he remainder when 23 is divided by c?
7
Suppose -x - 3*o + 30 = 0, -x + 4*o - 2*o + 5 = 0. What is the remainder when 29 is divided by x?
14
Let c = 24 + -17. Calculate the remainder when 13 is divided by c.
6
Let s(f) = f + 7. Let l be s(-4). Suppose -m + 2*t - 25 = -106, -l*m + 2*t + 263 = 0. Let r = m + -36. What is the remainder when r is divided by 14?
13
Let b = 7 + 2. Let k = 13 - 18. Let n = b + k. Calculate the remainder when n is divided by 2.
0
Suppose 90 = -2*m + 7*m. Let n(q) = q**3 - q**2 + q + 4. Let w be n(0). Suppose w*l - 70 = 70. Calculate the remainder when l is divided by m.
17
Suppose -y + 2*b = -b - 33, -2*y - 4*b = -16. Suppose -x + y = x. What is the remainder when x is divided by 3?
0
Suppose -4*i + 0*i = -3*x - 52, 4*x - 2*i + 66 = 0. Let y = x + 25. What is the remainder when 25 is divided by y?
7
What is the remainder when (-2480)/(-24) + 4/6 is divided by 21?
20
Suppose 3*j = -11 + 179. Let w = -24 - 6. Let i = w + j. What is the remainder when i is divided by 9?
8
Let j = 18 + -13. Suppose -j*r = -5*a + 95, a - 36 = -a + r. Calculate the remainder when a is divided by 9.
8
Suppose 80 = 5*j - 50. What is the remainder when j is divided by 14?
12
Let c(g) = 52*g**3 - 2*g + 1. Suppose 2*y - 6 = 2*j, 3*y + 3*j = -2*y - 1. What is the remainder when c(y) is divided by 27?
24
Suppose -4*u + 5*q = -19, 4*u + 2 = 3*q - 5*q. Suppose -u = -4*a + 23. Suppose -3*k = p - 42, k - p = -a*p + 28. What is the remainder when 24 is divided by k?
11
Let a(n) = 2*n - 2. Suppose 30 + 0 = 5*m. What is the remainder when 19 is divided by a(m)?
9
Let f(x) = -19*x - 3. Let w be f(-2). Let y(r) = -r**3 - 4*r**2 - 4*r + 5. Let s be y(-4). Let g = w - s. Calculate the remainder when 26 is divided by g.
12
What is the remainder when 35 is divided by (13/3 - 4)*(60 - -3)?
14
Suppose -4 = 4*y, -4*u - u - y + 84 = 0. Calculate the remainder when u is divided by (-120)/(-14) - 18/(-42).
8
Suppose -2 - 4 = 2*x. Let o = 18 - x. What is the remainder when o is divided by 11?
10
Let h(y) = -y + 9. Let s be h(0). Let f(v) = -v**2 + 2*v + 1. Let g be f(3). Let z = g + s. What is the remainder when 19 is divided by z?
5
Let a = 507 - 191. What is the remainder when a is divided by 29?
26
Let p = 29 - 47. Let k = -13 - p. Suppose 3*o - 10 - 13 = k*w, -5*o + 31 = -w. Calculate the remainder when o is divided by 4.
2
Let w be (4 + 20)*5/2. Suppose -3*a = -0*a - w. Calculate the remainder when 79 is divided by a.
19
Suppose -5*z = -4*z - 5. Suppose -q + z*o + 42 = 0, -2*o + 6 + 22 = q. Calculate the remainder when q is divided by 12.
8
Let x = 24 - -103. Suppose 34 = -3*z + x. Calculate the remainder when z is divided by 16.
15
Suppose 3*d = 2*d + 32. Let m(a) = 0 + 12 - 4*a - 3 + 9*a**2 - 3*a - a**3. Calculate the remainder when d is divided by m(8).
15
What is the remainder when 47 is divided by 4/22 - (-2088)/132?
15
Let f = 49 - 31. Let c = 26 - f. Let m(y) = -y**3 + 7*y**2 + 10*y + 10. What is the remainder when m(c) is divided by 7?
5
Let c(k) = k**3 + 7*k**2 + 5*k + 2. What is the remainder when 29 is divided by c(-6)?
5
Suppose 4*l - 85 - 627 = 0. Calculate the remainder when l is divided by 20.
18
Let c = 94 - 44. Let d be 0 - -2 - 27*1. Let o = d + c. What is the remainder when o is divided by 9?
7
Let y(l) = l**2 + 2*l - 10. Suppose 4*m + 13 = -15. Calculate the remainder when 48 is divided by y(m).
23
What is the remainder when 30 is divided by (-4)/((-16)/44) - 0?
8
Let a = -16 + 65. What is the remainder when 195 is divided by a?
48
Suppose z = -5*k + 13 - 0, 5*k - 10 = 0. Suppose -79 = -4*t - z*s, -3*s = -0*s - 15. What is the remainder when 29 is divided by t?
13
Suppose 3*u = 3, 2 = -2*m + 5*u + 1. Suppose -22 = -m*v + v. Calculate the remainder when 85 is divided by v.
19
Let p = -424 + 610. Calculate the remainder when p is divided by 63.
60
Suppose 5 + 47 = 2*a. Suppose -a = -y - 2*x + 5, 0 = -3*y + 5*x + 38. Let v = 25 + 15. Calculate the remainder when v is divided by y.
19
What is the remainder when 45 is divided by (9/12 + 0)/((-8)/(-128))?
9
Suppose 0*t + 3*p + 12 = 5*t, 4*t - 17 = -5*p. Suppose 0 = -3*x + 5*n + 49 + t, -n = -1. What is the remainder when x is divided by 11?
