*z + 34 = 0, -5*z - 199 = -4*h - b*h. Calculate the remainder when h is divided by 24.
22
Let s = 164 + -147. Suppose 217 = 3*l + 4*h, 0 = 3*l - 3*h - h - 185. Calculate the remainder when l is divided by s.
16
Let v(k) = -k**2 - 4*k. Let d = 81 - 79. Suppose -2*s + 4*c = -8, -d*c = -3*c + 2. Calculate the remainder when s is divided by v(-3).
2
Let c(o) = -2*o - 6. Let w(k) = 5*k + 13. Let u(f) = -13*c(f) - 6*w(f). Let s = -11 - -4. What is the remainder when u(s) is divided by 15?
13
Let q(c) = 204*c**2 + c. Let s be q(-1). Suppose 3*f - s + 44 = 0. What is the remainder when f is divided by 14?
11
Suppose 3*y - 9 - 84 = 0. What is the remainder when 33 is divided by y?
2
Suppose 0*u + 336 = 3*u. Suppose -t - t = -u. Calculate the remainder when t is divided by 19.
18
Let q(n) = -n**3 + 15*n**2 - 12*n - 7. Suppose -4 = 6*c - 88. What is the remainder when q(c) is divided by -1*(2 - 1) - -12?
10
Let v = 64 + -135. Let k = -33 - v. Suppose -65 = -8*w + 3*w. Calculate the remainder when k is divided by w.
12
Let g(w) be the third derivative of -w**6/120 - w**5/6 - w**4/6 - 4*w**3/3 - 2*w**2. Calculate the remainder when 94 is divided by g(-10).
30
Let k = 1 + -4. Let t be (-2 - 0)/(1/(-6)). What is the remainder when 25 is divided by k/(-1*4/t)?
7
Suppose 0 = 3*o - 2 - 4. Let n = o - -5. Suppose 0 = -4*c + 11 + 1. Calculate the remainder when n is divided by c.
1
Suppose -97 = -q + w + 39, -2*w = q - 145. What is the remainder when q is divided by 71?
68
Suppose -4*v + 1 = -4*i - 71, 0 = 4*i. What is the remainder when (-544)/(-6) - (-6)/v is divided by 31?
29
Let d = -50 - -248. Calculate the remainder when d is divided by 30.
18
Let q(u) = 2*u**2 + 17*u - 48. What is the remainder when 251 is divided by q(3)?
20
Let w = -68 + 132. Let l = w + 4. Let n = 36 + -18. Calculate the remainder when l is divided by n.
14
Calculate the remainder when (1610/(-4))/(-7) + (-35)/(-14) is divided by 34.
26
Suppose 0*j + j = -5*s + 27, -2*s = -8. Suppose 0 = -4*l + 8*l + 2*h - 206, -154 = -3*l - 2*h. Calculate the remainder when l is divided by j.
3
Let b(p) = p**3 + 4*p**2 - 2*p - 3. Let g be b(-4). Let t(h) = -2 + 16*h - 8*h + 23 + h**2 + g*h. What is the remainder when t(-17) is divided by 23?
20
Let h = 1 - 9. Let d be 42/4 + 12/h. Suppose -z = -d*z + 96. Calculate the remainder when 35 is divided by z.
11
Calculate the remainder when 207 is divided by (-15)/(-1) + (-1 - -2) + -6.
7
Suppose 13*g - 749 = 876. What is the remainder when g is divided by 32?
29
Suppose 33 = 4*p - 7. Suppose -9*y + p*y = 11. Calculate the remainder when 31 is divided by y.
9
Let r(d) = -d**2 - 5*d - 7. Let p be r(-5). Let z = -6 - p. Suppose -2*k + 3*n = 5*n - 12, 4*k - n = -1. What is the remainder when k is divided by z?
0
Let z = 7 + -12. Let u(m) = m**3 + 9*m**2 + 5*m + 3. Suppose -4*d + 3*d = -27. Calculate the remainder when u(z) is divided by d.
24
Suppose 838*r + 406 = 845*r. What is the remainder when 636 is divided by r?
56
Let n(c) = -c**3 - 6*c**2 + c + 8. Let w be n(-6). Suppose -2*q + w*y + 84 = -8, -3*q - y = -118. What is the remainder when q is divided by 11?
8
Let c(n) = -n**3 + 9*n**2 + 77*n + 29. What is the remainder when c(14) is divided by ((-12)/(-30))/((-1)/(-55))?
17
Let l(x) = -2*x**2 + 8*x - 6. Let b be l(3). Suppose b*y - 88 = -8*y. Let c(z) = -6*z + 1. What is the remainder when c(-3) is divided by y?
8
Let o(b) = -17. Let w(v) = -v + 1. Let i(g) = o(g) + 3*w(g). Suppose 0 = -3*p + 3, 0 = 4*x - p + 39 - 6. What is the remainder when 39 is divided by i(x)?
9
Let o = 31 + -5. Suppose -23*s + 22*s + o = 0. Calculate the remainder when 50 is divided by s.
24
Suppose 5*g - 54 = -f, -f + 3*g + 5 = -73. Calculate the remainder when 84 is divided by (6/(36/f))/((-1)/(-2)).
15
Let m(a) = 2*a**3 - 3*a**2 - a + 1. Let s be m(3). Let o = 15 + s. Suppose 12 = 4*z, 0 = -5*l + 8*z - 3*z + o. Calculate the remainder when 18 is divided by l.
7
Suppose 5*b - 13 = 2. Suppose -2*n + b*r + 72 = n, 2*r = -5*n + 106. What is the remainder when -65*(-1)/2*(-12)/(-6) is divided by n?
