(8). Let n = 20 + a. Calculate the remainder when 8 is divided by n.
3
Let i(y) = 3*y. Let n be i(1). Suppose 2*d - n*d + 6 = 0. Let c = -9 - -20. What is the remainder when c is divided by d?
5
Suppose 2*z + 0*z + 30 = 0. Let o be (0 - z)*(-6)/9. What is the remainder when 13 is divided by (-48)/o - (-2)/10?
3
Suppose -4*j = -9*j + 20. Let t(k) = -k**3 + 4*k**2 + 6*k + 5. Let y be t(5). Let b = y - 0. Calculate the remainder when b is divided by j.
2
Let s(i) = 11*i**3 - 2*i**2 + i**2 - 2*i**3 + i. What is the remainder when 25 is divided by s(1)?
7
Suppose -5*q + 8 = -7. Suppose q*w - 12 = -5*h, 7*w = 2*w + 3*h + 20. Let v = 9 + -3. Calculate the remainder when v is divided by w.
2
Let v = -5 + 5. Suppose -2*t + v + 66 = 0. Calculate the remainder when t is divided by 17.
16
Suppose -11*k + 14*k = 36. Calculate the remainder when 71 is divided by k.
11
Suppose 4*n + 12 = 4*h, -2*h + 16 + 2 = n. What is the remainder when 27 is divided by h?
6
Let b = 87 - 66. Calculate the remainder when 81 is divided by b.
18
Let h(q) = q**2. Let g be h(2). Let v(w) = w - 5. Let x be v(7). What is the remainder when 32 - x/(-4)*g is divided by 9?
7
Let s(b) = 1 - b**2 - 3*b**2 + 3*b**2 + 3*b - 3*b**3. Calculate the remainder when s(-2) is divided by 8.
7
Let n(f) = f**2 - 2*f - 11. Let j be n(5). Let c = 15 - j. Calculate the remainder when 42 is divided by c.
9
Let d = -130 + 190. Suppose -n + 5*n - d = 0. Calculate the remainder when 57 is divided by n.
12
Let d be (-1 - -2) + 2 + -1. Suppose -5*o = 4*r + 27, 3*r - o + d + 4 = 0. Let c(h) = -7*h - 4. What is the remainder when c(r) is divided by 9?
8
Suppose 3*b - 64 = 26. Suppose -3*x + 27 = -b. Suppose -2*k + 4*m - 8*m + 36 = 0, -k - 6 = -4*m. What is the remainder when x is divided by k?
9
Suppose 3 + 81 = 3*s. Let w = 43 - 28. What is the remainder when s is divided by w?
13
What is the remainder when 69/((-6)/24 + 1) is divided by 16?
12
Let d be (-4*(1 + 0))/(-2). Suppose -3*v + 4*b + 52 = 0, -b - 3 + d = 0. Calculate the remainder when v is divided by 10.
6
Suppose 20*d - 1 = 19*d. What is the remainder when 3 is divided by d?
0
Let s(l) = l**2 - 22*l - l**2 + l**2 - 2 + 21*l. What is the remainder when s(8) is divided by 28?
26
Calculate the remainder when 115 is divided by ((-110)/(-33))/((-1)/(-9)).
25
What is the remainder when 3528/54 - (-2)/(-6)*1 is divided by 11?
10
Calculate the remainder when 32 is divided by ((-20)/(-10))/((-2)/(-11)).
10
Let p = 34 - 21. Let b = 6 + 32. Calculate the remainder when b is divided by p.
12
Let u(n) be the first derivative of n**4/4 - 4*n**3/3 - n**2/2 + 3*n + 4. Calculate the remainder when u(5) is divided by 8.
7
Suppose -6*x = -2*x - 8. Suppose 0 = -2*u - x*u + 4*g + 36, -2*g = -3*u + 26. Calculate the remainder when u is divided by 5.
3
Let h(y) = y**3 + 12*y**2 - y + 8. What is the remainder when h(-12) is divided by 11?
9
Let x = -46 + 67. What is the remainder when 57 is divided by x?
15
Suppose -2*b + 12 = -4*c - 42, -5*c + 3*b - 67 = 0. Let g = -8 - c. Calculate the remainder when g is divided by 4.
2
Suppose -4*i + 3*q - 5*q + 74 = 0, -20 = -4*q. Let h = -2 + 32. Calculate the remainder when h is divided by i.
14
Suppose 2*m + 4*d - 12 = 0, -5*m + m - 3*d = -14. Let n(b) = b**3 + 4*b**2 + 4*b + 1. What is the remainder when m is divided by n(-2)?
0
Let i(j) = j**3 + 4*j**2 - 5*j - 1. Let a be i(-5). What is the remainder when a/((4/(-49))/4) is divided by 17?
15
Let f(t) = -3*t + 2. Let u(b) = -7*b + 5. Let l(s) = -15*f(s) + 6*u(s). Suppose -2 = 2*a - 6. What is the remainder when 11 is divided by l(a)?
5
Let l(y) = -6*y - 8. Let x(s) = -s + 1. Let u(i) = l(i) - 4*x(i). What is the remainder when 11 is divided by u(-8)?
3
Suppose h = -0*d + 5*d + 138, -5*h = -5*d - 710. Calculate the remainder when h is divided by 72.
71
Suppose 5*l + 3*v = 2*v + 56, -16 = -3*l - 5*v. Let o = -1 + l. Let r = 22 + 10. Calculate the remainder when r is divided by o.
10
Let l = -68 - -70. Calculate the remainder when 7 is divided by l.
1
Let p(d) = -2*d - d**2 + 3*d - 5*d. Suppose -3*s = -8 - 16. What is the remainder when s is divided by p(-3)?
