. Let n = x - 2. Suppose 0 = 3*i + 3*l - 30, 4 = n*l - 2*l. What is the remainder when i is divided by 3?
2
Suppose -17 = -2*c + 3*c. Let i = 25 + c. What is the remainder when i is divided by (-6)/((-6)/3) - 0?
2
Let p(r) = r - 10. Let i(s) = 3*s - 29. Let k(f) = 2*i(f) - 7*p(f). What is the remainder when 26 is divided by k(5)?
5
Let d(f) = f**2 + 19*f - 16. Calculate the remainder when d(-20) is divided by 1.
0
Let o(b) = -8*b + 5. Suppose 0*l = 2*l + 12. What is the remainder when o(l) is divided by 18?
17
Let y(j) = 7*j + 42. Calculate the remainder when y(-5) is divided by 4.
3
Suppose l = -0*l + 3*o + 55, -3*o = -2*l + 110. Suppose 5*s - 2*s = 4*u + 110, 2*s = -u + l. What is the remainder when s is divided by 8?
6
Let x(a) = -a**3 - 8*a**2 + 4*a + 16. What is the remainder when x(-9) is divided by 62*(3/(-2))/(-3)?
30
Suppose 0*r = 4*r - c - 83, c - 77 = -4*r. Suppose -3*j + 54 = 2*t + t, r = 2*j - 2*t. Calculate the remainder when j is divided by 8*(-2)/((-2)/1).
6
Let m(q) = q - 1. Let f be m(5). Suppose 2*p + 3*h = 2*h + 5, 0 = -f*p + 5*h + 3. Suppose -190 = -3*s - p*s. What is the remainder when s is divided by 13?
12
Let v(x) = 2*x**2 + 3*x - 3. Let u be v(-3). Suppose -u*g + 69 = -3*g. What is the remainder when g is divided by 6?
5
Suppose 132 = 4*o - o. Let t = o + -14. Calculate the remainder when t is divided by 11.
8
Let t(i) = i + 4. Let h be t(-5). What is the remainder when 13 is divided by (h/(-3))/((-4)/(-60))?
3
Let u(n) = n**3 - 4*n**2 + 3*n + 2. Let p be u(3). Let r = p + 14. What is the remainder when r is divided by 9?
7
Let i(d) = d**3 + 15*d**2 + 11*d + 5. Calculate the remainder when 92 is divided by i(-14).
45
Suppose 0 = 4*l - 0*l - 40. Suppose 2*u + l = s + 50, 0 = -u + 5*s + 29. Let t(f) = f**3 + 5*f**2 - f + 5. Calculate the remainder when u is divided by t(-5).
9
What is the remainder when 4/3 - (-562)/6 is divided by 33?
29
Let o = -16 - -9. Let p = 0 - o. Calculate the remainder when 18 is divided by p.
4
Let c(j) be the second derivative of -2*j + 0 - 1/2*j**2 + 17/6*j**3. What is the remainder when c(1) is divided by 6?
4
Suppose -2*z - v + 96 = 0, 0*v = 3*z + 2*v - 145. Suppose 2*k = -y - 7, -y - 1 = -4*k + 2*y. Calculate the remainder when z is divided by (k - -68)/3 + 2.
23
Suppose 0 = 4*r + 3*v - 37, -v - 6 = -1. Calculate the remainder when -36*1/((-3)/3) is divided by r.
10
Suppose 4*s = 0, -2*q - s - s + 18 = 0. Calculate the remainder when 31 is divided by q.
4
Let w(o) = -3*o + 11. Calculate the remainder when 14 is divided by w(2).
4
Let w(s) = -s**3 - s**2 - s + 1. Let d(b) be the first derivative of -b**2/2 - 11*b + 2. Let x be d(-9). Calculate the remainder when 19 is divided by w(x).
5
Let x(i) = -i - 4. Let w be x(-6). Suppose -112 + 18 = -w*c. Calculate the remainder when c is divided by 16.
15
Let m(z) = -29*z + 1. Calculate the remainder when m(-1) is divided by (-15)/(-5) - (0 + -13).
14
Let x(f) = f**3 + 7*f**2 + 4*f - 6. Let g be x(-6). Let q = 9 - g. Calculate the remainder when 11 is divided by q.
2
Let m = -7 - -12. What is the remainder when m is divided by 4?
1
Let q = 26 + -11. What is the remainder when q is divided by 4?
3
Suppose 3*b - 6 = -0. Let x be -2 + 3 + -7 - 2. Let g = -6 - x. What is the remainder when b is divided by g?
0
Suppose 2*m - 2 - 6 = 0. What is the remainder when m is divided by (-6)/(-1*(1 - -1))?
1
Suppose 0 = -5*c + 73 + 2. What is the remainder when 39 is divided by c?
9
Let n(v) = -6*v - 38. What is the remainder when 25 is divided by n(-8)?
5
Suppose 2*p = -2*p - 20. Let k = p + 20. What is the remainder when 70 is divided by 355/k - (-1)/3?
22
Let z(i) = 21*i**3 - i**2. Let l be z(-1). Let u = -14 - l. Calculate the remainder when 20 is divided by u.
4
Let p = 26 - 12. What is the remainder when ((-5)/3)/((-2)/30) is divided by p?
11
What is the remainder when 28 is divided by ((-1)/(-2))/((-1)/(-20))?
8
Suppose 0 = 7*h - 2*h - 30. Let x(f) = f**3 - 4*f**2 - 2*f - 5. Calculate the remainder when x(5) is divided by h.
4
Suppose -2*j = -2, -25 = -4*l - 4*j + 63. Calculate the remainder when 103 is divided by l.