21
Suppose -5*j + 160 = 5*v, 0 = 4*v - 5*j + 3*j - 116. Suppose -4*k + 87 = -0*l + l, 2*k - 4*l - v = 0. What is the remainder when k is divided by 12?
9
Suppose 0*c + 36 = -3*c. Let q = c + 6. Calculate the remainder when 10 is divided by (14 + q)*2/4.
2
Let x be (-2)/5 - 136/(-40). Suppose x*s - 8 = 2*s - 2*j, 3*j + 30 = 2*s. What is the remainder when s is divided by 5?
2
Suppose -3*t - 59 = -4*l, -t = -3*t - 10. What is the remainder when 21 is divided by l?
10
Let h(w) = w**2 - 13*w + 11. Let q(p) = -13*p**3 + 2*p**2 + p. What is the remainder when h(15) is divided by q(-1)?
13
Suppose -1276*f + 736 = -1253*f. Let i = 24 + -12. What is the remainder when f is divided by i?
8
Suppose 0 = 3*c + 2*c - 10. Let k = 9 + c. Suppose 4*s = -2*h + 164, 3*h + k = 2*s - 55. Calculate the remainder when 154 is divided by s.
37
Suppose -57 = -4*l - c, 2*c = 2*l + 5*c - 31. Calculate the remainder when l is divided by 8.
6
Let n(o) = -4*o + 1. Let z be n(-1). Suppose -a = -3*a - p + 115, 2*a + z*p = 135. Calculate the remainder when a is divided by 29.
26
Let p(q) = 2*q - 24. Let x be p(11). Let a(d) = 8*d**2 + d - 1. Let m = -106 + 162. What is the remainder when m is divided by a(x)?
27
Let p be 3 - 78 - (2 - 3). Let j = -8 - p. Calculate the remainder when j is divided by 23.
20
Suppose 0 = s - 3*h - 32 - 32, 0 = -3*h. What is the remainder when s is divided by 19?
7
Suppose 210*s = 218*s - 48. Calculate the remainder when 290 is divided by s.
2
Suppose -5*v - 29 + 120 = 2*p, 0 = -2*v + p + 31. What is the remainder when 112 is divided by v?
10
Let b(q) = 2*q**3 - 3*q**2 - q + 3. Let g be b(-2). Let c = g + 70. What is the remainder when c is divided by (-185)/(-15) + (-1)/3?
11
Let k(d) be the first derivative of d**3/3 - d**2/2 + 9*d + 6. Calculate the remainder when 43 is divided by k(0).
7
Suppose 3*n - 24 = 11*n. Let h = -2 - -5. What is the remainder when (n - 9/(-2))/((-9)/(-42)) is divided by h?
1
Let u = -52 + 80. Let w = -1 - -17. Calculate the remainder when u is divided by w.
12
Let f = -17 - -11. Let n = f - -17. Let v = -1000 + 1007. What is the remainder when n is divided by v?
4
Let c(x) = -x**2 + 14*x + 24. Let w = -81 + 167. What is the remainder when w is divided by c(14)?
14
Suppose n - 21 = -2*n. Suppose -5*b = -2*w + 45, 8*b - 46 = -2*w + 12*b. Calculate the remainder when w is divided by n.
4
Let o(q) be the third derivative of -q**6/120 - q**5/12 - q**4/4 - 11*q**3/6 + 36*q**2. What is the remainder when o(-5) is divided by 3?
1
Suppose 0 = -4*c + 3*i + 44, -2*i + 0 = -c + 16. Suppose 204 - 64 = 5*a. What is the remainder when a is divided by c?
4
Let l be 9/(-11) + (-8)/44. Calculate the remainder when (-334)/(-12) + l/(-6) is divided by (-1)/((-2)/(-5))*-6.
13
Let y be (-2 + (-20)/(-8))*2. Let f be ((y - -3) + -4)*-1. Calculate the remainder when 5 is divided by (9 + f)/((-6)/(-2)).
2
Suppose 49 = 3*x - 77. What is the remainder when 293 is divided by x?
41
Suppose 7*b = 238 - 126. What is the remainder when 60 is divided by b?
12
Suppose -10 = -0*k - 2*k. Suppose 0 = f - k*f - 116. Let o = -12 - f. Calculate the remainder when 31 is divided by o.
14
Suppose 5*l - s - 91 = 264, l - s - 71 = 0. Suppose -7*n - 7*n = -1795 + 1529. Calculate the remainder when l is divided by n.
14
Suppose -18*o + 100 = -14*o. Calculate the remainder when o is divided by 1 + -1 + (5 - -2).
4
Let o = 245 - 230. Let r(s) = s**3 + 6*s**2 - 6*s - 9. Calculate the remainder when r(-6) is divided by o.
12
Let p = 612 - 607. Let z(c) = 6*c**2 - 2*c - 1. Suppose -3*x - 19 = -4*i, -2*x = 4*i - 3 - 11. What is the remainder when z(x) is divided by p?
2
Suppose 39*k - 48*k + 936 = 0. Calculate the remainder when k is divided by 6.
2
Let u(r) = r + 10. Let g = -9 + 5. Let q = g + 12. Calculate the remainder when u(12) is divided by q.
6
Let n = 1548 - 1526. Calculate the remainder when 112 is divided by n.
2
Let o(a) = -3*a - 8. Let f(h) = h + 31. Let n be f(-14). Suppose 47 + n = 4*j. Calculate the remainder when j is divided by o(-6).
6
Let r = 64 - 62. Suppose -r*s - 3*s + 15 = 0. Calculate the remainder when 3 is divided by s.
0
Let a(o) = 98*o - 53. Calculate the remainder when a(5) is divided 