 8. Calculate the remainder when o(14) is divided by 20.
18
Suppose 2*d + 20 = -2*r, -4*r + 2*d - 31 = 3*d. Calculate the remainder when 6/21 + (-208)/r is divided by 11.
8
Let l = -35 - -66. Let c = l + -19. Calculate the remainder when 47 is divided by c.
11
Suppose -2*m = -29 - 1. Suppose -2*p - 2 = 5*d, 2*d + d = -3*p + m. What is the remainder when 16 is divided by p?
7
Suppose 17 = 4*y - 27. Let w be 693/12 - (-3)/(-4). Let p = w + -37. What is the remainder when p is divided by y?
9
Suppose -2*y + 0*y = 44. Let a = -7 - y. Suppose 0 = -p - 1, -k + 4*p = 2*k - 88. What is the remainder when k is divided by a?
13
Let n = -13 + 50. What is the remainder when n is divided by 10?
7
Calculate the remainder when 40 + -14 + (0 - -2) is divided by 15.
13
Let b(m) = -m**3 + 10*m**2 - m - 13. Suppose 2*k - 9 = k. Calculate the remainder when b(k) is divided by 20.
19
Suppose 4 = -4*o - 4, 3*b + 13 = -2*o. What is the remainder when (-2)/b + (-13)/(-3) is divided by (1*-3)/(9/(-6))?
1
Suppose 0 = -5*v + 1 + 14. Let j(h) = h**2 - 7*h - 6. What is the remainder when v is divided by j(8)?
1
Suppose 0 = -0*a - 2*a. Let u be -2*(-24)/3 + a. Calculate the remainder when ((-116)/u)/(2/(-8)) is divided by 15.
14
Calculate the remainder when 4/(-14) + 256/14 is divided by 5.
3
Suppose 22 = 5*x - 3. Let n = -7 - -11. Let j = 18 - n. What is the remainder when j is divided by x?
4
Let f be 27*4*(-2)/(-12). Let t = -10 + f. Suppose -3*d + 31 = -t. What is the remainder when 38 is divided by d?
12
Let b(t) = -t**2 - 6*t - 4. Let z be b(-4). What is the remainder when 11 is divided by (z + 5)*1/3?
2
Suppose -25 + 233 = 4*f. Calculate the remainder when f is divided by 14.
10
Suppose -16 = -8*y + 16. Calculate the remainder when 7 is divided by y.
3
Let t(u) = -3 - 6 + 7*u + 6. Calculate the remainder when 52 is divided by t(3).
16
Suppose -3*r = -4*r + 8. Calculate the remainder when 22 is divided by r.
6
Suppose 0 = -2*w + 58. Let d = 7 - -13. Let s = d - 5. What is the remainder when w is divided by s?
14
Let p = -29 + 161. Suppose -4*z + p + 72 = 4*r, -2*r = 5*z - 117. Calculate the remainder when r is divided by 16.
14
Let n be 0 + -1 - (-8 - -7). Suppose n = -0*q + 5*q - 4*k + 5, -k = -4*q + 7. Calculate the remainder when 5 is divided by q.
2
Suppose -8*c = 44 - 156. What is the remainder when 27 is divided by c?
13
Suppose -r = -4*f + 160, -3*f = -5*r - 100 - 37. What is the remainder when 154 is divided by f?
37
Let u(o) = -o**2 + 8*o + 3. Calculate the remainder when 169 is divided by u(4).
17
Let k(m) = -m**3 + 6*m**2 + 6*m + 7. Let x be k(7). Suppose x*p - 6 = -2*p. What is the remainder when 4 is divided by p?
1
Let k = 110 - 94. Let s = 26 + 20. Calculate the remainder when s is divided by k.
14
Let m = 102 - 170. Let d = -34 - m. Suppose 18 = 2*c + 3*v, -5*c - 33 = -v - 95. Calculate the remainder when d is divided by c.
10
Suppose 4*u - 225 = u. What is the remainder when u is divided by 19?
18
Let k(f) = 5*f + 16. What is the remainder when k(7) is divided by 13?
12
Suppose -2*a - a = -18. Let l(b) = b - 4. Calculate the remainder when 5 is divided by l(a).
1
Suppose -5*i = 20, 2*i - 1 + 13 = z. What is the remainder when (2 + 1)*(-14)/(-3) is divided by z?
2
Suppose 2*v + 0*r = 4*r + 30, r + 3 = 0. Let u be 0 + -2 - (4 + -2). Let b(t) = -t**3 - 2*t**2 + 4*t. What is the remainder when b(u) is divided by v?
7
Let f = -5 + 0. What is the remainder when 31 is divided by (f - -4)/((-1)/16)?
15
Let i(q) = -q**3 + 8*q**2 + 2*q - 4. Calculate the remainder when i(8) is divided by (-13)/(-2) + (-15)/10.
2
Suppose -3*i - 7 = 2*n, -i + 1 = -n - 2*i. What is the remainder when 14 is divided by n?
2
Suppose 2*j - h + 49 = 0, 3*j - 5*h + 55 + 8 = 0. Let s = -6 - j. Let x(w) = -w + 2. Calculate the remainder when s is divided by x(-9).
9
Calculate the remainder when 2/(-15) - 17017/(-165) is divided by 26.
25
Suppose 0 = g - 2*g + 21. Suppose 3*o - 4*o + 40 = 0. Calculate the remainder when o is divided by g.
19
Suppose 3*p - 296 = -b - 34, -4*p + 259 = b. What is the remainder when b/5 - (-3)/(-15) is divided by 14?
12
Calculate the remainder when 0*(-1 + 0) + 29 is divided by (-3 - 5)*(-4 + 2).
