 v. What is the remainder when v is divided by 22?
20
Calculate the remainder when 64 is divided by -23*(-6 - (-6 - -1)).
18
Suppose 4*d - 11 - 33 = 0. Let g = d + -7. Suppose -28 = -4*k - g. Calculate the remainder when k is divided by 4.
2
Let v be ((-10)/(-15))/((-4)/(-30)). Suppose 16 = d + 5*u, d + v = u + 27. Calculate the remainder when 40 is divided by d.
19
Let r(p) = -6*p**3 + p**2 + 2*p + 1. Let m be r(-1). Suppose g - 35 = m*g. Calculate the remainder when 40 is divided by g/(-14)*(-1 + 29).
12
Suppose -4*p = -10*p + 114. What is the remainder when 75 is divided by p?
18
Suppose 13*w - 134 = 11*w. Let q(d) = -d + 23. Calculate the remainder when w is divided by q(0).
21
Suppose j + 2 = 7. Suppose -4*v + 2 = -3*v + j*l, -3*v - 4*l = -28. Suppose -139 + 37 = -3*m. Calculate the remainder when m is divided by v.
10
Let f be (2 + 2 + -1)/1. Suppose -t = -i, -f*t - 2*t = -i - 12. Calculate the remainder when 5 is divided by i.
2
Let g = -16 + 35. Calculate the remainder when g is divided by 5.
4
Suppose -4*s + 56 = 4*a, 3*s = a - 2*a + 14. Calculate the remainder when 40 is divided by a.
12
Suppose 0 = 4*n - 9*n. Suppose 0 = -5*a - 17 - 8, i - 3*a - 34 = n. Let v = 127 - 90. Calculate the remainder when v is divided by i.
18
Suppose -152 = -2*k - 0*k. Calculate the remainder when k is divided by 16.
12
Let r(g) = g + 150. Calculate the remainder when r(0) is divided by 38.
36
Suppose -4*m = 5*w - 88, -m + 2*w + 77 = 4*m. Suppose 0 = -3*g + 36 + 39. Let v = -16 + g. Calculate the remainder when m is divided by v.
8
Let w(t) = -9*t**3 - 2*t**2 - 2*t - 1. Let q(o) = -o**3 - 3*o**2 - 3*o - 3. Let x be q(-2). What is the remainder when w(x) is divided by 3?
2
Suppose x - 2 = -1, 2*f + 2*x = 124. Suppose 0 = 3*a - 3 - 3. Suppose a*s - 14 = -d + 1, -2*d - 5*s + 27 = 0. Calculate the remainder when f is divided by d.
19
Let s be (3/(6/(-44)))/(-2). Let n = -6 + s. What is the remainder when 9 is divided by n?
4
Let b = 170 + -158. Calculate the remainder when 23 is divided by b.
11
Let i be (-1)/((-3)/6*-2). Let q = i + 7. What is the remainder when 35 is divided by (-45)/q*(-8)/5?
11
Suppose 4*s - 85 + 2 = 3*i, -s = -2*i - 27. What is the remainder when 48 is divided by s?
14
Suppose -5*j + 8*j - 5*p - 2 = 0, 5*j - 16 = 2*p. Suppose x = 4*x - 9. Calculate the remainder when j is divided by x.
1
Let i(j) = -j**2 - 4*j - 2. Let q be i(-3). Let g(t) = 81*t**2 - 2*t + 1. Let m be g(q). Suppose 5*y - m = 25. Calculate the remainder when y is divided by 11.
10
Let w(a) = 2*a**2 + a - 1. Let g be 2*(3 + (-9)/6). What is the remainder when 0 - (24 - g)/(-3) is divided by w(1)?
1
Let n(f) = f**3 + 6*f**2 + 5*f - 1. Let x(a) = -a**3 + 8*a**2 - 8*a + 8. Let w be x(6). Let c = w + -11. Calculate the remainder when c is divided by n(-4).
10
Let h = -9 + 18. Calculate the remainder when h is divided by 5.
4
Let s(i) = -i**3 + 6*i**2 - 2*i - 7. Let m be s(5). Let v = m - 34. Let t = -13 - v. What is the remainder when t is divided by 5?
3
Let r(f) = f + 2. Let d be r(2). Suppose 0 = -8*t + 3*t. Suppose t = d*i - 3*y - 71, 2*i - 31 = -y - 2*y. Calculate the remainder when 32 is divided by i.
15
Suppose -m + 11 = -0*m. What is the remainder when 53 is divided by m?
9
Suppose 15 = 5*b - 15. Let w(t) = 7*t + 7. Let j(s) = -3*s - 3. Let g(x) = -5*j(x) - 2*w(x). What is the remainder when 20 is divided by g(b)?
6
Suppose -5*d + 15 + 35 = -5*n, 2*n = -5*d + 1. Let r = n - -11. Calculate the remainder when 14 is divided by r.
2
Let w = -60 + 98. Let h(l) = 8*l - 3. Let f(t) = 2*t - 6. Let v be f(4). What is the remainder when w is divided by h(v)?
12
Let h = 31 + -30. Calculate the remainder when 3 is divided by h.
0
Suppose 10 = -6*r + r. What is the remainder when 32 is divided by (-15)/10 - 37/r?
15
Let g(j) = -j**2 + 16*j - 49. Suppose 3*u + 5 = 98. Let p = u + -4. Calculate the remainder when p is divided by g(9).
13
Let s be 0/(4/(-8)*-4). Suppose s*i = -5*i + 185. Calculate the remainder when i is divided by 20.
17
Let m = -18 - -20. What is the remainder when m is divided by 2?
