 - y*r - 3*c = -187, -185 = -5*r - 5*c. Calculate the remainder when 112 is divided by r.
36
Let z(l) = -6*l - 201. Calculate the remainder when 414 is divided by z(-36).
9
What is the remainder when (38/57)/(-1 + 3) - 40890/(-45) is divided by 101?
0
Suppose 0 = -d + u + 11 + 55, 3*u + 264 = 4*d. Let s = 8282 - 8344. Let a = s + d. Calculate the remainder when 27 is divided by a.
3
Let j = -32 - -253. Suppose -2*b + 3592 = 5*h + 3473, 0 = b + 5*h - 82. What is the remainder when j is divided by b?
36
Suppose 4*v + 43*n - 6226 = 48*n, 5*n = -v + 1569. What is the remainder when v is divided by 65?
64
Suppose 4 = -21*p + 23*p. Suppose 8 + 8 = 2*l - m, 16 = p*l - 4*m. Suppose -2*b + 40 = -l. What is the remainder when 46 is divided by b?
22
Suppose 0*t - 1374 = -6*t. Let v = t + -221. What is the remainder when 18 is divided by v?
2
Let l(o) = -o**3 - 6*o**2 + 11*o + 27. Let i(s) = -2*s**2 - s + 44. What is the remainder when l(-8) is divided by i(0)?
23
Suppose -33*t + 2*f = -32*t + 2, -5*t - 2*f + 50 = 0. Calculate the remainder when 379 is divided by t.
3
Let b(u) = u**2 + 5*u. Suppose 0 = -6*t - 18 - 234. Let c = t - -35. What is the remainder when 54 is divided by b(c)?
12
Let z = -65 + 76. Let l be (11 - 11)/(-1 - -3). Suppose l = v - 2*t - 21, 2*v = -5*t + 36 + 24. Calculate the remainder when v is divided by z.
3
Suppose -5*k = -15 - 180. Let m(p) = -14*p + 35. Let r be -5 - (-6 - (5 - (0 - -5))). Calculate the remainder when k is divided by m(r).
18
Suppose 21 = a - 0*a + w, w = 0. Suppose 0 = -20*j + a*j - 8. Let c = j + -5. What is the remainder when c is divided by 2?
1
Suppose 18*s - 1761 = -735. What is the remainder when 3015 is divided by s?
51
Suppose -19*c - 21505 + 96728 = -12272. Calculate the remainder when c is divided by 48.
45
Let f(b) = -394*b + 300. Let y(m) = 44*m - 33. Let u(v) = -6*f(v) - 52*y(v). What is the remainder when u(4) is divided by 33?
22
Let y = 10723 - 10711. Calculate the remainder when 319 is divided by y.
7
Let d = -34 + 45. What is the remainder when (66 + d)/((6/(-2))/(-3)) is divided by 8?
5
Let y = 236749 - 236682. Suppose -4*l - 5*c = -517, c = 2*c + 3. Calculate the remainder when l is divided by y.
66
Let f = 412829 + -412779. What is the remainder when (-102)/(-4)*(-44)/(-6) is divided by f?
37
Let a(q) = q**2 - 3*q - 3. Let i be a(4). Let x(p) = 37*p**2 - 2*p + 2. Calculate the remainder when 6/9 + 316/3 is divided by x(i).
32
Let u(l) = l**2 - 15*l + 99. Let v be (-21)/(-2) + 15/(-10). What is the remainder when u(v) is divided by 7?
3
Suppose -35*h + 29*h = 876. Suppose -4*x - 16 = 4*n, x + 3*n + 2*n = 0. Calculate the remainder when 83 is divided by (-4)/20 + h/x.
25
Let h(l) = 66*l**3 + 18*l**2 - 16*l - 2. Calculate the remainder when 207 is divided by h(1).
9
Let y(s) be the second derivative of s**5/10 - s**4/6 + s**3/2 + s**2 - 8*s. Let x be ((-4)/8)/((-1)/4). What is the remainder when 47 is divided by y(x)?
15
Let u(j) be the first derivative of j**3/3 - 5*j**2/2 - 6*j - 6. Let c be u(11). What is the remainder when ((-66)/44)/((-1)/c) is divided by 13?
12
Let u(f) = -71*f**2 - 9*f - 28. Let y be u(-3). Let v = y - -657. Let k = -9 + 39. Calculate the remainder when k is divided by v.
13
Suppose 3*m = -m - 5*a + 257, 252 = 4*m + 4*a. Suppose -m - 40 = -7*p. What is the remainder when 83 is divided by p?
13
Suppose -6*z + 2820 = 3*k, -484 = 3*z - 4*z - 4*k. Calculate the remainder when z is divided by 156.
0
Let f(j) = -2*j**2 - 10*j - 92 + 106 + 3*j**2. What is the remainder when f(-8) is divided by 33?
26
Suppose 75 = l + 4*l. Calculate the remainder when (-79)/(2370/(-1200)) - 16 is divided by l.
9
Suppose 6*c - 8*c + 3257 = -3*w, -w + 1621 = c. What is the remainder when c is divided by 273?
259
Suppose 15499*d = 15510*d - 1980. What is the remainder when d is divided by 56?
12
Suppose 22*v - 418 = 3*v. Let l be 5 + -6 + 113/1. Suppose 0 = -5*b - 3*d + 645, -b = 3*d - l - 17. Calculate the remainder when b is divided by v.
19
Let h = -25 - -26. Let f be 1 - (-54)/(-2 - h). Let j(b) = -b**2 - 21*b - 30. What is the remainder when j(f) is divided by 10?
