 Let d(c) = c**3 - 11*c**2 + 10*c + 10. Calculate the remainder when 17 is divided by d(f).
7
Let j(t) be the first derivative of t**4/4 - 4*t**3/3 - 2*t**2 - 2. Let p be j(5). Suppose -18 = p*m - 53. What is the remainder when 19 is divided by m?
5
Let m(y) = 5*y**3 - 6*y**2 + 8*y. Calculate the remainder when 191 is divided by m(2).
31
Let a = 2 + -9. Let k be (a + 2 - -2)/1. Let z = k - -9. What is the remainder when 11 is divided by z?
5
Let w(r) be the third derivative of -r**6/120 + r**5/15 + r**4/3 - 7*r**3/6 + 2*r**2. Let q = 79 - 56. Calculate the remainder when q is divided by w(5).
7
Let v(h) = -h**3 - 7*h**2 - 7*h - 1. What is the remainder when 3 + 7/(21/48) is divided by v(-6)?
4
Let f(r) = r**2 + 2*r + 25. Calculate the remainder when f(-6) is divided by 25.
24
Suppose -z - 4*o = 13, 4*z - 4*o + 2*o - 20 = 0. Suppose -z*l = -0 - 3. What is the remainder when 22 is divided by 6 + 1 - l/(-1)?
6
Let k = -62 + 99. What is the remainder when k is divided by 14?
9
Suppose 0 = 5*c + 25, 15*k - 43 = 13*k + 5*c. Calculate the remainder when 125 is divided by k.
8
Suppose d + 22 = 2*r - d, -19 = -2*r + 3*d. What is the remainder when 55 is divided by r?
13
What is the remainder when ((-12)/(-45) - 10/15)*-210 is divided by 11?
7
Let b = -72 - -155. Calculate the remainder when b is divided by 43.
40
Suppose -3*c - c = -8. Let i(a) = -13*a**3 + a**2. Let h be i(1). What is the remainder when (-1)/(((-10)/h)/(-5)) is divided by c?
0
Let d = -8 - -11. Suppose g - d*g = -8. Let p = 19 - 12. What is the remainder when p is divided by g?
3
Suppose -2*f + h = 0, -f - 3 = -h - 1. Let i(w) = -3 + 7*w - f + 2. What is the remainder when 34 is divided by i(3)?
16
Let b(y) = -y**3 - 10*y**2 - 3*y - 7. Let z = -19 + 9. What is the remainder when b(z) is divided by 12?
11
Suppose -2*c + 6 = i, 3*i + 0*i + 22 = 4*c. Suppose c*y - y - 30 = 0. Calculate the remainder when 38 is divided by y.
8
Let n(m) = -m + 0 + 0*m - 8*m**3 - 1 + 11*m**3. Calculate the remainder when 60 is divided by n(2).
18
Let g = -194 - -212. Calculate the remainder when (-2 + 67/(-2))*-2 is divided by g.
17
What is the remainder when 46 is divided by (-8)/(-20) + 58/5?
10
Suppose n = -4*a + 37, -n + 2*a = -a - 2. Let y(v) = 4*v**3 - 3*v + 1. Let t be y(2). Let w = t - 18. Calculate the remainder when n is divided by w.
8
Let w = -6 + 12. What is the remainder when 44/(5/(15/w)) is divided by 6?
4
Suppose 2*s = -2*s + 344. Suppose 3*f - 62 = -2*t, -2*t + 3*t + 68 = 3*f. Calculate the remainder when s is divided by f.
20
Suppose 82*h = 93*h - 143. Suppose 125 - 45 = 5*u. Suppose -5*d = -41 + u. What is the remainder when h is divided by d?
3
Let s be 5/10 - 38/(-4). Let m = -15 - -29. What is the remainder when 264/s - 2/5 is divided by m?
12
Suppose 2*a = -2*p + 2, 0 = -2*a - 0*p + p + 11. Suppose 4*h - 8 - a = 0. What is the remainder when 8 is divided by h?
2
Suppose 1 + 5 = 3*l. Let i(o) = 4*o**2 + 2*o - 1. What is the remainder when 37 is divided by i(l)?
18
Suppose k = 3*k - 40. Let l = k - 4. Suppose 0 = 2*b - 18 - l. Calculate the remainder when b is divided by 10.
7
Suppose 41 = r - 4*x, -4*x = 4*r - 29 - 155. Calculate the remainder when r is divided by 12.
9
Let z = 36 + -50. Calculate the remainder when 79 is divided by 80/z*(-35)/10.
19
Let n = 9 - 4. Suppose 3*p + 2*g - 3 = 0, 3*g + 2 = -p + 3. What is the remainder when (12 + -2)*p + -2 is divided by n?
3
Let w = -43 - -76. Calculate the remainder when 65 is divided by w.
32
Let l(u) = 2*u**2 - 5*u + 4. Let g be l(3). Suppose 20 = v + g. What is the remainder when 36 is divided by v?
10
Suppose 5*o - 70 + 1 = 3*n, -50 = -4*o + 5*n. Calculate the remainder when (-8)/28 + 410/14 is divided by o.
14
Suppose 3*j + 4 = -j. Calculate the remainder when 4 is divided by 0 - j - (4 - 5).
0
Suppose 0 = -4*d - d + 115. Calculate the remainder when 113 is divided by d.
21
Calculate the remainder when 27 is divided by (2/2)/((-2)/(-14)).
6
Let p = -5 + 7. Suppose p*g + 4 = 4*g. Suppose g*b - 12 = 122. What is the remainder when b is divided by 23?
21
Let w = 71 + -44. Let v(u) = u + 16. Let y be v(-7). Let t = y + 5. What is the remainder when w is divided by t?
