 = m**2 + 6*m + 11. Let h be w(-5). Suppose n = h*n - 105. Calculate the remainder when 61 is divided by n.
19
Let v = 0 + 1. What is the remainder when 42/28*(-3 + 5) is divided by v?
0
Let t(m) = -52*m + 8. Let r be t(13). Let s be r/(-8) - 2/(-4). Suppose 5*b - s = 261. Calculate the remainder when b is divided by 14.
13
Let q be 1/(2 - (-5)/(-3)). Suppose -3*u + 138 = 8*s - q*s, 0 = -4*u - 16. Let j(f) = f + 3. What is the remainder when s is divided by j(5)?
6
Let y be (-1)/2*0/(-12). Suppose 41 = g - y*g. Suppose 19*z - 16*z - 45 = 0. Calculate the remainder when g is divided by z.
11
Let s be 15/(-30) - 114/(-4). Suppose 0 = -5*a - s + 123. Calculate the remainder when 51 is divided by a.
13
Let l = 60 - 26. Let y = 36 - 36. Calculate the remainder when (4 + -3 + y)*l is divided by 7.
6
Suppose 0 = -4*o - 7 + 3, 5*u + 3*o - 27 = 0. Suppose -3*t + u*t = 189. Calculate the remainder when t is divided by 13.
11
Suppose 150*q - 157*q + 126 = 0. Calculate the remainder when q is divided by 5.
3
Suppose 3*m + 171 = 3*z, 2*m - 6*m = -3*z + 172. What is the remainder when 271 is divided by z?
47
Let n = 95 + -56. Calculate the remainder when 112 is divided by n.
34
Let j(l) = -11*l - 12. Suppose 5*w - 26 = 4. What is the remainder when j(-3) is divided by w?
3
Let t = -40 - -34. Calculate the remainder when 65 is divided by 25 + (12/8)/(t/8).
19
Suppose -5*t + 3*b - 5*b + 83 = 0, 5*t + 4*b = 91. Calculate the remainder when 432 is divided by t.
12
Suppose -4*s + 6*s - 259 = 5*o, -137 = -s + o. Let x = s - 27. What is the remainder when x is divided by (-279)/(12 - 21) - -8?
37
Let c(q) = 89*q - 1. Suppose -4*l - 4*s - 6 = 6, -2*l - 5*s = 18. Let t be c(l). Suppose 8*o = 4*o + t. Calculate the remainder when o is divided by 13.
9
Let o(h) = -3*h + 21. Suppose -3*v - 9 = -2*v + k, v - 3 = 5*k. What is the remainder when o(v) is divided by 22?
20
Suppose -6*m = -2*m - 352. Calculate the remainder when (m/(-10))/(14/(-35)) is divided by 13.
9
Let v(j) = -4*j - 1. Let z be v(-2). Let x(t) = -5*t**2 + z*t**2 + 11*t**3 - 3 - 4*t**2 + 4*t - t**2. What is the remainder when x(2) is divided by 14?
11
Suppose -5*h + 0*h + 70 = 0. Let v = h + -11. Suppose -d + 0*d + 5*g = 13, -2*d + v*g + 9 = 0. Calculate the remainder when 47 is divided by d.
11
Let t = -1 + 1. Suppose 5*l = -t*l + 135. What is the remainder when l is divided by (-11)/3 + 4 + (-304)/(-24) - -2?
12
Suppose 43*x - 342 = 389. Calculate the remainder when 114 is divided by x.
12
Suppose -336 = -15*j - 13*j. Let z(k) = 8*k + 5. What is the remainder when z(5) is divided by j?
9
Let c(k) = -k**3 - 11*k**2 - 2*k - 4. Let f be (-3 - (2 + -4))*-3. What is the remainder when c(-11) is divided by 3 + (1 - f) + 10?
7
Let o(u) = 2*u - 41. Let x be o(0). Let s = x - -53. Calculate the remainder when s is divided by 7.
5
Let u = -24 + 41. Suppose 5*z + h - 35 = 0, 45 + 0 = 5*z + 3*h. What is the remainder when u is divided by z?
5
Suppose 10*b - 60 = 5*b. Let n be (-4 + 0 + 2)/(-2). Let z(x) = 20*x**2 + 2*x - 1. Calculate the remainder when z(n) is divided by b.
9
Let q(f) = f - 13*f - 3*f**2 - 2 + 5*f**2. Let r be (-1*1/(-2))/(45/630). Calculate the remainder when q(r) is divided by 5.
2
Suppose 4 = 2*o - 50. Calculate the remainder when o is divided by (-4)/(-3) + 51/9.
6
Calculate the remainder when (-140)/(-6) - 48/144 is divided by 13.
10
Let v = 29 - 10. Suppose 5*x + 5 = 0, -12 = -4*p + 3*x + v. Calculate the remainder when 19 is divided by p.
5
Let i(p) = 7*p + 135. Calculate the remainder when i(50) is divided by 4.
1
Let o(g) = -11*g - g**3 - 6*g**2 + 0 - 7*g**2 - 10 - 3. Let x be o(-12). Let n = -11 - x. What is the remainder when 27 is divided by n?
13
Suppose 5*a + 4 = 4*r, -3*a - 3*r + 3 = -4*a. Let c be (-10)/4*(2 - 70/25). Suppose a*h + 38 = c*h. What is the remainder when 54 is divided by h?
16
Suppose -43*f + 1588 = -1680. Calculate the remainder when f is divided by 16.
12
Let l(d) = 6*d**2 + 7*d + 14. Let s be l(-2). Suppose 2*a = 2*w + s, 37 = 2*a + a - 2*w. Calculate the remainder when 231 is divided by a.
