 + 1. Calculate the remainder when 35 is divided by j(-2).
9
Suppose -4 = -4*u, -5*c + 4*u + 42 = 6*u. Let z(w) = 2*w - 10. What is the remainder when 17 is divided by z(c)?
5
Suppose 6*m - 3*m - 12 = 0. Suppose -3*f + 28 = f. Calculate the remainder when f is divided by m.
3
Let z = 7 - 3. Suppose -2 = -4*t + 2*p, t = -t - 2*p + z. Calculate the remainder when t is divided by (-2)/((-2)/1) + 0.
0
Let j(s) = 2*s**2 + s + 1. Let z be j(-2). Calculate the remainder when 2 is divided by 10/4 + z/(-14).
0
Let z = -105 - -109. Calculate the remainder when 10 is divided by z.
2
Let w(o) = 7*o**3 - 2*o**2 + 4*o - 4. What is the remainder when w(2) is divided by 14?
10
Suppose 0 = -3*k + 9*k - 30. Calculate the remainder when 19 is divided by k.
4
Let o = -20 - -14. Let w = 9 + o. Let v = 13 - 8. Calculate the remainder when v is divided by w.
2
Let o be (-1 - 0)/(-3)*21. Suppose 3*u + 16 = o*u. Let a(g) = g**2 + 8*g + 14. What is the remainder when u is divided by a(-6)?
0
Suppose 2*o = -2*o + 244. Let m = 37 - o. Calculate the remainder when 10 is divided by (m/(-20))/(6/20).
2
Let u(l) = l**3 - 7*l**2 + 6*l + 7. Let k be u(6). Let g(f) = 1. Let y(p) = p - 6. Let j(t) = 3*g(t) - y(t). Calculate the remainder when 3 is divided by j(k).
1
Suppose 8 = 3*q - q. Suppose 5*t - 93 = 3*i, 4*i - q = -8. What is the remainder when t is divided by 10?
8
Suppose y - 105 = -2*y. What is the remainder when y is divided by 9?
8
Let i = 176 + -128. Suppose 4*h - 18 = 22. What is the remainder when i is divided by h?
8
Suppose b + 4*h - 13 = h, -4*b - 4*h + 52 = 0. Calculate the remainder when 61 is divided by b.
9
Let x(z) = -z + 9. Calculate the remainder when x(6) is divided by (-2)/(-4)*(6 - 4).
0
Suppose -3*g + 6 = -3. Suppose -m + 0*m = 4*t + 11, -23 = -3*m + 2*t. What is the remainder when m is divided by g?
2
Let d = -6 + 8. Suppose -d*i = -2*o + 19 - 131, 2*o + 59 = i. Suppose 3*p = -4*u + 12 + i, -2*u + 34 = 2*p. What is the remainder when 26 is divided by u?
12
Suppose -3*n - 4*b + 49 = 0, -2*n + 42 = -0*n - 2*b. Let i = n + -2. What is the remainder when ((-6)/(-4))/(6/200) is divided by i?
16
Let h(c) = 11*c**3 + 2*c**2 - 3*c - 7. Let t(r) = 6*r**3 + r**2 - 2*r - 4. Let q(z) = 3*h(z) - 5*t(z). What is the remainder when 113 is divided by q(2)?
26
Let j(p) = 4*p**2 + 1. What is the remainder when 27 is divided by j(2)?
10
Let h = 1448 - 898. Suppose h = 5*u + 95. What is the remainder when u is divided by 23?
22
Suppose -j - d + 4*d = -297, 5*d = j - 303. Suppose 5*i + 4*q - j + 53 = 0, -q - 5 = 0. Calculate the remainder when i is divided by 13.
12
Let z = 79 - 54. What is the remainder when 42 is divided by z?
17
Let n = -95 + 161. Let a = -16 - -39. Calculate the remainder when n is divided by a.
20
What is the remainder when (-4225)/(-39) - (-2)/3 is divided by 10?
9
Let o(z) = 30*z**2 - 1. Let k be o(-1). Suppose 2 = 2*p + j - 15, j - k = -4*p. Calculate the remainder when 16 is divided by p.
4
Let m(g) = g**2 + 5*g + 6. What is the remainder when m(-7) is divided by 11?
9
Suppose 15*v + 45 = 18*v. Calculate the remainder when 26 is divided by v.
11
Let f = -9 + 23. Suppose 3*u = 5 - 20, -3*n + 2*u + 91 = 0. Calculate the remainder when n is divided by f.
13
Let w(y) = -y**3 + 8*y**2 - 9*y + 16. Calculate the remainder when 13 is divided by w(7).
1
Let m(j) be the second derivative of j**4/6 - j**3/3 + j**2/2 + j. Calculate the remainder when m(4) is divided by 13.
12
Suppose -i - 2*t + 4 = 0, 3*i + 0*t = t + 5. Suppose -3*l = i*l - 70. Let x = l - 8. Calculate the remainder when 10 is divided by x.
4
Let r = -30 + 80. Let x = -4 + r. Calculate the remainder when x is divided by 12.
10
Let f(o) = -o**2 + 9*o + 2. Calculate the remainder when 57 is divided by f(6).
17
Suppose c + 3*f = -8, f = 2*c - 1 - 4. Calculate the remainder when c is divided by 1.
0
Suppose -121 = 3*w + 35. Let s = w + 93. What is the remainder when s is divided by 11?
8
Let w(b) = -b**3 - 12*b**2 - b + 3. Calculate the remainder when w(-12) is divided by 6.
3
Suppose 3*o = 2*m - 32, 5*o - 2 = -m + 1. Calculate the remainder when 22 is divided by m.
