(n) = -n**3 + 6*n**2 + 7*n + 9. Let j = -26 - -33. Let h be y(j). Suppose h*t - 360 = -t. Calculate the remainder when 68 is divided by t.
32
Suppose 25*y = 13*y + 36. Let j(a) = 3*a**2 - 5*a + 2. What is the remainder when 82 is divided by j(y)?
12
Let z(x) = -286*x**3 - 3*x**2 + 11*x + 14. What is the remainder when z(-1) is divided by 91?
13
Suppose -2816 = -7*f - 772. Let g = f - 288. Let z(s) = s**2 + 5. Calculate the remainder when z(-4) is divided by g.
1
Suppose -63*b = -131*b + 40*b + 1316. Calculate the remainder when 1023 is divided by b.
36
Let y = 4 + 39. Let z = 160540 - 160513. Calculate the remainder when y is divided by z.
16
Let y(k) = -k**3 + 57*k**2 + 72*k + 32. What is the remainder when y(57) is divided by 41?
36
Let i = 239 - 204. Suppose 0 = -417*z + 412*z + i. Let a = -16 + 26. What is the remainder when a is divided by z?
3
Suppose 0 = -9*h + 2*h. Suppose 97 = -h*l + 5*l + 2*f, l - 1 = -5*f. What is the remainder when (-1)/2*-2 - -61 is divided by l?
20
Suppose -3*l = 0, 560 = -4*y - 6*l + 5*l. What is the remainder when 100 is divided by (0 + y/12)*(0 + -3)?
30
Suppose -2*r - 2*r + 152 = 0. Suppose -14 = -4*o + 98. Suppose 5*b + h - 11 = o, 5*b + 4*h - 36 = 0. What is the remainder when r is divided by b?
6
Suppose -3*t + 58 = 6*c - 2*c, -4*t + 75 = 3*c. Suppose 0 = -t*x + 19*x - 4. Suppose 19 = x*n - 13. What is the remainder when 12 is divided by n?
4
Calculate the remainder when 122 is divided by 3 + -3 - 74/(-14) - (-306)/(-1071).
2
Let x(a) = 188*a**2 - 15*a + 16. What is the remainder when x(1) is divided by (-20)/(-6)*(-672)/(-35)?
61
Calculate the remainder when (777 + 0 - (9 - (6 - -4))) + -5 is divided by 86.
85
Let m = 187 + -164. Let d(j) = j**2 - 20*j - 13. Suppose 4*l - t = 435, -5*t - 60 = 3*l - 369. What is the remainder when l is divided by d(m)?
52
Let a = 2 - -24. Let u(x) = x**3 - 17*x**2 + 42*x + 4. Let s be u(14). What is the remainder when a is divided by s - ((-10)/2)/(-24 + 25)?
8
Calculate the remainder when 2/(-12) + (-24135)/360*-4 is divided by 230.
38
Suppose -52*j + 18 = -46*j. Suppose -d + j*a + 41 = 0, -121 = -2*d + 4*a - 49. Calculate the remainder when d is divided by 6.
2
Let q = 196 + -467. Let o = q - -308. What is the remainder when 255 is divided by o?
33
Suppose 21*l = -138 + 1566. Suppose 858 = -62*m + l*m. What is the remainder when m is divided by 18?
17
Let b(r) = -35*r**3 - r. Suppose -245 = -0*k - 5*k + l, 5*k - 230 = 4*l. Calculate the remainder when k is divided by b(-1).
14
Suppose -4*f + 7*f - 192 = -5*z, z = -3*f + 48. Suppose -30*u = -34*u + z. What is the remainder when 223 is divided by u?
7
Let y = 10174 + -10141. Calculate the remainder when 142 is divided by y.
10
Suppose -2*n = -0*n + 3192. Calculate the remainder when ((-12)/(-9))/((-19)/n) is divided by 23.
20
Suppose -12*m + 164 = 68. Calculate the remainder when 805/15 - (-4)/(-6) is divided by m.
5
Suppose 4*n + 6*n = 310. Suppose -4*d = -y + 3*y - 70, 2*d = -5*y + n. What is the remainder when 70 is divided by d?
16
Let a = -107 - -63. Let g = -47 + a. Let v = g + 125. Calculate the remainder when 132 is divided by v.
30
Let p = 183 - 150. Calculate the remainder when 6/p + (-53)/(-11) is divided by 2.
1
Let t = -41 + 37. Let k be (-1128)/t*(-2)/(-1 + 0). Suppose 11*l - 811 = k. Calculate the remainder when l is divided by 43.
39
Suppose 5*b = -4*w + 49, -14*b = -17*b - 5*w + 32. Calculate the remainder when 88 is divided by b.
7
Let h be 0 + 88/(-32)*-8. Suppose 0 = 2*v + 5*u - h - 17, -u = -4*v + 133. Calculate the remainder when 220 is divided by v.
28
Let v(w) = -2*w + 63. Let u be v(0). Let c = u - 90. Calculate the remainder when 37 is divided by 54/c*(-1 - 4).
7
Suppose 1356 = 69*v - 57*v. Calculate the remainder when 235 is divided by v.
9
Suppose 3*t = -3*o - 1017, 2*o + 4*t + 271 + 405 = 0. Let i = 360 + o. Calculate the remainder when 58 is divided by i.
18
Suppose 4*a - 2*u - 11654 = 0, 3*u = -49*a + 45*a + 11659. Calculate the remainder when a is divided by 53.
52
Suppose 2*b = -b + 84. Suppose 46*o - 50*o = 5*x - 257, 10*x = -2*o + 496. Suppose b - x = -q. Calculate the remainder when 59 is divided by q.
