.
17
Let u(s) = s**3 + 13*s**2 + 9*s - 19. Calculate the remainder when 47 is divided by u(-12).
13
Suppose -3*k - 18 = -2*m - m, 0 = 3*m + 3*k + 6. Let r be (4/(-5))/(m/(-5)). What is the remainder when (-21)/r*(-8)/6 is divided by 5?
4
Suppose 5*a - 2*l = 3*l + 150, 3*a = -2*l + 90. Let d = a - -9. What is the remainder when d is divided by 14?
11
Suppose 18 = -0*q + q + 5*i, 3*i + 88 = 2*q. Calculate the remainder when q is divided by 10.
8
Suppose k = 2*y + 1 - 8, 4*y - 5*k = 5. Suppose 0 = -4*x + m + 150, -4*x + 56 + 82 = y*m. Suppose 31 = 4*g - x. What is the remainder when g is divided by 9?
8
Let r = 5 - -5. Suppose 2*q - 18 = 6*b - 10*b, 0 = 3*q - 3*b. What is the remainder when r is divided by q?
1
Let a = -60 + 123. Suppose -4*o + a = -13. Calculate the remainder when 73 is divided by o.
16
Let r = -4 - -9. Suppose -r*s - 19 = -6*s. What is the remainder when s is divided by 10?
9
Suppose -2*h = -2 - 6. Suppose -p = 4*j + 43 - 342, -h*j - 4*p + 308 = 0. Calculate the remainder when j is divided by 25.
24
Let x(k) = 5*k - 40 + 0*k + 27. Calculate the remainder when 48 is divided by x(6).
14
What is the remainder when 222/9*(-6)/(-4) is divided by 8?
5
Suppose -5*w + 20 + 25 = 0. Calculate the remainder when (-166)/(-10) + (-2)/(-5) is divided by w + -5 + (-1 - -7).
7
Suppose 5*h = 4*h + 182. Calculate the remainder when 44 is divided by 7/28 - h/(-8).
21
Let b be -2 - (0 + -1) - -1. Let i = b - -3. What is the remainder when 15 - i/(-9)*0 is divided by 8?
7
Let t(l) = -l**3 + 6*l**2 - 6*l + 15. Calculate the remainder when 47 is divided by t(5).
7
Suppose 4*j - 13 = 31. Suppose 4*t + 72 = 8. Let b = 22 + t. What is the remainder when j is divided by b?
5
Let l(w) = w**2 + 5*w + 6. Let r be l(-4). Suppose 2*g + r*g - 92 = 0. Calculate the remainder when g is divided by 12.
11
Suppose 2*z = -3*m - 15, -3*m = z - 3 + 18. Suppose -3*s = -z*s - 18. What is the remainder when (174/(-9))/((-4)/s) is divided by 10?
9
Suppose 0 = 3*a - 0*a - 117. Let l = a - 27. What is the remainder when 33 is divided by l?
9
Let c(d) = -d**2 + 6*d + 24. Let p = -99 - -145. What is the remainder when p is divided by c(6)?
22
Let o(t) = 0 - 1 - 2*t**3 + 0*t**2 + t**2 + 12*t**3. Let n(f) = f + 4. What is the remainder when o(1) is divided by n(0)?
2
Suppose -3 + 1 = -x. Suppose 4*d = 2*a + 173 - 29, -4*a = -x*d + 66. What is the remainder when d is divided by 19?
18
Let l be (((-12)/2)/(-3))/1. Suppose -2*n + 4*n - 8 = 0. Suppose 4*v + n*y = 5*v - 45, 3*v + l*y = 107. Calculate the remainder when v is divided by 13.
11
Let n(d) = -5*d**3 - d**2 + 1. Suppose 4*p + 2*m - 32 = 7*m, 0 = -3*m. Suppose -c - p = 3*c. What is the remainder when n(c) is divided by 13?
11
Suppose 3*x = 5*g + 22 + 13, -3*x + 3*g + 33 = 0. Calculate the remainder when 28 is divided by x.
8
Suppose -4*z - 2*k + 8 = -3*z, 2*k = z + 4. Let f(h) = -4*h + 5 + 3*h - z*h. What is the remainder when f(-6) is divided by 8?
7
Suppose 0*b = b - q - 18, 4*b - 47 = -q. Let h(n) = -32*n + 4. Let x be h(-4). Suppose 4*r + 32 - x = 0. Calculate the remainder when r is divided by b.
12
Suppose -u + 16 = -3*z, -4*z - 24 = u - 5*u. Let t(h) = -h. Let j be t(z). Suppose -74 = -j*m - 5*o - 19, 3 = -o. What is the remainder when m is divided by 8?
6
Calculate the remainder when -1*85*42/(-70) is divided by 18.
15
Suppose -k = -2*k + 5. What is the remainder when 16 is divided by k?
1
Suppose -2*x + 80 = 3*x. Calculate the remainder when 61 is divided by x.
13
Let m be (-1)/(3/(-2) - -1). Let f(h) = 6 + 0*h + 3*h - m. Calculate the remainder when f(9) is divided by 11.
9
Suppose 0 = -21*c + 6*c + 285. Let s = 57 + -20. Calculate the remainder when s is divided by c.
18
Suppose -5*t - g + 41 = g, 3*g = -5*t + 44. Suppose -4*k + t = -53. Calculate the remainder when (1/3)/((-1)/(-87)) is divided by k.
14
Suppose 3*h - 639 = -3*w, 4*h = 2*w + 8*h - 422. Calculate the remainder when w is divided by 12.
11
Let y(a) = 5*a - 1. What is the remainder when 26 is divided by y(2)?
