5. Let z(y) = -y**3 - 4*y**2 - 4*y. Let b be z(-3). Suppose -k - 26 = -b*k. Calculate the remainder when g(9) is divided by k.
9
Let b(n) = -3*n**2 + 63*n + 36. What is the remainder when 780 is divided by b(12)?
60
Let m(x) = -x**3 + 51*x**2 - 413*x - 30. What is the remainder when m(14) is divided by 363?
351
What is the remainder when 258 is divided by 1010/90 + (18/(-45))/((-45)/(-25))?
5
Suppose -t + 3*y = -162, t + 56*y = 54*y + 167. What is the remainder when t is divided by 75?
15
Let x = 17715 + -16399. What is the remainder when x is divided by 20?
16
Let l = 38 - 36. Suppose 2*a = -l*a + f + 612, 0 = 4*a - 5*f - 596. Suppose -2*x + 32 + a = 0. Calculate the remainder when x is divided by 24.
21
Let m(c) = c**3 - 4*c**2 + 2*c + 7. What is the remainder when 1032 is divided by m(4)?
12
Let c(m) = 26*m - 140. Let q be c(23). Suppose -q + 101 = -7*w. What is the remainder when w is divided by ((-26)/6)/(1/(-3))?
12
Let o be (22 - 0)*(-47)/94. Let y(f) = f**2 - 28. Calculate the remainder when y(o) is divided by 27.
12
Let v(w) = -w**3 + 3*w + 7 - 3*w**2 + 5*w - 9. Let k(m) = -4*m - 41. Let i be k(-9). What is the remainder when 23 is divided by v(i)?
7
Suppose -2*s + 1871 = 5*x - 2228, -4*s = 4*x - 3296. What is the remainder when 846 is divided by x?
29
Let q = 382 - 267. Let w = -107 + q. Suppose -2*v + 42 = 3*z, 0 = -2*v + 3*z + 26 - w. Calculate the remainder when 100 is divided by v.
10
Let j(x) = -x**3 + 37*x**2 + 88*x - 42. Suppose -2*q - 2*s + 76 + 12 = 0, 5*q - 205 = -2*s. What is the remainder when j(q) is divided by 89?
81
Suppose 10 - 1 = 3*s + 5*a, 4*a = 4*s - 12. What is the remainder when (-13)/((-2912)/16160) + (13/7 - 1) is divided by s?
1
Let s(h) = 114*h**2 + 5*h - 8. What is the remainder when s(-2) is divided by 17?
13
Let s(u) = -u**3 - 2*u**2 - 2*u + 2. Let b be -4*(10/(-12) - (-5)/(-30)). Suppose 8*i - 984 = -b*i. Calculate the remainder when i is divided by s(-3).
14
Suppose b = 2*b - 3*n - 83, -3*b - 3*n = -261. What is the remainder when 301 is divided by b?
43
Let q(z) = -2*z**2 + 9*z + 9. Let k be q(5). Suppose -k*p + 143 = 5*r, -9 = -p + 4*p. What is the remainder when 122 is divided by r?
29
Calculate the remainder when 95 is divided by (-568)/71 + (20 - 8).
3
Let w(y) = 4*y**3 - 27*y**2 + 34*y - 28. Calculate the remainder when w(7) is divided by 76.
31
Let v(g) = -7*g + 109 + 4 + 84 - 3. What is the remainder when 28 is divided by v(27)?
3
Suppose 9*p = 21*p + 84. Let a(s) = 3*s**2 + 11*s + 1. What is the remainder when a(p) is divided by 36?
35
Let i be 12/(-14)*(-14)/(2 - 0). Suppose -i*c = -4*c - 152. What is the remainder when c is divided by 26?
24
Let s = 239 - 232. Suppose 2*x + 136 = -14*a + 19*a, -5*x + 37 = 2*a. Calculate the remainder when a is divided by s.
5
Suppose -2*u + 570 + 3454 = 3*j, -3*u = -3*j - 6096. What is the remainder when u is divided by 145?
139
Let g(z) be the second derivative of 0 + 13*z - 4/3*z**3 - 1/12*z**4 - 5/2*z**2. What is the remainder when g(-4) is divided by 6?
5
Let k be (-95355)/(-104) - 3/(-24). Suppose -13*i + k + 1124 = 0. Calculate the remainder when i is divided by 33.
25
Let d = 11 + -6. Suppose -d*b - 38 = 17. Let u = 16 + b. Calculate the remainder when 13 is divided by u.
3
Let u(d) = d - 1. Let j be u(11). Suppose 3*k = -j*y + 9*y + 92, 15 = 5*k. What is the remainder when y is divided by 12?
11
Suppose 0 = -2*t - 2*y + 20, 0*y = 5*t - y - 20. Let z(h) = 38*h + 37. Calculate the remainder when z(0) is divided by t.
2
Let g be ((-1 + -1)/2)/(12/(-60)). Let h(v) = 9*v + 12. Let u(c) = -c - 1. Let l(f) = -3*h(f) - 36*u(f). Calculate the remainder when l(g) is divided by 12.
9
Let h = -158 - -161. Suppose 8*b = 93 + h. Calculate the remainder when (-2)/(-4) - -5*39/6 is divided by b.
9
Let z = 148 + -354. Let s = z - 85. Let l = -71 - s. What is the remainder when l is divided by 56?
52
Let k be (1 + 0)/(26/2080). Suppose 2*h + k = -0*t + 4*t, 0 = -t - 4*h + 20. What is the remainder when t is divided by 7?
6
Suppose -5*o + 160 = -5*g, -41 = -o - 10*g + 8*g. Let w(q) = -4*q - 3. Let j be w(6). Let d = o + j. Calculate the remainder when 21 is divided by d.
