late the remainder when 8006 is divided by (-2)/16 + (23 - 11990/(-176)).
89
Let n(g) = -g**2 + 58*g - 218. What is the remainder when 171 is divided by n(52)?
77
Let r(c) = 93*c + 1049. What is the remainder when r(-8) is divided by ((-6)/(-15))/(((-15)/275)/(-3))?
19
Let c(b) = -228*b - 1180. Let v(w) = -35*w - 182. Let k(h) = 5*c(h) - 32*v(h). Calculate the remainder when 316 is divided by k(-7).
60
Suppose -5*x - r = -166, -3*x - 3*r + 101 = -r. Let p = -34 - 148. Let c = -164 - p. What is the remainder when x is divided by c?
15
Let f be 15*(2 + 7/(-3)). Let k(g) = 2*g**3 + g**2 - 3*g + 37. Let r be k(0). Let x = r + f. Calculate the remainder when x is divided by 18.
14
Let w be 1/2 - (-13)/(-2). Let p(i) = 3*i**2 + 8*i + 3. What is the remainder when p(w) is divided by (-1284)/160*(-28)/21 + 2*15/100?
8
Suppose -923 = -4*f + y, 1152 = 5*f - 4*y + 3*y. What is the remainder when f is divided by 175?
54
Suppose 11*s - 10*s = 21. Let w(g) = 2*g - 38. Let p be w(s). Suppose 8*c + p*c = 912. Calculate the remainder when c is divided by 26.
24
Suppose -202*w + 418*w = 2790288. Calculate the remainder when w is divided by 73.
70
Suppose -968*z + 1018*z - 4100 = 0. Calculate the remainder when 96 is divided by z.
14
Let d = 29 + -28. Let n be ((-630)/75)/(1/(-5))*d. Suppose 4*r - n - 6 = 0. Calculate the remainder when 22 is divided by r.
10
Let w(g) = 4*g**3 + 6*g**2 - 4*g - 17. Let n(p) = -3*p**3 - 5*p**2 + 4*p + 17. Let o(d) = 5*n(d) + 4*w(d). What is the remainder when o(0) is divided by 3?
2
Let l(t) = 206*t**2 + 12*t + 12. Let u be l(-2). Suppose -u = -22*j - 6*j. What is the remainder when 257 is divided by j?
25
Suppose g - 45 = -42. Suppose 5*x - 17 = g. Suppose -2*a - r = -17, -x*a + 36 = -a - 2*r. What is the remainder when 36 is divided by a?
6
Let d(a) = a**2 - 12*a - 17. Let g be d(14). Let m(b) = -1 + 2 - 4*b + g*b. Calculate the remainder when 65 is divided by m(3).
21
Suppose 4*h - 5*a + 299 = 0, 5*a = -11*h + 7*h - 269. Let s = -66 - h. Suppose 3*z = 6*z - 90. Calculate the remainder when z is divided by s.
0
Suppose 2*w + 16 = 6*w. Let q(d) = -4*d**3 + 0 - w + 0*d**3 + 2*d**3 + d. Calculate the remainder when q(-3) is divided by 24.
23
Let z(u) = 2*u**2 - 17*u + 27. Let a be z(7). Suppose -4*p + 5*b = -304, 3*p - 233 = -b + a*b. What is the remainder when p is divided by 37?
34
Let u(k) = -18*k**3 - 2*k**2 - 7*k - 2. Let f be u(-2). Let a = f + -104. Calculate the remainder when a is divided by 16.
12
Suppose 0 = 2*k - 22622 - 780. Calculate the remainder when k is divided by 22.
19
Let f = -5891 + 6498. Calculate the remainder when f is divided by 199.
10
Suppose -6*g + 6470 = -2152. What is the remainder when g is divided by 103?
98
Let v = -19958 + 20076. Calculate the remainder when 3184 is divided by v.
116
Let j be ((-2)/5)/((-19)/(3135/22)). Suppose -4*h + 592 = l + 5*l, 493 = 5*l + j*h. What is the remainder when 194 is divided by l?
96
Suppose 5*t + b = -3*b - 725, -5*b - 166 = t. Let k = t + 96. Let z = -35 - k. Calculate the remainder when 17 is divided by z.
7
Let a = -2043 - -3552. What is the remainder when a is divided by 10?
9
Let r(c) = -5*c + 27. Let l be r(-8). Suppose -l*j = -63*j - 124. Suppose -j*x = -24*x - 35. What is the remainder when 9 is divided by x?
4
Suppose -45*p = -49*p + 108. Calculate the remainder when 494 is divided by p.
8
Let i(h) = 10*h**2 - 64*h - 63. What is the remainder when 1685 is divided by i(-1)?
2
Let h = 3230 - 3211. What is the remainder when 4499 is divided by h?
15
Let v = -2198 - -2237. What is the remainder when 621 is divided by v?
36
Let x(k) = -k**3 - 40*k**2 + 40*k - 27. Let z be 613/(-15) - 11/(660/8). Calculate the remainder when 94 is divided by x(z).
10
Let p be 55*(38/30 + (-4)/6). Let v = -35 + p. Let c = 19 + v. What is the remainder when c is divided by 5?
2
Let k(b) = 2*b. Let n(q) = q**2 - 25*q + 16. Let o(u) = -k(u) - n(u). Calculate the remainder when 155 is divided by o(21).
25
Suppose 4*g - 281 = -h, -4*g + g + h = -216. Calculate the remainder when ((-1)/(8/2))/(2/(-2248)) is divided by g.
