
Suppose 4*c - 8 = 0, 3*c + 163 = 2*n - 107. What is the remainder when 284 is divided by n?
8
Suppose 3*i - 76 = -4*u, 2*u + 32*i - 37*i - 38 = 0. Let y = 81 + -52. Calculate the remainder when y is divided by u.
10
Let w(i) = 7*i + 1. Let x(r) = -3*r. Let q(u) = -2*w(u) - 5*x(u). Let n(g) = g - 5. Calculate the remainder when n(7) is divided by q(3).
0
Let m be (2/6)/(2/30). Suppose -82 = -m*i - 3*z, z + 0*z - 46 = -3*i. Let d = 44 - 40. What is the remainder when i is divided by d?
2
Suppose -2*p + 2 + 41 = f, -3*f + 81 = 4*p. Suppose 6*r - 4*r = -6. Let t(o) = -o + 10. Calculate the remainder when p is divided by t(r).
11
Let u(h) = h**2 - 6*h - 40. What is the remainder when 79 is divided by u(12)?
15
Suppose 165 = 3*l + 2*l + r, 0 = -4*r + 20. What is the remainder when (0 - -2) + l - 4 is divided by 11?
8
Let m(p) = 22*p**3 + p**2 - 3*p + 2. Calculate the remainder when (2/6)/(10/1650) is divided by m(1).
11
Let c(r) = -r**3 + 15*r**2 + 21*r - 203. Calculate the remainder when 318 is divided by c(15).
94
Suppose 3*r + 5*b - 88 = 0, -8*r - b - 63 = -10*r. Suppose 4*w - 85 = -5*d + 2*w, 0 = -4*d + 3*w + 91. What is the remainder when r is divided by d?
12
Suppose 30*p - 675 = 5*p. Calculate the remainder when 131 is divided by p.
23
Let l(a) = a**3 - 11*a**2 - 23*a - 20. Let j = 41 + -28. What is the remainder when 72 is divided by l(j)?
15
Let y = -44 - -44. Suppose c = -y*u + 2*u + 55, 159 = 3*c - 4*u. What is the remainder when 97 is divided by c?
48
Let a(t) = -t**2 + 12*t - 10. Let w be a(14). Let b = w + 88. What is the remainder when (-1 - -4 - 1) + b is divided by 11?
8
Suppose 0 = -5*r + 4*l + 122, -4*r + 0*l - 5*l + 73 = 0. Suppose 8*t + 2*g = 12*t - 4, 2*g - 17 = -3*t. What is the remainder when r is divided by t?
1
Let c(b) = 42*b + 148. Calculate the remainder when c(-2) is divided by (-132)/(-10) - 4/20.
12
Let g(n) = -n**2 - 10*n + 1. Suppose -4*r = -311 - 37. Calculate the remainder when r is divided by g(-4).
12
Suppose -y + 2 = -2*p - 3, y = 5*p + 14. Let m be -7*((-45)/35 - y). Suppose -15 = -v + m. Calculate the remainder when v is divided by 9.
8
Suppose 0 = 25*m + 7*m - 1248. Calculate the remainder when 72 is divided by m.
33
Let j(q) = -4*q + 18. Let t be j(7). Let x(b) = -b**2 - 12*b + 7. Calculate the remainder when 77 is divided by x(t).
23
Suppose 0 = -3*p - p. Calculate the remainder when 3 - (-34 - (-1 + p)) is divided by 19.
17
Let n be 4/(-1)*5/2. Let w = 7 - -40. Let k = w + n. Calculate the remainder when k is divided by 13.
11
Suppose y + 2*p = -20, y + 54 = -2*y - 4*p. Let s = y - -16. Calculate the remainder when 31 is divided by s/(-6) - (-68)/6.
9
What is the remainder when 196 is divided by (-326)/(-10) + (126/15 - 8)?
31
Let x(c) be the third derivative of -c**4/24 - 3*c**3/2 - 15*c**2. What is the remainder when 11 is divided by x(-15)?
5
Let u(n) = -3*n + 54. Let t(j) = j. Let d(a) = 6*t(a) + u(a). What is the remainder when d(-10) is divided by (-3 + 1 - -17) + -1?
10
Let v = 23 + 6. Let w = v - 21. Suppose 5*z = 3*a + 118, 0 = -5*z + 2*a - 4*a + 113. What is the remainder when z is divided by w?
7
Let g be -2 + (-1 - 0)*-8. Let f(w) = -w**3 + 7*w**2 - 3*w + 1. Let u(h) = h**2 - 23*h + 130. Calculate the remainder when f(g) is divided by u(15).
9
Suppose 2*o - 6 = -5*m, 3*m = 3*o + 5*m - 9. Calculate the remainder when 106 is divided by o.
1
Let q(h) = -3*h**2 + 25*h + 4. What is the remainder when 284 is divided by q(7)?
28
Suppose 0 = -y + 372 - 367. Calculate the remainder when 56 is divided by y.
1
Let u = -795 + 803. What is the remainder when 14 is divided by u?
6
Suppose 10152 + 2808 = 135*z. Calculate the remainder when z is divided by 29.
9
Let v = -90 + 252. Let c(f) = -6*f - 1. Calculate the remainder when v is divided by c(-7).
39
Suppose 0 = 5*g - 117 - 33. Suppose -o + g = -17. Suppose -519*z - 80 = -524*z + 5*b, 0 = 2*z - 5*b - 32. What is the remainder when o is divided by z?
15
Let m(y) = -y + 22. What is the remainder when 240 is divided by m(0)?
20
Let b(v) = v + 7. Let g(l) = -l**3 + 6*l**2 - 6. Let o be g(6). Suppose 17 = 187*s - 167*s - 43. What is the remainder when s is divided by b(o)?
