 1/(-7) is divided by 12.
3
Let f = 24887 + -24725. What is the remainder when 1779 is divided by f?
159
Let t = 1203 - 374. Suppose -827*s = -t*s + 180. Suppose 3*v - 52 = -v. What is the remainder when s is divided by v?
12
Suppose 2*a - 5 = a, a = -3*z + 5. Suppose z*q - 4*q - 6 = v, v + q = 0. What is the remainder when 73 is divided by 33 + 4 + (2 - v)?
36
Let d(p) = 2*p**3 + 86*p**2 - 14*p - 441. Calculate the remainder when 465 is divided by d(-43).
143
Suppose 2*b - 26*b = -1368. Suppose -18*j + 249 = -b. What is the remainder when 114 is divided by j?
12
Let f(n) = n**3 - 30*n**2 + 29*n + 18. Let l be f(29). Suppose l*s = 289 + 251. Calculate the remainder when 149 is divided by s.
29
Let s be 34/34 - (-708)/2. Suppose 260*g - 255*g = s. What is the remainder when 351 is divided by g?
67
Suppose 900*f = -11*f + 22827 - 7340. Let m(h) = 67*h. Calculate the remainder when m(1) is divided by f.
16
Suppose -2568 = -4*g + 3*c, 0 = -g + 828*c - 831*c + 657. Calculate the remainder when g is divided by 11.
7
Let h(l) = 3*l**2 - 12*l - 42. Let o be h(-6). Let x = -143 + o. Let s = 27 + x. What is the remainder when 174 is divided by s?
20
Suppose -n + 4 = 1. What is the remainder when 429 is divided by -6*(n + (-14 - -2))?
51
Let t = -207 - -241. Calculate the remainder when (-8)/68 + (2 - (-4118)/t) is divided by 42.
39
Let r be 30/36 + 5/30. What is the remainder when 58 is divided by (-10)/(-35) + r/(7/138)?
18
Suppose -n + 2*v = -220, 6*n - 4*v = 18*n - 2472. What is the remainder when 1243 is divided by n?
203
Let q(r) = -7*r**2 + 100*r + 30. Let y be q(15). Let p = -10 + 15. Calculate the remainder when 223/p + 27/y is divided by 9.
8
Suppose -356 = -2*g - 4*d, 3*d = -d + 12. Calculate the remainder when 54 is divided by g/6 + 1/3.
25
Suppose -x + 622 = w, -3*w - 5*x + 1946 = 70. Calculate the remainder when w is divided by 27.
23
Calculate the remainder when (-3992)/(-2) + (-219)/(-73) is divided by 143.
140
Suppose l - 4*p + 29 = 0, -l - 40 = -5*p - 9. Suppose -3640 = 253*k - 218*k. Let f = l - k. What is the remainder when f is divided by 28?
27
Let b = 7689 - 7515. What is the remainder when 513 is divided by b?
165
Let r(c) = 5*c**3 + 2*c**2 + 4*c - 5. Let v be r(-2). Let d = -118 + 71. Let w = v - d. What is the remainder when 9 is divided by w?
1
Let k = 6610 + -6526. What is the remainder when 324 is divided by k?
72
Suppose 0 = 6*y + 60 + 54. Let u = y - -68. What is the remainder when u is divided by 9?
4
Suppose 0 = 13*w - 33*w + 280. What is the remainder when 257 is divided by -9*((-10)/w + 26/(-91))?
5
Let p(t) = -679*t + 3542. Calculate the remainder when 555 is divided by p(5).
114
Let r(i) = 3*i**3 - 26*i**2 - 39*i - 1. Suppose -f - p + 30 + 4 = 0, -5*f - p + 186 = 0. Calculate the remainder when f is divided by r(10).
2
Suppose 52*x - 44*x - 16 = 0. Suppose 21*u - x*u - 171 = 0. Calculate the remainder when 51 is divided by u.
6
Let z(t) = 709*t + 44. What is the remainder when z(2) is divided by 32?
22
Suppose -x - 3*x - 3*w + 13 = 0, -5*x = -2*w - 22. Suppose 9 + 15 = x*k. Let g = 87 + -35. What is the remainder when g is divided by k?
4
Let q = 3 - 4. Let h = q - -15. Let o(j) = -391*j - 23797. What is the remainder when o(-61) is divided by h?
12
Let v be (-4 - 5)*(-5)/(50/140). Suppose 4*j = 4*d - 200, 4*d - 68 = -2*j + 102. Let i = v - d. What is the remainder when i is divided by 12?
9
Suppose 0*p + 9 = 3*p. Suppose -2*b - w = -21, -5*w - 12 - p = 0. Suppose z - 2*v - 1 = 0, -11 = -3*z - v + 3*v. What is the remainder when b is divided by z?
2
Suppose -4*l - 480 = 4*y, 4*l - 4*y + 7*y + 477 = 0. Let m = -66 - l. What is the remainder when m is divided by (0 - -4) + -2 - -17?
13
Let j = -278 - -100. Suppose 9*l - 13*l = 400. Let u = l - j. Calculate the remainder when u is divided by 16.
14
Let a(t) = 17*t - 80. Let i be a(12). Let j = i + -94. Calculate the remainder when j is divided by 13.
4
Let f = 18 + -15. Suppose 4*g - f*m + 2*m = 14, 0 = -5*m + 10. Suppose -g*c - 54 = -150. What is the remainder when 44 is divided by c?
20
Suppose -2*x = -4*l - 668, x + 87*l - 304 = 84*l. What is the remainder when x is divided by 38?
