 k = -19 - s. Calculate the remainder when 6 is divided by 0 + 5/((-10)/k).
2
Let d be (-8)/6*15/2. Let j(l) = 2*l**2 - 2*l. Calculate the remainder when 2/(-5) - 234/d is divided by j(3).
11
Let u = 22 - -6. Let g(l) = -l + 4. Calculate the remainder when u is divided by g(-11).
13
Let s = 8 + -3. Suppose -16 = -s*j + j. Let d(u) = u**3 - 12*u**2 - 14*u + 16. Calculate the remainder when j is divided by d(13).
1
Let z(u) = u**3 - 5*u**2 - 4*u - 6. What is the remainder when 10 is divided by z(6)?
4
Suppose -3*q + 97 = j, 99 = 2*j + 5*q - 93. What is the remainder when j is divided by 47?
44
Let p(c) = 4*c + 2. Suppose 2*r - 51 = w + 4*w, 0 = 4*r - w - 75. Calculate the remainder when p(8) is divided by r.
16
Let w = 82 + -43. What is the remainder when w is divided by 21?
18
Suppose 67 + 29 = 4*s. What is the remainder when 70 is divided by s?
22
Let v = 8 - -32. What is the remainder when 116 is divided by v?
36
Suppose 5*d + 2*j - 1297 = 0, -261 = 5*d - 6*d - 2*j. What is the remainder when d is divided by 26?
25
Let y(c) = c + 2. Calculate the remainder when 28 is divided by y(8).
8
Let o(n) = 2*n**2 - 10*n + 18. Calculate the remainder when 25 is divided by o(4).
5
Suppose 20 = 5*t + 5*n, 2*t + 5*n = 3*t - 22. Let w = 16 + -8. Calculate the remainder when 1/(-2) - (-156)/w is divided by t.
5
Suppose -o - 32 = 72. Let m = o - -180. Suppose -3*d + m = 22. Calculate the remainder when d is divided by 10.
8
Let z(r) = -r**3 - 10*r**2 + 5*r + 13. What is the remainder when z(-11) is divided by 27?
25
Suppose 2*a - 7 - 1 = 0. Suppose -w + v + 4 = -16, -a*w + v = -80. Let p = -7 + w. What is the remainder when 37 is divided by p?
11
Suppose 10*u = 7*u + 102. Calculate the remainder when 100 is divided by u.
32
Suppose -o = -4*p + 2*o + 63, -20 = 4*o. Calculate the remainder when 21 is divided by p.
9
Let n = 5 + -5. Suppose n = 2*a - 83 + 9. What is the remainder when a is divided by 10?
7
Suppose 0 = -9*m + 4*m + 35. Suppose -55 = -m*r + 2*r. Suppose -3*w - 3*o + 27 = -24, -5*w = 2*o - 94. What is the remainder when w is divided by r?
9
Let i be (0 + 1)/((-9)/54). Calculate the remainder when 2 - (-9)/i*-6 is divided by 6.
5
Suppose 9 - 1 = 4*h. Calculate the remainder when 7 is divided by h.
1
Suppose z - 6 = -z. Let g(p) = -z + p - 6 + p. Calculate the remainder when 26 is divided by g(9).
8
Let p(k) = k**3 + 7*k**2 - k + 9. What is the remainder when 253 is divided by p(-6)?
49
Suppose 4*m - 411 - 323 = -2*l, 4*l + 2*m = 1438. What is the remainder when l is divided by 40?
37
Suppose -u - u = 4*m - 48, 4*m = u - 6. Suppose a - 5*s - 28 = 0, 0 = -4*s + 6 - u. Calculate the remainder when 51 is divided by a.
12
Suppose -l + 94 = 2*r, -86 = -2*r - 3*l - 0*l. What is the remainder when r is divided by 13?
10
Suppose -36 = -4*w + 2*j, -7*j = -3*w - 2*j + 27. What is the remainder when 32 is divided by w?
5
Let x be 1/1*6*2. Suppose p + x = 3*p. What is the remainder when 46 is divided by 66/4 + (-3)/p?
14
Let u be (-1 - 2) + 40/5. Suppose -7 = u*q - 72. What is the remainder when 24 is divided by q?
11
Let x = 210 - 300. Calculate the remainder when 12 is divided by (6/4)/((-27)/x).
2
Suppose 0 = -3*s + d + 23, -5*d = 3*s - d - 43. Let p be (1 - 0)/((-2)/(-10)). Suppose -3*m - p = -4*m. Calculate the remainder when s is divided by m.
4
Suppose 5*x + 3 = 5*f - 2, 2*x - 10 = -4*f. Suppose 12 = 2*p + f*p. Suppose 0 = -4*o + o + 15. Calculate the remainder when o is divided by p.
2
Let o(t) = -4*t**2 - t. Let k be o(1). Let s = k - -7. Let h(c) = c**3 + 7*c**2 + 4*c - 8. What is the remainder when h(-6) is divided by s?
0
Let y be ((-6)/(-8))/(2/40). Let c = -6 + y. Calculate the remainder when (2 - 2) + -25*(-2 + 1) is divided by c.
7
Suppose -52 = -4*q + 2*z, z - 18 = q - 3*q. Calculate the remainder when ((-1)/1)/((-4)/120) is divided by q.
8
Let o(y) = 20*y**2 + 5*y + 3. What is the remainder when o(-2) is divided by 37?
36
Suppose -4*p - 1 + 17 = 0. What is the remainder when 4 is divided by p?
0
Suppose 0 = 2*m - 7 - 13. Let i = 37 - 19. Calculate the remainder when i is divided by m.
