ppose -b*y - 3*s + 13 = -0*y, -7 = y + 3*s. Suppose -67 = -y*f + 43. Calculate the remainder when f is divided by 6.
4
Let l(q) be the second derivative of 2*q**3/3 - q. Let u = -8 - -31. Calculate the remainder when u is divided by l(3).
11
Let w = -212 + 305. Calculate the remainder when w is divided by 32.
29
Let p be (-2)/(-8) - (-3)/(-12). Suppose x - j - 52 = p, -4*x + j + 105 = -2*x. Calculate the remainder when x is divided by ((-18)/5)/(5/(-25)).
17
Let v(m) = m**3 + 12*m**2 - 14*m - 7. Suppose -6*r + 3*r + 5*o = -52, 4*r + o = 54. Let d = r + 1. Calculate the remainder when d is divided by v(-13).
3
Suppose 4*o + 4*w - 40 - 8 = 0, -w = -o + 4. Let l = o - 4. What is the remainder when 13 is divided by l?
1
Let w = 80 - 44. Suppose 0 = 3*i - w + 3. What is the remainder when 20 is divided by i?
9
Suppose -h + 4*h = 114. What is the remainder when 74 is divided by h?
36
Let t be (-32)/(-6)*(-6)/4. Let u = t - -14. What is the remainder when 15 is divided by u?
3
Let s(z) = -4*z - 4. What is the remainder when s(-5) is divided by 10?
6
Suppose -616 = -r - 7*r. What is the remainder when r is divided by 20?
17
Let n(g) = -g + 22. Suppose 7 = -2*d + 25. Calculate the remainder when n(d) is divided by 7.
6
Let p = -49 - -101. Calculate the remainder when p is divided by 11.
8
Let d(s) = -3*s**2 - 1. Let w be d(-1). Calculate the remainder when (78/(-4))/(2/w) is divided by 10.
9
Let t = -92 + 62. What is the remainder when 31 is divided by 20/t*(-24 - 0)?
15
Let l(d) be the first derivative of -d**4/4 + d**3/3 + d**2/2 - 4*d - 3. Calculate the remainder when l(-3) is divided by 16.
13
Calculate the remainder when 27 is divided by 9/27 + -2 + 40/6.
2
Suppose -2*b = b - 297. What is the remainder when b is divided by 25?
24
Let a(l) = -l**2 + l + 14. Calculate the remainder when a(0) is divided by 6.
2
Let c(b) = b. Let w(k) = -7*k + 2. Let u(v) = -6*c(v) - w(v). Let n be u(0). Let m(g) = -7*g - 2. What is the remainder when 23 is divided by m(n)?
11
Let v(n) = -n**2 + 2*n - 2. Let i be v(-4). Let p = i - -36. Calculate the remainder when p is divided by 4.
2
Suppose 0 = -2*y + k + 46 - 12, 0 = 4*y + k - 62. Calculate the remainder when y + ((-3)/3)/1 is divided by 4.
3
Suppose u + m = -2, -2*u = -u - 3*m - 14. Let z(t) = -3*t + 1. Let o be z(1). Calculate the remainder when 13 is divided by 7 - o - 1*u.
6
Let c = -205 + 217. Calculate the remainder when 78 is divided by c.
6
Let u = -4 + 1. Let s = u + 11. Calculate the remainder when 15 is divided by s.
7
Let n = -2 + 4. Let z = -11 + 16. Calculate the remainder when (n + -24)/(-2) - -3 is divided by z.
4
Let f(a) = a**2 - 2*a + 1. Let l be f(3). Suppose 2*y + 34 = l*x, -2*x - 4*y + 13 = -y. Let t = -4 - -7. What is the remainder when x is divided by t?
2
Suppose 6*s + 2 = 8*s. What is the remainder when s - (-9 + 4/4) is divided by 3?
0
Let s(n) = n**3 + 7*n**2 - 8*n + 5. Let z be s(-8). Suppose -5 = -z*q, 5*q = -5*b + 48 - 18. Calculate the remainder when (-1)/(1/14*-1) is divided by b.
4
Let o(g) = -g**3 + 6*g**2 + 2*g + 4. Let p be o(6). Suppose 5*y - 7*y = -p. Let b(n) = -7*n - 5. Calculate the remainder when b(-5) is divided by y.
6
Let d(n) = -6*n + 3. Calculate the remainder when d(0) is divided by 1.
0
Suppose 21 + 113 = 5*g + k, 2*g - 72 = -5*k. What is the remainder when g is divided by 7?
5
Let p(o) = o + 1. Let h be p(2). Suppose 0 = -h*u - 5*c, 3*u + 3*c + 1 - 7 = 0. Let j = -3 + u. What is the remainder when 2 is divided by j?
0
Let u = -6 - -10. Let z(x) = 3*x + 1. What is the remainder when 50/(-5)*24/(-10) is divided by z(u)?
11
Suppose 0 = 5*l - 6 + 1. Let g(a) = 18*a - 1. Let s = 94 + -45. Calculate the remainder when s is divided by g(l).
15
Suppose -5*q = -46 - 44. Calculate the remainder when (-218)/(-6) - q/(-27) is divided by 10.
7
Suppose -4*k = -2*i - 50 - 48, 2*k = -4*i + 64. What is the remainder when k is divided by 9?
8
Let o(i) be the second derivative of 13*i**4/12 + i**3/3 + i**2 - 8*i. Calculate the remainder when 24 is divided by o(-1).
11
Let a(o) = 16*o**3 - o**2. Calculate the remainder when 58 is divided by a(1).
13
Let x be 1/4 - (-417)/12. Suppose i = -i + 3*g + x, 4*g - 53 = -5*i. Calculate the remainder when i is divided by 5.
