c(y) be the first derivative of -y**4/4 + 7*y**3/3 + y**2/2 + 4*y + 2. Calculate the remainder when 41 is divided by c(7).
8
Let p(k) = -6*k + k**3 - 17*k**2 - 2*k**3 - 11 + 8*k**2. What is the remainder when p(-9) is divided by 22?
21
Suppose 0 = -2*o - x + 30, -2*o - 3*x + 43 = 13. Calculate the remainder when 40 is divided by o.
10
Let b be (1 - (0 + 0))/(-1). Suppose 0 = 3*a + 3, 46 = 6*q - q - a. What is the remainder when q is divided by ((-15)/6)/(b/2)?
4
Calculate the remainder when 18 is divided by ((-30)/12)/(1/(-2)).
3
Suppose 0 = -h - 3*y + 7*y - 3, 2*y = -3*h + 47. Calculate the remainder when h is divided by 3/1 - (-2)/1.
3
Let n(b) = b + 2. Let k be n(0). Suppose -4*g = -4*o + 204, k*o - 14 - 53 = -5*g. Calculate the remainder when o is divided by 16.
14
Let a be 0 - (1 - (1 + 1)). Suppose 146 = 3*x - a. Calculate the remainder when x is divided by 17.
15
Let g(o) = -o - 4. Let i be g(4). Let u(j) = j**2 + 3*j - 5. What is the remainder when u(i) is divided by 12?
11
Let f(b) = -3*b. Let d be f(1). Suppose -185 + 31 = -11*t. Calculate the remainder when ((-32)/d + -2)*3 is divided by t.
12
Suppose -2*o = o - 18. Suppose u - o = -2*u. What is the remainder when 3 is divided by u?
1
Suppose -4*x - 16 - 32 = 0. Calculate the remainder when 10 is divided by (-4)/12*x*1.
2
Let i be (4/(-6))/((-2)/(-36)). What is the remainder when 16 is divided by (-70)/(-8) - 3/i?
7
Suppose 0 = -17*v + 15*v + 58. Calculate the remainder when v is divided by 8.
5
Suppose 3*j - 6*j - 9 = 0. Let b(q) = 5 + 2*q - 6 - 3*q. Calculate the remainder when 5 is divided by b(j).
1
Suppose -r = -130 + 15. Suppose i = -5*m + 164, -5*i - r = -4*m - 7. What is the remainder when m is divided by 11?
10
Let n(z) = z + 15. Calculate the remainder when n(-11) is divided by 3.
1
Suppose -j + 120 = -4*g, 4*g - 3 + 7 = 0. Suppose -3*s = -s - j. What is the remainder when s is divided by 15?
13
Let n = 190 - 161. Calculate the remainder when n is divided by 19.
10
Let j(d) = -21*d**2 + 8*d - 15. Let z(a) = 11*a**2 + 0*a**2 - 4*a + 5 + 3. Let v(u) = -6*j(u) - 11*z(u). Calculate the remainder when v(2) is divided by 8.
6
Let o = -62 + 68. What is the remainder when 23 is divided by o?
5
Let n(f) = f**2 - 5*f - 8. Let r be n(8). Suppose 2*i + 2 = -4*x, 4*x + 4*i = 8*x - r. What is the remainder when 2 is divided by x?
0
Calculate the remainder when 101 is divided by (-14)/(-35) + 256/10.
23
Let r = 27 + -2. What is the remainder when 42 is divided by r?
17
Let c(a) = -a**2 + 6*a + 6. Suppose 0 = l - 0 + 2. Let f(j) = -2*j**3 - j + 2. Calculate the remainder when f(l) is divided by c(5).
9
Calculate the remainder when 49 is divided by 30 + (-2 - (-1 + 3)).
23
Let g(i) = -2*i - 15. Calculate the remainder when 8 is divided by g(-9).
2
Let a(y) = -y**3 - 5*y**2 + 10*y - 9. What is the remainder when 55 is divided by a(-7)?
17
Suppose -z + 4 = z, -h + 2*z + 12 = 0. Calculate the remainder when 62 is divided by h.
14
Let b be (-4)/(20/3)*-5. Suppose l + 2*f = 12, -3*f + f = b*l - 24. Suppose 2 + l = 2*j. Calculate the remainder when 7 is divided by j.
3
Let r(d) = 2*d**2 + 4*d + 10. Calculate the remainder when 53 is divided by r(-3).
5
Suppose 3 = o - 8. Calculate the remainder when (1 - 0) + 19/1 is divided by o.
9
Let c(o) = -2*o**3 - 6*o**2 - 3*o - 5. Calculate the remainder when c(-4) is divided by 20.
19
Suppose 5*f - y = -32, y + 0 = -4*f - 22. Suppose 2*i = -0*i + 30. What is the remainder when (-43)/(1 + f/3) is divided by i?
13
Let z(v) = v - 1. Let x be z(2). Let k be x*-1*(4 + -8). Suppose -5*j + k*r + 132 = 0, -3*r - 24 = -5*j + 105. What is the remainder when j is divided by 13?
11
Let o be (-2)/(44/(-12) - -3). Suppose -o*b - 54 = -150. What is the remainder when b is divided by 11?
10
Let w = 10 + 7. Calculate the remainder when w is divided by 7.
3
Suppose -10*c = -4*c - 786. Calculate the remainder when c is divided by 7.
5
Let t(g) = g**2 + 2*g + 3. Calculate the remainder when 50 is divided by t(-5).
14
Suppose 5*c + 5*j + 60 = 0, 0*c + 12 = c - 5*j. Let u = c + 35. Let v(t) = -14*t - 4. Calculate the remainder when v(-4) is divided by u.
