ppose -14 = -0*i - i. Calculate the remainder when (-2)/(-2) - ((-19)/38)/(2/96) is divided by i.
11
Calculate the remainder when 407 is divided by 612/(-21)*(3 - 104/16).
101
Suppose 3*j + 5 = -2*j. Calculate the remainder when (-15)/(-3)*-13*j is divided by 33.
32
Let s(c) = -c**3 - 6*c**2 + 2*c - 23. Let o(t) = 3*t**2 + 2*t - 5. Let w = -5 + 1. What is the remainder when o(w) is divided by s(-7)?
11
Let i(h) = 5*h**2 - 2*h + 7. Let o be i(3). Suppose -2*s - o = -0*s. Calculate the remainder when 9/(-3) + s/(-1) is divided by 7.
6
Suppose 491 = 12*x - 169. Suppose 3*a - x + 3 = -f, -3*a - 3*f + 42 = 0. What is the remainder when 91 is divided by a?
15
Let f(y) = 10*y - 430. Calculate the remainder when 131 is divided by f(46).
11
Suppose -4*x - 318 + 34 = 0. Let k = x + 83. What is the remainder when 45 is divided by k?
9
Let v be ((-56)/140)/((-1)/120). Let w = v - 23. Suppose -2*o - 3*o + 4*l + 63 = 0, 0 = o + 3*l - 24. What is the remainder when w is divided by o?
10
Suppose 0 = -3*h - 2*j + 50, -45 + 44 = -j. Calculate the remainder when 92 is divided by h.
12
Let w = 566 - 558. What is the remainder when w is divided by 3?
2
Let g = -525 + 834. Calculate the remainder when g is divided by 62.
61
Suppose -20 = -3*g - 50. Let c = 16 + g. Suppose 0 = -3*v + p + 67, 3*v = c*v - 4*p - 52. Calculate the remainder when v is divided by 9.
6
Let q(u) = u**2 - 6*u + 7. Let v(l) = -976 + 976 + 7*l. What is the remainder when v(1) is divided by q(5)?
1
Suppose 0 = 2*o - 0*o + 40. Let f = o - -20. Suppose f = w - 8 - 0. Calculate the remainder when 21 is divided by w.
5
Let t(l) = l**2 + 5*l + 9. Let y(n) = 0*n - 3 + 62 + 2*n. What is the remainder when y(0) is divided by t(-6)?
14
Suppose s + 2*s = 15. Suppose s*y - 5 - 10 = 0. Suppose y*d - 144 = -3*g, -2 = -g - 4. Calculate the remainder when d is divided by 13.
11
Suppose -3*s = -0*s - 6. Suppose -s*t + 0*t = f + 17, 5*t + 2 = 2*f. Calculate the remainder when 15 is divided by -4 - f/3 - -5.
3
Let k be 0/((63/(-15) - -4)*-5). Calculate the remainder when 70 is divided by (k + 1)*(13 + 2).
10
Suppose -414 = -7*t + 510. What is the remainder when t is divided by 23?
17
Let h(r) = r**3 + 15*r**2 - r - 9. Let z be h(-15). Suppose -54 = -5*q + 2*b, -4*q + 2*b = z*b - 60. What is the remainder when 44 is divided by q?
8
Let z = 50 + -113. Let g = z - -122. Calculate the remainder when g is divided by 30.
29
Suppose -74 - 142 = -18*k. Calculate the remainder when 237 is divided by k.
9
Suppose 2*k + 59 = -4*v + 287, 0 = -5*k - 2*v + 546. Calculate the remainder when k is divided by 29.
21
Let t = -38 - -43. Suppose 4*x = -t*y + 246, y = x - 0*x - 57. What is the remainder when x is divided by 12?
11
Let g = 1 - -5. Suppose -4*p + 3 = -13. Suppose p*s - 14 = -2*x, 4*x - 3*s - 75 - 8 = 0. Calculate the remainder when x is divided by g.
5
Suppose -1 = -c, -2*a + 4*c + 3*c = -373. Calculate the remainder when a is divided by 64.
62
Suppose -8*n = -20 - 44. Calculate the remainder when 29 is divided by n.
5
Let w(b) = -22*b + 22 + 9*b + b**2 + 5. Calculate the remainder when w(11) is divided by 1.
0
Suppose -3*v - 3*j = -0*j - 111, -3*j + 70 = 2*v. Let y = -639 - -656. What is the remainder when v is divided by y?
7
Let m be (-83)/(-2) + (-7)/(-14). Suppose 0 = 5*r + 2*y - 45, -y - m = -2*r + 3*y. Calculate the remainder when 40 is divided by r.
7
Let y(r) = 2*r**2 - r + 10. Let b be y(5). Let s = b + -23. What is the remainder when 62 is divided by s?
30
Let d be (-51)/119 + (-50)/14. Let a(m) = m**3 + 5*m**2 - 2*m - 4. Calculate the remainder when 39 is divided by a(d).
19
What is the remainder when ((-90)/(-12))/((45/(-50))/(-3)) is divided by 11?
3
Suppose 468 = 7*a + 244. What is the remainder when 93 is divided by a?
29
Let w = 1785 - 1633. What is the remainder when w is divided by 88?
64
Calculate the remainder when 268 is divided by (-120)/(-16)*-1*-6.
43
Let k(c) = c**2 - 3*c + 6. Let x(v) = v**2 - 3*v + 7. Let a(o) = -4*k(o) + 3*x(o). Let i be a(5). Let b = 26 + i. What is the remainder when 64 is divided by b?
12
Suppose 0 = 28*v - 13452 - 4636. Calculate the remainder when v is divided by 24.
