -1 Let n = 67.9705 + -0.0405. Let i = n - 68. Put -1/7, i, -2 in descending order. i, -1/7, -2 Let w(u) = -3*u - 11. Let q be w(-4). Sort 4, 5, -4, q in decreasing order. 5, 4, q, -4 Let b(u) = u**3 - 16*u**2 + u - 18. Let n be b(16). Let t = 476/3 + -160. Put 3/2, t, n, 2 in ascending order. n, t, 3/2, 2 Let n = -0.453 + 0.253. Let j(f) = -6*f**3 + 2*f**2 - 1. Let l be j(1). Sort 2/5, n, l. l, n, 2/5 Let r be (4/(-39))/((-6)/9). Let g = -4049/5 - -810. Let l be (-2)/(-16) - 2/8. Put r, g, l in descending order. g, r, l Let z(f) be the third derivative of -f**5/60 + f**4/3 - 4*f**3/3 + f**2. Let a be z(4). Let y be -1*(3 - a/3). Sort -2, 0.2, y in increasing order. -2, y, 0.2 Suppose
{ "pile_set_name": "DM Mathematics" }
9 Let k(v) = 49*v**2 - v + 44. Calculate the smallest common multiple of 10 and k(-9). 20110 Suppose -3*v + 960 = -3*n + 5*n, 0 = 5*v - 10. Suppose -24*z = -243 - n. Calculate the lowest common multiple of 55 and z. 330 Find the common denominator of 101/396 and 17 + -19 + -5 - 237/(-24). 792 Let l be 2/(-8) + 159/(-4). Let k = l + 41. Calculate the common denominator of (-267)/126 + k*2/3 and -127/12. 84 Calculate the common denominator of ((351/84)/(-39))/((-4)/(-182)) and 71/980. 1960 Let g be (4762/33)/(12/288). Let x = g + -3466. Calculate the common denominator of -4/5 and x. 55 Let q be 6/(-9)*(-3972)/8. Let t = 335 - q. Calculate the lowest common multiple of 22 and t. 44 Let k(d) = -d - 2. Let v be k(4). Let f = v + 11. Let u = -1216 + 1217. What is the least common multiple of u and f? 5 Let l be (-2)/8 - ((-296)/32 - -6). Suppose 3*h + 0 + 6 = 0, -52 = -l*g + 5*h. Calculate the least common multiple of g and 88. 616 Let h = -1311 - -675. What is the common denominator of -41/8 and ((-1)/(-168))/(9/h)? 504 Let m = 588/5 - 3043/30. Calculate the common denominator of 137/1014 and m. 1014 Let w = 190937 - 84775907/444. What is the common denominator of 43/9 and w? 1332 Suppose 0*h - 5*h = -r - 4211, h = -2*r - 8477. Let u = 42427/10 + r. Calculate the common denominator of 79/10 and u. 10 Calculate the least common multiple of 27 and ((-6)/75)/(20/(-62950)) - 2/(-10). 756 Calculate the common denominator of (-43580)/(-16104) + (-200)/75 and -13/732. 8052 Suppose 8*c = -295 + 55. Calculate the common denominator of 329/c + (-2)/6 and ((-226)/(-6))/((-760)/(-6)). 380 What is the least common multiple of (4/40*-18)/((-33)/1485) and 81? 81 Let t = -3408 + 3432. What is the smallest common multiple of 72 and t? 72 Let k = 15567/8 - 194547/100. Find the common denominator of k and -37/550. 2200 Suppose -8*q + 12 = -2*q, -4*k = 5*q - 26. Calculate the common denominator of 2/k*1363/87 and 23/12. 12 Let z be (6/(-9))/((-8)/60). What is the lowest common multiple of ((-2)/7)/((-150)/35 + 4) and (-228)/(-20) + (-2)/z? 11 Let q(l) = -l**3 + 31*l**2 - 23*l - 70. What is the lowest common multiple of 224 and q(30)? 1120 Let j = 3286969/5159565 - 1/38219. What is the common denominator of j and 85/42? 1890 Find the common denominator of -57/55754 and (2/21)/((-40)/7910). 167262 Let j = 8379 + -7874. Calculate the least common multiple of j and 909. 4545 Let u = -97 - -103. Suppose 2*b - 40 = -3*y, -y = -u*y + b + 58. What is the lowest common multiple of 8 and y? 24 Let v = -1988804714/440847 + 3029905/671. Let n = v - -1/657. Calculate the common denominator of n and (-118)/(-767) - 905/52. 44 Suppose 196*z + 84*z = 95480. Calculate the lowest common multiple of z and 775. 8525 What is the common denominator of -7 - (73/(-1752))/((-8)/(-1357)) and -37/704? 2112 Let a(t) = -t**3 + 46*t**2 + 56*t - 421. What is the smallest common multiple of 7 and a(47)? 14 Let l = 8248/9 - 917. Calculate the common denominator of l and 29/(-51) - (-6 - -6). 153 Suppose -2*k = 3*o - 13, 5*k = o - 6*o + 25. Calculate the common denominator of (-33)/22*110/(-6) and 280/16*(5/k)/(-5). 4 Let l be 1776/(-590) + 4 + -1. Let i = l + 10957/4130. Find the common denominator of i and -91/6. 42 Let b = -15004/285 - 3795077/5320. Let k = -5332/7 - b. Calculate the common denominator of -57/8 and k. 24 Let r = -5505 - -5784. What is the smallest common multiple of r and 93? 279 Let o = -203 - -188. What is the lowest common multiple of 3 and 5/(-15)*o*(1 - 0)? 15 Calculate the common denominator of ((-11)/10)/((-6)/4) and (-15*68/1275)/((-78)/110). 195 Let o(i) be the third derivative of 17/24*i**4 + 0*i + 14*i**2 - 2 - 5/3*i**3. What is the lowest common multiple of o(2) and 30? 120 Calculate the lowest common multiple of 60 and 79128/92 + 86/(-989). 2580 Let f(n) = -n**3 - 46*n**2 + 108*n - 1878. Let j(y) = -24*y + 3. Calculate the smallest common multiple of f(-49) and j(-3). 825 Suppose -18*u = -10183 + 841. What is the smallest common multiple of u and 30? 5190 Let o be (10824/15)/(-11)*30/(-4). Calculate the common denominator of 121/60 and (60/1500)/(o/245 - 2). 60 Let b = -4654 + 4657. Calculate the lowest common multiple of 1056 and b. 1056 Suppose 16*w = -h + 19*w - 14, -22 = -2*h - 4*w. Suppose 7*b = 3*b - 5*n - 63, 5*n - 21 = 3*b. What is the common denominator of ((-28)/32)/(h/b) and 67/22? 22 Suppose -5*x + 37144 = 3*n, 2*n = x - 4059 - 3362. Calculate the common denominator of -40/9 and 2/(-11) + (-5 - x/(-2310)). 90 Let d = 574391 - 178486. Let h be 1 + d/(-70) + 1. Let w = 5650 + h. Calculate the common denominator of 119/12 and w. 84 What is the common denominator of ((-9031)/132 - -6)*24/84 and 44/4041? 8082 Let m = 38/4121 + 444173/543972. Calculate the common denominator of m and (-290)/216 - (-1 - 0). 1188 Let b be 0 - (-4 + -2) - -17. Let u be 2/3 + (-8)/12. Suppose 3*y - 3*t = -3, 4*t + 3 - b = u. What is the least common multiple of 21 and y? 84 Let h = 161/5611 + 298318749/44888. Let u = h - 6635. Calculate the common denominator of (30/188)/(1/3) and u. 376 Let a = 15474 + -15420. What is the least common multiple of a and 270? 270 Let w = -158924 + 6993339/44. Let h = -71/4 + w. What is the common denominator of h and 4*1 - (-855)/(-126)? 154 Let q be 1/(-3) + 1496/24. Suppose 55*w + 70 = q*w. Let o(r) = -r**2 + 6*r - 2. What is the smallest common multiple of o(4) and w? 30 Let w be 10*(13/(-2) - -5). Calculate the common denominator of 91/12 and (2/w*7)/((-23)/(-69)). 60 Let b = 44391/21448910 - -3/16
{ "pile_set_name": "DM Mathematics" }
2 + 1520*m - 13383 What is the q'th term of 30454, 58417, 86380, 114343, 142306? 27963*q + 2491 What is the t'th term of -539000, -2156012, -4851032, -8624060, -13475096, -19404140? -539004*t**2 + 4 What is the p'th term of 2571487, 10285928, 23143327, 41143684, 64286999, 92573272, 126002503? 2571479*p**2 + 4*p + 4 What is the k'th term of 56638, 113171, 169696, 226207, 282698? -k**3 + 2*k**2 + 56534*k + 103 What is the k'th term of 12201, 24467, 36749, 49047, 61361? 8*k**2 + 12242*k - 49 What is the k'th term of -2665139, -2665089, -2665029, -2664959? 5*k**2 + 35*k - 2665179 What is the s'th term of 91892, 183033, 274174, 365315? 91141*s + 751 What is the r'th term of 193303, 193300, 193297, 193294, 193291? -3*r + 193306 What is the v'th term of -238852, -477709, -716574, -955447, -1194328? -4*v**2 - 238845*v - 3 What is the r'th term of -2691, -8511, -17463, -29547, -44763? -1566*r**2 - 1122*r - 3 What is the x'th term of -2242994, -2242986, -2242966, -2242928, -2242866, -2242774, -2242646? x**3 + x - 2242996 What is the l'th term of 396251, 396283, 396317, 396353? l**2 + 29*l + 396221 What is the q'th term of -28349, -28656, -28963? -307*q - 28042 What is the y'th term of -63671, -63656, -63631, -63596, -63551? 5*y**2 - 63676 What is the u'th term of 1125, 10446, 35763, 85074, 166377? 1333*u**3 - 10*u - 198 What is the d'th term of 531291, 531255, 531219? -36*d + 531327 What is the b'th term of 5826, 11752, 17724, 23748, 29830, 35976? b**3 + 17*b**2 + 5868*b - 60 What is the w'th term of 5943, 23739, 53371, 94839? 5918*w**2 + 42*w - 17 What is the i'th term of -3645, 3980, 24681, 64998, 131471, 230640? 1090*i**3 - 2*i**2 + i - 4734 What is the p'th term of -187, -606, -927, -826, 21, 1938, 5249, 10278? 54*p**3 - 275*p**2 + 28*p + 6 What is the s'th term of -100677, -201869, -304069, -407781, -513509? -84*s**3 - 100604*s + 11 What is the a'th term of 5676, 5978, 6326, 6744, 7256, 7886? 4*a**3 - a**2 + 277*a + 5396 What is the w'th term of 2518, 8040, 16568, 28102, 42642? 1503*w**2 + 1013*w + 2 What is the g'th term of 223791, 447843, 671893, 895941, 1119987? -g**2 + 224055*g - 263 What is the c'th term of -152522, -152529, -152536, -152543, -152550? -7*c - 152515 What is the s'th term of 378, 772, 1278, 1896? 56*s**2 + 226*s + 96 What is the l'th term of -795862013, -1591724027, -2387586041? -795862014*l + 1 What is the i'th term of 53634003, 53634001, 53633999, 53633997, 53633995, 53633993? -2*i + 53634005 What is the q'th term of 7048600, 7048605, 7048610? 5*q + 7048595 What is the y'th term of -271, -182, 89, 632, 1537, 2894, 4793? 15*y**3 + y**2 - 19*y - 268 What is the s'th term of 251996, 503756, 755516, 1007276, 1259036? 251760*s + 236 What is the t'th term of 18354, 73568, 165610, 294480, 460178? 18414*t**2 - 28*t - 32 What is the t'th term of 37390487, 74780988, 112171489, 149561990, 186952491? 37390501*t - 14 What is the g'th term of -48832050, -97664106, -146496162? -48832056*g + 6 What is the t'th term of 4724, 9488, 14322, 19226? 35*t**2 + 4659*t + 30 What is the i'th term of -2510637, -5021275, -7531913, -10042551? -2510638*i + 1 What is the f'th term of -52040, -52110, -52194, -52298, -52428, -52590, -52790? -f**3 - f**2 - 60*f - 51978 What is the h'th term of 521686, 521692, 521700, 521710, 521722, 521736, 521752? h**2 + 3*h + 521682 What is the q'th term of -7449, -9659, -11867, -14073, -16277, -18479? q**2 - 2213*q - 5237 What is the y'th term of -359565, -719140, -1078715, -1438290, -1797865, -2157440? -359575*y + 10 What is the i'th term of -643, -1075, -1361, -1507, -1519, -1403? -i**3 + 79*i**2 - 662*i - 59 What is the d'th term of 308240, 307784, 307326, 306866? -d**2 - 453*d + 308694 What is the w'th term of -730, -1552, -2464, -3466? -45*w**2 - 687*w + 2 What is the f'th term of 474616, 1898755, 4272418, 7595605, 11868316, 17090551? 474762*f**2 - 147*f + 1 What is the d'th term of 25640, 25549, 25414, 25235? -22*d**2 - 25*d + 25687 What is the z'th term of -472, -400, -296, -166, -16? -z**3 + 22*z**2 + 13*z - 506 What is the j'th term of -91215, -91258, -91301, -91344? -43*j - 91172 What is the s'th term of 21795, 27242, 36319, 49026, 65363, 85330, 108927? 1815*s**2 + 2*s + 19978 What is the f'th term of 10786200, 21572409, 32358628, 43144863, 53931120, 64717405? f**3 - f**2 + 10786205*f - 5 What is the w'th term of 2267, 4432, 6599, 8762, 10915, 13052, 15167? -w**
{ "pile_set_name": "DM Mathematics" }
(-8)/(-10) - 3/(-15). Let a(q) = 2 + 4*q + q**2 + s + 2. What is a(-5)? 10 Suppose 4 = 4*d + 4*l, -4*d - 5*l + 3 - 4 = 0. Let k(y) = y**3 - 7*y**2 + 8*y - 7. Determine k(d). 5 Let d(z) = z - 1. Suppose 2*m = 3*k - 64, 0*m - 3*m = 3*k - 84. Let q = k + -22. What is d(q)? 1 Let g(k) = 2*k**2 + 5*k**2 - 6*k**2. Let z be g(-1). Let c(m) = m**3 - m + 1. What is c(z)? 1 Let g be -7 + 14 + (0 - 3). Suppose 5 = -g*r + 3*r. Let f(p) = -p - 1. Determine f(r). 4 Let r(m) be the third derivative of -m**5/30 - m**4/24 + m**3/6 + 7*m**2. Calculate r(2). -9 Let v(j) = -3*j - 3. Let y(w) = -w + 1. Let t(m) = -2*v(m) - 6*y(m). Let i = 14 + -4. Suppose -4*r = 3*k - i, -5*r + 8*r + 5*k = 13. Give t(r). 12 Let s be 5 - 2 - (0 + 1). Let j(v) be the third derivative of v**5/120 - v**3/3 - 2*v**2. Let o(k) be the first derivative of j(k). Calculate o(s). 2 Suppose -4 = -2*t - 5*s + s, t + 4*s = 0. Let p(x) be the third derivative of -x**4/12 + x**3/6 - 2*x**2. What is p(t)? -7 Suppose -6*k = -2*k - 112. Suppose 0 = 6*t - 4*t + 2*f - 16, 2*t - k = -5*f. Let l(n) = 0*n + t + 0*n + n - n**2. Determine l(4). -8 Let s(p) be the first derivative of p**4/4 + p**3 - 5*p**2/2 - 13. Give s(-4). 4 Let t(c) = -c + 2. Let u(p) = p - 2. Let m(q) = -3*t(q) - 4*u(q). Give m(-3). 5 Let a = 117 + -123. Let j(d) = -d**3 - 6*d**2 - 2*d - 9. Determine j(a). 3 Let r(a) = -a**3 - 6*a**2 - 4*a + 7. Suppose 0 = -4*s + 3*s - 5. Give r(s). 2 Suppose -3*q + 15 = 2*z, -7*q = -3*z - 2*q - 25. Let r(a) = -3*a**2 + 3*a - 4. Let t(o) = -16*o**2 + 16*o - 21. Let c(d) = 11*r(d) - 2*t(d). Calculate c(z). -2 Let n(y) = -y**3 + y**2 - 3*y + 3. Let g be n(1). Let m(k) = -k + 2. Give m(g). 2 Let d(n) = n**3 + 2*n**2 + 6*n. Let s(r) = -2*r**3 - 6*r**2 - 17*r + 1. Suppose 4*h - 28 = -q + 5*q, -h = 3*q - 11. Let m(g) = h*d(g) + 3*s(g). Give m(2). 5 Let p(h) = -h - 1. Let u(c) = c**2 - 1. Let j(a) = p(a) - u(a). Let d = 4 - 2. Suppose -12 = d*s + 2*s. Calculate j(s). -6 Suppose 1 = -2*z + 5*k - 8, 4*z - 9 = k. Let y(x) = -x. Let t(l) = 1. Let n(r) = -2*t(r) - y(r). Calculate n(z). 1 Suppose 0 = 3*j - 3*u - 6, 3*j + 2*u - 24 = -u. Let i(v) = v**3 - 5*v**2 - 2*v - 3. Determine i(j). -13 Let u(x) be the third derivative of 3*x**2 + 0*x + 0*x**3 - 1/60*x**5 + 0 + 1/8*x**4. Calculate u(4). -4 Let n(l) = l**3 + 2. Let a = 11 - 13. Give n(a). -6 Suppose 0*s - 2 = -s. Let y(l) be the first derivative of 1/3*l**3 - 1 + 3*l**s + l. Give y(-4). -7 Let h be 1/1 + 9 + -9. Let b(x) = 11*x. Determine b(h). 11 Let k(r) be the third derivative of r**6/120 - r**5/12 - r**4/12 + r**3/2 + 8*r**2. Calculate k(5). -7 Let w(u) = -2*u + u + 4*u. Let o(g) = g. Let y(i) = -7*o(i) + 2*w(i). What is y(-5)? 5 Suppose 2*p + 0*p = 0. Suppose 4*x + v = p, -8 = -4*x + 2*v - v. Let b(j) = 9*j - 1. Calculate b(x). 8 Suppose 3*m - 6 = -3*v, -v = 3*m + m - 8. Let j(h) = -6 - m*h + 13 - h + 5*h. Let x = 4 - 9. Determine j(x). -3 Let c(m) be the third derivative of 0 + 3*m**2 - 1/12*m**4 + 0*m - 1/3*m**3. Let s(d) = -d + 2. Let u be s(5). Calculate c(u). 4 Let n(d) be the second derivative of 1/12*d**4 + 0*d**3 + 3*d + 0 - 1/2*d**2. What is n(-2)? 3 Let z(f) = f**2 - 4*f - 5. Let g(b) = -b**3 - 19*b**2 + b + 25. Let i be g(-19). What is z(i)? 7 Let d(u) be the second derivative of -1/20*u**5 - 4*u - 1/12*u**4 + 0 + 5/2*u**2 - 1/6*u**3. What is d(0)? 5 Let p(b) = -4*b - 11. Let x(d) = 5*d + 12. Let g(w) = 6*p(w) + 5*x(w). What is g(3)? -3 Let i(x) = -1 + 83*x - 85*x - 4. Give i(-7). 9 Let z(r) be the first derivative of 2 + r - 1/3*r**3 - 2*r**2. Determine z(-4). 1 Let m(d) = -3*d. Let c be m(-2). Let g(p) = p**2 - 7*p + 5. Calculate g(c). -1 Let g(h) = -5*h**3 + 3*h**2 + 5. Let k(i) = 14*i**3 - 8*i**2 - 15. Let o(v) = 11*g(v) + 4*k(v). Let d = 1 + -1. What is o(d)? -5 Let t(j) be the first derivative of -1/4*j**4 + 4/3*j**3 - j + 1 + 0*j**2. What is t(4)? -1
{ "pile_set_name": "DM Mathematics" }
3095 = -t*b - 73. Is b composite? False Let l(f) = 29*f**2 + 25*f - 249. Is l(10) a prime number? False Suppose 6174 = h - 5*o - 5240, 5*o - 57160 = -5*h. Is h prime? False Suppose 392*p - 3*x - 823592 = 388*p, 3*x = -12. Is p composite? True Let q = 46384 + 13449. Is q prime? True Let s = 25 + -23. Suppose 2763 = -4*r - f + 369, s*f + 2991 = -5*r. Let c = r + 981. Is c a prime number? False Suppose 1227 + 6767 = 7*z. Suppose 40*i = 42*i - z. Is i/4 + (-8)/(-32) a prime number? False Let n = 1088904 + -738751. Is n prime? False Let z = -241937 - -362306. Is z prime? False Suppose -4*j = -8*j + 608. Let p = -338 + 340. Suppose -p*y + 12 = -j. Is y a prime number? False Suppose -18*f - 20*f - f = -844233. Is f a prime number? True Is 877*((-212)/(-4) - (-4 + 4)) prime? False Is 971866/35 + 1 + (-115)/25 + 5 a composite number? True Suppose 3*k - 2*t = -8491 - 3368, -15792 = 4*k + 4*t. Let u = k + 7730. Is u prime? True Suppose -3*a = 4*h - 145029, 240028 = 4*a + 3*h + 46649. Suppose 14*f - a = f. Is f a composite number? False Let w(q) be the third derivative of -q**4/24 + 29*q**3/6 - 19*q**2. Let x be w(25). Suppose -a = x*i - 5135, 2*a = -9*i + 10*i - 1295. Is i prime? False Suppose -2*u = -852*a + 856*a - 75822, u - 2*a = 37911. Is u composite? True Let w(s) = s - 14. Let p be w(19). Suppose -2*l + 2174 = p*x, -1747 = -3*x - x + l. Let k = x + -201. Is k prime? False Let o(m) = 2*m**2 + 11936 - 4*m - 6271 + 20434 - 11*m. Is o(0) composite? False Let p(z) = 4640*z + 36. Let i be p(8). Let j = i - 23321. Is j a prime number? False Let v be (-32)/20*(-15085)/14. Let r = 2631 - v. Is r prime? True Let w = -910617 - -2348478. Is w composite? True Let v(b) = b**2 - 7*b + 2. Let w be -2 + -4 + (-1 - -7). Let g be v(w). Suppose 3*m + 5300 = 3*x + 2*m, 0 = -g*m - 4. Is x prime? False Let a = -282281 + 458170. Is a a prime number? False Suppose 0 = 20*l - 15*l + 620. Let n = 126 + l. Is -4 + n - (-4216 + (-6)/(-2)) prime? True Let a be 94 - ((8 - 9) + (-3)/3). Suppose 0 = c - a - 403. Is c a prime number? True Suppose 0 = g - 13*j - 305265, 6*g + 915877 = 9*g + 2*j. Is g composite? True Let c(z) = -2*z**2 + 4*z**2 + 3*z + 39*z**2 - 7. Let r = -856 + 859. Is c(r) composite? True Let r = 825745 + -485034. Is r a composite number? True Suppose 5*l + 2*m = 111663, -2*l + 12*m - 7*m + 44671 = 0. Is l a prime number? False Suppose 5*f + 350400 = -15*f. Is 2/(7 - f/(-2503)) composite? True Suppose -6*i + 103 + 41 = 0. Suppose -9 = -2*o - h, 2*o - 5*h + i = 5*o. Suppose o*j = v + 3*v + 3101, 0 = 3*j - 2*v - 3091. Is j composite? True Suppose -32*l + 15*l + 9*l = -1603704. Is l a prime number? False Suppose -70495*q + 70493*q = -3969958. Is q prime? True Let a(x) = 209*x + 5. Let d be a(2). Suppose 4707 = 3*r - d. Suppose -226 + r = 4*g. Is g prime? False Suppose 0 = 8*m - 503219 - 423909. Is m a composite number? False Let x = 19 + -16. Suppose -x*m + f = -2848, m - 6*m + 5*f = -4730. Let s = m + -214. Is s a composite number? True Let g(k) = 169*k**3 - 2*k**2 + 159*k**3 + 174*k**3 - 12 - 165*k**3 + 13*k - 17. Is g(3) prime? True Let b(a) = 176*a - 2325. Is b(59) composite? False Let g = 786 - 1858. Let i = 1111 - g. Is i a composite number? True Let b(w) be the first derivative of -11*w**4/12 - 9*w**3/2 + 3*w**2/2 - 2. Let p(u) be the second derivative of b(u). Is p(-7) a prime number? True Let l(y) = 5*y - 47. Let s be l(9). Let c be s + 4/8*(0 - 0). Is (-1 + c - 2) + 300 a composite number? True Suppose 2*g - 3*o - 1629 = 0, -5*o + 7*o = 6. Let b = -512 + g. Is b a prime number? True Suppose 73 = 2*u - w, 96 = 2*u + u + 3*w. Is 717 + u/(-70)*(-3 + -1) a composite number? False Let m = -785724 - -1317005. Is m composite? False Let f = 475 - 473. Is (-4768085)/(-805) - f/23 composite? False Let p(c) = 182*c**2 + 14*c - 109. Is p(14) a prime number? True Suppose 16 - 28 = -6*s. Suppose -4*r - s*k + 24185 = r, 0 = -5*k. Is r composite? True Is (90955/120*16)/(1 - (-2)/(-6)) prime? True Suppose -31*f - 12202126 = -293*f. Is f prime? True Let m be ((-108)/16 - (-4)/(-16))/(-1). Suppose m*b = -2*w + 5*b + 2, 5*w + 2*b = 2. Suppose 4*t + w*t = 5276. Is t prime? True Suppose -30 = -2*n - 3*n. Let c(f) = 2 - n + 2 + 343*f. Is c(3) a prime number? False Is (-189)/(-42) + -4 + (-450493)/(-2) a prime number? False Let f = -554 - -4251. Is f composite? False Let x = 5898 + 8004. Suppose -j = -7*j + x. Is j prime? False Let z = 1662752 + -797071. Is z a prime number? True Suppose 18*t = 15*t + 342. Let a be (2/(-4))/((-19)/t). Suppose 0 = -4*i - v + 15, v + a = -i + 3*v. Is i a composite number? False Suppose 3*o + j - 323945 = -18095, 713645 = 7*o + 4*j. Is o composite
{ "pile_set_name": "DM Mathematics" }