68
Suppose -6*b + 6 + 54 = 0. Suppose -b*i + 1 - 1 = 0. Suppose 4*d = 3*m - 43, i = -4*m - 3*d - 34 + 108. Calculate the remainder when m is divided by 5.
2
Suppose 14*d - 12*d = 0. Suppose d = -q + 2*q - 4*m - 17, 3*q - m = 29. Calculate the remainder when q is divided by 4.
1
Suppose 0 = -269*w + 262*w + 147. Suppose 12 = 3*q - w. Calculate the remainder when 98 is divided by q.
10
Let p be 18 - 20 - 5/(-1). Suppose -5*k = 2*n - 490, -5*k + 805 = p*n + 315. What is the remainder when k is divided by 11?
10
Calculate the remainder when 114/8*34 + (-450)/180 is divided by 210.
62
Suppose -253*i - 18252 = -280*i. Calculate the remainder when i is divided by 250.
176
Let i(c) = 36*c - 959. Calculate the remainder when i(33) is divided by 86.
57
Suppose -3*p = -8 - 1, 0 = 5*u - p - 587. Let x(m) = m**3 + 25*m**2 - 57*m + 18. What is the remainder when x(-26) is divided by u?
116
Let s(l) = 7*l - 15. Let i be s(2). What is the remainder when 33 is divided by i/((-2)/(-51))*6/(-9)?
16
Let g = 7 - 5. Calculate the remainder when (5 - (-5282)/665) + (-2)/(-35) is divided by g.
1
Let n = -17 - -29. Suppose -66*y = -68*y + 26. Calculate the remainder when y is divided by n.
1
Let c = 900 - 2790. Calculate the remainder when 447 is divided by ((-1)/(10/(-4)))/((-42)/c).
15
Suppose -3*g = -56 + 44, a - 91 = -5*g. Suppose 0 = 4*o - 5*o - 16. Calculate the remainder when a is divided by 36/(-8)*o/3.
23
What is the remainder when ((-54)/(-4) + (-7 - 5))/(3/370) is divided by 36?
5
Calculate the remainder when 650 is divided by (-297)/(-77) - (-176)/154.
0
Let p be ((-1)/1)/((-5 + 3)/6). Let o(a) = -10*a**2 - 1 + 5*a + 5*a - 6*a + a**p. Calculate the remainder when 113 is divided by o(10).
35
Let b be -37 + 58 + 2 + -4. Suppose -5*w - 95 = -9*w - a, w - b = -5*a. What is the remainder when 113 is divided by w?
17
Suppose -22 = -24*c - 166. Calculate the remainder when c/(-36)*-8*(-1 - 239) is divided by 23.
21
Suppose -d - 17 = -72. Suppose -17 = -4*q + 43. Let c = 13 + q. What is the remainder when d is divided by c?
27
Suppose -1202 = -13*p + 1606. Let z = 357 - p. What is the remainder when z is divided by 36?
33
Calculate the remainder when 536 is divided by (7/14*(-54)/(-3))/1.
5
Let x be -1 + 18/10 + (-51030)/(-150). Let b = 399 - x. Calculate the remainder when b is divided by 46.
12
Let n = -7867 - -8247. What is the remainder when n is divided by 22?
6
Let y = -57 - -57. Let v(l) = 2*l**3 + l**2 + 3*l + 11. What is the remainder when 14/21*(-123)/(-2) is divided by v(y)?
8
Suppose 230*u - 227*u = -75. What is the remainder when 72 is divided by (85/u + 3)*-60?
0
Let z = 20428 - 20038. Calculate the remainder when z is divided by 102.
84
Let l(i) = -i**2 + 11*i + 286. What is the remainder when l(-9) is divided by 25?
6
Suppose 2*w + 5*v + 316 = 0, -3*w - 12*v = -14*v + 512. Let q(u) = -3*u - 11. What is the remainder when q(-12) is divided by (w/(-126))/(0 + 4/9)?
1
What is the remainder when 5133 is divided by (12086/(-24) - 1/(-4))*492/(-820)?
301
Let b be 9/(-15) - 228/(-30). Calculate the remainder when b/2*342/21 is divided by 30.
27
Suppose 3*f = 7*f + 4*t - 4420, 15 = 5*t. Let w = f + -973. Calculate the remainder when w is divided by 14.
3
Suppose 0 = 3*g + 9, -4*l + 2*l + 2*g + 2086 = 0. What is the remainder when l is divided by 346?
2
Let s be (0/(-3))/(3 - 6 - 1). Let z(p) = 5*p + 5. Let t be z(s). Suppose -2*b + 35 = t*u - 47, b = -4. Calculate the remainder when 35 is divided by u.
17
Let i be (-1)/3 + (3 - (-1250)/(-30)). Let u = i + 67. Suppose 0*n + 349 = 4*v + 5*n, 4*v + 3*n - 339 = 0. What is the remainder when v is divided by u?
25
Suppose 2*o + 582*t = 581*t + 577, -5*t = 4*o - 1139. Let b(n) = -n**3 - 7*n**2 - 7*n. Let c = -15 + 8. Calculate the remainder when o is divided by b(c).
46
Let u = -4565 - -4677. Suppose -5 = s - 32. Calculate the remainder when u is divided by s.
4
Let f = 30 - 19. Suppose -2*c = -f*c + 81. Suppose -c = h - 93. What is the remainder when h is divided by 17?
16
Let j(l) = 6*l - 175. Let p(w) = 6*w - 177. Let h(b) = -3*j(b) + 4*p(b). Calculate the remainder when 16 is divided by h(32).
7
Let b(o) = 6*o - 42. Let x be b(8