*r(f) - 4*w(f). Calculate the remainder when 67 is divided by z(6).
16
Suppose -3 - 45 = 4*x. Let s = 60 + x. Suppose -92 = -5*f + s. Calculate the remainder when 111 is divided by f.
27
Let y(c) = c - c + 4*c**2 - 1 - 3*c - 2*c. What is the remainder when 39 is divided by y(3)?
19
Let z = 18 + -6. Let s be 46/z + 1/6. Suppose -s*i + 8 + 0 = 0, 0 = -f - 5*i + 35. Calculate the remainder when 73 is divided by f.
23
Suppose -3*k + 5*k + 8 = 0. Let i = k + 6. Suppose -t = 4*t, i*m = 2*t + 52. Calculate the remainder when 49 is divided by m.
23
Let q = -67 + -105. What is the remainder when 2/(-4) + q/(-8) is divided by 1?
0
Let a(x) = 9*x. Suppose -2*c + 23 = 9. Let d be a(c). Suppose 0 = 5*r - d + 3. Calculate the remainder when r is divided by 8.
4
Let h be (180/70)/(3/14). Suppose -2*p = 2*k - 28, 4*k = 5*p - 1 + h. What is the remainder when 51/(-2)*12/(-18) is divided by k?
8
Let v(f) = f**2 + 12*f + 12. Let i be v(-10). What is the remainder when (-11)/(3/(-6)*1) is divided by (-200)/(-32) + 2/i?
4
Suppose 30 = 11*s - 8*s. Let f(n) = 3*n - 14. Calculate the remainder when 79 is divided by f(s).
15
Suppose -2*k + 11 = 3. Suppose -5*a + 3*a = -k. Suppose 2*b - 4*b - 26 = -2*c, 4*c = a*b + 46. What is the remainder when 19 is divided by c?
9
Suppose 4*j = -0*s - 2*s + 48, -72 = -2*s + 4*j. Suppose -2*n + s = -0*n. Calculate the remainder when 59 is divided by n.
14
Let u(f) = -f - 9. Let w be (-105)/(-45)*(-7 - -1). Calculate the remainder when 19 is divided by u(w).
4
Let b(g) = 2*g**2 - 2*g + 4. Let k be b(3). Suppose -3*a = -k - 5. What is the remainder when (270/4)/(-5)*-2 is divided by a?
6
Suppose o - 16 = x, o - 5*x - 63 = -3*o. Suppose 14*y - 4 = 13*y. Suppose -c - y + o = 0. What is the remainder when 48 is divided by c?
9
Suppose 3*b - 4*b = 35. Let p be 2/14 + (-7)/((-49)/482). Let c = p + b. Calculate the remainder when 134 is divided by c.
32
Let n(x) = 39*x - 272. Calculate the remainder when 622 is divided by n(11).
151
Suppose 3*v = 7*v + i - 294, 2*i - 223 = -3*v. What is the remainder when v is divided by 73?
0
Let c be (-7)/((-28)/12) - -1. Let x be 8/6*42/c. Suppose -3*r + 4*r - x = 0. Calculate the remainder when 55 is divided by r.
13
Suppose -60*o + 1352 = -47*o. What is the remainder when o is divided by 35?
34
Let y = 50 - 16. Suppose -2*r + 3*c - 5 = 0, 2*r = -4*c + 2*c - 20. Let h(p) = p**3 + 7*p**2 - p + 5. Calculate the remainder when y is divided by h(r).
10
Suppose 4 = 5*q + 4*a + 5, -4*q - 4*a - 4 = 0. Suppose q = -t + 14. Let c(b) = -b**2 - 16*b - 16. What is the remainder when c(-12) is divided by t?
10
Let h = 43 - 40. Suppose -a = -4 + h. Suppose -a = 6*f - 67. Calculate the remainder when 21 is divided by f.
10
Let d(i) be the first derivative of i**4/4 - i**3 + i**2/2 + i - 5. Let x be d(3). What is the remainder when (-1)/x - 141/(-4) is divided by 12?
11
Let i be 1691/4 + (-7)/(-28). What is the remainder when 76 is divided by i/21 + 1/(-7) + 1?
13
Let y = 17 - 14. Suppose 41 = -y*f + 122. Let p = -53 + 105. Calculate the remainder when p is divided by f.
25
What is the remainder when (-53 - -47)/((-6)/524) is divided by 88?
84
Suppose -197 = -4*d - u, 0*u + 106 = 2*d + 2*u. Suppose z - 3*z = -d. Suppose 0 = c + 3, -2*c + 4*c + 100 = 2*r. Calculate the remainder when r is divided by z.
23
Let i(p) = -p**2 + 32*p - 57. Calculate the remainder when i(8) is divided by 18.
9
Let u be ((-244)/(-1) - 0)*1/2. Suppose -117*j - 30 = -u*j. What is the remainder when 52 is divided by j?
4
Let r = -76 + 232. What is the remainder when r is divided by 32?
28
Let u(k) = 10*k**2 + 209*k + 110. Let q(j) = 2*j**2 + 42*j + 22. Let a(i) = -11*q(i) + 2*u(i). Calculate the remainder when 137 is divided by a(-21).
17
Let d = 30 + 44. Suppose 3*t + 6 = 9*t. Let o(c) = 25*c**3 + c**2 - 1. What is the remainder when d is divided by o(t)?
24
Suppose -209 = -2*u - 2*w - 57, -5*w = 4*u - 306. What is the remainder when u is divided by 26?
22
Let l = -28 + 47. Let q(z) = z**2 + 11*z + 8. Calculate the remainder when l is divided by q(-11).
