 - 4*x - 13. Calculate the remainder when 18 is divided by z.
4
Let r(x) = 2*x**3 - 15*x**2 + 7*x + 14. Calculate the remainder when 153 is divided by r(7).
13
Let z(r) = r**2 + 6*r + 4. Suppose -8*m + 3*m - 5*b - 65 = 0, -4*b = 2*m + 36. Calculate the remainder when 38 is divided by z(m).
18
Let n(b) = -5*b**2 - 4*b. Let g(i) = 16*i**2 + 12*i. Let z(w) = -3*g(w) - 10*n(w). Let k = 8 - 4. What is the remainder when z(-3) is divided by k?
2
Let q = -91 - -150. What is the remainder when q is divided by 10?
9
Suppose 2*g + 11 = 3*g. Let i = g + -4. Let l = -22 + 34. What is the remainder when l is divided by i?
5
Suppose 5*n = -f + 45, -f + 54 = -3*n - n. What is the remainder when f is divided by 13?
11
Let c = 723 - 61. Let z be (-4)/(-18) + c/18. Let t = 59 - z. What is the remainder when 64 is divided by t?
20
Suppose 12 = -y + 43. Let h be (-1 + 0)*12 + 1. Let k = y + h. Calculate the remainder when k is divided by 7.
6
Suppose -q + 7 = -0*q. Let v be (3 + -3)/(-7 + 4). Suppose -2*c - 2*j + 12 + 20 = 0, -5*c + 2*j + 94 = v. Calculate the remainder when c is divided by q.
4
Let p be 7/(14/4) + 86. Calculate the remainder when p/33*(-27)/(-4) is divided by 10.
8
Let g(w) = 15*w - 13. What is the remainder when g(4) is divided by 24?
23
Let i(c) = -11*c + 1. Calculate the remainder when 107 is divided by i(-5).
51
Suppose 6*j + 50 = 8*j - 2*c, -4*j + 2*c = -102. What is the remainder when 2*1 - (-1 + -46) is divided by j?
23
Let m(d) = -2*d - 4. Let x be m(-3). Suppose 0 = 2*s + x*s. Suppose 5*t - 105 - 115 = s. What is the remainder when t is divided by 15?
14
Suppose 6*f - 5 = f. Let b(o) = o**3 + 10*o**2 - o - 8. Calculate the remainder when b(-10) is divided by f.
0
Let x(p) = -p**3 - 5*p**2 - 3*p - 6. Calculate the remainder when 24 is divided by x(-5).
6
Let m(y) = 11*y + 1. Calculate the remainder when 44 is divided by m(1).
8
Suppose -15 = -o - 4*o. Let r = -1 + -1. Calculate the remainder when ((-14)/r)/(1/1) is divided by o.
1
Suppose -369 = 53*p - 62*p. Let s = 10 + 5. Calculate the remainder when p is divided by s.
11
Suppose -2*w = 382 + 98. Calculate the remainder when ((-12)/(-5))/((-18)/w) is divided by 11.
10
Let d(o) = 35*o. Suppose 5*z + 6*a = 2*a + 133, -5*z + 127 = a. Let c = z + -13. Calculate the remainder when d(1) is divided by c.
11
Let d be 5/((-15)/2)*-6. Suppose -4*m + d*q = -28, 5*m + q = -2*q + 3. Suppose -3*x = -m, 5*x + 0 + 1 = 2*h. What is the remainder when 4 is divided by h?
1
Suppose -2*w - y = -83 - 46, -2*w + y + 135 = 0. Let l(k) = 2*k**3 + 2*k**2 - 1. Calculate the remainder when (w/(-9))/(4/(-6)) is divided by l(1).
2
Suppose 5*s - 13 - 2 = 0. Suppose 0 = -2*k - s*k + p + 238, -6 = 2*p. What is the remainder when k is divided by 16?
15
Let y be 1/(-2) + 201/2. Suppose -5*f = 2*u - 10 - y, 0 = 2*f + 2*u - 38. What is the remainder when f is divided by 13?
11
Suppose 5*h + 28 + 2 = -5*c, 3*h - 5*c + 10 = 0. Let v = 5 - h. What is the remainder when v is divided by 3?
1
Suppose 12*u = -2*u + 378. Let y = 35 - 20. Calculate the remainder when u is divided by y.
12
Let c(i) = -i**2 - i. Let m be c(-1). Suppose m*w + 105 = 7*w. Calculate the remainder when 58 is divided by w.
13
Let f(b) = 3*b + 1. Calculate the remainder when 50 + 0*3/18 is divided by f(4).
11
Let w(u) = -u**3 - 4*u**2 - u + 5. Let a be w(-4). Suppose -4*y + a*y - 4*n - 169 = 0, 0 = y - n - 34. What is the remainder when y is divided by 12?
9
Let c = 80 + -31. Let h = 2 - -1. Calculate the remainder when (-4)/(-6) + c/h is divided by 10.
7
Let s = -185 - -187. Let w = -7 + 10. What is the remainder when w is divided by s?
1
Suppose -4*h - 3*u - 9 = 0, 13 = -3*h - 0*h + 4*u. Calculate the remainder when (-316)/(-12) + 1/h is divided by 9.
8
Calculate the remainder when 34 is divided by 14 - (-1 + (-3)/(-4 + 3)).
10
Let y = 1 - -1. Suppose 4 = 2*m - y. Calculate the remainder when 10 is divided by m.
1
Let j be (-33)/(-7) + (-8)/(-28). Suppose -j*s + 3*s - 12 = 0. Calculate the remainder when (9/s)/(1/(-18)) is divided by 14.
13
Let y(h) = -h**2 - 6*h - 4. Let q be (-336)/88 + 4/(-22). Calculate the remainder when 63/6 + 1/(-2) is divided by y(q).
