ulate the remainder when 108 is divided by a(8).
24
Suppose -8*o + 5711 = 5111. What is the remainder when 1649 is divided by o?
74
Suppose c + c + 18 = 0. Suppose -240 = 2*x + 3*x. Calculate the remainder when c/3 - (-3 + x) is divided by 17.
14
Suppose 97 = s - 2*c, 3*s - 2*c + 7*c - 291 = 0. Let j(w) be the first derivative of -27*w**2/2 - 2*w + 8. Calculate the remainder when s is divided by j(-1).
22
Let f = -66 - -164. Let r = -4 + -76. Calculate the remainder when f is divided by r/(-8 + 4) + 5.
23
Let p(b) = b**3 - 14*b**2 + 13*b - 44. Let d be p(13). Let t = 54 + d. Calculate the remainder when 33 is divided by t.
3
Suppose 4*i = 4*s + 5920, -4*i + 15*s - 10*s = -5922. Calculate the remainder when i is divided by 29.
28
Suppose 4*b - 110 = -b. Let v(z) be the third derivative of z**4/12 + 8*z**3/3 - 7*z**2. What is the remainder when b is divided by v(-5)?
4
Let h = 50 - 48. Suppose -3*l - 4*v + 28 = -l, -20 = -2*l - 2*v. Suppose -152 = -h*a - l*a. Calculate the remainder when a is divided by 7.
5
Let v = 220 + -198. Suppose 17 = h + 3*t, -2*h + 3 = 2*h - t. Let x(c) = 55*c - 2. What is the remainder when x(h) is divided by v?
20
Suppose -3*l + h + 6 = 0, 4*h - 15 = -l - 0*l. Suppose -d + 7 = 5*n, l*n = -d - 2*d + 9. Suppose 2*b - 1 = n. Calculate the remainder when 4 is divided by b.
0
Suppose -4*j = -d - 2*d - 209, 2*d + 141 = 3*j. Let u(l) = 17*l - 65. Calculate the remainder when u(11) is divided by (d + 1)/(4 - 6).
29
Let i = 4 - 3. Let t(x) = 9*x. Let u = 628 - 593. What is the remainder when u is divided by t(i)?
8
Suppose -158 = 6*y + 178. What is the remainder when 55 is divided by y/2*6/(-12)?
13
Let x = -53 - -41. Let c = -2 - x. Calculate the remainder when 59 is divided by c.
9
Let k be ((-1062)/(-24))/((6/32)/1). Let m = k - 137. Calculate the remainder when m is divided by 25.
24
Let j(f) = -f**2 + 8*f - 5. Suppose -12 - 9 = -3*w. Let o be j(w). Calculate the remainder when (-16)/12*(-21)/o is divided by 4.
2
Let l(y) = -y**2 - 4*y + 7. Let q = 2 + -2. Suppose q = 3*h + 10 + 5. Calculate the remainder when 5 is divided by l(h).
1
Let l = -1853 - -2177. Calculate the remainder when l is divided by 111.
102
Let m(r) = 43*r - 129. Calculate the remainder when 160 is divided by m(4).
31
Let f(p) = 3*p**3 - 7*p**2 - 123*p + 6. Let d = 11 - -17. What is the remainder when f(8) is divided by d?
26
Let h be (22/((-3)/(-3)))/1. Suppose -15 = 3*s, -3*s - 117 + h = -4*r. Let u = 3226 - 3215. What is the remainder when r is divided by u?
9
Let w(z) = 8*z + 170. What is the remainder when 130 is divided by w(-17)?
28
Suppose 2*p - 3 = 3. What is the remainder when 22 is divided by p - 7 - -3 - (-5 - 2)?
4
Suppose f = 5*b - 74, 5*b - 18 = 2*f + 55. Let r = 93 + -35. What is the remainder when r is divided by b?
13
Suppose -i + a = -10, 0 = 3*i - 0*a - 4*a - 34. Suppose -j = -o + i*o - 180, 5*o + 3*j - 190 = 0. What is the remainder when o is divided by 6?
5
Let z(q) = 2*q**2 - 23*q + 1. Let i be z(14). Let o = -19 + i. Calculate the remainder when o is divided by 14.
10
Let d be 104/(-2) - (13 - 11). Let z = 63 + d. Suppose 2*t - 3*p - 23 = 0, -4*t = -9*t - 2*p + 10. Calculate the remainder when z is divided by t.
1
Let d(k) = k**3 + 4*k**2 - 2*k - 5. Suppose 2 = -3*t - 10. Let y(q) = q + 10. Calculate the remainder when y(-6) is divided by d(t).
1
Let g = 848 + -836. Calculate the remainder when 33 is divided by g.
9
What is the remainder when (29/6)/((-51)/(-306)) is divided by 103/7 + 2/7?
14
Let v(g) be the second derivative of -g**4/12 - 10*g**3/3 + 21*g**2 - 17*g. What is the remainder when v(-19) is divided by 32?
29
Let v = 19 - 0. Calculate the remainder when v is divided by (-11 + 0)*23/(-23).
8
Suppose -9*s = -2*s - 35. Suppose s*n - 9*n + 228 = 0. Calculate the remainder when n is divided by 30.
27
Suppose -2*t + 6 = 0, 5*t - 14 = -y + 16. Calculate the remainder when 284 is divided by y.
14
Let r(t) = 2*t**3 - 66*t**2 - t + 43. Calculate the remainder when 108 is divided by r(33).
8
Let a = -235 + 250. Suppose 2*u = -3*f + 133, 6*f - 2*f - 2*u = 154. Calculate the remainder when f is divided by a.
