What is the remainder when p(6) is divided by 15?
14
Suppose -2*q - 8 = 10. Let n be 3/(q/6) + 42. Suppose 9 = -2*y - k + 35, n = 3*y + k. What is the remainder when 40 is divided by y?
12
Suppose -4*z = 2*v - 8, 0 = -2*v - z + 3*z + 38. Let g(p) = 2*p**2 + 7*p + 4. Let j = 0 + -4. Calculate the remainder when v is divided by g(j).
6
Let b be (-16)/56 + (-5)/7. Calculate the remainder when b/(-2)*(24 - -4) is divided by 5.
4
Let g(v) = -v**2 + 13*v - 32. Calculate the remainder when 127 is divided by g(8).
7
Let w = 64 + -44. Let i(a) = 20*a - 2. What is the remainder when i(2) is divided by w?
18
Calculate the remainder when -4 + (-620)/(-16) - (-2)/8 is divided by 6.
5
What is the remainder when 3*15*4/12 is divided by 3?
0
Suppose -3*z = -2*z - 5*a - 89, 2*a = -10. What is the remainder when z is divided by 13?
12
Let q = 7 + 2. What is the remainder when q is divided by -6*1*(-3)/6?
0
Let m = -10 + 16. Let o = -18 + 35. Calculate the remainder when o is divided by m.
5
Let v = -7 - -13. Suppose t - 3*t = v, -2*w - 5*t = -29. Calculate the remainder when 42 is divided by w.
20
What is the remainder when 33 is divided by (20/(-30))/(4/(-102))?
16
Suppose 0 = 5*j + 3 + 7. Calculate the remainder when 18 is divided by (j - 1)*(-20)/6.
8
Let v(r) = 8*r - 4. Suppose 0*y = 3*j + 2*y - 66, -4*j = -y - 77. Suppose -j = -2*q - 3*q. Calculate the remainder when v(q) is divided by 10.
8
Let f = 10 - 16. Let x = f + 13. Calculate the remainder when ((-6)/(-3) + -3)*-18 is divided by x.
4
Suppose n + 2 = 4*s, 4*n + n + 33 = -3*s. Let d be (-2)/(n/117)*1. Suppose -2*h = -d - 33. What is the remainder when h is divided by 13?
10
Let s = -47 - -78. Suppose i + 2*i = c - 23, -4*c + 4*i = -52. Calculate the remainder when s is divided by c.
7
What is the remainder when 58 is divided by 15*((-2)/1 - (-32)/12)?
8
Let d = -21 + 42. What is the remainder when d is divided by 12?
9
Let j = 8 - 6. Suppose 0*y - 3*t + 8 = j*y, 3*y = -t + 12. Calculate the remainder when 11 is divided by y.
3
Let u(k) = -2*k + 25. What is the remainder when 54 is divided by u(7)?
10
Let d = -5 + 14. What is the remainder when d is divided by 5?
4
What is the remainder when 53 is divided by (-352)/(-20) - (-2)/5?
17
Let s(r) = -2*r**3 + r + 1. Let g be s(-1). Suppose 5*c - 42 = g*c. Suppose 0 = 4*d - c - 42. What is the remainder when d is divided by 8?
6
Suppose 236 = 4*v - 2*b - 2*b, -4*v = 3*b - 201. Let c = 1 - -13. What is the remainder when v is divided by c?
12
Let z be 68/(-10) + 2/(-10). Let c = 12 + z. Calculate the remainder when 13 is divided by c.
3
Suppose -4*s = -3*q - 8, 11*q - 23 = 9*q - 3*s. Calculate the remainder when 30 is divided by q.
2
Let w(i) = 15*i**2 + i. Let r be w(-1). Suppose -r = -c - 2. Let t = c - 5. What is the remainder when 20 is divided by t?
6
Let y(c) = -c**3 - 1 - 5*c - 5*c - 5*c**2 + c + 12*c. Calculate the remainder when y(-6) is divided by 6.
5
Suppose 3*b - 5*q + 35 = 0, 22 = -2*b - 0*b + 2*q. What is the remainder when (-3)/5 + (-556)/b is divided by 19?
17
Let g(f) = -f + 18. Calculate the remainder when 16 is divided by g(12).
4
Suppose -2*z - 2*t = -8, -3*z - 3 + 15 = -3*t. What is the remainder when 7 is divided by z/(-2) - (-7 - -2)?
1
Let i = -7 - -11. Let r be (-3 - 0)/(i/(-4)). Calculate the remainder when 18 is divided by 5*(0 + -1 + r).
8
What is the remainder when 79 is divided by (10/(-4) - -1)/((-1)/14)?
16
Suppose 5 + 1 = 2*u. Let l(z) = -z + 3. What is the remainder when u is divided by l(2)?
0
Calculate the remainder when 90 is divided by (46/(-6))/((-2)/6).
21
Let z = 25 + -9. Let n be 1*(-16 - 3)*1. What is the remainder when z is divided by 13/2 - n/(-38)?
4
Suppose -z = -6 + 5. Suppose -j = -2 - z. Suppose -j*x = 2*x - 150. Calculate the remainder when x is divided by 16.
14
Let m(n) = -n**3 + 9*n**2 + 4*n + 10. What is the remainder when m(9) is divided by 12?
10
Suppose 0 = 3*m - 2*m - 15. Let d = -60 + 102. Calculate the remainder when d is divided by m.
12
Let b = -30 - -117. Calculate the remainder when b is divided by 30.
27
Suppose 3*z + 233 = -5*d - 0*z, -4*z = 4*d + 188. Let v = 18 - d. Calculate the remainder when v is divided by 22.
