 c = -5*s + 96 - 21. Let t(f) = f**3 - 7*f**2 - 8*f + 8. What is the remainder when s is divided by t(8)?
7
Let h = 4 - -5. Let a(b) = 7*b**2 + 2*b + 2. Let d be (6 - 5)*(-3 + 1). Calculate the remainder when a(d) is divided by h.
8
Let j(v) = -8*v - 5. Suppose -2*l - 2*l = 24. What is the remainder when j(l) is divided by 11?
10
Suppose 0*x = -4*k - 3*x + 8, -5*k + 10 = 4*x. What is the remainder when 3 is divided by k?
1
Suppose 0 = -7*m + 3*m - 112. Suppose 14*r = 176 - 36. Calculate the remainder when 2/(1*(-2)/m) is divided by r.
8
Let t(a) = 3*a + 4. Let b be (-6)/(-4)*(-24)/(-9). Let v = -10 + 57. Calculate the remainder when v is divided by t(b).
15
Let a be 374/(-18) + 2/(-9). Let v = 31 + a. Suppose 5*y = 2*h + h - 79, 3*h + 3*y - 39 = 0. What is the remainder when h is divided by v?
8
Suppose 9*g = 7*g. Suppose 5*o - 346 - 229 = g. Calculate the remainder when o is divided by 29.
28
Let c(n) = 1. Let m(y) = 9*y - 8. Let s(v) = -4*c(v) - m(v). Let w be (1 + 1)*9/(-6). Calculate the remainder when s(w) is divided by 11.
9
Suppose 3*s = -5*n + 157, 25 - 153 = -4*n - 3*s. What is the remainder when 172 is divided by n?
27
Let l = 80 - 73. Calculate the remainder when 47 is divided by l.
5
Let f(y) = -y**3 - 11*y**2 - 13*y - 13. Let n = 1 + -1. Let z = -10 + n. What is the remainder when f(z) is divided by 6?
5
Suppose 0 = -5*h + p + 39, 0*p + 2*p + 8 = 0. Let o(w) = w**3 - 7*w**2 + 2*w + 5. What is the remainder when 55 is divided by o(h)?
17
Let a = -108 + 151. What is the remainder when a is divided by 11?
10
Suppose -4*d + 229 = 5*o, -2*o + 3*d + 92 - 5 = 0. Calculate the remainder when o is divided by 16.
13
Let k = -3 - -5. Suppose r = k*r - 3. Suppose r*c = -0*c + 45. What is the remainder when 43 is divided by c?
13
Let o(b) = 2*b - 4. Let h be o(-6). Let u = h + 26. What is the remainder when 38 is divided by u?
8
Suppose 5*i = b + 200, 0*b + 3*b - 15 = 0. Calculate the remainder when i is divided by 21.
20
Let a(b) = -3*b + 39. Let m(i) = -i + 10. Let c(q) = -2*a(q) + 9*m(q). What is the remainder when c(-5) is divided by 14?
13
Suppose 32 = 5*x - 33. What is the remainder when x is divided by 7?
6
Let u be (-4)/(-6) - (-12)/9. Let o = 2 - u. Suppose o*n - 4*n = -40. Calculate the remainder when 28 is divided by n.
8
Suppose 4*h + m = 64 + 76, 0 = -4*h - 4*m + 128. What is the remainder when h is divided by (12/4)/((-6)/(-26))?
10
Let n be (-3)/9 + (-3)/(-9). Suppose n = z - 12 - 4. What is the remainder when z is divided by 6?
4
Let b = 6 + -4. Calculate the remainder when 33 is divided by (-48)/(-20)*10/b.
9
Suppose -3*x - 400 = -11*x. What is the remainder when 98 is divided by x?
48
What is the remainder when -6*(-2)/(-4)*(-112)/6 is divided by 19?
18
Let u be ((2 - 17)/3)/(-1). Suppose -4*m = -2*m - 4, 4*k - u*m - 18 = 0. Calculate the remainder when 19 is divided by k.
5
Let z = -25 + 28. What is the remainder when 3 is divided by z?
0
Suppose -p + 4*d + 12 = -3*p, -d + 6 = 5*p. Suppose 4 = t + p. Suppose t*i = 4*i - 4. Calculate the remainder when 6 is divided by i.
0
Suppose -14 = -w - 2*c - 2, 5*w = 3*c + 86. What is the remainder when 60 is divided by w?
12
Let y = 25 - 2. Suppose v - 288 = -3*v. Suppose 0 = -3*j + z + 44, 4*j - v = 3*z + z. Calculate the remainder when y is divided by j.
10
Suppose 5*v - 22 = -2. Suppose 4*r + 5*r - 27 = 0. What is the remainder when v is divided by r?
1
Suppose t = 3*g + 16 + 4, -5*g + 4*t = 45. Calculate the remainder when 10 is divided by (-6)/(g/((-5)/(-2))).
1
Let t(v) = -37*v**3 + 1. Suppose k - 2*d + 3*d = 16, -11 = -2*k + 5*d. What is the remainder when t(-1) is divided by k?
12
Let c(o) = 2*o**2 - 12*o + 8. What is the remainder when c(8) is divided by 11?
7
Let v(t) = -t**2 + 6*t + 1. Suppose 4*f + f - 25 = -5*m, -5*m + 18 = -2*f. Suppose 14 - m = 2*h. What is the remainder when v(h) is divided by 3?
0
Let n(r) = r**2 - 27*r - 7. What is the remainder when n(28) is divided by 11?
10
Suppose 2*x = 7*x - 260. Let t(f) = -f**2 + 10*f - 4. Let i be t(10). Let d = 14 - i. What is the remainder when x is divided by d?
