Suppose -2*v + j*x = 5, 14 + 0 = v + 3*x. Calculate the remainder when 8 is divided by v.
3
Suppose 4*j - 16 = -5*h + 7, 3 = h. Let c(o) = 2*o**3 - 2*o**2 + o - 2. What is the remainder when (-183)/(-9) - 2/(-3) is divided by c(j)?
5
Let s(q) = q. Let r(i) = 28*i + 2. Let b(v) = -r(v) + 8*s(v). Let j(d) = -4*d - 3. What is the remainder when b(-2) is divided by j(-4)?
12
Let w(k) = 10*k - 1. Let l be w(1). Suppose -3*j = -0*j, 4*u = -4*j + 12. What is the remainder when 42/l + 2/6 is divided by u?
2
What is the remainder when ((-138)/12)/((-5)/60) is divided by 20?
18
Suppose 3*a = 11 + 22. What is the remainder when 83 is divided by a?
6
Suppose -3*f - 2*l = -15 - 16, -2*f + 8 = -5*l. Let x = -3 + f. What is the remainder when 23 is divided by x?
5
Suppose 0 = g + 5*l - 1 + 19, 2*g + 5*l + 16 = 0. Let m be (4 - g)*(-9)/3. Calculate the remainder when (-4)/m*(-51)/(-2) is divided by 9.
8
Suppose -53 - 13 = -3*n + 3*p, -2*p = 3*n - 91. What is the remainder when n is divided by 4/(-3)*(-15)/2?
7
Suppose 0 = 21*g - 17*g - 44. Calculate the remainder when 15 is divided by g.
4
Let b(c) = 13*c**3 - c**2 - c + 1. Let x be b(1). What is the remainder when 35 is divided by (x/15)/((-14)/(-315))?
17
Let f be ((-84)/(-9))/(4/6). Suppose -55 = -3*a + f. What is the remainder when a is divided by 13?
10
Let z be ((-18)/45)/((-2)/10). Suppose z*j = 3*j + 5*f + 11, 4*j + 5*f = 16. What is the remainder when 25 is divided by j?
7
Let i = -3 + 25. Calculate the remainder when 2/16 - (-6870)/80 is divided by i.
20
Let s = -4 - -6. Let k(z) = -z**3 - 15*z**2 - 15*z - 12. Calculate the remainder when k(-14) is divided by s.
0
Suppose 2*b = 2*q + 10, -4*b + 13 = -q - 7. Calculate the remainder when 7 is divided by b.
2
Let j(l) = -2*l + 10. Let t be j(0). Suppose 84 = 4*h - 4*g - 4, -38 = -h - 3*g. Suppose -2*a = -h + t. Calculate the remainder when a is divided by 5.
3
Let c = 1 + -5. Calculate the remainder when c/22 - (-475)/11 is divided by 15.
13
Let p(i) = i + 8. Let f be p(-6). What is the remainder when -3*f + 2 - -22 is divided by 7?
4
Let d(i) = i**2 - 2. Let l be d(2). Let t(n) = -3*n - l*n + 6*n**2 - 3*n + 6 + n**3. What is the remainder when 25 is divided by t(-7)?
12
Suppose 20 = -4*t + 5*t. What is the remainder when 58 is divided by t?
18
Suppose 3 = -2*p + 7. Suppose 0 = 4*c - 0*c. Let z = p - c. What is the remainder when 4 is divided by z?
0
Suppose 3*s = 5*l + 4, 2*l + 13 = 5*s - 0*s. Calculate the remainder when 38 is divided by s.
2
Let b = -8 - -14. Suppose -3*z = -0*z + b. Let s = 3 - z. Calculate the remainder when 8 is divided by s.
3
Let z(o) = -2*o + 4. Let y be z(5). Let x = y + 18. What is the remainder when x is divided by 7?
