alculate the remainder when (-194)/x - 5/20 is divided by 13.
11
Let f be (-1 + 1)*(-2 + 1). Let m(q) = -q**2 - q + 19. Suppose g + 39*t = 38*t - 6, 2*t = -g - 17. Calculate the remainder when m(f) is divided by g.
4
Suppose 4*b = 4*y + 116, -4*y + 62 = 2*b - 2*y. What is the remainder when 344 is divided by b?
14
Let l(n) = 32*n + 798. Calculate the remainder when 745 is divided by l(-24).
25
Suppose 0 = 3*l + l - 1200. Suppose 6*f = -0*f + l. Suppose -f = 11*j - 13*j. Calculate the remainder when j is divided by 7.
4
Let x = 9624 + -8965. Calculate the remainder when x is divided by 206.
41
Let b(u) = -9*u - 563. Let v = 17 - 12. Suppose -v*c + c + 254 = i, -122 = -2*c + 2*i. Calculate the remainder when c is divided by b(-65).
19
Let l = -7076 + 14101. What is the remainder when l is divided by 9?
5
Suppose 0 = -l + 2*g, -9*g = -8*g - 4. Suppose -4*z = -y + 35, 0 = -y - l*z + 4*z + 35. What is the remainder when 66 is divided by y?
31
Suppose -p - 5 = 0, 5*v - 109*p = -104*p + 1835. Calculate the remainder when 927 is divided by v.
203
Suppose 23*j + 24*j = 799. What is the remainder when 456 is divided by j?
14
Suppose 70 = -4*y + 266. Let x be ((-38)/(-3) - 11)*6/5. Suppose 4*j = g - 9, 2*g + 3*j - 55 = -x*g. Calculate the remainder when y is divided by g.
10
Suppose -2*c + 2*y = -290, y - 30 = -5*c + 665. Let r(h) = -257*h - 13544. Calculate the remainder when c is divided by r(-53).
63
Calculate the remainder when -4 + 0/2 + (-143)/(-208)*32 is divided by 1.
0
Let w be 0 + ((-8)/(-10))/((-1)/(-110)). Let s = w + -75. What is the remainder when (-3)/(2 + 17/(-8)) is divided by s?
11
Let s = 27 + -17. Let u(v) = -v + 21. What is the remainder when u(s) is divided by (-19 - -24)*(-6)/(-10)?
2
Let f = -40 + 48. Let g = -1835 - -1875. What is the remainder when g is divided by f?
0
Let c(k) = k**3 + 6*k**2 + k - 10. Let g be c(-5). Let u = g + 33. Suppose 0 = -2*a - 3*t + 8*t + 40, 2 = -t. Calculate the remainder when u is divided by a.
13
Calculate the remainder when 178 is divided by (196/21*1)/((-4)/(-15)).
3
Suppose -3*u - q + 317 = 2*u, -4*q = 2*u - 116. Calculate the remainder when 767 is divided by u.
63
Let p(v) = v**2 - 8*v - 9. Let d be p(10). Suppose n - d - 22 = 0. What is the remainder when 58 is divided by n?
25
Suppose -1860 = -5*z + 2*u + 2245, -3*u = 0. Suppose 53 + z = 19*o. What is the remainder when 320 is divided by o?
44
Let r = -28 + 47. Suppose 2*m - 172 = -1788*o + 1789*o, -m + 5*o + 131 = 0. What is the remainder when m is divided by r?
5
Let h = 2712 + -2588. What is the remainder when 207 is divided by h?
83
Suppose 33*b - 17185 = -2*b. Calculate the remainder when b is divided by 10.
1
Suppose 31*d = -107 + 132 + 223. Let b(j) = j**2 + 3*j - 1. Let r be (0 + 2)/(3/6). What is the remainder when b(r) is divided by d?
3
Suppose -4*r = -c - 363, 0 = r - 3*c - 73 - 15. Calculate the remainder when r is divided by 34.
23
Suppose 3*x - 19 = 2*r, -x - r + 5*r - 7 = 0. What is the remainder when 3850 is divided by x?
7
Suppose 6*q = 3*q + 12. Suppose -o = -5*h + 50, 0*o + 14 = -o - q*h. Let m = 28 - o. What is the remainder when m is divided by 21?
16
Suppose 0*s = -3*s + 6. Let d be 95 + -1 - (-8)/s. What is the remainder when 49 is divided by (-4)/14 - (-1008)/d?
9
Suppose -b + 225 = 8*b. Let p = -25 + b. Suppose 5*i - 56 + 31 = p. What is the remainder when 12 is divided by i?
2
What is the remainder when (6792/30 + -4)/((-2)/(1 + -11)) is divided by 78?
20
Suppose 44 = -3*a - 2*q, -5*q + 8 = -2*a - q. Let o = a - -33. Calculate the remainder when 35 is divided by o.
14
Suppose -5*w = -0*l - 3*l - 10, 3*l - 8 = -4*w. Suppose -210 = -l*j - 10*j. Let k = 156 + -75. Calculate the remainder when k is divided by j.
18
Suppose 4*h - 758*u + 755*u = 353, 4*h - 388 = -4*u. Calculate the remainder when 539 is divided by h.
79
What is the remainder when 4733 is divided by (104/18 - 6) + (-4020)/(-108)?
34
Suppose -9*n + 1832 = -5*n. Let z = -355 + n. What is the remainder when z is divided by 26?
25
Suppose -4*y + 77 - 29 = 0. Let a = 733 + -757. What is the remainder when a/(-4)*996/72 is divided by y?
