ppose 547 = -2*z + 1631. Let h(i) = i + 4. Let u be h(3). What is the remainder when z/u - 3/7 is divided by 20?
17
Suppose -b - 19 = -2*d, -d + 3*b + 3 = 6. Suppose 4*u - 2*r - 46 = d, 5*u + 3*r = 56. Calculate the remainder when 48 is divided by u.
9
Suppose c + 58 = n + 21, 0 = c - 2. Calculate the remainder when 233 is divided by n.
38
Let i(y) = -y**3 + 2*y**2 + 2*y + 10. Let k be i(3). Let w(u) = 8*u - 25. What is the remainder when 120 is divided by w(k)?
27
Let r = -12 - -2. Let d be (-4 - 44/r)*30. Suppose k - 41 + d = 0. Calculate the remainder when k is divided by 10.
9
Let h = -130 + 132. Suppose -i + 63 = 3*d + h*i, 0 = 5*i. What is the remainder when d is divided by 17?
4
Suppose -4*m + 3*r = -91, 22 = m - 2*r + r. Suppose -63 = -3*n - 2*y, 0 = -n - 2*y - 0*y + m. What is the remainder when 36 is divided by n?
17
Suppose 0 = o - 14 - 1. Calculate the remainder when 3939/202 + 2/(-4) is divided by o.
4
Let u(c) = c**2 - 16*c + 3. Let o be u(16). Suppose -o*t = t - 236. Calculate the remainder when t is divided by 10.
9
Suppose 9*x = 13*x - 980. Suppose 285*l - 292*l + x = 0. Let q(y) = 2*y - 1. Calculate the remainder when l is divided by q(5).
8
Calculate the remainder when (142/3)/(96/144) is divided by 15.
11
Suppose -6*g + 9*g - 36 = 0. Calculate the remainder when g is divided by 8.
4
Let f(t) = 1 + 1 - 2*t**3 + 6 + 7 + 17*t**2 + 4*t. Suppose 59 - 3 = 2*j. What is the remainder when f(8) is divided by j?
27
Suppose -2*c - 1423 = -3*v, v + 2*v - 1443 = -3*c. Calculate the remainder when v is divided by 40.
37
Let b = 91 - 91. Suppose 5*z + 0*z - 90 = b. Calculate the remainder when z is divided by 5.
3
Let r(v) = 31*v - 11. Let k(h) = 15*h - 5. Let q(o) = -7*k(o) + 4*r(o). Suppose 4 - 70 = -3*p. Calculate the remainder when q(5) is divided by p.
20
Suppose -5*g = 4*w - 4, -2*g - 6 = -w - 5. Calculate the remainder when ((-8)/(-28))/(3/21) is divided by w.
0
Let a = -46 - -47. Calculate the remainder when (-56 - -5)*(-1)/a is divided by 19.
13
Calculate the remainder when 167 is divided by ((-4)/13)/2 + (-223)/(-13).
14
Suppose -3*q = j - 24, 4*q = 5 + 15. Let g = -2 - -6. Suppose -43 = -3*u + g*i, -2*u + 5*u - i - 49 = 0. What is the remainder when u is divided by j?
8
What is the remainder when 56 is divided by -9*(5 - 5 - 1)?
2
Let p = 4 + -2. Suppose -3*j + 99 = 3*y, p*j + y - 5*y - 66 = 0. Calculate the remainder when j is divided by 17.
16
Suppose 266 = -3*k + 347. What is the remainder when 179 is divided by k?
17
Suppose 0 = -2*h + 4*c + 32, -7*h + 6*h - c + 4 = 0. Suppose 0 = -0*q + 3*q. Suppose q - 42 = -3*i. Calculate the remainder when i is divided by h.
6
Suppose -417 = -7*y + 31. Suppose 0 = 4*u - k - 72, 5*u - u = 3*k + y. What is the remainder when 50 is divided by u?
12
Let x(d) = -d**3 + 6*d**2 + 8*d + 4. Calculate the remainder when 92 + 46/14 + 6/(-21) is divided by x(7).
7
Let y(l) = l**3 - 5*l**2 + 4*l - 19. Let w be y(8). Suppose 17*c - 12*c = w. Calculate the remainder when c is divided by 6.
5
Let v(b) = 2*b**3 - 9*b**2 + 2*b - 8. Let l be v(6). Let t = l + -95. Calculate the remainder when 64 is divided by t.
13
Let p(w) = w**2 + 25*w - 34. What is the remainder when p(-30) is divided by 25?
16
Let c(t) = -t**3 - t**2 - 5*t - 3. Let b be c(-3). Suppose -4*o - o = b. Let j(w) = -w**3 - 5*w**2 + 4*w. Calculate the remainder when 46 is divided by j(o).
10
Suppose 15*j - 7*j - 104 = 0. Let r = -248 + 493. Suppose r = 8*x - 3*x. Calculate the remainder when x is divided by j.
10
Let r = -11 - 9. Let g = r + 64. Calculate the remainder when g is divided by 16.
12
Suppose 42 - 18 = 4*a. Suppose -u + 31 = 4*w, -2*w + 44 = -4*u + a. What is the remainder when 31 is divided by w?
4
Let s = -35 - -35. Suppose -19 = -d + 3*j - s, -5*j = -5*d + 65. Let m(w) = 4*w - 17. Calculate the remainder when d is divided by m(5).
1
Let g(i) = i**3 + 10*i**2 + 7*i - 5. Let a be g(-9). Suppose -3*z - a = -t - 2*z, 4*z = 20. What is the remainder when 70 is divided by t?
16
Suppose -5*q + 155 = 2*r, -q + r + 28 = 4. Calculate the remainder when q is divided by (-6*4/(-18))/((-8)/(-24)).
