
Let n(w) = -2*w**2 - 5*w + 13. Calculate the remainder when 71 is divided by n(0).
6
Suppose -4*d = -5*d - 4*w + 182, -4*w - 190 = -d. Suppose -3*g = 3*g - d. What is the remainder when g is divided by 4?
3
Let k(z) = z**3 + 12*z**2 - 4*z - 40. Let q = 240 + -163. Calculate the remainder when k(-12) is divided by 132/q - (-2)/7.
0
Suppose 2*i = 3*i + s, -3*s - 21 = -4*i. Suppose 26 = i*h - 22. What is the remainder when h is divided by 9?
7
Suppose 4*y - 31 = 5*u, 3*y + 5*u = 2*u + 3. Suppose -y*p + 234 = 78. What is the remainder when p is divided by -1 + -1 + (-88)/(-4)?
19
Suppose 0 = -o - 101 + 118. What is the remainder when o is divided by 4?
1
Suppose 16 = y - 3*x, -x + 16 = -3*y + 8*y. What is the remainder when 110 is divided by y*(-196)/(-21) + 1/(-3)?
36
Let b(c) = 4*c - 31. Let p be b(7). Let q = p + 14. Calculate the remainder when -2 - (3 + -2 + -23) is divided by q.
9
Let w(m) = 2*m - 4*m + 4*m + 1 + m. Suppose -4*h + 6 = -5*x + 2*x, 21 = 3*x + 5*h. Calculate the remainder when 19 is divided by w(x).
5
Suppose 198 = 2*l + 4*l. Let c = 5 + l. Let s = c - 15. What is the remainder when s is divided by 6?
5
Let n = 77 - 18. Calculate the remainder when n is divided by (-2)/(1 + (-14)/12).
11
Suppose -t = -13 + 2. Let h = 122 + -35. Suppose -15 = 5*p, x + 2*x - h = -3*p. What is the remainder when x is divided by t?
10
Let s(o) be the third derivative of o**5/60 + o**4/4 - o**3/3 - 6*o**2. Let a be s(-7). Suppose -a*i = -24 + 14. Calculate the remainder when 2 is divided by i.
0
Suppose -13*f = 193 - 2676. Calculate the remainder when f is divided by 65.
61
Let l be 0 + 2/(-3) + (-30)/(-45). Suppose v - 6 - 2 = l. What is the remainder when 54 is divided by v?
6
Suppose -2*i - 13 = -49. Suppose -5*m = -4*g - 905, -5*g + g = 5*m - 865. Suppose -103 = -4*j + m. What is the remainder when j is divided by i?
16
Let l = 14 + -5. Suppose -4*u + 35 = -l. What is the remainder when 28 is divided by u?
6
Let j(b) be the third derivative of -b**4/24 + b**3 + 2*b**2. Let r = -371 - -403. What is the remainder when r is divided by j(-5)?
10
Suppose -8*i + 165 = -4*i + u, 5*i - u = 213. Let z = -14 + i. Suppose -5*b = a - z + 1, -2*b = 6. Calculate the remainder when a is divided by 15.
12
Let j(v) = v**2 - 1. Suppose -63*f + 8 = -61*f. Calculate the remainder when f is divided by j(2).
1
Suppose 2*n = 4*h + h - 14, h - 4 = n. Let v(l) = -l**3 - l**2 - 3*l - 2. Let g = -31 - -53. Calculate the remainder when g is divided by v(n).
6
Let i = 5 - -20. Let o(a) = -3 + 0*a + 11*a - 15*a + 0*a**3 - 3*a**2 - 2*a**3. Calculate the remainder when i is divided by o(-2).
7
Let u = 2 - -2. Suppose 0 = -4*o - 12, 114 = 5*d - 3*o - 0*o. What is the remainder when d is divided by u?
1
Suppose -5*z + 8*z = q + 61, 4*q = -z + 42. Let f(n) = -n. Let v be f(-2). Suppose 0*p + 16 = v*p. What is the remainder when z is divided by p?
6
Suppose 233 = 9*c - 181. Let a(o) = -o**3 + o**2 - o + 12. Calculate the remainder when c is divided by a(0).
10
Let f(r) = -r - 2. Let s be f(10). Suppose -4*p = 2*y - 14 - 32, 5*y - 5*p = 55. What is the remainder when ((-208)/s)/((-4)/(-6)) is divided by y?
11
Suppose -23*g = -13*g - 850. What is the remainder when g is divided by 46?
39
Suppose -6*n + n = -z - 23, -4*z = -3*n + 7. Let f(c) = c**2 - 4*c + 2. Calculate the remainder when f(5) is divided by z + -1 + (-28)/(-7).
2
Let s(d) be the first derivative of -d**4/4 + 6*d**3 - 17*d**2/2 + 12*d - 7. Calculate the remainder when s(17) is divided by 5.
2
Suppose -216 = -4*q - 48. Let a(k) = k**2 - 2*k - 25. Let z be a(0). Let n = q + z. What is the remainder when n is divided by 9?
8
Let a = -131 - -19. Let f = 125 + a. What is the remainder when 37 is divided by f?
11
Let x = 9 - 3. Let i(o) = 54*o + 1. Let z be i(x). Suppose s + 2*p = -0*s + 65, 5*s = -3*p + z. What is the remainder when s is divided by 17?
14
Let b(k) = -k**3 + 11*k**2 + 16*k + 7. Let s be b(12). Let x = 79 - s. Calculate the remainder when 46 is divided by x.
22
Suppose f = -y + 52, 4*y - 74 = -2*f + 24. Let o(p) = -p**3 - 5*p**2 - 2*p. Let s be o(-4). Calculate the remainder when f is divided by (6 + 1)*-9*s/36.