13
Let s = -3 - -5. Suppose 0*k - s*k + 104 = 0. Calculate the remainder when k is divided by 18.
16
Suppose -4*u + 16 = -4*z, 0*z = 3*z + 3. What is the remainder when 14 is divided by u?
2
Suppose -3*x + 32 + 16 = 0. What is the remainder when 42 is divided by x?
10
Let l = 7 - 7. Suppose l = 5*m - m - 28. What is the remainder when 10 is divided by m?
3
Suppose -m - 13 = -p + 6*p, -3*p = -3*m + 33. Calculate the remainder when m is divided by 4.
3
Suppose 5*p = -4*w + 734, -4*w + 4*p - p + 718 = 0. What is the remainder when w is divided by 26?
25
Let w(v) = v**2 - 21. What is the remainder when w(-9) is divided by 21?
18
Let h(o) = -4 + 4 + 4*o + 4*o. Calculate the remainder when 15 is divided by h(1).
7
Calculate the remainder when 10*11/(44/8) is divided by 13.
7
Let u(c) = c**2 - 7*c - 5. Calculate the remainder when (16/(-20))/((-4)/40) is divided by u(8).
2
Suppose 0*s + s = 5*a + 5, 4*s + 4*a = 20. Suppose 3*i = -4*g - g + 20, s*g - i = 20. Calculate the remainder when 13 is divided by g.
1
Let q(v) = -v**3 - 8*v**2 - 2*v - 11. Let c be q(-8). Let p = 11 - c. Let f(h) = -h**3 - 6*h**2 - 6*h - 1. What is the remainder when p is divided by f(-5)?
2
Let w be (4/6)/((-2)/(-9)). Let t(h) = -4*h**2 + h**3 + 0*h**w + 3*h - h**2 + 2 + 2*h. Calculate the remainder when 9 is divided by t(4).
3
Suppose -3*g - s = -6*g + 8, 4*g - 14 = -2*s. Suppose 0 = -4*d - 2*q + 18, 3*d + q - 20 = -9. Calculate the remainder when g is divided by d.
1
Let n = 2 + 21. Calculate the remainder when 41 is divided by n.
18
Suppose 0*r = 4*r - 136. What is the remainder when r is divided by 9?
7
Let m = 0 + 3. Suppose -4*f + f + 3*v + 30 = 0, -4*f + 33 = m*v. Let s = 16 + -11. What is the remainder when f is divided by s?
4
Suppose -5 = -t + j + 9, 0 = -t - 4*j + 24. Let y = t - 0. Calculate the remainder when y is divided by 9.
7
Calculate the remainder when 204 is divided by (-4 - (-245)/10)/((-5)/(-10)).
40
Suppose 0*g - 10 = -t + 5*g, -3*t = -2*g - 69. Let u(x) = 3*x**2 - 2*x + 1. What is the remainder when t is divided by u(2)?
7
Suppose 6 = 2*y - 18. Let a(r) = 7*r + 3*r**2 - 16*r - r**3 + 2 + 10*r. What is the remainder when y is divided by a(3)?
2
Suppose 0 = 2*z + n - 13, z - 14 = -3*z + 2*n. Suppose 2*b + 4*s - 23 = 3, -97 = -z*b - 2*s. What is the remainder when b is divided by 11?
10
Let n(u) = 12*u**3 + 2*u**2 - 1. Let a be n(1). Suppose 3*p = a - 4. Suppose -i - p = -2*i. What is the remainder when 8 is divided by i?
2
Suppose -s + 18 + 0 = -5*o, 0 = -3*o + 4*s - 4. Let c = o + 9. What is the remainder when 14 is divided by c?
4
Let p = -6 + 12. Suppose y + 3*f - 47 = 6*y, -34 = 3*y + 4*f. What is the remainder when (-84)/y*20/p is divided by 10?
8
Suppose 2*q = -0*q - 8. Let o be (-8 + -1)/(6/q). Calculate the remainder when 22 is divided by (13 - 1)*4/o.
6
Suppose 0 = 2*p - 3*d - 79, 2*p - 5*d - 38 - 39 = 0. What is the remainder when p is divided by (2/(-4))/((-6)/168)?
13
What is the remainder when 41 is divided by (150/(15/3))/2?
11
Calculate the remainder when (2 - 7/2)*-10 is divided by (-130)/12 + 11 + 70/12.
3
Let b(k) = -2*k**3 - 1 - 2*k + k**3 + 0*k**2 - 2*k**2. Suppose 2 = p + 4. What is the remainder when 10 is divided by b(p)?
1
Calculate the remainder when 69 is divided by ((-27)/36 - (-6)/(-56))*-21.
15
Let t = -27 - -30. Let r = 7 - -1. What is the remainder when r is divided by t?
2
What is the remainder when 4 is divided by 3/((-12)/(-16)) + (-4 - -1)?
0
Let c(q) be the first derivative of q**4/4 + 5*q**3/3 + 2*q**2 - 2*q - 1. Let o be c(-4). What is the remainder when 15 is divided by 4/(-3)*3*o?
7
Suppose -181 - 95 = -4*s. Calculate the remainder when s is divided by 18.
15
Suppose 5*w + 432 + 118 = 0. Let t = -77 - w. Suppose -t = -4*c + c. What is the remainder when 32 is divided by c?
10
Let u be (-2 - -120)/(-1 + 3). Suppose 2*y + 4*h + 0*h = 34, -3*y + 2*h = -u. Calculate the remainder when 35 is divided by y.
16
Suppose 4*k - 115 + 27 = 0. Calculate the remainder when 65 is divided by k.
21
Suppose -4*m + 24 = -4*i, m + i - 3 = 1. Suppose -4*z - 2 + 1