7 Solve -447 - 259 - 479 = -237*n for n. 5 Solve 0 = -30*v - 3621 + 1876 + 1955 for v. 7 Solve -90*u = -110*u + 20 for u. 1 Solve 477 = -113*i + 272*i for i. 3 Solve 0 = -26217*l + 26237*l + 260 for l. -13 Solve 468*a - 3299 = 4189 for a. 16 Solve 2*i - 1022 = -125*i + 273*i for i. -7 Solve 218*c - 4578 = -1308 for c. 15 Solve -97*o = 48*o + 295*o - 12760 for o. 29 Solve 340*c = 1854 - 1174 for c. 2 Solve -19*n - 8*n = 2*n - 261 for n. 9 Solve 1144*c - 94 = 1238*c for c. -1 Solve -370 = -6*x - 400 for x. -5 Solve 319*c - 842 = 75*c - 4502 for c. -15 Solve -4*q + 32*q - 179 = 353 for q. 19 Solve -11105*i + 11118*i = 78 for i. 6 Solve -5*r - 20 - 7 = 3 for r. -6 Solve 818 = -36*x + 1106 for x. 8 Solve -146*t + 257 = -35 for t. 2 Solve -1246 - 1228 = 38*h - 954 for h. -40 Solve -41*q = 1448 - 669 for q. -19 Solve 1408 = -72*f - 16*f for f. -16 Solve -58050*x = -58095*x - 1170 for x. -26 Solve 68*x + 76*x - 1008 = 0 for x. 7 Solve -3427*c + 289 = -3444*c for c. -17 Solve 1174*a + 11477 = 5281 - 27850 for a. -29 Solve -73*n + 25*n + 45 - 717 = 0 for n. -14 Solve -18*u - 70 = -28*u + 20 for u. 9 Solve -116*s + 85*s - 1168 = 42*s for s. -16 Solve -78*j + 121*j + 144*j + 4301 = 0 for j. -23 Solve 0 = 5567*d - 5576*d - 153 for d. -17 Solve -1094*r + 1042*r + 676 = 0 for r. 13 Solve 25*f + 0*f = 45*f - 100 for f. 5 Solve -107*g + 335 - 406 = 999 for g. -10 Solve 5202 = -550*i - 3048 for i. -15 Solve -44*p - 6*p - 33 = -133 for p. 2 Solve -23*o + 52*o - 67 - 136 = 0 for o. 7 Solve 11*r - 128 = 81*r + 152 for r. -4 Solve 389*d - 379*d + 43 = 183 for d. 14 Solve 6*r - 46 = 33*r - 19 for r. -1 Solve 100*r - 1466 = 945 + 789 for r. 32 Solve 1036*n - 28 = 1022*n - 210 for n. -13 Solve 278*a - 16893 + 21341 = 0 for a. -16 Solve 0 = -15*h - 21*h + 432 for h. 12 Solve -325 = 192*w + 635 for w. -5 Solve 2142 = 681*x - 1193 - 751 for x. 6 Solve -4251 = 233*z - 290 for z. -17 Solve 648*l + 16508 = -8116 for l. -38 Solve 36*k = k - 206*k - 4097 for k. -17 Solve 189 = 31*c + 344 for c. -5 Solve -952 = -14*q - 105*q for q. 8 Solve -6*r + 113 = -19*r + 35 for r. -6 Solve 3*d - 228 = -3*d + 18*d for d. -19 Solve 390 = 96*g - 57*g for g. 10 Solve -234*m = -206*m - 311 - 473 for m. 28 Solve -612 = -87*a + 1991 - 341 for a. 26 Solve 6*c - 50 - 56 + 16 = 0 for c. 15 Solve -263*k + 71*k = 29*k - 1547 for k. 7 Solve -4*k + 1 = 24 - 19 for k. -1 Solve -525 = 109*b + 1655 for b. -20 Solve -94144 = 119*t - 3061*t for t. 32 Solve 369*o = 318*o + 153 for o. 3 Solve 458*l - 488 = 163*l - 1373 for l. -3 Solve 14794*l = 14812*l + 414 for l. -23 Solve -1403*v = -1382*v - 168 for v. 8 Solve -6*c = c - 31 - 11 for c. 6 Solve -2069*q + 1387*q + 682 = 0 for q. 1 Solve 0 = 7733*d - 7745*d - 60 for d. -5 Solve -1272 = -108*y - 152*y + 101*y for y. 8 Solve -20*b + 48 = -52 for b. 5 Solve 0 = -24*d + 7*d - 66 - 2 for d. -4 Solve 324*d - 226 = -469 - 1377 for d. -5 Solve 7128*i = 7160*i + 864 for i. -27 Solve 348*a + 1031 = -1057 for a. -6 Solve 3558 = 149*m - 167 for m. 25 Solve 597*g - 9270 = 82*g for g. 18 Solve 47*a + 308 - 66 = -40 for a. -6 Solve -6*o - 308 = 20*o - 724 for o. 16 Solve -3065 = 46*n - 2145 for n. -20 Solve -42*g = -39*g + 27 for g. -9 Solve -38*d - d - 74*d = -339 for d. 3 Solve -1608*k - 130 = -1618*k for k. 13 Solve 73*q - 16*q = 19*q + 380 for q. 10 Solve 2*h + 124 = 54 + 56 for h. -7 Solve -687*r = -160*r + 6131 - 1388 for r. -9 Solve 40387*n = 40409*n + 440 for n. -20 Solve 49669 = 1165*j + 10059 for j. 34 Solve -86*x - 26*x - 334 = 674 for x. -9 Solve 6458 = -30*x + 6008 for x. -15 Solve 22550 = 894*l - 344*l for l. 41 Solve -28*n = -3*n - 200 for n. 8 Solve 217*d - 134*d - 747 = 0 for d. 9 Solve 56*s - 526 + 190 = 0 for s. 6 Solve -24214*o = -24252*o + 532 for o. 14 Solve -67*g + 10*g = -627 for g. 11 Solve m + 88*m + 933 + 313 = 0 for m. -14 Solve 1655*p + 426 = 1584*p for p. -6 Solve -933 - 264 = -73*m - 248 for m. 13 Solve -24*q + 107*q = 37 + 46 for q. 1 Solve -43*u - 818 = -302 for u. -12 Solve 45*b - 198 = 139 - 22 for b. 7 Solve 24*p + 38 = 123*p - 61*p for p. 1 Solve 335*n - 40*n = 9440 for n. 32 Solve -420 - 2668 = -698*w - 296 for w. 4 Solve 3*x - 8*x + 3 = -12 for x. 3 Solve 75*u - 1668 = -145*u + 532 for u. 10 Solve 152*c + 138*c - 2*c = 53*c
{ "pile_set_name": "DM Mathematics" }
rest integer? 36 What is the fifth root of 8594 to the nearest integer? 6 What is the cube root of 30893 to the nearest integer? 31 What is 22592 to the power of 1/2, to the nearest integer? 150 What is the third root of 29704 to the nearest integer? 31 What is 34192 to the power of 1/10, to the nearest integer? 3 What is 4400 to the power of 1/7, to the nearest integer? 3 What is the third root of 2031 to the nearest integer? 13 What is the third root of 37679 to the nearest integer? 34 What is 4388 to the power of 1/7, to the nearest integer? 3 What is 89938 to the power of 1/2, to the nearest integer? 300 What is the third root of 1456 to the nearest integer? 11 What is 5771 to the power of 1/2, to the nearest integer? 76 What is 58347 to the power of 1/2, to the nearest integer? 242 What is the third root of 140 to the nearest integer? 5 What is the fourth root of 1607 to the nearest integer? 6 What is 80831 to the power of 1/4, to the nearest integer? 17 What is 384 to the power of 1/2, to the nearest integer? 20 What is the square root of 1930 to the nearest integer? 44 What is 68348 to the power of 1/7, to the nearest integer? 5 What is the cube root of 27365 to the nearest integer? 30 What is 565 to the power of 1/8, to the nearest integer? 2 What is 13516 to the power of 1/7, to the nearest integer? 4 What is the square root of 493 to the nearest integer? 22 What is 49308 to the power of 1/5, to the nearest integer? 9 What is 1403 to the power of 1/2, to the nearest integer? 37 What is 11725 to the power of 1/2, to the nearest integer? 108 What is the ninth root of 175 to the nearest integer? 2 What is 4385 to the power of 1/3, to the nearest integer? 16 What is the third root of 1316 to the nearest integer? 11 What is 75171 to the power of 1/9, to the nearest integer? 3 What is 95296 to the power of 1/3, to the nearest integer? 46 What is the third root of 6841 to the nearest integer? 19 What is 28591 to the power of 1/2, to the nearest integer? 169 What is 3819 to the power of 1/8, to the nearest integer? 3 What is the fourth root of 118300 to the nearest integer? 19 What is 191 to the power of 1/5, to the nearest integer? 3 What is 2168 to the power of 1/6, to the nearest integer? 4 What is the square root of 4259 to the nearest integer? 65 What is 19824 to the power of 1/2, to the nearest integer? 141 What is 9242 to the power of 1/2, to the nearest integer? 96 What is 1508 to the power of 1/3, to the nearest integer? 11 What is the cube root of 3021 to the nearest integer? 14 What is the tenth root of 41508 to the nearest integer? 3 What is 46056 to the power of 1/3, to the nearest integer? 36 What is the square root of 2231 to the nearest integer? 47 What is the seventh root of 21545 to the nearest integer? 4 What is the third root of 63467 to the nearest integer? 40 What is the square root of 16650 to the nearest integer? 129 What is 3001 to the power of 1/5, to the nearest integer? 5 What is the sixth root of 14 to the nearest integer? 2 What is the eighth root of 36269 to the nearest integer? 4 What is the cube root of 285 to the nearest integer? 7 What is the eighth root of 7543 to the nearest integer? 3 What is the fourth root of 17039 to the nearest integer? 11 What is 99 to the power of 1/4, to the nearest integer? 3 What is the cube root of 6723 to the nearest integer? 19 What is 3796 to the power of 1/4, to the nearest integer? 8 What is 4132 to the power of 1/2, to the nearest integer? 64 What is the third root of 1815 to the nearest integer? 12 What is 22792 to the power of 1/7, to the nearest integer? 4 What is 5175 to the power of 1/2, to the nearest integer? 72 What is 8792 to the power of 1/2, to the nearest integer? 94 What is 2007 to the power of 1/6, to the nearest integer? 4 What is 7624 to the power of 1/2, to the nearest integer? 87 What is the square root of 31498 to the nearest integer? 177 What is 1365 to the power of 1/8, to the nearest integer? 2 What is the square root of 17283 to the nearest integer? 131 What is 12641 to the power of 1/2, to the nearest integer? 112 What is 2705 to the power of 1/2, to the nearest integer? 52 What is 650 to the power of 1/6, to the nearest integer? 3 What is the fifth root of 80190 to the nearest integer? 10 What is 2764 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 1020 to the nearest integer? 2 What is 19943 to the power of 1/2, to the nearest integer? 141 What is the fifth root of 2205 to the nearest integer? 5 What is 10400 to the power of 1/3, to the nearest integer? 22 What is 1227 to the power of 1/3, to the nearest integer? 11 What is the square root of 945 to the nearest integer? 31 What is the square root of 3066 to the nearest integer? 55 What is 1173 to the power of 1/9, to the nearest integer? 2 What is the cube root of 5345 to the nearest integer? 17 What is the cube root of 16738 to the nearest integer? 26 What is the fourth root of 16757 to the nearest integer? 11 What is 7012 to the power of 1/5, to the nearest integer? 6 What is 3842 to the power of 1/2, to the nearest integer? 62 What is the eighth root of 24713 to the nearest integer? 4 What is the seventh root of 76536 to the nearest integer? 5 What is the square root of 849 to the nearest integer? 29 What is the square root of 3478 to the nearest integer? 59 What is the third root of 8307 to the nearest integer? 20 What is 2941 to the power of 1/3, to the nearest integer? 14 What is 15786 to the power of 1/3, to the nearest integer? 25 What is the fifth root of 11282 to the nearest integer? 6 What is the cube root of 5555 to the nearest integer? 18 What is the fifth root of 34503 to the nearest integer? 8 What is the square root of 117364 to the nearest integer? 343 What is the square root of 5127 to the nearest integer? 72 What is the cube root of 3846 to the nearest integer? 16 What is 6509 to the power of 1/2, to the nearest integer? 81 What is the square root of 5740 to the nearest integer? 76 What is 8180 to the power of 1/7, to the nearest integer? 4 What is the square root of 235 to the nearest integer? 15 What is the square root of 7294 to the nearest integer? 85 What is 6812 to the power of 1/7, to the nearest integer? 4 What is the square root of 75456 to the nearest integer? 275 What is 352 to the power of 1/6, to the nearest integer? 3 What is 8057 to the power of 1/8, to the nearest integer? 3 What is the cube root of 52719 to the nearest integer? 37 What is the square root of 57645 to the nearest integer? 240 What is the cube root of 3984 to the nearest integer? 16 What is 1289 to the power of 1/2, to the nearest integer? 36 What is 12637 to the power of 1/5, to the nearest integer? 7 What is 3411 to the power of 1/3, to the nearest integer? 15 What is 4511 to the power of 1/8, to the nearest integer? 3
{ "pile_set_name": "DM Mathematics" }
-2264. What is the thousands digit of w? 1 What is the tens digit of (-134)/4*(156/(-13) + 6)? 0 What is the units digit of ((-6)/5*5)/(2/(-458))? 4 Suppose 125*d - 123*d = 490. What is the tens digit of d? 4 Suppose -4*s - 4*r = -s - 673, 5*s = 5*r + 1110. Let d = 331 - s. What is the hundreds digit of d? 1 Suppose -2*i = 8 - 12. Suppose -u = -5*w - 89, 0 = -u + i*w - 5*w + 65. What is the tens digit of u? 7 Let m = -326 - -399. What is the units digit of m? 3 Let t = -19 + -2. What is the tens digit of (-3 + 60/9)*(0 - t)? 7 Suppose y = -a + 4*y + 8, 3 = -y. What is the units digit of (0 - 1) + a/(2/(-110))? 4 Let r be (28/35)/(2/830). Let l = -202 + r. What is the tens digit of l? 3 Let m = 875 - 325. What is the tens digit of m? 5 Let j(a) = a**3 - 3*a**2 + 5*a - 4. Let i be j(2). Suppose -48 = -2*v + 5*p, -p + 2 + i = 0. What is the units digit of v? 4 Let c = -152 - -1038. What is the tens digit of c? 8 Suppose 28*z - 1646 = 5298. What is the tens digit of z? 4 Let h(z) = z**3 + 10*z**2 - 2*z - 15. Let k be h(-10). Suppose k*r + 11 = -14. Let o(n) = -5*n + 4. What is the units digit of o(r)? 9 Let n = -19 + 26. Suppose -5*y + 2*a = -261, -3*y + n*y - 5*a - 219 = 0. What is the units digit of y? 1 Suppose -5 + 1 = -4*r. Let a be 0 - (3 - (-2)/r). Let q = a - -18. What is the tens digit of q? 1 Suppose 5*r - 4*y = 4*r - 8, 0 = 2*r - 4*y + 4. Let l = 16 - r. Suppose 0 = 4*t - 92 - l. What is the tens digit of t? 2 Let z = 3626 + 1235. What is the units digit of z? 1 Let c be (1/(-2))/((-6)/48). Suppose 0 = 3*a - i - c*i - 627, -5*i = -15. What is the tens digit of a? 1 Let w(c) = c**2 + 5*c - 3. Let d(i) = -i**2 - 4. Let s be d(0). Let f be w(s). Let g(m) = -3*m - 3. What is the tens digit of g(f)? 1 Let c be 49*(0 - 1) + 1. Suppose -95 + 27 = n. Let v = c - n. What is the units digit of v? 0 Suppose d + 7 = -3*b + 3, 0 = 4*d - 5*b - 18. Let i = 103 + -51. Suppose 5*p + d = i. What is the units digit of p? 0 Suppose 14 = 4*p + g, 5*p - 5*g - 10 = 20. Suppose 0 = w - 2*o - 10, w + p*o - 3*o = 4. What is the units digit of (56/12)/(4/w)? 7 Suppose -5*g - 85 = -0*g. Suppose 4*p + b = -2*b + 76, -5*b - 38 = -2*p. Let l = p + g. What is the units digit of l? 2 Let v(q) be the first derivative of -q**4/4 - 2*q**3 - 5*q**2 - 7*q - 8. Let x be v(-6). Suppose -62 - x = -5*o. What is the tens digit of o? 2 Suppose -38*t + 16705 + 30757 = 0. What is the hundreds digit of t? 2 Let c(l) = l. Let j(m) = 21*m - 4. Let r(y) = 2*c(y) - j(y). Let z be r(-4). Suppose 2*h = -0*h - 4*g + z, -3*h + 3*g + 156 = 0. What is the units digit of h? 8 Let h(v) = 163*v**3 + v**2 + v - 2. Suppose 9 - 19 = -10*a. What is the tens digit of h(a)? 6 Let f(w) = -2*w**2 + 3*w. Let j be f(2). Let s = 54 + j. What is the units digit of s? 2 Let w = 83 - 45. What is the units digit of (w/3)/(6/54)? 4 Suppose -2*g - 620 - 1928 = c, 2*g = -2*c - 2548. Let n be (-1)/6 + g/(-84). Suppose d - 26 = n. What is the units digit of d? 1 Let j = 10 + -6. Suppose -a + 22 = j*x - 116, -4*a - 2*x = -510. What is the units digit of 30/9*a/15? 8 Let o = -738 - -933. Let w = 5 - 3. Suppose w*u + o = 5*u. What is the tens digit of u? 6 Let d(g) = -131*g - 270. What is the thousands digit of d(-12)? 1 Let y be 2 + 2 + 1 + -2. Suppose 3*z - 4 = -40. What is the units digit of (-33)/(-4) + y/z? 8 Suppose -9665 = -7*u + 2319. What is the units digit of u? 2 Suppose -j + 3*j = 70. Suppose 4*h + 78 = c - j, 0 = -2*c - 3*h + 226. What is the units digit of c? 3 Suppose 98*b - 4774 = 87*b. What is the units digit of b? 4 Let r = -124 - -288. Suppose 5*a - 3*q + 5*q = 438, -2*a = -2*q - r. What is the tens digit of a? 8 Let t = -6 + 9. Suppose t*w + 9 = -3. What is the units digit of 19/w*(0 + -4)? 9 Let q be 20/(-6)*9/(-6). Suppose -h - q = -2*d + 2, -h - 3 = 0. Suppose a + d*u = -0*u + 28, -a + 19 = -u. What is the units digit of a? 2 Suppose 6 = -4*g + 2. Let r(z) = 6*z + 1. Let k(t) = -t + 1. Let x(v) = g*k(v) - r(v). What is the units digit of x(-7)? 3 Suppose -3*z - 12 = -7*z. Suppose -3*v - 77 = -2*x, -2*x - z*v + 16 = -x. Let f = x + -16. What is the units digit of f? 5 Let r = -17 + 22. Suppose l = i - 60, -2*i = i + r*l - 212. What is the units digit of i? 4 Let k = -80 + 215. What is the units digit of k? 5 Suppose -t = 3*t - 8. Let q(r) = 11*r**3 + r**2 + 3*r - 2. Let z be q(t). Let l = z - 65. What is the units digit of l? 1 Let d(l) = 57*l**2 + 46*l - 4. What is the thousands digit of d(-5)? 1 Suppose -4*i = 5*m - 2389, -m + 4*i = 4*m - 2381. Let t = -1213 + m. What is the units digit of t/(-16)*(-1)/(-2)? 3 Let k = -21 + 21. Suppose 3*n - 87 - 216 = k. What is the tens digit of n
{ "pile_set_name": "DM Mathematics" }
w, l, -4? 2 Suppose 0 = -3*p + y + 60, -3*y = p - 5*y - 20. Suppose -2*f = -12*f - p. What is the biggest value in 3/4, -0.3, f, 2/11? 3/4 Let k = -88 - -89. Let w be (-80)/(-30) + (-3)/k. What is the third smallest value in -2/3, w, -1.3? w Let f = -38 + 39. Suppose n = -2*l + 15, l - 4*l = -2*n - 19. Let v = l + -8. Which is the smallest value? (a) f (b) -3 (c) v b Let v = -1.1 + 0.1. Let y = -4 - v. Let d be (1/(-4))/(-8 + 9). Which is the biggest value? (a) y (b) 5 (c) d b Let i = -441/2 + 220. Let y = -359/5 + 72. Let u = 4 - 1. Which is the smallest value? (a) u (b) y (c) i c Let x(m) = m**3 + 4*m**2 - 6*m + 2. Let n be x(-5). Let d = n - 9. Let v = 14 + -13.8. Which is the third smallest value? (a) -5/4 (b) v (c) d b Let z = 275 - 281. Suppose i = -m - 3*m + 6, 0 = i - 2*m. What is the fourth smallest value in i, 0.4, z, 0.3? i Let f be -9 - (-33)/11*5. Let n = -5 + 5.3. Which is the fourth biggest value? (a) 2 (b) 3 (c) n (d) f c Let z = 29 - 31. Let j be (3/(-30))/(2/8). What is the second smallest value in j, z, -1? -1 Let a = -0.01 - -1.21. Let d = a + 1.8. Let x = -10 + 7. What is the third smallest value in 0.1, x, d? d Let v = 429.07 - 429. Which is the second biggest value? (a) v (b) 2/5 (c) 5 (d) 1/5 b Let f = -16.2 + 15.8. Which is the second biggest value? (a) -4 (b) 3/8 (c) -1/3 (d) f c Let r = 52 - 50. Which is the third smallest value? (a) r (b) -3 (c) -2/13 (d) 24 a Let y = -53 + 94. Let n be y/(-10) + (13 - 9). Which is the second smallest value? (a) n (b) -2 (c) -3 b Let x = -74 + 73.897. What is the biggest value in x, 5, -3? 5 Let i be ((-2)/34)/(16/32). What is the third biggest value in -4, 3, i, -2? -2 Let r = 44.7 - 47. Let t = -46 + 49. What is the second biggest value in r, -5, t? r Let g = 7 - 55/8. Let k = -1052/7 - -150. Let m(y) = -y**2 + y + 3. Let v be m(-2). Which is the third smallest value? (a) g (b) v (c) k a Let w = 182/3 - 178/3. Which is the fourth biggest value? (a) w (b) 8 (c) -5 (d) 1 c Let n = -108.19 - -104.19. Let b(d) = d**2 - 1. Let o be b(0). What is the second biggest value in 0.1, 0.8, n, o? 0.1 Let s = 18 - 27. Let z be s - -10 - (2 + -3 + -2). What is the smallest value in -6/11, z, -0.2? -6/11 Let x = 167.15 + -166. Which is the second smallest value? (a) -1 (b) -2/11 (c) x b Let s(t) = -t + 31. Let x be s(36). Which is the third smallest value? (a) x (b) 14 (c) 3 (d) 6 d Let i = 30.365 + -0.165. Let l = i - 30. Which is the second biggest value? (a) l (b) 2/3 (c) -2 a Let u = 1130 - 1130.2. What is the second smallest value in 1, -17, 0, u? u Let g = 1.5 + -0.9. Let h = -0.4 + 0.7. Let j = -0.16 - -0.16. Which is the second smallest value? (a) h (b) g (c) j a Let n = -279.5 - -280. Which is the third smallest value? (a) n (b) 0.029 (c) 0.3 a Let k be ((-4)/48*1)/((-2)/4). What is the second biggest value in -5, 0.4, 0.8, k? 0.4 Let d(z) = z**2. Let j be d(1). Let k be (-64)/24*(-3)/(-2) - -6. Let f = k - j. What is the third smallest value in -1, -2/5, f? f Let x = -21.1 + 20.1. What is the second smallest value in x, 237, 2? 2 Let h(b) = -b - 3. Let y be h(-5). Let z be y*(15/(-6) - -1). Let x = 0.092 - -0.908. What is the third smallest value in x, 2/15, z? x Let o = 0.13 - 0.13. Let q = 1.6 + o. Let l = 1.1 - q. Which is the second smallest value? (a) 3 (b) -0.4 (c) l b Let s = 1159.1 - 1159. Let p = 10 - 39/4. What is the smallest value in s, p, 3/7? s Let l = -0.477 + 0.5. Let u = l + 2.977. Which is the fourth smallest value? (a) -1/2 (b) u (c) 1/6 (d) 5 d Suppose 5*j = 4*j - 4. Let g be (-2 + 1)/(j/(-84)). Let c be (-14)/g*18/16. What is the smallest value in c, 0.02, 3? 0.02 Let h be 2/(-3) + (-48)/(-45). Let o = 13461/8 - 3365/2. What is the fourth biggest value in -1, 9, h, o? -1 Let l be (-1)/(2/3*1). Let i = -2185 + 2184.8. What is the third biggest value in i, l, -2/17? l Let n = 1.45 - 1.15. Which is the biggest value? (a) -4/27 (b) n (c) -1/2 (d) -2/9 b Let v = 461 + -461.5. Which is the third smallest value? (a) 2/7 (b) -4.2 (c) v a Let w = -0.025 - 1.415. Let v = w + -1.56. Which is the third biggest value? (a) v (b) 5 (c) 0.2 a Let p = 6.58 + -3.58. What is the biggest value in -3, p, 7/6? p Let c = 31 + -54. What is the second smallest value in -5/2, -2, c, 5/2? -5/2 Let h(q) = -4*q - 2. Let n be h(0). Let i be n - (3 - (-9)/(-2)). Which is the second biggest value? (a) i (b) 0.1 (c) -2/
{ "pile_set_name": "DM Mathematics" }
