late the remainder when 2288 is divided by p.
26
What is the remainder when (-8685)/(-18) - 7/(-2 - -16) is divided by 27?
23
Suppose -127*n + 3048 + 2413 = 0. Calculate the remainder when n is divided by 22.
21
Let n(o) = 44*o**2 - 135*o - 1112. Calculate the remainder when n(-11) is divided by 47.
10
Suppose 268 - 78 = 10*r. Let s = 10 + r. What is the remainder when s is divided by 12?
5
Let p(o) = -o**3 - 11*o**2 - 11*o - 7. Let a be p(-9). Let z = -7 - a. What is the remainder when z is divided by 1*(-2 + 2) - (-2 - 15)?
12
Let g be (-1005)/(-6) + 2/(-4). Let q = -72 + g. Let b = -40 + q. What is the remainder when b is divided by 19?
17
Suppose -2*x - 2*m = -22, 0 = -26*m + 30*m - 20. Let j(l) = 5*l**2 + 6*l - 5. Calculate the remainder when j(4) is divided by x.
3
Suppose -34*j = -74*j - 35*j + 39600. Calculate the remainder when j is divided by 94.
58
Let u(g) = -5*g**3 + 15*g**2 - 29*g - 4. Let p(o) = -o**3 + o**2 - o + 1. Let s(n) = -4*p(n) + u(n). Calculate the remainder when 168 is divided by s(7).
12
Suppose 44*a = 74*a + 15*a - 90. What is the remainder when 272 is divided by a?
0
Let a(k) = -k**3 - 64*k + 139. Calculate the remainder when a(0) is divided by 53.
33
Suppose 0 = x - 4*y - 0*y - 160, 0 = -3*x + y + 436. Let h = -197 + 234. Calculate the remainder when x is divided by h.
33
Suppose -2*r - 6 = -24. Suppose -4*a + 24 = -2*s, 5*s - r = -3*a + 35. Suppose -a*f = -17*f + 135. What is the remainder when 102 is divided by f?
12
Suppose d + 5*i - 64 = 0, 4*i + 280 = 4*d - 48. What is the remainder when d is divided by 2?
1
Suppose 0 = -18*v + 12*v + 726. What is the remainder when (-4 - (v - 3))/(-2) is divided by 22?
17
Let u = -96 - -61. What is the remainder when u + 29 + 97 + 0 is divided by 32?
27
Let h(w) = 3*w**3 - 40*w**2 - 20*w - 13. Calculate the remainder when h(14) is divided by 15.
9
Let g(o) be the first derivative of o**3/3 + o**2/2 - 26*o - 256. Calculate the remainder when 155 is divided by g(8).
17
Let q(u) = 2*u**2 - 2*u + 2. Let n be q(1). Calculate the remainder when 143 is divided by -2*(-1)/n*(-54 + 79).
18
Calculate the remainder when 1815 is divided by (-63)/14 - -7 - 4675/(-50).
87
Suppose 3 = 3*v, 0 = 4*y - 0*v + 2*v - 178. Let a = y - 9. What is the remainder when 368/14 + 1*(-10)/a is divided by 15?
11
Suppose 6*z + 15 = z + 95. Suppose -2*w + 12 = 2*g, 2*w - 4 = -g + 4. What is the remainder when (8 + 55)*(0 + w) is divided by z?
14
Suppose -3*c + 4*j = -13, -5*c + 7*c = -3*j - 14. Calculate the remainder when 53 is divided by c/(-8)*1*88.
9
Let i(m) = 38*m - 4. Let d be i(-3). Let t = -71 - d. Suppose 61 = 9*x - 11. Calculate the remainder when t is divided by x.
7
Calculate the remainder when (-17)/((-187)/99) - -2467 is divided by 31.
27
Let x(v) = -v**2 + 146*v + 924. What is the remainder when 43 is divided by x(-6)?
7
Let h = 39 + -20. Let z be h/(-9)*-3 + 6/(-18). Let r(u) = u + 17. Calculate the remainder when 41 is divided by r(z).
18
Let q(l) = l**2 + 28*l + 219. Suppose 0 = 4*v - 5*x - 95, 0 = -3*v + 8*v - 4*x - 112. Calculate the remainder when q(-7) is divided by v.
12
Suppose 43 = n + 4*p, -n - n = -5*p - 125. Let k(v) be the first derivative of 6*v**2 + 2*v - 3. What is the remainder when n is divided by k(1)?
13
What is the remainder when 3 - 11/(22/(-388)) is divided by (5/10*-2)/((-2)/132)?
65
Let l(b) = -b**2 + 8. Let k be l(0). Suppose k = -w + 2*w. Let i = 17 - w. What is the remainder when 61 is divided by i?
7
Suppose m - 31 = 2*d + 92, 3*d = -2*m + 281. Let j = 247 - m. Calculate the remainder when j is divided by 24.
18
Suppose 2*p - 32 = 7*u, 5*p - 55 = -27*u + 32*u. What is the remainder when 1/(-2)*-2 + 16 is divided by p?
8
Suppose 0 = -113*c + 136*c - 989. Calculate the remainder when 146 is divided by c.
17
Let y = 16 - 16. Suppose -5*s - 7 = -y*s - 3*j, -3*j = 4*s + 11. Calculate the remainder when ((25/2)/(-5))/(1/s) is divided by 2.
1
Suppose -3*u - 2*l - 928 = -4585, 5*u = 4*l + 6117. What is the remainder when u is divided by 24?