8
Let r(l) be the second derivative of -2*l**3/3 + 121*l**2/2 + 154*l. What is the remainder when 206 is divided by r(12)?
60
Let k(b) = -122*b**2 + 126*b**2 + 0*b + 3 + 2*b. Let d be k(4). Let x = d - 74. Calculate the remainder when 4 is divided by x.
0
Suppose 7291 = 12*c + 78*c - 15389. Let u = -12 + 36. What is the remainder when c is divided by u?
12
Let n(a) = 25*a - 55. What is the remainder when n(6) is divided by (-3 - (-516)/15) + 66/110?
31
Suppose -2*g - 38 - 45 = -5*r, 25 = 3*r + 5*g. Let u = -455 - -458. Calculate the remainder when (-1)/(r/(-12) - -1) is divided by u.
1
Let k = -319 - -324. Suppose -a - 3*n + 75 = 0, -k*a + 333 + 66 = 3*n. What is the remainder when a is divided by (-310)/(-18) - (-6)/(-27)?
13
Suppose -9*f = -4 - 131. Suppose -8*h - f*h + 3611 = 0. What is the remainder when h is divided by 40?
37
Suppose -17 = -y - 2. Let l = -354 + 640. Suppose -l + 110 = -k. Calculate the remainder when k is divided by y.
11
Let t(x) = 21*x**2 - 79*x - 80. What is the remainder when 916 is divided by t(-1)?
16
Calculate the remainder when (-304)/1976 - (-2 - 184/13) is divided by 2/(-5) + 62/5.
4
Calculate the remainder when 470 is divided by 61 + (64/12 - 18/(-27)) - -4.
44
Let p(s) = 16*s + 116. What is the remainder when 17/((-119)/(-42)) - -231 is divided by p(-6)?
17
Suppose 4*y - 1498 = -5*w, 557*w = 556*w + 2*y + 280. Calculate the remainder when w is divided by 18.
6
Let m = 10360 + -10234. Calculate the remainder when 206 is divided by m.
80
Suppose -5*v - 3*w + 78 = 347, 222 = -4*v + w. Let b = v + 106. Calculate the remainder when b is divided by 26.
25
Let b(p) = -2*p**3 + 129*p**2 + 66*p - 59. Let a be b(65). Calculate the remainder when (-36)/54 + 1330/a is divided by 16.
13
Let t = -348 + 874. What is the remainder when t is divided by ((-318)/(-27))/((-56)/(-252))?
49
Suppose v + 374 = r, 847*r - 742 = 845*r + 5*v. Calculate the remainder when 520 is divided by r.
144
Let k be ((-18504)/(-54))/(4/6). Let t = 186 + -177. Suppose t*u + k - 1720 = 0. What is the remainder when u is divided by 27?
26
Let u = 59 + -56. Suppose 30 = w - 2*v, -3*v - v = -u*w + 80. Suppose w*j = 13*j + 35. What is the remainder when j is divided by 3?
2
Let i(t) = t**3 - 12*t**2 + 15*t + 33. Let u(b) = b**2 + 8. Let z be u(2). What is the remainder when i(z) is divided by 12?
9
Let o be (-15)/(-2)*4/6. Let m = 7 - -187. Calculate the remainder when m is divided by 15*5/2*2/o.
14
Suppose -v + 3*q + 370 = 0, 3*q - 160 + 151 = 0. Calculate the remainder when v is divided by 313.
66
Let s = -7798 + 7857. Calculate the remainder when 2418 is divided by s.
58
Let f(v) = 120 + 5*v - 5*v - 4*v - 41 - v. What is the remainder when f(9) is divided by 19?
15
Suppose -2*r + 5*k = 33 - 247, 110 = r - 4*k. Suppose -21*q = -22*q + 1, 5*z - 3*q - r = 0. What is the remainder when 270 is divided by z?
18
Suppose 0 = 5*z - 5*k - 125, -53 = -3*z + k + 16. Let p(l) = -4*l - 6. Let c be p(-4). Suppose -h = h - c. Calculate the remainder when z is divided by h.
2
What is the remainder when 269 is divided by (1232/(-56))/((-1)/12)?
5
Let x(y) = -128*y**3 - 7*y**2 - 19*y - 14. Calculate the remainder when x(-2) is divided by 14.
12
Suppose 2*v + 2*o = 16, -2*v = -7*v + 5*o + 80. Suppose 0 = v*f - 1300 + 328. What is the remainder when f is divided by 21?
18
Suppose 0 = 20*n + 171 - 335 - 1756. What is the remainder when 200 is divided by n?
8
Let x(p) = -30*p + 216. Let y be x(7). What is the remainder when (-62)/(-372) - (-461)/y is divided by 29?
19
Let l = -5361 + 5554. What is the remainder when 615 is divided by l?
36
Let u(m) = -6*m + 4. Let w = 149 + -156. Calculate the remainder when 318 is divided by u(w).
42
Suppose -85*n = -8030 - 39315. Calculate the remainder when n is divided by 146.
119
Let b(l) = -265*l - 22. Let t be ((-12)/7)/(2/7). Let v be b(t). Suppose 3*n = -11*n + v. Calculate the remainder when n is divided by 31.
19
Let g = 5 + 10. Let d = 33 + 24. Suppose -4*s - 4*m + 114 = -2*s, -4*m = -s + d. What is the remainder when s is divided by g?
12
Let t = 2052 + -2039. Let p be -1*(169 - (-1 + -1)). Let s = 246 + p. What