 l(y) = 4*y**2 + 2*y - 4. Let x be l(h). Let m = -65 + x. What is the remainder when m is divided by 11?
10
Suppose p + 65 = 3*t, -20 - 41 = -3*t + 2*p. Let z = 17058 - 16990. What is the remainder when z is divided by t?
22
Suppose -4*f + 44 = 2*r, 29 + 39 = 5*f - 4*r. Suppose 3*b - 7*b + 3*c + 343 = 0, 2*b + 4*c - 144 = 0. Calculate the remainder when b is divided by f.
10
Let c(z) = -10*z + 4. Suppose 0 = 3*g - 2*d + 3 + 10, -4*d + 8 = 0. Let w be c(g). Let q = w + -27. Calculate the remainder when 16 is divided by q.
2
What is the remainder when 1467 is divided by -2*(-5)/(-12) + (-18538)/(-372)?
46
Let y(s) = -s - 1. Let m(k) = -5*k + 17. Let q(r) = -m(r) - 2*y(r). Let o be q(12). Suppose o = 4*x - x. Calculate the remainder when x is divided by 12.
11
Let g be 0*(2 - (-9)/(-6)) - 25. Let p = g + 33. Suppose 26 + 73 = 11*k. What is the remainder when k is divided by p?
1
Let i be -576 - 0/(4 - 6). Let x = i + 831. Calculate the remainder when x is divided by 32.
31
Suppose 5*c - 7*c = -4. Let w(n) = 5*n**3 + 2*n**2 - 5*n - 2. Let j(u) = -u**2 + 7*u. What is the remainder when w(c) is divided by j(5)?
6
Let d = -857 - -956. What is the remainder when d is divided by 27?
18
What is the remainder when 120/35*4/(-6)*-28 is divided by 12?
4
Let t(o) = -3577*o + 5785. Calculate the remainder when t(-9) is divided by 10.
8
Let l(m) = 29*m + 6. What is the remainder when 300 is divided by l(5)?
149
Let i = -162 - -165. Calculate the remainder when (42/(-35))/(i/(-370)) is divided by 44.
16
Let q be 1244/16 + 1/4. Suppose d - q = -19. What is the remainder when d is divided by 104 + -76 + 7*-1?
17
Suppose 2996 = -4*b + 2*s + 12172, -5*s = 30. Calculate the remainder when b is divided by 121.
113
Calculate the remainder when 115 is divided by (-7 - -4)*1 + 43.
35
Let b(m) = -5*m + 1457. Calculate the remainder when b(55) is divided by 32.
30
Let l = -18376 + 18437. Calculate the remainder when 2253 is divided by l.
57
Let n = -208 + 499. Let z = 302 - n. Calculate the remainder when 83 is divided by z.
6
Suppose -9*z - 888 = -2634. What is the remainder when z is divided by 18?
14
Let m(y) = -y**3 + 8*y**2 - 8*y + 5. Suppose 20*k - 1671 = 5*k - 1386. Calculate the remainder when m(5) is divided by k.
2
Suppose 38*n - 20845 = -32*n + 15*n. Calculate the remainder when n is divided by 38.
37
Let x = 30638 + -29135. Calculate the remainder when x is divided by 1493.
10
Suppose -49*q + 5833 = -4898. What is the remainder when q is divided by 61?
36
Let k = 6128 - 5934. Calculate the remainder when 1084 is divided by k.
114
Let f be (-2 - -1)*(-64)/16. Calculate the remainder when 17 is divided by (-3 + f + -2)*-17.
0
Let t(p) = 260*p - 1744. Calculate the remainder when t(11) is divided by 224.
220
Calculate the remainder when 1001 is divided by 15/(-1 - (-442)/429).
11
Let l be 6 + -1 - (5 + -7)*1. Let d(x) = -19*x + 2*x + l*x + 7*x + 13. Calculate the remainder when d(-4) is divided by 9.
7
Calculate the remainder when 22 is divided by -3 - ((-35)/7 - 8).
2
Let p be (-12)/30 + 34/10. Suppose c - 1 = 0, 4*c - 3 = -p*o + 10. Suppose 3*m + o*m = 162. What is the remainder when 48 is divided by m?
21
Suppose 46*m + 2519 = 29999 + 11252. What is the remainder when m is divided by 169?
166
Let m(n) = 2*n**3 - 91*n**2 + 72*n - 1171. Suppose 0 = -4*p + 19 + 17. Calculate the remainder when m(45) is divided by p.
8
Let r = -5196 - -5351. Calculate the remainder when 242 is divided by r.
87
Let x = -136 + 189. Suppose 0 = m - 4, 4*m + 654 = 5*k - 110. Calculate the remainder when k is divided by x.
50
Calculate the remainder when 7641/3 + 5 - 0 - (2 + 2) is divided by 37.
32
Let f = 141 + -148. What is the remainder when -5 + (-2 - (-779 - f)) is divided by 64?
61
Let z(h) = -h**2 + 8*h + 5. Let a be z(11). Suppose -5*g - 1575 = -1630. Calculate the remainder when g is divided by a/(-8) - (-1)/(-2).
2
Suppose -16*z + 13*z = -27. Suppose 2*r = 6 + 2. What is the remainder when (r/22 - (-290)/(-22))*-2 is divided by z?
8
Suppose 135 = 3*q + 112*y - 110*y, -5*q = 5*y - 225. What is the remainder when 143 is divided by q?
8
Let t = -111 + 109. Let n be t + (-7 + 2)/(-1). Suppose -6*k - n*k + 63 = 0. What is the remainder when 10 is divided by k?
