 + 12 = -5*z. Calculate the remainder when s(4) is divided by z.
2
Suppose i = 5*i + 4*x - 16, 20 = 5*i - x. Suppose -p + i = p. Calculate the remainder when 1 - 2/(-1)*p is divided by 4.
1
Let t(y) = y**2 + y + 3. What is the remainder when 17 is divided by t(0)?
2
Let m = -8 + 22. Calculate the remainder when 22 is divided by -2 + m + 0/(-1).
10
Let d(k) = -k**2 - 8*k - 2. Calculate the remainder when 17 is divided by d(-6).
7
Let i(c) = 7*c**2 - 3*c - 8. Let g(f) = -6*f**2 + 2*f + 7. Let s(w) = -6*g(w) - 5*i(w). Suppose 15 = j - 14. Calculate the remainder when j is divided by s(-6).
13
Let c(u) = -u**3 + 7*u**2 + 2*u - 3. Let w(p) be the third derivative of -p**4/12 + 7*p**3/3 + 5*p**2. Calculate the remainder when c(4) is divided by w(0).
11
Let g(x) = x**2 - 25*x + 29. What is the remainder when 58 is divided by g(24)?
3
Suppose 5*y + q = 153, q = -3*y + 6*q + 75. What is the remainder when 17 is divided by (1/3)/(1/y)?
7
Suppose 4*f - 36 = 4*c, 5*c - 3 = 3*f - 6*f. What is the remainder when 18 is divided by f?
0
Let p = 17 + -14. Let s(n) = 2*n + n + 1 + 2. Calculate the remainder when 35 is divided by s(p).
11
Calculate the remainder when 4 is divided by (-1 + -3 - -5)/1.
0
Suppose 0*o = -5*o - 5. What is the remainder when 40 - (0 + 0/2) is divided by (-14)/o + (-1 - -1)?
12
Suppose -2*i = -i - 4*w - 45, -4*i + w = -105. Calculate the remainder when i is divided by 13.
12
Calculate the remainder when 2 + 136 - (2 - 2 - -1) is divided by 28.
25
Let g(k) = k**3 - 2*k**2 - 2*k. Let h be g(3). Let z(i) = i**3 - 3*i**2 + i - 2. Calculate the remainder when ((-4)/6)/((-24)/36) is divided by z(h).
0
Suppose -5*r + 44 = -111. Let a(n) = n**2 - 3*n - 2. What is the remainder when r is divided by a(6)?
15
Let s(t) be the second derivative of t**4/12 + 4*t**3/3 + 13*t**2/2 + 2*t. Calculate the remainder when s(-9) is divided by 12.
10
Suppose -3*m + 0*m = -57. What is the remainder when 36 is divided by m?
17
Suppose 4*w - 6*w = -52. Calculate the remainder when w is divided by 7.
5
What is the remainder when 162 is divided by 32/176 - (-460)/11?
36
Suppose 3*h - o = -3*o + 2, o = 3*h - 17. Let r = 0 - 5. Let x = 7 + r. What is the remainder when h is divided by x?
0
Let q(d) = d**2 + 4*d - 12. Calculate the remainder when q(6) is divided by 17.
14
Let y = 65 + -23. What is the remainder when y is divided by 9?
6
Let d = -4 + 6. Suppose d*h + 29 = -4*r - 13, 0 = -r - h - 13. What is the remainder when -22*1*r/4 is divided by 15?
14
Suppose 24 = -6*y - 0. Calculate the remainder when 21 is divided by (-45)/(-6) + (-2)/y.
5
Let j = -6 + 11. Suppose -4*x - 3*w = -x - 21, 4*w = j*x + 1. What is the remainder when (4 - x)/((-2)/(-50)) is divided by 9?
7
Suppose 0 = -j + 5*j. Suppose b + 4*p = -0*b - 21, -3*p - 12 = j. Calculate the remainder when ((-12)/b)/(6/40) is divided by 6.
4
Suppose 0 = -5*r - 10 - 35. Let j(w) = -w**2 - 10*w + 9. Let o be j(r). Suppose -k = -o - 4. Calculate the remainder when 43 is divided by k.
21
Let g be (-600)/(-42) - (-2)/(-7). Suppose -3*c + 4 = c + 4*y, c + 4*y + g = 0. Calculate the remainder when 17 is divided by c.
5
Let o(a) = 11*a**2 + 4*a + 1. What is the remainder when o(-3) is divided by 30?
28
Let b(z) = z. Let g(j) = 4*j + 1. Let x(p) = -15*b(p) + 3*g(p). Calculate the remainder when x(-4) is divided by 8.
7
Suppose 6*t = 5*t + 2. Let a(l) = -l**3 + l**2 + l + 7. Calculate the remainder when a(0) is divided by t.
1
Suppose 2*j - 10 = 5*h + 4, 3*h = -5*j + 4. Let l = -2 + h. Let k = -2 - l. Calculate the remainder when 2 is divided by k.
0
Let x(f) = 32*f - 6. Let q be x(4). Suppose -3*c - 9 = 0, -5*k + k = -2*c - q. Suppose 5*l - 21 = 29. What is the remainder when k is divided by l?
9
Suppose 4*b - 5*x + 215 = 0, 4*x + 58 = -b + x. Let z = -20 - b. Calculate the remainder when z is divided by 12.
11
Let x(o) = o**3 - 6*o**2 + 9*o - 12. Calculate the remainder when 29 is divided by x(5).
5
Suppose 2*h + 89 = 3*o - 68, 5*o = -h + 266. Let y = -60 - -78. What is the remainder when o is divided by y?
17
Suppose 2*d + 322 = 3*i, -6*i + 448 = -2*i + 2*d. Calculate the remainder when (-2 - i)/(-4) - -1 is divided by 10.