Let f = -16 - z. Factor 1/2 - f*x**2 - 1/4*x. -(x - 1)*(x + 2)/4 Let v(y) = -y**2 + 5*y - 2. Let i be v(4). Find r such that -2*r - 7*r**i + 4*r**5 - 32*r**3 + r**4 - 4*r**2 + 20*r**3 = 0. -1, -1/4, 0, 2 Suppose -4*o + 0*o = -5*d + 48, 4*d - o = 45. Let x be 2/(-1) + 116/d. Factor -13/3*a**2 - 7/3*a**5 - x*a**4 - 9*a**3 + 0 - 2/3*a. -a*(a + 1)**3*(7*a + 2)/3 Let m(a) = a**5 - a**4 + a**3 - a**2. Let n(b) = -2*b**5 + b**3 + 3*b**2 - b - 1. Let g(h) = -5*m(h) - 5*n(h). Factor g(s). 5*(s - 1)**2*(s + 1)**3 What is f in 0 + 0*f - 3/5*f**5 + 3/5*f**4 + 12/5*f**3 - 12/5*f**2 = 0? -2, 0, 1, 2 Let k(l) be the second derivative of -10*l**7/21 + 2*l**6/5 + 7*l**5/5 - l**4 - 4*l**3/3 + l - 1. Find t such that k(t) = 0. -1, -2/5, 0, 1 Suppose -4*m = -3*d + 9 - 21, -3*d = -5*m + 15. Let w = -663/5 + 133. Determine l, given that 0 + 0*l**2 - w*l**m + 2/5*l**4 + 0*l = 0. 0, 1 Let f = 35/13 - 53/39. Determine y, given that -1/3*y**2 - 4/3*y - f = 0. -2 Let p(y) be the first derivative of y**3/4 - 3*y**2/4 + 3*y/4 + 50. Factor p(k). 3*(k - 1)**2/4 Let l(d) = -5*d**4 + 3*d**3 + 14*d**2 - 14*d + 2. Let z(v) = 51*v**4 - 30*v**3 - 141*v**2 + 141*v - 21. Let j(f) = 21*l(f) + 2*z(f). Factor j(p). -3*p*(p - 2)*(p - 1)*(p + 2) Let h(o) be the second derivative of -5*o**4/36 - 35*o**3/9 - 65*o**2/6 + 18*o. Suppose h(y) = 0. What is y? -13, -1 Find h, given that 3/5*h**2 - 3/5*h**4 - 1/5*h**3 + 0 + 2/5*h - 1/5*h**5 = 0. -2, -1, 0, 1 Let t(v) be the third derivative of -v**8/280 - v**7/35 - 7*v**6/100 - 3*v**5/50 - 12*v**2. Factor t(q). -6*q**2*(q + 1)**2*(q + 3)/5 Let k(m) = 8*m**2 - 3*m. Let c(v) = -23*v**2 + 8*v. Let x(d) = 3*c(d) + 8*k(d). Let x(h) = 0. What is h? 0 Let y = 1 + 1. Find w, given that w + w - 5*w**3 + y*w**3 + 4*w**3 - 3*w**2 = 0. 0, 1, 2 Suppose 0 = -4*s + 5*s - 40. Suppose -5*v = 15 - s. Determine f, given that 2*f**5 - 6*f**4 + 2*f**2 + 0*f**2 + 2*f**5 + 0*f**v = 0. -1/2, 0, 1 Let z be (-4)/(-20) - (-18)/10. Let p(c) be the second derivative of -z*c + 1/70*c**5 + 0*c**3 + 0*c**6 + 0*c**4 - 1/147*c**7 + 0 + 0*c**2. Factor p(h). -2*h**3*(h - 1)*(h + 1)/7 Solve 0*t + 2/5*t**2 + 0 - t**3 = 0. 0, 2/5 Let d(g) be the second derivative of -g**4/3 + 17*g**3/3 + 9*g**2 + 42*g. Factor d(y). -2*(y - 9)*(2*y + 1) Let y(n) be the first derivative of -4 + 0*n**2 - 1/8*n**4 + 0*n + 0*n**3. Find f, given that y(f) = 0. 0 Let w(i) be the second derivative of -i**7/56 - 7*i**6/80 - 9*i**5/80 + i**4/32 + i**3/8 + 61*i. Let w(d) = 0. What is d? -2, -1, 0, 1/2 Factor 11*z**2 - 10*z**2 - 2*z**2 + 4. -(z - 2)*(z + 2) Let u be 0/1*13/26. Suppose -3*v = -u*v. Factor -1/2*w**2 + v + w. -w*(w - 2)/2 Let n(h) = -h**3 - 6*h**2 - h + 5. Let a be n(-6). Suppose 0 = -4*d - 3 + a. Factor -9*p**3 - 4*p + 3*p**d - 2*p**5 + 3*p + 7*p**4 + 2*p**2. -p*(p - 1)**3*(2*p - 1) Let u(o) be the first derivative of 2 + 3/7*o**2 + 4/7*o - 1/14*o**4 + 0*o**3. Let u(w) = 0. Calculate w. -1, 2 Suppose t + 30 = 7*t. Let x(m) be the third derivative of -1/42*m**4 - 1/70*m**t + 1/21*m**3 + 2*m**2 + 0 + 0*m. Determine s so that x(s) = 0. -1, 1/3 Let s(c) be the first derivative of 0*c**4 + 1/3*c**6 + 0*c - 2 + 0*c**2 + 2/5*c**5 + 0*c**3. Factor s(v). 2*v**4*(v + 1) Let r(o) be the third derivative of -o**5/40 + 5*o**4/48 - o**3/6 + 2*o**2. Factor r(b). -(b - 1)*(3*b - 2)/2 Let t(o) = o + 1. Let r be t(-9). Let p = 10 + r. Factor 2*w + 10*w**2 - w - 9*w**p. w*(w + 1) Let j(l) be the first derivative of -2*l**5/85 - l**4/34 - 28. Find m, given that j(m) = 0. -1, 0 Let r(g) = 8*g**2 - 2*g - 4. Suppose -2*b + z + z + 20 = 0, -3*z = -2*b + 25. Let q(u) = 7*u**2 - u - 3. Let f(c) = b*r(c) - 6*q(c). Factor f(l). -2*(l + 1)**2 Let s be (3 - 48/20)*5. Factor -7*f**2 + 3*f**s + 4*f**2 + 2*f**2 - 5*f**2. 3*f**2
{ "pile_set_name": "DM Mathematics" }
ers? 638638000 How many centimeters are there in 3/40 of a kilometer? 7500 What is twenty-seven fifths of a microgram in nanograms? 5400 How many weeks are there in 32438.4669 minutes? 3.218101875 Convert 0.4838183 nanometers to centimeters. 0.00000004838183 What is one tenth of a millennium in decades? 10 How many nanoseconds are there in 824713.5 minutes? 49482810000000000 What is 8/25 of a kilometer in centimeters? 32000 How many minutes are there in 1/9 of a day? 160 Convert 4.82189 meters to kilometers. 0.00482189 What is 3/40 of a kilometer in meters? 75 What is five eighths of a micrometer in nanometers? 625 What is 5/8 of a kilometer in meters? 625 How many seconds are there in twenty-nine halves of a minute? 870 How many months are there in 898355.2 years? 10780262.4 How many years are there in 8/25 of a century? 32 How many millilitres are there in five eighths of a litre? 625 How many millilitres are there in twenty-one halves of a litre? 10500 How many years are there in 495.2739 months? 41.272825 What is 60145.89 millennia in decades? 6014589 Convert 62333.97s to nanoseconds. 62333970000000 What is 0.2537939 millennia in centuries? 2.537939 How many millilitres are there in 25/4 of a litre? 6250 How many minutes are there in eight fifteenths of a day? 768 What is 3/10 of a century in years? 30 How many centimeters are there in 1/4 of a kilometer? 25000 What is 72.98174 centimeters in millimeters? 729.8174 What is three tenths of a micrometer in nanometers? 300 What is 1/4 of a kilometer in meters? 250 How many micrograms are there in one sixteenth of a gram? 62500 How many meters are there in 997.644 millimeters? 0.997644 How many millilitres are there in 7244.809 litres? 7244809 How many decades are there in 982.1417 centuries? 9821.417 How many millilitres are there in 13/5 of a litre? 2600 How many millilitres are there in eleven eighths of a litre? 1375 What is 1.622664 months in years? 0.135222 How many micrograms are there in 27/4 of a milligram? 6750 Convert 0.0686626 millilitres to litres. 0.0000686626 How many months are there in 7/4 of a year? 21 Convert 43282.33l to millilitres. 43282330 How many years are there in 1/4 of a century? 25 What is 3/40 of a century in months? 90 What is 6/5 of a tonne in kilograms? 1200 How many kilograms are there in 67/4 of a tonne? 16750 What is 37604.5ml in litres? 37.6045 What is 284705.7 millennia in years? 284705700 Convert 0.1315082 kilometers to meters. 131.5082 What is 1/5 of a hour in minutes? 12 How many kilograms are there in 0.567767ng? 0.000000000000567767 How many micrograms are there in twenty-seven halves of a milligram? 13500 How many tonnes are there in 146.3825 micrograms? 0.0000000001463825 How many litres are there in 89605.34 millilitres? 89.60534 How many millilitres are there in 12/25 of a litre? 480 Convert 0.2079564 years to centuries. 0.002079564 What is 13/5 of a milligram in micrograms? 2600 Convert 6.2437437ns to hours. 0.00000000000173437325 What is thirteen quarters of a millimeter in micrometers? 3250 How many months are there in 11/2 of a decade? 660 What is 6/5 of a century in months? 1440 Convert 53928258.3 minutes to weeks. 5350.025625 How many seconds are there in 1/9 of a hour? 400 Convert 200.6056 decades to years. 2006.056 What is twenty-one quarters of a litre in millilitres? 5250 How many nanograms are there in seventeen tenths of a microgram? 1700 What is 1.34481 litres in millilitres? 1344.81 How many milligrams are there in 45/4 of a gram? 11250 Convert 0.4602846 millennia to years. 460.2846 How many kilograms are there in 1/10 of a tonne? 100 How many kilometers are there in 325.6927mm? 0.0003256927 What is 277735.6 millilitres in litres? 277.7356 What is 10/3 of a hour in seconds? 12000 How many nanograms are there in 0.2450616t? 245061600000000 What is 33/5 of a litre in millilitres? 6600 What is 11/2 of a litre in millilitres? 5500 What is 3/56 of a week in minutes? 540 What is 3/5 of a litre in millilitres? 600 What is 3/25 of a hour in seconds? 432 What is 2/125 of a kilometer in meters? 16 How many centimeters are there in 31/5 of a meter? 620 How many millilitres are there in three fifths of a litre? 600 What is one twentieth of a litre in millilitres? 50 What is 5.900001um in millimeters? 0.005900001 How many meters are there in 3046.641km? 3046641 How many months are there in 4.418387 millennia? 53020.644 Convert 86.1719 millilitres to litres. 0.0861719 How many milligrams are there in 18/5 of a gram? 3600 How many centuries are there in 0.0956233 decades? 0.00956233 What is 9214.872 decades in months? 1105784.64 How many meters are there in 2.519033 nanometers? 0.000000002519033 How many litres are there in 75446.11ml? 75.44611 How many centimeters are there in 6/25 of a kilometer? 24000 How many years are there in 1/5 of a century? 20 What is 0.5418161 millennia in decades? 54.18161 How many nanograms are there in 102.567 micrograms? 102567 What is 61/4 of a litre in millilitres? 15250 How many millimeters are there in 7/2 of a meter? 3500 How many nanometers are there in thirty-seven halves of a micrometer? 18500 How many litres are there in 54577.91 millilitres? 54.57791 How many weeks are there in 374193.162ms? 0.000618705625 Convert 0.7884881 centuries to millennia. 0.07884881 How many centimeters are there in 9/10 of a meter? 90 Convert 2.410023t to grams. 2410023 What is 9896.616 minutes in hours? 164.9436 How many months are there in 21/4 of a decade? 630 Convert 4245.037 milligrams to nanograms. 4245037000 How many minutes are there in 168152.1ns? 0.000002802535 How many microseconds are there in 51040.54s? 51040540000 How many months are there in twenty-nine sixths of a decade? 580 What is 996769.4 millilitres in litres? 996.7694 How many seconds are there in 4/15 of a minute? 16 How many nanoseconds are there in twenty-seven quarters of a microsecond? 6750 Convert 834.0606um to centimeters. 0.08340606 How many meters are there in 1/4 of a kilometer? 250 How many centuries are there in 583.3076 decades? 58.33076 Convert 0.633244 millennia to decades. 63.3244 How many millimeters are there in 11/2 of a centimeter? 55 How many months are there in fifteen quarters of a year? 45 Convert 0.8051304 nanometers to centimeters. 0.00000008051304 Convert 30.72004t to micrograms. 30720040000000 What is five quarters of a week in hours? 210 What is 3/8 of a micrometer
{ "pile_set_name": "DM Mathematics" }
rest integer? 15 What is the sixth root of 61075 to the nearest integer? 6 What is 20901941 to the power of 1/9, to the nearest integer? 7 What is 374950 to the power of 1/7, to the nearest integer? 6 What is 7725389 to the power of 1/3, to the nearest integer? 198 What is the third root of 373452 to the nearest integer? 72 What is the eighth root of 15004790 to the nearest integer? 8 What is 104643 to the power of 1/10, to the nearest integer? 3 What is the square root of 444570 to the nearest integer? 667 What is 185854 to the power of 1/7, to the nearest integer? 6 What is the square root of 16294350 to the nearest integer? 4037 What is the square root of 311027 to the nearest integer? 558 What is the tenth root of 450489 to the nearest integer? 4 What is 7741530 to the power of 1/2, to the nearest integer? 2782 What is 35323728 to the power of 1/9, to the nearest integer? 7 What is 144697 to the power of 1/9, to the nearest integer? 4 What is the third root of 5343585 to the nearest integer? 175 What is the third root of 1888616 to the nearest integer? 124 What is 3746879 to the power of 1/7, to the nearest integer? 9 What is 2814712 to the power of 1/2, to the nearest integer? 1678 What is the square root of 533942 to the nearest integer? 731 What is 346832 to the power of 1/8, to the nearest integer? 5 What is the sixth root of 1190379 to the nearest integer? 10 What is the eighth root of 20032005 to the nearest integer? 8 What is the square root of 3399063 to the nearest integer? 1844 What is the eighth root of 14415328 to the nearest integer? 8 What is the cube root of 3003357 to the nearest integer? 144 What is 177807 to the power of 1/10, to the nearest integer? 3 What is the third root of 2474349 to the nearest integer? 135 What is 154581 to the power of 1/2, to the nearest integer? 393 What is 2815063 to the power of 1/4, to the nearest integer? 41 What is the ninth root of 239073 to the nearest integer? 4 What is the cube root of 35315320 to the nearest integer? 328 What is the square root of 9550929 to the nearest integer? 3090 What is the cube root of 1847448 to the nearest integer? 123 What is the square root of 6282565 to the nearest integer? 2507 What is the cube root of 23406170 to the nearest integer? 286 What is 253495 to the power of 1/5, to the nearest integer? 12 What is 14282435 to the power of 1/10, to the nearest integer? 5 What is the sixth root of 510525 to the nearest integer? 9 What is the fourth root of 1250309 to the nearest integer? 33 What is the seventh root of 1347965 to the nearest integer? 8 What is the ninth root of 316988 to the nearest integer? 4 What is the fifth root of 4685260 to the nearest integer? 22 What is the square root of 2180764 to the nearest integer? 1477 What is 1056872 to the power of 1/4, to the nearest integer? 32 What is the sixth root of 585816 to the nearest integer? 9 What is the fourth root of 229847 to the nearest integer? 22 What is the tenth root of 1602139 to the nearest integer? 4 What is the cube root of 101909 to the nearest integer? 47 What is the third root of 212765 to the nearest integer? 60 What is the third root of 1460732 to the nearest integer? 113 What is 811310 to the power of 1/3, to the nearest integer? 93 What is the square root of 1848500 to the nearest integer? 1360 What is 177613 to the power of 1/9, to the nearest integer? 4 What is 2495489 to the power of 1/2, to the nearest integer? 1580 What is 121430 to the power of 1/4, to the nearest integer? 19 What is the third root of 4044436 to the nearest integer? 159 What is 481665 to the power of 1/10, to the nearest integer? 4 What is the square root of 11844642 to the nearest integer? 3442 What is the square root of 1553297 to the nearest integer? 1246 What is the fourth root of 9304805 to the nearest integer? 55 What is the seventh root of 3927715 to the nearest integer? 9 What is the cube root of 1161272 to the nearest integer? 105 What is the eighth root of 814160 to the nearest integer? 5 What is the seventh root of 1767062 to the nearest integer? 8 What is the cube root of 208685 to the nearest integer? 59 What is the third root of 259910 to the nearest integer? 64 What is the square root of 4527693 to the nearest integer? 2128 What is the square root of 41469368 to the nearest integer? 6440 What is the square root of 13306604 to the nearest integer? 3648 What is 2197182 to the power of 1/8, to the nearest integer? 6 What is 261201 to the power of 1/3, to the nearest integer? 64 What is 88923 to the power of 1/9, to the nearest integer? 4 What is 1765054 to the power of 1/7, to the nearest integer? 8 What is 492778 to the power of 1/3, to the nearest integer? 79 What is 3502286 to the power of 1/9, to the nearest integer? 5 What is 1482508 to the power of 1/7, to the nearest integer? 8 What is 358277 to the power of 1/3, to the nearest integer? 71 What is 4343579 to the power of 1/5, to the nearest integer? 21 What is the sixth root of 30458 to the nearest integer? 6 What is the eighth root of 328497 to the nearest integer? 5 What is the seventh root of 2042256 to the nearest integer? 8 What is 192438 to the power of 1/7, to the nearest integer? 6 What is 96510 to the power of 1/3, to the nearest integer? 46 What is 900535 to the power of 1/7, to the nearest integer? 7 What is 1652868 to the power of 1/7, to the nearest integer? 8 What is the fifth root of 1960536 to the nearest integer? 18 What is the third root of 169274 to the nearest integer? 55 What is the fourth root of 899611 to the nearest integer? 31 What is 165299 to the power of 1/8, to the nearest integer? 4 What is 1075017 to the power of 1/3, to the nearest integer? 102 What is the third root of 21407595 to the nearest integer? 278 What is the cube root of 589499 to the nearest integer? 84 What is 240761 to the power of 1/8, to the nearest integer? 5 What is 1330302 to the power of 1/2, to the nearest integer? 1153 What is the fifth root of 21049 to the nearest integer? 7 What is 101449 to the power of 1/2, to the nearest integer? 319 What is 978849 to the power of 1/2, to the nearest integer? 989 What is the third root of 398702 to the nearest integer? 74 What is 240606 to the power of 1/4, to the nearest integer? 22 What is 137921 to the power of 1/2, to the nearest integer? 371 What is 4544174 to the power of 1/9, to the nearest integer? 5 What is the square root of 11292286 to the nearest integer? 3360 What is 55758 to the power of 1/2, to the nearest integer? 236 What is 3274947 to the power of 1/2, to the nearest integer? 1810 What is 3591699 to the power of 1/5, to the nearest integer? 20 What is the sixth root of 1011709 to the nearest integer? 10 What is the square root of 413357 to the nearest integer? 643 What is 605270 to the power of 1/2, to the
{ "pile_set_name": "DM Mathematics" }
= -7 + 13. Determine t(b). -3 Let x(q) be the first derivative of 2/3*q**3 - 4*q - 3/2*q**2 - 1. Suppose 5*d = -3*m, 0 = m - 0*m + 5. Give x(d). 5 Let g(q) be the first derivative of -q**6/120 + q**5/20 + q**4/4 - 2*q**3/3 + q**2/2 + 3. Let h(s) be the second derivative of g(s). What is h(4)? 4 Let x be -14 - -13 - -1*2. Let y(s) be the first derivative of 10*s - x - 1/2*s**2. What is y(6)? 4 Let o(s) = s + 19. Let r(h) = h + 2. Let g(z) = -z - 3. Let j(c) = -7*g(c) - 6*r(c). Let p(w) = -5*j(w) + 2*o(w). What is p(-5)? 8 Let q(j) = -j**3 + j + 1. Let w(s) be the first derivative of 2/3*s**3 - 3 + 3/2*s**2 + 0*s. Let m be w(-2). Determine q(m). -5 Let h(n) = 2*n + 10. Let d(w) = 5*w + 3. Let q be d(-2). Give h(q). -4 Let n(k) = 9*k**3 + k**2. Suppose 0 = 2*j - s + 4*s + 11, 4*s = -j - 13. What is n(j)? -8 Let o(r) = -r - 2. Let v = -28 + 32. Determine o(v). -6 Let a(h) = -h**2 - 6*h - 4. Suppose 2*b = -5*k + b + 13, -9 = -3*k - b. Suppose -5*t + k*j - 8 = 26, -j - 16 = 3*t. Let p = t + 2. What is a(p)? 4 Let d(t) = t**2 + t - 1. Let b(k) = 2*k**2 + 3*k. Let v(y) = b(y) - d(y). Calculate v(-4). 9 Suppose 2 = s - 2*j + 5, -3 = 2*s - 3*j. Let q(d) be the first derivative of d**4/4 - 4*d**3/3 + d**2 + 2*d + 2. Determine q(s). -1 Let j(p) = p**3 - 4*p**2 + 2*p - 4. Let n(a) = a**3 - 4*a**2 + 2*a - 3. Let h(i) = -3*j(i) + 4*n(i). Calculate h(3). -3 Let w(v) = 2*v + 13*v**2 - 2 + 2*v - 16*v**2. Calculate w(2). -6 Let g(w) = w**2 + 6*w + 5. Suppose -28 - 2 = 5*m. Determine g(m). 5 Let r(v) = -3*v**2 + 4*v. Let s(y) = 10*y**2 - 11*y. Let l(i) = 7*r(i) + 2*s(i). Give l(5). 5 Suppose 6 = -a + 4. Let j(s) = -2*s - 2. What is j(a)? 2 Let a(b) = b**3 - 4*b**2 + 4*b + 1. Let p = -12 + 3. Let i be ((p - 3)/(-2))/2. Determine a(i). 4 Let l = 1 - 1. Let j be 1/(1 + 4/(-5)). Let h(a) = 2 + j - 4 - a**2 + a. Give h(l). 3 Let m(q) be the second derivative of q**3/6 - 3*q**2 + 45*q. What is m(-6)? -12 Let y(n) = 4*n - 1 - 2*n**2 - 7*n - 5*n**2 + n**3 + 6*n. Give y(6). -19 Let i be 0 + 0 - (-2 - 0). Let w(r) = -r - i + 0*r - r + r**2 + 6*r. Let p = -10 + 6. Give w(p). -2 Let f(y) = y**3 + 4*y**2 - y - 4. Let m = -8 + 5. Let z be f(m). Let c = -5 + z. Let d(a) = -a**3 + 4*a**2 - a + 2. Calculate d(c). 8 Let u(x) = -x**3 + 3*x**2 + 3*x - 8. Let d(v) = v - 1. Let k(j) = -6*d(j) + u(j). Determine k(3). -11 Suppose -3*n - 3*m + 6 = 0, -2*n = -3*n + 3*m - 18. Let f(d) = -d - 5. What is f(n)? -2 Suppose -17 = -4*w - 2*n + n, -w + 7 = 3*n. Suppose -8 = -w*a, -i + 2*a - 3*a - 2 = 0. Let r(j) = -j**2 - 5*j + 1. What is r(i)? 5 Let z(i) = i**2 + 7*i + 5. Let l be z(-5). Suppose 0 = 5*a - 2*a + 3*r - 15, -5 = -5*r. Let q(p) = -a*p**2 + 5 + 8*p - p + 5*p**2. Determine q(l). -5 Let s(v) = 7*v**2 - v. Suppose -1 - 4 = 5*z. Give s(z). 8 Suppose -3*v = -4*c - 36, 6 = c + v + 2*v. Let p(a) be the second derivative of a**3/6 + 7*a**2/2 + 29*a. Give p(c). 1 Let o(u) = 2*u**2 - 2*u - 2. Let r(w) be the third derivative of -w**5/60 + 5*w**3/6 + w**2. Let m be r(0). Let i(d) = d - 2. Let l be i(m). What is o(l)? 10 Let r(v) = v - 1. Let s be r(-4). Let h(c) = 2*c**3 - 3*c**2 + 13*c + 25. Let n(a) = a**3 - a**2 + 6*a + 12. Let o(u) = -6*h(u) + 13*n(u). Give o(s). 6 Suppose -9*w + 15 = 6. Let t(h) = -5*h**2 + h. Calculate t(w). -4 Suppose -5*i - 42 = -2*w, -3*i - 28 = -6*w + 2*w. Let q(l) = l**2 + 7*l + 5. What is q(i)? 13 Let c(n) = 413 + 2*n**2 + n**3 + 408 - 822. Let u(w) = -w - 1. Let v be u(0). Determine c(v). 0 Let f = 17 - 10. Suppose -s - 2*s + 15 = 4*j, s + 2*j = f. Let v(u) = 6*u**2 - 2*u + 1. Calculate v(s). 5 Let t(w) = w**2 + 8*w - 12. Let z be t(-9). Let m(b) = -b + 1. Calculate m(z). 4 Let u = 13 + -10. Let r(h) = 2*h**3 + 5*h**2 + 6*h - 2*h**u + 5 - h**3. Determine r(6). 5 Let l = -3 + 27. Suppose -36 = -2*d - 2*d. Suppose 4*b - 2*b = x + d, l = -x + 5*b. Let w(p) = -p
