- 2*n + 54 = 0. What is the remainder when v is divided by n?
6
Let g be (-8)/(-20) + 177/(-5). Let n be 10/g - 23/(-7). Suppose -n*o - 21 = -2*u, -4*u = 2*o - 12 - 6. Calculate the remainder when u is divided by 4.
2
Let l(c) = -6*c + 1. Let n(o) = -3*o**2 + 1 + 4*o - 4*o. Let w be n(-1). What is the remainder when 37 is divided by l(w)?
11
Let n(v) = 10*v - 2. Let x be n(3). Let k = x - 19. Calculate the remainder when 26 is divided by k.
8
Suppose 0*j = -4*j + 24. Suppose 0 = m - j*m + 10. What is the remainder when (1/3)/(m/78) is divided by 7?
6
Let k(a) = a**3 - 7*a**2 + 9*a - 4. Let r be k(6). Suppose 32 + 8 = 2*w. Suppose -r - w = -f. What is the remainder when f is divided by 12?
10
Let x(c) = c**2 - 7*c + 2. Let t be x(7). Suppose -31 = -4*r - t*g + 11, -35 = -4*r + 5*g. What is the remainder when r is divided by 6?
4
Let d(w) = 9*w - 8. What is the remainder when 73 is divided by d(3)?
16
Let w(z) = z**3 + 5*z**2 + 3*z. Suppose 2*p = 3*l - 21, 3*l - l - 24 = 3*p. Let b = 3 + p. Calculate the remainder when 17 is divided by w(b).
8
Let n = -38 - -50. Calculate the remainder when 45 is divided by n.
9
Let x(j) = -j + 4. What is the remainder when 34 is divided by x(-15)?
15
Let i be -3 + 10/2 - -2. Suppose 2*v - v - i = 0. Calculate the remainder when (36 + 0)*(v - 3) is divided by 19.
17
Let z = 3 - 2. Suppose 3*r - 5*v - 11 = 0, -z = -5*r + 3*v + 12. Suppose r*j + 2*l - 7 = -l, -j = 5*l. Calculate the remainder when j is divided by 3.
2
Suppose 18 = 3*c - 27. What is the remainder when 58 is divided by c?
13
Let g(q) = q**2 - 12*q + 9. Suppose 4*j - x = j + 16, -34 = -5*j - 2*x. Calculate the remainder when g(12) is divided by j.
3
Let l(w) = w**2 + w + 2. Let v be l(0). Suppose 0 = -4*b + v*b + 14. Calculate the remainder when 12 is divided by b.
5
Suppose -w = -2 - 24. Calculate the remainder when 102 is divided by w.
24
Let o(k) = 2*k + 34. Calculate the remainder when o(14) is divided by 9.
8
Let g(o) = -o + 10. What is the remainder when 34 is divided by g(-2)?
10
Suppose 0 = 2*h + 4 - 2. Let x = -4 - -12. Calculate the remainder when 31 is divided by h/(-4) + 86/x.
9
Let y(r) = -2*r - 8. Let o(f) = f - 2. Let v be o(-9). What is the remainder when y(v) is divided by 8?
6
Let v = 43 - -8. Let a = 1 + 12. What is the remainder when v is divided by a?
12
Let y = 159 - 156. Calculate the remainder when 5 is divided by y.
2
Let k(j) = j**3 - 14*j**2 - 14*j + 3. Calculate the remainder when 88 is divided by k(15).
16
Let q(v) = 7*v**2 + 2*v + 2. Let f be (5 - 2) + 1*2. Suppose 0*g - 3*g = -3*j - 57, -f*j - 57 = -3*g. Calculate the remainder when g is divided by q(-1).
5
Suppose -2*n = 2*w - 110, 170 = 6*w - 3*w + 4*n. What is the remainder when w is divided by 267/21 - (-44)/154?
11
Suppose 56 = -4*n - p, 0*n + p = 3*n + 49. Let g = -8 - n. Let w = g + 2. Calculate the remainder when 17 is divided by w.
8
Let v = -65 + 70. Calculate the remainder when 8 is divided by v.
3
Let w(q) = -4*q + 2 - 3*q + 6*q. Calculate the remainder when w(-6) is divided by 1*(-1)/(-1) - -2.
2
Suppose -4*v + 5*j + 47 = -11, 0 = -5*v - j + 87. What is the remainder when 64 is divided by v?
13
Let j = -12 - -23. What is the remainder when 41 is divided by j?
8
Suppose 18 = -4*o - 2*k + 178, -5*o - k + 206 = 0. What is the remainder when o is divided by 11?
9
Suppose 205 = 14*j - 9*j. Calculate the remainder when 202 is divided by j.
38
Let m be (0*(-2)/6)/(-2). Suppose -2*v + 5*p = -1 - 14, m = -3*v - 3*p + 12. Let y(s) = s**2 + 4*s + 1. Calculate the remainder when y(-6) is divided by v.
3
Suppose 21 = 2*u - 57. What is the remainder when u is divided by 10?
9
Let f(j) = 2*j**2 + 5*j + 6. What is the remainder when f(-4) is divided by 1/((-1)/(-10) + 0)?
8
Let k(c) = c + 31. Calculate the remainder when 91 is divided by k(0).
29
Suppose 5*x = 84 + 51. Calculate the remainder when 45 is divided by x.
18
Let l be 1 + -10*(-4)/(-8). What is the remainder when -4*l/((-16)/(-49)) is divided by 13?
10
Suppose -4*g - 3*s + 170 = -2*g, -s = -2. What is the remainder when g is divided by 43?
39
Let h(g) = g**3 - 8*g**2 - 10*g + 22. What is the remainder when h(9) is divided by 4?
