v - 84. Let x = -59 + 108. What is the remainder when x is divided by f(-1)?
21
Let y = 17 - 11. Suppose -9 + y = n. What is the remainder when (1/n)/(1/(-51)) is divided by 7?
3
Let j(n) = -n**2 + 6. Let f be j(0). Calculate the remainder when ((-22)/11)/(6/(-15)) is divided by 27/f + 2/(-4).
1
Let b(n) = n**3 + 57*n**2 - 15*n - 595. Let g(h) = 2*h - 9. Calculate the remainder when b(-57) is divided by g(10).
7
Suppose 5*a = 4*u - 5480, 0 = -2*a + 52 - 44. What is the remainder when u is divided by 92?
87
Suppose 20*k - 283 = -203. Let q(z) = -z**3 + 5*z**2 + 10*z - 9. Let g be q(6). Suppose 9 = k*a - g. What is the remainder when 17 is divided by a?
5
Suppose 0 = j + j - 4*q - 142, -5*q + 310 = 5*j. Let t = -10866 + 10902. Calculate the remainder when j is divided by t.
29
Let i(n) = -75*n + 13. Let m be i(-8). Suppose 11*j = 960 + m. Suppose 129 = 2*l + 5*g, -j - 100 = -4*l + 5*g. Calculate the remainder when l is divided by 13.
10
Let b = 803 - 803. Suppose b = 5*g - 2178 + 273. Calculate the remainder when g is divided by 96.
93
Let j(m) = -m**2 - 7*m - 8. Let d be j(-7). What is the remainder when 110 is divided by (-2 - -1)*(d/2 - 19)?
18
Let l(u) be the first derivative of -29*u**2/2 - 22*u + 1. Suppose 990 = -18*t + 918. What is the remainder when l(t) is divided by 24?
22
Suppose -4 + 13 = v. Let d = 58 + v. Calculate the remainder when d is divided by 16.
3
Calculate the remainder when 0 + (-27)/90 - 2766/(-20) is divided by 29.
22
Let r be -3 + 1 + 28/4. Suppose r*l + 5*i - 95 = 0, -3*l - i - 4*i + 59 = 0. Suppose 24 = -2*p + 78. What is the remainder when p is divided by l?
9
Let m = -2869 + 2966. Calculate the remainder when 209 is divided by m.
15
Suppose -34*c + 138 - 2 = 0. Calculate the remainder when 99 is divided by 51*c*2/24.
14
Let i(u) = 5*u**3 - 2*u**3 + 5 + 0*u**2 + 0*u - 3*u - 2*u**2. Let f be i(2). Let q = 20 + f. What is the remainder when 102 is divided by q?
32
Suppose 0*k - 123 = 4*k - 3*y, 3*k = -3*y - 108. Suppose -14*q + 1805 = 615. What is the remainder when q is divided by k*(-4)/(-12)*-1?
8
Suppose 0 = 887*n - 840*n - 4700. What is the remainder when 197 is divided by n?
97
Suppose 2*n + 3*n = 695. Calculate the remainder when n is divided by 2*(-3)/14 - (4245/(-105) - 22).
15
Let z = 475 + -431. Let o(p) = p**3 - 17*p**2 - 10*p - 13. Calculate the remainder when o(18) is divided by z.
43
Let x be (-180 - 3)/(3*(-3)/33). Let z = -582 + x. What is the remainder when z is divided by 20?
9
Let y = 1175 + -1117. What is the remainder when y is divided by 20?
18
Let i be 558/(-12)*4/(-6). Suppose i = u - 5*v - 5, 4*u = 2*v + 126. Suppose -3*x + r = -22, 0*r = 3*x - 3*r - 18. What is the remainder when u is divided by x?
7
Let u be 6/21 - 12/(-7). Suppose 0 = 6*o + 287 - 149 - 150. What is the remainder when 112 is divided by (0 + u)*((-81)/(-6) - o)?
20
Let a(k) = 1982*k - 5797. What is the remainder when 5063 is divided by a(3)?
146
Suppose 69*v + 3966 = 68947 + 14093. Calculate the remainder when v is divided by 82.
80
Suppose -52*v + 22384 = -9544. What is the remainder when v is divided by 93?
56
Let l = -388 - -418. Suppose l*z = 1840 + 230. What is the remainder when 825 is divided by z?
66
Let b(h) = h**2 + 11*h + 42. Let v be b(-14). Suppose 88*z = v*z + 156. Calculate the remainder when z is divided by 14.
11
Suppose -5*j + 2*k + 485 = 10*k, 0 = -j - 4*k + 85. What is the remainder when j is divided by 16?
9
Let r(y) = 121*y - 5017. What is the remainder when r(128) is divided by 11?
10
Let d = -3624 - -3655. What is the remainder when -3 + 121 + 0 + 5 is divided by d?
30
Let r = 1738 + -1710. What is the remainder when 109 is divided by r?
25
Suppose -49*r = -56*r + 140. Suppose r*f - 10*f - 870 = 0. Let i = 99 - f. What is the remainder when 44 is divided by i?
8
Let b(y) = -y**3 + 15*y**2 + 79*y - 13. What is the remainder when b(15) is divided by 23?
22
Let a be 6*((-6390)/(-12))/5. Calculate the remainder when 98 is divided by (a/(-355))/(6/(-40)).
2
Suppose -10*p = -68*p - 19*p + 4004. Calculate the remainder when 2594 is divided by p.