{ "pile_set_name": "DM Mathematics" }
-181? -224 What comes next: 2639, 5280, 7921, 10562? 13203 What is next in 26, 8, -38, -124, -262, -464, -742? -1108 What comes next: 1353, 1368, 1409, 1488, 1617, 1808, 2073? 2424 What is next in 232, 470, 708, 946? 1184 What comes next: -12, 1, 24, 57, 100? 153 What is the next term in -51, -48, -49, -60, -87, -136, -213? -324 What is the next term in -36, -100, -212, -372, -580, -836? -1140 What is the next term in -12, -33, -54, -75, -96, -117? -138 What is next in -2807, -2789, -2773, -2759, -2747, -2737? -2729 What is next in -309, -314, -319, -324, -329, -334? -339 What is next in 537, 559, 629, 771, 1009, 1367, 1869? 2539 What is the next term in 2806, 2812, 2828, 2860, 2914, 2996? 3112 What is next in -1691, -1692, -1693? -1694 What is next in 8, 38, 68, 98, 128, 158? 188 What comes next: 996, 1994, 2992, 3990? 4988 What is the next term in -738, -1484, -2228, -2970? -3710 What comes next: 65, 68, 73, 80, 89, 100? 113 What comes next: 46, 26, -16, -86, -190, -334, -524, -766? -1066 What is next in 2, -10, -32, -64, -106, -158, -220? -292 What is the next term in 24, 40, 56, 72, 88, 104? 120 What is the next term in 77, 158, 251, 362, 497, 662? 863 What comes next: -192, -385, -580, -777, -976? -1177 What is next in 170, 161, 154, 155, 170, 205, 266? 359 What is the next term in 58, 301, 954, 2221, 4306, 7413? 11746 What comes next: -11, -65, -157, -287, -455, -661? -905 What is the next term in 1346, 2698, 4060, 5438, 6838, 8266, 9728? 11230 What is next in 118, 107, 82, 37, -34, -137? -278 What is the next term in -16, -40, -64, -88? -112 What is the next term in -10, -127, -464, -1135, -2254? -3935 What comes next: 141, 150, 155, 150, 129, 86, 15, -90? -235 What is the next term in -52, -92, -120, -136, -140, -132? -112 What is the next term in -64, -360, -846, -1516, -2364, -3384? -4570 What is next in 23, 41, 71, 113, 167? 233 What is the next term in 407, 829, 1251, 1673, 2095? 2517 What comes next: 246, 491, 736, 981, 1226? 1471 What is next in -15, -24, -47, -90, -159, -260? -399 What is the next term in 418, 448, 478, 508, 538, 568? 598 What is next in 882, 880, 878, 876, 874? 872 What comes next: 311, 309, 295, 263, 207? 121 What is next in -1348, -2700, -4052, -5404? -6756 What is the next term in 20, 27, 34, 41? 48 What is next in 0, -53, -202, -495, -980, -1705? -2718 What is next in 39, 40, 41? 42 What is the next term in -17, -13, -9, -5, -1? 3 What is next in -2425, -2431, -2437, -2443? -2449 What comes next: -7, 1, 23, 65, 133, 233, 371? 553 What is the next term in -37, -29, -21, -13, -5, 3? 11 What is the next term in 185, 225, 265, 305, 345, 385? 425 What is the next term in 135, 164, 221, 312, 443, 620? 849 What is the next term in 8, 3, -2, -7? -12 What comes next: -542, -1082, -1622, -2162, -2702? -3242 What comes next: -159, -163, -169, -177, -187? -199 What is next in 43, 48, 55, 64, 75? 88 What comes next: -7, 1, 9, 11, 1, -27, -79, -161? -279 What comes next: -31, -133, -303, -541? -847 What is next in 63, 105, 147? 189 What is next in 5, 11, 17? 23 What is next in -10, -28, -52, -82? -118 What comes next: -72, -228, -480, -822, -1248, -1752, -2328? -2970 What is the next term in -115, -117, -119, -121? -123 What comes next: 110, 112, 114, 116, 118, 120? 122 What comes next: -209, -212, -215, -218, -221? -224 What is next in -30, -67, -98, -123, -142, -155, -162? -163 What comes next: -22267, -22266, -22265, -22264, -22263? -22262 What comes next: 41, 77, 111, 143, 173? 201 What is the next term in 110, 442, 984, 1730, 2674? 3810 What is the next term in -435, -874, -1313, -1752? -2191 What is the next term in -180, -345, -486, -591, -648? -645 What comes next: -410, -404, -398, -392? -386 What is next in -441, -915, -1377, -1821, -2241? -2631 What comes next: -71, -149, -229, -311, -395, -481, -569? -659 What is the next term in -374, -372, -370, -368, -366? -364 What comes next: 1926, 1927, 1928, 1929, 1930, 1931? 1932 What is next in 380, 371, 348, 305, 236? 135 What is next in -25, -30, -31, -22, 3, 50? 125 What comes next: 57, 64, 19, -84, -251? -488 What is next in 27, 26, 29, 36, 47, 62, 81? 104 What is next in 37, 52, 49, 22, -35, -128, -263? -446 What is next in 10, 35, 78, 139, 218, 315, 430? 563 What is the next term in 15, 56, 159, 354, 671, 1140? 1791 What comes next: 62, 41, -8, -97, -238, -443? -724 What is the next term in 2498, 2489, 2474, 2453, 2426? 2393 What is next in -31, -27, -9, 29, 93, 189? 323 What is next in 351, 701, 1051, 1401, 1751, 2101? 2451 What comes next: 10, 14, 10, -8, -46, -110, -206? -340 What is the next term in 10, -2, -18, -38, -62, -90, -122? -158 What is the next term in 239,
{ "pile_set_name": "DM Mathematics" }
Give m(u(y)). -52*y Let j(v) = 2794 - 3*v + 2794 - 5588. Let b(r) be the second derivative of 5*r**4/12 + 23*r. Give b(j(h)). 45*h**2 Let x(n) = -6*n**2. Suppose 12*p - 13131 - 10257 = 0. Let v(c) = -p*c + 3921*c - 1944*c. Calculate x(v(w)). -4704*w**2 Let j(d) = d. Let m(z) = -133 + 4544*z - 47 + 4546*z - 9085*z. Give j(m(q)). 5*q - 180 Let n(w) = 5*w. Let s(c) = -12941993*c. Give s(n(d)). -64709965*d Let f(u) = 209*u**2. Let g(n) = 63*n**2 + 35*n - 875. Let w(j) = -2*j**2 - j + 25. Let k(s) = -g(s) - 35*w(s). Give k(f(v)). 305767*v**4 Let u(z) = 2*z. Let y(n) = 20783081*n**2. Give y(u(s)). 83132324*s**2 Let v = 128 - 68. Let x(g) = 136*g - v*g - 60*g. Let d(q) = -2*q. Let b(s) = 3*s. Let u(p) = -4*b(p) - 5*d(p). Determine x(u(a)). -32*a Suppose -9*x + 14*x = 10. Let y(t) = -20*t**2 - 4*t + 2. Let q(f) = -441*f**2 - 90*f + 45. Let o(k) = x*q(k) - 45*y(k). Let b(a) = 2*a. Determine o(b(r)). 72*r**2 Let w(o) = -65*o**2. Let r = -307 - -311. Let n(y) = -3*y**2 + 6. Let f(s) = 3*s**2 - 8. Let v(u) = r*n(u) + 3*f(u). What is v(w(b))? -12675*b**4 Let t(q) = -53596*q. Let h(s) = 1162*s**2. Determine t(h(y)). -62278552*y**2 Let y(z) = -197*z**2 + 45*z. Let g(q) = 5646*q**2. Determine y(g(c)). -6279831252*c**4 + 254070*c**2 Let w(f) = -2*f - 4. Let g(p) = -p**3 - 8*p**2 - 14*p - 7. Let r be g(-6). Suppose -13 = -4*x - r. Let k(a) = -a + x + 4 - 6. Calculate w(k(j)). 2*j - 4 Let h(d) = 561*d**2. Let o(y) = 105*y - 18. Let g(c) = 47*c - 8. Let q(p) = 9*g(p) - 4*o(p). Give q(h(z)). 1683*z**2 Let b(k) be the first derivative of 2*k**3/3 + 244*k + 3783. Let r(h) = h. Give r(b(u)). 2*u**2 + 244 Let s(l) = -43*l - 49*l + 135*l - 26*l. Let j(n) = 465*n**2. What is j(s(t))? 134385*t**2 Let q(l) be the first derivative of 0*l**2 + 0*l + 2/3*l**3 - 74. Let w(m) = 2*m**2 - 19*m. Calculate w(q(j)). 8*j**4 - 38*j**2 Let w(y) = y**2 - 344. Let s(x) = 2696*x**2. Determine w(s(f)). 7268416*f**4 - 344 Let n(s) be the first derivative of -8*s**3/3 + 26*s + 2213. Let d(t) = -2*t. Give d(n(u)). 16*u**2 - 52 Let f(q) = 1049*q. Let z(p) = 11295*p. Give z(f(d)). 11848455*d Let q(p) = -9396102*p - 1. Let c(a) = -a**2. What is q(c(m))? 9396102*m**2 - 1 Let m(a) = -a - 20. Let x(z) = z + 40. Let p(f) = 5*m(f) + 2*x(f). Let u(t) be the first derivative of t**2 - 17. Calculate p(u(n)). -6*n - 20 Suppose -8*j = -639 - 9. Let f(t) = -j + t + 81 - 3*t. Let i(s) = 12*s**2 - 2. Determine f(i(w)). -24*w**2 + 4 Let h(y) = -17*y. Let a(b) = 36715*b**2 + 3*b + 4. Determine h(a(r)). -624155*r**2 - 51*r - 68 Suppose -2*a - f = a - 8, 4 = 2*a + 2*f. Suppose 0 = -a*m - 4*m + 147. Let l(y) = 21*y + 5*y**2 - m*y. Let q(h) = -3*h. Determine l(q(i)). 45*i**2 Let p(g) = -3. Let h(f) = -3*f + 7. Let x = 244 + -240. Let u(j) = x*p(j) + 2*h(j). Let n(a) be the second derivative of a**4/12 + a. Calculate u(n(w)). -6*w**2 + 2 Suppose 5*k = -0*k + 10. Suppose 47 = -k*g - u + 156, 2*u + 198 = 4*g. Let x(y) = -28*y + g*y - 26*y. Let t(c) = -5*c. Determine x(t(n)). 10*n Let o(s) = 16*s. Suppose 202 + 134 = 168*a. Let g(d) be the third derivative of -1/30*d**5 + 0 + 0*d**3 - 9*d**a + 0*d**4 + 0*d. Determine o(g(m)). -32*m**2 Let x(t) = 4*t. Let p(n) = -2459779*n**2. Determine p(x(y)). -39356464*y**2 Let f(x) = -2*x. Let a be (-5 - 1)/(-1) + 1. Let t(d) = -8*d. Let v(u) = a*f(u) - 2*t(u). Let i(h) = -43*h**2 - 1. Calculate v(i(n)). -86*n**2 - 2 Let f(s) = -s. Let a(x) = 506*x - 170*x - 164*x + 2128 - 171*x. Determine a(f(y)). -y + 2128 Let u(s) = 3*s + 553681 - 553681. Let p(h) = 799*h**2. Give u(p(x)). 2397*x**2 Let y(m) = -18150*m. Let f(n) = -29*n + 300. Let x(h) = 7*h - 72. Let t(i) = -6*f(i) - 25*x(i). What is y(t(p))? 18150*p Let c(t) = 47*t. Let w(f) be the second derivative of -53*f**3/2 + 2*f + 917. Give w(c(o)). -7473*o Let r(s) = -s +
{ "pile_set_name": "DM Mathematics" }
= d*c - 102590. Round l to the nearest 1000. 51000 Let y = -20412 + 20412.000023417. What is y rounded to seven decimal places? 0.0000234 Let m = 1107 + -1107.21884. Let o = m + 0.159477. Let a = 0.0591 + o. Round a to five decimal places. -0.00026 Let d = -0.83 + -40.17. Let h = 27894 - 27934.962. Let f = h - d. Round f to 2 dps. 0.04 Let w be (15/2)/(3/(-48)*6). Let d be 248/(-14) - w/(-70). Let g = 8 + d. What is g rounded to the nearest ten? -10 Let u = -18427 + 10927. Let z be (-50)/(5*(-8)/u). Let b be 6560/(3*10/z). What is b rounded to the nearest 100000? -2100000 Let x = 0.087372 + 41.913128. Let f = -123 + 81. Let t = f + x. Round t to four decimal places. 0.0005 Let a = 542 - 542.124. Let f = a + 0.12348. What is f rounded to three decimal places? -0.001 Let d = -0.396222 + 17817.096222. What is d rounded to the nearest 1000? 18000 Let b(x) = 6311*x - 24. Let w be b(-6). Let f = w - -4390. What is f rounded to the nearest 1000? -34000 Let l be ((-13081)/(-2))/(7/28). Suppose -l = 3*t - 5708. Let d = t - -3448. Round d to the nearest one hundred. -3400 Let i = 2683.15541305 + -2972.155407. Let g = i - -289. What is g rounded to 6 dps? 0.000006 Let o = -1166 + 1382.3. Let k = o - 6.3. Let c = -209.799 + k. Round c to 1 decimal place. 0.2 Suppose -4*g - t = -12, g - 14*t = -12*t + 3. Let q be ((-9)/(-2) + g)*(-1665600)/(-36). Round q to the nearest ten thousand. 350000 Let h = 1026.3416 + -1031.2. Round h to 1 dp. -4.9 Let b be (3*(-5058)/(-21))/((-9)/(-42)). Suppose -23*y - 19104 = -b. Let w be (y/4)/((-3)/300). Round w to the nearest 1000. 17000 Let n = -17976.99969386 + 17977. Round n to 6 decimal places. 0.000306 Let p = 343.9183 + 0.0817. Let g = p - 344.0228. Round g to three decimal places. -0.023 Let j = -2940.95931 - -2941. What is j rounded to 3 decimal places? 0.041 Let o = 568617359.9999464 + -568617566. Let a = o + 206. What is a rounded to 6 decimal places? -0.000054 Let z = -0.0501 + 15.0721. Let f = z + -0.022. Let d = f - 16.74. What is d rounded to 1 dp? -1.7 Let m(l) = 2*l**2 - l - 7. Let t be m(-3). Suppose 7*c + 14 = t*c. Suppose 3*u = -c*u - 1325000. What is u rounded to the nearest ten thousand? -270000 Let x be 6*2/32 + 312/(-768)*21628. Round x to the nearest one thousand. -9000 Let t be (-1234487)/(-4) - 42/(-168). Let v = t - 168622. What is v rounded to the nearest 1000000? 0 Let j be -1 + (-55)/(-45) + 480/27. Suppose -152100 = c - 4*c. Suppose j*h + c = 15*h. Round h to the nearest 1000. -17000 Let b = -104653721.43 - -104654366.430000407. Let z = 645 - b. What is z rounded to 7 decimal places? -0.0000004 Let p be (-3)/(-4)*4 - 3/1. Suppose -4*l + 4 + 48 = p. Suppose -14*w + l*w + 51300000 = 0. What is w rounded to the nearest 1000000? 51000000 Let o(d) = -d**3 + 3*d + 4760000. Let h = -556 - -556. Let a be o(h). What is a rounded to the nearest one million? 5000000 Let i = -51.876 - 0.124. Let q = 53.8978 - 0.2578. Let o = q + i. Round o to 1 decimal place. 1.6 Let a = 0.4 - 3.4. Let z = 679462.99937 - 679460. Let y = a + z. What is y rounded to four dps? -0.0006 Let v = 48832949693.99999733 - 48832949984. Let j = -290 - v. Round j to 6 dps. 0.000003 Let b = -15346 - -15346.01821. What is b rounded to 2 dps? 0.02 Let p = -67.7200209 - -67.79. Let g = -0.27 + 0.2. Let u = g + p. Round u to six dps. -0.000021 Let a = 0.032 + 76.968. Let r = a + -102. Let k = 24.9999918 + r. Round k to five dps. -0.00001 Let f = -17696.72205 - -17697. What is f rounded to two decimal places? 0.28 Let s(q) be the third derivative of q**6/40 + 7*q**5/30 + q**4/3 + 109*q**2. Let n be s(-5). What is n rounded to the nearest 100? -100 Let h = -149 + 149. Suppose h = -0*y - 3*y - 11400. What is y rounded to the nearest one thousand? -4000 Let g = 0.07237195 - 0.0723. What is g rounded to five decimal places? 0.00007 Let p = -3772.9999992661 + 3773. What is p rounded to seven decimal places? 0.0000007 Let h = 0.19 + 0.52. Let a = -104.71 + h. Let l = -103.9923 - a. Round l to three dps. 0.008 Let v = -9948.0000006323 + 9948. What is v rounded to seven decimal places? -0.0000006 Let o = 5.606219 + 0.089081. Round o to the nearest integer. 6 Let o = 1379070094.0000033 - 1379070249. Let y = -155 - o. Round y to six decimal places. -0.000003 Let y = 687 - 686.98869. Round y to four decimal places. 0.0113 Let f(q) = -169*q**3 - 8*q**2 - 36*q - 61. Let g be f(-5). Round g to the nearest 10000. 20000 Let l = 66405.644 + -66296. Let h = 110 - l. Round h to one decimal place. 0.4 Let i = -2 - 133. Let q = -135.0228 - i. What is q rounded to three decimal places? -0.023 Let v = -0.1457 + 0.7346. What is v rounded to 1 decimal place? 0.6 Let w = 7688.99997367 + -7689. What is w rounded to 5 decimal places? -0.00003 Let j = -2.77 - 227.23. Let h = -230.65 - j. Round h to zero dps. -1 Let g = -402.9998346 + 403. What is g rounded to 4 dps? 0.0002 Let r = -59069827.00822 + 59070713. Let a = r - 886. Round a to 3 decimal places. -0.008 Let l = 1.326 - 1.4406. Let c = l - -159.2146. Round c to the nearest integer. 159 Let g = 9602687.76 - 9602740.95999547. Let h = 78.3 - 25.
{ "pile_set_name": "DM Mathematics" }
0.5 (b) 0.4 (c) 1/4 (d) x a Let j = -35.8 - -33.61. Let p = -4.8 + 4.99. Let f = p + j. What is the closest to 2/3 in -0.5, 0, f? 0 Let f = -812 - -811.6. Let n = 5 + -8. Which is the nearest to n? (a) -0.5 (b) f (c) 0 a Suppose -3*m + 3*d + d = 14, -4*m - 2*d = -18. Let v = -1 + 3. Let l = 503 - 503. Which is the nearest to m? (a) -3 (b) v (c) l b Let m = -2.96 - -3.1. Let p = -0.36 - m. Which is the closest to 0.1? (a) p (b) 0.5 (c) 5/3 b Let o be -8 - ((-12)/4 - -6 - 4). What is the nearest to o in 1/3, -1/9, 2/7? -1/9 Let d(w) = 3*w**3 - 3*w**2 + 2*w. Let o be d(1). Let f be o/(-1) + (-160)/(-100). Which is the nearest to f? (a) 1 (b) 0.3 (c) -0.5 c Let p = -679 - -679.4. Which is the nearest to 1? (a) p (b) 2/15 (c) 13 a Let d(q) = 5*q**2 - 76*q + 76. Let w be d(1). What is the closest to 0.3 in w, 6/7, -0.3, 1? 6/7 Let k be (-15)/(-12) + (-1)/1. Let a be -5 + 8892/1116 + 3/(-1). What is the closest to k in 2/9, a, 3? 2/9 Let a = 38 + -25. What is the closest to -1/2 in 0.1, a, -0.4? -0.4 Let t = -27 - -21.6. Let j = 3.04 + t. Let o = -2.4 - j. What is the nearest to o in 3, 4/3, 1? 1 Let u = -24.2 + -7.8. Let r = 37 + u. Which is the closest to 0.2? (a) 1/7 (b) r (c) -1 a Let k = -1.3 + 0.3. Let l = 52.3 + -52. Let v = -0.3 + l. Which is the closest to k? (a) -3 (b) 0.3 (c) v c Let h = 38.7 - 39. Let i = 3.7 - h. Suppose 7 + 3 = 2*j. What is the nearest to 1 in 2/3, j, i? 2/3 Let u = 341/1017 - 2/1017. Which is the nearest to u? (a) 4/3 (b) -2/5 (c) -0.08 c Let g be 246/(-41) + (-20)/(-2) + -1. What is the nearest to -1 in g, 2/9, 21, -2? -2 Suppose 13*t + 59 = 46. Let u(h) = -2*h - 1. Let b be u(1). What is the nearest to 1 in t, b, -6? t Let n = 19.4 + -19.2. Which is the closest to n? (a) 0.5 (b) -2/3 (c) 4 a Let r be 1*(-100)/14 + 21/3. Let z = -11/10 - -3/5. Which is the nearest to r? (a) 4 (b) z (c) 0.4 b Let o(u) = -u**2 - 28*u - 144. Let z be o(-7). Which is the closest to z? (a) 0.2 (b) 2 (c) 0.1 (d) 0.4 b Let i = 6.5 - 6.8. Suppose 0 = s + s - 6. Suppose r = s*r - 5*k - 20, 3*r + 5*k = -20. Which is the closest to r? (a) 0.2 (b) -0.5 (c) i a Suppose 6*a - 20 = 10. Suppose a*j + 3 = -7. Let t = -253/6 - -83/2. What is the nearest to -2/7 in j, t, 0? 0 Let y = 1.37 - 66.37. Let k = -65 - y. Which is the nearest to -0.1? (a) 5 (b) k (c) 3/8 b Let u = 41 + 17. Let z = u + -57.3. Which is the closest to -1? (a) z (b) 1/5 (c) -4 b Let z = -1.925 + -0.075. Let o be (-2 - 0)*2/14. Which is the closest to z? (a) -5 (b) o (c) 3/8 b Let y = 1 - 1.14. Let i = 4.86 - y. Let s = i + 0. What is the nearest to 2/9 in -1, -2, s? -1 Let j(z) = -z**2 - 12*z + 9. Let q be j(-13). Which is the closest to 0.1? (a) -1 (b) 2/15 (c) q (d) 3 b Let k(q) = q**2 - 10*q - 466. Let j be k(27). What is the nearest to 0 in 4, 0, j? 0 Let g = 1395 - 1400. Which is the nearest to -0.1? (a) 0.2 (b) 6/13 (c) g a Let j = 2.2 - 2. Let r(z) = -9*z + 32. Let k be r(3). Let s be -16 - -17 - (0 + 6/k). Which is the closest to -0.1? (a) -3/10 (b) s (c) j b Let h = 23 - 23.1. Let t = 63 + -59. Let f = 5/8 - 31/24. Which is the closest to h? (a) f (b) t (c) 5 a Let d(y) = 11*y - 124. Let x be d(11). Which is the closest to 3/4? (a) 0 (b) x (c) -10 a Let g be (-40)/6*(-249)/(-332). Let h be (-4)/(-6) + 2/(-2). What is the closest to 3 in h, 1/3, g? 1/3 Let f = 11.14 + -19.19. Let c = -19 + 11. Let k = c - f. What is the nearest to 0.1 in 5, k, 1? k Let j = 21 + -13. Let f(z) = z**2 - 15*z + 17. Let m be f(13). Let w be (-5)/70*(1 + m). Which is the nearest to 1? (a) w (b) j (c) 2 a Suppose 9*n - 3 = -12. Which is the closest to n? (a) 4/7 (b) -19 (c) -4 a Let h = -1014.3 - -1014. Which is the nearest to -1/10? (a) 3/2 (b) -3 (c) h (d) -5 c Let k be ((-215)/129)/((-4 + 2)/6). Which is the closest to -2/5? (a) k (b) -2/11 (c) -2/9 c Let g = -175.88 + 161. Let n = g - 0.12. Let i = n + 12. What is the nearest to 1/3 in 1/7, i, 2/5? 2/5 Let x = 303 - 302. What is the closest to -1 in x, -0.3, 2? -0.3 Let b be (0 - 8)/(-4)*(-22)/(-
{ "pile_set_name": "DM Mathematics" }
