
Let f(m) = 2*m**2 - 63*m + 428. Let t(z) = 24*z + 21. Let j(w) = -7*w - 6. Let u(y) = -18*j(y) - 5*t(y). What is the remainder when u(6) is divided by f(22)?
9
What is the remainder when (-633570)/(-22) - (-1840)/5060 is divided by 100?
99
Let x(a) = -a**2 - 7*a + 33. Let o be x(-10). Suppose 4*s = -6*p + 10*p + 76, -5*s + 63 = o*p. What is the remainder when 118 is divided by s?
13
Let x(q) = -q**2 - 10*q + 59. Let t be x(-14). Suppose -t*a + 259 = 2*p, -2*a + 3*p = -0*p - 177. Calculate the remainder when a is divided by 13.
9
Let f(p) = -p**3 + 12*p**2 - 18*p - 41. Calculate the remainder when 517 is divided by f(7).
49
Suppose 5*w - 121 - 169 = -5*y, 3*w - 4*y - 188 = 0. Calculate the remainder when (-3)/(-30) - (-11274)/w is divided by 98.
90
Let y be (-136)/48 - (4 + 23/(-6)). Let j(x) = 3*x**2 + 6*x + 19. Calculate the remainder when j(y) is divided by 18.
10
Suppose -5*s - 730 = 5*v, 2*v + 324 = -4*s - 252. Let z = s + 151. Calculate the remainder when 76 is divided by z.
4
Calculate the remainder when (1424/(-5))/(183/(-3660)) is divided by 228.
224
Let f = 38 + -35. Suppose 514 = 2*w + 4*m, f*w - 3*m - 778 + 16 = 0. Suppose w = 2*l + 3*l. Calculate the remainder when l is divided by 19.
13
Let f = 535 + 489. Calculate the remainder when f is divided by 103.
97
Let u(n) = 3*n**3 - 7*n**2 + 2*n - 7. Let v be u(5). Suppose -v = 9*f - 1265. Calculate the remainder when f is divided by 31.
25
Let l(s) = 2*s**2 + 4*s - 22. Let p(z) = -12*z - 21. What is the remainder when l(-6) is divided by p(-3)?
11
Let d(b) = 6*b**3 + 25*b**2 - b - 38. Let n(w) = -w**3 - 5*w**2 + 8. Let o(p) = 2*d(p) + 11*n(p). What is the remainder when 179 is divided by o(6)?
35
Suppose 0*g - 4*g + 372 = -3*t, -3*g + 279 = 4*t. What is the remainder when g is divided by (-422 - -427)*12/10?
3
Let v = 3605 + -3580. What is the remainder when 271 is divided by v?
21
Suppose -2*a + 84 = 2*n - 238, -3*n - a + 493 = 0. Suppose n - 926 = -19*w. Calculate the remainder when 149 is divided by w.
29
Suppose -48 = -5*g + 2*t, 72 = 4*g - 17*t + 21*t. Calculate the remainder when 523 is divided by g.
7
Let q = -63 - 222. What is the remainder when (-44)/(-22) + (0/2 - q) is divided by 72?
71
Suppose 2*w = 5*c - 2433 + 213, 3*c + 4*w - 1306 = 0. Suppose 6*n + c = 1564. Suppose n - 1037 = -5*o. What is the remainder when o is divided by 57?
56
Let t be 34*(75/10)/(-5). Let g = t + 59. Suppose 7*u + 15 = g*u. What is the remainder when u is divided by 11?
4
Suppose 37 = -4*v + 9. Let x(h) = -12*h - 7. Calculate the remainder when x(v) is divided by (2/(-2))/(26/(-416)).
13
Calculate the remainder when (-4654)/(-34) + (-20)/(-170) is divided by (560/(-168))/((-46)/42 + 1).
32
Suppose -4*p - 2105 = -5*v, 22*v - 25*v = p - 1263. Calculate the remainder when v is divided by 138.
7
Let p(d) = -7*d + 23. Let i be p(3). Suppose -8*q + 10*q = z - 51, 0 = -2*z + i*q + 92. What is the remainder when 154 is divided by z?
31
Let i be 16 + (0 + -4 - -3). Suppose -4*d - 3*h + 63 = 0, 2*h - i = -d + h. Calculate the remainder when d is divided by 19/3 - ((-24)/(-18) + -2).
4
Suppose -230*z + 57236 = 12386. Calculate the remainder when 13062 is divided by z.
192
Suppose y + 0*m = -5*m - 17, -2*y - 6 = 3*m. Suppose 5*o + 305 = -5*k, -y*o = -k + 91 + 72. What is the remainder when 36 is divided by 9/12*o/(-3)?
8
Suppose 25*t - 112 = 26*t. Let j = t - -188. Let c = j - 37. Calculate the remainder when c is divided by 10.
9
Suppose -3*c + 2*b + 16 = 0, -2*b - 12 = -c + 2*b. Let i = c + 2. Let r(u) = -3*u**2 - 486*u - 15561. What is the remainder when r(-44) is divided by i?
3
Suppose -2*t = -3*d + 2498, 1677 = -7*d + 9*d + t. What is the remainder when d is divided by 8?
4
Calculate the remainder when (-2 - 0 - 0)*81/(-2) is divided by 24.
9
Let w(b) = -422*b - 241. What is the remainder when w(-1) is divided by 79?
23
Suppose 4*b + 4*w = b + 19, 3*w = -2*b + 12. Suppose 0 = 616*i - 6210 - 6726. What is the remainder when i is divided by b?
3
Let c be 3 - (-7 + 3) - 4. Suppose 5*f - h = 221 - 63, -f - c*h = -22. What is the remainder when f is divided by 11?
