- 2*v - 1. Let k be (-1)/3 + 2/(-3). What is the remainder when 31 is divided by z(k)?
9
Suppose 0*c = 3*c - 144. Suppose c = 2*v + 2. Calculate the remainder when v is divided by 12.
11
Let z = 5 - -41. Let j(r) be the second derivative of r**4/12 + r**3/6 - 2*r**2 + r. What is the remainder when z is divided by j(4)?
14
Let o(c) = -18*c - 2. Let j(f) = -3*f + 2. Let x be j(2). Calculate the remainder when o(x) is divided by 24.
22
Let c(f) = -f**3 + 7*f**2 - 5*f - 10. What is the remainder when 34 is divided by c(4)?
16
Suppose 18 = -3*c + 4*c. Let l(r) = -r + 4. Calculate the remainder when c is divided by l(-6).
8
Let o = 1 - 23. Let y = o + 32. What is the remainder when 19 is divided by y?
9
Let v = 12 - 0. Calculate the remainder when 93 is divided by v.
9
Suppose -3*c = 4*v - 35, 2*v + 15 = 2*c + 3*c. What is the remainder when 8 is divided by c?
3
What is the remainder when 37 + (-3 - -2) + -1 is divided by 12?
11
Let x(b) = 3*b - 7. Calculate the remainder when 21 is divided by x(5).
5
Let o(l) = -2*l - 6. Suppose 6*i + 15 = 3*i. Let c be o(i). Suppose 0 = c*h - 2*h - 6. What is the remainder when 5 is divided by h?
2
Suppose 3*t + t - 8 = 0. Suppose 0 = 3*g + t*g - 10. Suppose 2*f - 12 = -2*j, g*j - f - 14 = -2*j. What is the remainder when 10 is divided by j?
2
Suppose 40 = -m + 6*m. Let o(f) = f**2 - 9*f + 6. Let p be o(m). Calculate the remainder when 34 is divided by ((-60)/25)/(p/10).
10
Suppose 6*f + 16 = -2*g + f, -49 = 3*g - 5*f. Calculate the remainder when (-1)/(14/g - -1) is divided by 7.
6
Let h(u) = 4*u**2 - 2*u + 1. What is the remainder when 24 is divided by h(2)?
11
Suppose -4*b + 0*b - 92 = 0. Calculate the remainder when 44 is divided by (-3 - -4)/(-1)*b.
21
Suppose 20 = -m + 3*m + 2*t, 2*m = t + 29. Calculate the remainder when 23 is divided by m.
10
Let d(k) = 42*k**3 + k. Suppose 0 = -6*c + c. Suppose 0 = 3*y - 4*y - 3*v + 15, c = -y + 2*v + 15. What is the remainder when d(1) is divided by y?
13
Suppose 272 = 5*x + 3*o, o + 8 = 3*o. Suppose 0 = -l + 3*l - x. Calculate the remainder when l is divided by (-9)/(-1)*(-1 - -2).
8
Let z = 61 - 41. Let c(d) = d**3 + 3*d**2 - 3*d - 3. What is the remainder when z is divided by c(-2)?
6
Suppose 2*s = g + 3, -g - 2*g + 4*s = 11. What is the remainder when (-2 - 7/(-5))*g is divided by 1*4*1/2?
1
Let f = -5 + 10. Let g(i) = i**2 + 3. Calculate the remainder when 111 is divided by g(f).
27
Let d(s) = -s - 4. Let n be d(-5). Suppose 4*a - 3 = n. Suppose 0 = l - 1 - 1. Calculate the remainder when l is divided by a.
0
Let w = 58 + -53. What is the remainder when w is divided by 2?
1
Suppose 6*u - 3*u = 21. Calculate the remainder when u is divided by 3.
1
Let n = 200 + -96. Calculate the remainder when n is divided by 35.
34
Suppose -2*c + 49 = 3*s, -3*c - 3*s + 49 + 17 = 0. Let g = c + -6. Calculate the remainder when 43 is divided by g.
10
Let l = -62 + 129. Calculate the remainder when l is divided by 23.
21
Let g = 23 - 35. What is the remainder when 21 is divided by 15/2 + (-6)/g?
5
Suppose -j - 75 = -4*j. What is the remainder when j is divided by (-2)/(-3) - (-148)/12?
12
Let i(c) = 4*c - 1. Let l be i(3). Let d = l - 1. Calculate the remainder when d is divided by 1/3 - (-17)/3.
4
Suppose 2*o + 70 = 2*t, -68 = -3*t + 4*o + 39. What is the remainder when t is divided by 5?
3
Let u(i) = i**3 - 5*i**2 - 5*i + 1. What is the remainder when 20 is divided by u(6)?
6
Suppose -l - 3*f = 2, -4 = 2*l - f - 35. What is the remainder when 24 is divided by l?
11
Let v = 6 + 1. Let m(t) = 2*t - 5. Let q(o) = 4*o - 9. Let y(l) = 9*m(l) - 4*q(l). Calculate the remainder when v is divided by y(6).
1
Let q be (-4)/(-1) + 0 + -1. Let i(l) = 2*l - q*l - 2 - l. Calculate the remainder when 18 is divided by i(-6).
8
Let a = -38 + 61. Suppose -r + 6 = -5. Let f(o) = -o**2 + 13*o - 10. Calculate the remainder when a is divided by f(r).
11
Suppose 4*f - 2 = v, 5*v = v + 4*f + 16. Calculate the remainder when 15 is divided by v.
3
Let g = -23 - -65. What is the remainder when (1032/g)/((-2)/(-7)) is divided by 29?
28
Let o(r) = -r**2 + 4*r + 7. Let u be o(5). Suppose 0*a = -u*a + 20. What is the remainder when 19 is divided by a?
