4.
78
Calculate the remainder when (-489216)/(-780) + 4/5 is divided by 214.
200
Let b(o) = -5*o**3 - 2*o**2 - 10*o - 35. Let p be b(-4). Suppose 23*y - p = 351. Calculate the remainder when 76 is divided by y.
20
Suppose -469 - 799 = -2*l. What is the remainder when l is divided by 28*792/420 - ((-19)/(-5) + -4)?
51
Let v(w) = -372*w + 130. What is the remainder when v(0) is divided by 21?
4
Suppose 4*z = k + 812 - 296, z + k - 134 = 0. What is the remainder when 401 is divided by z?
11
Suppose 0 = -2*u + 3*u + 2*u. Suppose u = -5*j - 0*j - 65. Calculate the remainder when 89 is divided by j*(-1)/(-2 + 3).
11
Let z(t) = -154*t - 2016. What is the remainder when z(-14) is divided by 3?
2
Suppose 164*j - 176*j = -984. Suppose 2*u + 94 + 36 = 0. Let m = j + u. Calculate the remainder when 82 is divided by m.
14
Suppose 10*m - 4308 = 4*m. Calculate the remainder when m is divided by 25.
18
Let d = -906 + 896. Calculate the remainder when (6 - 915/d) + (-5)/10 is divided by 25.
22
Let v = 6196 + -6142. Calculate the remainder when 186 is divided by v.
24
Suppose -3180 = -56*g - 21*g + 24*g. Calculate the remainder when 123 is divided by g.
3
Let l = -395 - -570. Suppose -3*g + l = 5*r, -123 = -2*g + 5*r - 2*r. Calculate the remainder when g is divided by 22.
16
Suppose -51*k = 4*g - 49*k - 64, 4*g - 5*k = 78. What is the remainder when ((-18)/(-45))/(2/540) is divided by g?
6
Let t(f) = 26*f - 4. Suppose 21 = b - 5*m + 4*m, 1 = b + 4*m. Suppose -j = 3*i - 5*j - 64, -3*j = i - b. Calculate the remainder when t(3) is divided by i.
14
Let o = 116 - 257. Let n = o + 162. What is the remainder when n is divided by (1 + 8)/(6/4)?
3
Let q(a) = 3*a**2 + 10*a + 30. Suppose 12*w = 7*w - 30. Calculate the remainder when q(w) is divided by 8.
6
Suppose 11*f = -16 - 6. Calculate the remainder when 154 is divided by (-2)/6*150/f + 1.
24
Let c = -302 - -335. Suppose c*w = 31*w + 22. Calculate the remainder when 27 is divided by w.
5
Let o(k) = k**3 - 3*k**2 - 9*k + 18. Let z be o(4). What is the remainder when 2 + 2/z - (-511)/7 is divided by 22?
8
Suppose 5*x + 7*k - 415 = 2*k, -3*x + 2*k = -279. Calculate the remainder when 227 is divided by x.
49
Let j(g) = -g**3 - 6*g**2 - 4*g + 10. Let z be j(-4). Let p be (-47 - -1)/(z/(2 + 1)). Suppose k = -20 + p. What is the remainder when 5 is divided by k?
2
Let v(x) = x**3 - x**2 - 12*x - 13. Let p(j) = 6*j + 23. Let d be p(-3). What is the remainder when 53 is divided by v(d)?
26
Suppose -2*h + 141 - 31 = 0. Suppose -h = -2*y + 37. What is the remainder when y is divided by 12?
10
Suppose 5*q - 23 - 7 = 0. Suppose -7 = -y + q. Let n(r) = 12*r + 19. Calculate the remainder when y is divided by n(-1).
6
Suppose -9*l - 96 = -11*l. Suppose 2*f = d + 2*d - l, -d - 5*f = 1. Suppose y - d = 5. Calculate the remainder when 56 is divided by y.
18
Suppose 0 = -2*h + 10, 5*g - 5*h = 34 + 1. Calculate the remainder when 297 is divided by (-1)/((-5)/(-4))*(-150)/g.
7
Let o = 16 - 18. Let y(f) = f + 2. Let d be y(o). Suppose -3*b + 154 + 41 = d. Calculate the remainder when b is divided by 23.
19
Let b(q) = 835*q**2 - 13*q + 14. Calculate the remainder when b(1) is divided by 382.
72
Suppose -29*c = 57*c - 3268. What is the remainder when 1132 is divided by c?
30
Suppose x - 37 + 18 = 0. Let a be 9 - -1 - 4 - 4. Suppose -2*r - 4*z = -76, -4*r + a*z - 35 = -177. Calculate the remainder when r is divided by x.
17
Suppose -51 = -4*t - j, 6*t - 69 = t - 3*j. Calculate the remainder when (256/t)/(16/72) is divided by 4.
0
Let j(n) = -n**3 + 10*n**2 - 20*n - 3. Suppose 0*i + 362 = 3*q + 5*i, 2*q + 4*i - 238 = 0. What is the remainder when q is divided by j(5)?
19
Let k be -14 + 8 + 1 + (165 - 1). Suppose -k*h = -155*h - 516. What is the remainder when h is divided by 34?
27
Let h = -321 - -326. Suppose -l = -2*n + 28, -3*n = h*l - 4*l - 37. What is the remainder when 23 is divided by n?
10
Suppose -52*f - 4*k = -48*f - 196, 4*f + 7*k = 193. Calculate the remainder when f is divided by 14.
8
Suppose -48 - 430 = -2*m. Calculate the remainder when m is divided by 10.
