vided by 12.
10
Let z(s) = s - 1. Let t be -30*((-9)/6 - -1). Suppose 2*a - t + 1 = 0. What is the remainder when z(a) is divided by 4?
2
Let t = 10 + 0. Let l = t + -7. What is the remainder when 9 is divided by l?
0
Let a(o) = o - 14. Let p(w) = -3*w + 29. Let m(r) = 9*a(r) + 4*p(r). Let j be m(10). Calculate the remainder when 13 is divided by (0 + -4)*70/j.
6
Let a(p) = -p**3 + p**2 + 2*p + 86. What is the remainder when a(0) is divided by 15?
11
Let o(w) = 3*w**2 - 2*w - 3. Suppose 3*b = -4*s + 124, 60 = 2*b + 3*s - 6*s. Calculate the remainder when b is divided by o(-2).
10
Let w(q) be the second derivative of -q**5/5 - q**4/6 + q**3/6 + q**2/2 - 7*q. What is the remainder when 68 is divided by w(-2)?
22
Let p be -2 + 0/(-3) - 12. Let r = 25 + p. What is the remainder when 20 is divided by r?
9
Let i(h) = -h**3 + 8*h**2 - 5*h + 9. Let v be i(7). Let q = v + -12. What is the remainder when 21 is divided by q?
10
Suppose 4*f - 32 = -2*a, -3*f - 2*f + 10 = 0. Calculate the remainder when 46 is divided by a.
10
Let w = 49 + -31. What is the remainder when 305/9 - (-9)/(88 + -7) is divided by w?
16
Suppose 194 = 2*t - 4*w, -470 = -2*t - 3*t - 5*w. Suppose -t = -5*l - 30. Calculate the remainder when 36 is divided by l.
10
Suppose 0*s = -2*s. Suppose 2*g - g + 2 = s. Calculate the remainder when 38 is divided by g/1 + 1 + 21.
18
Let g(p) = -14*p**3 - p**2 - p. Let z be g(-1). Let r be 2/2 + 26 + 1. Suppose f - r = z. Calculate the remainder when f is divided by 15.
12
Suppose -135 = -2*p - 3*p. Let t be (0 - 0) + 3 - 3. Suppose -c = -3*y + 38, t*y = y - c - 10. What is the remainder when p is divided by y?
13
Let a = 72 - 20. Let l = a - 32. Calculate the remainder when 57 is divided by l.
17
Suppose 19*k = 14*k + 300. What is the remainder when 177 is divided by k?
57
Let d(r) = -r**3 - 9*r**2 - 9*r + 7. Let f = -3 - -5. Suppose 0*u - 23 = -u - f*j, j + 119 = 4*u. What is the remainder when u is divided by d(-8)?
14
Let k(a) = a - 4. Let z be k(6). Suppose -22 = -z*h - 4*d, h + 0*h + 3*d - 8 = 0. Calculate the remainder when 32 is divided by h.
15
Suppose 0 = 4*v - 4*n + 6*n + 74, -5*v = -3*n + 87. Let r = v + 28. Calculate the remainder when 19 is divided by r.
9
Suppose -6*b + 8 = -4*b, -b = -5*m + 81. Suppose 2*a - 4*g - 90 = 0, -2*a - g + 198 = 2*a. What is the remainder when a is divided by m?
15
Suppose 4*d - 3*q = -1 + 44, -3*d + 32 = -2*q. Let p = -53 - -24. Calculate the remainder when (-3 + 2)*(p + 1) is divided by d.
8
Let s = 10 + -10. Suppose 0 = -4*c - 3 - 9, c + 7 = 4*y. Suppose -q + y + 24 = s. What is the remainder when q is divided by 13?
12
Suppose -2*i - 2*i = -164. Let z(n) = 9*n + 56. What is the remainder when i is divided by z(-5)?
8
Suppose -4*s + 185 = -67. Calculate the remainder when s is divided by 16.
15
Suppose p + w = -4, -p - 32 = 3*p - 4*w. Let u be ((-3)/p*0)/(-3). Suppose u = -5*t + 34 + 46. What is the remainder when 47 is divided by t?
15
What is the remainder when (-22)/3*15/(-10) is divided by 7?
4
Calculate the remainder when (-14)/(-49) + (-243)/(-7) is divided by 10/1 + (-2 - -1).
8
Suppose -7 = 2*d - 39. Let i = -5 + 11. Let q(f) = -f**2 + 7*f. Calculate the remainder when d is divided by q(i).
4
Let q = -34 + 42. Calculate the remainder when 21 is divided by q.
5
Suppose 2*h - 50 = 4*x, -4*h - 2*x + 6*x + 100 = 0. Let u = 51 + -22. Let k = 42 - u. What is the remainder when h is divided by k?
12
Let w = 82 - 75. Calculate the remainder when 47 is divided by w.
5
Let b(g) = g**2 - 9*g + 1. Calculate the remainder when 28 is divided by b(10).
6
Suppose 3*i - 9 + 3 = 0. Suppose s = 4*b - 0*b + 17, 0 = -5*s + 5*b + 25. Let x(m) = 3*m**2 + 1. Calculate the remainder when x(s) is divided by i.
0
Let a be (-10 - -1)*1/(-3). Suppose a*k = y + k - 40, 4*y - 2*k = 190. Calculate the remainder when y is divided by (-1)/4*(6 + -74).
16
Let g be ((-7 - 3)*1)/(-2). Suppose -4*z + 15 = y, g*y + 15 - 42 = -4*z. Calculate the remainder when 9 is divided by z.
0
Suppose -5*a + 3*n + 66 = -8, -5*n + 11 = 2*a. Let o(z) = 8*z - 4. Calculate the remainder when o(5) is divided by a.
