ppose 0*y = -4*o - y + 13, -17 = -5*o - y. Suppose 0 = -4*u - o*q + 32, 4*u - 5*q = u + 24. What is the remainder when 22 is divided by u?
6
Let v(p) = -3*p + 2. Let z(g) = 0*g + 0 - 3 - g. Let r be z(4). What is the remainder when v(r) is divided by 12?
11
Suppose 40 = 5*z - 0. Suppose 0 = 2*b + 86 + 712. Calculate the remainder when 4/18 + b/(-27) is divided by z.
7
Suppose 2*i + 2*i = 84. What is the remainder when 12 is divided by (i/(-12))/(3/(-12))?
5
Suppose 242 = 4*y - 4*k - 98, 3*y = -3*k + 249. Calculate the remainder when y is divided by 17.
16
Suppose -5*p + 15 = -5. Suppose 8 = p*f - 4. Calculate the remainder when 4 is divided by (-9)/(-6)*4/f.
0
Calculate the remainder when 116 is divided by (-65)/10*-4 + -1*2.
20
Let f = -1 - -4. Suppose 4 = f*x + 37. What is the remainder when 20 is divided by 1 - 1 - x/1?
9
Let d(v) = v**2 + 5*v + 7. Let u(w) = 3*w**2 + 14*w + 20. Let j(a) = -17*d(a) + 6*u(a). What is the remainder when j(-8) is divided by -4 + (-1 - -3) + 27?
23
What is the remainder when 49 is divided by (-1)/(-5) + (-258)/(-10)?
23
Let m(r) be the first derivative of -2*r**4 + r**2 + r - 3. Let j(i) = i - 7. Let a be j(6). What is the remainder when 12 is divided by m(a)?
5
Suppose -p + 9 = -0*p. Suppose -5*q = -q. Suppose -h + p + 17 = q. What is the remainder when h is divided by 7?
5
Let t = 44 - 37. What is the remainder when 32 is divided by t?
4
Suppose -5*q = 149 - 404. Let g = q + -29. Calculate the remainder when g is divided by 12.
10
Calculate the remainder when 12/(-10)*(-145)/1 is divided by 35.
34
Suppose 0 = -s - 0 + 2. Suppose -s*q + q = -17. Calculate the remainder when 30 is divided by q.
13
Let b = -61 + 164. Calculate the remainder when b is divided by 35.
33
Suppose -d - 5*d + 438 = 0. Calculate the remainder when d is divided by 19.
16
Let r(x) = x - 4. Let n be r(8). Suppose n*o - 36 = -0*o. Calculate the remainder when 15 is divided by o.
6
Let q = 195 + -111. What is the remainder when q is divided by 29?
26
Let n = 42 + 20. Suppose 5*c - 8 = n. Calculate the remainder when 41 is divided by c.
13
Let j(v) = -2*v**3 + 2*v**2 + 2. Let q be j(2). What is the remainder when 3*3/(q/(-10)) is divided by 8?
7
Suppose -5*q + j = -9, -4*j + 6 = 2. Let y = 0 + q. Suppose -14 + y = -4*w. Calculate the remainder when 9 is divided by w.
0
Let l = -68 - -80. What is the remainder when 58 is divided by l?
10
Let n = 5 - -36. What is the remainder when 160 is divided by n?
37
Suppose -5*i + 50 = -55. Calculate the remainder when i is divided by 12.
9
Suppose -a - 2*o = -34, -3*a + 88 = -0*a - o. Calculate the remainder when 177 is divided by a.
27
Let f(j) be the third derivative of -j**5/60 + 5*j**4/24 + j**3/2 + 3*j**2. Calculate the remainder when 12 is divided by f(4).
5
Let f = -26 - -45. Let l(q) = -6*q**3 - 3*q**2. Calculate the remainder when l(-2) is divided by f.
17
Suppose -4*z = -2*q + 66, 3*z - 9 = -0*z. Suppose 15 = o + 2*o, -a - 2*o + q = 0. Calculate the remainder when a is divided by 10.
9
Let f(a) = a**2 + a + 2. Let z be -2*(-6)/4 - 1. Suppose 0 = -z*t + v + 12, t + 3*t - 4*v = 16. What is the remainder when f(-4) is divided by t?
6
Let d = 5 + -6. Let v = 1 - d. Calculate the remainder when 3 is divided by v.
1
Suppose -107 = -5*p - 2. Calculate the remainder when 125 is divided by p.
20
Let i be (3 - 0)/(6/(-4)). Let f(a) = -2*a - 2. What is the remainder when f(-7) is divided by 10*(15/6 + i)?
2
Let i = 4 + -2. Suppose -2*a + a + 2*o = -8, 0 = 4*a - i*o - 38. Calculate the remainder when a is divided by 6.
4
Suppose -3 - 45 = -3*v. Let q = 28 - v. Calculate the remainder when (-1)/(-3 + 296/100) - 3 is divided by q.
10
Let t(b) = -b**3 - 5*b**2 - 6*b. Let q(n) = -n**2 - 2*n - 1. Let u be q(-5). Let g = u - -30. Calculate the remainder when g is divided by t(-4).
6
Let r(n) = 6*n**2 - 2*n - 1. Let l be r(-1). Suppose 3*d = l*d - 28. Suppose -4 = 2*a - 3*a. Calculate the remainder when d is divided by a.
3
Let m(f) = f - 2. Let h = 28 - 18. What is the remainder when h is divided by m(6)?
2
Suppose u = -3*u. Suppose -2*p = -10 - u, d + p - 16 = 0. Let s = 30 + 1. Calculate the remainder when s is divided by d.