8
Let o = -24 + 37. What is the remainder when o is divided by 5?
3
Suppose 13*b - 41 - 544 = 0. Calculate the remainder when b is divided by 4.
1
Let u = -19 - -31. Let t = u + -23. Let s(p) = -p**2 - 12*p + 13. What is the remainder when s(t) is divided by 13?
11
Suppose 3*v - 162 = -4*g + 31, 0 = -v + 3. Let w be (-3)/(-6) + (-314)/4. Calculate the remainder when g is divided by 4/10 + w/(-5).
14
What is the remainder when (-2 + (-16)/(-20))/((-3)/20) is divided by 3?
2
Let h = -26 - -44. Let t = -5 + h. What is the remainder when t is divided by (0 - -1)*-1 + 8?
6
Let v(o) = -o**3 + 8*o**2 + 20*o - 4. Let p(x) = -x. Let j(s) = -5*p(s) - v(s). Calculate the remainder when j(10) is divided by 14.
12
Let n be (-2)/(2/1 + -1). Let v be 41 - -2 - (n + 1). Suppose 2*d - v = 4*i, -d + 5*i = -4*d + 110. What is the remainder when d is divided by 16?
14
Suppose -28 = 5*m - m. Calculate the remainder when (-4)/14 + (-261)/m is divided by 38/((-7)/(35/25) - -7).
18
Suppose -5*i = 197 + 8. Let t = 72 + i. Suppose -3*x - 2*g = -27, -4*x + 3*g + 42 + 11 = 0. Calculate the remainder when t is divided by x.
9
Let t = 1 + 2. Suppose t = p - 12. Calculate the remainder when 29 is divided by p.
14
Let k(j) = j**2 + 6*j + 5. Let s be k(-5). Suppose s = 5*y - 96 - 39. Calculate the remainder when y is divided by 7.
6
Let l = 106 + -29. Calculate the remainder when l is divided by 13.
12
Let p = -3 + 5. Suppose -4*u = 3*v + 8, u + p*u - 5 = -5*v. Suppose -v*y + 27 = 5*a, -4*a - 5*y + 3 = -24. What is the remainder when 5 is divided by a?
2
Let v(l) = -l - 12. Calculate the remainder when 18 + (-3 - (0 - 2)) is divided by v(-18).
5
Let n(t) be the third derivative of -t**5/60 - 3*t**4/8 + 11*t**3/6 + 10*t**2. What is the remainder when n(-9) is divided by 5?
1
Suppose 2*z - 8 = -2*z. Suppose -5*u - 6 = 2*v + 4, -z*v + 26 = -4*u. Calculate the remainder when 8 is divided by v.
3
Suppose -824 + 2800 = 8*h. Calculate the remainder when h is divided by 62.
61
Suppose 11 = 4*y - 5*c, -22 = -3*y + 4*c - 3*c. What is the remainder when y is divided by 4*(1 - -1)/2?
1
Suppose 5*w = -25, 3*t + w - 4 = -0. Suppose 3*r + 38 = t*j + j, -2*j + 2*r = -18. Suppose 12 = g - 30. Calculate the remainder when g is divided by j.
9
What is the remainder when 14 is divided by (2 + -1)/(4/20)?
4
Let l(h) = h - 1. Let v(p) = p**2 - 9*p + 3. Suppose -4*a - 3 = 9. Let r(c) = a*l(c) + v(c). What is the remainder when r(12) is divided by 3?
0
Let j be 1/2 - 49/(-2). Let r = -21 + j. Calculate the remainder when r is divided by 4.
0
Suppose l - 5*a = -l + 198, 198 = 2*l - 3*a. What is the remainder when l is divided by 50?
49
Suppose 0 = -f + 3 - 0. Suppose 8 = f*t + t. Suppose -39 + 7 = -t*x. What is the remainder when 31 is divided by x?
15
Let y(o) = -10*o + 8. What is the remainder when 83 is divided by y(-1)?
11
Let g(z) = 10*z + 1. Let x be g(8). Let u = x + -23. Suppose 75 = -0*y + 5*y. Calculate the remainder when u is divided by y.
13
Let c(a) = a**3 - 7*a**2 - 9*a + 8. Let n be c(8). Calculate the remainder when n + (-1 - -3 - -11) is divided by 5.
3
Let f(y) = -y + 12. Let t be f(12). Suppose -27 = -t*z - z. What is the remainder when z is divided by (-68)/(-5) + 2/5?
13
Suppose -2*u = -102 + 28. Calculate the remainder when u is divided by 10.
7
Let r(t) = t - 1. Let h be r(3). Suppose -h*f - 15 - 10 = -l, l = -5*f + 39. What is the remainder when l is divided by (8/(-3))/((-3)/9)?
5
Let q(n) = -66*n + 1. Let b be q(1). Let r = 11 - b. Suppose 3*l - r = -10. Calculate the remainder when l is divided by 12.
10
Calculate the remainder when 49 is divided by 1/(40/13 + -3).
10
Let n(o) = -28*o - 4. Let y be n(-7). Let f = 79 - y. Let w = -76 - f. What is the remainder when w is divided by 13?
11
Let z(j) = j**2 - j + 13. Suppose -f + 4*t = -10 - 12, -168 = -4*f - 4*t. Calculate the remainder when f is divided by z(0).
12
Suppose 0 = -s + 13 - 5. What is the remainder when s is divided by 5?
3
Let s(m) = -m. Let g be s(-4). Suppose -7 = -d + g. What is the remainder when 41 is divided by d?
8
Let b(q) = -q - 5. What is the remainder when 13 is divided by b(-13)?
5
Let p = -145 - -210. What is the re