 u. Calculate the remainder when t is divided by p(7).
5
Let p(b) = -b**3 - 11*b**2 + 2*b**3 - 16 - 1 + 6*b + 7*b**2 - 3*b. What is the remainder when 526 is divided by p(5)?
20
Let d(c) = 9*c**3 - c**2 + 2*c - 1. What is the remainder when 966/(32 + -101) + 86/2 is divided by d(1)?
2
Let u(v) = v**3 - 5*v**2 + 2*v - 5. Let g be u(5). Suppose 4*b = -g*b. Suppose -11*r + 56 + 164 = b. What is the remainder when 38 is divided by r?
18
Let x be 10*-2 - (-39 + 37). Let g = -12 - x. Calculate the remainder when 31 is divided by g.
1
Suppose -2*f + 31*d + 44 = 29*d, -3*f + 5*d = -72. What is the remainder when 986 is divided by f?
17
Suppose -201*x - 318 = -207*x. Calculate the remainder when 5511 is divided by x.
52
Let z(v) = -13*v**3 + 17*v + 13. What is the remainder when z(-4) is divided by 56?
49
Let x = -6 + 10. Suppose -m + 72 = 2*w, -2*w + 33 + 15 = -3*m. Calculate the remainder when w is divided by x.
1
Let t = -5258 - -5427. Calculate the remainder when 632 is divided by t.
125
Let t(z) = -13*z - 40. Let j be t(-4). What is the remainder when (-6)/(-8) + (1 - (-399)/j) is divided by 13?
9
What is the remainder when 560 is divided by (2479/201)/(-2*(-2)/12)?
5
Suppose 706 = 2*k + 2*s, 3*s = 5*k + 6*s - 1769. What is the remainder when k is divided by 122?
111
Suppose 0 = -129*y - 537 + 5568. Suppose 0*s - 3*k = -s + 15, -4*k = -5*s + 20. Suppose s = -3*u + 352 - 7. What is the remainder when u is divided by y?
37
Let z(s) = 33814*s**2 + 2*s - s**3 - 16910*s**2 - 16 - 16910*s**2. Suppose 5*f - 21 = o + 2*o, o + 7 = 3*f. What is the remainder when z(o) is divided by 8?
3
Let x = -119 + 124. Suppose 5*g - x*d = 815, 5*g + 489 = 8*g - 5*d. Calculate the remainder when g is divided by 42.
37
Let c(x) = x**3 + 4*x**2 - 12*x. Let n be c(-6). Suppose n = 15*v - 6*v - 369. Let z = v + -7. Calculate the remainder when z is divided by 18.
16
Let z be (8/12)/((-25)/45)*-5. Suppose 984 = 30*d - z*d. Calculate the remainder when d is divided by 18.
5
Let k be (5 - (28 - -6)) + 2 + -1. Suppose -4*z - 149 + 30 = -3*m, -3*m = -z - 131. Let t = k + m. What is the remainder when 30 is divided by t?
13
Let c(j) = 2 + 192*j**2 - 5 - 196*j**2 - 1 + 22*j. What is the remainder when 46 is divided by c(5)?
4
Suppose -2*q = -2*v - 68, q - 3*v - 28 = -2. Calculate the remainder when q is divided by ((-1407)/134)/(14/(-8)).
2
Suppose 0 = 6*d - 12*d + 24. Suppose 4*h - 5*i = -8*i + 255, -d*h + i = -251. What is the remainder when h is divided by 19?
6
What is the remainder when 1268 is divided by 4664/55 + (-3 - 32/(-10)) - -6?
85
Suppose 65*l - 31*l - 1974 = -13*l. Calculate the remainder when 2853 is divided by l.
39
Suppose -58*d = -l - 55*d + 43, -4*l = -5*d - 172. Let t(w) = -2*w - 1 + 15*w**2 + 6*w + 9*w + w**3 - 1. What is the remainder when l is divided by t(-14)?
7
Let j(w) = -11*w**2 + 115*w + 74. Calculate the remainder when 239 is divided by j(11).
7
Suppose -4*h + 719 = 111. Suppose 30 = q + 5*n, -4*q + 0*q - 4*n = -h. Calculate the remainder when q is divided by 34.
6
Let p be (-1 + 5)*(-78)/(-12). Suppose -z + 88 = c, c + 64 = z - p. Calculate the remainder when z is divided by 23.
20
Let k(l) = 4*l**2 + 4*l + 388. Calculate the remainder when k(0) is divided by 15.
13
Let f = -3165 + 3173. Calculate the remainder when 197 is divided by f.
5
Suppose -4*q = -20, 10 = 5*c - 11*q + 9*q. Suppose 0 = 4*z + 5*r - 1206, 305 = 3*z - c*r - 615. Calculate the remainder when z is divided by 22.
18
Let s = 258 + -260. Calculate the remainder when ((-153)/(-3) - 3) + (s - -5) is divided by 0 + (40/2 - 1).
13
Suppose 0 = -j + 6*j - 70. Suppose -j = q - 2*q. Let b = 728666 - 728625. Calculate the remainder when b is divided by q.
13
Suppose a - 46986 = -13*a - 232*a. What is the remainder when a is divided by 18?
11
Let u(d) = -2*d**3 - 5*d**2 - 8*d - 3. Let w be u(-1). Suppose 4*v + 7 = -3*i + w*i, -i - v + 2 = 0. Calculate the remainder when 29 is divided by i.
4
Calculate the remainder when -63*(-4)/(-4)*(-16 + 17)*-7 is divided by 111.
108
Let p = -75 + 86. Suppose 13*c = p*c + 10. Suppose -2*i + c*v = -0*v - 53, -i + 39 = -5*v. What is the remainder when 27 is divided by i?