3
Let v(i) = -17*i - 9. What is the remainder when v(-4) is divided by 10?
9
Suppose 4*d = -4*s + 156, -2*s + 4*d + 7 = -41. Calculate the remainder when s is divided by (3 - -8 - -1)*6/4.
16
Let p(f) = f**2 + 13*f + 30. Let u be p(-10). Suppose -2*b = -3*s + 5 + 4, 15 = 3*s. Calculate the remainder when 21 + u/b + 2 is divided by 7.
2
Let k(h) = -h**2 + 12*h - 16. Calculate the remainder when 56 is divided by k(6).
16
Suppose -4*v + 145 = -5*k, 0*k + 4*k = -20. Calculate the remainder when 148 is divided by v.
28
Suppose 96 = 6*o + 30. Let b = o - -7. Calculate the remainder when 26 is divided by b.
8
What is the remainder when 523 is divided by ((-80)/30 - -1)*(-990)/25?
61
Suppose f = -1 + 4. Suppose f*b - 2*c = 48, 0*b - 33 = -2*b + c. Let u = -38 - -91. What is the remainder when u is divided by b?
17
Let h be 1*(-2 - -9)*1. Suppose 0*t = h*t - 210. Calculate the remainder when t is divided by 4.
2
Let v(z) = z**3 - 2*z - 1. Let o be v(2). Suppose -o*b = 2*t - 31, 53 = 3*t - 3*b - 1. What is the remainder when 65 is divided by t?
14
Let q = 51 - 39. Suppose -3*t = -t - q. Calculate the remainder when 18 is divided by t.
0
Let v = -10 - -43. Calculate the remainder when 45 is divided by (-399)/v*-2 - 2/11.
21
Suppose 0 = 116*z - 36069 + 7533. Calculate the remainder when z is divided by 70.
36
Let d = -65 + 110. Suppose 2*z - 6*z + 79 = 3*n, z - 3*n = 1. What is the remainder when d is divided by z?
13
Suppose 0 = 5*q + 3*u - 109, 0*u - 77 = -4*q + u. Let a = 14 - -7. Let f = 15 + a. What is the remainder when f is divided by q?
16
What is the remainder when (-2619)/(-72) + ((-39)/(-24) - 2) is divided by 22?
14
Let x = 66 + -61. Suppose 0 = -0*i + 2*i - 84. What is the remainder when (6/2)/(9/i) is divided by x?
4
Suppose 3*c = -0*c - 3, 0 = 3*f + 2*c - 175. Suppose -3*s = w - 103 - 80, -f = -s - w. What is the remainder when s is divided by 16?
14
Let w = 15 - 13. What is the remainder when 38 is divided by w?
0
Suppose 20*v - 180 - 80 = 0. Calculate the remainder when 28 is divided by v.
2
Let x(b) = b**3 + 8*b**2 + b + 14. Calculate the remainder when 42 is divided by x(-8).
0
Suppose 2*k = -r + 6, -4*k + 9 = r - 3. Let t = -1 - r. Let c = 8 - t. What is the remainder when 24 is divided by c?
6
Let y = 422 + -363. Calculate the remainder when 292 is divided by y.
56
Let l(g) be the second derivative of 2*g**3 - 15*g**2/2 - 2*g. What is the remainder when l(14) is divided by 31?
29
Suppose -2*d + 11*r - 9*r + 30 = 0, -30 = -2*d + r. What is the remainder when 42 is divided by d?
12
Let h(o) = 2*o**3 - o**2 - 2*o + 49. Calculate the remainder when 340 is divided by h(0).
46
Let i(c) = -2*c**2 - 5*c + 7. Let v be i(-3). Suppose -h - 2*y - y + 123 = 0, 0 = -v*y + 4. What is the remainder when h is divided by 41?
38
Suppose -6*w = -w - 40. Suppose w = 3*y - 19. What is the remainder when y is divided by 4?
1
Let q(v) be the third derivative of -v**6/120 + 13*v**5/60 + 5*v**4/8 - v**3 + 40*v**2. What is the remainder when (-6)/4*(-40)/2 is divided by q(14)?
6
Let b(o) = o**3 + 12*o**2 - 28*o + 2. Let u be b(-14). Suppose -6*j + n = -2*j - 45, -u*j = 4*n - 36. Calculate the remainder when 46 is divided by j.
10
Suppose -m - x = -213, -3*m - 2*x = -0*x - 634. Suppose 0*z - m = -4*r - 3*z, 5*r - 4*z = 260. What is the remainder when r is divided by 14?
10
Let t(p) = 2*p - 5*p**2 + 2*p**3 - 2 + 6*p**2 - p**2. Let d = -4 - -6. What is the remainder when t(1) is divided by d?
0
Suppose 3*r - 12 + 0 = 0. Suppose 5*b + 15 = 7*a - 2*a, -a - r*b - 12 = 0. Let t = 1 - a. Calculate the remainder when 2 is divided by t.
0
Suppose -4*r + 139 = -757. Calculate the remainder when r is divided by 75.
74
What is the remainder when 9 + -5 + 179 + 5 is divided by 66?
56
Suppose 488 = -16*g + 20*g. Calculate the remainder when g is divided by 21.
17
Suppose 5*v = 4*n + 1010, -2*n + 293 = 3*v - 335. What is the remainder when v is divided by 10?
6
Let j = -59 - -70. Let g(y) = 6*y + 0*y**2 - 5*y**2 - 4 + 6*y**2. Calculate the remainder when j is divided by g(-7).
2
Let t = -225 - -251. Calculate the remainder when 103 is divided by t.
25
Let g = -97 + 1041. Calculate the remainder when g is divided by 86.
84
Let