f - 20 = f, -k + 3*f = 5. Suppose 0 = 2*o - 3*y - 508, k*y + 767 = 3*o + 5*y. Calculate the remainder when o is divided by 67.
56
Let h = -2222 + 1544. Let s = -550 - h. Calculate the remainder when s is divided by 26.
24
Suppose 1115 - 5197 = -26*b. What is the remainder when b is divided by 18?
13
Suppose -25*v + 4800 = -4*v + 11*v. What is the remainder when 486 is divided by v?
36
Let o(m) = 5*m - 7. Let c(g) = g**3 - 56*g**2 + 59*g - 94. Calculate the remainder when c(55) is divided by o(4).
9
Suppose a + 0*a = 156. What is the remainder when a is divided by 4/(3/(21/112))*0 - -18?
12
Suppose 5*k = -4*q + 121, q + 2*k - 46 = -12. What is the remainder when q/(-7)*58*(-14)/8 is divided by 14?
12
Let c(o) = 2*o**2 + o + 1. Let x be c(6). Suppose 0 = -x*h + 78*h + 65. Calculate the remainder when h is divided by 18.
11
Let r be (-1 + -4)/5 + -26. Let h = r + 67. Let s = h - -54. What is the remainder when s is divided by 16?
14
Suppose -3*h - 26 + 10 = z, -2*h - z - 9 = 0. Let s(j) = 2*j**2 - 4*j - 15. What is the remainder when s(h) is divided by 19?
16
Let q be -51*((-40)/(-50))/((-12)/10). Suppose 2*d = p + 9 + q, -2*d + 37 = 5*p. What is the remainder when 185 is divided by d?
17
Suppose -3*z = f - 37, 68*z - 47 = 64*z + f. What is the remainder when 165 is divided by z?
9
Let x(p) = p**3 - 42*p**2 + 52*p - 109. Calculate the remainder when x(41) is divided by 122.
98
Let x(t) = t**2 + 13*t - 5. Let w be (-2)/(-20) - ((-1703)/(-130) + 16). Calculate the remainder when x(w) is divided by 33.
30
Suppose 3*h = 44 - 11. Suppose 5*i = l - 21, -5*l - 26 = 5*i - h. Calculate the remainder when 45 is divided by ((3 - -10) + 3)*(2 - l).
13
Suppose 4*v - 17 + 9 = 0. Let w(m) = -4*m - 137*m**v - 2*m + 12 + 138*m**2. What is the remainder when w(8) is divided by 5?
3
Let c = -39 - -43. Suppose -c = r - 1. What is the remainder when 29 is divided by 5 - (6 + -4 + r)?
5
Let d(c) = 49 + 4*c - 84 - 71 + 13*c. Calculate the remainder when d(11) is divided by 21.
18
Let l(m) = 22*m**3 - 4*m**2 + 60*m - 152. Calculate the remainder when l(5) is divided by 112.
110
Let g(l) = 17*l - 1481. What is the remainder when 6027 is divided by g(95)?
131
Suppose -9 - 85 = b. Let c = b - -176. Calculate the remainder when 155 is divided by c.
73
Let h be (-52)/((6/(-60))/((-3)/(-12))). Calculate the remainder when -5*(-4)/h + (-27286)/(-91) is divided by 43.
42
Let s = -89 + 95. Suppose -h - 12 = 3*h. What is the remainder when 2 - (h - (10 + 0)) is divided by s?
3
Suppose -2*a = -2*t - 8, 2*a - t - 11 = -3. Suppose 11 = -a*w + 4*i - 1, 5*i = w + 15. Suppose 7*b - 3*b - 8 = w. What is the remainder when b is divided by 2?
0
Suppose -38*s = -4517 - 2057. What is the remainder when s is divided by 37?
25
Let v(a) be the third derivative of 1/120*a**6 + 10*a**2 + 1/6*a**5 - 2/3*a**3 + 0*a - 25/24*a**4 + 0. Calculate the remainder when 60 is divided by v(-12).
4
Suppose 2*c + n = c + 143, -4*c + 568 = 5*n. Let p(o) = -o**3 + 154*o**2 - 744*o + 26. Calculate the remainder when c is divided by p(5).
23
Let p(s) = 2669*s + 50725. Suppose i + 404 = 5*i. What is the remainder when i is divided by p(-19)?
3
Let u = -253 - -153. Let l = u + 160. Calculate the remainder when 177 is divided by l.
57
Suppose -3823*q + 3916*q = 20925. Calculate the remainder when 2018 is divided by q.
218
Let f(v) = -728*v - 2160. Calculate the remainder when f(-3) is divided by (-2*8 + 1)*-1.
9
Let u = -138 + 143. Suppose u*c + 5*a = 40, -3*a = 2*c - 2*a - 13. What is the remainder when 112 is divided by c?
2
Let s be (1020/25 + -2)*-5. Let v = s - -317. What is the remainder when v is divided by 42?
39
Suppose 0 = 3*d + 5*f - 2, 3*d + 5*f = -d + 11. Suppose 20*t - 39*t + 228 = 0. Calculate the remainder when t is divided by d.
3
Let t(v) = -17*v + 6. Let j = -107 - 125. What is the remainder when t(-3) is divided by 5/(-2)*j/60*3?
28
Let k = 17728 + -16378. Calculate the remainder when k is divided by 443.
21
Let s(p) be the first derivative of -p**2/2 + 13*p + 8. Let c be s(9). What is the remainder when (30/7)/(c/84) is divided by 31?