9
Let d(z) = -z**2 - 23*z - 36. Let n be d(-19). Suppose 26*m + n = 31*m. Suppose -3*u = -m*u + 20. Calculate the remainder when 9 is divided by u.
1
Let t(z) = 8 + 3 + z**2 - 751*z + 745*z. Calculate the remainder when 28 is divided by t(5).
4
Let h be 6 + 2 + -5 - 658. Let c = 659 + h. What is the remainder when 24 is divided by c?
0
Let h be -3*(-1064)/(-63) - (-1)/(-3). Suppose 4*q + 132 = -100. Let j = h - q. Calculate the remainder when 15 is divided by j.
1
Let d(c) = 2*c**3 - 3*c**2 + c - 1. Let g be d(4). Suppose -77*a = -g*a + 828. What is the remainder when a is divided by 28?
26
Suppose -9*d + 1557 + 192 = 5*t, -2*t = -4*d + 752. Calculate the remainder when 547 is divided by d.
165
Let g be (-16)/(-12)*8184/16. Suppose 0 = 12*u - 470 - g. Calculate the remainder when u is divided by 21.
12
Suppose -3*d = -97 - 188. Let j = -505 + 518. Suppose 129 = j*b - 196. Calculate the remainder when d is divided by b.
20
Let g(t) = 2*t**2 - 4*t - 3. Let q(o) = o**3 + 67*o**2 - 138*o + 5. Calculate the remainder when g(5) is divided by q(-69).
2
Let u(w) = w**2 - 7*w + 8. Let a be u(6). Suppose p + 3*p = a*d - 38, -83 = -5*d + 4*p. What is the remainder when (-410)/(100/(-10))*1 is divided by d?
11
Let x be (-238 + -14)/((-2)/11). Let f = x - 519. What is the remainder when f is divided by 87?
84
Suppose 127*m + 3271 - 8224 = 0. Let q(w) = 151*w**2 + w. What is the remainder when q(-1) is divided by m?
33
Suppose -8*p - 20277 = -22653. Calculate the remainder when p is divided by 25.
22
Let s(t) = 9*t - 123. Let i be s(14). Suppose i*o = 3*v + 528, -346 = -2*o - 4*v + 9*v. What is the remainder when o is divided by 36?
34
Suppose -424*z + 4 = -422*z. Suppose 2*f = -3*h + 16, -3*h - z*h = -f - 5. What is the remainder when 5 is divided by h?
1
Let k = 18957 - 18939. What is the remainder when 99 is divided by k?
9
Suppose 70 - 298 = -4*w. Let o be -2 - 5 - (-21)/3. Suppose -63 = -5*m - 4*d, o = 2*m - 2*d - 0*d - 36. What is the remainder when w is divided by m?
12
Suppose 10*v = 67*v - 285. Let h(u) = -u**3 + u**2 + 7*u + 5. Calculate the remainder when h(-7) is divided by v.
3
Suppose 320 = 3*u + h, u = -h - 226 + 330. Calculate the remainder when 219 is divided by u.
3
Let b(m) = 2*m**2 + 98*m + 1040. What is the remainder when 6015 is divided by b(-34)?
15
Let l(h) = h**3 + 85*h**2 + 70*h - 421. Calculate the remainder when l(-84) is divided by 233.
56
Let u(g) = -5*g**3 + 2*g + 2. Suppose 148*a - 9938 - 6959 = 2047. What is the remainder when a is divided by u(-2)?
14
Let q = 2237 + -2199. What is the remainder when 1397 is divided by q?
29
Let q = -1372 - -1154. Suppose 96 = -0*j + 3*j. What is the remainder when ((-111)/148)/((-3)/16) - q is divided by j?
30
Let v(i) = 13*i**2 + 239*i + 67. Calculate the remainder when v(-22) is divided by 62.
47
Let k = -415 - -620. Let o = -200 + k. What is the remainder when 32 is divided by o?
2
Let j = 14 - -15. Suppose -3*g + 111 = 3*f, -3*g = -f - 8*g + j. Calculate the remainder when f is divided by 225/11 - (-42)/77.
18
Let k = -3654 - -3663. Suppose -4*i - 1 = -101. What is the remainder when i is divided by k?
7
Suppose 2*v + 5*l = -815, -2*l - 971 + 159 = 2*v. Let o = -356 - v. Calculate the remainder when 289 is divided by o.
44
Let b(f) = -19*f - 1162. What is the remainder when 74 is divided by b(-64)?
20
Suppose 746 + 474 = 6*a - 562. What is the remainder when 309 is divided by a?
12
Suppose 175*b - 190*b + 315 = 0. What is the remainder when 207 is divided by b?
18
Let i = 80074 - 45812. Calculate the remainder when i is divided by 55.
52
Suppose -207*j - 74073 = -233*j - 10451. Calculate the remainder when j is divided by 98.
95
Let x be ((-9)/(-2))/((-39)/(-26)). Suppose 60 = x*c - j, -44 = -2*c + j - 3. What is the remainder when 131 is divided by c?
17
Let a(p) = 47 + 43 - 59 - 30*p + 32*p. Suppose 3*u + 28 = -u. Calculate the remainder when 48 is divided by a(u).
14
Let k(s) = 3*s**2 + 2*s + 1. Let a be k(-1). Suppose -j + 3*i = i + 17, 4*j - a*i + 50 = 0. Let z = 11 - j. Calculate the remainder when 87 is divided by z.
21
Let r(o) = 5*o + 1. Let l(x) = x**3 + 3*x**2 + 2*x + 4. Let p be l(-3). Let z be (p + (-