5
Let g(t) = t**2 - 16*t - 4. Let u(v) = 2*v**2 - 33*v - 9. Let i(y) = -9*g(y) + 4*u(y). Calculate the remainder when i(9) is divided by 15.
12
Suppose 0 = -x - 2*k + 21, 2*x = -4*k + 2*k + 44. Calculate the remainder when 43 is divided by x.
20
Suppose -5*f + f + 72 = 0. Let k be (1 + 0)/(1/(-13)). Let t = k + f. Calculate the remainder when 8 is divided by t.
3
Suppose -2*m + 5 = 1. Suppose -m*q + 20 = 2*p, -q - 3 = -4*q. What is the remainder when 17 is divided by p?
8
Let k be (-1)/(-4) - (-63)/4. Suppose 2*m = -2*m - k. Let p(j) = j**2 + 2*j - 4. What is the remainder when p(m) is divided by 2?
0
Let j(l) = 2*l - 5. Suppose -5*q + 8 + 2 = 0. Calculate the remainder when j(5) is divided by q.
1
Suppose -c + 11 = -20. Suppose 0 = 5*s - a - c, 0 = 4*s - 5*a - 0*a - 29. What is the remainder when 3*16/9*3 is divided by s?
4
Suppose 3*z = 2*t + 3*t + 54, -2*z = 2*t - 20. Calculate the remainder when 74*2/(-12)*33/(-11) is divided by z.
11
Suppose 22 = 2*f + 3*j, -f + 4*j + 32 = 4*f. Suppose 45 = 3*a - 0*a. What is the remainder when a is divided by f?
7
Suppose 65 = 6*z - z. Let p = -2 - 8. Let j = p + 17. Calculate the remainder when z is divided by j.
6
Let x(p) = p**2 - 39. What is the remainder when 222 is divided by x(8)?
22
Let l be ((-6)/(-5))/(6/20). Suppose f + l*f = -15. Let n(m) = -2*m - 3. Calculate the remainder when 8 is divided by n(f).
2
What is the remainder when 3/15 + (-1197)/(-15) is divided by 27?
26
Let i(n) = -n**2 + 10*n - 1. Calculate the remainder when 70 is divided by i(5).
22
Suppose -4*b + 3*b = -23. Calculate the remainder when b is divided by 6.
5
Calculate the remainder when 37 is divided by 6*4/(-84) - 116/(-14).
5
Let o be 4/((-14)/(-10) + -1). Suppose o - 80 = -5*d. What is the remainder when d is divided by 8?
6
Let s(g) = 2*g**2 - 5*g - 6. Let i be s(5). Suppose 3*y = 4*c + 121, 97 = 3*y + c - i. Calculate the remainder when y is divided by 10.
9
Let a(l) = -l**3 - 3*l**2 + 7*l - 1. Let s = 163 + -99. What is the remainder when a(-5) is divided by ((-3)/(-6))/(4/s)?
6
Suppose q - 31 - 16 = 0. What is the remainder when q is divided by (-15)/20 + (-134)/(-8)?
15
Let f(o) = -o**3 + 4*o + 2. Let i be f(-4). Let j = i - 17. Calculate the remainder when j is divided by 12.
9
Let b = 18 - 13. Let p(z) = z**3 - 5*z**2 + 3. Let l be p(b). Calculate the remainder when (-2)/1 + 0 + l is divided by 1.
0
Suppose -3*s - 2*q - 3*q - 16 = 0, -3*q - 6 = 3*s. Calculate the remainder when s is divided by (-3 - -5)*3/2.
0
Suppose 2*n - 7 - 99 = 0. Calculate the remainder when 262 is divided by n.
50
Suppose -55 = 2*f + c + 54, 0 = 4*f + 3*c + 213. What is the remainder when 46 is divided by 6/(-2) + f/(-3)?
14
Let d(y) = 4*y**2 + y - 4. Suppose 5*p - 91 = z, -30 = -2*p - 5*z + 7*z. Calculate the remainder when d(-4) is divided by p.
