)*16/24. Let t = 7 + -11. Calculate the remainder when 45 is divided by (-33)/a - t/(-8).
13
Suppose -2 = -4*u + 3*u. Suppose 0 = -n + 5, u*n - 7 = -5*s + 23. Suppose -s*o = -29 - 39. What is the remainder when 50 is divided by o?
16
Let c = -16 - -12. Let l = c + 6. Suppose -46 = -l*d - 8. What is the remainder when d is divided by 10?
9
What is the remainder when 104 is divided by ((-14)/8)/((-7)/420*5)?
20
Let v(t) = t**3 - 6*t**2 + 5*t - 10. Let r be v(6). Suppose 5 = 5*i - 2*i - x, -3*x = -4*i + 10. Let w = r - i. Calculate the remainder when 72 is divided by w.
15
Suppose -a - 30 = -3*a. Suppose 0 = -10*s + a*s - 55. Calculate the remainder when 41 is divided by s.
8
Let k = -36 + 17. Let j = k + 41. Let q(l) = 43*l - 215. Calculate the remainder when q(6) is divided by j.
21
Let o(p) = -3*p**2 - 11*p + 27. Calculate the remainder when 29 is divided by o(-5).
1
Suppose 4*j - 30 = -j. Suppose 0 = 11*l - 319 + 66. Calculate the remainder when l is divided by j.
5
Suppose 2*s - 4 = 0, 0 = 4*o - s + 47 - 953. Calculate the remainder when o is divided by 30.
17
Suppose 7 = 5*i - 3. Suppose 0 = 5*a, i*b + 32 + 48 = -2*a. Let n = b + 58. What is the remainder when 34 is divided by n?
16
Let d(s) = 22*s**2 - 2*s + 2. Let a = -18334 - -18356. Calculate the remainder when d(2) is divided by a.
20
Let z(m) = m + 3. Suppose 3*p = -l + 3*l - 19, 25 = 2*l - 5*p. Let x = -25229 - -25250. Calculate the remainder when x is divided by z(l).
5
Suppose 3*l + 11*l - 182 = 0. Calculate the remainder when 50 is divided by l.
11
Suppose 0 = -6*n + 8*n - 4. Suppose 4*s = -5*p + 40, -2*s = -2*p - n*p + 6. Let a(x) = 2*x**2 - 6*x + 6. What is the remainder when 53 is divided by a(p)?
11
Let m = -127 - 127. Let j = -163 - m. Calculate the remainder when j is divided by 31.
29
Suppose 0 = -20*w + 312 - 272. What is the remainder when 52 is divided by w?
0
Let f(x) be the third derivative of x**4/8 - 4*x**3 + 8*x**2. What is the remainder when 71 is divided by f(14)?
17
Suppose 6*m = -0*m + 204. Suppose 31*u = m*u - 69. What is the remainder when 68 is divided by u?
22
Let x = -571 - -673. What is the remainder when 199 is divided by x?
97
Suppose 0 = -5*k + 2*r + 363, r = -2 - 2. What is the remainder when k is divided by 19?
14
Let j = -11 - -34. Calculate the remainder when (86 - 2) + -1 + 4 is divided by j.
18
Let l = 130 - 132. Calculate the remainder when ((-15)/(-20) + l)*-108 is divided by 34.
33
Suppose 0 = 41*h - 26*h - 120. Let w(r) = -r**2 + 7*r - 2. Let z be w(7). Let c = 29 - z. What is the remainder when c is divided by h?
7
Let h(l) = l**2 - 13*l + 24. Let k be h(10). Let m(u) = u**3 + 8*u**2 + 7*u - 1. What is the remainder when 114 is divided by m(k)?
27
Let w = 44 + 11. Suppose -3*d = -4*a - w, -d - 3*a - 2 + 3 = 0. Suppose -106 = -2*f - 4*z, -5*f + 183 = -z - 60. Calculate the remainder when f is divided by d.
10
Suppose -5*x - 3*r = 79 + 152, 4*x - 4*r = -204. Let f = 78 + x. Calculate the remainder when (-938)/(-8) + -1 + 9/12 is divided by f.
27
Let a(x) = -42*x. Let n be a(-2). Let q = 127 + -82. Let z = n - q. What is the remainder when z is divided by 10?
9
Suppose h - 5*t + 41 = 2*h, 0 = -5*h + 4*t + 89. What is the remainder when (10/(-4) + 3)/((-1)/(-166)) is divided by h?
20
Suppose 0*a + 3*n = -5*a + 115, -5*a - 5*n = -125. Calculate the remainder when (-59)/(-1) - 0/(-1) is divided by a.
19
Let w(l) = l**3 - 5*l**2 + 48*l - 299. What is the remainder when 88 is divided by w(6)?
13
Suppose -b + 19 = 75. Let u = b + 78. Calculate the remainder when u is divided by 6.
4
Let l be ((-51)/2)/((-11)/22). Suppose -4*p + 3*p = -l. Suppose -3*r + 72 = -p. What is the remainder when r is divided by 22?
19
Suppose -5*t - b + 1619 = 0, 25*t = 20*t - 3*b + 1627. What is the remainder when t is divided by 25?
23
Suppose 5*n = 3*y + 2*y, y = 5*n - 8. What is the remainder when 1 - 2 - (-16 + 0) is divided by y?
1
Let m(n) = -n**2 + 24*n - 74. Let d be m(25). Let r = -82 - d. What is the remainder when 48 is divided by r?
14
Suppose -3*c + 28 = q, q + 4*c + 32 = 4*q. What is the remainder when 44 is divided by q?