1
Let c(p) = 23*p - 5. What is the remainder when 65 is divided by c(1)?
11
Suppose 119 = q + 3*r, -r + 4 = 1. Suppose 2*u = 5*d + 65, -6*u + 2*d + q = -u. Suppose -6*n + 385 = -n. What is the remainder when n is divided by u?
17
Let j(f) = 5*f**2 + 23*f - 47. Let o(s) = -2*s**2 - 11*s + 23. Let u(a) = 3*j(a) + 7*o(a). Let l = 137 + -81. Calculate the remainder when l is divided by u(9).
27
Suppose -4*z - 225 = -q, -3*z - 162 + 1081 = 4*q. Suppose 2*p - q - 43 = 0. What is the remainder when p is divided by 23?
21
Suppose 9 = 2*f + m, m + 1 = -f + 6. Suppose f*b - 80 = 60. Suppose 0 = -5*q - 3*o + 48, 3*q = -5*o + 2*o + 30. What is the remainder when b is divided by q?
8
Let y(s) = s**2 + 6*s - 25. Let q be y(-9). Calculate the remainder when ((0 - 0) + 1)*246/q is divided by 31.
30
Suppose 604 = 3*y + 5*u, y - 4*u + 5 = 212. What is the remainder when y is divided by 41?
39
Let o(r) = -81*r - 1. Let j be o(-1). Suppose 20 = -5*z - j. Let c = z + 55. Calculate the remainder when c is divided by 9.
8
Let t(z) = z + 1. Let q be t(2). Suppose -67 = -d - 5*j, 2*d + d + q*j - 165 = 0. Suppose 5*c - d = c. Calculate the remainder when 37 is divided by c.
11
Suppose s + 5 = 48. Calculate the remainder when s is divided by 3.
1
Suppose 4*w = 75 + 149. Let z = -57 - -83. Calculate the remainder when 16/w - 1074/(-14) is divided by z.
25
Let y(j) = j**3 - 4*j**2 + 12*j - 131. Suppose -20 = -5*u, -5*h + 0*h = u - 379. What is the remainder when h is divided by y(6)?
10
Let k(r) = 8*r**2 - 2*r + 1. Let t = 687 + -682. Calculate the remainder when k(-2) is divided by t.
2
Let a be ((-14)/21)/((-2)/(-24)). Let r be 560/6 - a/12. Let s = r - 11. What is the remainder when s is divided by 21?
20
Suppose 9*z - 48 = 15. Suppose z*n - 100 + 30 = 0. What is the remainder when (-1)/2*(0 + -58) is divided by n?
9
Let c = 855 + -820. What is the remainder when 1714 is divided by c?
34
Let u be 9/((-28)/8 - -2). Let f(v) = -v**3 - 7*v**2 - 7*v - 9. Let r be f(u). Let b(l) = l**2 - 3*l - 4. Calculate the remainder when 53 is divided by b(r).
11
Let g be 6 + -2 + (2 + 0)/(-1). Suppose -2*z = -g*x - 3*x - 238, x = -z + 126. What is the remainder when z is divided by 42?
40
Suppose -16*c + 11*c + 275 = -5*z, 171 = 3*c - z. What is the remainder when 461 is divided by c?
55
Let y be ((-38)/(-4))/(2/8). Suppose 4*m = -6 + y. Calculate the remainder when 15 is divided by m.
7
Let q(f) = -f**3 + 4*f**2 + 3*f - 6. Let s be q(4). Suppose w - s = -3. What is the remainder when 12 is divided by w?
0
Suppose g + 79 = 2*g. Calculate the remainder when g is divided by 744/45 - (-2)/(-5) - 502/3765.
15
Suppose -s - 1 = -2*r, 5*r = 4*r - 3*s - 3. Suppose 11*y - 157 - 63 = r. What is the remainder when y is divided by 11?
9
Let o = -186 - -265. Suppose 2*t - 3*t = -o. Let d = 138 - t. What is the remainder when d is divided by 12?
11
Suppose -w + 4 = 0, -g - 3 + 22 = w. Suppose -3*r + g + 12 = 2*s, 2*r + 2*s = 16. Calculate the remainder when 6/(-6)*(-24 - -4) is divided by r.
9
Let l = 20 - -11. Suppose 3*v + 5*o - 56 + 9 = 0, 3*v - o = 23. Suppose 0 = v*g + 8*g - 136. What is the remainder when l is divided by g?
7
Suppose -3*h = -4*d + 65, 183*h - 5 = 178*h. Calculate the remainder when 134 is divided by d.
15
Suppose 4*l + f - 364 = 0, 296 = 3*l + 3*f + 23. Calculate the remainder when l is divided by 31.
29
Let u(f) = 8*f**2 - 45*f + 5. Calculate the remainder when 252 is divided by u(6).
22
Let s = 24 - 34. Let i = 12 - -7. Let k = i + s. Calculate the remainder when k is divided by 5.
4
Suppose 0 = 4*g + 3 - 19. Suppose 0 = 3*h + 5*i - 183, h + g*i = 5*i + 69. Suppose 4*x - 58 = h. What is the remainder when x is divided by 8?
7
Suppose -3346 = -100*g + 9654. Calculate the remainder when g is divided by 119.
11
Suppose 0 = -7*j - 392 + 1260. Let p = j + -45. What is the remainder when p is divided by 20?
19
Let g = 1118 + -656. What is the remainder when 5/20 + g/8 is divided by (80/28)/(1/7)?
18
Calculate the remainder when (0 + 32/48)/(4/1686) is divided by 15.
11
Let o(w) = -w**2 - 64*w - 171. What is the remainder when o(-56) is divided by 45?
7
Let p(q) = 21*q**2 - 27*q 