- r + 4. Let y be k(0). Suppose -b = -y*b. Suppose 3*x = m + 36, 2*x + 2*m - m - 19 = b. What is the remainder when x is divided by 6?
5
Let w = -19 - -28. Let t(x) = 17*x**3 - x**2 - x + 1. Calculate the remainder when t(1) is divided by w.
7
Suppose 0 = -3*y + i + 92 - 28, 4*i - 8 = 0. What is the remainder when 129 is divided by y?
19
Let b(n) = -13*n**3 - n - 1. Calculate the remainder when b(-1) is divided by 6.
1
Let c(l) = -l**3 - 5*l**2 + l + 6. Let w be c(-5). Calculate the remainder when 2/8 - (-86)/8 is divided by w/(2 + (-22)/12).
5
Suppose -3*y - 4 + 61 = 0. Suppose -n - 219 = -4*n. Calculate the remainder when n is divided by y.
16
Suppose t - 25 = -4*t. Suppose -v + 2*v + f + 51 = 0, 2*v + 123 = t*f. Let s = 80 + v. Calculate the remainder when s is divided by 9.
8
Let d(z) = 6*z**3 - z**2 + 2*z - 1. Let k be ((-4)/8)/((-1)/2). Let n be d(k). Let s = n + 6. Calculate the remainder when 22 is divided by s.
10
Suppose q + 3*q - 212 = 0. Let k(t) = -t**3 - 12*t**2 - 14*t - 19. What is the remainder when q is divided by k(-11)?
11
Let l(i) = -i**2 + 9*i - 8. Let a be l(7). Let c = a - 3. Let s(w) = 3*w**2 - w - 4. Calculate the remainder when s(c) is divided by 7.
6
Let j(s) = 6*s - 4. Let n = 11 - 7. Calculate the remainder when 59 is divided by j(n).
19
Let a = 5 + -2. Suppose -39 = -a*u - 5*f, 4*u - 41 - 16 = -5*f. Calculate the remainder when 52 is divided by u.
16
Let a be (-28)/(3/(-12)*2). Suppose 3*v - 2*n = -6*n + 42, a = 4*v + 2*n. What is the remainder when 69 is divided by v?
13
Suppose 3*n = -2*z + 4, 5*z - 3*z = 4. Suppose n = 4*u + 9 - 49. Calculate the remainder when 19 is divided by u.
9
Let g(n) = 16*n - 1. What is the remainder when g(2) is divided by 8?
7
Let c(d) = -d + 23. Let b(a) = -6*a + 1. Calculate the remainder when c(-14) is divided by b(-2).
11
Suppose -4*j + 20 = 0, -3*m + 3*j = -0*j + 6. Let h be (49/4 - m)*4. Suppose -5*u + b - 5*b + h = 0, u + 4 = 3*b. What is the remainder when 8 is divided by u?
3
Suppose 2*q = -3*k + 73, -4*q - 3*k + 204 - 55 = 0. What is the remainder when q is divided by 20?
18
Let i(s) = -3*s - 5. Let o be i(-4). What is the remainder when (o - 3)*5/4 is divided by 2?
1
Let d be 0 + 51/(-3)*1. Suppose 0 = m + 4*i + 10, 2*m - 5*i + 1 = -19. Let h = m - d. Calculate the remainder when h is divided by 2.
1
Suppose c + 1 - 5 = 0. Suppose -6*v + v = -3*q - 1, c*q + 7 = v. Calculate the remainder when 30 - -2*(-3 - q) is divided by 15.
13
Let a = 2 - -3. Suppose -188 = -a*s + 3*o, -18 = -s - 5*o + 14. What is the remainder when s is divided by 13?
11
Let n = -64 + 91. Let u = n + -16. What is the remainder when 30 is divided by u?
8
Let v(j) be the first derivative of -3*j**2/2 - 12*j + 2. What is the remainder when 17 is divided by v(-7)?
8
Let z(u) = -u**3 - 2*u**2 + 2*u + 6. What is the remainder when 207 is divided by z(-4)?
27
Let f(y) = 16*y - 32. Calculate the remainder when f(6) is divided by 18.
10
Let r = -59 - -112. Calculate the remainder when r is divided by 27.
26
Let u(r) = r**3 + 6*r**2 + 4. Let a be u(-6). Suppose a*f - 60 = -2*c, -110 = -5*f - 2*c - 34. Calculate the remainder when f is divided by 9.
7
Let v(l) = -l**3 + 9*l**2 + 13*l - 7. Let r be v(10). Suppose 3*f = 58 + r. Calculate the remainder when f is divided by 14.
13
Let n(r) = 21*r - 12. Let m be n(8). Suppose -m = -3*x - x. What is the remainder when x is divided by 20?
19
Let r(c) = 2*c. Let z be r(2). Suppose -5*k = 4*h - 50, z = 5*h + 29. What is the remainder when k is divided by 8?
6
Let c(l) = l**3 + l**2 + 3*l + 16. What is the remainder when 25 is divided by c(0)?
9
Let i(v) = 2*v**2 + 4*v - 4. Let x = 223 - 178. Calculate the remainder when x is divided by i(-4).
9
Suppose -l = -13 - 4. What is the remainder when (-4 - -1)*(-100)/6 is divided by l?
16
Let q be 28/(-3) - 1/(-3). Let a = -13 - q. What is the remainder when (a/(-3))/(4/60) is divided by 11?
9
Suppose -2*c + 113 = 11. Suppose c = -r + 4*r. Suppose -a + 5*y + 1 = -0, 5*y + 19 = 4*a. What is the remainder when r is divided by a?