10
Let f(d) = 9*d + 7. Let n be f(6). Let t be (232/(-145))/((-4)/(-10)). Calculate the remainder when 37 is divided by n/3 + t/12.
17
Let m(l) = l**3 - l + 114. Let o be m(0). Suppose 0 = -q - 1 + 6. Calculate the remainder when o/(-4)*4/(-6) is divided by q.
4
Let z(q) = q**2 - q + 1. Let j be ((-10)/4)/(6/(-12)). Suppose 0 = j*i + i - 90. Calculate the remainder when z(8) is divided by i.
12
Let a(n) be the second derivative of -n**4/12 - n. Let m(y) = 3*y**2 + 8*y - 5. Let u(b) = 2*a(b) + m(b). What is the remainder when 10 is divided by u(-9)?
2
Suppose 0 = 2*m - 3*v + 27 - 10, 0 = 5*m + 2*v - 5. Let r be -36*(-1 - m/2). Let b = r + -2. What is the remainder when 45 is divided by b?
13
Suppose 0 = -8*k + 6*k + 138. Calculate the remainder when k is divided by 9.
6
Let j = 7 - 5. Suppose -3 = -5*p + j*p. What is the remainder when 1 is divided by p?
0
Let d(o) be the first derivative of o**4/4 + 4*o**3/3 - 3*o**2 - 2*o - 2. Let n be d(-5). What is the remainder when ((-5)/3)/(n/(-9)) is divided by 2?
1
Let n = 1 - -13. Suppose 0 = 4*t - 2*t - 134. Suppose -16*q + 467 = t. Calculate the remainder when q is divided by n.
11
Suppose -412 = -10*o + 708. What is the remainder when o is divided by 40?
32
Suppose 3*n + 38 = 2*q, -5*q + 80 = -5*n - 15. Let j(o) = 4*o**2 + o + 8. Calculate the remainder when j(9) is divided by q.
18
Suppose -5*y = -7*y + 82. Suppose -4*h - q + 48 = -0*q, 5*h - 3*q = 43. Calculate the remainder when y is divided by h.
8
Let p(j) = -2*j**2 + 14*j + 5. Let b be p(7). Let o = b + -1. Let i(k) = 4*k + 5. What is the remainder when 82 is divided by i(o)?
19
Suppose -25 = -2*k - 5*r, k - 2*r + 0*r + 1 = 0. Calculate the remainder when -16*(-2 - (2 + -3)) is divided by k.
1
Let d = 313 + -245. What is the remainder when d is divided by 14?
12
Let d(k) = k**3 - 9*k**2 - 20*k - 43. Calculate the remainder when d(12) is divided by 12.
5
Suppose 2*y = -y + 12. Suppose 70 = -y*f - 2*r, 4*f + 98 - 33 = 3*r. Let u = f + 46. What is the remainder when u is divided by 8?
5
Suppose 2*g - 5*h - 244 = 0, -16 = -2*h - 2*h. Calculate the remainder when g is divided by 54.
24
Let f(h) = 3*h**2 - 6*h + 4*h - 1 + 2*h**2 - 4*h**2. Let g be f(6). Suppose 5 = -b - 4*l, -5*b + g = -2*l - 18. What is the remainder when 11 is divided by b?
4
Suppose 2*y - 3*g - 12 = 0, 6*y - 2*y + 5*g - 2 = 0. Suppose -y - 2 = -k. What is the remainder when 13 is divided by k?
3
Let b = -5 + 8. Let z(f) = 3*f**3 + f**2 + 2*f - 7. What is the remainder when z(b) is divided by 18?
17
Suppose 30 = 4*o + 5*n, -4*o - o = 4*n - 42. Let b = 4 + o. Let z = -723 - -748. Calculate the remainder when z is divided by b.
11
Let r(c) = c**2 - 4*c - 96. Let m be (0*1/2)/1. Suppose -5*t + 55 = -x, -x + 29 = 2*t - m*x. Calculate the remainder when r(-9) is divided by t.
9
Let w(x) = -x**2 + 19*x - 56. Calculate the remainder when 38 is divided by w(14).
10
Suppose -y = -4*j - 128, 2*y = -4*j + 137 + 179. What is the remainder when y is divided by 8?
4
Suppose 0 = -5*o + 3*h + 76, -4*o - 9*h + 80 = -5*h. What is the remainder when 51 is divided by o?
0
Suppose 5*r + 91 = 8*r - t, -3*r = t - 95. What is the remainder when r is divided by 11?
9
Let r(u) = -u**2 + 9*u - 20. Let a be r(17). Let h = a - -211. Calculate the remainder when h is divided by 30.
25
What is the remainder when ((-133)/210 + 6/45)*-34 is divided by 5?
2
Suppose -44 = -3*i - 2. Suppose -5*s + 8*r - 13*r = -155, 2*s - 59 = -3*r. Calculate the remainder when s is divided by i.
6
Calculate the remainder when 174 is divided by (22 + -6)*(5/4)/1.
14
Suppose 1924 = -33*z + 70*z. Calculate the remainder when z is divided by 28.
24
Let t(u) be the third derivative of u**4/6 + 8*u**3/3 + 6*u**2. What is the remainder when t(-3) is divided by 3?
1
Let t(w) = 28*w**2 + w - 20. What is the remainder when t(-3) is divided by 47?
41
Suppose -p + 8*p = 994. Calculate the remainder when p is divided by 12.
10
Suppose 3*q - 62 = -a, -2*q = -8*a + 6*a - 28. Let h = 133 + -61. Calculate the remainder when h is divided by q.
15
Let b = -57 - -53. Let o(k) = 2*k**2 + 3*k + 3. Calculate the remainder when o(b) is divided by 5.
3
Let l = -55 - -48. Let z = l + 12.