25
Suppose 4*u = -u + 45. Let q be (-3 + 2)/(1/(-3)). Calculate the remainder when 25 is divided by (2 - q)/((-1)/u).
7
What is the remainder when ((-123)/(-3))/((-2)/(-2)) is divided by 14?
13
Suppose 1 + 43 = 2*s. Let b(k) = -k**3 + 10*k**2 - 7*k - 12. Calculate the remainder when s is divided by b(9).
4
Suppose 146 = 5*a - 3*a. What is the remainder when a is divided by 25?
23
Suppose -21 = 2*b + 5*f, 4 + 5 = 2*b - f. Suppose -3*a + s - 304 = 73, -b*a + 3*s - 256 = 0. Let v = -61 - a. What is the remainder when v is divided by 22?
20
Let z(f) = f**2 + 13*f - 1. Calculate the remainder when 49 is divided by z(-14).
10
Let r = 71 - 43. What is the remainder when 108 is divided by r?
24
Suppose 3*b + 33 = 6*b - 5*w, -5*b + 5*w + 45 = 0. Suppose -3*z + 10 = -d, 4*d + 3*z - b = 7*d. What is the remainder when 4 is divided by d?
0
Suppose 0 = 2*o - b, -10 = -3*o - 3*b + 8. Let f(m) be the second derivative of m**4/4 + m**3/6 - m**2/2 + 2*m. What is the remainder when f(1) is divided by o?
1
Let j be 93/12 + (-2)/(-8). Suppose -j - 82 = -2*o. Calculate the remainder when o is divided by 12.
9
Let z(k) = -3*k**2 + 3*k + k**3 - 5 + 0*k**2 - 5*k**2 + 2. What is the remainder when z(8) is divided by 8?
5
Suppose -u - 24 = -m, 4*m - 3*u - 10 - 81 = 0. Let x = m + -9. Calculate the remainder when 37 is divided by x.
7
Let k(z) = -z**3 - 4*z**2 - 4*z - 3. Let g be k(-3). Suppose -2*j + 4*a + 50 = -g*a, -j = 2*a - 45. Calculate the remainder when j is divided by 18.
17
Suppose 6 = q - 3. Let z be 2/q + (-291)/(-27). Calculate the remainder when 1 + 0 - (-2 - z) is divided by 8.
6
Calculate the remainder when 33 is divided by (97 + 5)/6 + 1.
15
Let y = 36 + -24. Suppose 3*f - 110 = -2*m, -3*m - 208 + y = -5*f. What is the remainder when f is divided by (78/24)/(2/8)?
12
Let r = 74 - 43. Suppose 4*g - r = 3*g. Suppose 0 = 3*j - 5*v - 18, -44 = -5*j + 5*v - 4. Calculate the remainder when g is divided by j.
9
Suppose -17 = -2*g + 7. Suppose -d - 4*d = -5. Suppose 2*z - 10 = 2*q, 0*z + 3*q + d = z. Calculate the remainder when g is divided by z.
5
Suppose 7*l = 178 + 186. What is the remainder when 154 is divided by l?
50
Let k = 2 + 1. Let r = -2 - -2. Suppose -i + 16 = 2*z - 8, r = -5*i - k*z + 99. What is the remainder when i is divided by 10?
8
Suppose 5*t + w = 121 + 78, -2*t + 79 = w. Let k be ((-2)/(-4))/(2/8). Suppose -t = -k*r + 40. Calculate the remainder when r is divided by 14.
12
Suppose w = 5*c - 12, 0*c + 4*c = -4*w + 72. What is the remainder when (-1)/((-4)/w)*4 is divided by 5?
3
Suppose m + m - 5*r - 43 = 0, -5*m - 5*r + 20 = 0. Calculate the remainder when 299/9 + (-2)/m is divided by 9.
6
Let i = -35 - -59. What is the remainder when i is divided by 6?
0
Let d(u) = -u**3 + 4*u**2 + 3*u + 6. Calculate the remainder when d(3) is divided by 13.
11
Let t be (-7 - -6)*(-1)/1. Let w = -26 + 55. Calculate the remainder when w is divided by (-6 + -3)*-1 + t.
9
Suppose -23*j + 108 = -19*j. Calculate the remainder when j is divided by 6.
3
Suppose 0 = 4*f + f - 110. What is the remainder when 41 is divided by f?
19
Let d(r) = 31*r**2 + 6*r + 7. What is the remainder when d(-2) is divided by 24?
23
Let z(f) = 4*f + 1. Let m be z(3). Suppose -u + 3*c = -5*u - 16, 4*c + m = 3*u. What is the remainder when (8/2)/(u/(-2)) is divided by 3?
2
Suppose 3*y - 23 = 4*d, 0 = -d - 2 - 0. What is the remainder when 23 is divided by y?
3
Suppose -4*s - 2 = -10. Suppose -j - s = -2*j. What is the remainder when j is divided by 1?
0
Let r(n) = -2*n**2 - 2*n - 1. Let p = 8 + -10. Let a be r(p). Let u(l) = l**3 + 5*l**2 - 2*l + 3. Calculate the remainder when u(a) is divided by 7.
6
Let x = -4 + 6. Suppose 0*q + 22 = x*q. What is the remainder when q is divided by 3?
2
Let l = 28 + -45. Let t = -1 + l. Let s = t + 26. Calculate the remainder when 15 is divided by s.
7
Suppose -2*y + 273 = y. Suppose 4*k - 53 = y. Let f = -24 + k. What is the remainder when f is divided by 7?
5
Let j be (1*-33)/(1 - 2). Suppose 2*w - j = -w. What is the remainder when 21 is divided by w?
10
Suppose 5*k - 4*k - 12 = 0. Suppose -112 = -5*r - k. What is the remaind