 Suppose -j*d - 8 = -50. What is the remainder when d is divided by 6?
3
Let g(n) = 2*n**2 - 8*n + 3. Calculate the remainder when 15/(-6)*(-8 - 2) is divided by g(5).
12
Let k be -19*15 + 1 - 0. What is the remainder when (-4)/14 - k/14 is divided by 11?
9
Let r = 116 + -76. Suppose v - r = -v. Calculate the remainder when v is divided by 7.
6
Suppose 126 + 139 = 5*z. What is the remainder when z is divided by 15?
8
Let f(u) = -u**3 + 6*u**2 + 11*u - 5. Suppose -8 - 31 = -5*g + j, 0 = -g + 3*j + 5. What is the remainder when f(7) is divided by g?
7
Let y = -196 - -254. Calculate the remainder when y is divided by 10.
8
Let j(q) = -q**3 + 6*q**2 + 9*q - 1. Let f be j(7). Let y = f - 5. What is the remainder when 11 is divided by (2 - 4)/((-4)/y)?
3
Let i(n) = n**3 + 11*n**2 - 7*n + 11. Let q be i(-9). Suppose f + 3*f - q = 0. Calculate the remainder when f is divided by 15.
14
Let h be 958/4 + 2/4. Suppose -169 = -3*l - y + 2*y, 4*l - 5*y = h. Suppose 2*g + 2*u = g + 9, -3*g + u + l = 0. Calculate the remainder when g is divided by 9.
8
Let b = 27 + 5. Suppose -4*j = 5*l - 96, -l - 2*l + b = -4*j. Suppose -4*t = -5*x - 124, -2*t + 4*x + 25 = -37. What is the remainder when t is divided by l?
15
Let a = 51 + -35. What is the remainder when 30 is divided by a?
14
Let p = 110 - 67. Suppose -p + 184 = 3*k. Calculate the remainder when k is divided by 16.
15
Let b(u) = -u**2 + u. Let v be b(0). Let m(p) be the first derivative of p**3/3 + 7*p - 2. What is the remainder when 12 is divided by m(v)?
5
Suppose -51 = 3*b - r - 146, 5*b + 3*r = 177. Calculate the remainder when b is divided by 12.
9
Let b(x) = x**2 - 4*x - 3. Let d = 6 + -10. What is the remainder when d/18 - 1180/(-45) is divided by b(6)?
8
Let c(k) = k - 11. Let w be c(11). Let d = w + 5. Calculate the remainder when 13 is divided by d.
3
Let y(c) = 5*c + 4 - 3 + 6*c**2 + 5 - 1. What is the remainder when 56 is divided by y(-2)?
18
Let n(h) = -4*h + 16. What is the remainder when 58 is divided by n(0)?
10
Let m(l) = 4*l - 1. Let i(d) = d + 1. Let y be i(1). Calculate the remainder when 20 is divided by m(y).
6
Let t = 7 + -3. Let i be ((-20)/(-6))/(2/57). Suppose -t*p - p = -i. Calculate the remainder when p is divided by 10.
9
Suppose 3*i - 27 = 3. Calculate the remainder when (4/(-10))/(1/(-45)) is divided by i.
8
Let u(w) = w - 4. Let v be u(6). Suppose 4*q - 5*d = 72, q + d = -v*d + 18. What is the remainder when 2/6*-2*-78 is divided by q?
16
Let p = -52 + 105. Let c = -262 - -280. Calculate the remainder when p is divided by c.
17
Let r(b) = b**2 + 4*b + 2. Let t be r(7). Let v = -32 + t. Calculate the remainder when v is divided by 12.
11
Suppose 6*o - 675 = o. Suppose 7*n = 2*n + o. What is the remainder when n is divided by 15?
12
Let c(f) = 6*f - 1. Let m = 289 - 197. Suppose -5*w - 3*x + m = x, -4*w + 3*x + 86 = 0. What is the remainder when w is divided by c(2)?
9
Suppose -l = -3*d - 38, -5*d - 5*l = -0*d + 50. Let n be d/(-7) - 8/(-28). Suppose 7*v - 310 = n*v. Calculate the remainder when v is divided by 16.
14
What is the remainder when 42 is divided by 6/5*25/2?
12
Let l(t) = 4*t - 2. Let a(k) = k**3 - 7*k**2 + 8*k - 3. What is the remainder when l(7) is divided by a(6)?
8
Let w = 184 + -90. What is the remainder when w is divided by 32?
30
Let m(p) = 3*p**2 + p + 14. What is the remainder when 27 is divided by m(0)?
13
Let b(i) = 5*i + 13. Let a be b(-9). Let v = 60 + a. Calculate the remainder when 82 is divided by v.
26
Let x = 42 - 2. Calculate the remainder when 198 is divided by x.
38
Suppose 44 = 3*v - 10. What is the remainder when 69 is divided by v?
15
Suppose -3 + 4 = -a. Let j = 1 - a. Suppose 5*m = m + 16. Calculate the remainder when m is divided by j.
0
Let f be 44/(-8) + 1/2. Let v = 7 + f. Suppose -3*l + 12 = -3*x - 2*x, -x = -v*l + 8. Calculate the remainder when 13 is divided by l.
1
Let x(y) = y - 7. Suppose 2*i - 5*i = -33. Let b be x(i). Let u(j) = j**3 - 2*j**2 - 6*j + 2. What is the remainder when u(b) is divided by 3?
1
Let s(u) = -u**2 + 14*u - 10. Let m(p) = p + 6. What is the remainder when s(9) is divided by m(6)?
11
Suppose -16*p + 15*p = -29. What is the remainder when 171 is divided by p?