0
Suppose -45 = -0*q - q. Let h = -18 + q. What is the remainder when h is divided by (21/12)/(2/8)?
6
Suppose 3*a = 6, -2*n + 4*a + 4 = -0. Suppose n = 2*b - 28. Suppose 3*w - 32 = -5. What is the remainder when b is divided by w?
8
Calculate the remainder when ((-363)/(-22))/((-3)/(-20)) is divided by 2 + -8 + 50 - 7.
36
Let j(r) = 95*r + 1058. What is the remainder when j(-9) is divided by 45?
23
Suppose -t = 3*t + 3*x - 4, 0 = 2*t + 2*x. Suppose -t = 4*g - 6*g. Suppose g*z + v - 24 = -v, 2*v = -z + 15. What is the remainder when 25 is divided by z?
7
Suppose -2*w + 4*x + 36 = x, -5*x = 2*w - 20. Let j be (-6)/w - (-212)/5. Suppose -r + j = 2*r. What is the remainder when 55 is divided by r?
13
Let d = 14 + -6. Suppose 4*u = d*u - 16. Suppose 0 = -u*t + 417 - 105. Calculate the remainder when t is divided by 27.
24
Let l be ((-6)/5)/3 + 238/70. Suppose -5*s + z + 120 = -443, -l*z = s - 119. What is the remainder when s is divided by 29?
26
Suppose 0 = -10*j + 15*j - 120. Let q = j - 14. Calculate the remainder when 19 is divided by q.
9
Suppose -2*w = -6*w + 60. Calculate the remainder when (w/10)/((-9)/(-564)) is divided by 19.
18
Suppose -2 + 7 = f. Suppose -46 = -f*s + 29. Let g(k) = 2*k + 4. Calculate the remainder when g(s) is divided by 18.
16
Let w(n) = -8*n + 9. Suppose -16*y + 13*y = -27. Let u be w(y). Calculate the remainder when 35 is divided by u/(-7) + (0 - 0).
8
Let f = 48 - 51. Let b(p) = 5*p**2 + p - 2. What is the remainder when 118 is divided by b(f)?
38
Suppose -10*t + 5*t - r + 100 = 0, -t + 20 = -r. What is the remainder when 716 is divided by t?
16
Let a = -897 + 1269. Calculate the remainder when a is divided by 94.
90
Suppose -t = t + 18. Let a be 24 + (-5)/((-15)/t). Suppose -a = -2*g + 13. What is the remainder when 83 is divided by g?
15
Suppose -204 = -33*y + 27*y. What is the remainder when y is divided by 20?
14
Let k(o) be the second derivative of -o**5/4 - o**4/4 + 2*o**3/3 + 3*o**2/2 - 3*o. Calculate the remainder when k(-3) is divided by ((-36)/81)/((-8)/612).
31
Let h(y) = -4*y - 21. Let l be h(-6). What is the remainder when 7 - l - -7*1 is divided by 4?
3
Let h(b) = -b**3 + 6*b**2 + 3. Let r(z) = -3*z**3 + 18*z**2 - z + 8. Let p(f) = -11*h(f) + 4*r(f). What is the remainder when 39 is divided by p(3)?
11
Suppose 4*s - 81 = -3*w - 14, 5*w - 120 = -5*s. Let m(y) = 10*y**2 - 3*y + 2. Let d be m(1). Let b = d + w. What is the remainder when b is divided by 10?
8
Calculate the remainder when 21*(43/3 + 0) is divided by 16.
13
Suppose 5*c - 277 = -102. Let s = c - -218. What is the remainder when (0 + -1)/((-11)/s) is divided by 13?
10
Let p be ((-22)/(-4))/(3/108). Suppose 0 = 2*y - 2*w - p, y - 4*y = 3*w - 279. Calculate the remainder when y is divided by 25.
21
Suppose -2*v - b + 16 + 41 = 0, v - 5*b - 12 = 0. What is the remainder when 40 is divided by v?
13
Let b(r) = r**3 - 11*r**2 + 21*r - 5. What is the remainder when 747 is divided by b(9)?
21
Suppose 25*s = 3981 + 819. What is the remainder when s is divided by 66?
60
Suppose d = 4*d - 3*f + 45, 4*f - 4 = 0. Let z = 17 + d. Suppose -x + 72 = v, -5*x - z*v - 26 + 382 = 0. What is the remainder when x is divided by 24?
22
Let a = -30 + 32. Suppose -a*u = -34 - 22. What is the remainder when u is divided by 15?
13
Suppose -9 - 6 = -5*u. Suppose -32 = -t - u*b, -t - 11*b = -9*b - 27. What is the remainder when 26 is divided by t?
9
Let n(r) = -6*r. Let o be n(-1). Suppose -o*z - 55 = -7*z. Suppose 0 = 3*m + 2*m - z. What is the remainder when m is divided by 3?
2
Let l(v) = v**3 + 6*v**2 - 3. Let s be l(-3). Suppose -4*b + s = 5*j, 4*b + 4 = 3*b. Let z = j - -2. Calculate the remainder when z is divided by 7.
3
Suppose -2*k + 33 = -4*h - 29, -3*k = 4*h - 133. Calculate the remainder when k is divided by 10.
9
What is the remainder when 56 is divided by (12/(-30) + 4/20)*-95?
18
What is the remainder when 159 is divided by 144/4*4/32*4?
15
Suppose 5*o = 4*r + 4614, -6*o = -4*o - r - 1845. What is the remainder when o is divided by 133?
124
Suppose 4*d + d = 0. Let q(l) = -6*l**2 - l - 11*l**3 + 