ded by 20?
18
Let o be 2/(((-20)/6)/5). Let i(z) be the second derivative of z**4/12 + 2*z**2 - 22*z. What is the remainder when 76 is divided by i(o)?
11
Let o(h) = -8*h - 36. Let c(p) = 16*p**2 + 2*p + 1. Calculate the remainder when o(-10) is divided by c(-1).
14
Suppose 0 = -4*b - 3*x + 23, 2*b + x = -3*b + 37. Suppose -2*o - 4*t = 46 - 152, -4*t + 212 = 4*o. What is the remainder when o is divided by b?
5
Let g = -7 - -30. Let u = -12 + g. Calculate the remainder when 20 is divided by u.
9
Suppose -2*b = 5*w + 18, -3*b - 16 = 2*w - 0*w. Let d = 14 + b. What is the remainder when 28 is divided by d?
8
Let m = -169 - -216. Calculate the remainder when m is divided by 8.
7
Let q = 38 + -59. Let w = q + 44. What is the remainder when w is divided by 5?
3
Let j(g) = g**3 + 8*g**2 - 5*g + 84. Calculate the remainder when j(-9) is divided by 27.
21
Suppose 0 = 5*k - 1089 - 1101. What is the remainder when k is divided by 49?
46
Suppose -9*w - 87 = -357. Calculate the remainder when w is divided by 18.
12
Let d = 1231 - 1144. Calculate the remainder when 432 is divided by d.
84
Let f(t) = -t - 4. Let i = 6 - 13. Let p be f(i). Suppose 2*r - 26 = 2*s, -p*r - 4*s = -9*s - 43. Calculate the remainder when r is divided by 4.
3
Calculate the remainder when 204/42*(-1274)/(-52) is divided by 12.
11
Let v = -11 - -19. Let c(x) = -x**3 + 8*x**2 + 11*x + 19. What is the remainder when c(v) is divided by 27?
26
Calculate the remainder when 720/96*(-3)/(3/(-2)) is divided by 4.
3
Let y = 13 - -63. Let j = y + -39. What is the remainder when j is divided by 13?
11
Let n = 240 + -184. What is the remainder when 502 is divided by n?
54
Calculate the remainder when 131 is divided by (1/5*-12)/((-158)/2765).
5
Suppose -4*u + t + 134 + 247 = 0, -203 = -2*u + 3*t. Calculate the remainder when u is divided by 15.
4
Let p = 52 - 33. Let q(r) = -2*r**3 + r**2 + 3. Let v be q(0). Suppose -19 - 16 = -5*x - 3*g, 35 = v*x - g. What is the remainder when p is divided by x?
9
Let m be (1 - 5/2)/(25/(-100)). Let g(r) = -r**3 + 6*r**2 + 6*r - 3. What is the remainder when g(m) is divided by 12?
9
Let f(p) = p**3 + 10*p**2 + 8*p + 7. Suppose z = -t + 10, 11*t = 3*z + 8*t - 30. What is the remainder when f(-7) is divided by z?
8
Suppose -3*g - 121 = 4*t - 1109, 4*g = -2*t + 504. What is the remainder when t is divided by 41?
39
Let n(k) = -8*k**2 - 52*k - 10. What is the remainder when 587 is divided by n(-6)?
13
Let b(a) = -73*a + 215. What is the remainder when b(-9) is divided by 19?
17
Suppose 4*m = 16, 3*j + 3*m - 28 = j. Suppose i = 2*u + 70, -u + 3*u + j = 0. What is the remainder when i is divided by 21?
20
Let c(r) = 5*r**2 - 36*r + 18. Calculate the remainder when c(10) is divided by 62/2 + 2/2.
30
Let i(t) = -74*t + 1. What is the remainder when i(-2) is divided by 11?
6
Let h(c) = c**3 + 9*c**2 - 2*c - 3. Let b(n) = -n**2 + 7*n - 1. Let z be b(8). Calculate the remainder when 73 is divided by h(z).
13
Let i be 120/(-36)*12/(-10). Suppose -i*t = -6 - 6. What is the remainder when t is divided by 3?
0
Let r(g) = -g**2 - 18*g - 46. Calculate the remainder when 139 is divided by r(-9).
34
Let v(u) = 2*u**2 - 6*u. Suppose 7*x + 120 = 11*x. Suppose 0 = 2*a - 2*k - x, 0*a + 27 = 3*a + 3*k. What is the remainder when v(7) is divided by a?
8
Let s = 457 + -419. What is the remainder when 61 is divided by s?
23
Suppose 1375 = 17*l + 8*l. What is the remainder when l is divided by 31?
24
Suppose 2*b = 3*f + 18, -2*b + 2*f = f - 10. Calculate the remainder when 6*(-6)/9 - (-26)/((-572)/(-462)) is divided by b.
2
Let i(q) = 3*q**3 + 2*q**2 + 5*q - 19. Let u(c) = -2*c**3 - c**2 - 3*c + 9. Let p(g) = -3*i(g) - 5*u(g). What is the remainder when 20 is divided by p(0)?
8
Calculate the remainder when 88 is divided by (-7)/(42/3)*-32.
8
Suppose -3*w + 0*w = 4*c - 27, c - 23 = -4*w. What is the remainder when 20 is divided by c?
2
Let n(z) = -z**2 - 17*z - 4. Let v = 16 + -3. What is the remainder when n(-13) is divided by v?
9
Let w(m) be the first derivative of -m**4/4 - 14*m**3/3 - 25*m**2/2 - m + 6. Suppose -5*z + 7 = -98. Calculate the remainder when z is divided by w(-12).
