 divided by f.
9
Suppose 3*s - 12 = -s. Let t be -9*(70/s)/(-5). Let p = t - 19. What is the remainder when p is divided by 8?
7
Let f(b) = -b**2 + 11*b + 5. Let j(h) = -h**2 - 3*h - 5. Let y be j(-3). Let g be 8 - (y - -3) - 0. What is the remainder when 57 is divided by f(g)?
12
Let j = 21 - -5. Suppose -20*x + j*x = 174. Calculate the remainder when 86 is divided by x.
28
Let c(w) = -11*w + 2. Let p(k) = k**3 + 14*k**2 + k + 11. Let a be p(-14). Let h(g) = 104*g - 1. Calculate the remainder when h(1) is divided by c(a).
33
Suppose 0 = -d - 2*u + 6, -2*d - 1 = -4*u + 3. Suppose 14 = -d*g + 28. What is the remainder when 11 is divided by g?
4
Suppose -p + 3*z + 15 = 0, p + 3*p - 60 = 5*z. Calculate the remainder when 129 is divided by p.
9
Suppose -3*h - 146 = -8*h - 3*n, 3*h + 4*n - 92 = 0. Calculate the remainder when 587 is divided by h.
27
Let g be 62*2/(-4) + 1. What is the remainder when 21 is divided by (-219)/(-18) - (-5)/g?
9
Let x(w) = -w**3 - 13*w**2 + 15. Let c be x(-13). Suppose 3*g - 108 = -8*r + 6*r, -5*r + c = 0. Calculate the remainder when g is divided by 12.
10
Let w be ((-16)/(-10))/((-4)/(-310)). Let u = w - 67. What is the remainder when u is divided by 12?
9
Suppose 3*m = -2*m + 790. Calculate the remainder when m is divided by (3/(-4) + (-9)/(-36))*(-10 + -54).
30
Let k = 156 + -106. Let i = k - 23. What is the remainder when i is divided by 10?
7
Let w = -13 - -32. Let j(p) = p**3 - 6*p**2 - 2*p + 1. Suppose 3*c + 17 = -3*q + 5*q, -5*q - c = -34. What is the remainder when j(q) is divided by w?
17
Calculate the remainder when 17 is divided by (-12 + 8 - 1)/((-10)/6).
2
Suppose 14*d = 30*d - 1136. What is the remainder when d is divided by 36?
35
Suppose 0 = -r - 5*a - 12 + 4, 0 = 4*r - a - 31. What is the remainder when 25 is divided by r?
4
Suppose p = -i + 13, 0 = p + 4*p + 3*i - 61. Calculate the remainder when 1253 is divided by p.
10
Let y = 397 - 386. Calculate the remainder when 239 is divided by y.
8
Let d = 493 + -469. Calculate the remainder when 65 is divided by d.
17
Let h = -8 + 5. Let x = -2 + h. Calculate the remainder when 31 is divided by (8/(-5))/(1/x).
7
Suppose -4*x + 71 = -73. Suppose -x = 3*m - 7*m. Let a = -196 + 212. Calculate the remainder when a is divided by m.
7
Calculate the remainder when 1/1*(23 - -22) is divided by 24.
21
Suppose 2*y = -5*p + 48, 3*p - 54 = -y - 2*y. Calculate the remainder when 81 is divided by y.
11
Suppose -2*z + 4*u = -38 - 0, 0 = -4*z - 2*u + 116. Calculate the remainder when 45 is divided by z.
18
Suppose -f - 2*m + 42 = 0, -24*f + 5*m - 48 = -25*f. Calculate the remainder when 75 is divided by f.
37
Suppose 0*i - 2*j = 5*i - 1185, 5*i + 3*j = 1185. Let w = i + -140. Suppose 4*r = 2*r + 50. Calculate the remainder when w is divided by r.
22
Let z = -66 - -130. Let w = 182 - z. What is the remainder when w is divided by 30?
28
Suppose -46*j = -270 + 40. Suppose n + 5*d + 2 = -4, 4*d = -2*n + 12. Calculate the remainder when n is divided by j.
4
Suppose 8*p = -23*p + 9579. What is the remainder when p is divided by 13?
10
Suppose -4*i + 84 = -5*l, 2*i = -3*i + 2*l + 88. Let o = -89 - -125. Let a = o - i. Calculate the remainder when a is divided by 7.
6
Let w = 168 + 56. Suppose 6*t - 46 = w. Suppose -23 = 4*p - 115. What is the remainder when t is divided by p?
22
Suppose 19 = 5*u - 11. Suppose -4*z = -u*z + 10. Calculate the remainder when 15 is divided by z.
0
Suppose -12 = -27*x + 31*x. Let n = x + 23. Suppose 3*f - h - 23 = -4, 5*f - n = 4*h. Calculate the remainder when 29 is divided by f.
5
Suppose -3*k + 7 = -2*k - 2*p, -k - 3 = 3*p. Suppose 2*d = -6*z + 5*z + 3, -3*z + 21 = k*d. What is the remainder when 31 is divided by z?
9
Suppose -3*l = -7 - 5. Suppose 32 = w + r, -50 = -2*w + r + 4*r. Calculate the remainder when w/l*16/6 is divided by 7.
6
Let y = -9 - -16. Let n = y - 7. Suppose o + 66 = 5*f, 5*f - 90 = -n*f - 5*o. What is the remainder when 69 is divided by f?
13
Suppose 2*z + z = 5*q + 208, 3*z - 194 = -2*q. Calculate the remainder when z/24*(-1 + 17) is divided by 8/(-28) - (-107)/7.
14
Let g(j) = 3*j + 124. What is the remainder when g(-31) is divided by 13?
