/8. Let w = r + 13. Calculate the remainder when z(2) is divided by w.
1
Let o = -28 - -47. What is the remainder when 56 is divided by o?
18
Let j = -39 + 70. What is the remainder when 121 is divided by j?
28
Suppose 0*a = -5*a + 20, 0 = -4*l + 4*a + 16. Calculate the remainder when 21 is divided by l.
5
Let o be ((-10)/(-4))/((-16)/(-32)). Let b = o - -1. Calculate the remainder when 22 is divided by b.
4
Let l(t) = t**2 - 8*t + 4. Let b be 4/(-10) + (-57)/(-5). Suppose 3*o - b = -q + 11, -2*q + 3*o = -53. Calculate the remainder when q is divided by l(9).
12
Let c(k) = 0 - 6 - 17*k + 8. What is the remainder when c(-1) is divided by 10?
9
Suppose 0*u - s = -4*u + 98, 4*s = -u + 33. Calculate the remainder when 72 is divided by u.
22
Let g(b) = -b**2 - 5*b - 2. Let i be g(-4). Suppose -i*j - j = -201. Calculate the remainder when j is divided by 23.
21
Let h(q) = -q**3 - 10*q**2 - 8*q + 8. What is the remainder when h(-10) is divided by 45?
43
Let s(b) = b + 49. Calculate the remainder when s(9) is divided by 15.
13
Let t(h) = -h**3 + 16*h**2 + 17*h - 12. Let r be t(17). Let j = -4 - r. Calculate the remainder when 23 is divided by j.
7
Suppose a - 13 = 6. Suppose 51 + 241 = 5*u - 4*g, 2*g - 50 = -u. What is the remainder when u is divided by a?
18
Let m be 36/(-10)*(-475)/38. Suppose 0 = 5*w + 4*i - 58, -2*w - i - m = -5*w. What is the remainder when 26 is divided by w?
12
Suppose 2*m = 16 + 52. Let i = 69 + -9. Suppose i = 8*f - 3*f. What is the remainder when m is divided by f?
10
Suppose 3*l - 4*t - 118 + 40 = 0, -5*l + 122 = -4*t. Calculate the remainder when l is divided by 12.
10
Let l(d) = d**2 - d + 25. Calculate the remainder when 73 is divided by l(0).
23
Suppose 0 = -5*i + a + 111 + 88, i + 4*a - 44 = 0. Calculate the remainder when i is divided by 7.
5
Let u = -47 - -86. Suppose 0 = -6*m + 3*m + 42. Calculate the remainder when u is divided by m.
11
Suppose -3*g - g = -20. Suppose 2*x - 3 = 23. What is the remainder when x is divided by g?
3
Let b = 127 + -190. Let i = b - -115. What is the remainder when i is divided by 14?
10
What is the remainder when 7 - -81 - (2 + 0) is divided by 11?
9
Let t(j) = j**2 - 3*j - 2. Let w be t(4). Suppose w*c + 3*d + 2 = 42, 3*d = 4*c - 62. Calculate the remainder when 33 is divided by c.
16
Suppose -6*p + 106 = -86. Calculate the remainder when 93 is divided by p.
29
Let b(n) = 66*n**2. Let d = 11 + -10. Calculate the remainder when b(d) is divided by 23.
20
Let k(p) = 60*p - 2. Calculate the remainder when k(3) is divided by 15.
13
Let z be (-1 - -1)*3/6. Let k = z - 0. Suppose k = 5*h - 12 + 2. What is the remainder when 4 is divided by h?
0
Let y = 23 - 16. What is the remainder when 25 is divided by y?
4
Suppose 8*g - 156 = 164. Calculate the remainder when g is divided by 11.
7
Let w = -3 + 2. Let r(x) = x**2 + 7*x + 9. What is the remainder when (4 - -2) + 2 + w is divided by r(-6)?
1
Let v(l) = 14*l + 3. Calculate the remainder when 64 is divided by v(1).
13
Suppose -2*t - t - 2*h = 2, 2*t - 3*h - 3 = 0. Suppose q = 4*m - 11, -2*m - 3*q + 1 - 6 = t. What is the remainder when 9 + 1*(-12)/3 is divided by m?
1
Let m(f) = 9*f**3 + f**2 + f - 1. Let b be m(1). What is the remainder when b*15/(-12)*-4 is divided by 13?
11
Suppose 3*k = k. Suppose k = y - 6*y + 30. Suppose 0 = -2*v - y + 34. Calculate the remainder when 27 is divided by v.
13
Let x(k) = -k**3 + 6*k**2 - 3*k - 5. What is the remainder when x(4) is divided by 8?
7
Let r(y) = 16*y**3 + y**2 - y. Suppose 0 + 9 = 3*x. Suppose 80 = 2*v - 4*z, 0 = 3*v - 8*z + x*z - 123. What is the remainder when v is divided by r(1)?
14
Let u(l) = 51*l**2 - 2*l + 2. Calculate the remainder when u(2) is divided by 34.
32
Suppose 3*c + 66 = 5*c + 3*n, -2*c + 5*n + 50 = 0. Calculate the remainder when 55 is divided by c.
25
Let i = -4 - -8. Let k = -9 + 5. Let l = 10 + k. Calculate the remainder when l is divided by i.
2
Let y = 71 + -25. Calculate the remainder when 227 is divided by y.
43
Let d be (-102)/(-5) + (-4)/10. Let u(w) = w**2 + 10*w - 6. Let y be u(-11). Suppose y = -n + d. What is the remainder when 28 is divided by n?
13
Let f(h) = h**2 - h + 4. Let o be f(4). Suppose 2*v + 2 = o. What is the remainder when 12 is divided by v?