12
Suppose -123 = -4*c - v, 2*c - v + 30 = 3*c. What is the remainder when c is divided by 8?
7
Suppose -3 = -5*g + 12. Suppose 43*k - 593 = -550. What is the remainder when g is divided by k?
0
Calculate the remainder when 95 is divided by (-7)/(-91) - 207/(-13).
15
Suppose 0 = -12*m + 7*m + 1745. Calculate the remainder when m is divided by 13.
11
Let l(y) be the third derivative of -y**5/60 - 17*y**4/24 + 14*y**3/3 - 10*y**2. What is the remainder when 88 is divided by l(-18)?
8
Suppose -3*b = -5 - 31. Suppose j + 18 = -5*u, -5*j - 2*u + 0*u = 44. Let k(o) = o**2 + 4*o + 2. Calculate the remainder when k(j) is divided by b.
10
Let n(r) = 5*r + 71. Calculate the remainder when n(-4) is divided by 18.
15
What is the remainder when 82 is divided by ((3 - 5)/(-6))/(8/576)?
10
Calculate the remainder when 279 is divided by ((-30)/(-1 - 2))/(12/24).
19
Let r = 197 - 94. Calculate the remainder when r is divided by 7.
5
Let q(x) = -2*x**3 - 16*x**2 + 14*x - 19. What is the remainder when 116 is divided by q(-9)?
14
Let k(q) = -4 + 3*q - 2*q + 0*q. Let y be k(11). Suppose -2*z + 3*p = -y, 2*p + 12 = 6*p. Calculate the remainder when 14 is divided by z.
6
What is the remainder when 289 is divided by (-3)/((-81)/(-12)) + 780/54?
9
Suppose 4*a + 4*g - 6 = -2, a - 3 = -3*g. Suppose -r - 506 = -3*t, -2*t + 3*t - r - 166 = a. What is the remainder when t is divided by 43?
41
Let z be (-7)/(-2)*(-22)/(-11). Suppose -2*b - 60 = -5*v - z*b, 0 = 3*b. What is the remainder when (-1 - -3) + v - 1 is divided by 5?
3
Let g be -2 + 0 - (13 + -3). Calculate the remainder when 18 - -1 - (1 - 4) is divided by 44/6 - 8/g.
6
Let w = 20 - 16. Suppose f - w = -4*y, -4*y + 6 = y + f. What is the remainder when 317/15 - y/15 is divided by 11?
10
Let x = -680 + 686. Calculate the remainder when 58 is divided by x.
4
Let u be (2/(-6))/(10/(-150)). Suppose -3*z + u = -22. Suppose -z*n = -6*n - 3. Calculate the remainder when 2 is divided by n.
0
Let p(b) = -b + 10. Suppose -2*o = -10 - 8. Calculate the remainder when p(-15) is divided by o.
7
Let s = -368 + 533. Suppose n = -a - 3*a + 158, -n + 3*a + s = 0. What is the remainder when n is divided by 41?
39
Let w(x) = 5*x**2. Let l be w(-2). Let h = l + -7. Calculate the remainder when 24/(-5)*75/(-10) is divided by h.
10
Suppose 7*y = 5*y + 56. Calculate the remainder when y is divided by 2 + -4*(-4)/2.
8
Let c(t) = t**2 + 10*t + 34. Calculate the remainder when 148 is divided by c(-9).
23
Suppose 26*o - 1289 = -41. Calculate the remainder when o is divided by 18.
12
Suppose -u - c = 63, 2*u - 4*c + 151 = -5. Suppose -89 + 278 = 9*g. What is the remainder when g is divided by 6/(-33) + u/(-11)?
3
Suppose -5*n = -5*r - 290, -n + 3*r = 19 - 83. Calculate the remainder when n is divided by 12.
7
Suppose -6*i + i + 15 = -2*q, -2*i + q + 6 = 0. Suppose -g = i*g - 436. What is the remainder when g is divided by 16?
13
Let a(x) = -2*x + 25. Let q(i) = -i + 12. Let l(z) = -4*a(z) + 9*q(z). Calculate the remainder when 39 is divided by l(-2).
9
Let g be 0/(2 - 3 - -2). Suppose g = -8*n + 3*n + 35. Calculate the remainder when (-13 - 208/(-48))*1*-3 is divided by n.
5
What is the remainder when 20 is divided by (-115)/(-46) + 19/2?
8
Calculate the remainder when ((-210)/49 + 9)/((-3)/(-21)) is divided by 27.
6
Let a = 9 - 7. Suppose 0 = -2*h - h + 5*x + 52, 4*h - a*x - 46 = 0. Let z(w) = 2*w + 15. Calculate the remainder when z(5) is divided by h.
7
Suppose 8*l + x = 9*l - 476, 5*x + 1907 = 4*l. Calculate the remainder when l is divided by 19.
17
Suppose r + r = 120. Suppose -4*h = -376 - r. Suppose 0 = 3*c + 43 - h. Calculate the remainder when c is divided by 8.
6
Let l(m) = -8*m - 1. Calculate the remainder when 1006 is divided by l(-1).
5
Let b = -1 - -17. Calculate the remainder when b is divided by (-725)/(-58) - (-14)/(-4).
7
Let w(h) = -5*h - 9. Let u(t) = -t**3 - 11*t**2 + 26*t - 5. Let r be u(-13). What is the remainder when 45 is divided by w(r)?
13
Let r(p) = p - 8. Let y be r(11). Suppose 0 = 5*k + y - 8. What is the remainder when 78 is divided by (1/(3/60))/k?
18
Let t = 45 - 24. Calculate the remainder when t is d