What is 677 minutes before 9:19 PM? 10:02 AM What is 145 minutes after 7:54 PM? 10:19 PM What is 88 minutes after 12:04 PM? 1:32 PM How many minutes are there between 4:08 AM and 5:45 AM? 97 How many minutes are there between 6:47 AM and 6:16 PM? 689 How many minutes are there between 11:48 PM and 1:10 AM? 82 How many minutes are there between 1:44 AM and 1:33 PM? 709 How many minutes are there between 8:30 AM and 9:41 AM? 71 How many minutes are there between 2:12 PM and 4:46 PM? 154 What is 202 minutes after 5:15 PM? 8:37 PM How many minutes are there between 10:17 PM and 5:54 AM? 457 What is 286 minutes after 4:00 PM? 8:46 PM What is 538 minutes before 3:16 PM? 6:18 AM What is 51 minutes after 5:00 AM? 5:51 AM How many minutes are there between 3:01 AM and 6:07 AM? 186 What is 556 minutes before 10:40 PM? 1:24 PM How many minutes are there between 7:12 AM and 9:48 AM? 156 How many minutes are there between 4:34 AM and 1:33 PM? 539 What is 56 minutes after 8:41 AM? 9:37 AM What is 56 minutes after 11:31 PM? 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185 How many minutes are there between 5:32 AM and 5:57 AM? 25 How many minutes are there between 11:45 AM and 11:44 PM? 719 How many minutes are there between 6:37 AM and 6:20 PM? 703 How many minutes are there between 4:37 PM and 4:39 PM? 2 How many minutes are there between 1:15 PM and 2:05 PM? 50 How many minutes are there between 2:17 AM and 8:16 AM? 359 How many minutes are there between 11:12 AM and 11:14 AM? 2 What is 631 minutes before 1:36 AM? 3:05 PM What is 514 minutes before 4:11 PM? 7:37 AM How many minutes are there between 11:58 AM and 2:27 PM? 149 What is 644 minutes before 1:06 AM? 2:22 PM How many minutes are there between 8:24 AM and 10:14 AM? 110 What is 549 minutes before 7:13 AM? 10:04 PM What is 2 minutes before 10:28 AM? 10:26 AM How many minutes are there between 3:48 PM and 1:05 AM? 557 What is 456 minutes before 8:02 PM? 12:26 PM What is 578 minutes after 10:32 PM? 8:10 AM What is 599 minutes after 12:18 PM? 10:17 PM What is 11 minutes before 1:12 PM? 1:01 PM How many minutes are there between 5:54 AM and 1:03 PM? 429 What is 310 minutes after 8:51 AM? 2:01 PM What is 184 minutes after 10:37 AM? 1:41 PM How many minutes are there between 5:02 PM and 2:34 AM? 572 What is 700 minutes after 2:42 PM? 2:22 AM What is 235 minutes after 6:21 AM? 10:16 AM What is 197 minutes after 1:58 PM? 5:15 PM What is 715 minutes before 6:37 PM? 6:42 AM How many minutes are there between 7:49 AM and 2:03 PM? 374 What is 578 minutes before 2:51 AM? 5:13 PM What is 279 minutes before 10:04 PM? 5:25 PM How many minutes are there between 8:34 PM and 8:23 AM? 709 How many minutes are there between 7:15 AM and 10:01 AM? 166 How many minutes are there between 5:36 AM and 2:39 PM? 543 What is 144 minutes after 11:31 PM? 1:55 AM How many minutes are there between 4:36 AM and 1:35 PM? 539 How many minutes are there between 4:08 PM and 2:47 AM? 639 How many minutes are there between 7:32 AM and 12:37 PM? 305 What is 136 minutes before 4:35 PM? 2:19 PM How many minutes are there between 4:50 PM and 10:35 PM? 345 What is 90 minutes after 6:52 AM? 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{ "pile_set_name": "DM Mathematics" }
Let r be ((-27)/(-36))/(3/(-107)). Let z = r + 27. Is 0 at most z? True Let x(p) = -p**3 + 17*p**2 + 3. Let a be x(17). Suppose -m + 2 = a. Do 2/91 and m have the same value? False Suppose 0*f = 5*f - 25. Let s = -2 - -7. Let b be (2/s)/(11/f). Is b less than or equal to -1? False Let d = -1528/19 + 68152/855. Let j = d - -10/9. Is 0.1 not equal to j? True Let w = 2.174 + -0.174. Let u(c) = c**3 + c + 4. Let m be u(0). Suppose -3*k - 8 = -x, m*x = -x + 25. Which is smaller: k or w? k Let n be 6/(-15)*25/35. Let h = -2 - -3. Which is smaller: h or n? n Suppose -10*r + 47 + 63 = 0. Is r at most 11? True Let a(s) = -5 + 7*s**2 + s**3 + s + 6*s - 2*s. Let q be a(-6). Suppose -3 + q = 2*t. Which is bigger: -2 or t? t Let q = 4 - 3. Let k = 106 + -743/7. Which is smaller: k or q? k Let i = -3 + 6. Which is smaller: 5/2 or i? 5/2 Let b be 3/(63/2)*396/24. Are b and 3 nonequal? True Let r be (-4)/(-10)*(-5)/3. Which is bigger: r or 2? 2 Let m be (-116)/(-780) - 2/10. Suppose 7*u = 12*u. Is u >= m? True Let i be (-10)/(-3)*6/5. Let t = i + -8. Let l be (-2)/4 + 10/(-4). Is l <= t? False Let b = 0.0983 + -364.1883. Let d = 366 + b. Let u = d - -0.09. Is -2/7 <= u? True Let q be (2 - 3/3) + -1. Let b be (3/(-4))/((-36)/(-32)). Is b > q? False Let l = -13 - 77. Which is smaller: l or -89? l Let q = 38 - 27. Let d be q/15 - 4/10. Let b be 10/(-6) + (-8)/(-12). Which is bigger: b or d? d Suppose 4 = 2*d - 2, -3 = 3*u - d. Let r be u + -3 + (-119)/(-35). Which is bigger: -1 or r? r Let t be 0 + 1 + (224/217)/(-1). Does t = 2/3? False Let r = -6 - -3. Let d = -5 - r. Which is bigger: -3/2 or d? -3/2 Let v = -25 - 33. Which is greater: v or -59? v Let w(f) be the second derivative of f**5/20 + 5*f**4/12 + f**3/2 - 2*f**2 + 2*f. Let t be w(-4). Let v = -38 + 34. Which is smaller: v or t? v Let p be (5 - 0)*2/8. Is 0 equal to p? False Suppose -5*p - b + 2 = -0, -10 = -4*p + 2*b. Let g = 0.05 - -0.04. Which is bigger: g or p? p Suppose -2*d = -d + v + 1, -v = -3*d + 1. Are d and -2/147 unequal? True Let p = -2.361 - 0.039. Which is bigger: p or 0.1? 0.1 Let n(r) = r**2 - 5*r - 4. Let u be n(6). Suppose -61*x = -51*x - 30. Is u at least as big as x? False Let c be (-8)/(-28) - 10/(-14). Let b = 53382181/669720 + 7/55810. Let p = 238/3 - b. Which is greater: p or c? c Let a(f) = -f + 2. Let r be a(6). Let n(h) = h**2 + 2*h + 4. Let u be n(r). Let z be u/16 + (-1 - 0). Which is smaller: z or 2? z Let p = 22 + -21. Which is bigger: 0.1 or p? p Suppose -3 = -m + 2, 3*h = -m - 10. Let k = -4 - -7. Let z = k - 3.1. Which is smaller: h or z? h Let v = -68/33 + -80/11. Is -9 equal to v? False Let h = -166 + 2810/17. Which is bigger: h or -1? h Let w be 0*4/12 - -3. Let q be (0 - -1)/((-3)/(-9)). Is q >= w? True Let l(w) = w. Let z be l(-2). Which is smaller: -4 or z? -4 Suppose -5*n = -n - 16. Suppose 0 = n*y + 6 + 10. Is -4 > y? False Suppose 0 = 4*o - 0*o. Which is smaller: o or -2/23? -2/23 Let j be 69/11 + -2 - -3. Let x = j + -1542/209. Which is greater: 0.1 or x? 0.1 Let m(f) = 5*f**3 + f**2 - 2*f + 1. Let j be m(1). Let i = -9 + j. Let b be (-92)/22 - 8/(-44). Is i > b? False Let k = -0.5 + 1.5. Is k bigger than 2/19? True Let b(v) = -4*v - 8. Let y be b(-6). Suppose 5*p + y = 41. Let c = 0 + p. Which is greater: 6 or c? 6 Let y be (-1*(-1 + 4))/3. Let q(m) = -m**3 + 1. Let x be q(0). Suppose 0 = -k - x. Is y < k? False Let p(w) = -2*w**2 + 0 - w**2 - w - 2 - w**3. Suppose 2*k = -3*g - 13, 2*k + 5*g = 5*k - 9. Let y be p(k). Is y smaller than -3? True Let i(r) = r - 8. Let z be i(8). Which is greater: z or -2/59? z Suppose r = -n + 2 - 3, 4*r - n - 6 = 0. Is r less than 2? True Let g be 3 - -33 - (0 + 3). Which is bigger: g or 34? 34 Let q be 17 - 17 - (1 + -1). Which is bigger: q or -7/6? q Suppose g = k + 1, 4*k + k = 2*g + 7. Are k and 2/19 nonequal? True Let o = 6 + -4.8. Let y = o + -1. Let l be 2/(-3)*54/(-90). Which is bigger: y or l? l Let v(x) = -47*x + 2. Let q be v(-3). Let h = q - 717/5. Is h >= 1? False Suppose 2*t = 7*t - 5. Let y be 2/3 + 16/(-18). Which is bigger: y or t? t Let l = -554/7 + 79. Which is smaller: l or 1? l Let m(w) = -2*w**3 + 4*w**2 + 9*w + 1. Let u(p) = 5*p**3 - 13*p**2 - 26*p - 2. Let d(i) = -8*m(i) - 3*u(i). Let r be d(-6). Which is bigger: -3 or r? r Let y be 2/1 + -3 - -3. Suppose -h = h + y. Let z be 205/175 + (-3)/5. Which is smaller: z or h? h Suppose 0 = -g - 2
{ "pile_set_name": "DM Mathematics" }
96))*5 - sqrt(1296)))**2. 1875/18496 Simplify (-5 + (sqrt(200) - (3 + sqrt(200) + sqrt(200))) - -4*(sqrt(200) + -5) - (1 + 5 + sqrt(200) + -5 + -5))**2. -960*sqrt(2) + 1376 Simplify (5*-2*sqrt(153)*3*6)/(sqrt(99)/sqrt(704) + (sqrt(9) - sqrt(9)*3*-4)) + 4. -96*sqrt(17)/7 + 4 Simplify -4*(-2 + (sqrt(162)*-3*6 - ((sqrt(162) - (3 + sqrt(162))*-1) + sqrt(162)))*6)**2. -10289248 - 181440*sqrt(2) Simplify (-2*(1*((sqrt(288) - (sqrt(288) + 1)) + 0) - 5*(5 + sqrt(288)*-1 + sqrt(288) + sqrt(288)))*2*-3)**2. 449280*sqrt(2) + 1134144 Simplify ((sqrt(7) + (sqrt(7) + -2)*2 + sqrt(7) - (sqrt(42)/sqrt(54))**2) + 3 - ((sqrt(49) - (sqrt(343)*1)/sqrt(7))/((sqrt(70)*2)/sqrt(10)))**2) + -4. -52/9 + 4*sqrt(7) Simplify (-1*(sqrt(448) - 6*sqrt(448)*-2))**2*-2 + -4 + (-2 + -2*sqrt(252)*-2)**2. -147392 - 96*sqrt(7) Simplify (5*(3*1*sqrt(98) + sqrt(98) - (sqrt(98) - (-2 + 0 + sqrt(98)))))**2*-6. -235800 + 16800*sqrt(2) Simplify ((sqrt(65) + sqrt(65)*-2*-6 + sqrt(65) - -6*sqrt(65)*-1)*1)/(3*1*sqrt(180)*-2). -2*sqrt(13)/9 Simplify (-2 + 5 + 4 + -5 + sqrt(125) + 3 + sqrt(125) + 5)**2 + 2. 200*sqrt(5) + 602 Simplify 5*(((sqrt(77)/sqrt(176))**2 - sqrt(7) - (-3*sqrt(567))**2) + 5*(0 + sqrt(847))*-1)*-4. 1120*sqrt(7) + 408205/4 Simplify -6*-4*sqrt(19)*-1*5 + (2*(sqrt(190) - sqrt(190)*-1 - sqrt(190)))/(sqrt(20)/(-1*sqrt(2))). -122*sqrt(19) Simplify 5*(((2 + sqrt(200))*4)**2 + 5 + (sqrt(200) - (sqrt(200) + 1)) + sqrt(200) + sqrt(200)) + (-2*sqrt(200)*-3 + 0 + 1 + sqrt(200))**2. 3440*sqrt(2) + 26141 Simplify ((1*((2*sqrt(198) - sqrt(198) - sqrt(198)) + sqrt(198) - sqrt(198)))/(sqrt(729)*-2))/(-1*(-4*2*sqrt(99) - sqrt(99))) + -4. -4 Simplify (1 + -2*3*(6*-6*(2 + sqrt(13)) + -4)*-5)**2. 4922640*sqrt(13) + 20357041 Simplify ((sqrt(24) + (sqrt(72)/sqrt(3) - sqrt(24)))*-1)/(sqrt(12) + sqrt(12) + -5*sqrt(48)) + 1 + -2*sqrt(162)*1. -143*sqrt(2)/8 + 1 Simplify 3*(3 + (sqrt(363)*-2)**2 + sqrt(363)) + -1 + (-1*(sqrt(363) + 0))**2 + -1. 33*sqrt(3) + 4726 Simplify ((sqrt(57) + (sqrt(57) - 1*sqrt(57)*-5) - sqrt(57)*-3*-6)/((3*sqrt(75)*1 - sqrt(75))*-6))**2. 2299/3600 Simplify (3*sqrt(3645) + sqrt(45) + sqrt(180)*-1 + sqrt(180) + sqrt(45))/(1*(-5*sqrt(567))/sqrt(7)). -29*sqrt(5)/15 Simplify (sqrt(171)*2*-1 + sqrt(171) + sqrt(171) + sqrt(171) + 2*sqrt(171)*-1)/(sqrt(360)/(sqrt(120)/sqrt(48))). -sqrt(19)/4 Simplify (1 + -1 + sqrt(1584)*1 + sqrt(1584) + 0 + -2)*-3*-2. -12 + 144*sqrt(11) Simplify -2*((sqrt(90)/sqrt(3))/sqrt(6)*-6)**2*4 - (-5 + (sqrt(440)/(sqrt(44)/sqrt(4)))/(sqrt(32)/(-1*sqrt(4) - sqrt(4) - sqrt(4)))). -1435 + 3*sqrt(5) Simplify (sqrt(160)*1*-6 - -3*(sqrt(160)*2 + sqrt(160)))/((-2*((2*sqrt(224) + sqrt(224) + sqrt(224) - sqrt(224) - sqrt(224)) + sqrt(224)))/sqrt(7)). -sqrt(5)/2 Simplify (2*(sqrt(204)*-1 + sqrt(204)) - (sqrt(204) - -3*sqrt(204)*-3))/(4*((sqrt(132) - sqrt(132)*-1)*-3)/sqrt(11)) + 2. -sqrt(17)/3 + 2 Simplify -6*(-6*(1*sqrt(560))/((sqrt(245) - (sqrt(245) + 2*sqrt(245))) + sqrt(5))*1*1 + 3). -144*sqrt(7)/13 - 18 Simplify -4*((sqrt(1088) - sqrt(17)) + sqrt(17)) - (-4 + sqrt(119)/sqrt(7)) - ((sqrt(2057)*-2)**2 + 1 + 2). -8227 - 33*sqrt(17) Simplify (2*(3 + -2 + 3*-5*(-2 + sqrt(68))*-6))**2. -257760*sqrt(17) + 2331364 Simplify -2*((1 + sqrt(72) + sqrt(72) + 1 + 3)**2*-5 - ((sqrt(72) + 0)*-6 - sqrt(72)*-2*2)*-1). 1224*sqrt(2) + 3130 Simplify 4*((3*(0 + sqrt(539)))**2*3 + 5 + 1 + sqrt(539) + 2)*-4*5. -1164880 - 560*sqrt(11) Simplify -4 + 2*(6*4*sqrt(117)*-3 - (2*(-1 + sqrt(117)) - sqrt(117))*-6). -396*sqrt(13) - 28 Simplify ((-3*sqrt(144)*-2 - sqrt(144))/(-4*2*sqrt(8)))/((-1*sqrt(81) + sqrt(81) + sqrt(81))*-4 + (sqrt(63) + sqrt(567))/sqrt(7)*2). 5*sqrt(2)/32 Simplify ((2*sqrt(360)*5 - sqrt(360))/sqrt(9))/(sqrt(200)*3 - sqrt(32)*-2). 9*sqrt(5)/19 Simplify ((sqrt(180)*3 - sqrt(100)/sqrt(20))/(sqrt(640) + (sqrt(640)*-3 - sqrt(640)) - (sqrt(360)*2 + sqrt(360))))**2. 289/3528 Simplify 3*(-4*sqrt(30)/sqrt(2))/((sqrt(50)*1)/sqrt(10)) - (-3 + -1*sqrt(192)*2)*-2. -44*sqrt(3) - 6 Simplify 5*(0 + (sqrt(180)*-1)**2*2) + 1 + (-1*sqrt(180)*6 + 5)**2. -360*sqrt(5) + 8306 Simplify (sqrt(24)/(sqrt(2) + sqrt(18)) + 4)*3 + -4 + (-1*sqrt(12))**2 + 3 + 2. 3*sqrt(3)/2 + 25 Simplify (sqrt(66) + 6*((sqrt(66) + 3*sqrt(66) - sqrt(66)) + sqrt(66)))/(sqrt(54) + sqrt(216)) + (sqrt(99)*3*2)/(sqrt(36)/sqrt(4)*2). 52*sqrt(11)/9 Simplify 1*(-3 + sqrt(1900) + 1 - (-5 + -1 + sqrt(1900) + sqrt(1900) + sqrt(1900))**2) - ((sqrt(114)/(sqrt(30)/sqrt(5)) - (sqrt(19) - (2 + sqrt(931)))) + -3).
{ "pile_set_name": "DM Mathematics" }
615*n/2 - 75 = 0. -5, 2/5, 1 Factor 36*s**4 + 8*s**3 - 36*s**2 - 8*s. 4*s*(s - 1)*(s + 1)*(9*s + 2) Factor j**3/3 - 2*j**2/3 - 5*j. j*(j - 5)*(j + 3)/3 Factor 15*i**3 + 6*i**2 - 39*i + 18. 3*(i - 1)*(i + 2)*(5*i - 3) Find u such that 34*u**5 - 64*u**4 + 26*u**3 + 4*u**2 = 0. -2/17, 0, 1 Determine u so that 7*u**5/3 - 268*u**4/3 + 2288*u**3/3 - 4286*u**2/3 + 915*u - 162 = 0. 2/7, 1, 9, 27 What is g in 5*g**5/4 - 45*g**4/2 + 135*g**3 - 270*g**2 = 0? 0, 6 Find c, given that -4*c**2/3 - 100*c/3 - 32 = 0. -24, -1 Let -3*g**3 - 45*g**2 + 48*g = 0. Calculate g. -16, 0, 1 Factor 2*h**4/5 + 10*h**3 - 162*h**2/5 + 166*h/5 - 56/5. 2*(h - 1)**3*(h + 28)/5 Factor -2*f**3 - 16*f**2 + 18*f + 144. -2*(f - 3)*(f + 3)*(f + 8) Find z, given that -4*z**4/7 + 6*z**3/7 - 2*z/7 = 0. -1/2, 0, 1 Suppose -t**2 + 52*t = 0. What is t? 0, 52 Suppose 2*k**2/5 - 394*k/5 - 396/5 = 0. What is k? -1, 198 Solve v**2/3 + 2*v/3 - 5 = 0 for v. -5, 3 Find y, given that -3*y**3/8 - 123*y**2/8 - 165*y - 150 = 0. -20, -1 Factor -4*d**5/5 - 12*d**4/5 + 96*d**3/5 - 112*d**2/5. -4*d**2*(d - 2)**2*(d + 7)/5 Factor 2*t**4/3 - 2*t**3/3 - 4*t**2/3. 2*t**2*(t - 2)*(t + 1)/3 Suppose -4*r**3/5 + 72*r**2/5 - 284*r/5 - 72 = 0. What is r? -1, 9, 10 Factor -2*v**5/9 + 8*v**4/9 - 2*v**3/3. -2*v**3*(v - 3)*(v - 1)/9 Factor 2*x**5/15 - 32*x**4/15 + 56*x**3/15. 2*x**3*(x - 14)*(x - 2)/15 Factor -4*r**3 - 32*r**2 + 704*r + 3072. -4*(r - 12)*(r + 4)*(r + 16) Solve 2*l**5/3 + 2*l**4/3 - 18*l**3 + 18*l**2 + 36*l = 0. -6, -1, 0, 3 Solve 2*w**4 - 28*w**3 + 112*w**2 - 128*w = 0 for w. 0, 2, 4, 8 Factor 2*p**2/7 + 708*p/7 + 1408/7. 2*(p + 2)*(p + 352)/7 Determine r so that -2*r**3/3 - 18*r**2 + 692*r/3 - 592 = 0. -37, 4, 6 Factor -123*p**2/4 + 63*p - 3. -3*(p - 2)*(41*p - 2)/4 What is h in -65*h**3/2 + 327*h**2/2 - 135*h + 4 = 0? 2/65, 1, 4 Factor -4*j**4 + 44*j**3 - 96*j**2 - 144*j. -4*j*(j - 6)**2*(j + 1) Factor -12*v**2 + 40*v - 32. -4*(v - 2)*(3*v - 4) Solve -69*b**5 + 201*b**4 + 777*b**3 - 141*b**2 - 708*b - 60 = 0. -2, -1, -2/23, 1, 5 Factor -4*f**3 - 76*f**2 + 10560*f - 154368. -4*(f - 24)**2*(f + 67) Factor -9*w**4 - 150*w**3 + 216*w**2. -3*w**2*(w + 18)*(3*w - 4) Factor 15*r**4 - 21*r**3 - 15*r**2 + 21*r. 3*r*(r - 1)*(r + 1)*(5*r - 7) Factor o**5/3 + 11*o**4/3 + 8*o**3 - 4*o**2/3 - 32*o/3. o*(o - 1)*(o + 2)**2*(o + 8)/3 Find u such that 3*u**4/4 - 431*u**3/4 - 147*u**2/4 + 431*u/4 + 36 = 0. -1, -1/3, 1, 144 Factor -2*z**2/3 - 4028*z/3 - 8048/3. -2*(z + 2)*(z + 2012)/3 Factor 12*l**3 + 7264*l**2 + 1096860*l - 734472. 4*(l + 303)**2*(3*l - 2) Factor -2*p**4/7 + 32*p**3/7 - 144*p**2/7 + 256*p/7 - 160/7. -2*(p - 10)*(p - 2)**3/7 What is v in 9*v**3 - 1527*v**2/5 + 1383*v/5 + 99/5 = 0? -1/15, 1, 33 Factor 3*v**3 + 342*v**2 + 12996*v + 164616. 3*(v + 38)**3 Determine o, given that o**2/9 - 4568*o/9 + 5216656/9 = 0. 2284 Factor -5*w**3 - 4635*w**2 - 1076475*w - 1071845. -5*(w + 1)*(w + 463)**2 Factor 2*c**4 + 32*c**3 + 28*c**2 - 32*c - 30. 2*(c - 1)*(c + 1)**2*(c + 15) Factor 5*t**3 - 345*t**2 - 705*t - 355. 5*(t - 71)*(t + 1)**2 Factor -2*p**3/3 + 1004*p**2/15 - 5080*p/3 + 2000/3. -2*(p - 50)**2*(5*p - 2)/15 Determine n so that 4*n**2 - 464*n + 460 = 0. 1, 115 Solve 3*b**2/2 - 1473*b/2 + 1467 = 0 for b. 2, 489 Find j, given that 15*j**3 - 310*j**2 + 1825*j - 2250 = 0. 5/3, 9, 10 Factor -d**3 + 16*d**2 - 77*d + 98. -(d - 7)**2*(d - 2) Factor 2*f**2 + 2*f - 4. 2*(f - 1)*(f + 2) Find l such that -l**3/8 - 3*l**2/8 - 3*l/8 - 1/8 = 0. -1 Suppose 2*d**3/7 + 108*d**2 + 69906*d/7 - 291848/7 = 0. What is d? -191, 4 Let -2*u**2 + 316*u - 12482 = 0. What is u? 79 Solve u**3/4 - 153*u**2
{ "pile_set_name": "DM Mathematics" }
by n. 90 Let q(f) = 2*f**2 + f + 3. Let p be q(-3). Suppose -y - y = -3*u - p, 2*u = -2*y + 8. Calculate the remainder when y is divided by 4. 2 Let j be (-14)/(-8) + (-2)/(-8). Suppose -x = -3*w + 35, -4*w - 3*x + 62 = -j. What is the remainder when 37 is divided by w? 11 Suppose -8*x - 185 = -9*x. Calculate the remainder when 44 is divided by (-6)/18 + x/15. 8 Let n be 3 - (-39)/(-12) - 1762/(-8). Let u = n + -121. What is the remainder when u is divided by 34? 31 Let n(c) = c**2 + 14*c - 12. Let w = 51 + -66. Calculate the remainder when 32 is divided by n(w). 2 What is the remainder when 169 is divided by (1/3)/((-17)/357) + 100? 76 Let g = 29 + -57. Let z = 45 + g. What is the remainder when 45 is divided by z? 11 Let i(d) = 54*d**2 + 535*d + 15. Let s = 25 - 8. Calculate the remainder when i(-10) is divided by s. 14 Let u(a) = 2*a - 3. Let t be (-1)/3 - 13/(-3). Suppose 3*c - 10 = c - n, -18 = -t*c - 3*n. What is the remainder when u(c) is divided by 3? 0 Suppose -48*a + 1562 = -1126. Calculate the remainder when 333 is divided by a. 53 Suppose 0 = -x - 0*x + 4*u + 7, 4*u - 26 = -2*x. Let f be 290/18 + 13/(-117). Let n = 57 - f. Calculate the remainder when n is divided by x. 8 Suppose -34*i + 18 = -31*i. Calculate the remainder when 39 is divided by i. 3 Let b(y) = 17*y**3 - y**2 + y - 1. Let o be b(1). What is the remainder when 27 is divided by (-40)/(-12)*24/o? 2 Calculate the remainder when 56 is divided by (8/(-3))/(10 - (-4624)/(-459)). 20 Let q = -321 + 337. Calculate the remainder when 27 is divided by q. 11 Let t = 1151 + -308. Let z = 26 - 13. What is the remainder when t/18 + 2/12 is divided by z? 8 Let b = -295 - -602. Calculate the remainder when b is divided by 79. 70 Suppose -2*d + 6 = d. Suppose 1 + 81 = d*x. What is the remainder when x is divided by (-500)/(-24) - (-1)/6? 20 Let k = -33 - -38. What is the remainder when (0 + -2)*5/(-2) is divided by k? 0 Let v = 504 - 487. Let k(o) = o**2 + o + 47. Calculate the remainder when k(0) is divided by v. 13 Let y be ((-2)/4)/((-10)/240). Suppose -2*d - y = -6*d. Let b(p) = -p**3 + 4*p**2 - p - 3. Calculate the remainder when 4 is divided by b(d). 1 Suppose 8*w = -2*x + 4*w + 22, -3*x + 37 = 4*w. What is the remainder when x is divided by 8? 7 Suppose u = t + 2*t - 73, -5*u + 110 = 4*t. Let w = -15 + t. What is the remainder when 28 is divided by w? 8 Suppose 73 = 5*d + 3*a, -5*d - 4*a + 28 = -46. Calculate the remainder when 51 is divided by d. 9 Suppose -144 = q + 3*q. What is the remainder when 264/9 - 4/(-6) is divided by (-24)/q*24/2? 6 Let i(r) = r - 1. Let b(p) = 2*p - 1. Let k(t) = -4*b(t) + 4*i(t). Suppose 71 = -3*d - 2*d + 3*o, 0 = o - 2. What is the remainder when k(d) is divided by 27? 25 Suppose -30*t = -29*t - 3. Suppose 0 = -t*x + 9*x - 84. Calculate the remainder when 25 is divided by x. 11 Suppose 5*z = -3*s - 11, 2*s = -s - z + 5. Suppose -2*b - 40 = -s*b. Calculate the remainder when b is divided by 22. 18 What is the remainder when 62 is divided by (2/6 + 1)*378/56? 8 Suppose 9*k - 63 = 9. Suppose -5*g + 4*i + 87 = 0, 4*g + 66 = k*g - 2*i. Let d(a) = 72*a + 1. Calculate the remainder when d(1) is divided by g. 13 Suppose 0 = -263*p + 298*p - 3955. Calculate the remainder when p is divided by 48. 17 Let f(n) = n**3 + 7*n**2 - 21*n**2 + 9*n**2 - 6 - 2*n. Calculate the remainder when f(7) is divided by 10. 8 Suppose 5*z - 5*m = 30, 4*z - m + 0 = 9. What is the remainder when z/(2/270) - -1 is divided by 35? 31 Suppose 5*q + 692 = 3*n, -2*q + 1 + 3 = 0. Calculate the remainder when n is divided by 37. 12 Suppose m + 8 - 83 = 4*j, 0 = -3*m - 3*j + 165. What is the remainder when 172 is divided by m? 54 Let u be (3 + -2)*(0 + -1). What is the remainder when (3 - 0 - u) + -1 is divided by (-1)/(-2) + 12/8? 1 Let k(r) = -7*r**3 - r**2 - 3*r - 1. Let x be k(-1). Let a = -69 + 124. What is the remainder when a is divided by 6/x + (-636)/(-48)? 13 Suppose -s - 5*s = -0*s. What is the remainder when 92 is divided by (2 - s) + (0/(-3) - -17)? 16 Let q = -700 + 312. What is the remainder when (-1)/(2/q*2) is divided by 25? 22 What is the remainder when 1318 is divided by 3430/26 + (-73)/(-949)? 130 Let j(z) = 78*z - 74. Let o be j(1). Let g be (-26)/(-3) + (-2)/(-6). What is the remainder when g/(9/14) + o is divided by 11? 7 Suppose 2*d + 4*q - 92 = 0, q = 5*q + 16. Suppose -j - d = -3*j. What is the remainder when j is divided by 8? 3 Suppose 4*m + 116 = -5*w, 6*w + m + 71 = 3*w. Suppose f - 2*g = 55, f - 5*g - 60 = -8. Let l = w + f. Calculate the remainder when l is divided by 12. 9 Suppose 4*c + 223 = 10*c + 49. Let s = 176 + -92. What is the remainder when s is divided by c? 26 Let c(k) = k**2 + 13*k - 8. Let l be c(-15). Let v = 3 - l. Calculate the remainder when 19 is divided by (-3)/(-12) - v/4. 4 Suppose g + 21 = 4*g. Let q = 83 - 63. Calculate the remainder when q is divided by g. 6 Let q be 3 + (-236)/(-6) + (-10)/(-15). Let s = -27 + q. Calculate the remainder when s is divided by 5. 1 Let o(h) = h**3 + 4*h**2 - h + 6. Let s = 3 - 0. Calculate the remainder when ((-4)/s)/((-2)/57) is divided by o(-4). 8 Let q = 188 - 102. Calculate the remainder when q is divided by 13. 8 Suppose -41 = 5*v - 21, 2*x + 2*v = 908. Calculate the remainder when x is divided by 9
{ "pile_set_name": "DM Mathematics" }
