f - f. Let j = -33 - f. What is the remainder when j is divided by 7?
5
Suppose -4*v - 33 = -197. Suppose 5*f + 159 + v = 5*l, -5*l + 204 = -f. Calculate the remainder when l is divided by 12.
5
What is the remainder when (-2)/(-3)*(0/5 - -348) is divided by 63?
43
Let a be (-285)/(-25) + (-3)/(-5). Suppose 0 = 4*k - 3*k - a. What is the remainder when 88 - 1 - (k - 11) is divided by 11?
9
Let v(m) = 34*m**2 - 2*m + 2 - 3 + 0 + 0*m. What is the remainder when 68 is divided by v(-1)?
33
Suppose o - 48 + 5 = -3*u, 2*u - 36 = 3*o. Suppose -2*j + 140 = 2*r, 2*j - 95 = 3*r + 55. Calculate the remainder when j is divided by u.
12
Let p = 78 - 39. Suppose 5*y + 30 = 3*m + 223, -m - p = -y. Calculate the remainder when y is divided by 10.
8
Suppose -4*a + 318 - 146 = 0. What is the remainder when 170 is divided by a?
41
Suppose -24*r - 5*i = -25*r + 23, 3*r + i = 69. What is the remainder when 28 is divided by r?
5
Suppose -4*s = 2*u - 24, s - 4 = -3*s. Calculate the remainder when 26/(-130) + (-672)/(-10) is divided by (u/(-4)*-4)/1.
7
Suppose -2*q = 5*t - 301 - 214, 220 = q - 5*t. What is the remainder when q is divided by 20?
5
Calculate the remainder when 44 is divided by (-9)/(126/56)*9/(-2).
8
Let b(a) = 2*a**3 - 2*a**2 - 4*a - 6. Let v be b(3). Let i = 132 - v. What is the remainder when i is divided by 23?
22
Let s(b) = 2 - b**3 + 2*b - 58*b**2 + 8 + 48*b**2. Let c be s(-10). What is the remainder when 9 is divided by (15/c)/(2/(-4))?
0
Let t(p) = 16*p**2 + 11*p - 35. What is the remainder when t(5) is divided by 25?
20
Suppose 0 = 34*y + 42 - 586. What is the remainder when 285 is divided by y?
13
Let a(b) = -8*b + 31. Suppose -7 + 17 = 2*w. Let v(l) = -12*l + 47. Let h(c) = w*v(c) - 8*a(c). Calculate the remainder when 20 is divided by h(6).
9
What is the remainder when 86 is divided by -2 + 21 - 7/((-21)/(-3))?
14
Let n(k) = 76*k - 1627. Suppose -16 = -v - 0. Calculate the remainder when n(22) is divided by v.
13
Suppose 20 = 12*u - 7*u, 2*p = 3*u + 274. What is the remainder when p is divided by 24?
23
Suppose -426 = -0*r - 2*r + t, 3*r - 5*t = 625. What is the remainder when r is divided by 62?
29
Let s = -8 + 3. Let q(d) = -d**2 - 4*d + 1. Let n be q(s). What is the remainder when 1602/22 + n/(-22) is divided by 19?
16
Let b = 155 + -113. Suppose 0 = 3*s + h + 4*h - 20, 5*s - 3*h + 12 = 0. Suppose s = -9*a + 4*a + 75. Calculate the remainder when b is divided by a.
12
Let u(d) = -d**2 - 4*d + 15. Let g(r) = 2*r**3 - 22*r**2 + 14*r + 15. Calculate the remainder when g(11) is divided by u(-5).
9
Let u be 43 + (1 + 0 - 2). Suppose -177 + u = -5*y. Calculate the remainder when 51 is divided by y.
24
Suppose 2*i = -3*h + 9, -3*h + 4*i - 6 = -5*h. Suppose 1 = 2*a - 5. Calculate the remainder when a is divided by h.
0
Let v = -5 - -2. Let q = v - -9. Suppose -o + q*o = 65. Calculate the remainder when 24 is divided by o.
11
Let i = 411 - 389. Calculate the remainder when i is divided by 16.
6
Let q = 33 - 15. What is the remainder when ((-51)/(-2))/(1 - 38/76) is divided by q?
15
Let d(a) = a**3 - 8*a**2 - 31*a - 2. Calculate the remainder when 279 is divided by d(11).
19
Suppose 2*w + 9 = 3*n + 5*w, n + 3 = -4*w. Let i(y) = 7*y + 8. Calculate the remainder when 82 is divided by i(n).
39
Let v be (-12)/9 - (-368)/24. Suppose -30*c = -32*c + v. Calculate the remainder when 18 is divided by c.
4
Let x(y) = 14*y + 1. Suppose -6*k - 87 = 21. What is the remainder when x(4) is divided by 2/(-9) - 544/k?
27
What is the remainder when (167*(-9 + 8))/((-1)/3) is divided by 51?
42
Suppose -4*s - 25 = -81. Suppose -5*h - 451 = -2*g, 4*g - g + 4*h = 665. Suppose 0 = 6*l + 61 - g. Calculate the remainder when l is divided by s.
13
Let u = -53 + 88. Suppose 0 = 3*c - n + 2, 4*n - 6 - 17 = -3*c. Suppose -2*j + 23 = -c. Calculate the remainder when u is divided by j.
11
Suppose -b = -0*b + 4. Let g be ((-25)/b)/(1/(-4)). Calculate the remainder when ((-30)/g)/((-6)/(-160)) is divided by 17.
15
Let v(i) = 3*i**2 + 30*i + 98. Calculate the remainder when 110 is divided by v(-3).
5
Let i = -160 + 171. Suppose -8 = -2*j, s + 3*j = 2*j + 23. Calculate the remainder when s is divided by i.
