ded by k(z).
1
Let r(k) = k**3 - 4*k**2 - 6*k - 7. Let z be r(5). Calculate the remainder when 32 is divided by z/66 + ((-158)/(-22) - -2).
5
Suppose -4*r + 3*z = 269, 5*z - z + 233 = -3*r. Let q = -60 - r. Calculate the remainder when 31 is divided by q.
9
Let w(c) = c**2 + c - 7. Let u be 6*(-3 + (-20)/(-8)). Let h be w(u). What is the remainder when 6 is divided by (-2 - 4)/(-2) - h?
2
Suppose 2*c - 50 = 5*l, c - l = -6*l + 40. What is the remainder when 149 is divided by c?
29
Let s(b) be the second derivative of -1/20*b**5 + 3/4*b**4 + 0 - 7/6*b**3 + 5*b - 5/2*b**2. What is the remainder when 8 is divided by s(8)?
2
Let l(t) = -t**3 + t**2 - t + 7. Let y(i) = -5*i**3 - i - 1. Suppose -6*b = -5*b + 1. What is the remainder when l(0) is divided by y(b)?
2
Let y(n) = n**2 - 30*n - 107. Suppose -3*b = -2*b + x - 18, 3*b + 5*x = 58. Calculate the remainder when y(34) is divided by b.
13
Let u(a) = -7*a + 531 - 522 - 5*a. What is the remainder when u(-3) is divided by 10?
5
Suppose 0 = 23*d - 227 - 118. Calculate the remainder when d is divided by 11.
4
Suppose -21*w = -22*w + 4. Suppose w*l - 4*m = 12, 0 = -0*l + 2*l - 3*m - 3. Calculate the remainder when l is divided by 2.
0
Suppose 35*b - 2*b = 10989. What is the remainder when b is divided by 24?
21
Let m(t) = 3*t + 18. Let c be m(-7). What is the remainder when 37 + ((-1)/c)/((-7)/63) is divided by 5?
4
Suppose 0 = -2*q + 339 + 191. What is the remainder when q is divided by 55?
45
Let v = 61 - 6. Calculate the remainder when 178 is divided by v.
13
Suppose 0 = -5*a - 2 + 12. Suppose 0 = a*o - 4*o + 44. Calculate the remainder when (-2 - -1) + 50 + -7 - 1 is divided by o.
19
Let m(w) = w**2 - 5*w - 27. What is the remainder when 60 is divided by m(9)?
6
Suppose 7*w - 2*w = 3*i - 76, -3*i - 2*w = -41. Suppose 45 = -i*q + 22*q. Let n = 1 + q. Calculate the remainder when 48 is divided by n.
8
Let y = -1214 + 1375. Let u = 21 - -20. What is the remainder when y is divided by u?
38
Let b(r) = -r**3 + 24*r**2 - 79*r - 3. Calculate the remainder when b(20) is divided by 4.
1
Let g(b) = 2*b + 5. Let i be g(10). Suppose i = d + 4*d. Suppose 4*w - 2*o - 126 = o, -2*w + 56 = -d*o. Calculate the remainder when w is divided by 17.
16
Let y(b) = b**3 + 17*b**2 - 60*b + 38. Calculate the remainder when y(-20) is divided by 27.
11
Suppose 0 = -4*p - 3*l + 25, p = -3*p - l + 27. Suppose 2*k + 3*g - 11 = k, -k + g = -p. What is the remainder when 46 is divided by k?
6
Suppose 4*b + 4*y = -0*y + 148, 0 = 2*b - 3*y - 84. Let z = -2 + 16. What is the remainder when b is divided by z?
11
Let p(z) = -z**3 + 15*z**2 - z + 15. Let x be p(15). Suppose y + y - 22 = x. What is the remainder when y is divided by 8?
3
Suppose 5*o + 4*g = 279, -5*o + 340 = 5*g + 60. Calculate the remainder when 487 is divided by o.
47
Let j(r) = 4 + 0 - 1 - 2. Let l(q) = q. Let b(g) = -2*j(g) - 6*l(g). Calculate the remainder when 41 is divided by b(-4).
19
Let n be (-13 - -11)/(2/(-4)). Suppose -4*d = 4*g - 264, 2*d - 121 = -n*g + 9. Calculate the remainder when d is divided by 23.
21
Suppose -2*z + 0*z = -4. Suppose -37 = -3*f - 3*i + 47, -4*f + z*i + 94 = 0. Calculate the remainder when 72 is divided by f.
22
Let n be 1*((-3)/((-9)/93) + -2). Let f(w) = -w**3 + 3*w**2 + 3*w + 1. Let d be f(4). Let z = d + n. Calculate the remainder when z is divided by 14.
12
Suppose 0*t = t - 3. Let s be (4 - 21/12)/(-3)*-4. Suppose -t*h - 57 = -s*w, 28 = 4*w - 3*h - 51. What is the remainder when 43 is divided by w?
21
Let d(c) = -c**3 + 9*c**2 - 5*c + 2. Let f(j) = 3*j**3 - 28*j**2 + 15*j - 6. Let s(z) = 7*d(z) + 2*f(z). Calculate the remainder when 133 is divided by s(5).
25
Let w = 12 + -19. Let k be w/21 - (-50)/6. Let j = k - -10. What is the remainder when 69 is divided by j?
15
Let y be (2 + -2 - -61) + 4. Let k be (-2)/(-5)*y/26. What is the remainder when (-4)/(-12)*k*39 is divided by 4?
1
Suppose 0 = -14*n + 1132 + 296. Let j = n + -88. Calculate the remainder when 96 is divided by j.
12
Let r = -185 - -284. Calculate the remainder when r is divided by 26.
