t s(t) = t**2 + 3*t + 3. Let g = 4 + -6. Calculate the remainder when 2 is divided by s(g).
0
Let j = -9 - -4. Let f(k) = k**2 - k - 4. Suppose 4*p - p - 27 = 0. Calculate the remainder when f(j) is divided by p.
8
Suppose 220 = -2*v + 13*v. Calculate the remainder when 76 is divided by v.
16
Let i(u) = u**2 - 2*u + 4. What is the remainder when 83 is divided by i(6)?
27
Suppose y - 63 = -2*n - 2*n, n - 133 = -2*y. Calculate the remainder when y is divided by 20.
7
Suppose -3*k = -5*u - 2, 55 - 8 = 3*k + 4*u. Calculate the remainder when 42 is divided by k.
6
Let w(g) = 6*g**2 + 5*g + 4. What is the remainder when 64 is divided by w(-2)?
10
Suppose u - 4*u = -258. Let b(r) = -28*r**3 + 2*r**2 - 1. Calculate the remainder when u is divided by b(-1).
28
Suppose 3 = -2*m + 1, -f - m = -21. What is the remainder when 3/(-12) + (-338)/(-8) is divided by 3/((9/f)/3)?
20
Suppose -2*d = -4*d + 8. Let m(v) = d*v - 2*v - 2*v**2 + 4*v**2 + 7 - 5*v. What is the remainder when m(5) is divided by 22?
20
Let w(n) = -3*n - 44. What is the remainder when 33 is divided by w(-17)?
5
Suppose g = 2*v + 15, -5*g + 45 = -3*g + v. Calculate the remainder when 143 is divided by g.
17
Suppose -2*s + 66 = -l, 4*s + 0*l = -2*l + 132. Calculate the remainder when s is divided by ((-1)/(-2))/(2/48).
9
Suppose -4*k + 15 = k. Calculate the remainder when 11 is divided by k.
2
Suppose x = -0*x - 4*s - 13, -s - 10 = -2*x. Suppose x*t = -0*t + 159. What is the remainder when t is divided by 14?
11
Let u(r) = -2*r - 40. What is the remainder when 2 is divided by u(-21)?
0
Let t be (-23)/2*(-1 - -5). Suppose 0*g = 3*d + g - 15, 4*d - 4*g = 4. What is the remainder when t/(-8) + (-3)/(-12) is divided by d?
2
Let c(g) be the second derivative of -g**4/12 + 5*g**3/2 + 11*g**2/2 - 6*g. Calculate the remainder when c(15) is divided by 0 - (-1 + -1) - -5.
4
Suppose v = -2*c, -3*v - v = -3*c. Suppose c = -3*h - p + 22 + 57, 0 = 2*h + 2*p - 58. Calculate the remainder when h is divided by 13.
12
Suppose -2*u = 2*j + u - 7, -5*j + 70 = -3*u. Let o = 13 - j. Calculate the remainder when o is divided by 2.
0
Let b(v) = -8*v - 7. What is the remainder when b(-10) is divided by 19?
16
Let l = -65 - -131. Calculate the remainder when l is divided by 23.
20
Let h(y) = -y**3 + 2*y**2 + y + 2. Let l(m) = 2*m - 2. Let u be l(2). Let c(d) = -d. Let t be c(u). Calculate the remainder when 31 is divided by h(t).
15
Suppose -33 + 9 = -2*k. What is the remainder when 57 is divided by k?
9
Let u(w) = w + 10. What is the remainder when 25 is divided by u(5)?
10
Let f(j) = -j**2 - 5*j + 2. What is the remainder when 30 is divided by f(-3)?
6
Calculate the remainder when 60 is divided by 3*116/12 - 3/(-1).
28
Suppose -5*s + 115 + 480 = 0. What is the remainder when s is divided by 30?
29
Let y be 3244/18 - (-6)/(-27). Calculate the remainder when 23 is divided by y/(-50)*(-20)/6.