9
Let x = 0 - 0. Suppose 3*p - 35 - 49 = x. Suppose -7 = -2*b - 3*j + 4, 5*b = 4*j + 62. Calculate the remainder when p is divided by b.
8
Suppose -64 = -3*q + 335. Calculate the remainder when q is divided by 46.
41
Suppose i + 3*f = 2*i - 25, 2*i + 5*f = 28. What is the remainder when 55 is divided by i?
17
Let n(r) = r + 17. Calculate the remainder when 81 is divided by n(13).
21
Let n(j) = j**2 - j - 16. What is the remainder when n(6) is divided by 4?
2
Suppose 3*y + 6 = 5*y. Calculate the remainder when 27 is divided by y.
0
Suppose 5*n - 1 = -3*y, 3 - 53 = 5*y - 2*n. Let h be (-7 + 4)*y/6. Suppose -h*q = -34 - 70. Calculate the remainder when q is divided by 9.
8
Suppose -g = 5*u - 79 - 102, 3*g - 597 = 3*u. What is the remainder when g is divided by 50?
46
Let w(l) = -l - 5. Let k be w(-6). Calculate the remainder when 13 is divided by k + (-2)/(-1) + 1.
1
Suppose 0 = -2*c + 16. What is the remainder when 35 is divided by c?
3
Suppose -5*m + 106 = 441. Let t = m + 120. What is the remainder when t is divided by 14?
11
What is the remainder when 6/2*(14/6 - 0) is divided by 3?
1
Suppose -86 = -4*m - 2*b, -3*b = -2*m - 2*b + 49. What is the remainder when 66 is divided by m?
20
Let m = -7 - -9. Let g(h) = -h + 4. Let v be g(-5). Suppose -m*c + v = -1. What is the remainder when 9 is divided by c?
4
Let g(f) = -2*f**2 + 4*f - 3. Let x be g(2). Let i be 0 + (-2 - x) + 9. Calculate the remainder when 5 is divided by ((-6)/i)/(6/(-30)).
2
Let y = 139 - 117. Calculate the remainder when 153 is divided by y.
21
What is the remainder when (-6)/9*1*-18 is divided by 16/(-4) + 1 - -6*1?
0
Suppose 0*n + t = 5*n - 11, -5*n - 4*t = -6. Let x be (0 - -1)*(-6)/(-2). Let w = x - 1. What is the remainder when w is divided by n?
0
Let q = 105 + -95. Calculate the remainder when 57 is divided by q.
7
Let k = -47 - -20. Let i = k + 67. Suppose -q - 34 = -3*q - 3*y, 4*q = -4*y + 64. Calculate the remainder when i is divided by q.
12
Let n(y) = 3*y - 1. Calculate the remainder when 53 is divided by n(5).
11
Let g = -4 + 8. Suppose 36 = -g*s + 6*s. What is the remainder when s is divided by 5?
3
Let y(b) = -b**3 + 2*b**2 - 2. Let q(c) = -2*c**2 - 1. Let s be q(-1). Calculate the remainder when y(s) is divided by ((-3)/2 + 3)*120/12.
13
Let j be (-2 + 6)*2/4. What is the remainder when 17 is divided by ((-1)/(-2))/(j/24)?
5
Let j = 129 - 89. Calculate the remainder when j is divided by 14.
12
Suppose -4*a = 4*z - 28, 18*a = 3*z + 17*a - 41. What is the remainder when 81 is divided by z?
9
Suppose -84*l + 82*l + 16 = 0. Calculate the remainder when 25 is divided by l.
1
Let g = -68 + 89. Calculate the remainder when g is divided by 2/(-8) + (-90)/(-8).
10
Let o be (-12)/(-9)*6/(-4). Let d = -7 + 4. Calculate the remainder when (o - (d - 24))/1 is divided by 9.
7
Suppose 0 = -7*p + 3*p + 12. What is the remainder when 14 is divided by p?
2
Let k(b) = b - 6. Let o be k(6). Suppose 3*i = -4*t + 59, 6*t - t = 4*i - 58. Calculate the remainder when i is divided by (-8 + 2)*(o - 1).
5
Let a(j) = -5*j**3 + 10*j**2 + 24*j + 9. Let q(y) = 2*y**3 - 3*y**2 - 8*y - 3. Let c(b) = -3*a(b) - 8*q(b). What is the remainder when 23 is divided by c(-5)?
11
Let d = -48 - -74. Calculate the remainder when d is divided by 14.
12
Suppose -2*o + 161 - 5 = 0. What is the remainder when o is divided by 0 - ((-18 - 3) + 1)?
18
Let n = 16 + -2. What is the remainder when n is divided by 26/6 - 4/(-6)?
4
Suppose -4*i + 13 = i + l, 5*i - 3*l = 21. Calculate the remainder when 12 is divided by i.
0
Suppose 0 = 2*l - 2*q - 218, 3*l + 2*q + 130 - 462 = 0. Suppose -4*c - 3*d = -2*d - 88, -5*c + d = -l. What is the remainder when 85 is divided by c?
19
Suppose -125 = -12*n - 17. Let w = 12 - -5. What is the remainder when w is divided by n?
8
Suppose 0 = 2*u - 2 - 20. Let z(q) = 3*q**2 + q - 3. What is the remainder when z(-3) is divided by u?
10
Let a = -1 - -4. Let v be (2/5)/((-2)/(-10)). Let q = a + v. What is the remainder when 8 is divided by q?
3
Let y(x) = 8*x**3 - x**2. Let s = -4 - 0. What is the remainder when -8*s/2 + -3 is