. Calculate the remainder when 55 is divided by z.
26
Suppose 0 = -4*l + 2*p + 266, p - 2 = -3. Suppose -x - l = -5*m, -m = m - 4*x - 30. What is the remainder when m is divided by 8?
5
Suppose 0*q = -3*q. Suppose -g + 20 = 3*x, -x + q = 1. Calculate the remainder when 45 is divided by g.
22
Let y(a) = -a**2 - 15*a + 29. Let z(j) = 3*j**2 - 3*j + 1. What is the remainder when z(-3) is divided by y(-16)?
11
Suppose -4 = -g + 15. Suppose 0 = -4*y + 41 + g. Calculate the remainder when 43 is divided by y.
13
Suppose -5*p + 32 = -4*p. Suppose -5*z - 7 + 22 = 0. Suppose -3*j + 2*k = -41, 4*j - 60 = z*k + k. Calculate the remainder when p is divided by j.
10
Suppose 0 = -2*r + 21 - 1. Calculate the remainder when r is divided by 7.
3
What is the remainder when 29 is divided by 4 + 84/(-20) + (-273)/(-15)?
11
Let q be 1/2*(5 - 5). Suppose q = -4*f - 3*g + 4*g + 162, f + 2*g = 45. What is the remainder when f is divided by 14?
13
What is the remainder when 71 is divided by -2 + 4 - 4 - -28?
19
Let b(i) = -i**3 + 6*i**2 - i + 6. Let g be b(6). Suppose 2*a - 2 + g = 0. Calculate the remainder when 37 is divided by a/((-1)/(-13) + 0).
11
Let q(o) = -6*o**3 - o - 1. Let y be q(-1). Let k = -186 + 320. Calculate the remainder when 25 is divided by y/(-15) + k/10.
12
Suppose 14 = -4*d + 6*d. Calculate the remainder when 20 is divided by d.
6
Suppose s + 96 = -2*s. What is the remainder when 2 is divided by (s/(-24))/((-2)/(-3))?
0
Calculate the remainder when -74*-3*(-1)/(-6) is divided by 11.
4
Suppose 2*c + c - 66 = 0. Calculate the remainder when (10 - -32)/(1 - 0) is divided by c.
20
Let c(w) = w**3 + 7*w**2 - 3*w + 13. Calculate the remainder when c(-7) is divided by 18.
16
Let v(s) = -s**3 - 8*s**2 - 3*s - 2. Calculate the remainder when 63 is divided by v(-8).
19
Let c(w) = 3 + 11*w**2 + 3 + 2*w**3 - w**3 - 12*w. Let k be c(-12). Let h(n) = 2*n + 4. Calculate the remainder when 30 is divided by h(k).
14
Suppose -210 = -3*j + 54. What is the remainder when j is divided by 23?
19
Suppose 0 = -2*t - 4*r + 68, 3*r - 42 = -t + 5*r. What is the remainder when 111 is divided by t?
35
Suppose 2*y + 40 = 6*y. What is the remainder when y is divided by 4?
2
Suppose h - 3*t = -5*t - 2, 2*t + 2 = -4*h. Suppose l - 3*n - 46 = h, -230 = -5*l + 4*n - 7*n. Calculate the remainder when l is divided by 16.
14
Let q = -65 - -85. What is the remainder when 59 is divided by q?
19
Let s(k) = k**2 + 15*k + 10. Let l be 2/(-10) + 207/(-15). Calculate the remainder when s(-16) is divided by (l/(-3))/(8/24).
12
Let y(w) = w**3 - 3*w**2 + 3*w - 3. Let x be y(3). Let f = x - 2. What is the remainder when f is divided by 3?
1
Let j = -55 + 75. Calculate the remainder when 58 is divided by j.
18
Suppose -4*b + 4 = 2*q, -b = -0*b - 4. Calculate the remainder when 3 + (-288)/(-21) + (-2)/(-7) is divided by (4/q)/((-1)/9).
5
Let z(r) = r**3 - 9*r**2 + 8*r + 7. Suppose -h + 5*h - 32 = 0. What is the remainder when (-2)/(-7) - (-820)/70 is divided by z(h)?
5
Calculate the remainder when (6/30)/(2/970) is divided by 20.
17
Suppose 14 = 7*i - 56. What is the remainder when 16 is divided by i?
6
Let x(f) = -f**2 + 12*f - 5. What is the remainder when x(7) is divided by 16?
14
Let t(j) = -j. Let c(y) = -12*y - 2. Let x(w) = c(w) - 10*t(w). What is the remainder when 61 is divided by x(-9)?
13
Suppose -h - 154 = -5*q - 0*h, -4*q + 129 = 5*h. Let p(u) = 2*u + 4. What is the remainder when q is divided by p(6)?
15
Let v(j) = -j**3 - 11*j**2 - 13*j - 7. Let p = -62 + 152. What is the remainder when p is divided by v(-10)?
21
Let i(g) = -6*g - 2. Let b be i(4). Let x = -13 - b. Calculate the remainder when 38 is divided by x.
12
Let u(y) = y**3 - 12*y**2 + 12*y - 4. Let s be u(11). Let b(k) = 3*k - 10. Calculate the remainder when 32 is divided by b(s).
10
Let r = 11 - 6. Suppose -r*s = -g - 70, -3*g = g. Let d = 51 + -24. What is the remainder when d is divided by s?
13
Let o be (-4)/18 - 40/(-18). Let x(v) = 0*v**2 - v**3 + 11*v + 5 - 2*v**2 + 10*v**o. What is the remainder when x(9) is divided by 8?
7
Suppose -p + 32 - 5 = 0. What is the remainder when 52 is divided by p?