17
Let m = 131 + -112. Suppose 0 = -6*j - m + 97. Calculate the remainder when j is divided by 5.
3
Let w = -615 + 615. Suppose w = 3*t - 9, -16*u + 3*t + 39 = -12*u. What is the remainder when 20 is divided by u?
8
Suppose 10 - 25 = -5*v. Suppose 643 = 2*j + 3*x, -1601 = -2*j - v*j - x. Calculate the remainder when j is divided by 19.
16
Let o(i) = i**3 + 72*i**2 + 355*i - 4. Calculate the remainder when o(-65) is divided by 171.
169
Suppose -2*x - 16 = 4*j + 2*x, 20 = -5*x. Suppose 44*l - 48*l + 52 = j. Suppose -17 = -2*r + l. What is the remainder when 22 is divided by r?
7
Suppose -2*n - 828 = 2*v - 2620, 3*n + 5*v - 2686 = 0. Calculate the remainder when n is divided by 446.
5
Suppose 4*s - 7 = -5*g + 6*s, -5*s = -5*g - 5. Calculate the remainder when 3004/16 - (2 + (-27)/12) is divided by (-2)/g*(-81 + 9).
44
Let q = -304 + 182. Let f = -114 - q. What is the remainder when 8 is divided by f?
0
Let m(j) = j**3 - 12*j**2 - 7*j - 42. Calculate the remainder when m(13) is divided by 6/(-21) - ((-468)/21)/1.
14
Suppose 2*j + 0*j = 5*k - 92, 3*j = 3*k - 48. Suppose 0 = -k*s + 25*s - 1115. What is the remainder when s is divided by 78?
67
Suppose 2*q - 3*c - 73 = 0, 0 = -4*q - 28*c + 25*c + 137. What is the remainder when 526 is divided by q?
1
Suppose -114*q - 120*q = -51284 - 133810. Calculate the remainder when q is divided by 55.
21
Suppose 0 = -125*t - 169*t - 139*t + 6495. Let p(c) = -21*c - 7. What is the remainder when p(-5) is divided by t?
8
Let o = 5995 - 5990. Let y(i) be the third derivative of i**4/6 - i**3/2 + i**2. Calculate the remainder when 32 is divided by y(o).
15
Suppose 3*g = 1081 + 563. Let x(s) = -49*s**3 + s**2 + 126*s + 126. What is the remainder when g is divided by x(-1)?
48
Suppose 3*k - 2*f - 114 = 68, 5*f = 3*k - 176. What is the remainder when 155 is divided by k?
31
Let u = 1692 - 1631. Calculate the remainder when u is divided by 17.
10
Let t(b) = b**3 + b**2 + b + 4. Let q = 256 + -252. Suppose -3*g + q*a - a = -78, 3*a = -5*g + 122. What is the remainder when g is divided by t(0)?
1
Suppose -4*r + 1408 = 5*f, -3*r + 23*f = 25*f - 1063. Calculate the remainder when 1090 is divided by r.
19
Suppose -3*o - 5*x = -160, 6*x = -o + 2*x + 51. What is the remainder when o is divided by 26?
3
Suppose 31*r = 113 + 42. Suppose 2*y - 8 = 4*k + 6, 4 = y - r*k. What is the remainder when 26 is divided by y?
8
What is the remainder when (-1)/((-7)/6157) + -17*16/476 is divided by 173?
14
Let p(v) = -58*v + 242. What is the remainder when 558 is divided by p(4)?
8
What is the remainder when 24 is divided by ((-1792)/(-288) - (5 - 2/(-2)))*9?
0
Suppose -79 = -2*z + 17. Let r = -22875 - -23017. Calculate the remainder when r is divided by z.
46
Suppose 89*s = 78*s + 22. Suppose 102 = 4*w - 5*u, -4*w + 0*u = s*u - 88. Calculate the remainder when w is divided by 22.
1
Suppose -72 = 4*m - 9*m - 4*o, 3*o - 58 = -4*m. Suppose y - 3*y = -8. Suppose -y = -2*a + 2. Calculate the remainder when m is divided by a.
1
Suppose -2*m - 636 = 7*x - 12*x, -4*m = -3*x + 390. Calculate the remainder when x is divided by 12.
6
Let j(m) = -m**2 + 9*m - 14. Let i be j(15). Let h = -98 - i. What is the remainder when 23 is divided by h?
5
Suppose b + 3*b = 28. Suppose 0 = b*q - 3*q + 200. Let x = -29 - q. Calculate the remainder when 39 is divided by x.
18
Let i(o) = 25*o + 12. Let w(x) = 12*x + 7. Let d(k) = -2*i(k) + 5*w(k). Let q = 16 - 9. What is the remainder when d(q) is divided by 21?
18
Let r = 12 - 0. Calculate the remainder when 679 is divided by r.
7
Suppose 0 = -10*w + 2*w + 128. Suppose 122 = 2*f - f. Suppose -8*q + 10*q = f. Calculate the remainder when q is divided by w.
13
Suppose -14*o = -12*o - 52. What is the remainder when 1299 is divided by o?
25
Suppose -111*x + 40089 = 50*x. Calculate the remainder when x is divided by 17.
11
Let h = 54 - -492. Calculate the remainder when h is divided by 183.
180
Let w(u) = -u**3 + 4*u**2 + u + 634. What is the remainder when w(0) is divided by 14?
4
Let j = 7 + 1. Let m(r) = r**3 - 8*r**2 + 4*r - 1. Calculate the remainder when (-