18
Let k(r) = 4*r**3 - 8. What is the remainder when k(4) is divided by 50?
48
Let s = 27 + -22. Let q = 27 - -2. Suppose 4*p + 1 = q. What is the remainder when p is divided by s?
2
Let l = 8 + -6. Suppose -l*y - y + 204 = 0. What is the remainder when y is divided by 23?
22
Let x(s) = 2*s**3 + s**2 - 4*s + 3. Calculate the remainder when x(4) is divided by 27.
23
Let g(a) = -21*a**2 - 2*a - 2. Let n be g(-2). Let p = n - -144. What is the remainder when 28 is divided by p/4 + 3/(-6)?
13
Let z(b) = -7*b - 16. What is the remainder when 35 is divided by z(-5)?
16
Let t(f) = -f**2 - f + 22. Let y = -2 + 2. Calculate the remainder when 42 is divided by t(y).
20
Let m be (6/12)/((-2)/(-284)). Let f = -43 + m. Calculate the remainder when f is divided by 15.
13
Let f = 36 + 36. Suppose -2*b + f = -0*b. Calculate the remainder when 142 is divided by b.
34
Suppose -1 = -v + h + 3*h, 2*h - 4 = -4*v. Let q = 29 + -18. Calculate the remainder when (2 - -18) + 2 - v is divided by q.
10
Suppose 3 = -3*p + 3*x, -2*x - 1 = p - 12. Let l = 19 + p. Calculate the remainder when 65 is divided by l.
21
Let w(i) = 2*i**3 - 5*i**2 - 2*i. Let c be w(4). Calculate the remainder when (-1 - -15) + -3 + 0 is divided by c/7 + (-6)/(-21).
5
Let r be (1/(-2))/(4/(-112)). Let n = 16 - r. What is the remainder when 2 is divided by n?
0
Let x be 2 + (-4)/(-8)*-2. Calculate the remainder when 41 is divided by (-14)/(-4)*4/x.
13
Let l(s) = -3*s - 2. Calculate the remainder when 28 is divided by l(-6).
12
Let x(h) = -h**2 + 13*h - 16. Let y be x(13). Let a = y - -30. What is the remainder when 27 is divided by a?
13
Let z(v) = v**2 + 7*v + 6. Let w be z(-6). Suppose 0 = y - w*y - 4. Suppose -3*u - 7 = 3*o - 28, 4*u = y*o + 52. What is the remainder when 29 is divided by u?
9
Let o = 84 - 42. Let m(z) = 2*z**2 - 5*z + 2. Let p(c) = 3*c**2 - 6*c + 2. Let y(i) = -4*m(i) + 3*p(i). Calculate the remainder when o is divided by y(4).
20
Suppose 41 = 5*j - 0*j - 2*x, -4*j + 3*x + 37 = 0. Suppose 141*b - 142*b + 25 = 0. What is the remainder when b is divided by j?
4
Let k(q) = -q**3 - 2*q**2 + 2*q - 5. Suppose -m - 7 = -3. Let b(u) = u**2 + u + 5. What is the remainder when k(m) is divided by b(0)?
4
Suppose 114 = 3*h - 51. Calculate the remainder when h is divided by 8.
7
Suppose -4*q = 5*l - 20, 3*q + 2*l - 27 = -12. Let g(b) = b + 2. What is the remainder when 20 is divided by g(q)?
6
Suppose 0 = 2*w - 5*s - 123, -w + 9 = 4*s - 33. What is the remainder when w is divided by 14?
12
Let o(p) = 9*p**2 + 3*p + 2. Let c be o(-2). Let f = 78 - c. Let q(k) = -k**3 + 30*k**2 + 30*k + 43. Calculate the remainder when f is divided by q(31).
10
Suppose 7*u = 2*u + 115. Suppose 3*b - 63 = 138. Calculate the r