-18).
39
Let z(x) = -163*x**3 + x**2 + 5*x + 4. Suppose 0 = -5*l + 152 - 2. What is the remainder when z(-1) is divided by l?
13
Let l = -34116 + 48803. What is the remainder when l is divided by 113?
110
Let n(y) = 1540*y - 73904. Suppose -3 - 4 = i. Calculate the remainder when 2/7 + (-313)/i is divided by n(48).
13
Suppose 8*a = 2*a + 18. Suppose -t = -a*s - 167, s - 733 - 54 = -5*t. Calculate the remainder when t is divided by 28 + ((-2)/2)/1.
23
Let q(l) = l - 1. Let m(a) = -7*a - 64. Let w(z) = -m(z) - 6*q(z). Let h = 186 - 205. Calculate the remainder when w(h) is divided by 13.
12
Suppose 1497 + 1461 = -17*a. Calculate the remainder when 100 is divided by 3*(-4)/(72/a).
13
Let q = 8 - 6. Let k = 1025 - 955. Let d = k - q. What is the remainder when d is divided by 36?
32
Suppose 62*m = -705 + 4859. What is the remainder when 101 is divided by m?
34
Suppose -55 = 4*w - 9*w. Let p(s) = 5*s**2 + 2 - s**3 - 13*s + w*s + 8*s. Calculate the remainder when 4 is divided by p(6).
0
Suppose 66*z - 504 = -2*x + 64*z, -5*x = 3*z - 1256. Suppose -4*u + 20 = 0, 4*f + f + 5*u = x. What is the remainder when f is divided by 19?
7
Let o = 4355 + -4301. Let w(a) = 9*a**3 - a**2 - a + 1. Calculate the remainder when o is divided by w(1).
6
Let q = 13 - 21. Let p = q - -7. What is the remainder when 3*(17 - (-2)/p) is divided by 12?
9
Let x be (-40)/(-15) + -1 + 3/9. Suppose -5*d = 3*y - 82, x*d - 33 = -y + 6*d. Calculate the remainder when (-11)/(-2)*10 - -1 is divided by y.
27
Suppose 3*q - d - 4239 = 0, 6*q - 7*q + 1400 = 4*d. What is the remainder when q is divided by 49?
40
Calculate the remainder when 5733 is divided by (-6 + (-76)/8)/((-27)/(-6) - 5).
29
Let p(l) = l**2 - 10*l + 8. Let d be p(6). Let y = 7 + d. Let z(u) = u + 23. What is the remainder when 27 is divided by z(y)?
13
Let w(b) = 24*b**2 + 3*b + 19. Calculate the remainder when 230 is divided by w(-3).
4
Suppose 0 = -13*y + 2796 + 584. Suppose 4*s + s - y = 0. Calculate the remainder when s is divided by 28.
24
Let j(c) = c**2 + 3. Suppose 14454 = 1393*d + 3310. What is the remainder when j(-5) is divided by d?
4
Let f = -52 - -20. Let p be 15/4 + (-8)/f. Suppose -4*j = -p*l + 64, -j = l - 3*j - 15. What is the remainder when l is divided by 9?
8
Let x(f) = 9*f**2 + 226*f - 1107. What is the remainder when x(5) is divided by 44?
28
Let p(o) = 21*o**3 - o**2 - o + 2. Let c be p(1). Suppose 0 = -23*u + c*u. Suppose u = 21*v - 24*v + 351. What is the remainder when v is divided by 24?
21
Suppose 4*a = x - 1 + 60, 0 = -5*x - 15. Calculate the remainder when 515 is divided by a.
11
What is the remainder when (18 - 33/3)/(1/62) is divided by 3*(-30)/(-18) + 18?
20
Calculate the remainder when 851 is divided by (-4472672)/(-5356) - (-1)/(-13).
16
Suppose -2*k + f + 13 = -9, -2*k + 2*f + 22 = 0. Let z = -2033 + 2076. Calculate the remainder when z is divided by k.
10
Let f = 21156 + -20891. Calculate the remainder when f is divided by 72.
49
Let a(n) = 10*n**2 - n + 6. Let t(u) = 5*u**2 + 3. Let h(r) = -3*a(r) + 7*t(r). Calculate the remainder when 83 is divided by h(-2).
15
Suppose 0 = -r + 4*t, r - 3 - 3 = -2*t. Suppose -3*u + 8 = -r. Suppose 0 = l - 4*l + m + 17, -20 = -4*l + u*m. Calculate the remainder when 21 is divided by l.
3
Let k be (-4)/1 + 13572/(-52). Let i = 346 + k. What is the remainder when i is divided by 42?
39
Let f = -2324 - -2720. What is the remainder when f is divided by 50?
46
Suppose 11*h + 287 = 12*h + f, -4*h - 3*f = -1153. What is the remainder when h is divided by 100?
92
Calculate the remainder when (16 + 679/14)/((-3)/(-2)) is divided by 16.
11
Calculate the remainder when 376 is divided by 2 - (-8 + -3 + 8).
1
Let y(x) = -x**2 + 22*x + 20. Let m be y(19). Let k = m + -48. Let g(q) = -2*q**3 + 8*q**2 + 4*q - 6. Calculate the remainder when k is divided by g(4).
9
Let g(p) = -32*p - 1512. Calculate the remainder when g(-52) is divided by 59.
34
Calculate the remainder when 471 is divided by ((1 - (7 + -13)) + -8)*-69.
57
Let x = -23219 + 23237. What is the remainder when 213 is divided by x?
15
Let i = -18220 - -18227. Calculate the remainder when 369 is divided by i.