3
Let m(q) = 339*q + 12585. Suppose x + 132 = 5*x. Let n = -11 + x. What is the remainder when m(-37) is divided by n?
20
Suppose 4*g + 9 = -g - x, -g - 5*x = 21. What is the remainder when 271 - (0 - 2)*1*g is divided by 15?
14
Suppose -3*w + 3326 = 3098. What is the remainder when 557 is divided by w?
25
Let r(q) = q**2 + 1. Let i be r(-4). Let u be (116/(-348))/((-43)/(-21) - 2). Let k = i + u. What is the remainder when 57 is divided by k?
7
Suppose -5*u - 214 = -1659. Suppose 54 = 5*m - 4*m - f, 3*m = -5*f + 194. Calculate the remainder when u is divided by m.
57
Let d(h) = -1520*h - 2648. What is the remainder when d(-2) is divided by 103?
83
Suppose 0 = -37*o + 4*o + 10395. Let r = 326 - o. Let l(b) = -b**3 - 9*b**2 - b - 3. Calculate the remainder when r is divided by l(-9).
5
Let r be (-1 + -4)/((0 - -1)/(-1)). Calculate the remainder when (36/(-30) + 2)*500/r is divided by 8.
0
Suppose 0 = -m - 2231 + 2241. What is the remainder when 112 is divided by m?
2
Let t(q) = -q**3 + 7*q**2 - 11*q + 8. Let l be t(5). Suppose y - r = 3*r + 40, 95 = 4*y - l*r. What is the remainder when y is divided by -2 - 1*-9 - 0?
6
Suppose g + 2*o = 55, -401 = -4*g - 2*o - 151. Let f = 8898 + -8314. What is the remainder when f is divided by g?
64
Let j = -123209 - -123222. What is the remainder when 15*(2 - (-82)/10) is divided by j?
10
Suppose 0*a = -a, a = i - 116. Suppose -p = -2*l - 14, 0 = -5*p + 3*l + 41 + 1. Calculate the remainder when i is divided by p.
2
Let f = -123 - -169. Let z(o) = 4*o**2 + 3*o - 1. Let w be z(-3). Suppose -38 = -4*l - 3*m, 2*l + 7*m - w = 2*m. What is the remainder when f is divided by l?
6
Let l(w) = -7*w - 10 + 0*w + 4 + 0*w. Let b be l(-7). Let i = -42 + b. Calculate the remainder when i is divided by 1.
0
Suppose 4*f = -k + 5*k - 72, -2*k = f - 39. Suppose 5*q + 16 = -k. Let u = 23 + q. Calculate the remainder when 30 is divided by u.
14
Let y be -16 - -11 - (-2 + (-1370 - 1)). Calculate the remainder when y/(-8)*(-30)/18 is divided by 21.
12
Suppose -4*p - 2 = -i, -i - 13*p + 19*p = 10. Calculate the remainder when 697 is divided by i.
21
Let b be -2*(3/2)/((-18)/168). What is the remainder when 4 is divided by b/4 + 1/((-3)/12)?
1
Let c(i) = -5*i**2 + 52*i + 128. Suppose -5*t + 0*t = -15. Suppose -14 = t*k - 47. What is the remainder when c(12) is divided by k?
10
Let f(d) = d**2 - 3*d + 4. Let x be f(5). Suppose 0 = -9*h + x*h + 3*y - 32, 2*h = 2*y. Calculate the remainder when 20 + 0/2 + -2 is divided by h.
2
Suppose 257 - 909 = 87*z - 8830. What is the remainder when 2626 is divided by z?
88
Calculate the remainder when 8538/(-30)*(-66 - 4)/14 is divided by 19.
17
Let q be (-2)/(-18) + 648/729. What is the remainder when q + 410 + 0/74 is divided by 83?
79
Let g = 170 + -115. Suppose 6671*m = 6672*m + 5*u - 79, 3*m + 3*u = 81. What is the remainder when g is divided by m?
13
Suppose -9*n + 522 = -15*n. Let t = n - -107. What is the remainder when t is divided by 2?
0
Let r(n) = 7*n - 4. Suppose 4*b = -4 + 12. Let d = 15 - b. What is the remainder when r(6) is divided by d?
12
Let l = 21 - 3. Let d be 10/(-4) - (-1)/(-2). Calculate the remainder when l is divided by (4/(48/(-28)))/(1/d).
4
Let q = 2370 - 2197. Calculate the remainder when 350 is divided by q.
4
Suppose 14*n - 475 = 1877. Calculate the remainder when 502 is divided by n.
166
Suppose k = -4*v + 1061 - 613, 0 = -5*k + 2*v + 2394. What is the remainder when 967 is divided by k?
15
Let s = 38 - 40. Let x be 474/(-6)*(s - -1). Suppose 5*q - x = 4*p, -p - 4*p = -3*q + 37. What is the remainder when q is divided by 11?
8
Suppose 2*c - 1456 = -4*p + 858, -2*c - 2326 = -4*p. Calculate the remainder when p is divided by 96.
4
Let n be 12/4 - -1 - 0/6. Suppose 3*m - 3*s - 69 = 0, n*m + s = -s + 80. What is the remainder when 165 is divided by m?
18
Let r be (1/3)/(1/(-39)). Suppose -5*g + 36 = -j - g, 5*j + 3*g + 111 = 0. Let b = r - j. What is the remainder when 41 is divided by b?
8
What is the remainder when 1320 is divided by 3/(-2)