hen y is divided by 36.
32
Let q(u) = 22*u - 659. Calculate the remainder when 733 is divided by q(31).
20
Suppose -o + 2*w + 66 = 0, 4*w + 48 = 4*o - 200. Suppose -3*a + o = -s - 0*s, -33 = -2*a - 5*s. Calculate the remainder when 125 is divided by a.
11
Let v(d) = -4*d - 31. Let y be v(-9). Let j(t) = 29*t + 62. What is the remainder when j(y) is divided by 26?
25
Let q = -216 + 233. Suppose 29*u - q*u - 96 = 0. Suppose d - 2*x = 26, 0*x - 110 = -4*d + 5*x. What is the remainder when d is divided by u?
6
Suppose -f + 2 = 0, 2*t + 2*f - 85 = -7. Let x = 96 - 92. Suppose 3*a = x*z - 2, 20*a + 15 = 25*a - 3*z. What is the remainder when t is divided by a?
1
Calculate the remainder when 11759 is divided by 42/(-28) - 243/(-2).
119
Suppose 61*s = 55*s. Suppose a - 3*d - 26 = s, -12 = -a - 2*d + 4. What is the remainder when 138 is divided by a?
18
Suppose -2*h + m + 77 = -240, 302 = 2*h - 4*m. Suppose -9*f + 12*f = s + h, 5*s = -4*f + 221. What is the remainder when f is divided by 7?
5
Suppose -92*g + 8614 = -38052 - 12214. What is the remainder when g is divided by 94?
76
Let u(f) = 5*f + 90. Let d be u(-17). Suppose -9 + 84 = d*g. Suppose 0 = -4*v + 61 + 279. Calculate the remainder when v is divided by g.
10
Suppose -5*s + 560 = 5*y, y + 5 = 2. Let n = s + -100. Suppose -257 = -3*u + 4. What is the remainder when u is divided by n?
12
Let i = -10167 + 10265. Calculate the remainder when i is divided by 31.
5
Suppose 4*x = 5*u - 3739, 5*x - 10 = 10. Calculate the remainder when u is divided by 13.
10
Calculate the remainder when 11358/8 - (-129)/516 is divided by 84.
76
Let p be (-2)/(-14) - 2184/(-147). Let m be p/(-10)*12/(-9). Suppose 0*y + 81 = 5*y - 3*a, 0 = -3*y - m*a + 60. Calculate the remainder when y is divided by 8.
2
Calculate the remainder when 6/(-4) + (-352886)/(-388) is divided by 23.
11
Let c(s) = 6*s - 56. Let l be c(9). What is the remainder when (127/l)/(15/(-30)) is divided by 64?
63
Let n be (66/(-33))/(2/16). Let p(y) = -y**3 - 16*y**2 - 2*y. What is the remainder when 253 is divided by p(n)?
29
What is the remainder when 28/77 - 3978/(-11) is divided by 16?
10
Let g be (-190)/(-76)*4/5. Suppose 23 = -g*k + n + 166, -3*n - 360 = -5*k. Calculate the remainder when k is divided by 10.
9
Suppose -22*l + 10*l = -1596. What is the remainder when l is divided by 62?
9
Suppose 17*y - 12*y = 2*q - 82, q = -5*y + 11. What is the remainder when 866 is divided by q?
29
Suppose 2*u = 2*t - 817 - 467, 0 = -3*t - 4*u + 1940. Suppose 5*f - t = -4*b, -f - 5*b = 16 - 149. Calculate the remainder when f is divided by 13.
11
Let n be (0 + 0)/(2/(-2)). Suppose n = -5*s + 462 - 147. Calculate the remainder when s is divided by 13.
11
Let s be 3 - 18/4*18/27. Suppose s = 3*j, 2*i - 3*i = -3*j - 87. What is the remainder when i is divided by 32?
23
Let h(u) = 12*u**2 + 4*u - 43. Let t be h(-6). What is the remainder when (219/t)/((-2)/(-210)) is divided by 6?
3
Suppose 0 = -20*s - 31 + 71. Suppose -2*h + 80 = s*h. Let d(k) = k**3 + k + 57. What is the remainder when d(0) is divided by h?
17
Let a = 309 + -256. Suppose 5*w = -5*k + 780, 5*k - 2*k - 12 = 0. What is the remainder when w is divided by a?
46
Suppose -2*s + 58 = -4*p, 4*s - s + 4*p = 117. Suppose -73*l = 59*l - 77 - 979. Calculate the remainder when s is divided by l.
3
Suppose 276*h + 4*o - 148 = 272*h, 3*o - 39 = -h. What is the remainder when 830 is divided by h?
2
Let n(o) = -32*o - 1. Let k be (-119)/(-85) - (-4)/(-10). Let y be n(k). Let v = -23 - y. Calculate the remainder when 14 is divided by v.
4
Let s(n) = n**2 + 29*n - 59. Let u be s(-31). Suppose -w = 3*t - 64, u*w - 162 = -3*t - 0*t. What is the remainder when 136 is divided by w?
38
Suppose -3*r - 79 = 5*y, -3*y - 4*r + 2 = -4*y. Let g(d) = 2*d + 26. Let v be g(y). Calculate the remainder when ((-1540)/(-42))/(v/(-3)) is divided by 19.
17
Let j be (-10790)/117 + (-4)/(-54)*3. Let q = j + 134. Suppose -q = -2*u - 3*i, -3*i - 23 - 61 = -5*u. Calculate the remainder when u is divided by 5.
3
Suppose -y + 256 = -0*k - 5*k, -4*y - 3*k + 1047 = 0. Suppose -23*m = -y - 176. Calculate the remainder when 55 is divided by m.
