 + -2). Let l(n) = n**2 + 18*n + 13. Suppose -23*x + 126 = -16*x. What is the remainder when l(k) is divided by x?
17
Suppose 2*d - 4*u + 0*u = -4, -4*u = d - 4. Suppose -5*v + d*v + 160 = 0. Suppose 455 = 30*z - 85. Calculate the remainder when v is divided by z.
14
Suppose 2526 = 29*v + 47*v - 7886. Calculate the remainder when v is divided by 106.
31
Let x(m) = m**2 + 44*m + 1012. Calculate the remainder when x(0) is divided by 324.
40
Let h = -299 - -324. Let q be 32/(-10) + (-7)/(-35). Calculate the remainder when (q + 1)*(-141)/6 is divided by h.
22
Let p = -3335 + 6725. Calculate the remainder when 6785 is divided by p.
5
Let n be 4 - 1 - -307 - 6. Suppose -4*b + 2*c = -n, -4*b - 30*c + 332 = -25*c. Calculate the remainder when b is divided by 16.
14
Let g(j) = -j**2 - 23*j + 959. What is the remainder when 155 is divided by g(20)?
56
Suppose -48 = -4*c + 20. Calculate the remainder when (-106)/3*(-30 - 513/(-18)) is divided by c.
2
Suppose -n + 5 = -0*n. Let q be 18816/63 + (1 - 4/(-12)). Suppose 100*b - 70*b = q. What is the remainder when b is divided by n?
0
Let j(c) = 304*c**2 + 238*c + 965. Calculate the remainder when j(-4) is divided by 32.
13
Suppose -51*x + 48*x + 1104 = 0. What is the remainder when x is divided by 18?
8
Let w(m) = 7*m + 169. Let q(f) = -f**3 + 20*f + 3. Let x be q(5). What is the remainder when 164 is divided by w(x)?
14
Let d(w) = -w - 9. Let u(j) = -1. Let l = 38 + -37. Let s(k) = l*d(k) - 2*u(k). Calculate the remainder when 54 is divided by s(-14).
5
Suppose -92 + 8 = -4*l. Let o = l + -30. Calculate the remainder when 82 is divided by (6/o)/(16/(-408)).
14
Let x = 4136 - 4041. Suppose -2*v + 43 = -f + 4*f, 29 = v + 3*f. Calculate the remainder when x is divided by v.
11
Let r(n) = 3*n**3 + 67*n**2 + 235*n - 16. What is the remainder when r(-16) is divided by 91?
87
Let g be -3 + 98/34 + (-32)/17. What is the remainder when (-2 - -47)/((-3)/g) is divided by 25?
5
Let q = 19047 + -10571. Calculate the remainder when q is divided by 106.
102
Suppose c = -q + 954, -2*q + 139*c - 140*c + 1910 = 0. What is the remainder when q is divided by 33?
32
Suppose 0 = 3*d - 3*y - 3, 5*d - y + 8 - 21 = 0. Suppose -47 = -d*h + 7. Calculate the remainder when 88 is divided by h.
16
Let i = -11749 - -12156. Calculate the remainder when i is divided by 194.
19
Let k(u) = -16*u**3 - u**2 - 71*u - 321. What is the remainder when k(-4) is divided by 20?
11
Suppose -4042 = -42*a - a. What is the remainder when a is divided by 56?
38
Suppose -5*s + 12*s - 28 = 0. Suppose 5*v = s*g + 4, g + 2*v + 5 = -9. Calculate the remainder when 1/((-6)/(-9)) + (-291)/g is divided by 13.
11
Suppose -40 = -3*b + 2*m - 9, 5*b + 3*m = 58. Let x be 120 + (4 - b) + 3. Let r = -39 + x. Calculate the remainder when r is divided by 16.
13
Let j(c) = c - 10. Let d be j(9). Let x be d + 0 - (-12 - -8). Suppose x*q + 2 - 206 = 0. What is the remainder when q is divided by 18?
14
Calculate the remainder when 494 is divided by (-6)/((-253)/22 - -10).
2
Let b(z) = 21*z + 343. Calculate the remainder when b(19) is divided by 25.
17
Let k = -10 + 53. Let s = 536 - 427. Calculate the remainder when s is divided by k.
23
Suppose -3*d = -q + 6*q - 27, -5*q + 35 = 5*d. Suppose 3*y + 2*t - 3 = 9, q*y = t + 3. Suppose y*c - 38 = -22. Calculate the remainder when 14 is divided by c.
6
Let u = 247 - 232. Let c = 367 - 308. Calculate the remainder when c is divided by u.
14
Suppose -2*w = 2, 5*n + w = 4*n + 12. Suppose -79*l + 11130 = -69*l. Suppose -41*v + l = 12*v. Calculate the remainder when v is divided by n.
8
Suppose -31*s = 856 - 17627. What is the remainder when s is divided by (-2)/(-2) + 67*1?
65
Let n = -377 + 548. Let g be ((-8)/3)/((-4)/(-6)). What is the remainder when 2/8 - n/g is divided by 16?
11
Let w = 62 + -56. Let v(k) = 7*k - 27. What is the remainder when 52 is divided by v(w)?
7
Let g = -42 - -62. What is the remainder when (46/(-8))/(1 - 255/240) is divided by g?
12
Suppose -9*a + 304 = -a. Let n = 112 - a. Suppose 3*i = n + 118. Calculate the remainder when i is divided by 34.
30
Let u = -13050 + 14541. Calculate the remainder when u is divided by 738.