8
Suppose -2*d + 8 = -t + 3*t, -t = -3*d. Let b(f) = f**3 - 2*f**2 + 2. Calculate the remainder when (-4)/18 - 2320/(-72) is divided by b(t).
10
Let t be (-2)/6*0/5. Calculate the remainder when t + 0 + 1*21 is divided by 8.
5
Suppose -5*d + 3*d = -10. Let m(t) = -6 + d*t - 9 + 8. Calculate the remainder when 67 is divided by m(6).
21
Let t(u) = u**3 - 8*u**2 - u + 10. Let v = 5 + 3. Let b be t(v). Calculate the remainder when 210/8 - b/8 is divided by 7.
5
Suppose 0 = -3*l - 19 + 61. Calculate the remainder when 66 is divided by l.
10
Suppose d - 5*o - 70 = -4*d, 2*d + 5*o = 42. Let s = d + -6. Suppose 0 = y + 5*k - 26, -y = 5*k - 4*k - 10. What is the remainder when s is divided by y?
4
Let m(h) = -4 + 2*h + h + 27*h**2 - h + 5. What is the remainder when m(-1) is divided by 9?
8
Suppose 20*h - h = 3838. What is the remainder when h is divided by 52?
46
Let b(v) = v**3 - 3*v**2 - v + 7. Let f(o) = o**3 - 17*o**2 - 17*o. What is the remainder when b(5) is divided by f(18)?
16
Let j(t) = t**3 - t**2 - t + 2. Let s be (0/1 + -2)/(-2). Calculate the remainder when 1 is divided by j(s).
0
Suppose 4*g = -0*g + 1288. What is the remainder when g is divided by 36?
34
Let k = -5 - -43. What is the remainder when k is divided by 13?
12
Let z = 18 + -12. Calculate the remainder when 23 is divided by z.
5
Let x(s) be the first derivative of s**3/3 - 5*s**2 - 12*s - 1. Calculate the remainder when 22 is divided by x(12).
10
Suppose -2*w + 40 = -w. Let l be ((-4)/8)/(2/(-120)). Let b = -16 + l. Calculate the remainder when w is divided by b.
12
Suppose -3*k - 2*k = 4*q - 61, -4*k - 2*q + 50 = 0. What is the remainder when k is divided by 7?
6
Suppose 0 = -4*f + 215 - 19. What is the remainder when f is divided by 17?
15
Let i(x) = 7*x - 6. Let h(k) = -k**2 - 15*k + 13. Let b(w) = -3*h(w) - 7*i(w). What is the remainder when b(3) is divided by 5?
3
Let k be (-1)/(-5) - (-92)/(-10). Let v(j) = j**3 + 8*j**2 - 14*j - 9. Let u be v(k). Suppose u = 2*f - 74. What is the remainder when f is divided by 14?
13
Suppose 0 = -2*c + 6. Let z be 4/(-5)*(-5)/2. Calculate the remainder when (4/(-3) + z)*6 is divided by c.
1
Let s be (20/(-16))/(1/4). Let p = s + 8. Suppose -p*u + 26 = -34. Calculate the remainder when u is divided by 11.
9
Let b = 52 - 26. What is the remainder when 45 is divided by b?
19
Suppose 4*w - 4*u + 3*u - 46 = 0, 66 = 5*w + 3*u. What is the remainder when 19 is divided by w?
7
Suppose 4*v = 206 - 62. What is the remainder when v is divided by 8?
4
Let d = 15 + -8. What is the remainder when 27 is divided by d?
6
Let v be 5 - 1 - (-8)/(-4). Suppose -4*a = -0*c - v*c + 56, -5*a - 37 = -c. Calculate the remainder when c is divided by 8.
6
Calculate the remainder when 13 - (2 - (2 - 0)) is divided by 4.
1
Suppose 3*b = 6, 2*f = 3*f - 2*b - 3. Suppose -6*x + 3*x = 6. What is the remainder when f is divided by ((-3)/(-3))/(x/(-8))?
3
Let x = -14 + 25. What is the remainder when 11 is divided by x?
0
Let h = 3 - 4. Let t be h*(-2 + 0) - -69. Suppose -5*b = u - 79, 5*b + 0*b - t = u. Calculate the remainder when 43 is divided by b.
13
Let l = 32 + -17. Suppose -5*c + l = -0*c. Suppose -c*o = -o - 60. Calculate the remainder when o is divided by 16.
14
Suppose 0 = 16*t - 5*t - 88. Calculate the remainder when 53 is divided by t.
5
Suppose p + 0*p - 1 = 0. Let n be (-1*(p + 2))/(-1). Suppose t + n = 7. Calculate the remainder when t is divided by 2.
0
Let z = 3 + 0. Let y = -1 + z. Suppose 2*q - 6*q = -y*o - 30, 0 = -5*q + 3*o + 40. What is the remainder when 9 is divided by q?
4
Suppose 2*p - 4*t = 14, p + 3*p - 24 = 4*t. Calculate the remainder when 18 is divided by p.
3
Let z(f) = f**3 + 10*f**2 - 13*f - 11. What is the remainder when 32 is divided by z(-11)?
10
Suppose -3*c + 0*o + 3*o + 33 = 0, 16 = 2*c - 5*o. What is the remainder when c is divided by 5?
3
Calculate the remainder when 34 is divided by 92/5 + (-48)/120.
16
Let u(k) be the first derivative of -k**4/4 - 10*k**3/3 - 11*k**2/2 - 4*k - 2. Calculate the remainder when u(-9) is divided by 5.
4
Suppose -