e -66*n = -41*n - 1150. Calculate the remainder when 216 is divided by n.
32
Let i(h) = 30*h**2 - 4*h - 3. Let d be i(-1). Let u = 6 + d. What is the remainder when 147 is divided by u?
36
Calculate the remainder when 58 is divided by 22*1 + 175/(-35).
7
Let d = 80 - 75. Suppose -3*c = -d*c + 202. Calculate the remainder when c is divided by 17.
16
Let h(r) = r**2 - 19*r + 45. What is the remainder when 1881 is divided by h(20)?
61
Let a = 11 - -12. Let f(g) = -g. What is the remainder when 0 + -1 + a + -4 is divided by f(-5)?
3
Let n be (-3 - (-4 + 3))*-2. Calculate the remainder when 66 is divided by 68*(n/(-8))/(-1).
32
Suppose -3*i = 5*o - 29 + 5, -o = -2*i + 16. What is the remainder when 12 is divided by i?
4
Let i(x) be the third derivative of -x**6/120 - x**5/10 + 11*x**4/24 - 2*x**3/3 - 18*x**2. Calculate the remainder when i(-8) is divided by 8.
4
Let u(n) = 3*n**2 - 4*n. Let k be u(5). Suppose -14 = -3*o + k. Calculate the remainder when 64 is divided by o.
18
Let n = -60 + 56. Calculate the remainder when (2 + n)*(-2)/4*61 is divided by 23.
15
Suppose -b = -3*r + 11, -2*r = -3*b + 5*b + 6. Suppose -x - 33 = w - r*x, 3*w + 2*x = -94. Let t = w + 95. What is the remainder when t is divided by 16?
15
Suppose l - 6 = k - 3, 2*l = -k - 3. Suppose l*i = b + 5*i + 9, 0 = -4*b + 4*i + 36. What is the remainder when 21 is divided by b?
3
Suppose -5*v + 31 = 4*r, -3*r - 3*v + 21 = -0*r. Suppose -2*q = 13 - 5, 0 = r*z - 2*q - 100. What is the remainder when 43 is divided by z?
20
Let q(d) = -27*d**3 - d**2 - d. Let r(w) be the first derivative of -w**4/4 - 16*w**3/3 + 14*w + 7. What is the remainder when q(-1) is divided by r(-16)?
13
Let g = 185 + -142. Calculate the remainder when 120 is divided by g.
34
Let o(d) = -d + 34. Calculate the remainder when 132 is divided by o(6).
20
Calculate the remainder when 1637 is divided by 16 + -9 + 7 + 6.
17
Suppose -4*f + 486 = -0*f + 2*v, -v - 126 = -f. What is the remainder when 246 is divided by f?
0
Suppose -d - 3*q + 9 = 0, -d + 5*q = 2*d - 41. What is the remainder when 95 is divided by d?
11
What is the remainder when 51 is divided by (-31257)/(-897) - 2/(-13)?
16
Let u = -45 + 34. Let b = u + 24. Calculate the remainder when b is divided by 5.
3
Let h = 498 - 320. What is the remainder when h is divided by 4 + 0 - (-52)/2?
28
Let p(c) be the third derivative of c**5/60 - c**4/12 + c**3/3 - 5*c**2. What is the remainder when p(-4) is divided by 7?
5
Let k = 101 - 60. Suppose k = 6*i - i + 3*o, i - 5*o + 3 = 0. Let z = 0 + i. What is the remainder when 20 is divided by z?
6
Suppose 4*z - 215 = 3*g, -4*g = 3*z + 2*z - 292. Calculate the remainder when z is divided by 23.
10
Suppose -17*m = -13*m + 56. Let d = -8 - m. Calculate the remainder when 14 is divided by d.
2
What is the remainder when 1 + (7/(-7) - -6) is divided by 5?
1
Let d(q) be the third derivative of -5*q**4/12 - 13*q**3/2 - 2*q**2. Let l(u) = 7*u**2 - u + 1. What is the remainder when d(-8) is divided by l(1)?
6
Suppose 3*a = -5*a + 216. Let d = -3 - -5. Suppose -3*x + d*x + 10 = 0. What is the remainder when a is divided by x?
7
Suppose -5*i + 11 + 4 = 0. Suppose 4*o = -r + 15, i*r - 2*o = -o - 7. Let t(a) = -12*a - 2. Calculate the remainder when 37 is divided by t(r).
7
Suppose 3*v + 0*a + 2*a = 13, 2*v - 2*a - 2 = 0. Suppose 4*s - 2*r = 34, 0*s + 9 = -s - 3*r. Calculate the remainder when s is divided by v.
0
Let d(h) = -h**3 + 4*h**2 - h + 13. Let s be d(4). Let z(p) = p**3 - 11*p**2 + 18*p + 4. Calculate the remainder when z(s) is divided by 2.
0
Suppose 3*q + 14 = t, -170 = -5*t - 0*q - 5*q. Let r be 21*(-4)/(-6)*1. Calculate the remainder when t is divided by 2/7 + 136/r.
9
Let m = -94 - -167. Suppose -3*g = -5*n - m, g = 3*n + 19 + 4. Calculate the remainder when 47 is divided by g.
21
Let r(u) = u**3 + 7*u**2 - 4*u + 5. Let l be 4/14 - ((-78)/21 - 0). Suppose -5*f + 108 = l*f. What is the remainder when r(-7) is divided by f?
9
Let a be 600/7 - 5/(-35)*2. Suppose 0 = -0*g + g - 22. Calculate the remainder when g is divided by a/7 + 2*4/(-28).
10
Suppose 0 = -15*d + 23*d - 1768. Calculate the remainder when d is divided by 74.
