 the remainder when z(-12) is divided by 8?
5
Suppose 8*d = -5*r + 11*d + 32, -4*d + 32 = 4*r. What is the remainder when 1859 is divided by r?
4
Suppose -3*v = 2*v - 40. Let j(t) = -5*t**2 + 4*t**2 - t**3 + 3*t**3 - 3*t + 1 + 2*t**2. Calculate the remainder when j(2) is divided by v.
7
Let o = 21 + -16. Let i(s) = o*s**2 + 2 + s - 2*s - 5 - s. Calculate the remainder when i(-4) is divided by 22.
19
Let b(q) = -22*q - 1. Let i be b(-3). Suppose -4*j = 5*y + 488, -y + 2*j - 41 = i. Let r = 165 + y. Calculate the remainder when r is divided by 33.
32
Suppose 0 = 4*u + 2*i - 0*i - 150, -4*i = u - 41. What is the remainder when u*(8/(-4) + 3) is divided by 21?
16
Let c = -31 - -50. Let r(j) = 12*j**2. Let g be r(1). Let a = g - 2. What is the remainder when c is divided by a?
9
Let s = -2329 - -2883. What is the remainder when s is divided by 15?
14
Let q = 11 + 7. Suppose -5*k + q = -2*k. Calculate the remainder when 15 is divided by k.
3
Let s(m) = 41*m + 293. Calculate the remainder when s(-5) is divided by 23.
19
Suppose 5*g - 85 = -2*c, g - 17 = -3*c - 2*c. Calculate the remainder when g is divided by (-73)/(-8) - (-5)/(-40).
8
Suppose 122*h - 94*h - 4620 = 0. What is the remainder when h is divided by 49?
18
Let g(i) = 4*i + 31. Let l be g(-9). Let t(m) = m**2 - 3*m - 5. Calculate the remainder when 103 is divided by t(l).
33
Let q = -275 + 278. What is the remainder when 47 is divided by q?
2
Suppose 15 = 2*f - 7. Suppose -18*b = 43*b - 36*b - 1325. What is the remainder when b is divided by f?
9
Let g = 87 + -9. Suppose -3*h - 5*i = -37, h = -h + 3*i + 12. Let t = 25 - h. Calculate the remainder when g is divided by t.
14
Let u be (4 - 5/2)*8. Suppose 0 = -3*k + 3*m + u, 0 = 2*m + 1 + 1. Suppose n = 2*n - 10. What is the remainder when n is divided by k?
1
Let c(o) = 13*o**2 + 11*o - 35. Let l(w) = -3*w**2 - 3*w + 9. Let q(g) = 2*c(g) + 9*l(g). Calculate the remainder when 21 is divided by q(-5).
10
Let x = 280 + -246. What is the remainder when 87 is divided by x?
19
Suppose 3*a = -0*a - 5*p + 173, -3*p + 51 = a. Calculate the remainder when a is divided by 17.
15
Suppose 3*v = 8*v + 70. Let c = 57 + v. What is the remainder when c is divided by ((-66)/(1 + 2))/(-2)?
10
Let g = 371 + -327. Calculate the remainder when 390 is divided by g.
38
Suppose 24 = -3*v - 66. What is the remainder when 29 is divided by (-18)/v - (-48)/10*3?
14
Let i(h) = h + 122. What is the remainder when i(-18) is divided by 30?
14
Let c = 147 + -94. Suppose -y + 8 = 2*m + 26, -4*m - 72 = 4*y. Let b(x) = x + 32. What is the remainder when c is divided by b(y)?
11
Suppose -3*c + 5*t + 0 = -18, 0 = -3*c - t. Suppose 4*v = 5*x - v, -3*v = -2*x - c. Calculate the remainder when x is divided by 1.
0
Suppose -2*x - 6 = -4*x. Suppose c = 3*k - 72, 7*c - x*c + 113 = 5*k. Calculate the remainder when k is divided by 8.
1
Let p(r) = 6*r**2 + 3*r - 1. Suppose -y = -0*y - 5*n + 12, 0 = -4*y + 2*n + 6. What is the remainder when p(y) is divided by 16 + (-1 + (-3)/(-6))*0?
14
Let u = -23 + 37. Suppose 0 = u*z - 19*z + 65. What is the remainder when 22 is divided by z?
9
Suppose -2*b - 2 = 0, -6*f - 3*b + 7 = -f. Suppose a + 0*a = 15. Calculate the remainder when 42 + (-6)/(-5 + f) is divided by a.
14
Suppose -2*v - 3*h = -16, 3*v = 4*v - 2*h - 22. Let z(k) = k**2 - 14*k + 1. Let g be z(v). What is the remainder when 4 + 2/(g - -1) is divided by 3?
2
Let v be 81/(-6)*(-42)/9. Suppose 18*w = 21*w - v. What is the remainder when 5 is divided by 3/(-2)*(-56)/w?
1
Suppose -3*a - 6 = 0, -3*a + 126 - 792 = -3*w. Calculate the remainder when w is divided by 38.
30
Let p(b) = -2*b + 3*b**3 + 3*b**3 - 7 - 2*b**2 - 5*b**3 + 2. Let j be p(4). Calculate the remainder when j*6/(-9)*-3 is divided by 10.
8
Let n(k) = -13*k + 2. Let i = -5 + 4. What is the remainder when 28 is divided by n(i)?
13
Let l = -21 - -26. Suppose -1 + 8 = -b + 3*d, -5*b - l*d + 65 = 0. Let m = 25 + -3. What is the remainder when m is divided by b?
6
Suppose -n + l = n + 178, 75 = -n + 4*l. Let k = n - -191. Suppose 8*t = 3*t + k. What is the remainder when t is divided by 11?