8
Let o = 6 + 3. Let p(h) = 4*h + 5. Suppose w = -y + 3, -4*w - 3*y = -8*y - 30. Calculate the remainder when p(w) is divided by o.
7
Let i(s) = s + 8. Let g be i(-6). Let q = 98 + -2. Suppose y + g*y = q. What is the remainder when y is divided by 17?
15
Suppose -5*a + 482 - 112 = 0. Let x be (-2 + 1)/((-20)/(-1060)). Let t = x + a. What is the remainder when t is divided by 8?
5
Suppose 3*m = 21 - 6. Calculate the remainder when 18 is divided by m.
3
Calculate the remainder when (5/(-3))/((-2)/6) is divided by 4.
1
Suppose 2*x = -3*x - 2*j + 14, 0 = -x + j. Suppose x = -g + 9. Let m(c) = -7*c - 1. Calculate the remainder when m(-3) is divided by g.
6
Let u(z) = -z**3 + 8*z**2 + 6. Let s(n) = 3*n**2 + 3*n + 2. Let f be s(-2). What is the remainder when u(f) is divided by 3?
0
Let w(v) = v**2 + 18*v - 42. What is the remainder when w(-21) is divided by 5?
1
Let b = -167 - -222. Let i(s) = -s**3 + 5*s**2 + 10*s - 9. What is the remainder when b is divided by i(6)?
10
Let z(q) = -q**3 - 6*q**2 - 7*q - 5. What is the remainder when z(-5) is divided by 4?
1
Suppose 3*s - 60 = -18. Suppose 0 = m - 4*m. Suppose m = 4*j, -2*j + 24 = 3*q - 3*j. What is the remainder when s is divided by q?
6
Suppose -5*f + 189 = -2*f. Calculate the remainder when f is divided by 22.
19
Let l(b) = -b**3 - 8*b**2 - 4. Let v be l(-8). What is the remainder when 26 + (-2 - v) + 0 is divided by 108/11 + (-18)/(-99)?
8
Suppose 0 = 3*p + p - 4, 5*r - 4 = p. Suppose 1 = -h - g, r = -h - 2*g - 3. Calculate the remainder when h is divided by 2.
0
Suppose -3*y + 6 = 51. Let s = y + 26. Suppose -8*l + 989 = 15*l. What is the remainder when l is divided by s?
10
Suppose a = -3*a + 128. What is the remainder when a is divided by 11?
10
Let b be 12/20 - 4/(-10). Calculate the remainder when 20 is divided by ((-11)/2)/(b/(-2)).
9
Let t(d) = d + 8. Let a be t(-6). Let y = a - 0. Calculate the remainder when y is divided by 1.
0
Let b(i) = -i**3 - 6*i**2 + 13*i + 19. Suppose 3 = -q + 1. Calculate the remainder when b(-8) is divided by ((-36)/q - 2) + -1.
13
Let p(c) = -18*c + 2. Calculate the remainder when 98 is divided by p(-1).
18
Let u = 5 - 5. Suppose u = 2*m - 15 - 13. What is the remainder when 27 is divided by m?
13
Let m(z) be the second derivative of 3*z**4/4 - 2*z**3/3 - 4*z. Calculate the remainder when m(3) is divided by 18.
15
Suppose -5*y - 2*b + 125 = -1032, -4*b - 227 = -y. Calculate the remainder when y is divided by 26.
23
Suppose 3*k - 4 = 2. Calculate the remainder when (160/(-30))/(k/(-12)) is divided by 17.
15
Let o(y) = -17*y. Let a be 6/15 + 7/(-5). Let t = 0 + 9. Calculate the remainder when o(a) is divided by t.
8
Suppose -2*x + 49 = -t, 2*x + 3*t - 29 + 0 = 0. Let n(a) = 12*a - 6. What is the remainder when n(4) is divided by x?
20
Let r(v) = v**2 - 15*v + 19. Calculate the remainder when r(17) is divided by 21.
11
Suppose 5*t - 22 = 8. Let c(k) = -t*k**2 + 6*k**3 + 6 - 7*k**3 - 5*k - 1. Calculate the remainder when c(-5) is divided by 3.
2
Suppose 53 - 65 = -d. Calculate the remainder when 118 is divided by d.
10
What is the remainder when 234/(-39) - 114/(-2) is divided by 11?
7
Let v(j) = 14*j - 10. Calculate the remainder when 63 is divided by v(3).
31
Let l(o) = o**2 + 1. Let g be l(-1). Suppose -3*z + g*z + 50 = 0. Suppose -5*u - j = -90, 15 = 3*j - 0. Calculate the remainder when z is divided by u.
16
Let k(t) = -15*t. Calculate the remainder when 56 is divided by k(-1).
11
Let b = 15 - 12. Suppose 4*r = -2*n + 20, 0 = b*n - 3*r - 9 - 12. Calculate the remainder when 13 is divided by n.
5
Suppose 0*c = 2*c - 26. Let k = -1 - -6. What is the remainder when c is divided by k?
3
Let i(n) = -n**3 - n**2 + 4*n - 1. Let u be i(-3). Let z(g) = g**2 - 4*g + 6. Calculate the remainder when 32 is divided by z(u).
10
Suppose -6*f + 72 = 18. What is the remainder when 24 is divided by f?
6
Suppose -9*p = -p - 40. Calculate the remainder when 16 is divided by p.
1
Suppose -z - 5*d + 3 + 42 = 0, 5*d = -2*z + 70. Calculate the remainder when 73 is divided by z.
23
Let j = -299 + 304. Let w(y) = 18*y**3 + y**2 + y - 1. What is the remainder when w(1) is divided by j?
4
Suppose i - 4*p + p = 59, 2*p = 5*i - 230. Let u = -22 + 45. Calculate the remainder when i is d