5
Suppose 3*i + 5 = 4*i. Let u = i + 6. Calculate the remainder when 43 is divided by u.
10
What is the remainder when 13 is divided by (-6 - 0 - -5)/((-2)/4)?
1
Calculate the remainder when (-181)/(4/(-2) + 1) is divided by 46.
43
Let j = 22 + -16. Calculate the remainder when 16 is divided by j.
4
Let n(p) = -p**3 + 10*p**2 + 3. Let r be n(10). Suppose -k + 3*c - c = -64, r*c + 195 = 3*k. What is the remainder when k is divided by 17?
15
Suppose -6*p + 2*p = -84. Let j(s) = 2*s - 15. Let k be j(10). Calculate the remainder when p is divided by 10/k - (0 + -4).
3
Let v(i) = i**3 + 2*i + 15. Let x(p) = 2*p + 1. Let j be x(-2). What is the remainder when ((-172)/(-6))/((-2)/j) is divided by v(0)?
13
Suppose 0 = m - 2*m + 10. Let k = m + -3. Let o = 46 + k. What is the remainder when o is divided by 18?
17
Let i(l) = 72*l + 4. Calculate the remainder when i(2) is divided by 38.
34
Suppose z + 50 = -5*v, -25 = -z + 6*z. Let p(t) = -t**3 - 3*t**2 - 14. Calculate the remainder when p(-5) is divided by 1 + (4*v)/(-2).
17
Let b = 63 + 19. Calculate the remainder when b is divided by 17.
14
Suppose -4*k = -k + 4*t - 4, 2*k - 6 = -t. Suppose 5*w + 4*h - 31 = -0*h, -8 = k*w - 5*h. Suppose 4*n = -0*n + 20. What is the remainder when n is divided by w?
2
Let z = -4 + 38. What is the remainder when z is divided by 18?
16
Calculate the remainder when 33 is divided by 132/8 - (-1)/2.
16
Let m(s) = -3*s + 3. Let o be m(-5). Suppose o = 4*z - 114. Suppose 3*l + 0*l = z. What is the remainder when 21 is divided by l?
10
Let j = -21 + 34. Calculate the remainder when ((-2)/14)/1 + (-1040)/(-28) is divided by j.
11
Suppose -10 = x - 3*x, -l = x - 5. Suppose l = -n + 4*n. Suppose 2*p = -n*p + 90. What is the remainder when p is divided by 23?
22
Let t(x) = 3*x - 6. Let y(q) = 2*q**2 + 4*q + 1. Let s(p) = -p**2 + 8*p - 3. Let n be s(8). What is the remainder when t(6) is divided by y(n)?
5
Let w(k) = -k - 12. Let l be w(-14). Let d(s) = 19*s - 1. What is the remainder when d(l) is divided by 19?
18
Calculate the remainder when (32/(-20))/(0 - (-4)/(-10)) is divided by 3.
1
Suppose 3*c + 2*f - 22 - 14 = 0, -30 = -3*c - 4*f. Let d(n) = -19*n. Let g be d(-3). Let u = g + -17. Calculate the remainder when u is divided by c.
12
Let y(t) = -2*t + 2. Let h be (-9)/(-6)*(2 - 0). Suppose -h*v = -4*v + 37. What is the remainder when v is divided by y(-4)?
7
Let d(g) = -3*g - 3. Let y be d(-6). Let b = 59 + -38. Suppose 2*h - 46 = -3*a - b, -a - 4*h = -y. What is the remainder when a is divided by 4?
3
Let c(g) = -4*g - 6. Let d(z) = -9*z**2 + 1. Let n be d(-1). What is the remainder when c(n) is divided by 9?
8
Let t(r) = -r**3 - 3*r**2 - 4*r + 5. Let j(f) = f**2 + f + 1. Let h(q) = -4*j(q) + t(q). What is the remainder when 38 is divided by h(-6)?
12
Suppose -5*b = -z - 312, -3*z + 324 = -b + 6*b. What is the remainder when b is divided by 13?
11
Let w(g) = -g**3 + 3*g**2 + 5*g. Let o(f) = -f**3 + 12*f**2 + 2*f - 22. Calculate the remainder when w(4) is divided by o(12).
0
Let i be (-70)/15*(-6)/4. Suppose j + i = 27. Calculate the remainder when 57 is divided by j.
17
Suppose 2*w + 6 = -2*y - 6, w - 4*y + 6 = 0. Let o be (-45)/(-12)*(w - -2). Let c = -11 - o. What is the remainder when 10 is divided by c?
2
Let z be 26 + 1 + (1 - 3). Let i = -16 + z. Calculate the remainder when 1/(-1)*-16 - 1 is divided by i.
6
Let v(y) = y**3 - y**2 - 2*y - 3. Let r(u) = -u**2 - 7*u - 1. Let h be r(-6). Suppose -2*f + 29 = -h. Calculate the remainder when f is divided by v(3).
8
Let u = -1 - -1. Suppose -5*n + d + 81 = 16, u = 3*n - 5*d - 39. What is the remainder when n is divided by 5?
3
Let p(q) = q**2 - 7*q + 5. Let n be p(7). Suppose m = 3*i - 1, -n = -5*i + 3*m - 2*m. What is the remainder when 3 is divided by i?
1
Suppose 6 = 4*q - 3*q. What is the remainder when 26 is divided by q?
2
Let h be 0 - (3 - 6)/3. What is the remainder when 28 is divided by 4 - -3 - -3*h?
8
Suppose 4*r - 26 = 2*q, -4*r - 5*q + q = 4. Suppose 3*j - r*a - 28 = -7, 0 = 5