2
Let t(g) = -g**3 + g + 30. Let l = -39 - -63. Suppose w + 19 = 2*y - 11, 2*y = 4*w + l. What is the remainder when t(0) is divided by y?
14
Let n = -4 - -16. Suppose 0*u + u = -3*z - 48, 2*z = -u - 43. What is the remainder when u/(2 - 7/2) is divided by n?
10
Let b(j) = -j**3 - 7*j**2 + 7. Let s be b(-7). Let r = s - 4. Calculate the remainder when 4 is divided by r.
1
Let i(o) = -o**3 + 2*o**2 - 2*o - 1. What is the remainder when i(-2) is divided by 1 + (-123)/(-12) + (-5)/20?
8
Suppose -5*l - 6 + 91 = 0. Let x(r) = r - 7. Let u be x(5). Let a = u + 51. What is the remainder when a is divided by l?
15
What is the remainder when 1 - (-1 + -87)/2 - 1 is divided by 15?
14
Let i be 10/(6/(-3) + 0). Let t be (6 - 1)*(-14)/5. Let v = i - t. What is the remainder when 17 is divided by v?
8
Let t = -144 - -222. Calculate the remainder when t is divided by 20.
18
Let z(v) = -2*v + 1. Let x(q) = -q**3 + 7*q**2 - 7*q. Let t be x(6). Calculate the remainder when 38 is divided by z(t).
12
Let y(x) be the third derivative of x**4/24 + 7*x**3/6 - x**2. Let b be y(-3). Suppose 0 = -0*z + b*z - 160. What is the remainder when z is divided by 14?
12
Suppose -4*o = 16, -o + 3*o - 139 = -3*p. Let s = -9 - -22. What is the remainder when p is divided by s?
10
Let n(c) = 15*c - 1. Let a(d) = -45*d + 3. Let t(q) = 4*a(q) + 11*n(q). Calculate the remainder when t(-3) is divided by 16.
14
Let z = -31 + 122. What is the remainder when z is divided by 26?
13
Let p(f) = -7*f - 3. Let q = 9 + -12. Calculate the remainder when 53 is divided by p(q).
17
Let m be 12/8*2/1. What is the remainder when (91 - -2)/m + -2 is divided by 15?
14
Let w = -4 + 8. Suppose -2*o - 4*z - 12 = -4*o, -2*o + 16 = -2*z. Calculate the remainder when o is divided by w.
2
Let b = -40 - -50. Calculate the remainder when b is divided by 2/(-6) + (-13)/(-3).
2
Suppose 3*h = -3*m + 27, -h = 6*m - 3*m - 7. Calculate the remainder when (41 + 1)/((-6)/(-4)) is divided by h.
8
Let c(p) be the first derivative of -2/3*p**3 + 2 + 1/4*p**4 + p**2 - 2*p. Calculate the remainder when 36 is divided by c(3).
10
What is the remainder when (140/(-1))/(2/(-1) + 1) is divided by 24?
20
Let l(s) = s**2 - 8*s - 13. What is the remainder when 19 is divided by l(10)?
5
Let m(w) be the second derivative of 2*w**4/3 - w. Let g(c) = c + 19. Let d be g(-18). Calculate the remainder when 15 is divided by m(d).
7
Suppose 2*d - 17 = 33. Calculate the remainder when 123 is divided by d.
23
Suppose t = 4*t + 4*o - 19, 5*o = t. What is the remainder when 12 is divided by t?
2
Let t(f) = 17*f**3 - 2*f + 1. Calculate the remainder when 63 is divided by t(1).
15
Let c be 1*(1 + -2 + 3). Suppose 6*z = c*z + 80. Suppose 35 = 5*k - 3*r - r, z = -4*r. Calculate the remainder when k is divided by 2.
1
Let f be (-15)/10 + 22/4. Suppose f*y = -16, 3*y + 15 = -2*p + 3*p. What is the remainder when 11 is divided by p?
2
Suppose 0 = 2*s - 5*w - 24, -s - 5*w - 5 + 2 = 0. Suppose 0 = s*g - 2*g - 60. What is the remainder when g is divided by 7?
5
What is the remainder when 2*(3 + (-55)/(-10)) is divided by 9?
8
Let w be (-6)/9 + (-92)/(-12). Suppose -4*i - 51 = -w*i. Calculate the remainder when i is divided by (7 - 1)/((-4)/(-6)).
8
Let j(u) = 2*u**2 - 2*u. Suppose 2*h - 5*o = -19, -h - 6 = -o + 2. Let b = 3 + h. Calculate the remainder when j(b) is divided by 14.
12
Let a = 4 - 0. Suppose 6*u - 40 = u + 5*g, -12 = 4*g. Suppose -a*c - 5 = -n, -u*n - 4*c = -2 - 23. Calculate the remainder when 8 is divided by n.
3
Suppose 3*b + 6 = 5*b. Let h(j) = j**2 - j. Calculate the remainder when 10 is divided by h(b).
4
Let m = 32 - -17. Calculate the remainder when m is divided by 26.
23
Let u(n) = 4*n**2 - 3. Let l be u(-3). Calculate the remainder when (-6)/33 - (-534)/l is divided by 10.
6
Suppose -2*g - 70 = -2*d, -29 + 93 = 2*d - 5*g. Let r(s) = -s + 23. Let c be -9 - -11 - (-7 + -1). Calculate the remainder when d is divided by r(c).
11
Suppose -c + 25 = h, -c + 3*h - 47 = -3*c. Calculate the remainder when c is divided by 6.
4
Let g(o) = o**3 + 3*o**2 - 5*o - 3. Let q be 15/3*(-16)/(-10). Let s(r) = 2*r - 9. Calculate