13
Let j = 1499 - 1351. Suppose -57 = -2*a - p, 2*a = 5*a + 4*p - 78. Calculate the remainder when j is divided by a.
28
Suppose -38*s - 18 = -35*s. Calculate the remainder when s - (-4 + 0) - -83 is divided by 14.
11
Suppose 0 = -24*s + 5511 + 2193. Calculate the remainder when s is divided by 6.
3
Suppose 3*r + 2*u + 0*u - 140 = 0, 5*u = -4*r + 196. What is the remainder when r is divided by 37?
7
Suppose h + 1 = 0, -h = u + 4*h - 62. Let q(t) = t**2 - t + 13. Calculate the remainder when u is divided by q(3).
10
Let d be 6*1/2 - (-4 - -7). Suppose 4*f - 16 = -d. What is the remainder when 17 is divided by f?
1
Suppose -3 = -3*j - 3*a, -2*j - j - 1 = 4*a. What is the remainder when 44 is divided by j?
4
Let a(z) = 75*z**2 + 7*z - 8. Let o(j) = -j**3 + 5*j**2 + j - 1. What is the remainder when a(1) is divided by o(4)?
17
Suppose 2*d - 3*d = -c - 47, c = -3*d + 145. Let y = -23 + d. Suppose -5*n + 0*n = -3*k + 32, 2*n - 4 = 0. Calculate the remainder when y is divided by k.
11
Let u(h) = h. Let k be u(3). Suppose 500*b + 39 = 513*b. Calculate the remainder when 10/k*6/4 is divided by b.
2
Suppose 0*u = 5*u + 2*h - 55, -2*h = -10. Suppose 88 = u*d - d. Suppose -3*z = -34 - 56. Calculate the remainder when z is divided by d.
8
Let t = -106 + 4. Let u = -48 - t. Let f(g) = 4*g - 1. Calculate the remainder when u is divided by f(5).
16
Suppose c + 3*c + 11 = -3*n, -2*c - 9 = 5*n. Calculate the remainder when 142 is divided by 3/(c*(-2)/24).
16
Suppose 61*g + 513 = 88*g. Calculate the remainder when 88 is divided by g.
12
Suppose -3*r + 2*t + 1748 = r, -2*r + 4*t + 886 = 0. Calculate the remainder when r is divided by 19.
17
Suppose 2*v - 29 = -2*w + 1, 5*w - 87 = v. Let f be (-1)/(-3) + (-82)/(-6). Let c = f + -5. What is the remainder when w is divided by c?
8
Let f(n) = 6*n - 4. Calculate the remainder when f(4) is divided by (-7)/(-5)*((-180)/12)/(-3).
6
Let x(c) = c**2 - 5*c - 4. Let p = 60 + -60. Calculate the remainder when 41 + 1 + p + -3 is divided by x(7).
9
Suppose 0 = 3*h - 20*f + 24*f - 749, -h + 255 = 4*f. Calculate the remainder when h is divided by 10.
7
Let r(t) = t + 3. Suppose 81 = 7*o - 52. Calculate the remainder when 151 is divided by r(o).
19
Let p(r) = -r**2 + 27*r - 3. Suppose 39 = 6*y - 75. Calculate the remainder when p(24) is divided by y.
12
Suppose 5 = b + 5*n, -n - 113 = -5*b - 4*n. Let m = -8 + 22. What is the remainder when b is divided by m?
11
Let n(u) = -8*u + 8. Let x(r) = -33*r + 33. Let h(m) = -18*n(m) + 4*x(m). What is the remainder when h(3) is divided by 5?
4
Let w(i) = -1 - 18*i + 0*i - 11*i. Let g be 3/(-2)*(342/(-27))/(-19). What is the remainder when w(g) is divided by 15?
13
Let m(v) = -12*v - 3. Let u(q) = 25*q + 7. Let g(n) = -5*m(n) - 2*u(n). Calculate the remainder when g(2) is divided by 6.
3
Let x(r) = 2*r**2 - r - 87. What is the remainder when x(8) is divided by 25?
8
Let p = 51 - 31. Let f = -19 - -26. Calculate the remainder when p is divided by f.
6
Calculate the remainder when 7/(-21) + 1838/6 is divided by 77.
75
Let m = 7 - 4. Suppose -61 - 8 = -m*z. What is the remainder when z is divided by -2 + 2 - -1*8?
7
What is the remainder when (-6 - (-117)/18)/(2/292) is divided by 21?
10
Let c be 3*(-4 + -1 + 4)/(-3). Calculate the remainder when 34 is divided by (-6 - -4)*(10/(-1) + c).
16
Let g be (-8)/(-5)*10/4. Suppose -5*r = -g*r - 4. Calculate the remainder when (-2124)/24*r/(-6) is divided by 15.
14
Let n(y) = 4*y + 416. Calculate the remainder when n(-32) is divided by 97.
94
Let k = 2 + 6. Let n = k + -5. What is the remainder when 0 + 5 + -5 + (-6 - -12) is divided by n?
0
Let j(n) = 9*n + 4. Let l be 200/48 - 2/12. Suppose l*h - 49 - 19 = 0. What is the remainder when j(5) is divided by h?
15
Suppose 14*q - 32 = 6*q. Suppose 0*l - 3*l = -39. Calculate the remainder when l is divided by q.
1
Let v(o) = -o**3 - 3*o**2 + 6*o + 10. Let u be v(-4). Suppose -u*m = 6*m - 272. Calculate the remainder when m is divided by 6.
4
Suppose -j - 220 = -5*j. Let c(i) = 4*i + 7. Calculate the remainder when j is divided by c(3).
17
Let g be ((-27)/(-36