s'th term of -330782, -661173, -991564, -1321955? -330391*s - 391 What is the y'th term of 47812375, 47812372, 47812369, 47812366? -3*y + 47812378 What is the v'th term of 93963, 375761, 845391, 1502847, 2348123, 3381213, 4602111? -v**3 + 93922*v**2 + 39*v + 3 What is the c'th term of 121815, 487258, 1096327, 1949022, 3045343, 4385290, 5968863? 121813*c**2 + 4*c - 2 What is the x'th term of 902, 1982, 3266, 4760, 6470? x**3 + 96*x**2 + 785*x + 20 What is the a'th term of 56496, 56504, 56514, 56526? a**2 + 5*a + 56490 What is the l'th term of 7913, 9496, 11079? 1583*l + 6330 What is the r'th term of 79656, 81868, 84080, 86292, 88504? 2212*r + 77444 What is the y'th term of -23406, -4049, 15306, 34659, 54010, 73359? -y**2 + 19360*y - 42765 What is the a'th term of 536016, 1072006, 1607998, 2143992, 2679988? a**2 + 535987*a + 28 What is the c'th term of 7659, 69204, 236263, 561594, 1097955? 8793*c**3 - c**2 - 3*c - 1130 What is the l'th term of 190053, 190866, 191679, 192492, 193305? 813*l + 189240 What is the t'th term of 43361, 86749, 130167, 173615, 217093, 260601, 304139? 15*t**2 + 43343*t + 3 What is the s'th term of -36167, -36269, -36321, -36299, -36179? 4*s**3 + s**2 - 133*s - 36039 What is the u'th term of -2057, -4146, -6249, -8354, -10449, -12522? 2*u**3 - 19*u**2 - 2046*u + 6 What is the k'th term of -112197, -112206, -112217, -112230, -112245, -112262, -112281? -k**2 - 6*k - 112190 What is the f'th term of 3427, 13749, 30957, 55057, 86055, 123957, 168769? f**3 + 3437*f**2 + 4*f - 15 What is the l'th term of -5, -109, -521, -1433, -3037, -5525? -32*l**3 + 38*l**2 + 6*l - 17 What is the x'th term of -2478305, -4956611, -7434917, -9913223, -12391529? -2478306*x + 1 What is the m'th term of 56, 1536, 4418, 8708, 14412, 21536, 30086, 40068? m**3 + 695*m**2 - 612*m - 28 What is the x'th term of 13570165, 27140342, 40710509, 54280660, 67850789, 81420890? -x**3 + x**2 + 13570181*x - 16 What is the h'th term of 10815124, 10815104, 10815084, 10815064, 10815044, 10815024? -20*h + 10815144 What is the i'th term of -14835, -14821, -14807? 14*i - 14849 What is the d'th term of -4591, -4491, -4323, -4087, -3783? 34*d**2 - 2*d - 4623 What is the p'th term of -6817, -13706, -20621, -27562, -34529? -13*p**2 - 6850*p + 46 What is the x'th term of 304, 86, -276, -788, -1456? -x**3 - 66*x**2 - 13*x + 384 What is the x'th term of 45635, 45809, 45983, 46157, 46331? 174*x + 45461 What is the r'th term of 30726, 40708, 50690, 60672, 70654, 80636? 9982*r + 20744 What is the v'th term of -5507, -6175, -7281, -8819, -10783, -13167? v**3 - 225*v**2 - 5283 What is the p'th term of -31166, -52436, -73694, -94934, -116150, -137336? p**3 - 21277*p - 9890 What is the t'th term of 97351, 194698, 292069, 389476, 486931? 2*t**3 + 97333*t + 16 What is the r'th term of 444982, 890281, 1335580, 1780879, 2226178, 2671477? 445299*r - 317 What is the l'th term of -167197, -334356, -501511, -668662, -835809, -1002952? 2*l**2 - 167165*l - 34 What is the p'th term of -20783, -83178, -187167, -332738, -519879, -748578? 2*p**3 - 20809*p**2 + 18*p + 6 What is the c'th term of 258909065, 258909066, 258909067, 258909068, 258909069? c + 258909064 What is the k'th term of 4953, 5066, 5173, 5274, 5369? -3*k**2 + 122*k + 4834 What is the c'th term of 319839, 319850, 319861, 319872, 319883, 319894? 11*c + 319828 What is the v'th term of -205188, -205125, -205016, -204861, -204660, -204413, -204120? 23*v**2 - 6*v - 205205 What is the b'th term of 46772, 46794, 46908, 47162, 47604, 48282, 49244, 50538? 8*b**3 - 2*b**2 - 28*b + 46794 What is the y'th term of 247004, 247167, 247330, 247493? 163*y + 246841 What is the a'th term of 3892, 25970, 62822, 114454, 180872? a**3 + 7381*a**2 - 72*a - 3418 What is the t'th term of -1251, -1054, -519, 522, 2237, 4794? 28*t**3 + t**2 - 2*t - 1278 What is the o'th term of 86863, 87213, 87563, 87913? 350*o + 86513 What is the d'th term of -165208, -330159, -494852, -659287? 129*d**2 - 165338*d + 1 What is the r'th term of 1562588, 3125363, 4688136, 6250907? -r**2 + 1562778*r - 189 What is the s'th term of 121708120, 243416240, 365124360? 121708120*s What is the t'th term of -25980, -207880, -701626, -1663146, -3248368, -5613220, -8913630, -13305526? -25988*t**3 + 5*t**2 + t + 2 What is the k'th term of -236, -1125, -3048, -6365, -11436, -18621, -28280? -60*k**3 - 157*k**2 + 2*k - 21 What is the q't
{ "pile_set_name": "DM Mathematics" }
4 (d) v d Let g = 2633 - 2632.8. Which is the closest to 0.0893? (a) 1 (b) g (c) -0.2 b Let n be (-100)/580*(-48)/40. Which is the nearest to 0? (a) -0.4 (b) -0.1 (c) 2 (d) n b Let s = 204.24 - 204. Let o = 0.64 - s. What is the nearest to -1 in 1/5, -2, o, 2/3? -2 Let k = -352.21 - -352.2. Let x = 1 + -0.9. Suppose 4 = l - 2*l - 2*q, 3*l + q - 8 = 0. Which is the nearest to x? (a) 0.5 (b) k (c) l b Let o = -0.2 + 0.2. Let j = 203 + -203. Let f be 6 + j - 1 - 26/5. What is the nearest to 1/4 in o, f, 1? o Let m = -200.04 + 200. Let v = -0.06 + m. What is the closest to 2/5 in v, 1, 13? v Let s = 199 + -199. Let g = 153/7 - 22. Which is the closest to s? (a) 0.2 (b) g (c) 0 c Let k = 0 + -2. Let p = -959 - -965. Let r be (p/3*1)/(-2) - 0. Which is the closest to r? (a) 1 (b) k (c) -18 b Let i(v) = v**2 + 3*v + 2. Let c be i(4). Let q be 1/1*(5 + (-156)/c). What is the nearest to q in -4, -3, 1? 1 Let r = -1032.8 + 1033.3. Which is the nearest to r? (a) 1 (b) -25 (c) 0.6 (d) -3 c Let f be (12 - 2) + (-532)/57. What is the nearest to f in 3/4, -10, -2, 14? 3/4 Let y = -2.66 + 2.76. Let m = 83/4 + -49/2. Let l = -4 - m. What is the nearest to y in -3, l, -2/9? -2/9 Let v = 558 + -559.653. Let h = v - 0.347. What is the closest to 0.1 in h, -4, 5, 0.5? 0.5 Let i = -11.3 + 11.09. Let y = i + 0.21. What is the closest to y in -0.1, 10/3, -3? -0.1 Suppose 12 = -69*r + 76*r - 3*m, 0 = -4*r - 2*m + 18. What is the nearest to 1 in 0.2, r, -9, 2/35? 0.2 Let x = 1 - 1. Let d(g) = g**3 + 7*g**2 - 7*g + 11. Let k be d(-8). Let l = 26769 + -133841/5. Which is the nearest to x? (a) l (b) -1 (c) k a Let d = -2 + -14. Let h = 0.23 - 12.23. Let v = d - h. Which is the nearest to 0? (a) v (b) 2/3 (c) 4/7 c Let i be (-24)/(-1)*(-350)/1000. Which is the nearest to 1/2? (a) 1 (b) -2/5 (c) i a Let j = -2/265 - 508/2915. Which is the closest to -1/2? (a) j (b) 3 (c) -1/13 (d) 5 a Let t = -6628.4 + 6623.4. Suppose 2*l + 16 = -m - 2*l, 46 = -5*m - 3*l. Let v be 8/(-6)*(-1)/6. Which is the nearest to m? (a) -4 (b) v (c) t c Let f = 5 + -3. Let c be (-1)/5*945/(-18)*52/(-182). What is the nearest to 0 in c, f, -4, -7? f Let x = 3.74 - 0.74. Let v = 11.5 + -11.3. What is the closest to -1/3 in x, v, -3? v Let v = -12 + -618. Let x = 631 + v. What is the nearest to 3/4 in 3, 3/2, x, -2/13? x Suppose -40 = -5*y - 5*r, y + 26 = 6*y - 2*r. Suppose 25*m - 57 = y*m. Let g = 11/24 - -1/24. Which is the nearest to g? (a) m (b) -2/9 (c) -4 b Let z = 43.6 - 52. Let k = 11.4 + z. What is the closest to 5 in 1, k, -4? k Suppose -4*t - 2*z - 6 = 0, 7*z - 8*z = -t. Let h = 13 + 6. Let p = 17 - h. Which is the closest to t? (a) p (b) -7 (c) 6/5 a Let f = 17 - 17.06. Let g = -257 + 257. Which is the nearest to f? (a) -4 (b) g (c) 0.2 b Suppose 186*l + 10*l - 392 = 0. Which is the closest to 92? (a) l (b) 0 (c) -3 a Let v = 0.027832 - -2.972168. Let n = 416/11 - 38. Which is the closest to 12? (a) v (b) 0.4 (c) n a Let n = -59 - -237/4. What is the nearest to n in 1/15, -5, -6? 1/15 Let h = -64 - -66.55. Let s = h + 0.45. Suppose -4*p - p + 20 = 0. Which is the nearest to -2? (a) -1 (b) p (c) s a Let o = 336 - 246. Let z = 90.1 - o. Which is the nearest to 0.1? (a) z (b) 3 (c) 0.4 (d) 0.3 a Let s = -138 - -138.04. Let f = -177 + 180.04. Let l = s - f. What is the nearest to -0.5 in -1, -1/4, l? -1/4 Let c = 5.2 - 4.8. Let m = -40 - -26. Let r be (2/2)/(-16 - m). What is the nearest to -2/3 in c, 5, r? r Let u = 305.879 + -306. Let l = u - 4.879. What is the nearest to 2/5 in -2/13, -6, l? -2/13 Let n be (6/8)/((-294)/112). Which is the closest to 1? (a) -1.1 (b) -4 (c) -2 (d) n d Let y = -819 - -463. Let l = y + 354. What is the nearest to 0 in 4, 3, l? l Let s = 91.02 + -93.02. What is the nearest to 0.1 in 0, s, -2/7, 2/7? 0 Let m = 19734.7 - 19735. Let k = -9 - -6. Which is the closest to -1? (a) m (b) -5 (c) k (d) 0.6 a Let s = 3.2 + -3. Let p = 94674 - 94670. What is the nearest to 10 in 1, p, s? p Suppose -5*w = -s + 13, 5*s - 2*w - 5 = 3*w. Let u = 8050 + -8049.7. Which is the nearest to 2/3? (a) 14 (b) 0.4
{ "pile_set_name": "DM Mathematics" }
5 + -251. Which is the closest to -0.1? (a) 5/2 (b) 2/15 (c) t b Let w = 2.4 - 6.4. Let f = -4 - -6. Let x = f + -1. What is the closest to x in 0.3, -3, w? 0.3 Let o(t) = 3*t**2 - 3. Let m be o(4). Let h be 8/(-45) - 10/m. Which is the closest to h? (a) 0.4 (b) -5 (c) -0.5 c Let g = 64 + -43. Let f = 21.3 - g. Which is the closest to 0.2? (a) -0.3 (b) 2 (c) f c Let b be ((-2)/5)/(9/15). Let l = 4 + -2. Let x = 2.5 - l. What is the closest to -1 in b, x, -2? b Let c = -3 + 3.6. Let z = c + -0.4. Let i = -0.7 + -2.3. What is the closest to z in i, 3, 1? 1 Let g = -2 + 4. Let y = -2.3 + g. Which is the nearest to -1/2? (a) -4 (b) -1/10 (c) y c Let h = -4.1 - -0.1. Which is the closest to -3? (a) h (b) -3 (c) 7 b Let k = 4 + -5. Let q = k + 2. What is the nearest to -2/7 in q, -3, 0.4? 0.4 Let h = 149 + -149.2. Let g = 2 - 3. What is the closest to h in 3, -5, g? g Let x = 21.02 + 1.38. Let g = -22 + x. What is the nearest to -2/7 in 2/7, g, -2/7? -2/7 Let u = 3.5 - 0.5. Which is the nearest to u? (a) 1 (b) 0.4 (c) 4 c Let y = 0.412 + 0.048. Let j = -0.09 - y. Let f = 0.05 + j. Which is the nearest to -2/5? (a) 4 (b) -3 (c) f c Let w be ((-2)/(-3))/((-11)/(-3)). Let t(z) = -z - 27. Let f be t(-26). Which is the closest to 0.1? (a) -2 (b) w (c) f b Let w = 0.09 + -0.07. Let d = w - 0.12. What is the closest to d in 5/2, 3/5, -5? 3/5 Let h be 9*4/(0 - -2). Suppose 0*t = -3*t - m + h, 2*t - 5*m = 29. Let u = 3 - t. Which is the closest to -1? (a) 3 (b) u (c) 0.3 c Let j = 5/4 - 19/12. Which is the nearest to -0.1? (a) j (b) -4 (c) 2 a Let y = 0.26 - 4.06. Let p = y - -4. Which is the closest to 1? (a) 3 (b) 0.3 (c) p b Let z = 7.4 - 7. Let f = -3.6 - -3. Let b = -0.1 - f. What is the nearest to 0.1 in -2/3, b, z? z Let j = 3 + -2.5. Let w = -105 + 1153/11. Let o be (-2)/(-6) + 8/(-6). Which is the nearest to 1? (a) o (b) w (c) j c Let s = -4.9 + 5.1. Let r = -3 - 0. Which is the nearest to -0.4? (a) s (b) r (c) 0.1 c Let f = 248/5 - 50. Let q be 8/(-20)*(-5)/7. Let t = 41/222 + -2/111. Which is the nearest to -1/3? (a) t (b) q (c) f c Let m = 8 + -7. Let i = 1.4 - m. What is the closest to -1/2 in 1/11, i, -1? -1 Let a = 19 - 20. Let z be (-22)/40 - (-2)/(-8). What is the closest to 0 in z, a, -2? z Let i = -203/4 - -51. Let p = -0.3 - -0.1. Let z = -75 - -80. What is the nearest to i in z, 3, p? p Let o = 5.7 + -6. Let g = -1.3 - o. Let z = g - 0. What is the closest to z in -0.3, 3/5, -0.4? -0.4 Let f = 67/130 - 8/13. What is the nearest to 0 in 0.5, 1, f? f Let j = -6 - -5.8. What is the nearest to 2/9 in -1, -3/7, j? j Let x = 2 - 2.04. Let s = x + -0.06. Which is the nearest to 2/9? (a) s (b) -1/2 (c) 2/3 a Let n = -7 + 8. Let t(u) = u**3 + u**2 + u + 26. Let s be t(0). Let a be (6/s)/(12/8). What is the nearest to n in a, 3, -0.1? a Let k = 0.16 - -0.34. What is the nearest to -1 in -2/5, k, -2? -2/5 Suppose 5*j - j - 4 = 0. Which is the closest to 0? (a) -2/21 (b) -2/11 (c) j a Let w = -0.092 - 0.408. Let d = -192 + 1726/9. Which is the closest to 1? (a) d (b) -0.2 (c) w b Let w = -6 - 3. Which is the closest to 2/3? (a) w (b) 2/15 (c) 1 c Suppose z - 2*o - 2 = 5, -3*o - 18 = -3*z. Let r be (-8)/(-5)*-1*z. Let d be (-5)/2 + r/(-16). Which is the nearest to 1? (a) 3/4 (b) 3 (c) d a Let z be 32/(-12) + 2 + (0 - -1). Suppose 3*r = 2*d + 1, 0 = -3*r - 3*d - 0*d + 6. What is the nearest to z in r, -0.2, -0.4? -0.2 Let z = 0.69 + 0.31. Which is the nearest to z? (a) -4 (b) 0 (c) 1 c Let m = 8 + -6. Let k = -96 - -101. Suppose -m*w = -5*g - 2 + 5, 0 = -w + k*g - 4. What is the closest to 0 in w, -4, -5? w Let u be (3/(-45))/((-1)/(-3)). What is the closest to 0 in u, -3/7, 0.4? u Let t = 24.7 - 25. Let j = 0.04 - 3.04. Let u be 1/(-3)*6/14. What is the closest to 3 in j, t, u? u Let c = 15 - 14. Suppose 5*l = 5*k - 40, 6*l - 16 = -2*k + 2*l. Suppose 0 = j + p - 2, 4*j - 5*p = k. What is the closest to c in 0.4, j, 1? 1 Suppose -14*o = -12*o - 10. Let h be 1*1/19*-2. Let p = -1.1 + 0.1. What is the nearest to 0.1 in o, p, h? h Let t
{ "pile_set_name": "DM Mathematics" }
4337 What are the prime factors of 237590981? 237590981 What are the prime factors of 78456800? 2, 5, 101, 971 List the prime factors of 296664051. 3, 23, 769, 5591 List the prime factors of 2380398444. 2, 3, 1543, 42853 What are the prime factors of 1623492230? 2, 5, 857, 189439 What are the prime factors of 709477? 307, 2311 List the prime factors of 1792255301. 1792255301 What are the prime factors of 677664791? 167, 4057873 List the prime factors of 275530701. 3, 41, 83, 137, 197 What are the prime factors of 150806711? 11, 17, 806453 List the prime factors of 39949973. 7, 37, 154247 List the prime factors of 140692033. 41, 353, 9721 What are the prime factors of 5183037384? 2, 3, 7, 17, 167, 10867 List the prime factors of 1923964956. 2, 3, 577, 92623 List the prime factors of 86712691. 13, 23, 79, 3671 List the prime factors of 1316201796. 2, 3, 7, 13, 401771 List the prime factors of 5160720964. 2, 7, 26330209 What are the prime factors of 127197273? 3, 7, 6057013 What are the prime factors of 396396154? 2, 7, 11, 181, 14221 List the prime factors of 53867512. 2, 6733439 List the prime factors of 1764469892. 2, 139, 313, 10139 List the prime factors of 2172175401. 3, 11, 43, 1530779 What are the prime factors of 65553983? 11, 199, 29947 List the prime factors of 116404080. 2, 3, 5, 13, 37309 List the prime factors of 327636371. 41, 131, 61001 List the prime factors of 71332845. 3, 5, 4755523 What are the prime factors of 823622155? 5, 397, 414923 List the prime factors of 747087354. 2, 3, 13, 163, 6529 What are the prime factors of 1238385345? 3, 5, 82559023 List the prime factors of 553818030. 2, 3, 5, 211, 87491 What are the prime factors of 51256787? 1013, 50599 List the prime factors of 94739416. 2, 709, 16703 What are the prime factors of 1317579564? 2, 3, 7, 23, 681977 List the prime factors of 2735556965. 5, 547111393 What are the prime factors of 147488743? 147488743 What are the prime factors of 1760356818? 2, 3, 11, 71, 125221 What are the prime factors of 318435962? 2, 13, 1237, 9901 List the prime factors of 34248665. 5, 11, 47, 13249 What are the prime factors of 22222255? 5, 11, 23, 1597 List the prime factors of 552645680. 2, 5, 31, 222841 What are the prime factors of 43265084? 2, 10816271 What are the prime factors of 298577625? 3, 5, 709, 1123 What are the prime factors of 101806676? 2, 17, 73, 20509 List the prime factors of 555869453. 19, 67, 353, 1237 List the prime factors of 47179995. 3, 5, 37, 85009 What are the prime factors of 129482766? 2, 3, 7, 342547 What are the prime factors of 333611768? 2, 7, 2027, 2939 List the prime factors of 4637516753. 62323, 74411 List the prime factors of 57170763. 3, 13, 488639 What are the prime factors of 1208065027? 13, 9601, 9679 What are the prime factors of 31865101? 31865101 List the prime factors of 179007914. 2, 181, 494497 List the prime factors of 1569753405. 3, 5, 11, 461, 2293 What are the prime factors of 158743530? 2, 3, 5, 11, 43, 113 What are the prime factors of 208630475? 5, 8345219 What are the prime factors of 3873022155? 3, 5, 41, 699733 What are the prime factors of 5248611864? 2, 3, 29, 313, 2677 What are the prime factors of 5201252461? 701, 7419761 What are the prime factors of 5419842732? 2, 3, 37, 709, 1913 List the prime factors of 17495040. 2, 3, 5, 17, 67 What are the prime factors of 4149877971? 3, 23, 5953, 10103 What are the prime factors of 168644882? 2, 7, 43, 457, 613 List the prime factors of 373653506. 2, 17, 19, 67, 89, 97 List the prime factors of 4687355. 5, 31, 30241 What are the prime factors of 235584669? 3, 233, 337031 What are the prime factors of 232864539? 3, 77621513 What are the prime factors of 137885382? 2, 3, 2553433 What are the prime factors of 662984476? 2, 7, 11, 23, 31, 3019 What are the prime factors of 21104176? 2, 41, 53, 607 What are the prime factors of 33910316? 2, 11, 43, 17923 What are the prime factors of 53430178? 2, 4919, 5431 What are the prime factors of 1499059826? 2, 11, 68139083 List the prime factors of 604588219. 604588219 List the prime factors of 561677870. 2, 5, 13, 1801, 2399 List the prime factors of 64789956. 2, 3, 7, 11, 53 What are the prime factors of 67662248? 2, 8457781 What are the prime factors of 1615819417? 17, 31, 3066071 List the prime factors of 33961634. 2, 7, 37, 65563 What are the prime factors of 129024446? 2, 67, 962869 What are the prime factors of 644579304? 2, 3, 3539, 7589 List the prime factors of 487222210. 2, 5, 17, 47, 211 What are the prime factors of 80428485? 3, 5, 5361899 What are the prime factors of 1775204963? 7, 253600709 What are the prime factors of 3213399343? 7, 11, 41732459 What are the prime factors of 175751199? 3, 13, 71, 21157 What are the prime factors of 129240881? 7, 11, 239779 List the prime factors of 3724268981. 1361, 1511, 1811 What are the prime factors of 10331238? 2, 3, 109, 15797 List the prime factors of 121201145. 5, 13, 23, 81071 What are the prime factors of 1156636992? 2, 3, 7, 860593 List the prime factors of 98732635. 5, 19746527 What are the prime factors of 77705776? 2, 17, 23, 12421 List the prime factors of 1783967691. 3, 11, 37, 251, 5821 What are the prime factors of 722178697? 31, 23296087 List the prime factors of 38789822. 2, 23, 843257 What are the prime factors of 111199361? 7, 13, 1221971 What are the prime factors of 3853543830? 2, 3, 5, 128451461 What are the prime factors of 2041986097? 2041986097 List the prime factors of 939853216. 2, 29370413 What are the prime factors of 1246785251? 1246785251 What are the prime factors of 4523444645? 5, 5647, 160207 List the prime factors of 35524599. 3, 11,
{ "pile_set_name": "DM Mathematics" }
