 Let g(l) = i(l) - u(l). Suppose -5*d + 2*x = x - 6, -3*x - 6 = -3*d. Calculate the remainder when g(d) is divided by 3.
2
Let m(c) = -c**3 + 3*c**2 + 10*c + 24. Calculate the remainder when m(-5) is divided by 35.
34
Calculate the remainder when 10/(-5) + (-1380)/(-10) is divided by 10.
6
Let k(y) = -12*y - 3. Let o = -44 + 50. Let u = 2 + o. What is the remainder when k(-2) is divided by u?
5
Let m = -8 - -13. Suppose -m*h = -g + 34, 0 = -3*g - 2*h + 121 - 19. Suppose 2*o = 4*o - g. What is the remainder when 48 is divided by o?
14
Let r be (-4)/2 + -1 - 0. Suppose 0 = -4*g + h + 113, -4*h = -4*g + 384 - 268. What is the remainder when 332/3 + r/(-9) is divided by g?
27
Suppose 161 = -13*g - 86. Let n(u) = -u**3 - 20*u**2 - 18*u + 33. What is the remainder when 17 is divided by n(g)?
3
Let u(b) = 37*b**2 + b. Let r(t) = 2*t**2 + 32*t + 136. Calculate the remainder when u(1) is divided by r(-7).
8
Let o(x) = 3*x**2 - 28*x + 12. Let r be o(11). Let v = -38 + r. Calculate the remainder when v is divided by 6.
5
What is the remainder when (-1051637)/(-340) - (-2)/(-40) is divided by 129?
126
Suppose -x - 5 + 3 = 0. What is the remainder when (1 - x)*(-1390)/(-15) is divided by 40?
38
Let d be 60/(-105) + (-192)/7. Let b = -2 - d. Let h = 10 - 3. What is the remainder when b is divided by h?
5
Suppose 0 = -3*f + 5*u + 620, u + 189 = 2*f - 236. Calculate the remainder when f is divided by 18.
17
Let p(c) = -c + 11. Suppose -4*t + 3*a = 94, -4*t = -0*a + a + 102. Calculate the remainder when 105 is divided by p(t).
33
Let b = 2570 - 2566. Calculate the remainder when 27 is divided by b.
3
Suppose 0 = 3*z - 0*q - 3*q - 18, 26 = 2*z + 5*q. What is the remainder when (-527)/(-7) + 4/(-14) is divided by (-1)/2 - (-156)/z?
18
Let m = 285 - 282. Calculate the remainder when 2/10 + (-238)/(-10) is divided by m.
0
Let z(u) = -u**2 - 3*u + 11. Let f be z(-6). Let o(r) = -r**3 - 6*r**2 - 8*r - 5. Calculate the remainder when o(f) is divided by 26.
22
Suppose 0 = h - 37. Let i = h - 13. Calculate the remainder when (-1*3)/((60/184)/(-5)) is divided by i.
22
Let w(v) = v**2 + 8*v - 11. Let i be w(-8). Let y = 16 + i. Suppose 19 = 4*h - y. Calculate the remainder when 14 is divided by h.
2
Suppose 38 = 4*d - 34. Suppose 38*i + 144 = 64*i - 1078. Calculate the remainder when i is divided by d.
11
Suppose -5*z + 226 = 5*u - 24, 0 = u + 4*z - 38. Calculate the remainder when u is divided by 32.
22
Let l(a) = a**2 - 18*a - 185. What is the remainder when 91 is divided by l(-8)?
22
Let a = 434 + -138. Calculate the remainder when a is divided by 23.
20
Let j(r) = 8*r**2 + r. Let x = -1926 + 1936. What is the remainder when x is divided by j(-1)?
3
Let v(m) = -7*m + 20. Let q be ((-8)/(-20))/((-1)/15). Suppose 37 = 5*j - 8. Calculate the remainder when v(q) is divided by j.
8
Let h = -1 + 2. Let m = 30 + h. Calculate the remainder when m is divided by 8.
7
Suppose 5*p + 0*p = -2*m + 8, -2*m + 2 = 2*p. Suppose r + 3*h - 19 = 0, -2*r + p*h + 70 = -0. Let o = -19 + 35. What is the remainder when r is divided by o?
15
Let a(r) = -r**3 - r**2 + 7*r + 7. Let q(z) = 2*z**2 - 2. Let l be q(-2). Calculate the remainder when a(-4) is divided by l/(-15)*(-1 + -34).
13
Let m = 7 - -75. Suppose -m = -2*w - 30. What is the remainder when 76 is divided by w?
24
Let k = -41 + 52. Calculate the remainder when k is divided by (-2)/7 - (-37)/7.
1
Let d = -88 - -127. Suppose -21 = -2*t - 3*q + 5, -3*t + 3*q = -d. Calculate the remainder when 77 is divided by t.
12
Let m(o) = o**3 - 3*o**2 + 2*o + 19. What is the remainder when m(6) is divided by 47?
45
Let d(f) = -f**3 + 4*f + 5. Let c be d(4). Let i = c + 71. Calculate the remainder when i is divided by 15.
13
Let z(c) = 4*c - 1. Suppose -3*a = -12, -2*d - 3*a = -4*d + 6. Suppose 3*k = -6 - 3, -d = 3*b + 4*k. Calculate the remainder when 3 is divided by z(b).
0
Let n(d) = 4*d + 70. Calculate the remainder when 258 is divided by n(-11).
24
Suppose 319 = 5*q - 251. Suppose -2*f + 4*u = -116, 2*u = -4*f + 68 + q. What is the remainder when f is divided by 7?