11
Let f(l) = -14*l - 85. Let n(s) = -s**3 + 45*s**2 + 50*s - 160. What is the remainder when f(-14) is divided by n(46)?
15
Calculate the remainder when (4 + 2*-1)/(38*1/94867) is divided by 238.
233
Let h(b) = 8*b**2 + 36*b - 5. Let p be h(3). Suppose 0 = -95*j + 102*j - p. What is the remainder when 522 is divided by j?
22
Let i(r) = -r**3 - 6*r**2 - 3*r + 9. Suppose -4*b - 24 = 4. Suppose -112*p = 236*p + 57*p - 10020 - 1320. What is the remainder when i(b) is divided by p?
23
What is the remainder when (-1 - 982/(-6))*(-693)/(-84) is divided by 16?
14
Let u = -504 + 529. Suppose 2*w - 7 = w. Calculate the remainder when u is divided by 47/w + 2/7.
4
Let d(b) be the third derivative of 2*b**4 - 41*b**3/3 - 77*b**2. What is the remainder when d(4) is divided by 28?
26
Suppose 0 = -25*i + 207 + 43. What is the remainder when 693 is divided by i?
3
Let l = -1656 + 1746. What is the remainder when l is divided by 31?
28
Let r(f) = -507*f + 2471. What is the remainder when r(-13) is divided by 8?
6
Suppose 0 = 2*i, -152*i - 1536 = -3*j - 150*i. Calculate the remainder when j is divided by 106.
88
Let a(l) = 15*l**2 - 15*l - 182. Calculate the remainder when a(-27) is divided by 40.
38
Suppose 5*v - 158 = -y, 3*v + 443 = 5*y - 319. What is the remainder when y is divided by 51?
0
Let y(q) = -q**3 - 24*q**2 + 51*q + 63. Calculate the remainder when 1154 is divided by y(-26).
86
Let m = -9648 + 10394. What is the remainder when m is divided by 744?
2
Calculate the remainder when (-7097)/(-11) + -3 + (-264)/1452 is divided by 73.
58
Let j = -99 - -148. Let s = 325 - 184. Calculate the remainder when s is divided by j.
43
Let x be (-628)/785 + (60924/10)/3. Suppose 11*h = h + x. What is the remainder when h is divided by 68?
67
Suppose 17258 + 3092 = 50*n. Calculate the remainder when n is divided by 84.
71
Let m = 834 - 751. What is the remainder when m is divided by (4 - (-10)/35)*7?
23
Let g(y) = 3*y**2 - y - 329. What is the remainder when 296 is divided by g(-12)?
66
Suppose -7*o + 498 - 133 = -3*x, -2*o = -5*x - 67. Let m(t) = -9*t**3 - 5*t**2 + 4. Calculate the remainder when m(-4) is divided by o.
52
Suppose c - 23 = -4*l, 8*l - 34 = 3*l - 3*c. Suppose 7 = -l*u - 13. Calculate the remainder when 56 is divided by (2/u - 2)*-6.
11
Suppose -7*f = 6 - 587. Let y = -584 - -995. What is the remainder when y is divided by f?
79
Suppose 3*r - 2*r + 3*c + 101 = 0, c = 4. Let z = r - -130. What is the remainder when z is divided by 5?
2
Let m(u) = -3*u + 3. Let j = -8 - -3. What is the remainder when m(j) is divided by (-126)/(-18) + -10 + 14?
7
Let v(s) = -578*s - 2209. What is the remainder when v(-6) is divided by 14?
13
Suppose -251 + 89 = -3*m. Suppose -2*a + 9 = j, 5*j + 4*a + 128 - 167 = 0. What is the remainder when m is divided by j?
5
Suppose 25*j + 10015 = -99*j + 126327. Calculate the remainder when j is divided by 3.
2
Suppose 5*m + 0*c = -2*c + 20, -2*c = -2*m + 8. Suppose -3*b = -h - 1, -m*b = h - 10 - 10. What is the remainder when h/16 + (1 - 518/(-4)) is divided by 27?
23
Let c = 205 + -203. Let y(b) be the second derivative of 13*b**4/6 + 5*b**3/6 - 5*b**2/2 + 4*b. Calculate the remainder when y(c) is divided by 11.
10
Let m(z) = z**2 + 3*z + 2. Suppose 0 = -9*t + 48 - 12. Suppose -8 = -2*g + 3*u - 2*u, -t*u - 24 = -4*g. Calculate the remainder when 93 is divided by m(g).
9
Calculate the remainder when ((-2)/(-8) - 0)/((-34)/(-61472)) is divided by 150.
2
Suppose -4594 = -2*a - s, 223*s - 222*s + 6 = 0. What is the remainder when a is divided by 48?
44
Let c(u) = -44*u - 33. Let d be c(4). Let g = d - -297. What is the remainder when g is divided by 15?
13
Let x(b) = -6*b**3 - 2*b**2 + 12*b + 352. What is the remainder when x(0) is divided by 49?
9
Suppose -19*s - 3*n = -23*s + 262, -12 = 2*n. Calculate the remainder when 7867 is divided by s.
59
Suppose 3*v + 3*k - 150 = 0, k - 241 + 27 = -5*v. What is the remainder when 279 is divided by v?
33
Calculate the remainder when 376 is divided by 28/(-36)*-9*8.
40
Suppose -2*w - 62*w + 7360 = 0. What is the remainder when 336 is divided by w?
106
Suppose 43*q - 111*q 