26
Suppose -5*y + 33 = 3*f, 6*y - 3*y = 0. What is the remainder when 40 is divided by f?
7
Suppose -31*h + 84 = -25*h. What is the remainder when 36 is divided by h?
8
Let c(u) = 9*u**3 - u**2 - 9*u - 11. Let d(s) = 4*s**3 - 4*s - 5. Let x(a) = 2*c(a) - 5*d(a). What is the remainder when 18 is divided by x(-2)?
4
Let q = 60 - 0. Calculate the remainder when q is divided by 31.
29
Let a(k) = -k**2 - 5*k + 3. Let q be a(-6). Let d(r) = -r**2 - 7*r - 4. What is the remainder when 30 is divided by d(q)?
6
Suppose 0 = 3*f + 3*g - 201, 0*f + 2*f = -4*g + 132. Let o(a) = 4*a + 2. Let m be o(5). Suppose m = 2*b - 24. What is the remainder when f is divided by b?
22
Let b(g) = g**3 - 3*g**2 + g + 2. Let x be b(2). Let n be -26 + (-1 - (-1 + x)). Let u = -9 - n. Calculate the remainder when u is divided by 6.
5
Let i(c) = c**3 + 3*c**2 - 4*c + 5. Let l be i(-4). Suppose l*g - 11 = 19. Calculate the remainder when g is divided by 3.
0
Let r(q) = 2*q**3 - 5*q**2 + q + 4. Calculate the remainder when r(3) is divided by 9.
7
Let n be ((-10)/(-3))/(2/3). Let g(f) = 6*f - 4. Let d(h) = -7*h + 5. Let a(o) = -3*d(o) - 2*g(o). What is the remainder when a(n) is divided by 10?
8
Let v(d) = d**3 + 13*d**2 + 23*d + 31. What is the remainder when 179 is divided by v(-11)?
19
What is the remainder when 84*(5 + (-9)/3 - 1) is divided by 17?
16
Let v = -187 + 279. What is the remainder when v is divided by 47?
45
Suppose 0 = -0*y + y - 16. Let l(j) = j - 7*j + 5*j + 2. What is the remainder when y is divided by l(-4)?
4
Let t(f) = -f**2 - 13*f - 17. What is the remainder when 66 is divided by t(-8)?
20
Let u(m) = 7*m + 47. Suppose -18 = -a + 17. What is the remainder when a is divided by u(-5)?
11
Let a = 7 - 7. Suppose 0 = -a*i + 3*i - 24. Let y = i - -3. What is the remainder when y is divided by 4?
3
Let n = -7 + 9. Suppose 0 = 5*y + k - 42, -1 = -4*y - 2*k + 29. Let q = y + n. Calculate the remainder when 21 is divided by q.
10
Let q be (-24)/(-5) + (-2)/(-10). Suppose 5*z - v - 19 = 3*v, 5*z = -q*v + 55. What is the remainder when 18 is divided by z?
4
Suppose -2*m = 8, 2*y + y - m - 10 = 0. Suppose -4*a + 5*p + 127 = 0, -4*a + y*a - 4*p = -70. Calculate the remainder when a is divided by 9.
6
Let c = -66 - -111. Suppose -w + p = -8, 4*w = -w + 4*p + c. What is the remainder when 37 is divided by w?
11
Suppose 4*w - w = 180. Suppose -w = 3*v - 5*v. Calculate the remainder when v is divided by 8.
6
Let d(a) = a**3 + 5*a**2 - 9*a - 2. Calculate the remainder when 46 is divided by d(-6).
14
Let z(y) = 12*y - 7. Let w = 5 - 1. Calculate the remainder when z(w) is divided by 11.
8
Suppose -2*j - 5 = 1. What is the remainder when 31 is divided by (-4 - -2 - j) + 15?
15
Suppose 0*f - 5*f = -4*h + 2, -h - 5*f = -13. Let w be 2 + 3/h + -5. Calculate the remainder when 29 is divided by (-24 - -4)*1/w.
9
Let a = -194 + 323. What is the remainder when a is divided by 33?
30
Suppose -a - 104 = 5*q - 0*a, -2*q = 3*a + 52. Let m = 1 - q. Calculate the remainder when m is divided by 8.
5
Let n = -96 - -207. Calculate the remainder when n is divided by 29.
24
Suppose 0 = -4*v + 3*v - 4*s + 72, -234 = -4*v + 2*s. Calculate the remainder when v is divided by 31.
29
Suppose 5*g - 6*i - 65 = -i, g = 4*i + 16. What is the remainder when 23 is divided by g?
11
Let v = 25 + -13. Let r = v + -3. Calculate the remainder when r is divided by 5.
4
Suppose -181*r + 182*r = 8. Calculate the remainder when 62 is divided by r.
6
Let y = 69 - 47. Suppose 758 = 14*b - 152. Calculate the remainder when b is divided by y.
21
Suppose -u + 5 = 2. Let t(d) = -d**2 + 6*d - 3. Let v(h) = -h**3 + 5*h**2 - 4*h + 5. Let j be v(4). What is the remainder when u is divided by t(j)?
1
Let x = 39 - 22. Suppose 2*r - 7 = -5*g, -3*r + 3*g + 19 + 2 = 0. Calculate the remainder when x is divided by r.
5
Let q = 8 - -17. Suppose -s + 6*s - q = 0, -y + 15 = -s. Let l = -10 + y. Calculate the remainder when 29 is divided by l.
9
Let c(q) = q - 8. What is the remainder when (-4)/(-5)*(1 + 4) is divided by c(11)?
1
Suppose -3