3
Suppose -82 = -6*w + 2. What is the remainder when w is divided by 11?
3
Let n(h) = -h**2 + 2*h + 1. Let t be n(2). Let u(m) = 13*m**3 + m**2 + m - 1. Calculate the remainder when 26 is divided by u(t).
12
Let b(z) = -z**3 + 3*z**2 + 4*z + 2. Let r be b(4). What is the remainder when 44 is divided by -1 - 1/(r/(-32))?
14
Suppose 2*w - 2*z = 26 + 2, -12 = -w + 2*z. What is the remainder when w is divided by (-1 - 1) + 33/3?
7
Let f be -1 - (-8 - 4/(-2)). Suppose 0 = -2*i + 4, -3*z + 3*i + 7 = f*i. What is the remainder when (z - 0)/((-5)/(-120)) is divided by 13?
11
Let q = -25 + 37. Suppose 0*b + 2*b = 44. Calculate the remainder when b is divided by q.
10
Let u be 2 - (0 - (2 + 1)). Calculate the remainder when u/((-5)/(-54)) + -1 is divided by 18.
17
Suppose 2*d + 0*d - 4 = 0. Calculate the remainder when 29 + (1 + d)*-1 is divided by 14.
12
Let i = -48 - -76. Suppose -4*p + 59 = 5*o, 0*p = -o + 3*p + 27. What is the remainder when i is divided by o?
13
Calculate the remainder when 264/9 - (-1)/(-3) is divided by 10.
9
Suppose 15 + 1 = 4*t. Calculate the remainder when 170/t + 8/16 is divided by 11.
10
Let h(y) = 17*y - 5. Suppose 4*n = 2*w + 16, -3*w - 10 = -n - 1. What is the remainder when h(n) is divided by 24?
22
Let s be (48/15)/(-4)*-125. Let k = -63 + s. What is the remainder when k is divided by 13?
11
Let k be 1*(-1)/(-2)*-34. Suppose -4*o - 5 = -3*w + 65, -4*w = -4*o - 100. Let f = k + w. Calculate the remainder when 24 is divided by f.
11
Suppose -5*l + 101 = -4*b, 3*l - 2*b = -0*l + 59. Suppose -5*r = 4*p - 9, 0*r - 3*r + 27 = -3*p. Calculate the remainder when l is divided by r.
2
Let i = 2 + 7. Suppose w - i = -0*w. Suppose 2 + 32 = 2*j. What is the remainder when j is divided by w?
8
Let q be (7 - 2)*-6*-2. Let f(z) = 22*z - 2. Let p be f(4). Let w = p - q. What is the remainder when w is divided by 14?
12
Suppose 5*n = -5*f + 20, -3*n + 18 = 5*f + 6. Suppose -25 = n*o - 145. What is the remainder when o is divided by 1/(0 + -1) - -12?
8
Let f(y) be the second derivative of 2*y**2 - 1/12*y**4 + 0 + 3*y + 0*y**3. Calculate the remainder when 11 is divided by f(0).
3
Suppose -71 = g - 2*g. Let z = -51 + g. Let t = 12 + 47. Calculate the remainder when t is divided by z.
19
Suppose -109 = -3*m + 140. Calculate the remainder when m is divided by 18.
11
Let g be 32*(-3)/3 + -2. Let p = g - -69. What is the remainder when p is divided by 12?
11
Let w(o) = 2*o**2 - 7*o + 2. Let t = 13 - 8. Calculate the remainder when w(t) is divided by 6.
5
Let d = -1 - -13. What is the remainder when 3 + (1 - 0) + -2 is divided by 8/d - 2/(-6)?
0
Let k(f) = 51*f**2 - 3*f + 4. Let p be k(2). Suppose 0 = -4*i - 3*x + p, -5*i = 5*x - 72 - 178. Calculate the remainder when i is divided by 11.
8
Suppose 3*d - 18 + 6 = 3*r, -9 = -4*d - 3*r. Calculate the remainder when d is divided by 3.
0
Suppose 0 = -2*x - 3*x - 3*z + 165, 5*x - 165 = 3*z. Suppose -31*l + 33*l - 36 = 0. What is the remainder when x is divided by l?
15
Calculate the remainder when (-2)/(0 - 2/7) is divided by ((-19)/76)/((-2)/24).
1
Let x(f) = f + 9. Let d be x(-8). Let o = d - -1. Suppose -16 + o = -h. What is the remainder when 40 is divided by h?
12
Suppose -3*f - q = 2*f - 18, -2*f - 5*q + 21 = 0. Calculate the remainder when 7 is divided by f.
1
Let a(h) = h**3 - 7*h**2 + 3*h + 6. Let i be a(6). What is the remainder when 23 is divided by (-12)/1*i/18?
7
Suppose 2*r - 84 - 194 = 0. Suppose 5*l + 5*m - 6 = r, l - m - 21 = 0. What is the remainder when l is divided by 7?
4
Let c = 66 + -25. Calculate the remainder when 79 is divided by c.
38
Suppose 0 = 4*v - 2*v - 8. Suppose -4*c - 2*s = -76 + 28, v*s + 36 = 4*c. Calculate the remainder when 32 is divided by c.
10
Suppose -20 = 5*k, 13 = q - 2*k + 1. Suppose -4*j - 4*x = -56, 4 + 60 = 4*j - q*x. What is the remainder when 57 is divided by j?
12
Let b = 27 - -50. Calculate the remainder when b is divided by 16.
13
Let o(v) = -v + 12 + 2 + 2 - 7. Calculate the remainder when o(5) is divided by 1.
0
Let a be