 when 585 is divided by i(8)?
13
Let h(w) = 15*w + 127. Let p(k) = 23*k + 190. Let z(d) = -7*h(d) + 5*p(d). Calculate the remainder when z(12) is divided by 26.
25
Suppose -9*n + 11*n = 0. Suppose -o - 2*x + x + 15 = n, 0 = o + 3*x - 9. Suppose 6*q = o + 174. Calculate the remainder when q is divided by 12.
8
Suppose -14*y + 2*y + 20088 = 0. Suppose 17*t - 8*t - y = 0. Calculate the remainder when t is divided by 21.
18
Let d = 767377 - 767304. Let o(x) = 9*x**2 + 8*x + 3. What is the remainder when o(-6) is divided by d?
60
Let x = -5185 - -5230. Calculate the remainder when 314 is divided by x.
44
Suppose 75 + 19 = s. Let w = s - 60. What is the remainder when w is divided by -3*6/27 + 40/6?
4
Let i = 9 + 9. Let n = -5799 - -5957. Calculate the remainder when n is divided by i.
14
Let j(x) be the first derivative of -13*x**2/2 - 3*x + 147. Let y(d) = -2*d + 2. Let s be y(2). Calculate the remainder when 68 is divided by j(s).
22
Let i(b) = -b**2 + b - 5. Let o be i(-8). Let p = 108 + o. What is the remainder when 59 is divided by p?
28
Let o = -21863 + 21951. Let x = 19 + -3. What is the remainder when o is divided by x?
8
Let y = 322 - 324. Calculate the remainder when 163*y/(-8) - 6/(-24) is divided by 33.
8
Let f = -146 - -81. Let t = -63 - f. Suppose -5*k = -5*l + 90, -7 = -l - t*k - 1. What is the remainder when 39 is divided by l?
11
Let a(h) = -h**2 - 2*h + 20. Let s be a(-5). Let u(v) = v**3 - 2*v**2 + 10*v - 4. Calculate the remainder when u(s) is divided by 26 + (0 - 1/1).
21
Suppose -16*d - 32*d + 18*d + 330 = 0. What is the remainder when 360 is divided by d?
8
Let b be (-4)/(1 + (4 - (-4 - -7))). What is the remainder when (11/b - -2)*(-3648)/336 is divided by 26?
12
Suppose 23 = -2*z + 27. Suppose 4*a = u + 159, 2*a + z*a + 4*u = 184. Let s = a - 24. Calculate the remainder when 97 is divided by s.
12
Let j(a) = a**3 + 34*a**2 + 51*a + 110. Calculate the remainder when j(-19) is divided by 48.
44
Let p be -5 + (-1 - (0 - -1)). Let w(v) = 6*v**2 - 2*v**3 + 3*v**3 + 11*v + 36740 - 36722 + 4*v**2. What is the remainder when w(p) is divided by 13?
10
Suppose -38*j + 39*j + v - 23 = 0, 3*j - 3*v - 105 = 0. What is the remainder when 558 is divided by j?
7
Let n(r) = -r**3 - 14*r**2 - 96*r + 17. What is the remainder when n(-14) is divided by 152?
145
Let j(u) = 0*u + 3*u + 34*u**2 - 21*u - 47 + u**3 - 28*u**2. Calculate the remainder when j(-7) is divided by 23.
7
Suppose 6*k - 15952 = -15586. Calculate the remainder when 2801 is divided by k.
56
Suppose -5*k = g - 243 - 431, 3*k = 5*g + 382. Suppose -2*z - 3*p - p = -124, z - 4*p = 86. Calculate the remainder when k is divided by z.
64
Suppose 3*l + 15 = 0, -l = -2*c - 3*l + 40. Suppose 0 = 2*q - 140 + 2. Calculate the remainder when q is divided by c.
19
Let f(q) = -3*q - 4. Let l be f(2). Let v = -43 + 60. What is the remainder when v is divided by (18/15 - 3)/(3/l)?
5
Let b(j) = 2*j**2 + 8*j + 11. Let y be b(-2). Suppose -4*n + 2*a = -92, -y*n + 98 = -4*a + 24. Calculate the remainder when 129 is divided by n.
19
Let u(n) = -n**2 - 7*n + 135. Let x(q) = 2*q**2 + 5*q + 2. Let s be x(-4). Let k = 132 + s. What is the remainder when k is divided by u(7)?
35
Let b = 316 + -306. Suppose k + b*k = 88. What is the remainder when 17 is divided by k?
1
Let c(h) = 463*h - 48. Let v be c(2). Let y = v + -873. Let s = 10 + -3. What is the remainder when s is divided by y?
2
Let n be (0 - -2)/(5 + (-27)/6). Suppose 3*s - 5 = 7, -s = 2*h - n. What is the remainder when (h - -55 - 0) + (4 - 3) is divided by 15?
11
Let d be 8/24 + 438/9. Calculate the remainder when 89 + (7 - d/7) is divided by 10.
9
Suppose 2*w = 5*n - 3*w + 40, -15 = 3*w. Let y(p) = 3*p**2 + 37*p - 5. What is the remainder when 566 is divided by y(n)?
20
Let q = -97 - -102. Suppose q*m - 3*o = 110, -2*o + 88 - 3 = 3*m. What is the remainder when m is divided by 12?
1
Let o(q) = q**3 - 23*q**2 - 69*q - 223. What is the remainder when 26 is divided by o(26)?
4
Suppose 3*n + 12 = -3, -4*s + 730 = 2*n. Let k = s + -163. Calculate the remainder when 394 is divided by k.
