
32
Let a(x) = 4*x + 11. Let b = -3 + 3. Suppose 3*z + 14 - 59 = b. Calculate the remainder when a(8) is divided by z.
13
Let p = 215 + -121. What is the remainder when (p/6)/(3/9) is divided by 12?
11
Let t(n) = 13*n**2 + 5*n - 14. Let v(x) = -6*x**2 - 3*x + 7. Let c(b) = -2*t(b) - 5*v(b). Calculate the remainder when c(-5) is divided by 23.
22
Suppose -280 = -4*h + 16. Calculate the remainder when h is divided by 19.
17
Let k = -3 - -12. Calculate the remainder when 17 is divided by k.
8
Let k = -36 + 56. Let j = 3 - -8. What is the remainder when k is divided by j?
9
Let f(k) = -k**2 + 6*k + 5. Calculate the remainder when 12 is divided by f(6).
2
Let i = 6 + 3. Let m = i - 1. Let t(w) = 6*w**2 - 1. What is the remainder when t(-2) is divided by m?
7
Let b(p) = p**2 - 5*p - 11. What is the remainder when b(7) is divided by (-2)/(-1)*-1 - -4?
1
Let a be (4/(-6) - -1)*-3. Suppose 0 = 2*i - 5*i + 21. Calculate the remainder when i is divided by a/(-4) - 60/(-16).
3
Calculate the remainder when 9 is divided by (-1 - 0)/(7/(-28)).
1
Let l(r) = -r**2 - 5*r + 6. Calculate the remainder when 17 is divided by l(-5).
5
Suppose -3*z - 9 = 3*w + 6, 4*w + 20 = 5*z. What is the remainder when 16 is divided by 0/(-3) + z + 6?
4
Let p(m) = m**3 + 4*m**2 - 7*m - 3. What is the remainder when ((-2)/((-4)/22))/1 is divided by p(-5)?
4
Suppose -4 = -0*d - 2*d. Let w(c) = 7*c**2 + c**3 - 2 + 0*c - 3 - c. Calculate the remainder when w(-7) is divided by d.
0
Let m = 439 - 303. Suppose -5*k - m - 79 = 0. Let l = -29 - k. Calculate the remainder when l is divided by 8.
6
Suppose -7*w + 5*w = -88. What is the remainder when w is divided by 12?
8
Let j be (-2424)/(-40) + 6/(-10). Suppose 0*g = g - 4*m - 33, -j = -5*g - m. What is the remainder when 37 is divided by g?
11
Suppose -2*s = -p - 9, -4*p = -3*s - 5*p + 1. Suppose -5*u + 14 + 40 = s*g, 3*g - 81 = -2*u. What is the remainder when g is divided by 7?
6
Let d(r) be the third derivative of -11*r**4/12 + r**2. Let l be d(1). What is the remainder when -1*(-2 + l - 2) is divided by 9?
8
Let o(x) = -8*x - 11. Calculate the remainder when 55 is divided by o(-4).
13
Let d(o) = -23*o + 5. Let p be d(-5). Suppose 4*j - p = -j. What is the remainder when j is divided by 9?
6
Suppose 0*k - 4*k + 4*f + 52 = 0, k + 4*f - 28 = 0. Calculate the remainder when k is divided by 10.
6
Let c = 0 - -8. Calculate the remainder when 15 + (-6)/(8 - 5) is divided by c.
5
Let j(m) = -1 - 2 + 2 + m. Let y = -3 + 5. What is the remainder when j(y) is divided by 1?
0
Let m(l) = -l**3 - 3*l**2 - 3*l + 4. Let c(b) = -b**2 - 5*b - 3. Let o be c(-5). Calculate the remainder when 25 is divided by m(o).
12
Suppose -2*q = 1 - 11. Suppose q*n = 36 - 6. Suppose -2*x - 8 = -4*x. What is the remainder when n is divided by x?
2
Suppose 5*n - 3*y = 30, 0*n - 5*n = -4*y - 25. Let s = 17 + n. What is the remainder when 103 is divided by s?
25
Let z = 24 + 29. What is the remainder when z is divided by 28?
25
Let a be (-3)/6*(0 - 0). Suppose 0*r - 2*r = a. Suppose z - 29 = -r*z - 5*w, 85 = 5*z - 5*w. What is the remainder when 36 is divided by z?
17
Let k(h) = 2*h**3 + 2*h**2 + 4*h - 7. Let x(r) = -4*r**3 - 4*r**2 - 7*r + 13. Let l(n) = 11*k(n) + 6*x(n). Calculate the remainder when l(-2) is divided by 2.
1
Suppose -z - z - 9 = f, -f - 7 = z. Let v be (8/(-10))/(z/55). Let a = 39 - v. Calculate the remainder when 32 is divided by a.
15
Let d = 285 + -167. Suppose 3*v - d = -5*t - v, 0 = 4*t - 4*v - 116. Calculate the remainder when t is divided by 9.
8
Suppose 4*w + a + 3 = 0, a + 2 + 0 = -3*w. Let s = 1 - 0. What is the remainder when 25 is divided by (-36)/(-4) - (w + s)?
7
Let a = 0 + -4. Let c = 1 - a. Suppose -4*u = c - 61. What is the remainder when 41 is divided by u?
13
Let y = 0 + 12. Let m(z) = z**2 + 7. Suppose -4*k - j = 3*j - 12, -2*j = k - 6. What is the remainder when y is divided by m(k)?
5
Suppose k - 6*k = -65. Let u(a) = 3*a - 3. Let m be u(13). Let g = -11 + m. Calculate the remainder when g is divided by k.
12
Suppose 3*i = -6, 5*i = 3*a + a - 154. Suppose -2*l = -2*t - l + 6, 0 = 4*t + 4*l - a. Calculate the remainder when 17 is divided by t.