19
Suppose -4*o = -1 - 7. Suppose 0 = -0*d + o*d - 80. Suppose -2*y + 4*k - 6 = -y, -5*k = -25. What is the remainder when d is divided by y?
12
Let r(i) = -i**3 - 9*i**2 + 9*i - 12. Let b be r(-10). Calculate the remainder when 52 is divided by (-5)/(-10) + (-35)/b.
16
Let f be (0 - 2)/(-2) + 32. Suppose -3*d + f = 9. Calculate the remainder when 21 is divided by d.
5
Let a(u) = u**2 - 10*u + 7. Let q be a(7). Let k = q - -22. Calculate the remainder when 15 is divided by k.
7
Let d be 1*((-2 - -6) + 1). Suppose d + 31 = 3*b. What is the remainder when 22 is divided by b?
10
Let y(h) = h**3 - h**2 - 6*h - 7. What is the remainder when y(5) is divided by 13?
11
Suppose 0 = -0*t - 4*t + 96. What is the remainder when t is divided by 5?
4
Suppose -3*u + 315 = 5*n, 10 + 10 = -4*u. Calculate the remainder when (n/(-9))/(6/(-9)) is divided by 6.
5
Let x(o) = 2*o**2 - o + 3. Let c(s) = -2*s**2 + 4*s + 1. Let p be c(3). What is the remainder when x(p) is divided by 15?
13
Suppose 2*r + 2 = 3*r. Calculate the remainder when 1 is divided by -1 + r + 2 + -2.
0
Suppose 0 = 3*i, -8 = 4*r - 0*i - 2*i. What is the remainder when -1 + 2/r*-16 is divided by 8?
7
Let z(j) = -j**3 + 5*j**2 + 2*j - 4. Let u be z(3). Suppose -o + 6*o = u. What is the remainder when (-1)/(-2)*-2 - (-1 - 6) is divided by o?
2
Suppose -4*k - 30 = -174. Calculate the remainder when k is divided by 14.
8
Let g = 3 + 1. Suppose 2*c + 2*n - 3*n - g = 0, 2*c = 4*n - 8. Let t = -2 + c. Calculate the remainder when t is divided by 2.
0
Let t(f) = 5*f - 1. Let v be t(1). Suppose -v*a + 0*a = 0. Suppose a = -3*x + 6*x - 48. Calculate the remainder when x is divided by 6.
4
Let t(b) = -14*b**3 - b**2 + b + 1. What is the remainder when 23 is divided by t(-1)?
10
Let x be (9/(-5))/(3/(-10)). Let u = x - 2. Calculate the remainder when 14 is divided by u.
2
Let t(g) be the third derivative of -g**6/120 + g**5/60 + g**4/6 - g**3/2 - 9*g**2. What is the remainder when t(-4) is divided by 16?
13
Let w(h) = h**2 - 5*h + 5. Let u(v) = -2*v - 15. Let q be u(-10). What is the remainder when 7 is divided by w(q)?
2
Let g be 1 + 128 - (0 - -1). Suppose y + g = 5*y. Let h(w) = w + 11. Calculate the remainder when y is divided by h(0).
10
Suppose g - 3*b = 7, 16 = 5*g - 0*g + 4*b. Let v be 22 - 3/(-9)*-3. Let a = v - 10. Calculate the remainder when a is divided by g.
3
Suppose 2*t + 1 = 2*k - 1, -19 = -t - 4*k. What is the remainder when 7 is divided by t?
1
Let v = 17 - 10. Suppose -5*p - 2*b - 5 = -6*b, 0 = 4*p + 4*b - 32. What is the remainder when v is divided by p?
1
Let y = -25 - -41. Suppose 0 = 2*n + y - 98. What is the remainder when n is divided by 14?
13
Suppose -83 = -3*z + 25. Suppose 0*r - 3*r + z = 0. Let n = 17 + 17. Calculate the remainder when n is divided by r.
10
Let l(q) = 25*q - 17. What is the remainder when 97 is divided by l(2)?
31
Calculate the remainder when 16 is divided by (-1)/((-3)/(-9)) + 8.
1
Let u(g) = 2*g + 10. What is the remainder when 9 is divided by u(-3)?
1
Suppose -o = 5*b - 76, 0*o + o + 74 = 5*b. Let c = -25 - -53. Calculate the remainder when c is divided by b.
13
Let w(m) = -4*m - 3. Suppose -o = -1 - 2. What is the remainder when w(-2) is divided by o?
2
Suppose -j = 2*k - 10, -6*k + 2*k = 5*j - 32. Let z be 2/(-8)*-2*8. Suppose z*g - 77 = 3*b, 2*b + b = -j*g + 83. Calculate the remainder when g is divided by 7.
6
Suppose 3*x - 24 = 3*q, 0 = -q + 3*q. Suppose 2*h - 69 = -h. Calculate the remainder when h is divided by x.
7
Let l be 11 - 2/1 - 2. Let s = 17 - l. Calculate the remainder when s is divided by 6.
4
Suppose -5*k - 55 = -10*k. Let i = -8 - -13. Calculate the remainder when i is divided by (-12)/(-66) - (-31)/k.
2
Let w = 5 - 6. Let y be w/(-2) - (-86)/4. Suppose -3*s + y = 1. What is the remainder when 25 is divided by s?
4
Suppose 2*b + 3*o - 16 = 0, 100 = 5*b - 4*o + 14. What is the remainder when 25 is divided by b?
11
Let k = 20 + -14. Suppose -2*a + k*a = 184. What is the remainder when a is divided by 12?
10
Let c = -4 - -5. Calculate the remainder when -1*3/(-6)*2 is divided by c.
0
What is the remainder when ((-1)/((-2)/11))/(-1)*-6 i