5
Let h be (-8)/(-10)*(-560)/(-32). Calculate the remainder when 51 is divided by (-112)/(-6) + h/(-21).
15
Suppose -79*w - 75*w = 63*w - 2604. Suppose 21 = y - 49. Suppose -2*z - 7*d = -3*d - y, -2*d - 175 = -5*z. What is the remainder when z is divided by w?
11
Let m = 2405 + -1706. Let b = -375 + m. What is the remainder when 3 is divided by 72/b - (4/18 - 1)?
0
Let h(m) = 12*m - 96. Let d be h(11). Suppose -j = -182 - d. What is the remainder when j is divided by 45?
38
Suppose 0 = 5*k - 15, 3*z + 8 = -2*z - 4*k. Calculate the remainder when (z/3)/((-18)/(-27)) - -185 is divided by 17.
13
Suppose a - 218 = -3*s, 3*a + 114 = 2*s - 35. What is the remainder when s is divided by 13?
8
Let z(l) = -2*l + 29. Calculate the remainder when 1022 is divided by z(9).
10
Let m = -227 - -225. What is the remainder when -172*(-5 - 7/m) is divided by 37?
36
Let d be ((-6)/12)/((-3)/42) + -4. Let g(c) = 3*c**2 + 4*c - 12. Calculate the remainder when g(d) is divided by 13.
1
Let p be 15 + (35/5 - 16). What is the remainder when -1*((-222 - (12 - p)) + 5) is divided by 28?
27
Let l(o) = -2*o**2 + 8*o**2 - 8 - 11*o - 7*o**2. Let d be -4 - (-2 - (-7 - -3)). Calculate the remainder when 38 is divided by l(d).
16
Let o be ((-14)/3 + 0)/(26/(-39)). Suppose -3*t + 8 = -o. Suppose 18 = 2*a - k, 26 = 2*a - 2*k + t*k. What is the remainder when a is divided by 3?
1
Suppose 9*j + 57*j - 8870 = 3340. Calculate the remainder when j is divided by 139.
46
Let d = 386 + -18. Let l = -353 + d. Calculate the remainder when 29 is divided by l.
14
Let q(w) = -w**3 - 9*w**2 - 7*w - 38. What is the remainder when 141 is divided by q(-9)?
16
Let n = -2 - -4. Suppose -151 = -y - 2*y + f, -4*y = n*f - 198. What is the remainder when y is divided by ((-711)/316)/(2/(-24))?
23
Suppose 4*p - 236 = 24*r - 26*r, 0 = -6*r - p + 653. Let s = 141 + -86. Calculate the remainder when r is divided by s.
53
Let f = -1407 - -1455. What is the remainder when 127 is divided by f?
31
Suppose 13*j = 121 + 74. Let c = 88 + -174. Let f = 145 + c. What is the remainder when f is divided by j?
14
Let f be 30/(-80) + 26/(-16). What is the remainder when 114 is divided by (-2 + (-76)/8)*f?
22
Suppose -3*x - 4*n = -28, -4*n = -0*x - 4*x. Suppose 5*t + 5*g = -10 + 5, x*g - 12 = 4*t. Calculate the remainder when 29 is divided by (-6)/24 - (74/(-8) + t).
7
Let x be (2 - 20)/(-3*(-3)/(-6)). Suppose x*f - 15*f = -744. Suppose 4*p + 4 - 179 = -3*h, 2*p = 4*h - f. Calculate the remainder when h is divided by 9.
7
Let q(a) = -a - 11. Let x be q(-6). Let y be 40/x + 4 + 6. Suppose -2*o - y*c = -38 - 10, -72 = -4*o + 2*c. What is the remainder when o is divided by 11?
9
Calculate the remainder when 184 is divided by 63*(11 - 456/42).
4
Calculate the remainder when 7423 is divided by -4 + 1 + 7870/60 + (-1)/6.
127
Let r = 29599 + -28282. Calculate the remainder when r is divided by 361.
234
Let a(w) = -5*w + 19. Let x be a(-4). What is the remainder when 202 is divided by x + 1/((-1)/4)?
27
Suppose 83*s = 70*s + 78. Suppose 5*q + u + 10 = -u, 4*q = -5*u - 25. What is the remainder when q - (1 + -16)/1 is divided by s?
3
Let v(n) = -n + 35. Suppose -5*l - 3*r = -69 - 27, 0 = -l + r + 16. Calculate the remainder when v(-6) is divided by l.
5
Let x(i) = 22*i**2 - 2*i - 1. What is the remainder when x(-4) is divided by 1595/35 + 132/(-231)?
44
Let c = 1704 - 1658. Calculate the remainder when 75 is divided by c.
29
Suppose -168*y + 35780 = 4532. What is the remainder when y is divided by 102?
84
Let q(m) = 91*m**2 - 14*m + 6. Calculate the remainder when q(1) is divided by (((-184)/2)/(-2))/1.
37
Calculate the remainder when 13/((-143)/15323)*2/(-14) is divided by 13.
4
Suppose -18 = -14*k - 4. Suppose -5*h + 21 = i, -i + 3*h + k = -4. Calculate the remainder when 141 is divided by i.
9
Suppose 49*x + 57*x = -21*x + 180086. What is the remainder when x is divided by 698?
22
Suppose -135*y + 132*y - 33 = -3*m, -4*y = -5*m + 50. Calculate the remainder when 3905 is divided by m.
5
Suppose 103 = -g - 5*o, 4*g + 3*o + 344 = -68. Let i = 287 + g. What is the remainder when 