9
Suppose -v + 2*b + 46 = 0, -48*v - 94 = -50*v + 2*b. What is the remainder when 64 is divided by v?
16
Let g = 386 - 299. What is the remainder when g is divided by 35?
17
Let g(h) = 2*h**2 - 2*h - 6. Let c be g(-2). Suppose -v + 4*f = -5*v - 8, -2*v - 10 = 4*f. What is the remainder when c + -4 + 20*v is divided by 12?
10
Let p(g) = -2*g - 8. Suppose -200 = -6*v + 2*v. Let r be 14/42 - v/6. Calculate the remainder when p(r) is divided by 5.
3
Suppose -r + 7*h = 10*h - 49, -2*r = 5*h - 99. What is the remainder when r is divided by 16?
4
Suppose -2*f + 32 = -4*o - 24, 3*f = o + 14. Calculate the remainder when 1*36*6/4 is divided by o/(-21)*114/4.
16
Suppose 58 = 6*c - 2. Suppose -l + 29 - c = -4*x, -5*x = l + 17. Calculate the remainder when 9 is divided by l.
0
Suppose 5*o - 2*h - 70 = 3*h, 2*o - 5*h - 31 = 0. Let r = -22 + o. Let y(k) = -k + 10. What is the remainder when 36 is divided by y(r)?
17
Let k(g) = g**3 - 13*g**2 + 6*g - 4. Calculate the remainder when k(13) is divided by ((-1240)/(-52) - -1) + 4/26.
24
Suppose 59*x + 29*x = 29480. Calculate the remainder when x is divided by 24.
23
Let g(y) = y**3 - 4*y**2 - 3*y - 30. What is the remainder when 77 is divided by g(6)?
5
Suppose -755 = -3*d + 2*b, d - 265 = 2*b + 2*b. Calculate the remainder when d is divided by 21.
18
Suppose -32 = -2*v + 46. Let f(z) = 12*z**2 + 2*z. Let u be 4 + ((-14)/21 - (-1)/(-3)). Calculate the remainder when f(u) is divided by v.
36
Suppose 18*h - 9*h + 99 = 0. Let z = 38 + h. Calculate the remainder when z is divided by (0 + -1)/1 - -7.
3
What is the remainder when ((-4)/12)/((-3)/2259) is divided by 85?
81
Let m be 3 - (47 + -4*3/(-12)). Calculate the remainder when (-4)/(-18) - (-3 - (-6245)/m) is divided by 16.
14
Suppose 5*u = -v + 272, -5*u = -5*v + 851 + 599. Calculate the remainder when v is divided by 150.
137
Let l(b) = 2*b + 25. Let f(a) = a**3 - 7*a**2 + 15*a - 16. Let r be f(5). Calculate the remainder when 169 is divided by l(r).
40
Calculate the remainder when 808 is divided by -4 - 3*(-522)/27.
52
Let h = 644 - 257. Suppose 8*d - 69 - h = 0. Calculate the remainder when d is divided by 12.
9
Let b = -45 + 55. Suppose 5*h + b*t = 5*t + 75, -h + 4*t = -40. Calculate the remainder when 32 is divided by h.
12
Let k(g) = -g**3 - 6*g**2 - 7*g - 10. Let q be k(-5). Suppose -2*i = q, 0 = -2*j - i + 3*i + 14. What is the remainder when 7*2 + 1 + -2 is divided by j?
6
Suppose k - 44 + 3 = 0. Let n = -4 - -27. What is the remainder when k is divided by n?
18
Suppose -3*k = -3*m + k - 112, 0 = m + 3*k + 46. What is the remainder when 80 is divided by (-16)/m + (-133)/(-5)?
26
Suppose 3*b = 4*c - 299, 0*c + 2*c = -4*b + 166. Let w = 28 + 72. Suppose 0 = 20*p - 25*p + w. What is the remainder when c is divided by p?
17
Suppose 0 = 14*h - 25715 + 4029. What is the remainder when h is divided by 62?
61
Suppose -4*f + 52 = 4*c, -5*c - 32 = -7*c + 4*f. Calculate the remainder when 250 is divided by c.
12
Let g = 16 - 14. Let m be 12/4 + (-34 - g). What is the remainder when 11/m - 152/(-6) is divided by 13?
12
Let r(x) = -x**3 + 17*x**2 - 19*x + 9. Let a(t) = -t. Let g(s) = -6*a(s) + r(s). What is the remainder when g(16) is divided by 10?
7
Let t be -3 - (-3)/(-3)*-1. Calculate the remainder when (115/t)/(-5)*2 is divided by 66/(-165) - (-42)/5.
7
Suppose -l = l + 3*o - 72, -3*o = 0. Calculate the remainder when 48 is divided by l.
12
Let b be 5/(-10) - (21/(-6) - 3). Let v(l) be the first derivative of l**4/4 - 4*l**3/3 + l**2 - 16*l + 4. What is the remainder when v(b) is divided by 23?
22
Calculate the remainder when 9390/100 + 42/20 + -2 is divided by 2.
0
Let c(i) = -2*i**3 - 8*i**2 - 3*i + 7. What is the remainder when 427 is divided by c(-5)?
67
Let x(a) = -a**3 - 34*a**2 - 67*a - 19. Calculate the remainder when x(-32) is divided by 4.
1
Suppose -3*c + 2*k = -99, -15 = 2*c - 3*k - 86. Calculate the remainder when 85 is divided by c.
23
Let k(w) = 3*w**3 - 4*w**2 - 4*w - 6. Let z(b) = -8*b**3 + 13*b**2 + 12*b + 19. Let s(c) = 11*k(c) + 4*z(c). What is the remainder when s(-7) is divided by 12?
7
Let u = -1 + 9. Suppose -u - 82 = -5*l. Let d = -36