9
What is the remainder when (-32)/24*(1 - 4) is divided by 1?
0
Let n(w) = 28*w**2 - 1. Suppose a = 2*a - 28. Suppose -a = y - 3*y. What is the remainder when n(-1) is divided by y?
13
Let z(r) = r + 2. Let i(p) = -p**2 - 3*p - 2. Let b be i(-3). Let g = 2 - b. What is the remainder when g is divided by z(0)?
0
Suppose -3*g - 14 = -4*g + n, -g - 3*n = -14. What is the remainder when 25 is divided by g?
11
Let w = -1 - -3. Let a = 6 - w. Calculate the remainder when a is divided by (-24)/(-8) + (-1 - -1).
1
Let x be 0*((-9)/(-6))/(-3). Let b = x + 10. Calculate the remainder when 17 is divided by b.
7
Calculate the remainder when 4*3*3/2 is divided by 11.
7
Let g be 1/(3 + 206/(-69)). Let c = -31 + g. Suppose 4*t = 2*t + c. What is the remainder when t is divided by 7?
5
Suppose 2 = -7*b + 37. What is the remainder when 9 is divided by b?
4
Let h = -6 + 8. Let n(l) = -4*l**h + 0*l**2 + l**3 - l**2 + 4. What is the remainder when 10 is divided by n(5)?
2
Let l be (6/(-4))/(2/(-20)). Suppose -2*p = 3*p - l. Suppose 10 = p*m - 23. What is the remainder when 20 is divided by m?
9
Let f = -51 + 76. Let z = f + -9. Suppose y - k = 25, -4*y + 115 = -y + 5*k. Calculate the remainder when y is divided by z.
14
Suppose -m + 0*m + 2 = 0. Suppose k = -m*k + 15, 4*n - 103 = -3*k. Suppose 5*w + r = 4*r + 46, 5*r - 22 = -4*w. Calculate the remainder when n is divided by w.
6
Let o be (-70)/(-20)*3*8. Suppose b + b = w + o, 2*w - 176 = -4*b. What is the remainder when b is divided by 15?
13
Suppose c + 1 = 5. Suppose -3*t - c*b + 208 = 0, t + 0*t - b = 60. Let a = -25 + t. What is the remainder when a is divided by 20?
19
Suppose 5*p + 0*p + 5*a = 20, -2*p + 2 = -4*a. Suppose -p*c + 16 = c. Suppose -55 = q - 6*q. Calculate the remainder when q is divided by c.
3
Let f = 38 + -28. Let a be (-1)/(-2)*(-1 - 1). Calculate the remainder when a + -2 + 4 + 17 is divided by f.
8
Let y = -18 - -10. Let m(j) = -j**3 - 7*j**2 + 8*j + 4. Let q be m(y). Suppose q*v = 184 - 0. What is the remainder when v is divided by 16?
14
Let q = 7 + -9. Let d = 41 - q. What is the remainder when d is divided by 15?
13
Suppose -8*h = -2*h - 36. What is the remainder when 29 is divided by h?
5
Suppose 2*j = 4*j - 16. Suppose -29 = -3*a - j. Let b = 14 - a. Calculate the remainder when 12 is divided by b.
5
Suppose -6*o + o - 101 = -4*s, 5*s + 2*o = 151. Let z(w) = -3*w - 14. What is the remainder when s is divided by z(-8)?
9
Let d = -158 - -165. Suppose 5*z = -2*v + 37, 3*z + 35 = v - 0. Calculate the remainder when v is divided by d.
5
Let p = 137 + -77. Suppose -2*q + 0*q + p = 0. Calculate the remainder when q is divided by 11.
8
Let f(v) = v + 2. Let z be f(-5). Let c = -35 + 50. Calculate the remainder when (z - -3 - 27)/(-1) is divided by c.
12
Suppose 0 = 3*l + r - 41, r = -r + 10. Calculate the remainder when l is divided by 8.
4
Suppose 5*g - 6 = 9. Suppose g*c - 30 = 27. What is the remainder when c is divided by 4/(-3)*30/(-4)?
9
Let x = -3 + -1. Let d(h) = -h**2 - 5*h + 2. What is the remainder when d(x) is divided by 4?
2
Suppose -g - 709 = -2*g. Suppose 159 = -5*s + g. Suppose -6*z + z + s = 0. Calculate the remainder when z is divided by 8.
6
Suppose -4*g = -3*s + 14, -s = 5*g - 2*g - 9. Suppose 0 = w - 4*n - 18, 10 = 2*w + w - n. Calculate the remainder when s is divided by w.
0
Suppose -18*i = -60 - 390. Suppose 194 = 4*r - 2*v, -r - 2*r + 145 = -2*v. Calculate the remainder when r is divided by i.
24
Suppose -2*s - 120 = -3*f - s, 3*f + s = 120. Suppose 4*r = -4*y - r + f, 5*y = r + 21. Calculate the remainder when 14 is divided by y.
4
Let u(c) = -3*c - 5. Let d(z) = 4*z + 3. Let y be d(-2). Let n(g) = -g + 6. Calculate the remainder when u(-8) is divided by n(y).
8
Let z(p) = p**3 - p**2 + 3*p - 10. Calculate the remainder when 65 is divided by z(3).
14
Suppose -2*t + 38 = 4*r, 22 = 2*t - 3*r - r. Let y = -8 + t. What is the remainder when y is divided by 4?
3
Let d = 76 + -45. Calculate the remainder when d is divided by 8.
7
What is the remainder when 31 is divided by (-4)/(16/(-4)) + 15?
15
Suppose -2*q - 2 = -4