9
Let y = 17 + -2. What is the remainder when ((-31)/4)/(y/(-60)) is divided by 8?
7
Let y(f) = f**2 + 4*f - 3. Let m(a) = -2*a + 3. Suppose 0*i - 3*h = i - 10, -3*i = -2*h - 8. Let u be m(i). What is the remainder when 3 is divided by y(u)?
1
Suppose -2*z + 2 = -4. Suppose 4*w = w + 57. Let k = w - z. What is the remainder when k is divided by 9?
7
Let o(i) = i**3 + 9*i**2 + 7*i + 6. Calculate the remainder when 41 is divided by o(-8).
13
Let i = 15 - -25. What is the remainder when i is divided by 14?
12
Let j(p) = -p**3 + 7*p**2 - p - 5. Let q be j(7). Let z = q - -17. Suppose -2*c - 5 = -21. Calculate the remainder when c is divided by z.
3
Suppose -x - 40 = 2*b, -37 = 3*x + b + 68. Let k be x + 6/(-3) + 1. Let v = k + 49. What is the remainder when 41 is divided by v?
13
Let q(f) = -f**2 - 8*f + 4. Calculate the remainder when 34 is divided by q(-5).
15
Let f = -8 - -12. Let w be 1 - 1 - (f + 0). Let d(v) = -9*v - 1. What is the remainder when d(w) is divided by 18?
17
Suppose 4*q + 2*r - 72 = 0, 2*q + 2*r - 38 = -0*q. Suppose -5*i = 4*g - 60, -2*i - i = 4*g - 52. Calculate the remainder when q is divided by g.
7
Suppose 2*a - 84 = -a. Let s = a + 4. Let h = -18 + s. Calculate the remainder when 41 is divided by h.
13
Suppose -5*g + 6 + 4 = 0. Let p(x) = x**2 - x. Suppose -7 = -4*f - j, 0*f = -2*f + 5*j + 9. Calculate the remainder when f is divided by p(g).
0
Suppose -c + 31 = -16. Suppose 0 = 2*g - 0*i - 5*i - c, 4*g - 139 = -5*i. What is the remainder when g is divided by 8?
7
Let k(x) = 2*x - 16. Let f be k(12). Let d(g) = g**3 - 9*g**2 + 9*g - 3. Let i = -13 - -21. Calculate the remainder when i is divided by d(f).
3
Let g be (10/3)/((-4)/(-6)). Suppose -5 = -g*v + 30. What is the remainder when 13 is divided by v?
6
Suppose -8*a + 6*a + 38 = 0. What is the remainder when a is divided by 16?
3
Let f = -8 - -45. What is the remainder when 109 is divided by f?
35
Let o = 61 - 43. Calculate the remainder when 59 is divided by o.
5
Let n be ((-1)/1)/(1/(-7)). Let o = -9 + 4. Let g = n + o. Calculate the remainder when g is divided by 2.
0
Let q(h) = -h**3 + 2*h**2 - h - 1. Suppose 0 = n + b - 9, 4*n - 2*n - 3*b - 28 = 0. Calculate the remainder when n is divided by q(-1).
2
Let j = -38 + 79. Calculate the remainder when j is divided by 19.
3
Suppose -5*d - 8 = 4*k, 0 = -k - 5*d + d + 9. Let r = k - -13. Suppose -6 = -x + 10. What is the remainder when x is divided by r?
4
Suppose 5*s = -4*o - 2, -5 = -4*s + o + 6. Suppose 2*z + s*i = 22, -3*i + 6*i = 3. Calculate the remainder when 38 is divided by z.
8
Suppose 4 = i + 3. What is the remainder when ((-1)/(-2))/((-3)/(-6)) is divided by i?
0
Suppose -2*d + o + 21 = -2, 4*d = -2*o + 26. Suppose 4*z - 163 - 93 = 0. Let c = z - 40. What is the remainder when c is divided by d?
6
What is the remainder when (7 - 6)/(3/633) is divided by 53?
52
Suppose -4*s - 4*d + 21 = -11, -7 = -2*s + d. Let u(n) = n**3 + 3*n**2 - 29*n - 2. What is the remainder when u(-7) is divided by s?
0
Let h = -16 - -24. Suppose -3 - 12 = -5*m. Suppose 9 = -m*u, -4*t + 3*u + 19 + 50 = 0. Calculate the remainder when t is divided by h.
7
Let n be 37/(-7) - 2/(-7). Let b(y) = y**2 - 6*y + 4. Calculate the remainder when b(6) is divided by (-2)/5 + (-17)/n.
1
Let h = 881 - 803. What is the remainder when h is divided by -1 + 2 + -2 + 21?
18
Suppose 0 = -d - o + 30, d + 0*d - 4*o - 45 = 0. Suppose -4*g = 3*c - 21 - 14, -4*c - 4*g = -44. Calculate the remainder when d is divided by c.
6
Let g(f) = f**2 + 6*f - 5. Calculate the remainder when g(-9) is divided by 5.
2
Suppose 216 = -y + 5*y. Suppose -k - y = k. Let n = k + 40. What is the remainder when n is divided by 7?
6
Suppose -4*a - 24 = g, g = 5*g + 16. Let t = -5 - a. Suppose t = -2*r - 1 + 27. Calculate the remainder when 24 is divided by r.
11
Suppose 20*i - 114 = 86. Calculate the remainder when i is divided by 8.
2
Let k(j) = 2*j**2 - 8*j + 13. What is the remainder when 41 is divided by k(3)?
6
Let j(n) = -10*n. Let y be j(-1). Let v = 16 - y. What is the remainder when 0 + 1 - (-276)/v is divided by 16?
15
Let w = 42 + -4. Suppose 2*m + 34 + 0 = -