25
Suppose 3*x + 12 = -x, 5*r - 484 = 3*x. Suppose 4*u - r = -u. Let o = u + -10. What is the remainder when 26 is divided by o?
8
Suppose 2*q = -1 - 5. Let g(k) = 5*k**2 - 2. Calculate the remainder when g(q) is divided by 22.
21
Let y(n) = 3*n - 6. Let k be y(4). Let a be 3/k - (-6)/4. Suppose 0 = -l + a*l - 16. Calculate the remainder when l is divided by 6.
4
Let a = 9 + -4. Let m(l) = 6*l - 6. What is the remainder when m(a) is divided by 13?
11
Let f = 59 - 2. What is the remainder when 340 is divided by f?
55
Suppose 3*j - 50 = -2*j. Let f = 50 + -22. What is the remainder when f is divided by j?
8
Suppose 14 - 5 = -3*s, 5*g - 1 = -3*s. What is the remainder when g is divided by 2?
0
Let d = 24 - 43. Let n be -2 - (d - (0 + -2)). Suppose -2*r + 3*p = r - n, 3*p + 12 = 2*r. Calculate the remainder when r is divided by 2.
1
Let j = -3 + 5. Suppose 4*m + 12 = -4*w, w = j*m - 7 - 2. Suppose -2*z + 4*z = -2*o + 52, 0 = -z - m*o + 26. What is the remainder when z is divided by 9?
8
Let o = -43 + 57. Suppose 2*c - 4*l = 124, 3*c - 5*l + 196 = 7*c. Calculate the remainder when c is divided by o.
12
Let u(n) = n**2 - 10*n + 3. Let m(w) = w - 1. Let z(k) = -3*m(k) - u(k). Calculate the remainder when z(5) is divided by 6.
4
Suppose 0*l - 18 = -2*y + 2*l, -3*y = -5*l - 29. Calculate the remainder when 21 is divided by y.
5
Suppose -2*s - 2*s + 64 = 0. Calculate the remainder when (-186)/4*18/(-27) is divided by s.
15
Let g(k) = k**2 + 16*k + 67. What is the remainder when 50 is divided by g(-9)?
2
Let v(y) = 6*y**3 + 8*y**2 - 12*y + 17. Let f(h) = -2*h**3 - 3*h**2 + 4*h - 6. Let k(x) = 17*f(x) + 6*v(x). Calculate the remainder when 57 is divided by k(3).
12
Let g = 8 + -18. Let h = 15 - g. Calculate the remainder when h is divided by 9.
7
Let b(u) = 8*u - 3. Let q = 12 - 7. Let y be (-1)/q - 104/(-20). Calculate the remainder when b(y) is divided by 13.
11
Suppose 11*x - 2*x = 297. Calculate the remainder when x is divided by 13.
7
Let p = 12 + 0. Suppose 3*k - 6 = p. Calculate the remainder when 10 is divided by k.
4
Suppose -3*w - 3*f + 51 = w, -5*w + 2*f = -58. What is the remainder when w is divided by 7?
5
Let k(b) = -9*b**3 - 4*b - 6. Let a(j) = 8*j**3 + j**2 + 4*j + 5. Let n(q) = -4*a(q) - 3*k(q). What is the remainder when n(-2) is divided by 11?
8
Let b(q) be the first derivative of q**4/4 + 4*q**3/3 + q**2 - 2*q + 1. Calculate the remainder when b(-2) is divided by (8/(-10))/((-2)/5).
0
Suppose 2*n - 5*z = 36 - 5, 2*n - 4*z - 36 = 0. Let c = 20 + -34. Let x = 24 + c. What is the remainder when n is divided by x?
8
Suppose 3*t = -s + 87, 0 = -2*t + 2*s - 7*s + 58. Calculate the remainder when t is divided by 11.
7
Let h be 18/15*30/12. Suppose -p + 2 = p. Calculate the remainder when p is divided by (-6)/h - -3*1.
0
Let p = 136 + -72. What is the remainder when p is divided by 35?
29
Suppose -4*n + 32 = p, -16 + 0 = -2*n - 2*p. Suppose -10 = -3*a + n. What is the remainder when 11 is divided by (4/a)/(-1)*-9?
5
Let k = 32 - -85. What is the remainder when k is divided by 17?
15
Let h(x) = 47*x + 9. Let r be h(9). Suppose -167 = 5*n - r. Calculate the remainder when n is divided by 18.
17
Suppose 3*l - 17 + 44 = 2*f, 9 = f + 3*l. Suppose 5*y = a - 2*a + 97, 4*a = -f. What is the remainder when 77 is divided by y?
17
Let v = 15 + -14. What is the remainder when 3 is divided by v?
0
Suppose a = 2*a - 13. Suppose -2*k + 3*k = -2*o + 4, -2*o + 3*k = 12. Suppose o = 3*h + 7 + 5, 4*h + 52 = c. What is the remainder when c is divided by a?
10
Suppose 5*v = o + 266, 4*v + o - 16 = 204. Calculate the remainder when 159 is divided by v.
51
Let x = -13 - -23. Suppose 0 = -4*h - 3*w + x + 8, 8 = 2*h + w. Suppose -5*z + 17 = -2*d - 5, 0 = 2*z - 4*d + 4. What is the remainder when z is divided by h?
0
Suppose j + 0 + 6 = 0. Let o be ((-4)/3)/(j/9). Calculate the remainder when 40 is divided by (-82)/(-6) + o/6.
12
Let k = -82 - -144. Let n(r) = r + 11. What is the remainder when k is divided by n(5)?
14
Suppose 3*f - 257 = -95. Calculate the remainder when f is divided by 14.
12
Let n(h) = -h**3 - 8*h**2 + 2*h. Let a = 17 + -26