11
Let o = -116 - -216. What is the remainder when 40 is divided by 60*((-9)/(-12) - 35/o)?
16
Let d = 11 - 7. Let j(t) = -t**2 + 6*t - 6. Let l be j(d). Suppose 6*q - 213 = 3*q - 3*b, 0 = 2*q - l*b - 158. What is the remainder when q is divided by 19?
18
Suppose 0 = 65*w - 51*w - 112. Calculate the remainder when 138 is divided by w.
2
Suppose -288 = -21*y + 321. Calculate the remainder when 97 is divided by y.
10
Let v(a) = 50*a**2 - 54*a + 53. Let j = 7 - -19. What is the remainder when v(1) is divided by j?
23
Suppose 4880 = 10*i - 4*r, 0 = 4*i + 16*r - 13*r - 1929. Calculate the remainder when i is divided by 41.
35
Let t = -2652 - -2807. Let c = 0 - -26. Calculate the remainder when t is divided by c.
25
Let w = -2 - -13. Calculate the remainder when -5*((-2064)/(-30))/(-8) is divided by w.
10
Let o = -28 - -22. Let k(z) = z**3 + 8*z**2 + 11*z + 9. Calculate the remainder when 56 is divided by k(o).
11
Calculate the remainder when 50 is divided by 91 + -57 + -3 + -2 + 1.
20
Suppose 5*x + r = 3*x + 57, 5*r - 145 = -5*x. Let c = 42 - x. What is the remainder when c is divided by 3?
2
Suppose 3*y - 212 = x - 6*x, -12 = -3*x. Let l = y + -61. Calculate the remainder when 3 is divided by l.
0
Let p be 6/7*(-35)/(-10). Suppose 8*y - p*y = 300. Suppose -y = -0*z - 6*z. Calculate the remainder when 19 is divided by z.
9
Let c(h) = -h**3 - 8*h**2 + 15*h + 11. Let q(j) = j**2 + 11*j + 20. Let p be q(-6). Calculate the remainder when c(p) is divided by (-3 + 5)/(1/8).
13
Suppose -2*w + 38 = -2*s, 3*s - 2*w = 3*w - 67. Suppose 2*n = n + 906. What is the remainder when s/(-49) + n/14 is divided by 17?
14
Let m = -530 + 784. What is the remainder when m is divided by 64?
62
Let p be ((-2)/((-12)/15))/(2/48). What is the remainder when (-168)/36*p/(-14) is divided by 13?
7
Let p(m) = -m + 22. What is the remainder when p(12) is divided by 4?
2
Let c(v) = -22*v + 1. Let p be c(2). Let w = 75 + p. What is the remainder when 127 is divided by w?
31
Let h be -11 - (-1 + -2 + 2). Let k(i) = i**3 + 4*i**2 + 6. What is the remainder when (-6)/(-1)*(-55)/h is divided by k(-4)?
3
Let d be 118 - (0 - 2) - 0. Suppose 191 = 3*q + 26. Let h = d - q. What is the remainder when h is divided by 22?
21
Let o(s) = -s**2 + 25*s + 158. What is the remainder when o(13) is divided by 63?
62
Suppose 2*c - 6*c = 0. Suppose c = n - 3*n + 24. Calculate the remainder when 58 is divided by n.
10
Suppose -3*k + p = -5*k + 34, 51 = 3*k - 4*p. What is the remainder when 67 is divided by k?
16
Let x = 1465 - 1354. What is the remainder when x is divided by 14?
13
Suppose 0 = 3*j - 30 - 18. Suppose -2*h = -0*q + 3*q - 34, 3*h = -3*q + 33. Suppose -67 = -5*l - q. Calculate the remainder when j is divided by l.
5
Let t(d) = -d**3 + 9*d**2 + 36*d - 47. Calculate the remainder when t(11) is divided by 30.
17
Let j(t) = 8*t - 35. Calculate the remainder when j(11) is divided by 23.
7
Suppose d - 37 = -w - 5, 160 = 5*w - d. What is the remainder when w is divided by 21?
11
Let w(k) = -k**3 - 6*k**2 - 4*k - 2. Let g(b) = -2*b**2 - 51*b - 118. What is the remainder when g(-19) is divided by w(-6)?
19
Let q be 3 - ((-4)/(-14) - 24/84). What is the remainder when ((-8)/q)/((-4)/174) is divided by 40?
36
Let w = -49 + 51. Suppose w*r - 5*x - 13 = 0, 2*r + 2*x + 2*x - 40 = 0. Calculate the remainder when 27 is divided by r.
13
Suppose -3*v = -4*k + 46, -37*v + 38*v = -k + 15. Let a(p) = -10*p - 6. Calculate the remainder when a(-4) is divided by k.
8
Suppose -3*t + 3*w - 7*w + 29 = 0, 0 = 5*t + w - 71. Suppose 614 = t*n + 104. Let u = 33 - 21. Calculate the remainder when n is divided by u.
10
Suppose 0 = -2*w + 3*x + 30, -3*x = -4*w - 4*x + 32. Let k(q) = -q**3 + 5*q**2 + 4*q - 12. Calculate the remainder when ((-15)/w)/((-2)/36) is divided by k(5).
6
Suppose 2*d = -2*z - 4, -4*d + 6*z - 44 = z. Calculate the remainder when (-11)/((-99)/27)*11 is divided by (4/(-10))/(d/180).
9
Let z(a) = 2*a**3 - 81*a**2 + 53*a + 22. What is the remainder when z(40) is divided by 32?
30
Suppose -22*l + 473 = -33. What is the remainder when 76 is divided by l?
7
Let d(t) = 2*t**2 - 5*t - 3. 