73
Let f be 15 + -2*4/(-4). Suppose 21*c - 164 = f*c. Calculate the remainder when 161 is divided by c.
38
Suppose 33 = 3*u + 6. Suppose 340 = -28*r + 928. Calculate the remainder when r is divided by u.
3
Let d(q) = q**2 - 3*q + 4. Calculate the remainder when (-2313)/(-27) + 2 + 16/(-6) is divided by d(-3).
19
Let h = 293 + -207. Suppose -6*c = -4*c - h. What is the remainder when 125 is divided by c?
39
Suppose -4*p - 21 = -7*p. What is the remainder when 82 is divided by p?
5
Let j = -2384 - -2510. What is the remainder when j is divided by 71?
55
Suppose -2*q = -3 - 1. What is the remainder when 67 - (q/2 - 2) is divided by (-196)/(-63)*(-27)/(-6)?
12
Let h(u) = -u**3 + 6*u**2 + 9*u + 1. Let m(c) = c + 23. Let r be m(-16). Calculate the remainder when 43 is divided by h(r).
13
Calculate the remainder when (-264)/(-99)*522/4 is divided by 35.
33
Suppose 2*a - 5*h - 205 = -2*a, 160 = 3*a - 5*h. Let t = -39 + a. Suppose -3*l + 6 = -0*l. What is the remainder when t is divided by l?
0
Suppose 4*x = 8 - 20, 0 = -4*u - 4*x + 8. Suppose 0*i + u*t = -3*i + 38, 2*t + 16 = 4*i. What is the remainder when 2 + -21*(-14)/i is divided by 13?
12
Let n(c) = 9*c + 119. What is the remainder when 84 is divided by n(-12)?
7
Suppose 11*u + 3*u - 140 = 0. Suppose -3*n = 2*q + q - 135, 0 = 4*n + 2*q - 180. Calculate the remainder when n is divided by u.
5
Suppose -22 = -2*y + 3*k, -12*y - 4*k - 48 = -17*y. What is the remainder when 31 is divided by y?
7
Suppose 2*m - 68 = -60. Suppose -m*l + 666 = -l - 2*p, -444 = -2*l - 2*p. What is the remainder when l is divided by 45?
42
Let h = 29 - 31. Calculate the remainder when 96 is divided by 3 - (h - 0 - 28).
30
Let c(t) = 2*t. Let j be c(1). Let o = -8 + j. Let i = o - -8. What is the remainder when 4 is divided by i?
0
Suppose 0 = t + 1 - 30. Calculate the remainder when (15/25)/((-3)/15) + 88 is divided by t.
27
Let m(t) be the third derivative of -t**6/120 - t**5/10 - t**4/4 - t**3/2 - 7*t**2. What is the remainder when m(-6) is divided by 20?
13
Suppose w + 2*s - 152 = -4*w, s - 1 = 0. Suppose -w = -d + 2*g, -3*d + 40 = -0*g + 4*g. Calculate the remainder when d is divided by 8.
4
Suppose -8*f + 4*f - 4*a + 376 = 0, 0 = f + 3*a - 86. Calculate the remainder when f is divided by 23.
6
What is the remainder when -54*(5 + (9/(-2) - 5)) is divided by 61?
60
Let j be (0 + 1 - -2) + -74. Let d = j + 84. What is the remainder when d is divided by 3?
1
Let c be 22/(2*(-3)/6). Let x = -3 - c. What is the remainder when 74 is divided by x?
17
Let q(l) = -2*l**3 - 4*l**2 - 3*l - 5. Let j(g) = g**3 + 1. Let a(c) = -3*j(c) - q(c). What is the remainder when 59 is divided by a(3)?
19
Suppose -5*m = -2*m - 96. Suppose -2*d + 0*d + 2*j = -m, j - 56 = -3*d. Calculate the remainder when 70 is divided by d.
16
Calculate the remainder when 127 is divided by (-3)/(-2) - (-986)/68.
15
Let f = -99 - -358. Calculate the remainder when f is divided by 67.
58
Suppose m = 3*n + 8, 2*n = -m - n + 14. Suppose -3*q = g - m, q + 4 = 2*g + 3. Let z = -6 + 16. Calculate the remainder when z is divided by q.
1
Suppose -3*p - n - 4*n + 42 = 0, 4*n = -p + 21. Suppose -p = -c + 1. What is the remainder when c is divided by 4?
2
Suppose -4*z + g = 13 - 1, -4*g + 22 = -3*z. What is the remainder when (-170)/(-20)*(0 + 0 - z) is divided by 4?
1
Suppose -420 = -2*a + 4*p - 164, -256 = -2*a + p. Calculate the remainder when a is divided by 33.
29
Suppose 112*p + 5*j = 109*p + 32, 0 = 2*p - 3*j - 34. Suppose -2*r + 3 = -129. Calculate the remainder when r is divided by p.
10
Let l(m) = -m**3 - 5*m**2 - 4*m - 6. Let b = 89 + -64. Suppose 5*t + b = -0*t. Calculate the remainder when 54 is divided by l(t).
12
Let k(b) = 13*b**2 + 5*b + 42. Calculate the remainder when k(-6) is divided by 69.
66
Let p(f) = -15*f**3 - 8*f**2 - 16*f - 19. What is the remainder when p(-5) is divided by 11?
9
Let l = -17 - -29. What is the remainder when 81*((-10)/(-50) - (-4)/5) is divided by l?
9
Let g = 668 + -648. What is the remainder when 84 is divided by g?
4
Let c(i) = -i**3 - 6*i**2 + 10*i - 6. Calculate the remainder 