8
Let o(r) = -r**3 - 7*r**2 + 3*r - 31. What is the remainder when 962 is divided by o(-8)?
8
Suppose 16*o - 264 = 10*o. Calculate the remainder when 105 is divided by o.
17
Suppose -33*x + 41*x - 32 = 0. Let m(f) = -f**3 + 8*f**2 - 8*f - 6. Let n be m(6). Let z = 25 - n. What is the remainder when z is divided by x?
3
Suppose -164*z = -160*z + 2*h - 276, 4*z = -5*h + 258. What is the remainder when z is divided by 4/(-10) - (-107)/5?
9
Let f(c) = c - 22. Let v be f(10). Calculate the remainder when (-217)/(-4) + 3/v is divided by ((-38)/(-3))/(4/6).
16
Let s(a) = a**3 - 9*a**2 - 30*a - 60. Calculate the remainder when (20/(-1))/(-2 + 1) is divided by s(12).
8
Let z(p) = p**3 - 2*p**2 - 2*p + 2. Let g be z(2). Let k(v) = -41*v. Let m = 12 - -16. What is the remainder when k(g) is divided by m?
26
Suppose 2*r - 539 = -18*w + 13*w, -4 = -4*w. What is the remainder when r is divided by 45?
42
Let a = -15 - -19. Suppose a*q = q + 129. Let b = q - 20. Calculate the remainder when 68 is divided by b.
22
Let h(a) = 8*a**2 - 9*a + 26. Calculate the remainder when h(5) is divided by 31.
26
What is the remainder when -2*(3*32/(-6) + 2) is divided by 13?
2
Let n(b) be the third derivative of 1/120*b**6 - 1/15*b**5 + 0 - 2*b**2 - 1/6*b**4 + 0*b - 1/3*b**3. What is the remainder when 7 is divided by n(5)?
1
Let g(a) = 5*a**3 + 15*a**2 + 9*a - 26. Let s(i) = -i**3 - i**2 - i + 1. Let p(j) = g(j) + 6*s(j). Calculate the remainder when 32 is divided by p(9).
4
Let c be 43 - -6*2/(-4). Let n = c - 29. Let r = -11 - -16. Calculate the remainder when n is divided by r.
1
Let w(s) = 11*s - 12. Let k(z) = -11*z + 13. Let o(v) = 5*k(v) + 6*w(v). Calculate the remainder when o(4) is divided by 19.
18
Let o(i) = -i + 9. Let b be o(4). Suppose 7*u - 30 = b*u. Suppose -13*n - 42 = -u*n. Calculate the remainder when 60 is divided by n.
18
Suppose -11 = -4*r + 9. Suppose 0 = -5*p - 129 - 116. Let f = p - -71. Calculate the remainder when f is divided by r.
2
Let s(y) = -y**2 + 48*y**3 - 2*y**2 - 2 + 3*y + 33*y**3. What is the remainder when s(1) is divided by 17?
11
Suppose 0 = -5*w + 15, 0 = -2*c - 2*w - 17 + 5. Let x = 32 - c. What is the remainder when x is divided by 11?
8
Let c(z) = z**3 - 7*z + 14. Suppose -34 = -9*n + 11. Let y = -15 + 36. What is the remainder when c(n) is divided by y?
20
Suppose w - 86 = -3*w + 5*g, 0 = -5*g + 10. Suppose 5*l = 0, 2*b - w = b - l. Let f = -14 + 59. What is the remainder when f is divided by b?
21
Suppose 0 = 3*v - 76 + 25. Let z(l) = 129*l + 1694. Calculate the remainder when v is divided by z(-13).
0
Let i(v) = -8*v + 214. Calculate the remainder when 478 is divided by i(26).
4
Let p = -1 - -9. Suppose u - 1 = p. Calculate the remainder when (128/20)/((-2)/(-5)) is divided by u.
7
Suppose 3*a - 3*n - 30 = 0, 31*n = 3*a + 35*n - 30. Calculate the remainder when 16 is divided by a.
6
Suppose 12*g - 10*g = -3*z + 319, 811 = 5*g + 3*z. What is the remainder when g is divided by 21?
17
Suppose t + 5*l - 40 + 3 = 0, t - 4*l + 8 = 0. Let n = 58 + -35. What is the remainder when n is divided by t?
11
Suppose -9*a + 10 = -4*a - 2*b, 4*a - 21 = -b. Let t = 7 - 5. What is the remainder when 3 is divided by (t/9)/(a/36)?
1
Let u(s) = s**3 - s**2 - s + 2. Let o be u(2). Suppose -o = -p + 9. Suppose 11 = 4*f - p. Calculate the remainder when 15 is divided by f.
3
Suppose -4*y + 4 = -4. Let f be -4 + y + -4 + -31. Let w = 65 + f. Calculate the remainder when w is divided by 10.
8
Let c = 8 - -5. Let u = -220 + 228. Calculate the remainder when c is divided by u.
5
Suppose -105 = 2*s + 37. Let k = s + 146. Calculate the remainder when k is divided by 19.
18
Let s(y) = -y**3 + 13*y**2 + 20*y + 3. Calculate the remainder when s(-5) is divided by 85.
13
Suppose -7*l + 3*l = -3*u - 116, 2*u = -4*l + 136. Suppose 4 = 4*q + 3*s, 8 = -5*q + s + l. What is the remainder when 25 is divided by q?
1
Let v(h) = h - 3. Let m be v(5). Suppose -a + 12 = 3*b + m*b, -3*b + 31 = 2*a. Calculate the remainder when 82 is divided by a.
14
Suppose -5*k = -6*k + 3. Suppose a - 4 = 0, k*f - 5*a + 9