2
Suppose -32 = -a - 2*s + 7*s, -72 = -5*a + 3*s. Calculate the remainder when 23 is divided by a.
11
Suppose 2*b = 4*u - 3*b - 27, 2*b + 15 = 3*u. Let q = 10 - u. What is the remainder when q is divided by 3?
1
Let z = 64 - 42. Suppose -5*s = v - 28, -3*s - 3*v + 9 = -3. What is the remainder when z is divided by s?
4
Let w be 12/(-8)*(-1 - 11). What is the remainder when 45 is divided by (20/(-15))/((-2)/w)?
9
What is the remainder when (1 + 7)/(2/22) is divided by 30?
28
Suppose 3*v - 24 = 4*r + 51, v + 5*r = 44. Suppose t - 24 = -3*t. Suppose o - t*o + 50 = 0. Calculate the remainder when v is divided by o.
9
Let t(j) = -3*j. What is the remainder when 53 is divided by t(-6)?
17
Let w = -14 + 51. Calculate the remainder when w is divided by 6/((-12)/(-20) + 0).
7
Suppose -9*q = -8*q - 4. Suppose -2*n - 18 = -q*a + 32, -5*n - 5 = 0. Calculate the remainder when 34 is divided by a.
10
Suppose 5*c = 20, 5*c + 0*c - 26 = -i. What is the remainder when 21 is divided by i?
3
Calculate the remainder when 14 is divided by (-6)/(-15)*(18 + 2).
6
Let p(j) = j**3 + 6*j**2 - 19*j - 11. What is the remainder when 21 is divided by p(-8)?
8
Let k = -34 - -63. Calculate the remainder when k is divided by 10.
9
Let t(g) = 8*g - 55. Calculate the remainder when 34 is divided by t(8).
7
Let i(m) = -2*m**2 + 15*m. What is the remainder when (-15 + 3)*(0 - 1) is divided by i(7)?
5
Let a = 40 + -57. Let k = 8 + a. Let j = -5 - k. Calculate the remainder when 7 is divided by j.
3
Let f(v) = -2*v + 1. Let m(i) = i. Let q(x) = -f(x) - 5*m(x). Let u = -6 - -20. Calculate the remainder when u is divided by q(-2).
4
Let p = 21 + -18. Suppose 2*f + p*f = 45. Calculate the remainder when 16 is divided by f.
7
Let w(u) = u**3 - 2*u**2 - 2. Let j be w(2). Let g = 4 + j. Let q(k) = k**2 + 7*k + 5. Calculate the remainder when q(-7) is divided by g.
1
Let z(p) = -p**3 + 8*p**2 - 7*p + 6. Let r be z(7). Let q(a) = a**2 - 4*a - 7. Calculate the remainder when 17 is divided by q(r).
2
Suppose -3*n = 2*s - 0*n - 27, 5*s + 3*n = 90. What is the remainder when s is divided by 14?
7
Let d(l) = -5*l - 7. Let v be d(4). Calculate the remainder when 46 is divided by 568/36 - 6/v.
14
Let t(z) = 3*z + 5. Let b be t(5). Suppose -3*v = l + 3*l - 217, 0 = 4*l + b. Let h = v + -56. Calculate the remainder when h is divided by 12.
11
Let q(p) = 3*p + 1. Let i be q(-2). Suppose -4*t + 11 = 4*l - 17, -l + 2*t - 8 = 0. What is the remainder when (15/(-6))/i*10 is divided by l?
1
What is the remainder when 1/(-4 - 29/(-7)) is divided by 4?
3
Let g(b) = -3*b**3 - 11*b**2 - 22*b + 4. Let n(f) = -2*f**3 - 7*f**2 - 15*f + 3. Let q(a) = -5*g(a) + 7*n(a). What is the remainder when q(-4) is divided by 4?
1
What is the remainder when (-3 + -91)/(-2 + 0) is divided by 16?
15
Suppose -4*u + 17 = -11. Suppose x + 3*x - u = z, -z + 17 = 2*x. Let l = z + 8. Calculate the remainder when 49 is divided by l.
15
Suppose -6*g + 140 + 106 = 0. What is the remainder when g is divided by 15?
11
What is the remainder when 9 is divided by ((-8)/(-5))/((-18)/(-90))?
1
Let q = -62 - -88. Calculate the remainder when q is divided by 37/4 + 2/(-8).
8
Let i(g) = g**3 + 6*g**2 + 4*g + 5. Let a be i(-4). Let u = a + -4. Let x = -147 - -214. Calculate the remainder when x is divided by u.
16
Let q(f) = -f**2 + 16. Calculate the remainder when 18 is divided by q(3).
4
Suppose -4*v + 69 = -n, 2*v + 4*n + 2 = 14. What is the remainder when v is divided by ((-24)/(-14))/(2/7)?
4
Let j(t) = t + 7. Let n be j(-4). Let c(o) = o + 4. Let g be c(4). Suppose 23 = n*a + g. Calculate the remainder when a is divided by 3.
2
Let t(n) = n**3 + 6*n**2 + 3*n + 5. Calculate the remainder when 74 is divided by t(-4).
24
Suppose -u + 4*u + 18 = -3*v, 3*u = 3*v + 6. Let d = u - -7. Suppose 10*y - 55 = d*y. Calculate the remainder when 20 is divided by y.
9
Let x(z) = z**3 - z**2 + z - 1. Let c(u) = -6*u**3 + 5*u**2 - 4*u - 16. Let s(b) = -c(b) - 5*x(b). Calculate the remainder when s(0) is divided by 6.
3
Suppose 5*l - 8 = 2*m, 1 - 9 = -4*l. Calculate the remainder when 20 - ((-4)/m - -3)