28
Let x(z) be the third derivative of -z**4/8 - 35*z**3/6 + 8*z**2 - 2*z. What is the remainder when 5 is divided by x(-13)?
1
Let v be ((-1)/(-1))/(-2 - 21/(-9)). Suppose -s = -v*p - 8 + 1, -3*p = 4*s - 43. Let t(c) = 30*c - 1. Calculate the remainder when t(1) is divided by s.
9
Let l(b) = 3*b**2 - 5*b + 8. Let c be 3/(-5) + 184/40. Let w be l(c). What is the remainder when 31 is divided by 8/w + 316/36?
4
Let l(r) = 58 - 35 - 132*r + 86 + 106*r. Calculate the remainder when 28 is divided by l(4).
3
Suppose -4*p = 3*l - 230, -136 = -3*l + 2*p + 64. What is the remainder when 410 is divided by l?
60
Suppose -109762 + 31597 = -81*k. Calculate the remainder when k is divided by 11.
8
Suppose -550 = -n - 31*q + 32*q, -5*q - 1656 = -3*n. What is the remainder when n is divided by 138?
133
Let x(w) = -w + 5*w**2 + 288 - 133 - 139. What is the remainder when x(6) is divided by 15?
10
Let f(o) = 2*o + 17*o**2 + 3*o - 4*o**3 - 7*o + 39 + 3*o**3. Let g be f(17). What is the remainder when ((-6)/4)/(g/(-10)) is divided by 3?
0
Calculate the remainder when 376 is divided by (-140)/315 - (-10824)/54.
176
Let m = 267 + 79. Suppose 5*h - a = -343, h - 6*h = -2*a + m. Let r = h - -70. What is the remainder when 14 is divided by r?
0
Suppose 112 = 8*p - 928. Calculate the remainder when p is divided by 3 - (-6)/(-4)*-4.
4
Let l(c) = -c**3 + 32*c**2 + 163*c - 52. What is the remainder when l(36) is divided by 526?
106
Let a be (-6)/(-8) - 4425/(-20). Suppose -a = -212*q + 209*q. What is the remainder when 217 is divided by q?
69
Suppose -1200 = 24*f - 39*f. What is the remainder when f is divided by -4*(75/(-12) + -1)?
22
Suppose -25*c + 15926 - 14751 = 0. Calculate the remainder when 984 is divided by c.
44
Suppose -2*w = -2*a - 1224, 23*w - a + 2448 = 27*w. Calculate the remainder when w is divided by 7.
3
Let f be ((-35)/(-20))/(1/16) - 1. Let m = f + -1. Let w(y) = 3*y - 7. What is the remainder when m is divided by w(7)?
12
Let x(c) = 68*c + 2970. What is the remainder when 2759 is divided by x(-43)?
45
Let z = 180 + -361. Let w = z + 221. Calculate the remainder when 113 is divided by w.
33
Suppose w + 2*m - 3 = 2, -16 = -4*w - 4*m. What is the remainder when 347 is divided by w?
2
Let m(c) = -3*c**2 - 33*c - 51. What is the remainder when m(-6) is divided by 20?
19
Let r(q) = -q**2 + 13*q + 16. Let s be r(13). Calculate the remainder when (-3)/(s - 4) + (-1926)/(-24) is divided by 24.
8
What is the remainder when 920 is divided by (-4 + 14)*(3 + 0)?
20
Suppose 0 = 27*q - 21*q - 30. Suppose 4*j = 2*h + 2, q*j = 10*j - 5*h + 5. Calculate the remainder when 8 is divided by j.
0
Suppose -6*y + 19 = -11. Calculate the remainder when 340/(-51)*(-6)/5 is divided by y.
3
Suppose -238*j - 377*j + 176*j = -53997. What is the remainder when 733 is divided by j?
118
Suppose b - 122 = -b. What is the remainder when b is divided by ((-34)/(-4))/((-324)/1944)*4/(-6)?
27
Let i be 5/(-25) - 324/(-45). Suppose 237 = i*u + 62. What is the remainder when 297 is divided by u?
22
Let u = -162 + 934. Let b = u + -745. What is the remainder when 80 is divided by b?
26
Suppose 3*c - 621 - 1041 = 0. Let s = c - 339. What is the remainder when s is divided by 31?
29
Suppose 4*u = -3*o + 403, 7*u - 8*u - o = -100. Let m(j) = -34*j - 5. Calculate the remainder when u is divided by m(-1).
16
Let j(w) = w + 5*w**2 + 11*w - 471 + 458. Calculate the remainder when j(3) is divided by 35.
33
Suppose -2*j = -j - 4. What is the remainder when -262 - -315 - (1 - 3) is divided by j?
3
What is the remainder when (-47 - -2)/1*(-280)/168 is divided by 24?
3
Calculate the remainder when -30*13/351*(-9981)/2 is divided by 94.
93
Suppose 0 = 5*o - h + 425, -20 = 2*h - 6*h. Let x = 93 + o. What is the remainder when 59 is divided by x?
5
Suppose 2116 = 23*t - 1242. Let j = 175 - t. What is the remainder when 113 is divided by j?
26
Suppose 4*h - 2*i + 8 = 3*h, 3*h = -i - 3. Suppose 0 = -b - 1, 0 = 4*r + 3*b - 175 + 50. What is the remainder when h/(14/(-693)) - 2*2 is divided by r?
31
Let k(f) = -34*f**2 + 7*f + 9. Let u be k(5). Let d = 853 + u. Calculate the remainder when d is divided by 25.
22
Let a = -61 + 2