15
Let m(g) = 5*g**2 + 22*g + 35. What is the remainder when 40 is divided by m(-3)?
12
Let l(r) = -4*r**2 + 0 + 4*r + 15*r**2 + 20 + 4. Calculate the remainder when l(-4) is divided by 17.
14
Let p = -47 + 68. Suppose l - 7 = 4*r + 6, -p = -3*l + 3*r. Suppose 0 = -c + l, 4*c - 10 = 4*v - 82. What is the remainder when 66 is divided by v?
20
Let p = 1635 + -1633. Let r(f) = -f**2 - 4*f + 4. Let v be r(-4). Suppose v*w - 108 = -i, i = -p*w + 51 + 5. Calculate the remainder when 128 is divided by w.
24
What is the remainder when 453 is divided by 8 + (-20)/(-5)*68/8?
33
Suppose 40*t = 52*t - 24. Suppose 2*m - 17 = u, m = 6*m + t*u - 20. Let k(l) = -l**2 + l + 11. What is the remainder when k(0) is divided by m?
5
Let u be 10/(-125) + 1016/200. Suppose -u*a + 11*j + 2305 = 15*j, 4*a = 5*j + 1803. What is the remainder when a is divided by 51?
49
Suppose -207 = 3*t - 4*p - 1090, -4*t - 2*p = -1214. Calculate the remainder when t is divided by 26.
15
Let j be ((-640)/192)/((-4)/6). Suppose -6*m = -7*m - 4*i + 26, 2*i - 112 = -j*m. Let o = 76 - 34. What is the remainder when o is divided by m?
20
Let c = -160 + 204. Calculate the remainder when 75 is divided by 976/c - (-30)/(-165).
9
Suppose 5*n + 3*w - 120 = 143, -2*w + 110 = 2*n. Suppose -b + 2*b = 0. Suppose b = -5*r + 28 + 37. What is the remainder when n is divided by r?
10
Suppose 8*h + 287 = h. Let x = h - -47. What is the remainder when (290/(-25))/((-2)/5) is divided by x?
5
Let o(g) = 2*g - 1. Let l be o(2). Suppose 3*y - 5*b = -2, 16 = l*b + b. Suppose -2*k + 4*v + 2 = 4, 2*v - y = 0. What is the remainder when k is divided by 2?
1
Let i(m) = -315*m + 52. What is the remainder when 279 is divided by i(0)?
19
Suppose 79*u - 9486 + 480 = 0. What is the remainder when 480 is divided by u?
24
Let f = 1169 + -1164. What is the remainder when 408 is divided by f?
3
Let q be (0 - -3 - -39)*(-78)/6. Let x = 752 + q. Calculate the remainder when x is divided by 42.
38
Suppose -4*x = 4*z - 112, 62 + 98 = 5*z - 5*x. Calculate the remainder when 236 is divided by z.
26
Let z be 135/(2 + -7) + 1. Calculate the remainder when 518/6 + z/(-39) is divided by 10.
7
Suppose 0 = 16*v - 4 + 36. Let g(q) = 20*q + 49. Suppose -5 - 13 = -3*z. Calculate the remainder when g(v) is divided by z.
3
Calculate the remainder when 1986 is divided by (1 - 4 - (-12 + 8))/((-2)/(-306)).
150
Let z = 93 + -65. Let a(p) = -p + 2. Let h be a(3). Calculate the remainder when z is divided by (h/(-3))/((-13)/(-273)).
0
Let k(w) = 56*w**2 + 441*w. What is the remainder when k(-11) is divided by 17?
4
Let z = 8868 - 8765. Calculate the remainder when 170 is divided by z.
67
Suppose -30 + 414 = 16*b. Let y(i) = 3*i**2 - 71*i + 28. Let x(t) = 2*t + 6. Calculate the remainder when y(b) is divided by x(6).
16
Let p(u) = u**2 - 14*u + 16. Let n be p(13). Suppose 0 = -5*t - n*v + 973, 2*t + 166 = 2*v + 552. Calculate the remainder when t is divided by 50.
44
Let k(v) be the third derivative of v**5/30 - 25*v**4/24 + 5*v**3 + 97*v**2. What is the remainder when 60 is divided by k(12)?
6
What is the remainder when (6355/(-12) - 385/220)/(2/(-6)) is divided by 57?
55
Suppose 18*h - 28*h = -1400. What is the remainder when 533 is divided by h?
113
Let q(l) = 3*l**2 + 3*l + 9. Let a be q(-20). Suppose -2*s + 5*u = -579, 6*s = 2*s + u + a. What is the remainder when s is divided by 12?
11
Suppose 676*p = 667*p + 657. Suppose -4*q = -20, 0 = r - 5*r - 2*q + 1758. What is the remainder when r is divided by p?
72
Let i(h) = h + 18. Suppose 7*w + 2 - 44 = 0. Suppose w = -4*o - m, 0 = 2*o + 2*m - 0*m. What is the remainder when 62 is divided by i(o)?
14
Suppose 4*r - 40 = -4*n, 68*r - 67*r + 8 = 2*n. What is the remainder when 1109 is divided by n?
5
Let f = -5959 + 5982. What is the remainder when f is divided by 14?
9
Let s = 16 + -6. Suppose 2*x = -0*x + s. Suppose -129 = x*m - 614. What is the remainder when m is divided by 25?
22
Let i(a) = a**3 - 8*a**2 - 14*a + 17. Let r be i(11). Suppose -r*c + 233*c - 147 = 0. What is the remainder when 124 is divided by c?
19
Let s(b) = -13*b**3 -