Let p(i) = -i - 3. Let y be p(-4). What is the remainder when (-3 - 1)*(-9 + -1) is divided by (2 - y) + (-160)/(-8)?
19
Let u(c) = 12*c**3. Let r be (-6)/2 - 0 - -4. What is the remainder when u(r) is divided by 7?
5
Suppose 0*o - 2*o = -16. Suppose -3*x + 0*b = b - 69, 5*x - 4*b - 98 = 0. What is the remainder when x is divided by o?
6
Let x(c) = c - 3. Let t be x(6). Suppose 0 = -5*k + 80 + 140. What is the remainder when k is divided by -3 + -3 + t + 18?
14
Let f(j) = -6*j - 4. Suppose 0 = -5*c + 3*u + 40, 2*c + 4*u = c + 31. What is the remainder when f(-6) is divided by c?
10
Suppose 70 = 4*g + 6. Suppose -4*o = 3*u - g, 0 = 3*u - 5*o + 2 + 18. Let z(j) = -j**2 + 10. What is the remainder when 19 is divided by z(u)?
9
Let s(o) be the first derivative of 3*o**4/2 - 2*o**3/3 - o**2/2 - 7. Let f = -42 + 62. Calculate the remainder when s(2) is divided by f.
18
Let r(c) = -c**3 + 2*c**2 + 3*c - 3. Let n be r(2). Let s(u) = 2*u**3 - 3*u**2 - u + 3. What is the remainder when s(n) is divided by ((-147)/28)/((9/24)/(-1))?
13
Let f(n) = 2*n - 2. Let k be f(3). Suppose k*z - 77 = 6*q - q, 2*q = 4*z - 62. Calculate the remainder when 49 is divided by z.
10
Let k(g) = g**3 + g**2 - 6*g + 6. Calculate the remainder when k(3) is divided by 14.
10
Suppose 5*x - 27 = -2*c, -2*x - 2*x + c = -32. Calculate the remainder when x is divided by 5.
2
Let j = -22 + 24. Let v = -2 - -5. Suppose -k = j*i - v*k - 24, -8 = -4*k. Calculate the remainder when 27 is divided by i.
13
Let q(i) = 5*i**2 - 4*i - 1. Let b(r) = r**2 + r - 3. Let s be (-28)/8 - (-2)/4. Let w be b(s). Calculate the remainder when q(w) is divided by 11.
10
Suppose -5*k + 10*k = 4*p + 75, -3*k + 5*p + 45 = 0. Calculate the remainder when k is divided by 8.
7
Suppose 0 = -2*g - d + 52, 2*g - 5*g = 4*d - 68. Calculate the remainder when 223 is divided by g.
27
Let q(z) = 5*z**2 + 4*z - 2. What is the remainder when q(1) is divided by 5?
2
Let g = 5 - 2. Suppose 1 = -g*o + 4. What is the remainder when 1 is divided by o?
0
Let i(v) = v**2 + 5*v - 8. Calculate the remainder when 16 is divided by i(-7).
4
Suppose -f = -2*f. Suppose 3*i - 15 = f, -4*v + 3*i - 7 - 8 = 0. Calculate the remainder when 0 + v + (35 - -2) is divided by 19.
18
Let r(b) = b**3 + 7*b**2 - 10*b - 4. Let c be r(-8). Suppose 8*f + 124 = c*f. What is the remainder when f is divided by 17?
14
Let n(u) = u**2 - 4*u + 7. Let i(f) = f**3 - 4*f**2 + 2*f - 4. Calculate the remainder when n(4) is divided by i(4).
3
Suppose -4*u + 698 = -3*c, -5*u + 863 = -0*c + c. Let j = -111 + u. Calculate the remainder when j is divided by 21.
20
Let w(z) = -z**2 - 3*z - 2. Let n be w(-2). Let s = 6 - n. What is the remainder when 23 is divided by s?
5
Let q = 4 - 3. Suppose 2 = d - 0, 3*d = 3*z - 33. What is the remainder when -74*(q + 6/(-4)) is divided by z?
11
Suppose -s = 3*s. Let p(d) = d**2 - d + 13. Suppose -4*y + 68 = -84. Calculate the remainder when y is divided by p(s).
12
Calculate the remainder when 76 + 3 + (-9 - -5) is divided by 10.
5
Suppose -5*f - 4*s - 79 = 0, 3*s - 4*s = 5*f + 76. Let h = f - -18. What is the remainder when h is divided by 3?
0
Let c(m) = m**2 - 18*m + 23. Calculate the remainder when (-24)/(-15)*275/10 is divided by c(18).
21
Let q(x) be the third derivative of 13*x**4/24 - x**3/3 + 3*x**2. What is the remainder when q(6) is divided by 26?
24
Let v(b) = 25*b - 4. Suppose 0*c - 90 = -5*c. What is the remainder when v(3) is divided by c?
17
Let i = -1 + 3. Suppose 3*j - i = 1. Let s = -2 + 4. Calculate the remainder when s is divided by j.
0
Suppose 2*f - 91 = -3*f - 4*s, 5*f + 2*s = 93. Let a(d) = 8*d**3 - 2*d**2 - 1. What is the remainder when a(2) is divided by f?
17
Let m = 6 + 9. What is the remainder when 43 is divided by m?
13
Let c(k) = k**3 + 9*k**2 + 7*k + 16. Calculate the remainder when c(-7) is divided by 22.
21
Suppose -7*l + 184 - 16 = 0. Calculate the remainder when l is divided by 5.
4
Suppose 0 = -2*j - 0*j. Suppose -g + 4 + 2 = j. Let r(n) = 4*n + 4. Calculate the remainder when r(g) is divided by 15.
