3*f = 5*f - 80. What is the remainder when 17 is divided by f?
7
Let y(l) = -l**2 - 13*l + 11. Suppose 0*v - 1 = -v. Let m be (v - 4)/3 + -11. What is the remainder when y(m) is divided by 13?
10
Let o(t) = t**2 + 2*t - 12. Let a be o(-5). Let v(p) = 15*p + 6. What is the remainder when v(a) is divided by 11?
7
Suppose 108 = -m + 5*m. What is the remainder when ((-42)/4)/(12/(-120)) is divided by m?
24
Suppose -9*d + 8*d + 29 = 0. What is the remainder when 114 is divided by d?
27
Let i(l) = -11*l - 8. Let w(m) = 23*m + 17. Let s(y) = 13*i(y) + 6*w(y). What is the remainder when (-9)/(4 - (-42)/(-10)) is divided by s(-5)?
22
Let h(a) = -a - 2 - a - 1 - 4. Calculate the remainder when 5 is divided by h(-5).
2
Suppose 2*m = 4 + 6. Suppose m*j - 17 = 18. Calculate the remainder when (-1 + 5)/(4/18) is divided by j.
4
Let a(r) = r - 4*r**2 - 2*r**3 + 4 + r**2 - 2. What is the remainder when 14 is divided by a(-2)?
2
Suppose -27 = -0*t - 5*t - 2*u, -u = -4*t + 19. Let m = 19 + -27. Let k(i) = -2*i - 2. Calculate the remainder when k(m) is divided by t.
4
Suppose -z = 3*z - a - 118, -z + 5*a + 39 = 0. Let g = -16 + z. Calculate the remainder when 51 is divided by g.
12
Suppose -3*f - 30 = -8*f. Suppose -5*d + f*d - 29 = 0. Calculate the remainder when d is divided by 10.
9
Suppose -45 = 2*w + w. Let v = 32 + w. What is the remainder when v is divided by 5?
2
Suppose 0*q - 53 = -p - 2*q, 0 = 2*p + 3*q - 102. Calculate the remainder when p is divided by 17.
11
Suppose 0 = -2*t + 4*k + 16, 39 = t + 3*t - k. Let a = -4 + t. Let s(y) = y**3 - 5*y**2 - 4*y - 6. What is the remainder when 16 is divided by s(a)?
4
Suppose w = -0*w + 13. Calculate the remainder when 51 is divided by w.
12
Suppose -6*n - 19 = -5*o - 2*n, -2*n + 4 = 2*o. Let w = o - 0. Suppose 3 = -2*u + w*d + 14, 3 = u + d. Calculate the remainder when 15 is divided by u.
3
Suppose 3*v = 60 - 3. Suppose 0*l = l - 5. Suppose l*i - 19 = 31. What is the remainder when v is divided by i?
9
Let a(f) = -17*f - 7. Suppose 119*m - 32 = 117*m. What is the remainder when a(-5) is divided by m?
14
Suppose -3*a + 6*v = 4*v - 131, -5*a = 4*v - 255. What is the remainder when a is divided by 24?
23
Suppose 3*u + 2*f = -3 - 1, -4*u + f + 2 = 0. Suppose u = -5*x + 21 - 1. Let s = -18 - -32. What is the remainder when s is divided by x?
2
Let q = 41 - 26. What is the remainder when 41 is divided by q?
11
Let l(f) = -f - 4. Let u be l(5). Let p = 23 + u. What is the remainder when (-2 + -4 - -2)*-10 is divided by p?
12
Suppose c = 5*c - 136. What is the remainder when c is divided by 7?
6
Suppose -2 = -2*i, 6*i = -3*u + i + 209. Suppose -77 = -4*p + 5*f, -5*p + 49 = -f - 63. What is the remainder when u is divided by p?
22
Let q(a) be the second derivative of a**5/20 + a**4 + 7*a**3/6 + a**2 - a. Let w(s) = 3*s**2 + 2*s. Calculate the remainder when q(-11) is divided by w(2).
14
Suppose -2*j + 4 = -4*k, -5*k - 4*j = 31 - 0. Let d be (-23)/((-2)/(12/k)). Calculate the remainder when 41 is divided by d/(-2) + -2 + 0.
20
Let y = -30 + 51. Suppose h - 4*r + 0*r + y = 0, 2*r = -2*h + 8. Let a(o) = -18*o + 1. Calculate the remainder when a(h) is divided by 10.
9
Suppose -a + 8 + 12 = 0. What is the remainder when 38 is divided by a?
18
Let r(b) = b**2 - 7*b + 8. Calculate the remainder when 63 is divided by r(8).
15
Suppose 0 = 3*b + r + 3*r - 213, -2*r = 5*b - 355. Let c(z) = -3*z. What is the remainder when b is divided by c(-6)?
17
Let o be (2 - 4) + 2 + 0. Suppose 3*m + 4*y = 6, o = 3*m - 5*y - 0*y - 6. What is the remainder when m is divided by 2?
0
Let u be 0 + 3 + 2 + -4. What is the remainder when 78 is divided by 27 + 0 + -1 + u?
24
Let x(q) be the second derivative of 2*q**3/3 - 15*q**2/2 + 4*q. Let z(t) = 8*t - 1. What is the remainder when x(7) is divided by z(1)?
6
Suppose u - 2*w - 194 = 0, -3*w = -u + 24 + 175. Suppose -4*d + u = 36. What is the remainder when d is divided by (-2)/3 + 123/9?
11
Let c(d) = d + 10. Let m be c(-7). Suppose m*t = -0*t + 6. What is the remainder when 0/1 + 6/2 is divided by t?