46
Let o = -630 + 926. Let t = 188 + o. Suppose -3*x + 3*s + 360 = 0, 0 = -4*x + 2*s + s + t. What is the remainder when x is divided by 18?
16
Let y(b) = -45*b + 4. Let n(z) = 17*z + 105*z - 13 + 14*z. Let g(s) = 2*n(s) + 7*y(s). What is the remainder when g(-2) is divided by 46?
42
Let y(q) = -q**3 + 7*q**2 + 5. Suppose 13*c = 25*c. Let a = c - -2. What is the remainder when y(7) is divided by a?
1
What is the remainder when (8*13/(-52))/(4/(-414)) is divided by 104?
103
Suppose 5*h = -2*c + 727, 8*c - h = 5*c + 1048. Calculate the remainder when c is divided by 40.
31
What is the remainder when 32 - 35 - -74*25 is divided by 50?
47
Let l(a) = 202*a - 4194. Calculate the remainder when l(23) is divided by 19.
15
Suppose -2*w + 5*x + 527 = 0, 56*w = 61*w + 4*x - 1433. What is the remainder when 1362 is divided by w?
238
Calculate the remainder when 21/63 + 550/15 is divided by (-3)/(-1) + 15/3.
5
Let u = -340 + 343. Let r(x) = x**2 - x - 1. Let i(k) = -k**2 + k + 1. Let m(n) = 4*i(n) + 5*r(n). What is the remainder when m(u) is divided by 3?
2
Suppose 0 = z + 2*m - 47, 2*z + 3*m - 45 = z. Let a = z - 47. What is the remainder when 6 is divided by a?
2
Let c be (0 - 5)*-1 - 10. Let l(n) = -50*n - 4. Calculate the remainder when l(c) is divided by 50.
46
Let z(f) = -18*f - 137 - 6*f - 28*f. Calculate the remainder when z(-7) is divided by 23.
20
Let i = 8988 - 8544. Calculate the remainder when i is divided by 56.
52
Let q be 4/(-14) + ((-18135)/21)/5. Let d = q - -298. Let z = d + -102. What is the remainder when z is divided by 13?
10
Let d = 41419 + -41275. What is the remainder when 767 is divided by d?
47
Let m = 5 - 1. Let g(j) = -2*j**2 + 3*j - 3 - 3*j**3 - 4*j + 0*j. Calculate the remainder when g(-2) is divided by m.
3
Suppose -27*f + 32*f = -30. Calculate the remainder when 33 is divided by 6*(20/f)/(-5) - -6.
3
Let y be 1/(-6) - (-17)/102. Suppose -2*c - 3*f + 2*f + 50 = y, 0 = 2*c - 5*f - 26. Calculate the remainder when 87 is divided by c.
18
Let i(b) = -4*b - 1. Suppose 61*k - 68 = 27*k. Suppose -12*c = -7*c + 4*j - 228, -5*j + 81 = k*c. Calculate the remainder when c is divided by i(-2).
6
Let t(a) = 2*a**2 + 5*a + 5. Let m be t(-2). Suppose m*q - 178 = -82. Suppose q = -6*u + 458. Calculate the remainder when u is divided by 19.
14
Let s(z) = -z**3 + 6*z**2 + 5. Let i be s(6). Let v = 23457 + -23408. Calculate the remainder when v is divided by (-126)/(-10) + 2/i.
10
What is the remainder when 126/(-1071) + ((-9898)/(-34) - -2) is divided by 31?
14
Suppose -111 - 55 - 174 = -5*s. Calculate the remainder when 130 is divided by s.
62
Let d(w) = w**3 + 8*w**2 + 4*w - 3. Let a = -121 - -250. Calculate the remainder when a is divided by d(-4).
39
Suppose 382 = 9*i - 446. Let g = 3675 + -3663. Calculate the remainder when i is divided by g.
8
Let u = -31 + 33. Suppose 5*o = -u*l + l + 197, 2*o + 4*l = 86. Calculate the remainder when 149 is divided by o.
32
Let s = 10285 - 10222. What is the remainder when 273 is divided by s?
21
Suppose -103*o = -115*o + 168. What is the remainder when 834 is divided by o?
8
Let z(o) = 475*o**3 - 6*o**2 - o + 6. What is the remainder when z(1) is divided by 231?
12
Let v = 902 + -835. Suppose 4*b + 19 = 2*t - 21, -2*b = 5*t - 40. What is the remainder when v is divided by t?
7
Suppose -6*p + 870 = 8*p - 3022. Calculate the remainder when 549 is divided by p.
271
Let s(p) = p**3 - 36*p**2 - 69*p + 464. What is the remainder when s(38) is divided by 150?
130
Let q(c) = 4*c**2 + 270*c + 106. Calculate the remainder when q(-69) is divided by 35.
30
Let j(u) = u + 23. Suppose -12 = 7*h + 30. Let f(d) = 2*d**3 - 4*d**2 + 3*d + 3. Calculate the remainder when f(3) is divided by j(h).
13
Suppose 7*z - 8*z = t - 19, 3*t + 23 = 2*z. What is the remainder when (-5)/(50/(-495))*z/3 is divided by 53?
52
Suppose h - 438 = -5*j, 4*h = 1732 - 1720. What is the remainder when 100 is divided by j?
13
Suppose -115*c + 27 = -124*c. Calculate the remainder when 244 is divided by ((-155)/15*c)/1.
27
Suppose 2*p = -10*x + 398, 3*p - 3*x - 372 = p. Calculate the remainder when 942 is divided by p.
186
Let s(g) = -6*g + 2. Let d(z) = 191*z + 