he first derivative of k**4 - 13*k**2 - 2404? 4*k**3 - 26*k What is the third derivative of -56*w**3*z**5 - 3*w**3 - 2*w**2*z**2 + 5*w*z**6 + 83*z**2 wrt z? -3360*w**3*z**2 + 600*w*z**3 Find the second derivative of 16*g**5 + 5*g**3 - 14*g**2 + g - 5288. 320*g**3 + 30*g - 28 Find the second derivative of -3*i**2 + 14*i + 3 wrt i. -6 Find the second derivative of -357*r**3*t**3*v**2 + 7*r**3*t**3*v - r**3*t**2 - r**2*t**2 - 3*r*t**3*v wrt v. -714*r**3*t**3 Find the second derivative of -2*b*j**2*n - 2*b*j*n**3*z - b*j + 2*b*n**2 + 2*j**2*n**3 - 24*j**2*n*z + j**2*z + 3*j*n**2*z - 2*n wrt j. -4*b*n + 4*n**3 - 48*n*z + 2*z What is the third derivative of -l**5*s**2 - 105*l**5 + 135*l**2*s + 2*l*s**2 wrt l? -60*l**2*s**2 - 6300*l**2 What is the third derivative of -3*u**5 + 30*u**4 - 2*u**2 + 97? -180*u**2 + 720*u Find the second derivative of 4*l**3*z**3 + 61*l**2*z**3 + 2*l*z**3 - 109*l*z wrt l. 24*l*z**3 + 122*z**3 What is the second derivative of -190*x**4 + 2*x**2 - 1373*x wrt x? -2280*x**2 + 4 What is the derivative of -25*c**3*u - 6*c**3 - 9*c - 2*u wrt u? -25*c**3 - 2 What is the derivative of 2*g*r + 2984*g - 3674*r - 2 wrt r? 2*g - 3674 Find the first derivative of 8*c**3*n**3 - 39*c**3 - 9094*n**3 wrt c. 24*c**2*n**3 - 117*c**2 Find the third derivative of -2363*b**2*k**3 + 14*b**2*k**2 + b**2*k - 25*b*k**2 wrt k. -14178*b**2 Find the first derivative of -i**4 + 182*i**2*s + 243*s wrt i. -4*i**3 + 364*i*s Differentiate 4*b*d**2*o**3 + 163*b*d**2*w + 9*d**2*o**3 - d**2*o*w + 3*d**2*w + 2*d*o**3 with respect to b. 4*d**2*o**3 + 163*d**2*w What is the second derivative of -2*r**3 + 1243*r**2*v**2 + r*v**2 + 2*r*v + 15*r + 80 wrt r? -12*r + 2486*v**2 What is the third derivative of -44*a**3*c**3*o + 11*a**3*c*o**3 - 7*a**2*c**3*o**2 + 3*a**2*c**2*o**3 + 4*a**2 + 3*a*c**2*o**2 wrt a? -264*c**3*o + 66*c*o**3 What is the first derivative of 113*r**4 - 1187? 452*r**3 Differentiate -12*g**4*y**2 + 3*g**2*y**2 + 3*g**2 - 618*y**2 with respect to g. -48*g**3*y**2 + 6*g*y**2 + 6*g What is the second derivative of f*t**2 + 16*f + 5*t**5 + 9*t**2 - 12*t wrt t? 2*f + 100*t**3 + 18 Differentiate 2185*f**2 - 5897. 4370*f Differentiate 718*s - 1518 wrt s. 718 What is the second derivative of 251*h**2 + 793*h wrt h? 502 Differentiate -14209*f**2*q + q - 4518 with respect to f. -28418*f*q Find the second derivative of 1931*k**2 - 503*k + 2 wrt k. 3862 Find the third derivative of -s**4 + 110*s**3 + 6*s**2 - 19 wrt s. -24*s + 660 What is the second derivative of j**2*q**2*w**2 - 158*j**2*q**2*w + 2*j**2*q**2 - 2*j*q**2 + 142*q**2*w**2 wrt w? 2*j**2*q**2 + 284*q**2 What is the first derivative of 366*u**2 - 5*u + 2975? 732*u - 5 What is the second derivative of -2786*j**2 - 3091*j? -5572 Find the second derivative of 287*f**5*j + 2*f**5 - f + 17*j - 3 wrt f. 5740*f**3*j + 40*f**3 Find the third derivative of 231*g**2*v**3 - 199*g**2*v**2 + 8*g**2*v - 8*g*v**4 wrt v. 1386*g**2 - 192*g*v What is the first derivative of 2*f**2*x + 3*f**2 - 3*f*x**3 + 7*x + 41 wrt x? 2*f**2 - 9*f*x**2 + 7 What is the derivative of 4*j**2 - 69*j + 477 wrt j? 8*j - 69 What is the third derivative of 3*k**5 - 16*k**4 + 143*k**2 wrt k? 180*k**2 - 384*k What is the third derivative of 2*o*v**3*y**3 + o*v + 155*o*y**3 - 3*v**3*y**2 - 19*y**2 wrt y? 12*o*v**3 + 930*o What is the third derivative of -156*r**3 - 2*r**2 + 62*r? -936 Differentiate -42*c**4*v**2 - c**2*v**2 - 357*v**2 wrt c. -168*c**3*v**2 - 2*c*v**2 Find the first derivative of -2*v**2 + 25*v + 134 wrt v. -4*v + 25 What is the derivative of -540*b*k*p**3 - 42*b*p - 2*b + p**3 wrt k? -540*b*p**3 What is the derivative of -5*f**4 + 11*f + 532? -20*f**3 + 11 Find the second derivative of -5*q**3*s**3 - q**3*s**2 - 57*q**3 + q**2 - 4*s**4 + 2*s wrt s. -30*q**3*s - 2*q**3 - 48*s**2 Find the third derivative of -12*c*h**5 + 5*c*h**3 + 3*c*h**2 - 2*c*h + 2*h**5 + 4*h**2 wrt h. -720*c*h**2 + 30*c + 120*h**2 What is the first derivative of 61*h**3*u**2 + h**3*u*x - 4*h**3*x - 6*h**3 - h*x + u**2 wrt u? 122*h**3*u + h**3*x + 2*u Differentiate -12608*p - 2875 wrt p. -12608
{ "pile_set_name": "DM Mathematics" }
- -2352? 2345.16767345 -5 - -157782566597 157782566592 What is 3.29128 minus -1717916? 1717919.29128 What is -1.32303 - 458722219? -458722220.32303 What is the distance between 3715458383 and -255? 3715458638 Calculate 1535.8728 - 4.896651. 1530.976149 Work out -45.64441 + -1906917. -1906962.64441 Calculate 0.288 + 16451815560. 16451815560.288 What is the distance between 150082.5286824 and 287? 149795.5286824 Sum 12.7651629893 and -5. 7.7651629893 11835193823421 - -0.4 11835193823421.4 What is -18542465 minus -13244? -18529221 What is the difference between -10469054035026 and 0? 10469054035026 Subtract -2460844138 from 2620. 2460846758 -337451294.6793 - -0.01 -337451294.6693 What is the difference between -2 and 280146222.2482? 280146224.2482 Calculate -1909 - -1511158353. 1511156444 What is -49.2760843298 - 83? -132.2760843298 What is 0.228935 + -294555474? -294555473.771065 Subtract -3283244028900 from 0.03. 3283244028900.03 -5576 + -11444856 -11450432 Work out -0.7 + -11037470060. -11037470060.7 What is -659 minus 74080.98962? -74739.98962 5 + 2.7551100205231 7.7551100205231 Put together -3 and -382461700.69. -382461703.69 What is the difference between 790 and -11161882464? 11161883254 748576913960 - -6 748576913966 -104139 - 0.0627432 -104139.0627432 Calculate -35667945 + 0.0011. -35667944.9989 Calculate 20 + -0.12898196226367. 19.87101803773633 -329146 + -5.1166882 -329151.1166882 Put together 334384031 and 6482. 334390513 9153920409570 - -1 9153920409571 What is -1.88 + 941986886? 941986884.12 What is -0.5 take away 7125594257? -7125594257.5 What is 42 plus 3400888291? 3400888333 Subtract -682122861 from 17. 682122878 What is -0.07545539703 minus 0.12127? -0.19672539703 -242280612+-1121 -242281733 What is -19 + -108940.41923? -108959.41923 Sum 0.03375044 and -208466. -208465.96624956 What is the difference between -18410216842030 and 4? 18410216842034 Total of -5 and 34003508576. 34003508571 What is 1920.71263548 minus -0.3? 1921.01263548 Work out 4361.9 + 11.26390787. 4373.16390787 Add -2544542556 and -15. -2544542571 Add together 2 and -0.088982876992. 1.911017123008 Sum -39.25 and -9460230862. -9460230901.25 What is 515620 less than -2860907? -3376527 What is the difference between 15.486 and -0.073805493? 15.559805493 Work out 0 - -949890392223. 949890392223 What is 0.92577 minus 5.0190026? -4.0932326 Put together 43037960630 and -2. 43037960628 What is -0.2 plus -375747.1042214? -375747.3042214 Calculate 1016 - -70571667.3. 70572683.3 What is -0.050595463 plus -1967? -1967.050595463 Work out 7793478000 - 2887. 7793475113 -6583.4 - 35038.6 -41622 What is 104.62638 take away -49.06037? 153.68675 What is 33105285650 less than -134? -33105285784 -116768748271 + -0.145 -116768748271.145 What is 37222826.221 less than -67? -37222893.221 1.3926754+-212976 -212974.6073246 -0.3235321224 + 19766 19765.6764678776 Calculate 0.56 + -1.115630584. -0.555630584 -0.036495+-3080571 -3080571.036495 Work out 3896123 - -1233775. 5129898 What is 0.9 less than 3885403834.551? 3885403833.651 Sum -1035514.6151267 and -2. -1035516.6151267 What is 0.0691820598 take away 1.5101? -1.4409179402 Add together -2.168987 and 55.207. 53.038013 What is 343.1 take away 22376492877? -22376492533.9 Subtract 0.02 from -27.188988179. -27.208988179 What is -4019.86 plus -79027593? -79031612.86 What is -3 take away 35201547787? -35201547790 Add together 25 and 12121192940. 12121192965 Add 8274052 and 60703769. 68977821 What is 898460104 + -1.8? 898460102.2 What is -0.049826 take away -1335007? 1335006.950174 Put together -14.14 and 52252963848. 52252963833.86 Work out -4 - -32419941111. 32419941107 What is 286048214059 - 0.2? 286048214058.8 Calculate -0.098 + -0.0707746956325. -0.1687746956325 Work out -0.03524 - -4716774.3983. 4716774.36306 46164808 - -365028 46529836 Add -23.4 and 4304205608. 4304205584.6 What is the difference between -313 and -231.578665? 81.421335 What is -20.7114 + -1182884? -1182904.7114 What is 4 minus -218291773157819? 218291773157823 -5+3325767296761 3325767296756 Calculate 556646816 + -22.0068. 556646793.9932 Total of -6443227518 and -5. -6443227523 Put together 53.91 and 10467029. 10467082.91 What is 287026 + 210839.464? 497865.464 What is 2481610 minus -10163337? 12644947 -3942073408381 + 2 -3942073408379 Total of 6.4513 and -14.28475129. -7.83345129 Work out 0.052992 + 102370533. 102370533.052992 2750066+-16992.339 2733073.661 What is the difference between 17891371 and 14.129? 17891356.871 Total of -0.6 and -1018415054507.2. -1018415054507.8 3 - -1358435939126 1358435939129 Calculate 3783719527
{ "pile_set_name": "DM Mathematics" }
ommon multiple of 92610 and 90? 92610 What is the common denominator of -77/52 and 53/10456? 135928 What is the least common multiple of 632 and 5688? 5688 What is the least common multiple of 129050 and 623? 903350 What is the smallest common multiple of 40 and 23671? 946840 Calculate the lowest common multiple of 51405 and 14900. 1028100 Find the common denominator of -143/60 and 109/1233000. 1233000 Calculate the least common multiple of 681 and 6. 1362 Calculate the smallest common multiple of 519390 and 34626. 519390 Calculate the common denominator of 16/81 and 187/6390. 57510 What is the lowest common multiple of 5224 and 653? 5224 What is the common denominator of -77/2340 and 121/36? 2340 What is the common denominator of -47/258687 and -2/2673099? 8019297 What is the common denominator of 5/8 and -49/12200? 12200 Find the common denominator of 53/9375 and -97/36. 112500 Calculate the common denominator of -63/25850 and 44/3675. 3799950 Calculate the least common multiple of 6 and 19432. 58296 Find the common denominator of 113/390488 and -11/23121. 3514392 What is the common denominator of 109/1480 and 77/19832? 99160 What is the common denominator of 61/119 and 6/61? 7259 Find the common denominator of 23/737344 and 19/8992. 737344 Calculate the common denominator of -61/56 and -48/16639. 133112 What is the least common multiple of 954 and 19769? 355842 Find the common denominator of 107/72456 and 41/40. 362280 What is the least common multiple of 68280 and 426750? 1707000 What is the least common multiple of 36 and 11385? 45540 What is the least common multiple of 24 and 19800? 19800 Calculate the smallest common multiple of 2862 and 540. 28620 Find the common denominator of -151/13494 and -17/5709. 148434 What is the smallest common multiple of 136052 and 13? 1768676 What is the smallest common multiple of 19 and 1915? 36385 What is the common denominator of 28/52155 and -24/5795? 52155 Find the common denominator of 127/162 and -179/49140. 147420 What is the common denominator of -43/121 and 52/4609? 50699 Calculate the common denominator of -50/1272799 and -14/157. 1272799 Calculate the common denominator of 37/15048 and 73/660. 75240 What is the common denominator of -103/10180 and 16/135? 274860 What is the least common multiple of 102 and 52581? 105162 Calculate the lowest common multiple of 693 and 4284. 47124 What is the smallest common multiple of 46840 and 23420? 46840 What is the common denominator of -81/11984 and 65/256158? 2049264 Calculate the lowest common multiple of 200232 and 7776. 800928 Calculate the common denominator of 37/8 and 48/1415. 11320 What is the common denominator of -67/27 and -155/230376? 2073384 What is the smallest common multiple of 345 and 3510? 80730 Calculate the least common multiple of 288 and 22044. 529056 Calculate the common denominator of 6 and 125/7464. 7464 Find the common denominator of -71/51 and 3/23419. 1194369 Calculate the common denominator of 109/35938 and 99/136. 143752 Calculate the least common multiple of 176168 and 74176. 1409344 What is the smallest common multiple of 2952 and 5904? 5904 What is the smallest common multiple of 391333 and 30779? 2739331 Calculate the least common multiple of 3496752 and 22. 38464272 What is the common denominator of -66/4715 and 19/14145? 14145 What is the common denominator of -131/88872 and -22/35? 444360 Calculate the least common multiple of 1523 and 13. 19799 Find the common denominator of 31/4622 and 31/33. 152526 Calculate the smallest common multiple of 72 and 45918. 183672 Calculate the smallest common multiple of 2562 and 2. 2562 What is the common denominator of -67/8 and -23/3424? 3424 Find the common denominator of 19/360 and -173/568890. 2275560 Find the common denominator of -157/566016 and -63/176. 566016 What is the least common multiple of 1647 and 16287? 146583 Calculate the common denominator of 101/103480 and 101/130. 103480 Calculate the common denominator of 27/3808 and -91/1088. 7616 Calculate the common denominator of 3/64 and -93/39136. 78272 What is the smallest common multiple of 3372 and 7587? 30348 What is the common denominator of -93/1274 and 57/56? 5096 What is the smallest common multiple of 50202 and 20? 502020 Find the common denominator of 38/637 and -21/389. 247793 Calculate the common denominator of 117/12830 and 61/184752. 923760 What is the common denominator of -11/106488 and -47/141984? 425952 What is the common denominator of -12/54985 and -1/50? 549850 Find the common denominator of 89/146 and 16/255. 37230 Calculate the common denominator of 89/15854228 and 53/12. 47562684 What is the lowest common multiple of 1264 and 1264? 1264 What is the smallest common multiple of 2981100 and 57000? 29811000 Calculate the least common multiple of 14688 and 1296. 44064 Find the common denominator of -37/6268 and 43/1764. 2764188 Calculate the smallest common multiple of 16 and 28396. 113584 What is the smallest common multiple of 1370460 and 15470? 23297820 What is the common denominator of 79/4275 and -103/150? 8550 Find the common denominator of -107/18 and -45/26786. 241074 Calculate the lowest common multiple of 132210 and 24. 528840 Find the common denominator of 13/97856 and -47/97856. 97856 What is the common denominator of 33/503396 and -41/18? 4530564 Calculate the smallest common multiple of 140 and 120220. 841540 What is the smallest common multiple of 35156 and 1870? 175780 What is the common denominator of 59/222824 and 11/288? 8021664 Find the common denominator of 53/314574 and -89/14170. 1572870 Calculate the common denominator of -149/9750 and 59/2600. 39000 What is the common denominator of -73/6324 and 31/11662? 2169132 Calculate the lowest common multiple of 50 and 2350. 2350 Calculate the lowest common multiple of 58500 and 269100. 1345500 Calculate the lowest common multiple of 19416 and 4854. 19416 Calculate the lowest common multiple of 38255 and 15302. 76510 What is the least common multiple of 10449 and 135? 52245 Calculate the smallest common multiple of 4115 and 1100. 905300 What is the lowest common multiple of 3033 and 189057? 567171 What is the lowest common multiple of 41640 and 33312? 166560 Find the common denominator of 99/202792 and 43/40. 1013960 What is the common denominator of 16/13197 and 151/42? 184758 What is the lowest common multiple of 4680 and 315? 32760 What is the common denominator of -145/936 and -89/16132? 3774888 What is the least common multiple of 1046615 and 345? 3139845 Calculate the common denominator of 53/9074 and -37/674. 3057938 What is the common denominator of -43/10 and -41/160020? 160020 Calculate the lowest common multiple of 122649 and 21. 858543 What is the common denominator of -47/319076 and -87/3509836? 3509836 What is the smallest common multiple of 6062 and 2083596? 14585172
{ "pile_set_name": "DM Mathematics" }
. -5*i*(i - 4)*(i - 1)/2 Determine k so that -4*k**3 + 1/4*k**5 + 0 - k**4 + 12*k + 4*k**2 = 0. -2, 0, 2, 6 Let o(p) be the third derivative of 1/630*p**7 + 0 - 7/18*p**4 - 9*p + 6*p**2 + 10/9*p**3 + 1/36*p**6 - 1/60*p**5. Find t such that o(t) = 0. -10, -2, 1 Let x(f) = 8*f**2 + 14*f + 10. Let b(h) = -41*h**2 - 69*h - 51. Let y = 55 + -9. Let j = y + -48. Let z(u) = j*b(u) - 11*x(u). What is d in z(d) = 0? -2, -2/3 Let q(p) be the first derivative of -p**3/3 - 11*p**2/2 + 29*p - 83. Let o be q(-13). Let 3/4*l**2 + 3/4*l**4 + 0*l + 2*l**o + 0 - 1/2*l**5 = 0. Calculate l. -1, -1/2, 0, 3 Let n = -1538/3 + 7693/15. Suppose 2*b + 0*b - 6 = -3*x, 15 = -x + 5*b. Factor 0 + x*i**2 - n*i**3 + 1/5*i. -i*(i - 1)*(i + 1)/5 Let i be (-18)/9*(-44 + 42). Let q(s) be the first derivative of 0*s - i*s**2 - 9*s**4 - 2/3*s**6 + 28/3*s**3 - 14 + 4*s**5. Factor q(u). -4*u*(u - 2)*(u - 1)**3 Suppose 4 = 3*m - 11. Factor 0*u**m - 1 - u**4 + 35*u**2 + u**5 - 2*u - 33*u**2 - 2*u**3 + 3*u. (u - 1)**3*(u + 1)**2 Determine l so that -6*l**2 - 123*l**4 + 54*l**4 + 73*l**4 - 10*l**2 = 0. -2, 0, 2 Suppose -11*w - 2 + 46 = 0. Let s be -1 + (-7)/(-2) + w/(-8). Factor -1/5*x**3 - 3/5*x**s + 1/5*x + 3/5. -(x - 1)*(x + 1)*(x + 3)/5 Factor -16928/13 - 192/13*o**2 + 2/13*o**3 + 4968/13*o. 2*(o - 46)**2*(o - 4)/13 Let r = 64 - 113. Let t = 55 + r. Suppose -6 + 3 - 5*z**3 + t + 3*z**2 + 1 + 12*z = 0. Calculate z. -1, -2/5, 2 Let x(n) be the third derivative of 0*n**3 + 7/15*n**5 + 2/105*n**7 - 1/6*n**6 - 1/2*n**4 + 7*n**2 + 0*n - 2. Factor x(i). 4*i*(i - 3)*(i - 1)**2 Let d(k) = 19*k**2 - 2845*k + 5698. Let i(a) = 42*a**2 - 5688*a + 11397. Let c(h) = 9*d(h) - 4*i(h). Factor c(v). 3*(v - 949)*(v - 2) Suppose 40*h**5 - 2352*h - 987*h**3 + 32*h**4 - 26*h**5 - 7545*h**2 - 1163*h**2 - 671*h**3 = 0. Calculate h. -7, -2/7, 0, 12 Suppose -19*t + 5*t = -66*t - 19*t. Factor t + 0*a**2 + 0*a - 44/3*a**3 + 4/3*a**4. 4*a**3*(a - 11)/3 Let h(g) be the second derivative of 0*g**2 + 27*g + 11/28*g**4 + 3/140*g**5 + 5/7*g**3 + 0. Find s such that h(s) = 0. -10, -1, 0 Let z(w) = 4*w - 23. Let o be z(6). Let v be (-3380)/(-5148) - (o + (-8)/9). Solve -v - 2/11*q**2 - 10/11*q + 2/11*q**3 = 0. -1, 3 Let f(n) be the second derivative of -641601*n**5/10 - 1068267*n**4/2 + 16016*n**3/3 - 20*n**2 + 3995*n + 2. Suppose f(z) = 0. Calculate z. -5, 2/801 Let f(v) be the first derivative of v**6/2 + 416*v**5/15 + 986*v**4/3 - 20294*v**3/9 + 12175*v**2/6 + 1250*v - 7138. Suppose f(s) = 0. Calculate s. -25, -2/9, 1, 3 Let c(m) = -7*m - 33. Let h be c(-13). What is x in -7*x**2 + 2*x**3 - h + 3*x**3 - 47*x**2 - 114*x - 3*x**3 = 0? -1, 29 Let r(x) = -2*x - 7. Let z be r(-5). Let o be 6 + (3 - 5) + (-18)/9. Solve -4831 + 4819 + 7*b**o + 3*b**z - 3*b + 5*b**2 = 0 for b. -4, -1, 1 Let t(y) be the second derivative of y - 3/8*y**3 + 9/4*y**2 + 1/48*y**4 - 54. Factor t(c). (c - 6)*(c - 3)/4 Suppose 1152 = -19*i + 1209. Let a(d) be the first derivative of 1 + 5/3*d**i - 5/4*d**4 - 5*d + 5/2*d**2. Suppose a(c) = 0. Calculate c. -1, 1 Let u(c) = -526*c + 27354. Let w be u(52). Find x such that -10/7*x - 2/7 - 2*x**w - 6/7*x**3 = 0. -1, -1/3 Let a be 1*2 - (-66)/12. Suppose -80 = -11598*v + 11558*v. Factor -5/4*t**v - a*t + 35/4. -5*(t - 1)*(t + 7)/4 Let t(f) = 175*f**4 - 475*f**3 + 355*f**2 - 55*f. Let s(g) = 29*g**4 - 79*g**3 + 59*g**2 - 9*g. Let q(o) = -35*s(o) + 6*t(o). Find d such that q(d) = 0. 0, 3/7, 1 Let k be (-260)/325*((-25)/(-10) - 3). Factor -1/10*g**3 - 1/5 - 1/2*g - k*g**2. -(g + 1)**2*(g + 2)/10 Let y(c) be the first derivative of -7*c**6/6 - 239*c**5/5 - 2057*c**4/4 - 289*c**3/3 - 229. Factor y(l). -l**2*(l + 17)**2*(7*l + 1) Let s(k) be the third derivative of 0 - 67*k**2 - 14/15*k**5 + 1/6*k**4 + 28/3*k**3 - 1/30*k**6 + k. Determine f, given that s(f) = 0. -14, -1, 1 Factor 5/3 + 1/6
{ "pile_set_name": "DM Mathematics" }
979.95 + 1980. Let n = -2.9 + 3. Which is smaller: n or v? v Let p = 40/3 + -35/3. Let c(x) = -x + 9. Let k be c(7). Which is bigger: k or p? k Let u be 0/((5 - -1) + -3). Suppose -5*d = 2*w - 112, -5*d + w + 132 = -2*w. Let s be ((-18)/(-84))/(d/(-21)). Which is bigger: s or u? u Let l be -9*(-5 - 88/(-4)). Is -155 less than l? True Let x be (-48)/(-30) + 6/15. Suppose 50 - 48 = -x*r. Does -1/128 = r? False Let j(s) = s**3 - 11*s**2 + 11*s - 6. Let x be j(10). Suppose -34 = -2*g + 2*h, -h + 43 = -0*g + x*g. Is g bigger than 11? True Let o = 22 + -23. Suppose -9 = 4*q - 2*q + p, -25 = 4*q - 5*p. Let v be q + 12/4 + 0. Which is smaller: o or v? v Let g = -61/329 - -2/47. Let d(u) be the first derivative of -u**2 - u + 34. Let p be d(0). Which is smaller: p or g? p Let x = 796 - 795.8. Which is bigger: 5 or x? 5 Let u = 6815 + -347596/51. Is -2 less than u? True Let n(z) = -z**3 + 3*z**2 + 2*z - 12. Let t be n(6). Let g = -106 - t. Is 10/17 < g? True Let w = -5221 - -3994064/765. Which is greater: w or -1? w Let z be (1 - 0)/(45/(-45)). Which is greater: z or 8/69? 8/69 Let w(p) = -p - 3. Let x be w(0). Let g = -16/5 - x. Let z = 1837 + -1836.7. Is g at most as big as z? True Let s = -14.21 + -2.79. Which is greater: -5/4 or s? -5/4 Suppose z + 4*o = 2, z + o = 4*o + 9. Let m = z - 11. Is 4 at least m? True Suppose -4*o - 1940 = 5*v, 1285 = -4*v - 2*o - 261. Let h be (-1 - (-218)/(-12)) + (-64)/v. Is 1 > h? True Let x(u) = -u**2 - 8*u - 12. Let n be x(-6). Which is smaller: n or -4? -4 Let s = -7553/765 - -83464/32895. Let c = s + 1/387. Is c < -8? False Let r = -0.1 - -0.1. Let s = 627 + -563. Which is smaller: s or r? r Let b = 121 - 120.8. Is b < 1.1? True Let j = 41 - 17. Let f be (-7)/44 + j/(-32). Does -1 = f? False Suppose -2*m + 9*m = -7. Which is bigger: m or -2/161? -2/161 Let d = -7/17 - -69/85. Suppose 21 = -w - 3*w - 5*c, -2*w - 9 = 3*c. Let v be (-8)/(-84)*w/6. Is v greater than or equal to d? False Let c = -552249/53 + 10421. Which is greater: c or 0? c Suppose 3*s - 5*q + 235 = 0, 0 = -s - 36*q + 38*q - 77. Which is smaller: s or -83? s Suppose 0 = -5*i - 4*f - 0*f - 403, -f - 412 = 5*i. Are i and -422/5 unequal? True Let s(y) = 2*y**3 - 26*y**2 - 16*y + 3. Let b be s(13). Which is smaller: -206 or b? -206 Let q = 9 + -25. Let z = q - -19. Suppose 5*n - 5*x = 2*n + z, 5*n - 5*x = 5. Is 0 at least n? False Suppose 95*g - 225 = 90*g. Is 45 smaller than g? False Suppose 5*y - 4 = 26. Let a = -8 - -12. Let b be (-3 + y - a)/(-1). Is -2/47 equal to b? False Let u(o) = 4*o + 2. Let f be u(-1). Which is greater: f or -17? f Let y be 34/119 + (-6143)/(-182). Let q = y - 69/2. Which is smaller: 0 or q? q Let b = 212 - 211.84. Are 3 and b nonequal? True Let g = 20.7 - 0.7. Let u = g - 19.7. Is -0.1 at least as big as u? False Let r = 24355/522 - 37/174. Is r > 47? False Let u be -2 - 104/(-14) - 5. Let o(x) = x**2 - x + 1. Let k be o(2). Let q = k + -3. Which is bigger: u or q? u Suppose -8*a + 1 = -7*a. Let i be (-8)/(-5) - 2/(-5). Which is greater: a or i? i Let s(k) be the second derivative of -k**4/24 - 2*k**3/3 - 2*k**2 - 4*k. Let v(u) be the first derivative of s(u). Let r be v(-4). Which is bigger: r or 2/29? 2/29 Suppose 512 + 373 = 5*q. Let z = q + -2659/15. Let p = z - -7/15. Which is smaller: 7 or p? p Let l = 44 + -44. Which is smaller: 4/201 or l? l Let v = 309 + -919/3. Suppose 4*d - 20 + 4 = 0. Do v and d have different values? True Suppose -4*b = 4*i - 6*b - 18, b = -4*i + 27. Let s be (-5)/(-45) + (-2)/(-4)*i. Is 3 < s? True Let c be (-2)/(-8) + 82/(-8). Let y be 0/(c/(-2) + -3). Is y at most as big as -2? False Let k(i) = i**3 + 7*i**2 + i + 15. Let c be k(-7). Suppose q - c = -7. Which is greater: -1/22 or q? q Let j = 20003 - 339907/17. Which is bigger: j or 8? j Let o be (-8)/(-6) - (-10)/(-30). Let z be (-35)/78 - (-4)/12. Which is smaller: z or o? z Let c = -6.8 + 27.8. Is c at most 0? False Let o be (4/42)/((-13)/7020). Let p = 6854/133 + o. Which is smaller: 0.1 or p? 0.1 Let c = -1 - -3. Suppose a = -c*a + 9. Let b(m) = -3*m - 30. Let s be b(-11). Is a greater than s? False Suppose -2*g + 2*n = 264, g + n = 5*n - 135. Are g and -2/3 unequal? True Let j = -3602/15 + 240. Is 12 < j? False Let y = -66.43 - -66. Let u = y + 1.43. Does u = 12? False Let z = -1.1 + 0. Suppose 39*m = 41*m + 5*r + 27, 0 = 2*m - 3*r - 13. Is z greater than m? False Let u be (108/(-210))/((225/(-42))/(-5)). Let w = u + 67/25. Which is bigger: 1 or w? w Let x = 6 + 16. Suppose -x = -5
