et a(z) be the second derivative of z**4/6 - z**3/3 + 25*z**2/2 - 99*z. Calculate the remainder when a(6) is divided by 29.
27
Let x = -34 - -40. Let b(u) = u**2 - u. Let h(k) = 7*k**2 + 2*k + 36. Let s(g) = -6*b(g) + h(g). What is the remainder when s(-9) is divided by x?
3
Let g = 9 - -348. Suppose -f + 12 = -w, -f + 31 = -2*w + 16. Calculate the remainder when g is divided by f.
6
Let u(w) = -15*w + 1370. What is the remainder when u(68) is divided by (-4)/6*162/(-4)?
26
What is the remainder when 1*(-8 - 3)*-16 is divided by 17?
6
Suppose 0 = -6*t + 261 + 327. Let v = t - 93. Suppose f - 11 = -9*y + 4*y, -v*y = -5*f + 175. Calculate the remainder when 61 is divided by f.
30
Suppose -10*p + 262 = 282. Calculate the remainder when (64 - p) + (10 - 4) is divided by 15.
12
Let i(u) = 29*u**2 - 2*u + 1. Let y be i(1). Let n = 27 - y. Let o = 18 + n. What is the remainder when o is divided by 4?
1
Suppose 1842 + 4416 = -6*w. Calculate the remainder when (8 - 30/4) + w/(-2) is divided by 75.
72
Let v = -5566 - -5588. Calculate the remainder when 22 is divided by v.
0
Let l = 266 - 262. Calculate the remainder when 80 is divided by l/(-26) - (-2196)/78.
24
Let h = 7 - 2. Let c(i) = -i**3 - 20*i**2 - 16*i + 46. Let n be c(-19). Calculate the remainder when (2/2 + -77)*n/22 is divided by h.
3
Let b be (-70)/4*144/(-15). Let t = b + -76. What is the remainder when t is divided by 47?
45
Let d = -83 - -102. Let a = 1113 - 929. What is the remainder when a is divided by d?
13
What is the remainder when 1040/((7/(-14))/(3/(-4))) is divided by 222?
6
Suppose 6431 = 5*j + 3*u, 5*u + 207 + 2353 = 2*j. Calculate the remainder when j is divided by 390.
115
Suppose -58 = -13*w - 19. Suppose i + 3*o - 29 = 0, 77 = 3*i - w*o + 2. What is the remainder when (-4)/16 - (-2430)/24 is divided by i?
23
Suppose 31601 = 103*n - 24946. What is the remainder when n is divided by 29?
27
Suppose 4*f + 177 = -2*x - 205, 0 = -5*f - 10. Let g = 226 + x. What is the remainder when 211 is divided by g?
16
Let i = -329 - -586. Suppose 5*o - i = -3*f + 261, -2*f + 367 = -o. Calculate the remainder when f is divided by 49.
34
Calculate the remainder when (-204)/306 + (-12)/(-9)*296 is divided by 19.
14
Let w = 192 - 186. Calculate the remainder when (-1)/2 - (-591)/w is divided by 33.
32
Let p(g) = -4*g**2 + 11*g - 31. Let u(q) = q**2 - 1. Let s(t) = p(t) + 5*u(t). Calculate the remainder when s(-15) is divided by 7.
3
Let r be -73*(1 + -1 + 3). Let h(b) = 3*b**2 + 3*b - 5. Calculate the remainder when 2 + 3/((-9)/r) is divided by h(-3).
10
Let l(o) = -o - 8. Let m(y) = 1. Let u(a) = -l(a) - 6*m(a). What is the remainder when (0 - 26)*(-12)/8 is divided by u(22)?
15
Let g = -1177 + 2565. Calculate the remainder when g is divided by 107.
104
Let l(r) = 9*r**3 + 4*r**2 - r + 3. Let q be l(-3). Let h = q - -213. Suppose 4*n + 2*v = 68, 3*n - 18 - 38 = v. What is the remainder when n is divided by h?
6
Let k(d) = 6*d**2 + 139*d + 835. What is the remainder when k(-21) is divided by 17/4 - (-9)/12?
2
Suppose -20 = 5*h, 0 = -5*i - 5*h - 87 + 37. Let n = i - -12. Let p(z) = -z**3 + 165*z**2 - 25*z + 4141. What is the remainder when p(165) is divided by n?
4
Let x(k) = k**3 + 57. Let c be x(0). Suppose 58*g - 379 - 143 = 0. Calculate the remainder when (c/(-2))/(g/(-12)) is divided by 10.
8
Suppose -44 = -2*d - 8. Suppose d*r - 13*r - 175 = 0. Suppose 18*c - 22*c - 3*i + 687 = 0, -2*c + 342 = 2*i. Calculate the remainder when c is divided by r.
34
Let i = 81 - 131. Let x = 5 - i. What is the remainder when 272 is divided by x?
52
Suppose -14*l - 51 = -16*l - v, 2*l = -5*v + 23. Let y = -3 + 6. Suppose 0 = 2*n + y*n - 75. What is the remainder when l is divided by n?
14
Let h = 14235 - 14166. Calculate the remainder when 564 is divided by h.
12
Suppose 12 = -5*p + 4*x - 5*x, 3*p - 2 = 4*x. Let a(g) = -2*g**3 - g**2 - 6*g + 1. Calculate the remainder when 349 is divided by a(p).
24
Suppose 0 = 5*r - 386 - 74. What is the remainder when r is divided by ((-18)/(-7) + -3)*-7 - -2?