18
Suppose 0*s - 5*u + 165 = 4*s, 5*s - 204 = -4*u. Let j = s - 26. Calculate the remainder when (-9324)/(-180) - (-1)/5 is divided by j.
10
Suppose -5*s = 3*x - 32, 10*s - 11*s + 24 = 5*x. Suppose s*n - a = 9*n - 135, -3*n = -5*a - 81. Calculate the remainder when 296 is divided by n.
26
What is the remainder when ((-26828)/(-57))/((-1)/(-3)) is divided by 238?
222
Let j = -442 + 448. What is the remainder when 447 is divided by j?
3
What is the remainder when (3 + (-14)/6)/((-12)/(-12888)) is divided by 118?
8
Suppose 62*n = 129*n - 62*n - 57590. What is the remainder when n is divided by 30?
28
Let s(z) = 124 - 78 + 97 - z. What is the remainder when s(12) is divided by 46?
39
Suppose -3*r + 251 = p, 0 = -p + 5*p - 3*r - 1034. What is the remainder when p is divided by (4 - (-50)/15)*9/1?
59
Let l = 106 - 49. Suppose -n - n = 2, n + 19 = -3*c. What is the remainder when l is divided by (-4536)/(-228) - c/57?
17
Let c = 777 + 49. Let n = c + -800. What is the remainder when 778 is divided by n?
24
Suppose -n + 33 = -5*g, 5*g = -5*n + 5 + 280. What is the remainder when 413 is divided by n?
42
What is the remainder when 2202 is divided by (-11 - (-100)/8)/((-15)/(-790))?
69
What is the remainder when ((-15)/(-12))/(1/16444) - 4 is divided by 31?
29
Let x = 29380 - 17738. What is the remainder when x is divided by 4?
2
Suppose 5*j + 3*k - 73 = 0, 0 = 5*j - 0*j - 5*k - 65. Let y(n) = 2*n**3 + 33*n**2 + 85*n - 10. Calculate the remainder when y(-13) is divided by j.
12
Let a(g) = 5*g**2 + 3*g + 7. Suppose 0 = -3*c - 4*z + 12, 0 = z - 0*z. What is the remainder when -15*c/(-8)*4 is divided by a(-2)?
9
Suppose 19*d = -42*d + 6*d + 14960. What is the remainder when d is divided by 86?
14
Let o(i) = 141*i + 492. What is the remainder when o(8) is divided by 14?
10
Suppose 0 = -27*t + 3905 + 2872. Calculate the remainder when t is divided by 52.
43
Let z(d) = 2*d + 56. Let m be z(-23). Suppose 2*b = 4*q + 12, -4*b + 3*b = -3*q - m. What is the remainder when 18 is divided by (-1)/b*(3 - -9)?
0
What is the remainder when (48832/(-1568))/((-4)/14) is divided by 50?
9
Suppose 11*d - 12 = 131. Suppose 23 - 38 = -5*l. What is the remainder when d is divided by l?
1
Calculate the remainder when 196 is divided by (11 + -79)*(-15)/30.
26
Let b(o) = 2*o**2 + 7*o + 5. Let x be b(-4). What is the remainder when (2/(-8) + x/(-12))*-34 is divided by 13?
8
Calculate the remainder when 697 is divided by (11 - (-32)/(-8))*9.
4
Let u(d) = 2806*d + 2288. Calculate the remainder when u(3) is divided by 43.
42
Suppose 0 = -4*m - 20, 3*p + 0*p + 2*m - 14 = 0. Suppose 0 = -2*x - p + 46. Calculate the remainder when 147 is divided by x.
14
Suppose -2*c - 41 + 89 = 2*l, 5*l - 39 = -2*c. Let k(v) = -4*v**3 - 2*v**2 + 3*v + 3. What is the remainder when k(-4) is divided by c?
26
Suppose -148*r + 83*r = 273*r - 4056. What is the remainder when 5855 is divided by r?
11
Let g(i) = -70*i - 76. Let z be g(-7). Suppose z = 26*f - 392. Calculate the remainder when 100 is divided by f.
7
Calculate the remainder when 5/5*63 - -5 is divided by ((5130/(-40))/(-19))/((-3)/(-8)).
14
Suppose -109*j + 4*q - 9384 = -114*j, 0 = -3*j - 2*q + 5628. Calculate the remainder when j is divided by 156.
0
Let t = -102 + 105. Suppose 4*y - 182 = -3*d, -10*d - 151 = -t*y - 5*d. Calculate the remainder when 88 is divided by y.
41
Let w(x) = -x**2 + 41*x - 91. Let m be w(37). Let g = m + -35. Calculate the remainder when 63 is divided by g.
19
Suppose -13 = -z - 5. Suppose -3*r = -2 + z, -r - 17 = -3*g. Suppose -g*m + 29 = 14. Calculate the remainder when 13 is divided by m.
1
Let x(y) = -492*y - 2285. What is the remainder when x(-7) is divided by 182?
67
Let o = -51 + 55. What is the remainder when 261/(-29)*10/(-3) is divided by o?
2
Let x = 78 + -77. Let p be (1 - x)/(3 + (-3 - -1)). Suppose -5*q + 0*u = 2*u - 165, p = 5*u. What is the remainder when q is divided by 17?
16
Let o = 4468 + -4074. Let x(q) = 5*q**2 - 7*q - 12. What is the remainder when o is divided by x(-2)?
20
Suppose 2*v + 4*z + 98 = 5*z, 2*v + z = -102. Let q = -115 + 194. Le