6
Suppose 5*s - 56 + 1 = 0. Let b(g) = 2*g**3 + 53*g**2 - 165*g + 4. Calculate the remainder when b(3) is divided by s.
7
Suppose 5*g - 41 = -6. Suppose 5*f - 12 + g = 0. What is the remainder when 26 is divided by f + (4 - -3) + 1?
8
Suppose m - 3*p = 2*p - 14, -14 = -5*m + 4*p. Suppose -2*l + m = l. Suppose 0 = -l*c + 19 + 51. What is the remainder when 68 is divided by c?
33
Suppose 4*r = 6*r + 2*q - 16, 0 = -2*r + q + 7. Suppose -11*s + r*s = -102. What is the remainder when 33 is divided by s?
16
Suppose 3*n + 138 = -3*y, 0 = 2*n - 3 + 1. Let s = 105 + y. Calculate the remainder when s is divided by 30.
28
Let r = 68 - 66. Suppose 0 = f - 4*d + 5, 4*f - r*f - 35 = -d. Let t = 73 - 46. Calculate the remainder when t is divided by f.
12
Let s = -105 + 126. What is the remainder when 49 is divided by s?
7
Let x = -8 - -23. Suppose j = b + 2*j - 1, 3*b = -2*j + 8. Suppose y = -a + 11, a - b*a + 2*y + 34 = 0. What is the remainder when x is divided by a?
7
Suppose 0 = 2*a - 9 + 3. Let n(f) = 8*f + 1. Suppose 134 = k - 4*h, -3*k + 6*h = 2*h - 378. What is the remainder when k is divided by n(a)?
22
Let u(r) = -r**3 + 5*r**2. Let w be u(5). Suppose -3*j + 6 = w, -f + 2 = -2*j - 7. Calculate the remainder when 47 is divided by f.
8
Suppose -6*z + 1 = -7*z. Calculate the remainder when 26 is divided by (0 - -3) + 5 - z.
8
Suppose -v + 20 = -2*o - 0*o, -90 = -5*v + 5*o. Let h = 8 - -20. What is the remainder when h is divided by v?
12
Suppose -5*a + 20 = -a. Suppose -2*w = -5*v - 2, 3*w - 2*v - 45 = -a*v. What is the remainder when 26 is divided by w?
4
Suppose 5 = -2*a + 77. Let i = 44 - a. What is the remainder when 19 is divided by i?
3
Let j(k) = -k**3 - 8*k**2 - 9*k + 26. Calculate the remainder when j(-9) is divided by 48.
44
Let d(w) be the third derivative of -w**6/40 + w**5/20 + w**4/6 - 8*w**2. What is the remainder when (2/(-5))/(3/(-405)) is divided by d(-2)?
26
Suppose -2*y - 253*b = -251*b - 342, 2*y - 324 = 4*b. Calculate the remainder when 513 is divided by y.
9
Let g(f) be the third derivative of 7*f**4/6 - 15*f**3/2 + 40*f**2. What is the remainder when g(9) is divided by 42?
39
Let n = -100 + 277. Calculate the remainder when n is divided by 18.
15
Let j = 26 - -38. Suppose 245*a - 243*a - 66 = 0. What is the remainder when j is divided by a?
31
Suppose -40 = -5*n + 60. Suppose 0 = -3*s - 2 + n. What is the remainder when 35 is divided by s?
5
Let q(r) = r**3 + r**2 + 7*r - 17. Suppose -29 = -f + 2. Calculate the remainder when q(4) is divided by f.
29
Suppose 0 = -o - 3*z + 13, 2*z + 35 = 37. Let i = -17 - -35. What is the remainder when i is divided by o?
8
Let f(j) = 8*j**2 - j + 1. Let v(h) = -3*h**3 + 3*h**2 + 4*h - 6. Suppose 7*y + 9 = 4*y. What is the remainder when v(y) is divided by f(2)?
28
Suppose 3*c = c + 142. Suppose r + 5*h = 5*r - c, -5*r + 85 = -5*h. Calculate the remainder when 83 is divided by r.
13
Suppose -25*z + 87 = 12. Let d(s) = -s**2 + 6*s - 3. Calculate the remainder when d(4) is divided by z.
2
Let p = -3 + 4. Let f = p - -4. Suppose -5*y + f = -5. What is the remainder when y is divided by 2?
0
Let p(w) be the second derivative of 4/3*w**3 + 0 - 7/2*w**2 - 3*w - 7/12*w**4 + 1/20*w**5. What is the remainder when 14 is divided by p(6)?
4
Suppose 2*u = 4*u - 226. Let h = 7517 + -7488. Calculate the remainder when u is divided by h.
26
Let t be -33*(1 + 10/(-6)). Let l(p) = -p**3 + 9*p**2 + 25*p - 3. Let u be l(11). Let d = u - t. Calculate the remainder when 14 is divided by d.
6
Suppose -5*u + 0*u = -25. Calculate the remainder when 99 is divided by u.
4
Let h(u) = u**3 - 20*u**2 - 20*u - 22. Let z be h(21). What is the remainder when 44 + 5 + -5 + z*1 is divided by 17?
9
Let n be (8/12)/(8/60). Suppose -3*o - 145 = -n*v, -2*o = 14 - 4. Calculate the remainder when 127 is divided by v.
23
Let z = -520 - -532. Calculate the remainder when 679 is divided by z.
7
Let c(m) = m + 69. What is the remainder when c(14) is divided by 118/24*3 - (-6)/(-8)?
13
Suppose -4*s = -50 - 50. Suppose 29*o - s*o - 116 = 0. What is the remainder when 84 is divided by o?
26
Let n = -735 + 748. What is the remainder when 58 is divided by n?
6
Let j(p) = -2*p**3 