1
Let a = 13 + 1. Let s be 1/(-3) + (-76)/(-3). Suppose 0 = -7*i + 2*i + s. Calculate the remainder when a is divided by i.
4
Let o(u) = -u**2 - 12*u - 4. Let j(r) = -2*r**3 + 2*r**2 - 3*r + 1. What is the remainder when j(-3) is divided by o(-8)?
26
Suppose 29 = 2*q + s + 8, -q = -3*s - 7. What is the remainder when 38 is divided by q?
8
Suppose 2*p - 12 = 3*k, -p = -3*k - k + 4. Calculate the remainder when 14 is divided by p.
2
Let p(z) = 3*z**2 + 4*z + 0*z**2 - 2*z - z**3. Let u be p(3). Let x = u - 5. What is the remainder when 1 is divided by x?
0
Let o = -32 + 44. What is the remainder when 33 is divided by o?
9
Suppose 210 = 5*o - z, -2*z - 3 = o - 34. Calculate the remainder when o is divided by ((-6)/(-8) - -1)/(8/96).
20
Let b = 9 + -2. Let p = 18 + b. Calculate the remainder when p is divided by 2*1*(-18)/(-4).
7
Let r be ((-84)/(-35))/((-3)/10). What is the remainder when ((-188)/16)/(2/r) is divided by 12?
11
Let n = 13 + -5. Let v = 7 + -4. What is the remainder when v/2*(-44)/(-3) is divided by n?
6
Suppose -4*a - 3 = 21. Let h be (-4)/a + (-48)/(-9). Let n = h + -4. Calculate the remainder when 3 is divided by n.
1
Suppose -5*u = -p - 3*p - 64, 3*u - 39 = 3*p. Calculate the remainder when 83 is divided by u.
11
Suppose 6*k = 3*k + 2*l + 317, 0 = 3*l + 12. Calculate the remainder when k is divided by 27.
22
Let v(w) = -2 + w**2 - 2*w**2 - 5*w + 3. Suppose 20 = -6*u + u. What is the remainder when 9 is divided by v(u)?
4
Suppose 2*h + 1 - 2 = v, -h - 22 = -5*v. Suppose l = -5*n + 2, 3*l - 10 = -h*n - 2*l. Suppose n = -o + 2 + 16. Calculate the remainder when o is divided by 10.
8
Let p = 0 - -2. Suppose 2*g = 3*v - 38, v + p*v + 5*g - 52 = 0. What is the remainder when 40 is divided by v?
12
Suppose 3*g - 3*u = 21, -2*g + 2*u + 18 = -2*u. Let r be (-3)/(-5) + (-12)/(-30). Let p = 3 - r. Calculate the remainder when g is divided by p.
1
Suppose -15 = -5*w + 55. Let m = 52 - w. What is the remainder when m is divided by 20?
18
Let r = -62 + 37. Let x = -6 - r. What is the remainder when x is divided by 11?
8
Let m(h) = 6*h**2 + 9*h + 10. Calculate the remainder when 31 is divided by m(-2).
15
Let c(s) = -s**2 + 10*s - 7. Let f be c(9). Let o(a) = 4*a - 3. What is the remainder when o(5) is divided by (f/(-2))/((-2)/12)?
5
Let g(b) = b**3 - 12*b**2 + 11*b + 23. Calculate the remainder when 66 is divided by g(11).
20
Suppose -g = 1 - 14. Let u be (-3)/(-3) - (2 - 189). Suppose 0 = -5*b - 68 + u. Calculate the remainder when b is divided by g.
11
Suppose 2*q - 2*t = 3*t + 29, -5*t - 31 = -3*q. Suppose 3*f - q*y = 30 + 1, 4*f + 5*y - 49 = 0. What is the remainder when 20 is divided by f?
9
Let g(l) = -8*l - 9. Calculate the remainder when 13 is divided by g(-2).
6
Let d = -47 - -78. Let x = 33 + -22. What is the remainder when d is divided by x?
9
Let y(o) = o**2 + o + 1. Let s be 0*(3 + 21/(-6)). Let t be y(s). What is the remainder when (t + 0)*3 + 2 is divided by 2?
1
Suppose 0 = 3*q + q + 8. Calculate the remainder when 23 is divided by (18/(-4))/(q/4).
5
Suppose -3*c + 2*l = l - 89, -c - 4*l = -47. Calculate the remainder when 338 is divided by c.
28
Let f be ((-2)/(-6))/(3/(-27)). Let n(o) = -6*o - 3. Calculate the remainder when 29 is divided by n(f).
14
Suppose 7*k = 4*k - 240. Let g = k - -39. Let t = g + 63. Calculate the remainder when 42 is divided by t.
20
Let f(c) = c + 8. Let d be f(-5). Let p(n) = 3*n**3 - 2*n**2 + n - 4. Let g(s) = -s**3 + 7*s**2 - 5*s - 4. Calculate the remainder when p(d) is divided by g(5).
20
Let m = 38 - 28. What is the remainder when 16 is divided by m?
6
Suppose g = 2 + 2. Suppose 46 = 2*l + g. Suppose -21*y + 115 = -11. Calculate the remainder when l is divided by y.
3
Let s(r) = -r**3 + 13*r**2 + 4*r - 6. Calculate the remainder when s(13) is divided by 16.
14
Suppose f + 3*f - 100 = 0. Let z = -8 + f. Suppose 3*n + 108 = 3*c, 0 = 2*c - 4*n - 70 - 10. Calculate the remainder when c is divided by z.
15
Calculate the remainder when 99 is divided by 75/30*(0 + 10).
24
Let h be (-6)/(-39) + 13256/26. Suppose -5*c + h = -675. Suppose 0*f