9
Let y(i) = -i**2 + 9*i + 11. What is the remainder when y(8) is divided by 7?
5
Let u(i) = i**2 - 2*i - 2. Calculate the remainder when u(-6) is divided by 96/(-18)*(-7 + 4).
14
Calculate the remainder when (228/16)/(1/4) is divided by 5/(-110)*-326 + 2/11.
12
Suppose 3*x + 2 = -2*b + 1, 3*x = -3*b. Let d be -3 + 100 - (1 + b). What is the remainder when (d/20)/(2/8) is divided by 5?
4
Suppose -2*z = -7*z + 55. What is the remainder when 19 is divided by z?
8
Suppose 0 = -5*f - 96 - 4. Calculate the remainder when (-12)/f + 148/20 is divided by 3.
2
Let n(v) = v**3 - 11*v**2 + 3*v - 16. Let x be n(11). Let r = x - 7. Calculate the remainder when r is divided by 6.
4
Let n = -8 + 19. What is the remainder when 52 is divided by n?
8
Let j = 7 - 0. Suppose 0 = 5*m - j - 3. Calculate the remainder when 6 is divided by m.
0
Let r be (-4)/6 + (-102)/(-18). Let t = r + -1. Suppose 60 = -0*d + 4*d. Calculate the remainder when d is divided by t.
3
Let f(l) = -8. Let o(w) = -w - 9. Let t(d) = 3*f(d) - 2*o(d). Calculate the remainder when 18 is divided by t(8).
8
Let u be (-1)/((-6)/9 - -1). Let s = -1 - u. Suppose -5 = -s*k + 23. Calculate the remainder when k is divided by 5.
4
Let l(b) = -b**2 - b + 9. Suppose 2*q - 127 = -4*c + 5*q, -4*q = -12. Calculate the remainder when c is divided by l(0).
7
Let q be 30/4*(-4)/(-3). Let a = q + -2. Calculate the remainder when 23 is divided by a.
7
Suppose -t + 165 = 3*f, -110 = -0*f - 2*f - t. Suppose f = 2*i + q - 29, -2*q = 4. Calculate the remainder when i is divided by 11.
10
Calculate the remainder when 6 is divided by (2 - 1)*(2 - -1).
0
What is the remainder when (6/(-4))/(6/(-160)) is divided by (21 + 0)*(-4 - -5)?
19
Let k(q) = -q**2 - 6*q - 2. What is the remainder when 21 is divided by k(-5)?
0
Let z(c) = 22*c**2. Calculate the remainder when 62 is divided by z(-1).
18
Let p = -63 + 113. Suppose -5*l + 40 + p = 0. Calculate the remainder when 69 is divided by l.
15
Suppose -2*p = 5*d - 3180, -4*d - 4*p + 2541 = -3*p. Let z(k) = k**2 - k. What is the remainder when (-2)/9 - d/(-18) is divided by z(4)?
11
Calculate the remainder when 248/(-12)*(-9)/6 is divided by 8.
7
Let l(k) = k**3 + 6*k**2 + 7*k + 5. Suppose 0 = 4*n + m - 8 - 6, -4 = -3*n - 4*m. Calculate the remainder when l(-4) is divided by n.
1
Let k be 15/6 + (-1)/(-2). Let s(d) = 4*d + 4. Calculate the remainder when 30 is divided by s(k).
14
Suppose 3*j = 66 + 48. What is the remainder when 188 is divided by j?
36
Suppose f - 52 = -2*l - 2*f, 4*l - 5*f = 60. Calculate the remainder when 57 is divided by l.
17
Let l be (-1)/((-1)/(2 - -13)). Let a = -39 + l. Let v = -12 - a. Calculate the remainder when 23 is divided by v.
11
Let t(h) = h**2 - 8*h - 21. What is the remainder when t(-10) is divided by 32?
31
Let q(v) = 27*v - 1. Suppose 37 = 2*r - 2*t + 3, 5*t + 43 = 2*r. Calculate the remainder when q(1) is divided by r.
12
Suppose 0 = -4*g + 3*g + 12. What is the remainder when 95 is divided by g?
11
Let x = -2 - -5. Let g be ((-4)/x)/(10/(-15)). Suppose 35 = g*k + 5. Calculate the remainder when k is divided by 9.
6
Suppose 4*y - 36 = y. Suppose 0*p = 4*p - y. Suppose -g + 4 + 11 = d, p*d - 50 = -4*g. Calculate the remainder when d is divided by 6.
4
Let x be (8/3)/(2/9). Suppose -g = n - 6*g - 15, -x = -2*n + g. Calculate the remainder when (3 - 16)/((-1)/n) is divided by 22.
21
Let p = -57 - -72. Calculate the remainder when 57 is divided by p.
12
Calculate the remainder when 157 is divided by -3 + 38 + 3 + 2.
37
Let k(z) = z**3 + 8*z**2 + 5*z + 7. What is the remainder when k(-3) is divided by 10?
7
Let l be 20 - (-4)/((-8)/(-6)). Suppose -5*s = -7 - l. What is the remainder when 11 is divided by s?
5
Suppose -588 = -4*y + 5*u - 0*u, 0 = 2*u. Calculate the remainder when y is divided by 15.
12
Let v(g) = -3*g. Calculate the remainder when v(-6) is divided by 7.
4
Suppose -4*z + 34 = 5*v, 4*z = -v + 2 + 8. What is the remainder when v is divided by 6?
0
Let d(g) = -g**3 + 7*g**2 + g - 4. Let a be d(7). Suppose 2*o + 20 = -5*k + 79, 0 = -2*o - 2*k + 44. C