17
Let w(s) = -8*s + 1120. Let n = -89 + 177. Calculate the remainder when n is divided by w(137).
16
Suppose -2*d + 41 = 3*k - 0, -5*d + 50 = 4*k. Suppose -2*n - 33 = -4*g + 71, 4*g - 76 = -5*n. What is the remainder when k is divided by ((-64)/g)/(2/(-3))?
3
Suppose -5*g - 45 = -5*c, c + 5*g - 35 = -4*c. What is the remainder when (-3 - -2) + (-304)/(-8) is divided by (-15)/((60/c)/(-5))?
7
Let r be (-1)/(-5)*13*5. Let p(y) = -y + 43. Let x be p(r). Let z = x - 10. What is the remainder when z is divided by 13?
7
Let s = -1050 - -1100. Calculate the remainder when 1632 is divided by s.
32
Suppose -7 = -65*x + 66*x. Let n(s) = -2*s + 2. Let v be n(-2). Let o = v - x. What is the remainder when 23 is divided by o?
10
Suppose 619 = 6*g - 437. Let j = 285 - g. Let v = 47 - 19. Calculate the remainder when j is divided by v.
25
Let n = 5976 + -5934. Calculate the remainder when n is divided by 16.
10
Let q(d) = -30 - 29*d - 91 + 21 - d. Calculate the remainder when 99 is divided by q(-4).
19
Suppose -3*k - 2*v + 16 = k, -5*k + 5*v = 10. Suppose -s + 24 = -k*l, s + 2*l + 114 = 5*s. Let i = 54 - s. What is the remainder when 46 is divided by i?
22
Suppose 2068 = -13*p + 5799. What is the remainder when p is divided by 5?
2
Suppose -62125 = 290*x - 361*x. Calculate the remainder when x is divided by 47.
29
What is the remainder when 504178/1501 - 2/(-19) is divided by 71?
52
Suppose -1 = s - 13. Suppose -2*q + 284 = 2*q. Suppose -4*v + q = -57. Calculate the remainder when v is divided by s.
8
Let o be (-26)/(-13) + (0 - -1). Let g be (-8)/(-12)*o*89. Suppose g = 4*f - 290. What is the remainder when f is divided by 30?
27
Suppose -1340 = -2*w - 1340. Suppose l = 4*l + n - 2334, w = 2*l + 4*n - 1556. What is the remainder when l is divided by 26?
24
Let u be 0 - (-24)/(-7)*4*7. Suppose 0 = -3*m + 12*m - 909. Let h = m + u. Calculate the remainder when 22 is divided by h.
2
Let c(u) = 7*u - 19. Let p be c(2). Let k(a) = -2*a**2 - 16*a - 26. Calculate the remainder when 14 is divided by k(p).
2
Suppose -178 = -x - r, 5*r + 374 = 2*x + 4. What is the remainder when 508 is divided by x?
148
Let f(b) = 189*b**2 - 64*b - 6. What is the remainder when f(2) is divided by 150?
22
What is the remainder when (-2)/78*-181119 + (-3)/39 is divided by 166?
162
Suppose f = -2*z + 226, 3*z + 224 = 5*z + 2*f. Calculate the remainder when 128 is divided by z.
14
Let p be 20/(-15)*675/(-90). Let h(i) be the second derivative of -i**4/12 + 11*i**3/3 - 5*i**2/2 - i. What is the remainder when h(p) is divided by 29?
28
Suppose 4 = -2*q + 4*q. Suppose 0 = -q*m - 4 + 52. Suppose -3*r + 135 = -4*d, 0 = -3*r - d + 94 + 41. Calculate the remainder when r is divided by m.
21
Let z = -2 - -6. Suppose 33 = z*t - 35. Let k(c) = c**3 + 20*c**2 + 69*c - 140. Calculate the remainder when k(-12) is divided by t.
14
Let w(a) = 102*a**3 - 4*a**2 + 3*a. Let f be w(1). Let u = -48 + f. Calculate the remainder when u is divided by 11.
9
Let r(d) = -d**3 + 17*d**2 - 21*d + 86. Let q be (-594)/26 - (-14)/(-91). Let o = -16 - q. Calculate the remainder when o is divided by r(16).
1
Suppose -9*r = -39*r - 12*r + 7476. Calculate the remainder when r is divided by 131.
47
Suppose w + 153 - 444 = -5*b, 0 = -2*b - 10. What is the remainder when 1567 is divided by w?
303
Suppose -3*w + 21 = 0, 5*i - 600*w + 598*w = 3746. Calculate the remainder when i is divided by 104.
24
Let q(j) = 47*j - 1. Calculate the remainder when 63990/(-948)*20/(-6) is divided by q(1).
41
Suppose 0 = 2*k + 20*d - 17*d - 1860, 4*k + d = 3690. What is the remainder when k is divided by 13?
11
Let c = 83 + -33. Suppose -c = m - 61. Suppose 0 = 4*u - 159 - 53. Calculate the remainder when u is divided by m.
9
Suppose -398*m - 615 = -403*m - 4*q, 0 = 5*m - 3*q - 615. What is the remainder when 771 is divided by m?
33
Let h = -3946 + 4109. Calculate the remainder when h is divided by 139.
24
Calculate the remainder when 17/((-136)/(-12656)) + (-1 + 2)/1 is divided by 69.
65
Let p(m) = m**3 + 16*m**2 + 14*m - 9. Suppose q - 1 = -16. Let i be p(q). Suppose -4*y = -i - 14. Calculate the re