{ "pile_set_name": "DM Mathematics" }
2*m**2 + 1. Let p be u(-1). Let j(f) = -2*f. Let i be j(-2). Suppose 0*r + i*k = -r - 9, -2*r + 26 = -3*k. Solve r*z = p*z + 12 for z. 3 Let i be ((-6)/8 - 0)*-4. Let g(u) = u**2 - 12*u + 7. Let k be g(8). Let m = k - -27. Solve -i*h + m = 11 for h. -3 Suppose k - 1 = -0*k. Let h = k + 2. Solve 0 = -h*i + 5 + 7 for i. 4 Let b be (-1 - 3/5)*-20. Suppose 0 = -a - 3*a + b. Suppose 0*y + a = 2*y. Solve -k + 12 = -y*k for k. -4 Let s = -21 - -27. Solve 4*n = 2*n + s for n. 3 Let p(m) = -m**3 - 2*m**2 - 3*m - 1. Let x be p(-2). Suppose x*w - t = 24, -w = w - 2*t - 16. Solve -w*b + 1 = -15 for b. 4 Suppose 2*r - 22 = -0*r. Let u = r - 7. Solve -2*z - 4 = -u*z for z. 2 Let c be 48/8*(-1)/(-2). Solve -2*x + 5 = -c*x for x. -5 Let d(i) = -4*i - 2. Let j be d(-4). Let a = -10 + j. Solve -a*v = v for v. 0 Let v(l) be the second derivative of -l**3/6 + 6*l**2 - 4*l. Let r be v(8). Solve 5*n = r*n for n. 0 Suppose -2*n - 5*v - 20 = -v, 0 = -2*n + 2*v + 10. Solve -5*f + 15 + 10 = n for f. 5 Let w be 30/4*(-2)/(-3). Let h = -2 + -1. Let u be (8/h)/4*-9. Solve -w*a + u = 1 for a. 1 Let p(j) be the third derivative of -j**4/8 + j**3/2 - 2*j**2. Let n be p(-4). Solve 3*z - n = -0*z for z. 5 Let q(t) = t**2 + 4*t + 1. Let x be q(-4). Suppose -7 + x = -3*v. Suppose 0 = v*l - 4*l. Solve l*u = u for u. 0 Let z(m) = 4*m**2 - 2*m + 1. Let q be z(1). Let y be (-64)/(-36) - 2/(-9). Suppose 14 = 4*b - y. Solve j + q*j = -b for j. -1 Let n(y) = 2*y**3 - 4*y**2 + 2*y. Let i be n(2). Suppose t + 9 = i*t. Let q(u) = u**2 - u - 1. Let w be q(t). Solve w*l + 8 = -17 for l. -5 Suppose 4*c - 5 = 7. Suppose -2*t - 4 = 4*a, c*t - 3 = 3*a + 5*t. Let u be (-4)/(-5)*(a - -6). Solve -u*d - 8 = 12 for d. -5 Let w be (-1 - 3/2)*-2. Suppose -w*x + 27 = 7. Solve x*j = 2*j for j. 0 Let d be 12/36 - (-4)/6. Solve 4 = j + d for j. 3 Let l be -4*(-2)/(-8)*-2. Suppose l*w - w = 0. Suppose -9 = -4*t - u, 0*t = -t - 3*u + 5. Solve -t*k = -w*k for k. 0 Suppose 2*u - l + 10 = 0, 3*u - 4*u = 4*l - 13. Let d = u - -9. Solve d*m - m = 10 for m. 2 Let y be 3 - 0 - (2 - 2). Suppose -4*u - 5 = u + 3*x, 4*x + 14 = -y*u. Suppose -3*a + 19 = 7*z - 2*z, 4*a = -z - 3. Solve 3*s - u*s = z for s. 5 Let k be 6 + (0 - 1)*1. Suppose -1 = -2*x + k. Suppose -8*l + 55 = -3*l. Solve 4*m + x = l for m. 2 Suppose 0*f + 5*f + 540 = 0. Let a = 12 - 8. Let d be a/10 + f/(-30). Solve p = d*p for p. 0 Suppose -5*l + 32 = 3*t, 4*t + 4*l - 46 = -6. Suppose 0 = -z + 3*q - q - t, 5*q = 5*z + 20. Solve -z = 2*y - 3*y for y. 1 Let f = -78 - -93. Solve 5 = 5*t - f for t. 4 Suppose -257 + 707 = -5*q. Let u be (-6)/10 - q/25. Solve -u*x = x for x. 0 Let m(n) = 8*n + 10. Let q be m(-1). Solve 0 = q*r + 4 + 6 for r. -5 Let z be (-3)/2*(-8)/6. Let k(c) = c**2 + 10*c + 26. Let w be k(-6). Let v be 2/4*(1 + -1). Solve v = w*b + z - 0 for b. -1 Suppose 19*f - 100 = 14*f. Let b(p) be the third derivative of p**6/120 + p**5/30 + p**2. Let j be b(-2). Solve 5*x - x + f = j for x. -5 Let c(d) = d + 1. Let m be c(-1). Suppose 2*t = 7*t - 10. Suppose m = -q - 2*k - 1, k - 3 = -t*q + 1. Solve -q*h + 1 = -2*h for h. 1 Let p be (5/2)/((-2)/(-4)). Let g = 95 + -92. Solve -p*d - 17 = g for d. -4 Suppose 2 = -2*n - 0. Let q be (n/(-1) + -1)/(-2). Solve 7*h - 2*h - 10 = q for h. 2 Suppose 0 = -3*u + 23 + 22. Suppose i + 2*i - 3 = 0. Let o = u + i. Solve -x + o = 3*x for x. 4 Let b(i) = -i**2 - 10*i - 12. Let v be b(-8). Solve -2*q + 2 + v = 0 for q. 3 Let j(p) be the third derivative of p**7/1260 - p**5/15 - 3*p**2. Let v(g) be the third derivative of j(g). Let c be v(3). Solve -c = -d - 2*d for d. 4 Suppose 2*m - 5*r + 19 = 0, -5*r = -0*m + 3*m + 16. Let b(o) be the first derivative of -o**2/2 - 5*o - 8. Let y be b(m). Solve 0 = -y*t + 7*t + 5 for t. -1 Let c = -43 + 47. Solve -c*f - 12 = -0*f for f. -3 Let v(i) = i**3 - 4*i**2 + 3*i. Let b be v(1). Solve 6 = 3*m - b*m for m. 2 Let r = 27 - 27. Solve -4 = -c - r*c for c. 4 Let s = -7 - -13. Suppose -6*p + 9*p = s. Solve 6 + p = -4*u for u. -2 Let a(y) = -12*y + 4. Let c be a(3). Let f be (-2)/6 - c/6. Suppose -2*x - f*s + 1 =
{ "pile_set_name": "DM Mathematics" }
04956 + 132961. What is v rounded to the nearest 10000? 90000 Let g(h) = 19*h**2 - 10*h - 1. Let k be (12 + -11)*1*10. Let v be g(k). Let q = 7499 - v. What is q rounded to the nearest one thousand? 6000 Let d = 15 + -98. Let b = -83.045 - d. What is b rounded to two decimal places? -0.05 Let x = -76 - -177. Let k = -100.47 - -10.67. Let v = k + x. Round v to the nearest integer. 11 Let g = -1130 + 1182.3. Round g to the nearest integer. 52 Let m = -0.522 - 13.098. Round m to zero dps. -14 Suppose 5*v + 14 - 4 = 5*k, -6 = -3*k - 5*v. Let p(l) = 301*l. Let y be p(1). Suppose 779 + y = -k*q. What is q rounded to the nearest 100? -500 Let i = 202.449 + -0.449. Let y = -202.00596 + i. Round y to three decimal places. -0.006 Let l = 4423.0004762 - 4423. What is l rounded to 4 decimal places? 0.0005 Let k = 2.9 + -3.5. Let d = k - -1.54. What is d rounded to 1 dp? 0.9 Let v = -0.00703725 + 0.0071. Round v to 6 dps. 0.000063 Let h = 15224 - 27635. Let a = h - -12405.551. Let v = -0.049 - a. Round v to 0 dps. 5 Let s = -126.3400006459 + 126.34. Round s to seven decimal places. -0.0000006 Let g = 0.0618 - 0.0618000702. Round g to 7 decimal places. -0.0000001 Let f = -42 + 15. Let o = f - -53. Let l = 26.034 - o. What is l rounded to two dps? 0.03 Let s = 1804.26 - 1832. Round s to zero decimal places. -28 Suppose -828*a = -832*a + 29372. What is a rounded to the nearest 100? 7300 Let a = -0.2114356 - -0.2115. What is a rounded to 5 dps? 0.00006 Let i = 0.0522 - -29.0478. Round i to 0 decimal places. 29 Let a = 0.505 + -0.109. What is a rounded to 1 decimal place? 0.4 Let v(s) = -3*s - 7. Let j be v(6). Let i be ((-8)/(-10))/(10/j). Let r(g) = 77*g**3 + 3*g + 2. Let b be r(i). Round b to the nearest 100. -600 Suppose 2*g - 36320 = 5*l, 10*l = 4*g + 14*l - 72696. What is g rounded to the nearest 1000? 18000 Let a(w) be the third derivative of 0 - 1/60*w**5 + 0*w - 19/6*w**3 - 2/3*w**4 + 10*w**2. Let x be a(-13). What is x rounded to the nearest 100? 0 Let c = 26774 + -26773.9988581. What is c rounded to 5 dps? 0.00114 Let l = -1282.99999904 - -1283. What is l rounded to 7 dps? 0.000001 Let y = -3015.99996646 + 3016. What is y rounded to 6 decimal places? 0.000034 Let f(i) = -333332*i - 16. Suppose 0 = -o - 4*o + 60. Let m be f(o). Round m to the nearest 1000000. -4000000 Suppose 0 = 20*i + 13 - 53. Let s be -6020005 + (12 + -2)/i. Round s to the nearest one hundred thousand. -6000000 Suppose 16856 = -5*a - 27544. What is a rounded to the nearest one thousand? -9000 Let c be -4*(-10)/(-8)*-109000. Round c to the nearest ten thousand. 550000 Let i(g) = 2*g**2 + 4*g + 3. Let x be i(-2). Suppose -j + h = 3*h + 5, 12 = x*j - 3*h. Let k be -2 - (j + -1870002) - -1. Round k to the nearest 100000. 1900000 Let g = 764512 + -420812. Round g to the nearest one hundred thousand. 300000 Let n be (-3 - -2) + 10/5. Suppose -7*j + 6*j = n. Let u be 7968/(25012/(-25000) - j). Round u to the nearest 1000000. -17000000 Let h = 0.9 + -0.61. Let v = h - -16.71. Let m = -17.00009 + v. What is m rounded to four dps? -0.0001 Let c(q) = 5425999*q**3 - 3*q**2 - 3*q - 1. Let h be c(-1). What is h rounded to the nearest one million? -5000000 Let q = 0.0629 + 261.9371. Let y = q - 262.0263. What is y rounded to three dps? -0.026 Let u = -73423 - -73433.2934. Let l = 32.7676 + u. Let m = l + -43. What is m rounded to 2 dps? 0.06 Let g = 39238.7 + -39223.69912. Let m = 13 + 2. Let b = m - g. What is b rounded to four dps? -0.0009 Let m = -1095207.99995 - -1095251. Let c = m + -43. What is c rounded to 4 dps? 0.0001 Let a = -269079944.22 - -269090890.409717. Let w = -10944.53 + a. Let k = w + -1.66. What is k rounded to five decimal places? -0.00028 Suppose 1 = -3*u + 4. Suppose -2*b + u = -3. Let d be 7292974/(-143) - b/11. What is d rounded to the nearest ten thousand? -50000 Suppose 0 = p - 6*p. Suppose 3*o = -p*a + 3*a - 13645548, 5*a - 13645540 = 3*o. Let v = o + 3148520. What is v rounded to the nearest one million? -1000000 Suppose 12*k - 3248000 = -2*k. What is k rounded to the nearest 10000? 230000 Suppose -112 = -3*q + 5*y, 5*q - y = 10*q - 224. Let g = q + -75. What is g rounded to the nearest 10? -30 Let r = 12.6 + -12. Let m = 1.5 - r. Let d = -0.4 - m. What is d rounded to 0 dps? -1 Let z = -240965.5157696 + -8.5292304. Let c = 241084.044939 + z. Let x = 110 - c. What is x rounded to five decimal places? 0.00006 Let o = -0.071 + 0.07100002. Round o to seven decimal places. 0 Let d = -0.5 + 11.1. Let j = 2.4 + d. Let g = j + -13.0000058. Round g to 6 dps. -0.000006 Let j = 20.599989 - 20.6. What is j rounded to 5 dps? -0.00001 Let o = 27269 + -16992. Let b = o + -5547. Round b to the nearest 1000. 5000 Let h = 2.77 + -3. Let l = 0.135 + h. What is l rounded to two dps? -0.1 Let v = -2 - -1.89. Let k = 3.29 - v. Let i = 3.296 - k. What is i rounded to 2 decimal places? -0.1 Let s = -0.19 + -14.06. Let q = -15 - s. Round q to 1 dp. -0.8 Let p = -0.49 + -423.
{ "pile_set_name": "DM Mathematics" }
ect to d. 62*x**2 + 2*x Find the second derivative of 2146*q**2 + 3608*q wrt q. 4292 Find the first derivative of -556*n**4 - 272 wrt n. -2224*n**3 What is the second derivative of 14*a*s**2 + 77*a*s - 2*s**2 - s wrt s? 28*a - 4 Find the third derivative of -14*k**6 - 4*k**3 - 981*k**2 wrt k. -1680*k**3 - 24 What is the second derivative of b*h - 10*b*r**4 + 6*b*r + b + 10*h*r**5 + h wrt r? -120*b*r**2 + 200*h*r**3 What is the first derivative of -375*l*q**2 + 160*l + 2 wrt q? -750*l*q Find the first derivative of 10*h*i - 60*h*n - 1022*i*n - i wrt h. 10*i - 60*n Differentiate -7*q*w**3 + 147*q + 3*w with respect to w. -21*q*w**2 + 3 Find the third derivative of -109*l**5*u - 4*l**5 + 2*l**3*u - l**2 - 461*u wrt l. -6540*l**2*u - 240*l**2 + 12*u Find the second derivative of -3*a*l**2 + 5*a*l - 8*a + 35*l**5 - l wrt l. -6*a + 700*l**3 Differentiate 111*k**2*r**3*w - k**2*r**3 - 157*k*r**3 wrt w. 111*k**2*r**3 Differentiate -220*b*l**3 + 190*l**3 with respect to b. -220*l**3 Differentiate f*q**2 - 2*f*q - 7*f*x**2 - 23*q**2 - x**2 wrt f. q**2 - 2*q - 7*x**2 What is the second derivative of 140*x**5*z - 6*x*z - 3*x wrt x? 2800*x**3*z What is the third derivative of -y**5 - 2*y**4 + 1217*y**3 + 8671*y**2 - 1? -60*y**2 - 48*y + 7302 Find the first derivative of 3688*m**4 + m**2 - 173 wrt m. 14752*m**3 + 2*m Find the first derivative of -5*r**2 - 31*r - 40 wrt r. -10*r - 31 Find the first derivative of -300*i*o - 2*i*z**2 - 12*i*z - o*z**2 wrt o. -300*i - z**2 Find the second derivative of -h**3 + 18*h**2 + 6*h - 13. -6*h + 36 Find the second derivative of 13*b*h*s**2 + b*h*s - 7*b*s - 2*h*s**3 - h*s**2 - 3*s wrt s. 26*b*h - 12*h*s - 2*h What is the third derivative of d**2*k**6 + 89*d**2*k**3 - d**2*k + d*k**2 + 312*d*k wrt k? 120*d**2*k**3 + 534*d**2 What is the first derivative of -974*q + 368? -974 Differentiate -19*k**3*x**3 - 3*k*x**3 - x**3 - 249*x**2 wrt k. -57*k**2*x**3 - 3*x**3 Differentiate -u**3 - 91*u - 192 wrt u. -3*u**2 - 91 Find the second derivative of 194*c**3 - c**2 + 20*c - 4. 1164*c - 2 Differentiate 6*p**2 - 702*p + 402. 12*p - 702 Find the first derivative of -17*i*k*m + 18*i*k*o**2 - i*m + 8*k*m*o - 2*m + 2*o**2 wrt i. -17*k*m + 18*k*o**2 - m Find the third derivative of i**4 + 103*i**3 + 2*i**2 - 4. 24*i + 618 What is the second derivative of -50*d**2*h - 6*d*h - 26*d + 2*h wrt d? -100*h What is the third derivative of 74*d**5*o + 2*d**5 - 8*d**4 + d**2*o + d**2 - 301*d*o + 3*o wrt d? 4440*d**2*o + 120*d**2 - 192*d Differentiate 1224*i**3*s**2 - 4*i*s**2 - 145*s**2 + 4*s - 2 with respect to i. 3672*i**2*s**2 - 4*s**2 Find the first derivative of -4902*f*h**2 - 2284*h**2 wrt f. -4902*h**2 Differentiate 439*q + 238 wrt q. 439 Differentiate -47*i**2*t + 5*i**2 + 4*i + 2*t**2 wrt t. -47*i**2 + 4*t Differentiate -1073*m**3 - 2*m*p**2 + 3*p**2 + 104*p - 18 with respect to m. -3219*m**2 - 2*p**2 Find the third derivative of -115*t*y**4 - 5*t*y + 3*t + 3*y**6 + 49*y**2 + y wrt y. -2760*t*y + 360*y**3 What is the derivative of 3*s**3*u - 623*s**3 - 2*s*u + 873*u - 1 wrt s? 9*s**2*u - 1869*s**2 - 2*u What is the second derivative of 11*i**3 - 11*i**2 - 197*i? 66*i - 22 What is the derivative of -66*t**3 + t**2 + 495? -198*t**2 + 2*t What is the second derivative of -1731*m**2*o**2*z**2 + 3*m**2*o**2*z + 2*m**2*o*z**2 + m**2*z**2 - 204*m*o*z**2 - 3*o*z wrt o? -3462*m**2*z**2 + 6*m**2*z What is the third derivative of -4*o**5 - o**4*v**2 - 2*o**4*v + 4*o**2*v - 7*o*v**2 - 3*v wrt o? -240*o**2 - 24*o*v**2 - 48*o*v Find the second derivative of i**2*m**2 + 2184*i**2 + 2*i*m**2 - 3487*m**2 wrt i. 2*m**2 + 4368 Find the third derivative of 6*d**2*w**3 + 2*d**2*w**2 + 38*d*w**2 + 6*w**6 + 11*w**2 wrt w. 36*d**2 + 720*w**3 What is the third derivative of -7700*i**6 + 196*i**2 + 23? -924000*i**3 Find the second derivative of -386*f**3*j**3 + 2*f**3 - 23*f*j + 4*j wrt j. -2316*f**3*j What is the derivative of 4*a**3*n**2 - 5*a**3*n*p - 6*a**3 - 3*a*n**3*p + 92*n**3*p - 5*n**3 - 2*n wrt p? -5*a**3*n - 3*a*n**3 + 92*n**3 Find the first derivative of 2144*s - 1623. 2144 What is the derivative of 6*l**2*r**2 + 2*l**2*r + 4*l**2 + 14*l - 398*r**
{ "pile_set_name": "DM Mathematics" }
= 3*w - 1733, -517 - 649 = -2*w - 2*c. Let l = w - -587. Suppose -2*d - 2*z + l = 0, 3*z - 5*z = 3*d - 1749. Is d prime? False Suppose -10*b = -5*o - 6*b - 14, -5*o - b - 9 = 0. Is (o/(16/12674))/(7/(-28)) a prime number? True Let a(u) = -u**3 + 4*u**2 + u + 9440. Let i be a(0). Suppose 5*z - 15750 = -5*v, 8*z + 5*v - i = 5*z. Is z prime? False Let u(x) = 85*x - 54. Suppose -16*s - 1 = 47. Let m(z) = 84*z - 53. Let g(n) = s*m(n) + 2*u(n). Is g(-13) a composite number? False Suppose -7*h + 55 = 4*h. Let l(s) = 14*s**3 - 7*s**2 + 14*s - 24. Is l(h) composite? False Let a(d) = -2*d**3 + 26*d**2 + d - 4. Let l be a(13). Let n(x) = 19*x**2 + 3*x - 11. Is n(l) prime? False Let d(v) = 424*v**2 + 62*v + 29. Is d(4) composite? True Let k(u) = 2794*u - 2665. Is k(86) composite? False Let s(i) = 473*i - 238. Is s(19) prime? False Let l = 243 - 250. Is -2*(l - 24210/12) prime? True Let g = -191 + 193. Suppose -2*p + 15 = p, 30791 = 3*b - g*p. Is b prime? True Let f = 37 - 29. Suppose q + f = 2*u, q + 7 - 24 = -3*u. Suppose -a = q*a - 69. Is a a prime number? True Suppose 99*j + 1173 = 38991. Is j prime? False Let t(a) = 353*a**3 + 4*a**2 - 3*a - 91. Is t(14) a prime number? False Let r = -597917 + 877428. Is r prime? True Suppose 0 = 2*y, -3*j - 3*y + 0 + 6 = 0. Suppose -j*r = -2*t - 246, 2*r = 3*r + 2*t - 111. Is r composite? True Let k be 524*(-3)/(-78) - (-36)/(-234). Suppose -19*w + k*w - x = 16709, 0 = 4*w + 4*x - 66820. Is w a composite number? True Let x be (-126)/54*(-3)/(-2)*-10. Let z be (-21)/x - (-13246)/10. Suppose -2*y - z = -6*y. Is y composite? False Let i(h) = 324*h**2 - 14*h + 10. Let y be i(7). Let f = y + -7667. Is f prime? False Suppose -3*a = 3*i - 87, 4 - 101 = -3*i - 5*a. Suppose -20*q + i*q + 5*k - 68953 = 0, -4 = -4*k. Is q prime? False Is 6/(-4)*-18 - -302536 a composite number? False Suppose 7*s - 12512 = 6*s - 3*x, -2*s + 5*x + 25035 = 0. Suppose 2*q - 3*q = 2*w - s, -w - 3*q + 6260 = 0. Is w a prime number? True Let w(q) = 51*q + 6. Let u be w(2). Let x = u - 103. Suppose -4*a - t + 26329 - 10566 = 0, 0 = -5*t - x. Is a prime? False Let y(g) = -466*g**3 + 34*g**2 + 94*g - 21. Let t(o) = -156*o**3 + 12*o**2 + 31*o - 7. Let c(p) = 7*t(p) - 2*y(p). Is c(-6) a prime number? False Let g(w) = -5*w + 17. Let n(a) = -13 - 7*a**2 - 4*a + 8*a**2 + 10*a - 6. Let d(z) = 5*g(z) + 4*n(z). Is d(-13) a prime number? False Suppose u = -236 + 52. Let o = 994 + -591. Let x = o - u. Is x a composite number? False Let r(k) = 2*k**3 + 13*k**2 + 3*k - 21. Let o be r(-6). Is (-14561)/o - (-3)/(9/(-2)) composite? True Let o(m) = 125*m**2 + 95*m + 53. Is o(19) a prime number? False Suppose t + 7 = m, -5*t - 24 + 5 = -m. Let o(n) be the third derivative of 41*n**5/60 - n**4/8 + n**3/6 - n**2. Is o(t) a composite number? False Let g = -207403 - -327340. Is g composite? True Suppose 0 = 3*w + 5*q - 1044417, 87*w + 696268 = 89*w + 5*q. Is w prime? True Let n(m) = 8686*m**2 - 51*m + 93. Is n(2) composite? True Suppose -4*r = -2*l + 2, -3*l - 2 + 12 = r. Let k = 1750 - -428. Suppose l*t + 615 - k = 0. Is t a composite number? False Suppose 56*g - 35*g = 669543. Is g a prime number? True Let m be (-1 - 0)*-1 - 1638. Suppose -37*q + 9*q = -71232. Let o = m + q. Is o prime? True Suppose j = 4*f + 71810, -j - 16207 = 3*f - 88024. Suppose 0 = -6*d + j + 141300. Is d prime? False Suppose -369 - 12120 = -3*q. Let g = q - 2920. Is g a composite number? True Let c(g) = -69*g**3 - 5*g**2 - 3*g + 6. Let t(b) = b**3 + b + 2. Let u(n) = -c(n) - 4*t(n). Is u(4) a composite number? True Let s be (12/(-45))/(3 - 235/75). Let x be -4*3/(24/(-290)). Suppose x + 1125 = s*i. Is i a composite number? True Suppose -f = k - 75873, -925*f + 920*f = -3*k + 227587. Is k prime? True Suppose a = -4*j + 2646065, 0 = 35*j - 34*j - 2*a - 661523. Is j a prime number? True Let y(o) = -3*o + 17. Let w be (2/4*-4)/((-1)/2). Let z be y(w). Is 5/z*-1 - -1004 composite? True Let j be ((-23)/8 - -3) + 760/64. Is (-33)/j*(-63 - 5) a composite number? True Let n(w) = -2*w**3 + 4*w**2 - 2*w. Let o be n(0). Suppose 6*s + 8290 - 114736 = o. Is s prime? False Suppose 0 + 0 = 6*f. Suppose n + 2*b - 6659 = f, 49234 - 15879 = 5*n - 5*b. Is n a prime number? False Let n(m) = -m**2 - 60*m + 32. Let c be n(-61). Suppose -8 = -3*o - 2*k, 6*k = 3*k + 3. Let v = o - c. Is v a composite number? False Suppose 2*l + 18 = 5*r + 4
{ "pile_set_name": "DM Mathematics" }