10
Let r(v) = 8*v**2 - 2*v + 25. Calculate the remainder when r(-4) is divided by 59.
43
Let k = 508 - 442. Calculate the remainder when 394 is divided by k.
64
Suppose 8*v - 3*v = g + 122, 5*g - 40 = -v. What is the remainder when 88 is divided by v?
13
Suppose 2*w + 4*g - 314 = 0, -9*g = -3*w - 5*g + 501. Calculate the remainder when 328 is divided by w.
2
Let v = -226 + 258. Calculate the remainder when v is divided by 15.
2
Suppose -13*k + 5*k = -1128. Calculate the remainder when k is divided by 47.
0
Let b(m) = 10*m - 37. Let d be b(18). Suppose -9*o + 208 = -d. What is the remainder when o is divided by (-7)/(-2 + 1 + 0)?
4
What is the remainder when ((-179)/2)/(149/(-298)) is divided by 27?
17
Suppose 12*v - 17*v = -25. Let b(t) = t + 17. What is the remainder when b(v) is divided by 8?
6
Suppose 2*x + 10 = 0, 0*x = 2*v + 3*x - 243. Calculate the remainder when v is divided by 69.
60
Suppose -2 = s - 4. Suppose -2*f + 9 = -s*x + 3*f, 3*f = -x + 12. What is the remainder when 6 is divided by x?
0
Let q be 77/33 + 2/3. Let d(c) = c**3 - 6*c**2 + 5*c - 6. Calculate the remainder when d(6) is divided by q*(5 + (-12)/18).
11
Let u(p) = 0 + 0*p + 0*p - 3 - 15*p. Suppose -2*z + 159 = z. What is the remainder when z is divided by u(-2)?
26
Let r = -35 + 11. Let c = r + 53. What is the remainder when c is divided by 16?
13
Let d be (-16)/4 + 13 + -4. Suppose 3*q - d*j - 79 = -j, -3*j = -6. What is the remainder when q is divided by 10?
9
Let h(x) = 2*x**2 - 5*x - 10. Let z be h(5). Suppose -4*a = -97 - z. Calculate the remainder when 58 + 8/12*-6 is divided by a.
26
Let l = 59 - 52. What is the remainder when 20 is divided by l?
6
Suppose 2*h = -p + 1134, -8*h = 4*p - 11*h - 4580. What is the remainder when p is divided by 6?
2
Let w = -550 + 774. Calculate the remainder when w is divided by 78.
68
Let r(t) = -4*t - 26. Let j(l) = l. Let m(s) = -3*j(s) - r(s). Calculate the remainder when 61 is divided by m(-4).
17
What is the remainder when 876 is divided by 2940/24*(-54)/(-45)?
141
Let a = 3638 - 3627. Suppose -4*f = 3*i - 203, -2*f - 120 = -2*i + 3*f. Calculate the remainder when i is divided by a.
10
Let v(u) = 5*u**3 - u**2 - u + 1. Let i be v(1). Suppose 0 = 5*d - 4*b - i, 8 = b + b. Suppose d*a - 55 = 3*a. What is the remainder when a is divided by 15?
10
Let d = -25 - -23. Let a be -5*(-7 + (d - 0)). Suppose -175 + a = -5*w. Calculate the remainder when 103 is divided by w.
25
Suppose -3*u + 4*m + 28 = 0, -3*u - 4*m - 4 = -0*u. Suppose 0 = -7*w + u*w + 60. What is the remainder when 74 is divided by w?
14
Let s(p) = -p**3 + 7*p**2 - p - 2. Suppose 352 = -7*l + 29*l. What is the remainder when s(5) is divided by l?
11
Suppose 0 = -2*b + j + 14, -2*b + 7*j = 2*j - 6. Let m(i) = i - 2. What is the remainder when 40 is divided by m(b)?
4
Let w = 96 - 41. Let s = w + -44. Suppose 0 = -z, 0*u + z = -2*u + 38. Calculate the remainder when u is divided by s.
8
What is the remainder when -14 + 121 + (8 - 9) is divided by 81?
25
Let k(p) = -p + 8. Let c(i) = -8*i. Let y be c(-3). Let h be y/(16/4) + 1. What is the remainder when 3 is divided by k(h)?
0
Let o = -915 - -927. What is the remainder when 91 is divided by o?
7
Suppose 0 = 37*g - 33*g - 5*m - 350, 5*m - 220 = -2*g. What is the remainder when g is divided by ((-36)/(-5))/(3/10)?
23
Let x(r) = -45*r**3 - 12*r**2 + 5*r + 8. Calculate the remainder when x(-2) is divided by 101.
7
Suppose -2*w + 9 + 13 = 0. Calculate the remainder when 456/30 + (-28)/(-35) is divided by w.
5
Let j(c) = 8 - c + 4*c - 2*c + 8. Let r be j(-16). Suppose 0 = -2*g + 5*i - 3*i + 14, g + 3*i + 1 = r. Calculate the remainder when 11 is divided by g.
1
Suppose 3*b = 7*b - 20, b = -4*i - 123. Let u = i - -155. Suppose -2*o - h + u = -2*h, -h = 3*o - 182. What is the remainder when o is divided by 16?
13
Let q = -8 + 26. What is the remainder when 30 is divided by 4/(-18) + 148/q?
6
Let k(j) be the first derivative of -j**3/3 - 3*j**2 + j + 13. What is the remainder when 15 is divided by k(-5)?
3
Let m(w) = w**3 + 5*w**2 - 6*w - 15. Let d be m(-9). Let o = -198 - d. What is the rem