5
Suppose -3*i - c = 49 - 237, -4*i + 2*c = -244. Calculate the remainder when i is divided by -7*(-10)/105*24.
14
Suppose 4*u + 6 - 2 = 0, 4*u = z - 6. Let g(b) = -2*b + 42. Let x = -21 - -41. Calculate the remainder when z is divided by g(x).
0
Suppose -2*i = -0 + 6. Let r be 4/(6/i) - 1069. What is the remainder when (10/(-15))/(6/r) is divided by 30?
29
Let n(m) = -m**3 - 8*m**2 - 8*m + 2. Let w(v) = v**2 - 9*v + 11. Suppose 0*a - a = -6. Let u be w(a). Calculate the remainder when n(u) is divided by 5.
4
Let o = -35 - -51. Let p = -4 + o. Let g = 2631 - 2586. What is the remainder when g is divided by p?
9
Let w = 48 + -46. Suppose -w*q = 3*q - 55. What is the remainder when q is divided by (-1)/((-1)/3*1)?
2
Suppose -2*v = -3*k + 52 + 72, -4*v - 96 = -2*k. Calculate the remainder when 80 is divided by k.
4
Let c = 369 + -167. Suppose -61 + c = 3*f. Suppose -f = -2*k + 3*h, h - 118 = -4*k - h. What is the remainder when k is divided by 15?
13
Let a(f) = f**3 - 12*f**2 - 12*f + 1. Let s = 17 - 4. Calculate the remainder when (-1 - -1) + 1 + 52 is divided by a(s).
11
Suppose 41 = 5*s + 11. Suppose 5*x - 3*u + 37 = -2*u, -4*u + 29 = -3*x. Let t = x + 29. Calculate the remainder when t is divided by s.
4
Suppose -q - 24 = -2*q + 2*y, 2*y + 6 = 0. What is the remainder when (-4)/10 - (-214)/10 is divided by 222/q - (-1)/(-3)?
9
Let a(s) = s**3 + 8*s**2 + 6*s + 5. Let b be 1 - ((-24)/(-3) - 0). Let c be a(b). Suppose 3*z = 69 - c. What is the remainder when z is divided by 10?
9
Suppose -3*o = 0, -4*g + 2*o = -8*g + 328. What is the remainder when g is divided by (105/20)/((-3)/8*-1)?
12
Let m = -241 - -302. Calculate the remainder when m is divided by 32.
29
Let y be 8/(-4)*(-54)/4. Suppose 0*w + 3*w - y = 0. What is the remainder when 44 is divided by w?
8
Let h(z) = -32*z**3 - z**2 - z. Let a be h(-1). Let i = 18 - a. Let j = 20 + i. Calculate the remainder when j is divided by 1.
0
Let y(u) = -41*u + 146. What is the remainder when y(2) is divided by 16?
0
What is the remainder when 105 is divided by (32/(-3) - -10)/((-1)/21)?
7
Let w = 7 + 0. What is the remainder when 3/21 - -2*295/35 is divided by w?
3
Suppose 3*q + 141 = -0*q. Let z = -25 - q. Calculate the remainder when 102 is divided by z.
14
Suppose 0*t + t - 415 = 0. Let b be (332/16)/((-1)/(-8)). Suppose -5*i + 2*j = -t, j + b = 2*i - 0*i. What is the remainder when i is divided by 28?
27
Calculate the remainder when 1 + 0 - (3 - 93) is divided by (6392/(-16))/(-17) + (-3)/6.
22
Let j(l) = 53*l - 37. Calculate the remainder when 186 is divided by j(1).
10
Let o be (675 - -4) + -1 + -6 + 3. Suppose o = 9*w + 6*w. What is the remainder when w is divided by 4?
1
Let s = 3 + 2. Suppose 5*a - s = 0, -x - 3*a = -20 - 22. Suppose 0*y + 3*y - 42 = 0. Calculate the remainder when x is divided by y.
11
Suppose 0 = -5*g - 5. Let l be -3 + -6*115/(-10). What is the remainder when (2 - g) + 6 + l is divided by 19?
18
Let q = 183 + -50. Calculate the remainder when q is divided by 5/(-2) - (-365)/10.
31
Let m be (-4)/(-6)*180/8. Let v = m + -5. Calculate the remainder when (0 + 1)*493/17 is divided by v.
9
Let z(m) = -m**2 - 7*m + 3. Let p be z(-7). Let q be 1/(-7) + (-54)/14. Calculate the remainder when (p/(-2))/(2/q) is divided by 3.
0
Suppose -32 = -5*g - 3*x, -2*x - 1 - 1 = 0. Suppose 23*o + 72 = 26*o. Calculate the remainder when o is divided by g.
3
Let p = -394 + 396. Calculate the remainder when 20 is divided by p.
0
Let f(w) = -w**3 + 2*w**2 - 2*w + 1. Let q be f(1). Suppose q = 4*a - 17 - 3. Let y = 1706 + -1693. Calculate the remainder when y is divided by a.
3
Let s be (-4 - 5)*-4 + -3. Let v = 36 - s. Suppose v*m = i - 32, 44 = i - 5*m + 8. What is the remainder when i is divided by 15?
11
Let t = -123 - -156. Calculate the remainder when 129 is divided by t.
30
Let k(z) = -13*z**2 - 159*z - 10. Calculate the remainder when k(-12) is divided by 8.
2
Suppose -19 = -6*f - 1. Suppose -267 = -f*z - 18. Calculate the remainder when z is divided by 29.
25
Suppose 0*b + 81 = 3*b. Suppose 108 = -6*m + 2*m. Let t = m + 41. Calculate