22
Suppose 5*z + 5*q = 475, -99 = -z - q - q. Calculate the remainder when z is divided by 19.
15
Let k be 56/(-7)*(1 - (-52)/(-8)). Let z = 6 + k. Calculate the remainder when z is divided by 14.
8
Let a = -54 - -151. Suppose 5*y - a = 8. Suppose 3*x + y = 6*x. What is the remainder when 25 is divided by x?
4
Let z be -4 - (1 + (-49 - (2 - 2))). Suppose -5*j = -3*j - z. What is the remainder when 131 is divided by j?
21
Suppose 71 = t - w, -4*w - 1 = -21. What is the remainder when t is divided by 6?
4
Let c be 14/63 + (-32)/(-18). Let i(o) = -3*o**3 - c*o - o**3 - 12 - 4*o**2 - 4*o**2 + 3*o**3. What is the remainder when 6 is divided by i(-8)?
2
Let h(o) = -2*o - 9. Let x(p) = p**2 + 11*p + 5. Let w be x(-10). Calculate the remainder when 3 is divided by h(w).
0
Let q(s) = -s + 5. Let m be q(10). Let t(n) = 3*n**2 + 14*n + 4. Suppose j = -3*j + 128. What is the remainder when j is divided by t(m)?
5
Suppose c + 31 = 3*b, 7 = c - 3*c - 5*b. Let l = 217 - c. What is the remainder when l is divided by 47?
45
Let b(j) = -j**3 + 14*j**2 - 11*j - 8. Let z be b(13). Calculate the remainder when 39 is divided by ((-63)/12)/(z/(-48)).
11
Suppose 2*q - 142 = 4*x, 0 = -4*q - x + 237 + 65. What is the remainder when 187 is divided by q?
37
Suppose -2*k - 4*m + 128 = 0, 15*k - 348 = 10*k - 3*m. Calculate the remainder when 573 is divided by k.
69
Suppose -176 = -3*s - 8*s. What is the remainder when 92 is divided by s?
12
Let b = -40 - -45. What is the remainder when 94 is divided by b?
4
Suppose 3*u - 2*v - 240 = 0, -v = -5*u + 583 - 176. What is the remainder when 488 is divided by u?
78
Let s(z) = z**3 + z**2 + z. Let v be s(0). Suppose -18*x - 70 + 322 = v. Calculate the remainder when 26 is divided by x.
12
Let d(v) = -22*v - 5. Let b be d(-4). Suppose 17 = r + 3*c, 4*r - 2*c - b = c. Calculate the remainder when 79 is divided by r.
19
Suppose -5*f + 125 = -h, 0 = 2*f - h - 2*h - 37. Suppose f = -0*m + 2*m. Suppose -2 = -3*b + m. What is the remainder when 7 is divided by b?
2
Suppose 10 = -2*p, 3*l - 371 = p - 3*p. Let a = l + -69. Calculate the remainder when a is divided by 10.
8
Let f = -435 - -447. Calculate the remainder when 226 is divided by f.
10
Let r(g) = g + 1. Let i be r(-2). Let v(o) = 2*o**2 - 40*o - 29. Let d be v(21). Let w = i + d. Calculate the remainder when w is divided by 8.
4
What is the remainder when (442/4)/(65/130) is divided by 73?
2
Let q(d) = -9*d. Let f(t) = 5*t. Let r(c) = 5*f(c) + 2*q(c). What is the remainder when 18 is divided by r(1)?
4
Calculate the remainder when 165 is divided by 34/10 + -4 - (-126)/10.
9
Let f = 2 - -54. Suppose 4*d = -h - 52 - 33, -2*d + 4*h - f = 0. Let y = d + 31. Calculate the remainder when 35 is divided by y.
8
Suppose 2*o - 13 = -5. Suppose -85 = -o*n - n. Suppose 0 = -2*i + 5*g + n, 2*g + 2*g = i - 7. What is the remainder when i is divided by 5?
1
Let c(s) = s**3 + 24*s**2 - 27*s + 62. Calculate the remainder when c(-25) is divided by 19.
17
Let b(n) = 7*n + 205. Suppose 0*k - g + 280 = 5*k, 3*k = -5*g + 146. What is the remainder when k is divided by b(-25)?
27
Let r(p) = -p + 48. Let g = 116 + -127. What is the remainder when r(g) is divided by 20?
19
Let p(w) = -w**2. Let x(s) = -4*s**2 - 9*s + 11. Let n(v) = -3*p(v) + x(v). Calculate the remainder when 40 is divided by n(0).
7
Let j(d) = 2*d**3 - 4*d**2 + 3*d - 1. Let x = -174 - -302. What is the remainder when x is divided by j(3)?
24
Let u(w) = -3*w**3 - 7*w**2 - 12*w - 5. Let p(q) = -q**2 + 14*q + 12. Let z be p(15). What is the remainder when 292 is divided by u(z)?
47
Let p(r) be the second derivative of 2*r**2 + 0 - 7*r + 5/3*r**3. Calculate the remainder when p(2) is divided by 9.
6
Calculate the remainder when 4 + (-319)/(-1) + -3 is divided by 79.
4
Calculate the remainder when (19/(-2))/(3 + (-42)/12) is divided by 4.
3
Let l(g) = -7*g + 4. Let w be l(-4). Suppose 5*m = m + w. Calculate the remainder when ((-14)/(-1))/(6/9) is divided by m.
5
Let g(c) = -3*c - 5*c**2 - 4*c**2 + 7 + 10*c**2 + 0*c**2. Let p be g(4). Let z(t) = t**3 - 10*t**2 - 11*t + 13. What is the remainder when