21
Suppose -3 = -n + 2. Suppose n*r - 32 = -7. Let q(t) = -8*t - 9. What is the remainder when q(-2) is divided by r?
2
Let n(a) = -a**2 - 12*a + 102. Calculate the remainder when n(-17) is divided by 7.
3
Suppose -o = -5*p - 47, 5*p + 62 = -5*o + o. Let x(k) = -k + 13. What is the remainder when x(p) is divided by 9 - (2 - (-1)/1)?
5
Let p be 3*((-140)/6 + 4). Let w = p - -40. Calculate the remainder when 4/w + 12672/162 is divided by 16.
14
Let r = 266 + -27. Suppose -g + r = 4*g - i, i = 4*g - 192. Calculate the remainder when g is divided by 19.
9
Let s(q) = 24*q - 9 + 2 + 2 - q**2 - 7. Calculate the remainder when s(17) is divided by 11.
8
What is the remainder when 82 is divided by 21/(4 + (-5)/(-20)*-13)?
26
Let a = 326 - 275. What is the remainder when a is divided by 22?
7
Let c = 5 + -11. Let l(w) = -w**2 - 10*w - 1. Let m be l(c). Let d = 80 - m. What is the remainder when d is divided by 15?
12
Let q = -449 + 468. Let h = 160 - 86. Calculate the remainder when h is divided by q.
17
Suppose -21*f + 25*f - 70 = 2*q, -41 = -2*f + 3*q. What is the remainder when 349 is divided by f?
13
Suppose -3*w - 2*w = -70. Calculate the remainder when w is divided by -5*(1*-5 + 8 + -4).
4
Let c = -5083 + 5112. Calculate the remainder when c is divided by ((-5)/4)/(2/(-16)).
9
Suppose 691 - 25 = 2*k. What is the remainder when k is divided by 16?
13
Let p(s) = s**2 + 19*s + 51. Suppose -2*o = -o - 10. Suppose 5*q - o = 3*h - 5, 0 = -5*q + 20. What is the remainder when h is divided by p(-16)?
2
Let r = -30 + 32. Suppose -r*v = 3*v. Let t = 8 + v. What is the remainder when 31 is divided by t?
7
Let c(k) = -12*k**3 - 2*k**2 + 1. Let f be c(-1). Let d = f - 11. Let i = d - -4. Calculate the remainder when i is divided by 3.
1
Let m(o) = 24*o - 5 + 1 + 5. Calculate the remainder when 48 is divided by m(1).
23
Suppose -6*p + 2*p + 12 = 0. Suppose m - 95 = -5*y - 0*m, 4*y = -p*m + 76. Suppose 92 + 133 = 3*j. Calculate the remainder when j is divided by y.
18
Suppose 3*x = 5 + 4. Suppose 25 = 5*k, -f + 5*f - x*k = 1. Suppose f*b - 190 - 22 = 0. Calculate the remainder when b is divided by 14.
11
Suppose -k = 7 - 15. Calculate the remainder when 18 is divided by k.
2
Suppose 177 = 5*n + 27. Suppose -2*y + n = 4. Let t(l) = 2*l**3 - 10*l**2 + 6*l - 7. Calculate the remainder when t(5) is divided by y.
10
Suppose 8 = 4*p - 84. Let o(t) = t**2 + 3*t + 3. Let m be o(-5). Suppose -h + x + m = 0, 3*x = -x - 4. What is the remainder when p is divided by h?
11
Suppose -6*s = -5*s + i - 184, -2*i = -3*s + 547. Calculate the remainder when s is divided by 31.
28
Suppose -2*v - 17 - 63 = 0. Let z = -36 - v. Calculate the remainder when 19 is divided by z.
3
Suppose -609 + 181 = -2*d. What is the remainder when d is divided by 18?
16
Suppose 5*n - 2*y = -y + 22, -5*y = -5*n + 30. Let c = 20 + -14. Suppose -c*p + 10 = -4*p. Calculate the remainder when p is divided by n.
1
Suppose -b + 36 = -4. What is the remainder when 117 is divided by b?
37
Let t(l) = 35 - l + 0 - l + l. What is the remainder when 82 is divided by t(6)?
24
Let b(n) = -n**3 + 14*n**2 - 30*n + 5. What is the remainder when b(9) is divided by 48?
44
Let s = 62 + 14. Calculate the remainder when s is divided by (16 + 1848/(-96))/(1/(-4)).
11
Let w = 2497 + -6107. Calculate the remainder when (-8)/14 + w/(-70) is divided by 1/(-3) + (-80)/(-6).
12
Let h be 2*(-1)/(-2)*26. Let r be 5*1 + 8 + -10. Suppose -4*n = j - h, 20 = -r*j + 4*j + 2*n. Calculate the remainder when 39 is divided by j.
11
Let v(u) = 3*u**2 + 217*u + 302. Suppose -2*f + 26 = -34. Calculate the remainder when f is divided by v(-71).
12
Suppose -26 = v - 0. Let k be v/(-4) - 10/20. What is the remainder when (-3)/k - 90/(-4) is divided by 8?
6
Suppose 3*v - 2*d + 0*d = 42, -4*d + 28 = v. Suppose -v = -3*s - 10. Suppose 10 = s*g - 40. What is the remainder when 49 is divided by g?
24
Suppose -5*h + 403 = 3*p, h = 4*p + 91 - 15. What is the remainder when h is divided by 23?
11
Suppose 0 = -2*p + 3*p - 9. Let s = 9 + p. What is the remainder when 33 is divided by s?
15
Suppose 47 = -3*f + 2*z + 378, -3*z = -4*f + 443. Suppose 116 = 3*d + 5*v, -3*v - 2*v - 32 = -d. What is th