5
Suppose 0*a = -4*a + 136. Suppose 0 = u + 4 + 4. Let m = u + 26. Calculate the remainder when a is divided by m.
16
Suppose 2*c + 3 = 1. Let f = c - -1. Let p(h) = -h + 12. What is the remainder when p(f) is divided by 7?
5
Let x be 12/(-48) - (-89)/4. Suppose 0 = -5*h + x - 2. Calculate the remainder when 11 is divided by h.
3
Let x = 22 + -19. Calculate the remainder when 5 is divided by x.
2
Let l = -60 - -86. Calculate the remainder when 39 is divided by l.
13
Suppose 3*r - 42 - 57 = 0. Calculate the remainder when 130 is divided by r.
31
What is the remainder when (-12)/9*((-356)/8 + -2) is divided by 17?
11
Let v(k) = -k**3 + 9*k**2 - 3*k - 10. Calculate the remainder when 57 is divided by v(8).
27
Let r(x) = 2*x**2 - 7*x - 9. Calculate the remainder when 37 is divided by r(6).
16
Calculate the remainder when 39 is divided by (-3)/9 + 100/12.
7
Let j(b) = b**2 + 2*b - 5. Let o be 3 + 0/(5 - 2). Suppose -o*y + 4 = -2*y - i, -i - 20 = -5*y. What is the remainder when j(y) is divided by 7?
5
Suppose -3*x = -w - 0*x + 44, -4*x = 20. Suppose -z - 3*o = 0, 0 = -o - 2*o - 15. What is the remainder when w is divided by z?
14
Let o = 170 + -121. Suppose 5*f - 5*d - 50 = 0, -4*f + 3*d + 25 = 4*d. Suppose s - 10 = f. Calculate the remainder when o is divided by s.
15
Let f(w) = -w**3 + 6*w**2 + 2*w - 3. Suppose -5*c = -17 - 13. Calculate the remainder when 17 is divided by f(c).
8
Suppose 5*n - 19 = 3*a, -5*a + n + 25 = 4*n. Calculate the remainder when 2 is divided by a.
0
Suppose -2*a - 47 = -3*i, 4*i + 3*a - a - 58 = 0. Calculate the remainder when 41 is divided by i.
11
Suppose 12 = -3*u, 3*v - 66 = u + 2*u. What is the remainder when 69 is divided by v?
15
What is the remainder when 25 is divided by -7 + 3 - (-8 - 14)?
7
Suppose b - 13 = -3. What is the remainder when 47 is divided by b?
7
Let u = 10 - -20. Suppose 0*p = -4*p - 56. Let q = p + 30. Calculate the remainder when u is divided by q.
14
What is the remainder when (-2080)/(-150) + (-4)/(-30) is divided by 10?
4
Let r(b) = -2*b + 2. Let u = -5 + 6. Suppose -s = u - 5. Calculate the remainder when r(-4) is divided by s.
2
Suppose w - 57 = -2*w. What is the remainder when w is divided by 11?
8
Let o(l) = 2*l**2 + 18*l + 8. What is the remainder when o(-9) is divided by 3?
2
Suppose 6*y = 5*o + 2*y - 164, -5*o + 3*y = -163. Let v = 53 - o. Let n(a) = 15*a + 7. Calculate the remainder when n(5) is divided by v.
19
Let y = 17 + -9. What is the remainder when 31 is divided by y?
7
Suppose -11*u = -17*u + 60. What is the remainder when 46 is divided by u?
6
Let j(b) = b**2 + 8*b - 16. Calculate the remainder when 66 is divided by j(-11).
15
Let f = -10 - -16. Calculate the remainder when (189/6)/(f/8) is divided by 15.
12
Let g = -12 + 43. Calculate the remainder when 123 is divided by g.
30
Let u(d) be the first derivative of 3*d**4/2 + d**3/3 - d**2/2 - 3. What is the remainder when 20 is divided by u(1)?
2
Let r = 106 + -98. What is the remainder when 20 is divided by r?
4
Let t = -24 - -37. Calculate the remainder when 51 is divided by t.
12
Let v(z) = 9*z**2 - 2*z - 1. Let a = 33 + -14. What is the remainder when a is divided by v(-1)?
9
Let z = 126 - 110. Calculate the remainder when 172 is divided by z.
12
Calculate the remainder when -2*(-3)/(-2)*1308/(-36) is divided by 10.
9
Suppose 2 + 22 = 8*x. Let n(v) = v**2 + 4*v - 1. What is the remainder when n(-5) is divided by x?
1
Suppose 3 = 2*r + 3*p - 71, -5*r + 135 = -5*p. Calculate the remainder when r is divided by 16.
15
Let l(h) be the second derivative of -6*h**5/5 - h**4/12 + h**3/6 + h**2/2 - 2*h. Calculate the remainder when l(-1) is divided by 8.
7
Let g = -17 + 18. Calculate the remainder when 4 is divided by g.
0
Let o be 5 + -3 + -2 - -11. Suppose -4*w = 3*q - o, 0 = -3*q - 5*w + 2 + 5. What is the remainder when (-10 - 2)*(-4)/3 is divided by q?
7
Let r = 6 - 4. Suppose r*p = 4*t - 30, -2*t - 3*p + 29 = 10. Calculate the remainder when 15 is divided by t.
7
Let f(l) = -l**2 + 11*l + 7. Suppose 3*g - 7*g - 41 = -3*p, -55 = -5*p + 4*g. Calculate the remainder when f(p) is divided by 12.
11
Let z = 82 - 41. Let m = 26 + z. Let k = -510 - -533. What is the remainder when m is divided