10
Let k = 22 + -11. Calculate the remainder when k is divided by 6.
5
Suppose 0 = -4*t + 119 + 13. Calculate the remainder when 163 is divided by t.
31
Let k(f) = -2*f + 1. Let z be k(-1). Suppose -m + 3*p = -p - 17, 0 = z*p + 3. Suppose -28 - 44 = -3*b. What is the remainder when b is divided by m?
11
Suppose 0 = 4*x + 16, 5*x = -6*d + d + 200. What is the remainder when d is divided by 16?
12
Let r(i) = -i**2 - 8*i - 9. Let m be r(-6). Suppose m*p + 88 = 7*p. Calculate the remainder when p is divided by 12.
10
What is the remainder when ((-8)/2)/((48/(-150))/4) is divided by 17?
16
Suppose 2*y + 25 = y. What is the remainder when 10/y + (-72)/(-5) is divided by (16/10)/((-2)/(-10))?
6
Let r(u) = -10*u + 3. Let b be r(-4). Let s = b - -4. Suppose 0 = -4*p + c + s, -3*c + 17 + 29 = 5*p. What is the remainder when 31 is divided by p?
9
Let m(f) = -8*f + 2. Let a be m(3). Let t = a + 37. What is the remainder when t is divided by 8?
7
Let x(l) = l**2 - 6*l - 4. Let g be x(6). Let w = 5 - g. What is the remainder when 26 is divided by w?
8
Suppose -3*j + 27 = -42. What is the remainder when 272/6 - 5/15 is divided by j?
22
Suppose -4*f = 5*r - 96, -2*f - r = 2*r - 50. Let h(n) = 8*n + 9. Calculate the remainder when h(8) is divided by f.
16
Let m = -2 + 4. Suppose m*n + 0*n = -8. Let o = n + 9. What is the remainder when 9 is divided by o?
4
Let t = -6 + 9. Suppose 20 = 7*m - 2*m - t*p, 3*p + 19 = 4*m. Suppose 4*q + 12 = -4*d, -4*d + 4*q = -3*d - 17. What is the remainder when m is divided by d?
0
Let q = -36 - -86. Calculate the remainder when q is divided by 13.
11
Let s = 6 - 13. Let y(l) = 13*l - 6*l + l**2 + 2 + 0. Calculate the remainder when 3 is divided by y(s).
1
Suppose a - 7 + 42 = 0. Let o be 0 - (-3 + a)*1. Calculate the remainder when -3 + o - 1/(-1) is divided by 13.
10
Let m be 2/8 + 988/16. Let i be 3 + -6 + m + -2. Suppose -13 + i = 2*b. What is the remainder when b is divided by 12?
10
Suppose 4*i - 48 + 12 = 0. Suppose -5*q - 1 + 40 = -3*l, 2*q + l = i. What is the remainder when 10 is divided by q?
4
Let x(u) = u - 3. Let o be x(5). Suppose o*f - 12 = 4. What is the remainder when 15 is divided by f?
7
Calculate the remainder when 66 is divided by (44/(-12) + 3)/((-1)/21).
10
Suppose 47 = 3*n + 17. Let i(h) = h**3 - 11*h**2 + 9*h - 4. Let p be i(n). Let b = 23 + p. What is the remainder when 25 is divided by b?
7
Suppose -4*y + 6*y + 4*c - 42 = 0, 5*y - 117 = 2*c. What is the remainder when 91 is divided by y?
22
Let y(o) = -2*o**3 - o**2 + 5*o + 5. What is the remainder when 38 is divided by y(-2)?
3
Suppose 2*h - a = -383, -554 = 3*h - 2*a + 22. Let k = h - -327. Suppose -t + 176 = 5*g + 40, 5*g - k = -2*t. What is the remainder when g is divided by 14?
13
Let u(v) = -2*v + 6. Calculate the remainder when (-80)/(-3)*(-12)/(-5) is divided by u(-8).
20
Let i(l) = -2*l**3 - l**2. Let s be i(1). What is the remainder when 4/(s/2 + 2) is divided by 3?
2
Suppose 13 = 3*k + 2*c - 3, k = 5*c + 11. Calculate the remainder when 22 is divided by k.
4
Let v(h) = -5 - 2*h + 5 + 3 - h**3 - 5*h**2. Calculate the remainder when 37 is divided by v(-5).
11
Suppose 2*f + 4*z - 106 = f, -2*z = -3*f + 360. What is the remainder when f is divided by 24?
22
Suppose -2*q = -q - 10. Suppose 5*u - 4*u = 27. Calculate the remainder when u is divided by q.
7
Let l = -3 - -3. Suppose l = x + 4*x + 30. What is the remainder when 43 is divided by x/8 + (-91)/(-4)?
21
Let t = 29 + -18. Calculate the remainder when 19 is divided by t.
8
Let r(m) = 2*m + 5. Let l(b) = -3*b - 4. Let h(u) = -3*l(u) - 2*r(u). Let f be h(4). Let w = f + -12. What is the remainder when w is divided by 6?
4
Let b = 94 - 49. Calculate the remainder when 179 is divided by b.
44
Let g = -17 + 24. Calculate the remainder when 39 is divided by g/(-2)*1*-6.
18
Let v(f) = -3*f - 10. Calculate the remainder when 66 is divided by v(-9).
15
Suppose -t = 4*k - 20, -5*t - 8 = 3*k - 23. Let z(g) = -g**3 + 6 - 4 + 5*g + 0*g**2 + 0*g**2. What is the remainder when z(-3) is divided by k?
4
Let m = 72 - 49. Calculate the remainder when m is divided by 8.
7
Let m(i) = 2*i**2 + 0*i - 34*i**3