2
Let d(h) = h**3 - 11*h**2 - 12*h + 12. Suppose -b = 4*m - 220, 91 + 69 = 3*m + 2*b. What is the remainder when m is divided by d(12)?
8
Let j = 58 + -18. Let l = j - 44. What is the remainder when 19 is divided by 1 - (-4 - 0/l)?
4
Suppose 118 = -13*d + 742. What is the remainder when 40/(-12)*(-642)/5 is divided by d?
44
Suppose 0 = -2*i - 2*d + 8, 6*i - 5*i - 3*d + 12 = 0. What is the remainder when (-2)/(-5) + i + (-17731)/(-85) is divided by 106?
103
Let m(d) = -11*d - 5. Let g be m(-5). Suppose g = 3*a + 14. Let n(t) = -4*t - 11. What is the remainder when n(-11) is divided by a?
9
Let j(x) = -65*x + 4318. Calculate the remainder when j(46) is divided by 1316.
12
Let z(o) = -o**2 - 24*o + 253. What is the remainder when z(-12) is divided by 4?
1
Calculate the remainder when (-1 - (-707)/28)/(33/1584) is divided by 90.
84
Let t(m) = -355*m**3 + 2*m**2 + 3*m + 1. Let a be t(-1). Suppose 4*o + o - a = 0. Suppose 0 = 2*q - 5 - o. What is the remainder when q is divided by 13?
12
Let s = -181 + 333. Suppose -96 = -3*a + 2*z - z, 0 = 4*z. What is the remainder when s is divided by a?
24
Suppose 40344 = 63*m + 60*m. What is the remainder when m is divided by 103?
19
Let f = -69 + 73. Suppose 3*o = -3*u - 27, -3*o - f*u = -0*u + 32. What is the remainder when 31 is divided by (-44)/6*(-3 + (-6)/o)?
9
Let z = 12419 - 12389. What is the remainder when 13499 is divided by z?
29
Suppose -9 = -p + 2*p - 2*q, -2*q + 10 = -2*p. Let f(k) = -125*k - 3. Let x = -9 - -34. Calculate the remainder when f(p) is divided by x.
22
Let r(t) = 8*t + 194. Suppose 0 = 25*m - 14*m + 231. What is the remainder when 337 is divided by r(m)?
25
Suppose 180*r - 114*r + 11457 = 85*r. What is the remainder when r is divided by 54?
9
Let x = -3692 + 3726. Calculate the remainder when x is divided by 10.
4
Let s = -4873 - -5074. Calculate the remainder when 3013 is divided by s.
199
Suppose -11*v - 1112 = 659. Let w = v + 234. What is the remainder when w is divided by 41?
32
What is the remainder when 53 is divided by 13/(-19 - -11 - 51/(-6))?
1
Suppose -g = -194 + 61. Suppose 10*s - g = 197. Suppose -3*x - 8*x + s = 0. Calculate the remainder when 14 is divided by x.
2
Let p(g) = -g**3 + 21*g**2 + 23*g + 8. Suppose -v = -o + 154, 4*o - 5*v - 591 = -6*v. What is the remainder when o is divided by p(22)?
29
Let n be -1*(-1 + -1 + 12 + -12). Suppose 12*m - 50 = n*m. What is the remainder when 49 is divided by m?
4
Suppose 0 = 37*n + 115 + 181. What is the remainder when 113 is divided by n/(-72) - 1652/(-36)?
21
Let o(i) = 7*i + 66. Let s be ((-4)/10*-5)/1 - -12. What is the remainder when o(s) is divided by 33?
32
Let p be 42644/68 + 5 - 8/68. Suppose 5*w - 802 = -5*k + 4*k, 4*w = -4*k + p. What is the remainder when w is divided by 28?
21
Let b(m) = 6*m + 32. Suppose -20 = 7*a + 15. Let q be b(a). Suppose -4*o - 5 + 1 = 0, q*o + 217 = 5*g. What is the remainder when g is divided by 18?
7
Suppose -j + v + 23 = -10, -v + 2 = 0. Calculate the remainder when 7486/72 + (-56)/(-2016) is divided by j.
34
Suppose 0 = 115*o + 15073 - 109143. What is the remainder when o is divided by 15?
8
Let d = -19 - -27. What is the remainder when 18 + 21*4*6/72 + 1 is divided by d?
2
Let b(f) = 3*f**2 + 135*f + 2843. Calculate the remainder when b(-29) is divided by 12.
11
Suppose 135*h + 91392 = 543*h. What is the remainder when 475 is divided by h?
27
Let h(u) = 7*u - 10. Let b be h(10). Let w = b + -35. Suppose -4*x + w = x. Calculate the remainder when 21 is divided by x.
1
Suppose 2*z = s - 2 - 300, -4*z - 1492 = -5*s. Calculate the remainder when s is divided by 55.
21
Suppose 2*s - 2*o = o + 38, 0 = 5*s + 3*o - 53. Let y(b) = 5*b**2 + 9*b - 5. Let g be y(8). Let r = -339 + g. Calculate the remainder when r is divided by s.
9
Let d be (5 - (7 - 346)) + 7. Suppose -2*a + d = 295. Calculate the remainder when 99 is divided by a.
15
Suppose 0 = 2*s + 4*b - 6286, 5*s - 9416 = 2*s + 7*b. Calculate the remainder when s is divided by 7.
5
Suppose 2189 = -60*m - 176*m + 12573. What is the remainder when 448 is divided by m?
8
Let v = 282 - 124. Suppose v = 6*c - 52. Calculate the remainder when ((-2)/(-3))/(6/909) is divided by c.
31
Suppose -22*b = -19*b + 87. Let