13
Let f = -4 - -39. Calculate the remainder when 104 is divided by f.
34
Let s(g) = -1. Let y(f) = -f - 2. Let n(z) = s(z) + y(z). What is the remainder when n(-7) is divided by 3?
1
Suppose 0 = 4*l + 4*h, 4*h = 4*l - h + 45. Let f = l + 24. Calculate the remainder when f is divided by 7.
5
Let g = -9 - -1. Let q = g + 52. What is the remainder when q is divided by 15?
14
Let o = -122 - -154. What is the remainder when 124 is divided by o?
28
Let h(t) = -2*t**2 - 6*t - 4. Let c be h(-5). Let l(j) = 4*j**2 + 4*j + 2. What is the remainder when l(-3) is divided by (15/(-20))/(2/c)?
8
Let u(v) = 52*v - 47*v + 20 - 3. Calculate the remainder when u(9) is divided by 16.
14
Let l(a) = -a**2 + 7*a + 9. What is the remainder when 58 is divided by l(6)?
13
Suppose 4*p + 21 + 1 = 3*g, -5*g + 2*p = -32. Suppose 0 = 4*j + m - 40, -g*m - 16 = -2*m. What is the remainder when j is divided by 4?
3
Let s(o) = -2*o - 3. Calculate the remainder when s(-4) is divided by 4.
1
Let s(g) = g**2 - 7*g + 6. Let u be s(5). Let c = 4 - u. Calculate the remainder when 13 is divided by c.
5
Suppose 2*t + 6 = 5*t. Suppose 3*n - 305 = -t*n. Calculate the remainder when n is divided by 1/(-4 + 85/21).
19
Calculate the remainder when (76/(-8))/((12/(-3))/8) is divided by 4.
3
Suppose 3*f - 47 = -5. Suppose 4*s - i - 36 = 0, -5*s + 52 = -2*i - i. What is the remainder when f is divided by s?
6
Calculate the remainder when ((-140)/(-21))/((-2)/(-12)) is divided by 14.
12
Let u(g) = g - 6. Calculate the remainder when 9 is divided by u(9).
0
Let n(i) = 6*i - 1. Let f = 19 - 7. What is the remainder when n(6) is divided by f?
11
Suppose -5*y + 95 = -0*y + 3*b, -4*b = -2*y + 12. Calculate the remainder when y is divided by 6.
4
What is the remainder when (4 - 2)/(2/7) is divided by 5?
2
Let q be 1*(7/(-1) - -3). Let h(v) = 2*v**2 + 3*v - 3. What is the remainder when 33 is divided by h(q)?
16
Suppose -31 = -3*h + 2*y + 3, 4 = 3*h + 4*y. Suppose 12 - 34 = -v. Calculate the remainder when v is divided by h.
6
Let c(v) = -v**3 + 6*v**2 - 3*v - 3. Suppose -10 = -2*w - 2*y, 5*w + 10 = -4*y + 34. What is the remainder when c(5) is divided by w?
3
Let x(l) = -2*l - 17. Let h be x(7). Let o = h + 51. What is the remainder when o is divided by 7?
6
Suppose 2*q - q - 38 = 0. Suppose v - z = 7 + 3, 0 = -2*v + 5*z + 11. What is the remainder when q is divided by v?
12
Let o = -15 - -26. Let f(r) = -r**2 - 7*r - 6. Let a = 5 - 9. Calculate the remainder when o is divided by f(a).
5
Suppose 4*w - 5*s = 40, -5 = -w - 4*w - 5*s. Suppose 14 + w = n. What is the remainder when n is divided by 10?
9
Suppose 121 = 5*y - x, 4*y - 5*x - 30 = 71. Suppose 3*o = -o + y. What is the remainder when 26 is divided by -2 + o*(-8)/(-3)?
12
Calculate the remainder when 32/(-12)*(-30)/4 is divided by 11.
9
Suppose 0 = -h - 5, -i + 12 = -4*h - 16. What is the remainder when 30 is divided by i?
6
Suppose -5*q + 5*m + 172 - 57 = 0, 2*q - 47 = 3*m. Let f = -4 - -12. Calculate the remainder when q is divided by f.
6
Suppose 5*j - b = 68, 5*b - 7 = -2*j + 31. What is the remainder when ((-92)/4 + -1)/(-1) is divided by j?
10
Let x = -6 + 21. What is the remainder when 57 is divided by x?
12
Suppose 0 = -m - t - 3, 5*m + t + 2*t + 9 = 0. Suppose m = 5*r + 3*n - 17, 3*n + 24 = 3*r + 9. Calculate the remainder when r is divided by (-1 + 0)/(2/(-4)).
0
Suppose 0 = c + 4, 5*b + 5*c - 3*c = 212. Calculate the remainder when b is divided by 1/(2 - 1) - -14.
14
Suppose x - 7 = -0*x. What is the remainder when x is divided by 3/(-6) - 11/(-2)?
2
Let g = 53 + -32. What is the remainder when 41 is divided by g?
20
Let m be 6/(-9) + 17/3. Suppose -j + m*j - 4*y - 60 = 0, -2*j = 4*y - 24. What is the remainder when 25 is divided by j?
11
Suppose 5*n = 2*n + 219. What is the remainder when n is divided by 25?
23
Let w(n) = 3*n**3 - 3*n**2 + 3*n - 3. What is the remainder when w(2) is divided by 9?
6
Suppose 8*q - 12*q = -16. Calculate the remainder when q is divided by 3.
1
Suppose -3*h = -m + 216, 0 = 4*h + 3*m + 402 - 114. Suppose 0*g - 2*g = 12. W