1
Let w = 47 + -32. Suppose 2*t + 8 = -2*o + 4*o, 0 = 3*o + 5*t - 28. What is the remainder when o/(-5)*(-140)/6 is divided by w?
13
Let d = -7 + 10. Suppose -2 - 2 = -h. Calculate the remainder when h is divided by d.
1
Let o = 102 + -62. Suppose -3 = -2*s - 5. What is the remainder when o is divided by (s + 3)*42/4?
19
Let g(x) = -2*x**2 - x + 5. Let r(w) = 5 - 1 + 21*w**2 - 22*w**2. Let b(y) = -2*g(y) + 3*r(y). Calculate the remainder when 27 is divided by b(-4).
7
Let w(b) = 2*b - 9. Let c be w(7). Suppose 0 = 2*j - r + c*r + 2, 0 = 2*j + 2*r - 2. Calculate the remainder when (-4)/(-10) + 132/20 is divided by j.
1
Suppose 4*q - 80 = -q. What is the remainder when q is divided by 12?
4
Suppose 9*z = 5*z - 36. Calculate the remainder when 5/(-4 - (4 + z)) is divided by 4.
1
Suppose 2*o - 15 = 1. Calculate the remainder when (14/5 - 0)*5 is divided by o.
6
Suppose -2*o - o = 12. Let u = -2 - o. What is the remainder when 3 is divided by u?
1
Let d = -8 - -20. What is the remainder when 266/8 + 9/d is divided by 18?
16
Suppose -4*v - 23 = 41. Let b = v + 37. Calculate the remainder when 62 is divided by b.
20
Suppose -5*k + 5 = -0*k - 5*u, 0 = -3*k - 3*u - 3. Suppose -3*h + 144 - 6 = k. What is the remainder when h is divided by 12?
10
Let b(h) = -h**2 + 33. Let x be b(0). Suppose 2*o = -o + x. Suppose -2*r = 3*c - 40, -4*c + 58 = 4*r - 22. What is the remainder when r is divided by o?
9
Let q = -50 + -70. What is the remainder when (2 + 2 + q)/(-2) is divided by 15?
13
Let v(h) = -h - 8. Let g be v(-7). Calculate the remainder when 27 is divided by 0 + g - (-16 - 0).
12
Suppose -3*f + 4*z + 52 = 0, 3*z + 36 = 2*f + z. What is the remainder when f is divided by (2/(-6))/((-2)/42)?
6
Let q(h) = h**3 - 7*h**2 + 8. Let z be q(7). Let u = 13 - z. Suppose -u*p = -p - 116. What is the remainder when p is divided by 10?
9
Suppose -6*y = -9*y + 204. Calculate the remainder when y is divided by 35.
33
Let h = 181 - 85. What is the remainder when h is divided by 14?
12
Suppose -3*s - 5*g = -127, 18 = 4*s + 2*g - 128. What is the remainder when 134 is divided by s?
32
Suppose -273 = -3*r - 9. Calculate the remainder when r is divided by 30.
28
Suppose 4*v - 71 - 41 = 0. What is the remainder when 82 is divided by v?
26
Suppose -3*m - 2*s + 16 = 0, 0*m - 4*s + 28 = 4*m. Let o = 8 + -5. Let f(z) = -z**3 + 2*z**2 + 3*z + 3. What is the remainder when f(o) is divided by m?
1
Suppose 4*w - 241 - 315 = 0. Suppose 0 = -2*l + 3*l - 35. Calculate the remainder when w is divided by l.
34
Suppose -5*p + 387 = 4*m, -60 = 3*p - 4*p + 5*m. What is the remainder when p is divided by 19?
18
Suppose 7*k + o = 3*k - 16, 4*k + 4*o + 4 = 0. What is the remainder when (6/k)/(3/(-50)) is divided by 11?
9
Let h(j) = j**3 - 7*j**2 + 5*j. Let n be h(4). Let m = 47 + n. Calculate the remainder when 36 is divided by m.
17
What is the remainder when 40 is divided by 3/4 - (1 - 45/4)?
7
Suppose -4*k + 28 = -2*k. Let d(m) = -m**3 - 7*m**2 - 6*m - 3. Let b be d(-6). Calculate the remainder when k is divided by ((-2)/4)/(b/48).
6
Suppose 6*z - 7*z = -21. Suppose -3*j + 25 + 15 = 2*d, 2 = d. What is the remainder when z is divided by j?
9
Let k(a) = -3*a - 9. Let u = -36 + 39. Calculate the remainder when k(-6) is divided by u.
0
Let l = -15 - -39. Calculate the remainder when l is divided by 7.
3
Suppose 0 = -t + 4*t - 72. Let c be (t/9 - 2)*-6. What is the remainder when 31 is divided by (-22)/(-3)*(-6)/c?
9
Let x(k) = -4*k**3 - 2*k**2 - 3*k - 4. What is the remainder when x(-3) is divided by 24?
23
Suppose 0 = 3*t - 9. Suppose 5*q - 45 = 5*j, -t*j = q - 6 + 1. Suppose 4*p + l + 5 = 62, 0 = -3*p + 3*l + 39. What is the remainder when p is divided by q?
6
Calculate the remainder when 9/(-2*5/(-30)) is divided by 6.
3
Suppose 3*i = -4*i + 42. What is the remainder when 11 is divided by i?
5
Let f(i) = i**3 + 14*i**2 + i + 19. What is the remainder when 38 is divided by f(-14)?
3
Let r = 5 - 5. Let q = 3 - r. Calculate the remainder when 7 is divided by q.
1
Suppose 0*a = 5*a + k - 61, a - k = 17. What is the remainder when 6*(-4)/((-120)/125) is divided by a?
12
Let r = 124 - 112. What is the remainder when 35 is divided by r?
11
Suppose 