0
Suppose 23 + 21 = 4*c - 4*y, c - 2*y - 12 = 0. Let j(u) = -u**3 + 6*u**2 + 2*u - 7. What is the remainder when j(5) is divided by c?
8
Let f = -18 + 55. Let d = 109 - 47. Let k = d - f. What is the remainder when k is divided by 9?
7
Let g = 15 - 4. Let d(t) = t**2 - 3*t + 4. Calculate the remainder when g is divided by d(3).
3
Let u(t) = -t**2 + 12*t - 14. Let n = 0 + 76. Calculate the remainder when n is divided by u(9).
11
Let n = 64 - 49. What is the remainder when 1 + 59 - (4 - 3) is divided by n?
14
Let b(z) = z**3 - 5*z**2 + 2*z - 5. Suppose 5*s - 75 = -f + 6*f, 5*f = 2*s - 36. Calculate the remainder when s is divided by b(5).
3
Let n = -2 + -5. Let c = -3 - n. What is the remainder when 7 is divided by c?
3
Suppose 2*a - 3*a = -5. Let k = 466 + -171. Suppose -a*h + 280 = o, 8*h - 2*o = 3*h + k. What is the remainder when h is divided by 15?
12
Let m be -3*(-1 - 51/(-9)). Let b = 21 + m. What is the remainder when b is divided by 4?
3
Suppose 2*j - 32 = j. Let h = -20 + j. What is the remainder when 46 is divided by h?
10
Suppose 2*p - 4*j + 12 = 0, 0*p - p = -3*j + 11. Suppose 0*u = -u + p. Suppose u*d - 5*d = -28. Calculate the remainder when d is divided by 15.
13
Suppose -406 = 51*b - 58*b. What is the remainder when 112 is divided by b?
54
Let o = 48 + -31. Calculate the remainder when 44 is divided by o.
10
Let j = 13 - 8. Suppose -30 - 7 = -a + j*y, -3*a = -y - 111. Suppose -8*d + 56 + 24 = 0. Calculate the remainder when a is divided by d.
7
Let w(q) = -5*q + 2. Let m(p) = -p**2 - 5*p - 3. Let f be m(-5). What is the remainder when 33 is divided by w(f)?
16
Suppose 2*w - 2*t = 50, -4*w + 118 = w + 2*t. Calculate the remainder when w is divided by 14.
10
Suppose 21*g = 15*g + 18. Calculate the remainder when 23 is divided by g.
2
Let j(u) = -u**2 + u - 1. Let h(s) = 7*s**2 - 3*s - 2. Let g(o) = -h(o) - 6*j(o). Let p be g(-6). Calculate the remainder when (-58)/(-4) - 5/p is divided by 8.
7
Suppose 4*n - 46 = -n + m, m + 37 = 4*n. What is the remainder when 34 is divided by n?
7
Let z(v) = -8*v - 17. Calculate the remainder when 111 is divided by z(-7).
33
Let w be (-1)/(0 - (-2)/(-12)). Let o be (0 + 0)/(2 - 1). Suppose g + o*g = w. Calculate the remainder when 16 is divided by g.
4
Let h(v) = 10*v - 4. Let d(z) = 9*z - 3. Let r = 5 + -9. Let g(u) = r*h(u) + 5*d(u). What is the remainder when g(5) is divided by 14?
12
Suppose -2*o + 20 = -160. Calculate the remainder when o is divided by 23.
21
Let h(p) = -p**2 - 8*p - 7. Let q be h(-6). Suppose 0 + q = 5*i. Suppose -l = -2 + i. What is the remainder when 2 is divided by l?
0
Let c = 89 + -204. What is the remainder when 24 is divided by 18/81 + c/(-9)?
11
Suppose 10 = -3*x - 5. Let j(n) = -n**3 - 5*n**2 + n + 7. Let p = 6 - 4. What is the remainder when p is divided by j(x)?
0
Let l be ((-4)/3)/(12/7722). Let y(o) = 2*o**2 - 2*o - 8. Calculate the remainder when l/(-14) + (-6)/21 is divided by y(4).
13
Let f = 117 - 64. Let g = 115 + -101. Calculate the remainder when f is divided by g.
11
What is the remainder when (-12)/(-90) + (-51)/45 - -87 is divided by 15?
11
Suppose -2*s = -s - 65. Let o(z) = 16*z**2 - 2*z + 3. What is the remainder when s is divided by o(1)?
14
Let x(a) = -a**2 + 4*a. Let b be x(4). Suppose b*q + 18 = q. Calculate the remainder when q is divided by 10.
8
Let l be 484/6 - 2/3. Let o = -56 + l. Suppose 3*a = -a + o. Calculate the remainder when 10 is divided by a.
4
Let o = 35 - 6. Calculate the remainder when o is divided by 11.
7
Let j(d) = 17*d**3 + 2*d**2 - d. Calculate the remainder when 51 is divided by j(1).
15
Suppose 5*h + 0*h = 0. Suppose 3*n - 24 = 2*v, 5*n = -h*v - 4*v - 26. Calculate the remainder when 31 is divided by 97/9 - 2/v.
9
Suppose m + 7*w - 2 = 3*w, -m + 5*w - 16 = 0. Let h(u) = -u**3 - 5*u**2 + 3*u - 8. Calculate the remainder when 38 is divided by h(m).
8
Let d = 8 + 6. What is the remainder when 25 is divided by d?
11
Suppose s + 3*s = 0. What is the remainder when (s - 8)*7/(-4) is divided by 8?
6
Let k(y) = -36*y - 1. Suppose -2*t = -3*t - 1. What is the remainder when k(t) is divided by 9?
8
Let z = -24 - -42. Calculate the remainder when 34 is divided by z.
16