20
Let k(y) = y**2 + 18*y + 27. What is the remainder when 770/(-33)*(-21)/14 is divided by k(-17)?
5
Let u(o) = -336*o - 6453. Calculate the remainder when u(-24) is divided by 271.
256
Suppose 0 = 5*f - 2*l - 3*l - 25, -3*f + 5*l = -21. Suppose -20*u - f*u = -770. What is the remainder when 67 is divided by u?
32
Suppose g + 4*n = 15, -3*g + 3*n + 64 = -26. Let v = 54 + -53. What is the remainder when g is divided by 266/57*(v + 2)?
13
Let j = -8 - -15. Suppose 3 = -3*a, l - 6 = -2*a + j*a. Suppose 26 = 2*o - 3*t - 19, -t = -l. What is the remainder when 92 is divided by o?
20
Let t = 838 - 590. Suppose -249*q = -259*q + 500. Calculate the remainder when t is divided by q.
48
Let y = 4400 + -4293. Suppose -11*d - 336 = -14*d. What is the remainder when d is divided by y?
5
Let p(y) = -y**3 + 4*y**2 + 4*y. Let z be p(5). Let s(i) = 2*i**2 + 7*i - 2. Calculate the remainder when s(z) is divided by (15/4)/((-250)/(-600)).
4
Suppose 7*f = -50*f + 6466 + 27677. What is the remainder when f is divided by 17?
4
Let l(g) = 4*g**3 + 2*g + 3. Calculate the remainder when 84 is divided by l(2).
6
Suppose -153*d + 333*d - 73080 = 0. What is the remainder when 1265 is divided by d?
47
Let v = 7311 + -7287. Calculate the remainder when 1028 is divided by v.
20
Let x = -164 + 167. Calculate the remainder when (-1)/1 + 104 + 1 is divided by 48/(-1 + x) - (-13 - -10).
23
Let q = 16 + 19. Suppose -2*v - 4 = -3*k + k, -2*v - 8 = -3*k. Suppose -v*o + q = 23. Calculate the remainder when 15 is divided by o.
3
Suppose -52*u + 59*u - 2471 = 0. Let t = u - 304. What is the remainder when t is divided by 10?
9
Let a(c) = -2*c**3 - 96*c**2 - 189*c - 177. Calculate the remainder when 16056 is divided by a(-46).
50
Let z(o) be the second derivative of 5*o**4/4 + 7*o**3/3 + 13*o**2/2 - 51*o. Calculate the remainder when 181 is divided by z(-1).
13
Let m(o) = -o**2 - 9*o - 8. Let q be (-66)/12 + (-3)/6. Let d(g) = -2*g**3 - 4*g**2 - 2*g + 4. Calculate the remainder when d(-3) is divided by m(q).
8
Let t = -3650 - -3676. Let u(x) = -38*x + 2 + 3 + 13*x. What is the remainder when u(-6) is divided by t?
25
Let b be 17 - (-56)/(-7) - 9. Suppose b*q - q + 27 = j, -4*j - 4 = 0. What is the remainder when 810 is divided by q?
26
Let w = -5985 - -6565. Calculate the remainder when w is divided by 284.
12
Let y(l) = 2*l**2 - 9. What is the remainder when y(5) is divided by (4 - 1)*((-186)/(-18) - 6)?
2
Suppose 7 = -13*a + 33. Let f(n) = 10*n**2 + 2*n - 1. Calculate the remainder when f(a) is divided by 15.
13
Let f(o) = 97*o**2 + 5*o + 4. Let d be f(-1). Let k = d - -53. Let r = k + -45. What is the remainder when r is divided by 36?
32
Let z(g) = 36*g**2 + 2*g - 2. Suppose 3*l = 4*j - 284, -162*j + 164*j = -3*l + 142. Calculate the remainder when z(-2) is divided by j.
67
Let p = -88 + 92. Suppose 0*w - p*w = -w. Suppose -4*n + 37 + 15 = w. What is the remainder when 88 is divided by n?
10
Let j = -3464 - -3768. Calculate the remainder when j is divided by 18.
16
Let r = -12 - -50. Let a = 324 - 248. Suppose a = 18*s - 32. Calculate the remainder when r is divided by s.
2
Suppose 7*p - 2*p - 10 = 0. Suppose -p*v = -3*v + 6. Calculate the remainder when ((-9)/(-5))/((-3177)/(-68835)) is divided by v.
3
Let z = -28 - -33. Suppose -5*k + z*d = 5, 1 = -d + 5. Suppose 35 = -k*n + 71. Calculate the remainder when 44 is divided by n.
8
Let w be (28 + -8)*10*(-2)/(-25). Suppose 4*x = 16, -308 = -2*z - w*x + 15*x. What is the remainder when z is divided by 32?
24
Let m = -12703 - -12729. Calculate the remainder when 119 is divided by m.
15
Suppose 204 = 4*d - 4*m, 5*d + 2*m = d + 192. What is the remainder when 51 is divided by d?
2
Let n = -11911 + 11939. What is the remainder when 13270 is divided by n?
26
Let s be -3 - 511/(-49) - 4/(-7). Let p(t) = -t**3 + 8*t**2 + 18. Let b(i) = i**3 + 9*i**2 - 4*i - 1. Calculate the remainder when b(-9) is divided by p(s).
17
Let o = 2946 + -2749. Calculate the remainder when 390 is divided by o.
193
Suppose -10*g + 5*g + 330 = 0. Suppose -102*m - 409 + 2347 = 0. Calculate the remainder when g is divided by m.
9
Suppose 38*n = -1004 + 4804. What is the remainder w