20
Suppose 4*j - 28 = 4. Suppose -4 = -3*l + j. Suppose -u + l*z = 3*u - 36, u - 2*z = 8. What is the remainder when 27 is divided by u?
7
Suppose -4*j - 88 = -0*j. Let u = -10 - j. Let s = -22 + 57. What is the remainder when s is divided by u?
11
Let u = -110 + 258. Suppose 5*z = z + u. What is the remainder when z is divided by 13?
11
Let g(c) = -c**2 + 7*c - 6. Let q be g(6). Let w(v) = -v**3 + v**2 - v + 2. Let a be w(q). Suppose 73 + 33 = a*o. What is the remainder when o is divided by 18?
17
Let b(d) = 1. Let s(v) = v**2 + 4*v - 1. Let k(t) = -3*b(t) - s(t). Let a be k(-4). Calculate the remainder when 29 is divided by 14 + (-3)/(a - 1).
14
Let q = 12 + -7. Suppose 25 = -q*w, -w + 0*w + 140 = 5*n. What is the remainder when n is divided by 16?
13
Let y(k) = 3*k**2 + 2*k - 2. Calculate the remainder when 54 is divided by y(-3).
16
Let o = -6 - -9. What is the remainder when 41 - (2/1 - o) is divided by (-177)/(-15) - (-8)/(-10)?
9
Let w = -22 + 83. Suppose -5*p - c + w = -3*c, c = -2*p + 19. Calculate the remainder when p is divided by 6.
5
Calculate the remainder when 31 is divided by 4/16*3*24.
13
Suppose 3*n - c - 64 = 0, 0 = -4*n + 2*n - 3*c + 50. Let l = n + -5. Let d = 4 + 5. Calculate the remainder when l is divided by d.
8
Let a = 12 + -1. Let u(p) = p**3 + 9*p**2 + 12*p - 4. What is the remainder when u(-6) is divided by a?
10
Let n = 57 + -26. What is the remainder when n is divided by 8?
7
Let s = 40 + -36. Let b(t) = t**3 - 3*t**2 - 4*t + 2. Let o be b(4). Suppose 0 = 2*f - o*c - 6, -13 = f - 4*c - c. What is the remainder when f is divided by s?
3
What is the remainder when (-2)/(-3) - 345/(-9) is divided by 14?
11
Let f be 2/(-3)*(-7 + 1). Suppose 0 = -2*y + 4, f*g + 2*y = -2*y + 52. Calculate the remainder when 31 is divided by g.
9
Suppose -4*f - 5 + 13 = 0. Calculate the remainder when ((-4)/f - -1)*-53 is divided by 14.
11
Suppose -20 - 32 = d + w, -4*d - 208 = -4*w. Let v = -32 - d. What is the remainder when v is divided by 11?
9
Suppose -13*q + 2035 = -2*q. Calculate the remainder when q is divided by 31.
30
Suppose 3*p + u - 3*u = 213, -142 = -2*p - 2*u. What is the remainder when p is divided by 24?
23
Let g(p) = -p**3 + 7*p**2 + 2*p - 9. Let i be g(7). Suppose y - i*w + 3 = -w, 6 = y + 5*w. Suppose 28 = 3*f + y. What is the remainder when 35 is divided by f?
8
Suppose 5 = 4*n - 3. Suppose 82 = 3*v + 2*t, 6*v - 3*t - 98 = n*v. Calculate the remainder when v is divided by 14.
12
Let l = 55 - 52. Calculate the remainder when l is divided by 3.
0
Let k be (-1)/((-2)/4) + -2. Suppose k = 3*s - 8*s + 90. What is the remainder when 35 is divided by s?
17
Suppose u + 3*y + 13 = -0*y, -3*y = -4*u + 23. Let z = u + 16. Let r(v) = -6*v + 4. What is the remainder when r(-8) is divided by z?
16
Suppose -3*f - m + 38 = -2*m, f - 5*m - 8 = 0. Let w = 53 - f. What is the remainder when w is divided by 14?
12
Suppose 0*f + 2*n - 14 = -4*f, 5*n = -25. Let x = 0 + 3. Suppose -r + 3*r + 47 = x*p, 0 = -3*p + 3*r + 45. What is the remainder when p is divided by f?
5
Let t = 10 - 11. Let c(a) = -34*a. What is the remainder when c(t) is divided by 9?
7
Let y(v) = v**2 + 7*v + 6. What is the remainder when 21 is divided by y(-7)?
3
Let b(k) = k**3 + 13*k**2 - 14*k + 4. What is the remainder when 16 is divided by b(-14)?
0
Calculate the remainder when ((-99)/(-66))/((-3)/(-16)) is divided by 5.
3
Suppose -5*d + 8 = -2*b + 29, -5*b - 10 = 0. Calculate the remainder when (-1 - -2) + d + 51 is divided by 12.
11
Let w(m) = -46*m + 13. Calculate the remainder when w(-2) is divided by 18.
15
Suppose -4*f = 3*h + 11, 0*f - 4*f = -2*h + 26. Suppose -h*b + 39 = -0. Calculate the remainder when 24 is divided by b.
11
Let v(r) = -r**3 + 4*r**2 + 3*r + 5. Let n(f) = -f + 9. Let x be n(5). Calculate the remainder when 50 is divided by v(x).
16
Suppose -3*f - 2*f + 35 = 0. Let u = 57 + -38. What is the remainder when u is divided by f?
5
Let k be (62/(-5))/((-2)/40). Suppose 3 = 3*c - 2*c. Suppose -c*l = l - k. What is the remainder when l is divided by 21?
20
Suppose -6*c + 8 = 2. Ca