16
Let j(s) = 9*s - 9. What is the remainder when 33 is divided by j(2)?
6
Suppose -3*r - j = 2*r - 203, 0 = -5*r - 4*j + 197. What is the remainder when r is divided by 22?
19
Suppose i = -0*i + 10. Let z = 14 + -10. What is the remainder when i is divided by z?
2
Let z = 53 + -18. Calculate the remainder when z is divided by 18.
17
Suppose 3*b - b = 52. Let x = 71 - -5. What is the remainder when x is divided by b?
24
Let z(o) = -13*o - 2. Suppose 3*b = b + 18. Let m be (-25)/b - 12/54. Calculate the remainder when z(m) is divided by 13.
11
Let z = 10 + 3. Suppose -20 = -4*n + u + 20, 0 = -n + u + z. What is the remainder when 25 is divided by n?
7
Let k be 2/7 - (-710)/14. Let b = 104 - k. Calculate the remainder when b is divided by 14.
11
Let x(c) = -c**3 + 4*c**2 + 6*c - 2. What is the remainder when 62 is divided by x(4)?
18
Let x(d) = -d**3 + 8*d**2 - 12*d + 4. What is the remainder when x(5) is divided by 7?
5
Suppose 0*t - 2*t = 3*p - 326, -5*t - 4*p = -822. What is the remainder when t is divided by 42?
40
Suppose 2*k - 1 = 3*k + 3*w, -2*k + 3 = 5*w. Suppose k = -4*r + 5*r. What is the remainder when r is divided by 5?
4
Suppose -5*s + 2*y + 59 = 3*y, -4*s - 5*y = -43. What is the remainder when 22 is divided by s?
10
Suppose -4*z + q + 24 = 0, -4*q = -8*z + 3*z + 41. Suppose t = 2*t - 40. What is the remainder when t is divided by (-105)/(-6)*4/z?
12
Let m(l) = l**2 + 2. Let g be m(0). Suppose 4 = -g*j + 6*j + 4*f, 0 = -4*j + 5*f + 22. Suppose j*r = 4*r - 29. What is the remainder when r is divided by 10?
9
Suppose 0*z = -3*z + 6. Suppose 5*d = z*q + 136, 2*d + q + 11 = 60. Suppose 21*b - 17*b = 200. Calculate the remainder when b is divided by d.
24
Let x be 0 - ((-1 - -2) + 1). Let g be 9/(-18) + x/(-4). Suppose -4*h = -2*v - 72, -3*v = -g*h - h + 13. Calculate the remainder when 37 is divided by h.
18
Suppose -18 = -3*f + 6. Suppose 0*j - 2*j + f = 0. Suppose j*q + 3 = 19. Calculate the remainder when 7 is divided by q.
3
Let g(o) = -o**3 + 2*o**2 + o. Let s be g(2). What is the remainder when -5 + s + 5 - -27 is divided by 16?
13
What is the remainder when (1 - (-82)/4)*2 is divided by 429/26*12/9*1?
21
Suppose 0 = 3*w - 2*z, -3*w = -3*z - z. Suppose -c = -r - 26, w = c + 4*r - 43 + 7. Suppose -b = -14 - 1. Calculate the remainder when c is divided by b.
13
Suppose m + 4*g = -13, 4*g = 4*m + 3*g - 16. Suppose -m*v + 2 = -10. What is the remainder when 7 is divided by v?
3
Let v = -20 + 36. Calculate the remainder when v is divided by 6.
4
Let z = -49 + 70. Calculate the remainder when z is divided by 8.
5
Suppose o = -2*o + 18. Let p(a) = a**2 - 3*a - 2. Let t(v) = -2*v**2 + 6*v + 3. Let r(q) = 5*p(q) + 2*t(q). What is the remainder when 40 is divided by r(o)?
12
What is the remainder when (-3)/6 + 636/8 is divided by 21?
16
Suppose n = -0 + 3. Let o(i) = -16*i**n + i - 7*i**2 + 4*i**2 + 5*i**2. Calculate the remainder when o(-1) is divided by 5.
2
Let b(a) = -96*a**3 + a**2 + 4*a + 3. Calculate the remainder when b(-1) is divided by 33.
30
Let v = -40 - -87. Calculate the remainder when v is divided by 8.
7
Let d(j) = 9*j**2 + 2*j + 1. Let m be (-1 + -1)/((-6)/(-3)). What is the remainder when (-23 + 1)*(m - 0) is divided by d(-1)?
6
Suppose -2*o - 21 = -55. Calculate the remainder when o is divided by 5.
2
Suppose i + 0*i = 64. Calculate the remainder when i is divided by 11.
9
Suppose 2*l - l = 0. Suppose -47 = 2*y - 7*y - f, 5*f + 15 = l. Calculate the remainder when 27 is divided by y.
7
Let z = -73 - -100. Calculate the remainder when z is divided by 10.
7
Suppose 2*q + 5 + 11 = 0. What is the remainder when 3 is divided by ((-9)/12)/(2/q)?
0
Suppose -60 = -5*u + 90. What is the remainder when u is divided by 8?
6
What is the remainder when 92 is divided by 266/21*(-3)/(-2)?
16
Let h be 1/(3/(-4))*-213. Let u = -199 + h. Calculate the remainder when u is divided by 22.
19
Calculate the remainder when 174 is divided by 2/8 + -3*700/(-48).
42
Let l(x) = -x**2 + 5*x + 5. Let w be l(6). What is the remainder when (w/3)/((-3)/126) is divided by 2/(-8) + (-21)/(-4)?
4
Let d(o) = o**3 - 8*o**2 + 2*o - 11. What is the remainder when 4/(9/(-6) + 2)