9
Let g = 6997 + -6645. What is the remainder when g is divided by 16?
0
Let w(l) = 3*l**2 + 9*l - 37. Let a(k) = k**2 + 16*k + 38. Let n be a(-12). What is the remainder when w(n) is divided by 44?
41
Let v = 8194 + -7946. Calculate the remainder when 977 is divided by v.
233
Suppose 3*w - 5*y - 129 - 380 = 0, -2*y = -4*w + 674. Calculate the remainder when w is divided by 16.
8
Let l(q) = -q**3 - 176*q**2 + 909*q - 9. Calculate the remainder when 5651 is divided by l(5).
8
Suppose -2*z - 2*w + 242 = 0, -207*w + 609 = 5*z - 204*w. Calculate the remainder when 496 is divided by z.
4
Suppose 2*n + 21 = 84 + 25. What is the remainder when 1624 is divided by n?
40
Suppose -23*r - 53*r + 151544 = 0. What is the remainder when r is divided by 996?
2
Let i(s) = -3*s**2 - 8*s + 37. Let h be i(4). Let l(j) = j**3 + 42*j**2 - 42*j + 89. What is the remainder when 54 is divided by l(h)?
8
Let q = -1055 - -4764. Calculate the remainder when q is divided by 106.
105
Suppose 0 = -5*k - k + 516. Suppose -5*x - 199*d + 201*d = -245, x = 3*d + 62. Calculate the remainder when k is divided by x.
39
Let a(u) = -337*u - 136. Calculate the remainder when 2004 is divided by a(-1).
195
Suppose 5*t - 39 = 2*t. Let x(f) = 3*f**3 - 21*f**2 + 38*f + 7. What is the remainder when x(6) is divided by t?
10
Let z(k) = 49*k - 1716. What is the remainder when z(37) is divided by 20?
17
Let o be (-13 - -16)*((-16)/(-6) - 2). Calculate the remainder when 192 is divided by (o/(-4))/((-8)/800).
42
Suppose 64*g = 58*g + 18. Suppose -14 = g*y - 32. What is the remainder when 22 is divided by y?
4
Let n(v) = 17*v**2 + 4*v + 7. Let y be n(-2). Suppose p = -3*l - y, l + 27 = -p + 6*l. Let w = 57 + p. Calculate the remainder when 11 is divided by w.
1
Let r(u) = u**3 + 3*u**2 - 35*u + 61. Let o(n) = -n**2 + 9*n - 2. Calculate the remainder when r(4) is divided by o(6).
1
Let p(y) = -2*y**2 - 4*y + y**2 + 2*y**2 + 5. Let c be (-22)/4*(-410)/451. Calculate the remainder when 17 is divided by p(c).
7
Let p = -261 - -263. Suppose 18*v - 720 = -p*v. Calculate the remainder when 211 is divided by v.
31
Suppose 351*k - 26098 - 6523 - 11254 = 0. What is the remainder when 2494 is divided by k?
119
Let p = 120142 - 120062. Suppose 0*k = -3*k + 111. What is the remainder when p is divided by k?
6
Let t(p) = p**3 - 22*p**2 + 25*p - 78. Let m be t(21). Let y = -7 + 30. Suppose 209 = m*b + y. Calculate the remainder when b is divided by 7.
3
Let w be 3/(-4) - (-497)/28. Suppose -25 = 2*n + 3*n, -k = 4*n - w. Let o = -1287 - -1297. Calculate the remainder when k is divided by o.
7
Suppose -186*l + 149*l = -2405. Calculate the remainder when 714 is divided by l.
64
Suppose -4*g = y - 28 + 22, -g = -2*y + 57. Suppose -163 - y = -27*d. What is the remainder when 12 is divided by d?
5
Suppose -9*l = -196 + 7. Let p(z) = 18*z - 209. Calculate the remainder when p(l) is divided by 43.
40
Calculate the remainder when (15 + -33)*((-450)/(-4))/(-5) is divided by 80.
5
Let x(t) = -3*t**2 - 175*t - 55. Let z(h) = h**2 - h - 1. Let n be z(6). Let f = 46 - n. Calculate the remainder when f is divided by x(-58).
2
Let x(u) be the second derivative of -u**3/6 + 4*u**2 - 26*u. Let d = 19 - 16. Calculate the remainder when x(-7) is divided by d.
0
Let y(p) = -2*p**3 + 82*p**2 - 83*p + 124. Let a(l) = -l + 1. Let j be a(2). What is the remainder when j*(-10*1)/2 is divided by y(40)?
1
Suppose -m - 4*q = 8, 0 = 4*m + 4*q - q + 19. Let h(s) = -2*s**2 - 13*s - 15. What is the remainder when 37 is divided by h(m)?
2
Let l be (1 + (-273)/9)/(14/(-21)). Let p be ((-8)/14)/(l/(-154)). Suppose 5*s + 28 = 3*j, -5*s + 60 = 3*j + p*j. What is the remainder when j is divided by 4?
3
Suppose -5*z - 12 = -5*h + 18, 5*z + h = -18. Let t(r) = r + 9. Suppose 1 + 3 = p. What is the remainder when t(z) is divided by p?
1
Let n be (-6 - -7)*(1 - (-8)/2). Suppose 4*f = 4*k + 348, 0 = 3*k - 2 + n. Let p = f - 41. Calculate the remainder when 134 is divided by p.
44
Suppose 167*y + 179*y = 341*y + 420. What is the remainder when 369 is divided by y?
33
Let f(a) = a**2 - a + 2. Let g(r) = r**2 + 9*r. Let j be g(-10). Suppose 0 = -j*c + c 