13
What is the remainder when ((-4)/(-6))/(3 - 1155/387) is divided by 11?
10
Let m(p) = -p**3 + 7*p**2 - 7*p + 9. Let x be m(6). Let i be x + 0 - 0/3. Suppose 2*g + i*g = 15. Calculate the remainder when 7 is divided by g.
1
Let j = -39 + 180. What is the remainder when j is divided by 36?
33
Let n(m) = m**3 - m**2 + 27. What is the remainder when n(0) is divided by 15?
12
Suppose 3*b = 8*b - y - 10, 5*b + 2*y + 5 = 0. Let g(l) = 47*l**2. Let x = 86 + -70. Calculate the remainder when g(b) is divided by x.
15
Let k(y) = -y**3 + 5*y**2 + 4*y. Let u be k(4). Let q be u/3 + (-1)/(-3). Let v = q - 3. Calculate the remainder when 14 is divided by v.
6
Let q(s) = 2*s**2 - 6*s - 5. Let g be q(8). Let o = g - 38. Calculate the remainder when o is divided by 13.
11
Let r(k) = -k**3 + 4*k**2 - 4*k + 3. Let n be r(2). Suppose 6*b + 5*m = b + 60, 3*b - 36 = n*m. Calculate the remainder when 34 is divided by b.
10
Suppose 0 = q + 3*o - 11, o + o + 114 = 4*q. What is the remainder when 128 is divided by q?
24
What is the remainder when ((-126)/147)/((-1)/14) is divided by (-1)/(2/10*-1)?
2
Suppose o - 24 = -o. Suppose 5*b - 5*k - o + 77 = 0, -k + 39 = -3*b. Let x = b - -25. Calculate the remainder when 23 is divided by x.
11
Let z(q) = q**2 + 4*q + 7. Let u be z(6). Let c = u + -29. What is the remainder when c is divided by 13?
12
Suppose -10 = -3*m - 1. Suppose 4*i - 21 = -5*j + 24, -5*i + 10 = -m*j. Suppose i*c = -0*c + 105. What is the remainder when 41 is divided by c?
20
Let x = -15 + 1. Let l = x + 20. Let k(h) = 6*h - 2. What is the remainder when l is divided by k(1)?
2
Suppose 4*v - 118 = -5*h - 0*v, 0 = -5*h + 3*v + 104. Calculate the remainder when 130 is divided by h.
20
Let t = 3 - -9. Suppose 9*l - 12*l + 4*h + 43 = 0, 3*l = 2*h + 53. Calculate the remainder when l is divided by t.
9
What is the remainder when ((-36)/21)/(3/(-14)) is divided by 6?
2
Let o = -178 - -307. What is the remainder when o is divided by 26?
25
Suppose -4*m + 4*t + 6 = -10, 3*t = -2*m - 2. Suppose 6*q - 36 = m*q. What is the remainder when 25 is divided by q?
7
Calculate the remainder when ((-6)/(-8))/((-3)/(-180)) is divided by 12.
9
Suppose -n - 3 = -8. Suppose 3*c - n = 2*c. What is the remainder when -31*(1 - (c + -3)) is divided by 11?
9
Suppose -3 + 6 = n. Suppose -35 = -n*t - 2*t. Calculate the remainder when 13 is divided by t.
6
Suppose 179 = q + 4*q + 4*l, -2*l = -4*q + 138. Calculate the remainder when q is divided by 12.
11
Suppose -5*v + 3*v + 32 = 0. Let h(s) = 5*s - 1. What is the remainder when h(6) is divided by v?
13
Let o = -52 - -134. Calculate the remainder when o is divided by 43.
39
Let d(j) = -j**2 + 3. Let a be d(0). Suppose -g - a = -9. Suppose 0*t = t - g. What is the remainder when t is divided by 4?
2
Let p(x) = -x**2 + 8*x - 3. Let w be p(8). What is the remainder when 63 is divided by -1 + 28*w/(-6)?
11
Let t(v) = v**2 + 7*v - 8. Let j be t(-8). Suppose 5*h - 22 - 13 = j. Calculate the remainder when 25 is divided by h.
4
Suppose -g - 12 = 4*h, -3*h - 4 = -g + 3*g. Suppose -d + 50 = g*d. What is the remainder when 27 is divided by d?
7
Suppose -7*l + 3*l = -132. Suppose 0 = -p - 2*p + l. What is the remainder when 21 is divided by p?
10
What is the remainder when 20 is divided by 1*5 - 30/(-5)?
9
Let j = 173 + -100. Calculate the remainder when j is divided by 15.
13
Suppose 5*f - 17 = -3*m + 188, -185 = -3*m - f. Let o = 85 - m. Calculate the remainder when o is divided by 7.
4
Let j be 5 + ((-6)/3 - -3). Suppose 21 = c + 3*u + j, -4*c + 4*u = -12. Suppose -3*b - 34 = -5*b. What is the remainder when b is divided by c?
5
Let f = 13 + -7. Suppose 0 = -k + 4*s + 3, 32 = -k + f*k - 3*s. Let a = 8 - 4. Calculate the remainder when k is divided by a.
3
Let x be 12/(-15)*(-15)/6. Let i = x - -4. Let g(r) = -r**3 + 6*r**2 + 10*r - 4. Calculate the remainder when g(7) is divided by i.
5
Suppose 4*d - 3*y = 58, -6*d + d + y = -67. Let z(u) = -u**2 - 5*u + 2. Let s be z(-5). What is the remainder when d is divided by (s/6)/((-1)/(-21))?
6
Let z(d) = 2*d + 12. What is the remainder when 5 - 5/((-10)/4) is divided by z(-4)?
3
Calculate the remainder when 58 is divided by -15*(-5)/((-25)/(-5)).
13