5
Let g be -3 + 3*5/(-30)*90. What is the remainder when 96 is divided by ((-112)/g)/(1/15)?
26
Suppose 0 = 20*q - 403 - 1037. Suppose 4*g - q = -8*y + 6*y, 2*g - 52 = 3*y. Calculate the remainder when 159 is divided by g.
19
Suppose 37*g - 42*g + 3*o = -1683, -4*g - 5*o + 1302 = 0. Let i(s) = 8*s**2 + 3*s + 2. What is the remainder when g is divided by i(-2)?
25
Let x be ((-720)/3)/(-2*(-6)/24). Let d = x + 508. Calculate the remainder when d is divided by 20.
8
Suppose -6*v + 1566 = 12*v. What is the remainder when 252 is divided by v?
78
Let o(r) = -2*r**3 + 41*r + 117. Calculate the remainder when o(-8) is divided by 35.
8
Suppose 2760 = -14*v + 83*v. Suppose 4*n = g + 20, -17*g - v = -5*n - 12*g. Calculate the remainder when 100 is divided by n.
0
Let j be (-14)/(-6) - (-2)/3. Suppose -p + j = 0, -3*p = v + 2*p - 101. Let k(f) = f**2 - 638*f - 9777. What is the remainder when v is divided by k(-15)?
14
Suppose 0 = s + 2, 0 = 2*r - r + 4*s - 1. Calculate the remainder when -1*-7*(-5 + 10) is divided by r.
8
Suppose 0*v - 2*v - 70 = 0. Let u = v + 34. What is the remainder when ((-400)/(-32))/(u/(-6)) is divided by 11?
9
Suppose 14*q = -0*q + 98. Let c be ((-180)/(-126))/(1/q). Suppose -c*l - 16 = -14*l. Calculate the remainder when 9 is divided by l.
1
Let w(f) = 5*f - 5. Let y be w(8). Suppose -2*z - 3*a = -10, 4*z + y = 9*z + 5*a. Calculate the remainder when 48 is divided by z.
4
Suppose 0 = 3*k - 4*h + 48, -8*k + 13*k = h - 63. What is the remainder when 47 is divided by (6/k)/(2 + 105/(-52))?
21
Suppose b - 8*j - 1101 = -12*j, -3*b + 4*j = -3335. What is the remainder when b is divided by 45?
29
Let n = -232 + 241. Suppose -p = -5 + 1. Suppose -2*g - 72 = -p*d, -2*d + 2*g + 30 = 4*g. What is the remainder when d is divided by n?
8
Suppose 0*o = 4*o - 8. Suppose -3*j - 5*u + 83 = 0, 2*u = -3*j - o*u + 82. Suppose -28*a + j*a = -34. What is the remainder when a is divided by 6?
5
Let x = 175 - 176. Calculate the remainder when 93 is divided by 162/6 - -1 - (5 + x).
21
Let z(l) = -7*l**2 - l + 334. Suppose 8*a - 11 = -11. Calculate the remainder when z(a) is divided by 68.
62
Suppose -4 - 5 = -z. Suppose d - 64 = -t, -182 = -z*t + 6*t + 2*d. Calculate the remainder when 115 is divided by t.
53
Suppose -3*a + 37 = x - 56, 0 = -2*a - x + 62. Suppose -97*k + 3443 + 5869 = 0. What is the remainder when k is divided by a?
3
Suppose 56*o - 63*o + 315 = 0. Suppose -8*a = -3*a - 25. Suppose -1 = -w - 0, 0 = a*q + w - 51. Calculate the remainder when o is divided by q.
5
Let q(a) = -13*a**2 - 26*a - 34*a**3 + 18*a**3 + 15*a**3 - 3. What is the remainder when q(-11) is divided by 16?
9
Let a(u) = u**3 - 24*u**2 + 22*u + 38. Suppose -14*n = -6*n - 184. What is the remainder when 88 is divided by a(n)?
13
Let s = -157 - -159. Calculate the remainder when 3*(245/21 - (0 - s)) is divided by 16.
9
Let h = 3379 - -1997. What is the remainder when h is divided by 299?
293
Suppose 44*c + 20 = 40*c, 0 = -3*t + 2*c + 319. Calculate the remainder when 608 is divided by t.
93
Let o(r) = -r**2 - 10*r - 2. Suppose 370*k - 367*k + 15 = 0. What is the remainder when 2/(-4)*1*-86 is divided by o(k)?
20
Let u = 29 - -18. Let a = 60 - u. Suppose 3*w - l = a, 5*w + 6*l - 4*l - 7 = 0. Calculate the remainder when 13 is divided by w.
1
Let y(g) = g**3 + 40*g**2 - 6*g - 770. Calculate the remainder when y(-39) is divided by 66.
61
Let b(y) = -4*y**2 + 5*y - 7. Let j(g) = -3*g**2 + 6*g - 5. Let k(l) = -5*b(l) + 6*j(l). Calculate the remainder when k(-12) is divided by 11.
7
Let c(o) = o**2 + 75*o - 448. Calculate the remainder when 7484 is divided by c(-81).
36
Let v = 431 - 428. Let b = -5 - -10. Suppose b*c - 5 = 30. What is the remainder when c is divided by v?
1
Let h = -162 + 267. Suppose 0 = -3*v - 172 - 104. Let u = h + v. What is the remainder when 38 is divided by u?
12
Suppose -5*y = 4*r - 16, 14 = -y + 5*y + 2*r. Suppose -a + y*a = -k, -3*k + 2*a = -55. Calculate the remainder when k is divided by 4.
3
Let h(u) = 2*u**3 + 142*u**2 + 138*u - 24. Calculate the remainder when h(-70) is divided by 19.
2
Suppose 2*z + d