21
Suppose 1108 = 4*t + t + 4*n, t + 2*n - 224 = 0. Let q = t + -205. Let j(k) = k**2 - 4*k + 11. Calculate the remainder when j(9) is divided by q.
11
Let w = -1138 - -1468. What is the remainder when w is divided by 113?
104
Let c(q) be the third derivative of q**6/24 + q**5/30 - 13*q**4/24 + 7*q**3/6 + 126*q**2. Calculate the remainder when 109 is divided by c(2).
22
Let w(k) be the third derivative of 7*k**5/30 - 3*k**4/4 - 2*k**3/3 + 11*k**2. What is the remainder when w(3) is divided by 10?
8
Let w = 524 + -514. Suppose 0 = -17*y + 282 - w. What is the remainder when 124 is divided by y?
12
Let n = 18296 + -15613. Calculate the remainder when n is divided by 24.
19
Suppose -34 = 3*l - 10. Let a be 3/(-7) + 54/(-21) - (-380)/38. What is the remainder when 9 is divided by 2 - (a + -2) - l?
4
Suppose -727 = 23*u + 1343. What is the remainder when 57 is divided by (8/(-24))/(1/u)?
27
Suppose 11928 = -36*s + 79*s + 41*s. Calculate the remainder when s is divided by 72.
70
Let d be 3/(-9)*0*1/2. Suppose 15*m - 2*m + 39 = d. Calculate the remainder when 40 is divided by m/(15/(-2)) - (-4738)/230.
19
Suppose -f - 18 = -4*f. Suppose -17*p - 126 + 194 = 0. What is the remainder when f is divided by p?
2
Calculate the remainder when 189 is divided by 6/10 - -214*1/10.
13
Suppose 3*t - 386 = 4*v - 68, 4*t = -v + 405. What is the remainder when 425 is divided by t?
17
Calculate the remainder when 390 is divided by 448/42 - 2/3.
0
Suppose 5*u + 8142 = 5*j + 7*u, -1650 = -j - 4*u. What is the remainder when j is divided by 184?
154
Let j = -2342 - -2407. Suppose -3*o - o + 496 = 0. What is the remainder when o is divided by j?
59
Let h(t) = -t**3 + 5*t**2 - 3*t - 2. Let k be h(4). Suppose 0 = -4*q + 6 + 2, 0 = -k*i + 2*q + 154. Calculate the remainder when 146 is divided by i.
67
Let a = 105 + -73. Let k(g) = -g**3 + 26*g**2 - 149*g - 6. What is the remainder when k(17) is divided by a?
30
Suppose -70 = -m - 3*x, -5*m + 136 = -3*m + 2*x. Let r = -79 - -43. What is the remainder when m is divided by (-1251)/r - 6/8?
33
Let h be 7/((-14)/(-4)) + -12. Suppose -2590*p = -2607*p + 1258. Calculate the remainder when p is divided by (-4)/h + 1599/65.
24
Calculate the remainder when (2/(-15))/((-64)/240)*(764 - -2) is divided by 83.
51
Suppose -u + 7 = -2*x, -u + 4*u - 43 = -5*x. What is the remainder when 10713 is divided by u?
10
Let h(r) = r**3 + 2*r**2 - 8*r + 13. Calculate the remainder when -1 - (-3)/2*78 is divided by h(2).
12
Suppose 4*s - 1079 = -5*s - 26. What is the remainder when s is divided by 27?
9
Let p = -28478 - -29880. Calculate the remainder when p is divided by 44.
38
Suppose -5*o - s + 6 = 2*s, 15 = -5*s. Suppose -2*r + 3*v = 3*r - 28, -20 = -4*r + 3*v. What is the remainder when -3*(o - (-51)/(-9)) is divided by r?
0
Let s(o) = o**2 - o + 9. Let r = 1149 + -478. Suppose -19*t + r = -8*t. Calculate the remainder when t is divided by s(0).
7
Suppose -4*y + 474 = -2*h, 3*h + 346 = -4*y - 335. Let q = h - -249. Calculate the remainder when q is divided by 5.
3
Let d = 1389 + -741. Let g = d + -632. Calculate the remainder when 590 is divided by g.
14
Let c(u) = 5*u + 10. Let o be c(-9). Let j = o - -51. Calculate the remainder when 18 is divided by (20/j)/(3/(-24)*-2).
3
Suppose -22*m + l + 4129 = -19*m, m - 2*l - 1388 = 0. Calculate the remainder when m is divided by 458.
0
Suppose 0 = -15*c - 69 + 129. Suppose 425 = -4*s + 7*s + 5*t, -t + 595 = c*s. What is the remainder when s is divided by 40?
30
Let x(u) = -u + 111. Let h be x(25). Suppose 34*z - 32*z + h = 3*t, 2*z - 70 = -3*t. Calculate the remainder when (1 - 94)*15/(-9) is divided by t.
25
Let k = -3138 - -3151. Calculate the remainder when k is divided by 12.
1
Let b(s) be the second derivative of s**5/20 + 5*s**4/12 + 7*s**3/6 + 29*s**2/2 - 9*s + 2. Calculate the remainder when 49 is divided by b(-4).
15
Let f = 143 - 145. Calculate the remainder when ((-1)/f)/((-10)/(-540))*1 is divided by 10.
7
Let q(j) = 276*j - 809. Calculate the remainder when q(7) is divided by 10.
3
Suppose -6*v + 34*v + 56 = 0. Calculate the remainder when 366 is divided by 1*(1 + v)*(3 + -26).
21
Suppose 9*r - 588 = -13*r + 14086. Calculate the remainder when r is divided by 166.
3
Let a be 