13
Suppose -2*m + 232 = 2*m. Let l be (5 - (-104)/20)*5. Suppose -2*u - 17 = 2*i - l, 3*u + 24 = 2*i. Calculate the remainder when m is divided by i.
13
Let r be (1/3)/((-2)/(-78)). Suppose s + 253 = r*m - 9*m, -134 = -2*m - 2*s. Calculate the remainder when m is divided by 5.
4
Let y(p) = 19*p - 112. Let g be y(6). Suppose 2*w - 12 = -g*z, -13*w = -18*w + 2*z + 58. Calculate the remainder when w is divided by 4.
2
Suppose -5*g - c - 269 = 653, -3*g - 542 = -5*c. Let y = 193 + g. Calculate the remainder when 503 is divided by y.
8
Suppose 17 + 3 = 5*r. Let s(l) = -5*l + 39. Suppose 0 = w + 4*p, -w = -2*w - 3*p. What is the remainder when s(w) is divided by r?
3
Let u = 6788 - 6772. Calculate the remainder when 407 is divided by u.
7
Suppose -212 + 127 = -h. Let a = h + -37. What is the remainder when a is divided by 28?
20
Let b(g) = -923*g - 3892. What is the remainder when b(-7) is divided by 103?
97
Suppose 7891*k + 560 = 7931*k. What is the remainder when 1086 is divided by k?
8
Let y(r) = -15*r - 2. Let w be y(-6). Suppose -n - w = -3*n. What is the remainder when n is divided by 2/9 - (-237)/27?
8
Let r(z) = 16*z**3 + 2*z**2 + z - 2. Suppose -3 = m + 12. What is the remainder when (92 + m)/(1/1) is divided by r(1)?
9
Let f = 1243 + -1246. Suppose -46 = -h + 5*d, 4*h - 3*d - 148 = -d. What is the remainder when 30 is divided by (5/5)/((-1)/h*f)?
6
Suppose 4*n = -18*r + 13*r + 1961, -5*r + 973 = 2*n. Calculate the remainder when n is divided by 136.
86
Let k be (5 - 21/(-12))/(9/(-24)). Let o = 18 + k. Suppose -2*a + 3*v + 507 = 3*a, o = -2*a - 4*v + 208. Calculate the remainder when a is divided by 15.
12
Let t = -22335 - -22377. Calculate the remainder when 8390 is divided by t.
32
Suppose -8*r = -97 + 17. Calculate the remainder when 599 is divided by r.
9
Suppose 0 = -5*x + g - 0*g + 145, 5*g = 4*x - 95. Let c = -191 - -386. What is the remainder when x is divided by 4/(-14) - c/(-21)?
3
Let q be (-16 - 1499)*(-1)/3. Let y(c) = 4*c**2 - c. Let f be y(-1). Suppose f*k + n + 2*n = q, -101 = -k - n. Calculate the remainder when k is divided by 17.
16
Calculate the remainder when (101/(-5))/(12/(-540) + 0) is divided by 228.
225
Calculate the remainder when 694 is divided by (-800)/60 - -14 - (-1 - 480/9).
34
Let l = -14 + 40. Let m(w) = w + 9. Let u be m(9). Suppose 0 = 5*y + 4*a - 54, 0*y + 2*y - u = 2*a. What is the remainder when l is divided by y?
6
Let o(f) = 24*f**2 - f - 266. Calculate the remainder when o(11) is divided by 73.
72
Suppose -7*h - 5*c + 36 = 0, 21*h - 20*h - 24 = 4*c. What is the remainder when 671 is divided by h?
7
Suppose 20*n + 0*n - 198 = 82. Calculate the remainder when 11897 is divided by n.
11
Let w be (0/1)/(-3) - -66. Let s = w - -45. What is the remainder when s is divided by (44/4 + -95)/(-3)?
27
Let w(p) = 9*p + 460. Suppose 15*g = 17*g + 92. Calculate the remainder when ((-18)/(-15))/((-1)/(-190)) is divided by w(g).
44
Let c = -91 + 17. Let n = 17 - c. Calculate the remainder when n is divided by (-14 + 0)*(2 + 104/(-28)).
19
Let v(z) = -22*z + 12. Let l(r) = -7*r + r + 14 - 4*r + 5*r. Let j be l(4). Calculate the remainder when v(j) is divided by 29.
28
Let h = -192 - -276. Suppose 4*k = -28 + h. Calculate the remainder when (96/18 + -5)*201 is divided by k.
11
Let p = -113 - -201. Suppose 5*c = 22 + p. What is the remainder when 94 is divided by c?
6
Let d(f) = f**3 - 3*f**2 + 3*f - 47. Calculate the remainder when d(6) is divided by (3*-9)/(6/(-2 - 4)).
25
Let a(b) = 2*b**2 + 264*b - 1027. Calculate the remainder when a(4) is divided by (-1)/(0 + (-1)/36).
25
Calculate the remainder when 565 is divided by 15/5 + 73 - (-56 + 48).
61
Suppose -3*w - 101 = -2. Calculate the remainder when (-5715)/w + (-46)/253 is divided by 14.
5
Suppose 0 = d - 2*h - 61 - 96, -d + 145 = 2*h. Let l = -141 + d. Calculate the remainder when 45 is divided by l.
5
Suppose -2*u - 2*m = -30, 53 = 5*u + 4*m - 19. Let k(b) = b**3 - 10*b**2 + 6*b + 9. What is the remainder when k(10) is divided by u?
9
Suppose 7*a = 4*a - 1200. Let g be 7/((-35)/12)*a/15. Let j = -36 + g. W