2
Let j = -46 - -71. What is the remainder when j is divided by ((-24)/10)/(28/(-105))?
7
Let l = 246 + -63. Calculate the remainder when l is divided by 46.
45
Suppose -11 = -c - 3. Let p(u) = 10*u. Calculate the remainder when p(3) is divided by c.
6
Let h be (-2 - -5)/1 - 1. Suppose 3*v + 0*v + 71 = y, 94 = -4*v + h*y. Let w = 74 + v. What is the remainder when w is divided by 17?
16
Let f(c) = 6*c**2 - 7*c - 9. Suppose -3*a + 50 = 5. What is the remainder when f(-2) is divided by a?
14
Suppose -4*z = -2*k - 190, -3*z + 3*k + 8 + 133 = 0. Let j = 13 + -13. What is the remainder when z is divided by (j - (4 - 25)) + -4?
14
Let p(m) = 8*m + 1 + 3 - 3*m**2 + 3 - m**3. What is the remainder when 33 is divided by p(-5)?
16
Let q(s) = 3*s - 4. Let p be q(3). Calculate the remainder when 48 is divided by (p/10)/(2/68).
14
Let p = -31 + 66. Let j = -11 - 3. Let i = j - -26. What is the remainder when p is divided by i?
11
Let v(d) = -2*d - 7. Let n(x) = x**3 + 6*x**2 + 3*x - 5. Calculate the remainder when n(-5) is divided by v(-5).
2
Let p(h) = 8*h - 5. Let l be p(4). Suppose -3*q - 2*m + l = -1, -m + 29 = 4*q. Calculate the remainder when 23 is divided by q.
5
What is the remainder when (4/4)/(2/180) is divided by 23?
21
Let s(a) = -a**2 + 30*a - 9. Calculate the remainder when s(28) is divided by (-1)/3 + (-148)/(-12).
11
Suppose -2*a + 0*a - 2 = 2*n, -2 = n + 2*a. Suppose n = -0*k - 3*k + 4*l - 13, -5*k + 13 = 2*l. Let y = -1 - -2. Calculate the remainder when y is divided by k.
0
Let h(f) = -4*f + 2. Let x be h(-4). Let d be 77/3 - (-6)/x. Suppose 0*j = -2*j + d. Calculate the remainder when 36 is divided by j.
10
Let q(s) = -5*s + 1. Suppose -3*n + m - 76 = 0, 0 = 5*n + m + 38 + 86. Let a = 36 - n. What is the remainder when a is divided by q(-4)?
19
Calculate the remainder when -3 + 1/((-3)/(-174)) is divided by 15.
10
Let a(m) = -14 - 2 - 11*m**2 + 2*m + 6*m**3 - 5*m**3. Calculate the remainder when 9 is divided by a(11).
3
Suppose 6*u - 5*y = 2*u + 101, -107 = -4*u + 3*y. Let h = -20 + u. Calculate the remainder when h is divided by 3.
0
Suppose -2*r = r - 45. Let u(f) = f**2 - 15*f + 14. What is the remainder when 69 is divided by u(r)?
13
Let s(r) = 3*r**2 + 5*r - 5. Let i be (-2 + 3)*(-3 + -1). What is the remainder when s(2) is divided by (-26)/(-4) + 2/i?
5
Let q(r) = -r + 2. Let z(p) = -3*p + 6. Let c(y) = 11*q(y) - 4*z(y). Let w be c(3). Let j = w - -13. Calculate the remainder when j is divided by 8.
6
Let b be (252/16)/7*-24. Let i = b + 75. What is the remainder when i is divided by 6?
3
Let w = -6 - -15. Suppose 5*g = -2*h - 28, 5*h = h - 16. What is the remainder when (-93)/(-4) + (-3)/g is divided by w?
6
Suppose -2*v = -3*q - 78 + 25, 5*v = -2*q + 161. Calculate the remainder when v is divided by 110/7 - 24/(-84).
15
Suppose 8 = 4*z, 2*j = -2*z + z + 12. Let s(n) = 5*n - 3. What is the remainder when s(4) is divided by j?
2
Let f = 33 - 16. What is the remainder when 49 is divided by f?
15
Suppose -50 = -5*a + 3*k + 46, k - 88 = -5*a. Let z(q) = -q**3 + q + 5. Let c be 1/(-4) - 3/(-12). Calculate the remainder when a is divided by z(c).
3
What is the remainder when (-47 + -14)/(1/(-2)) is divided by 31?
29
Let u(a) = -2*a**2 + 32*a - 15. What is the remainder when u(13) is divided by 18?
9
Let i = -39 - -55. What is the remainder when 30 is divided by i?
14
Let k(q) = -q**2 - 6*q - 3. Let b be k(-4). Suppose -b*h - 13 = 2*d - 44, -5*d + 2*h = -34. Calculate the remainder when d is divided by 3.
2
Calculate the remainder when 55 is divided by (-3)/((-36)/8)*21.
13
Let g(w) = 30*w**3 - w**2 + 2*w - 1. What is the remainder when 87 is divided by g(1)?
27
What is the remainder when 167 is divided by 5*(0 + 1) - -5?
7
Suppose -26 = -5*i - 1. Suppose 0 = -3*c - i*z + 27 + 84, 0 = c + 2*z - 38. Calculate the remainder when c is divided by 17.
15
Suppose 2*d - d = 4*p - 69, -5*p + 5*d = -105. Let l = -11 + p. What is the remainder when 17 is divided by l?
2
Suppose s - 18 = -s. Let h be 48/22 - 4/22. Suppose -h*z = -5*k + 20 - 67, -4*z - 2*k + 106 = 0. Calculate the remainder when z i