11
Let z(n) = -n**2 - 7*n + 8. What is the remainder when 26 is divided by z(-7)?
2
Suppose 2*p - 85 = -t, 0 = -3*p - 3*t - 0 + 129. Calculate the remainder when p is divided by 9.
6
Let x(m) = 4*m + 35. What is the remainder when 133 is divided by x(0)?
28
Suppose -d = k - 18, d - 66 = -3*d - 2*k. Suppose 0 = -4*n + 12 + 16. Calculate the remainder when d is divided by (0 - -1) + 0 + n.
7
Suppose -2*l = -2*z + 3*l - 14, 3*z - 5*l + 11 = 0. Suppose 4*b + 47 = n, -n - z*b + 63 = b. Calculate the remainder when n is divided by 19.
17
Let m be (-3)/(-8)*-2*-20. Let y = m + -3. Calculate the remainder when 23 is divided by y.
11
Suppose 0 = -t - 2 - 2, -3*a - 42 = 3*t. Calculate the remainder when (-460)/4*4/a is divided by 16.
14
Let s = 34 + -23. Calculate the remainder when 43 is divided by s.
10
Let t(p) = -p**3 + 8*p**2 - 5*p + 4. Let v(o) = -6*o**3 - 2*o. Calculate the remainder when v(-2) is divided by t(7).
16
Suppose -11 = -3*u - 4*t + 54, 4*u = -t + 78. Calculate the remainder when u is divided by 7.
5
Let b(i) = -i**3 + 4*i**2 + 5*i + 3. What is the remainder when 65 is divided by b(-2)?
14
Suppose 3*r = -1 + 40. What is the remainder when 49 is divided by r?
10
Let m(w) = -w**3 - 3*w**2 - 4*w - 6. Let f(l) = l**3 + 13*l**2 - 17*l - 29. What is the remainder when m(-5) is divided by f(-14)?
12
Suppose -4 = 3*m - 5*m. Calculate the remainder when 190/60 - 2/12 is divided by m.
1
Suppose 2*r = 2*p + r - 201, 3*p + 3*r = 324. Calculate the remainder when p is divided by 21.
19
Suppose 2*s + 80 = 7*s - j, 80 = 5*s + 5*j. Calculate the remainder when 35 is divided by s*((-22)/(-8) - 2).
11
Suppose -2 = 2*c - 0. Let q = -22 - -36. Calculate the remainder when q is divided by c*(2 - -8)/(-2).
4
Let f = -7 - -16. Calculate the remainder when 53 is divided by f.
8
Let f = 37 - 52. Calculate the remainder when 19 is divided by (-2 + (-24)/f)*-25.
9
Let u = 30 + -25. What is the remainder when 8 is divided by u?
3
Let d = 1 - -2. Suppose -d*f - 2*f + 50 = 0. Suppose -3*s - 2*s = -3*w + f, -5*s + 70 = 5*w. What is the remainder when 18 is divided by w?
8
Suppose -20*x = -469 - 951. Calculate the remainder when x is divided by 16.
7
Let z = 9 - 5. Let p = z - 1. Suppose 4*n = p*n + 3*j + 10, 2*j + 9 = n. What is the remainder when n is divided by 3?
1
Let j = 0 - 10. Let h = -8 - j. Calculate the remainder when (1/3)/(h/30) is divided by 3.
2
Let i = -151 + 156. Calculate the remainder when 10 is divided by i.
0
Suppose 15*r + 205 = 20*r. Calculate the remainder when r is divided by ((-14)/5)/(2/(-10)).
13
Let a = 22 - 16. Let s(t) = t**2 + 11*t + 2. Let o be s(-12). Suppose 20 = 2*w - o. Calculate the remainder when w is divided by a.
5
Suppose -3*r = -4*q - 4, 0*q + 12 = -2*q + 4*r. What is the remainder when 6 is divided by q?
0
Suppose -2*f + 35 = 5. Let n = -5 + f. What is the remainder when n is divided by 4?
2
Let j = -11 - -17. What is the remainder when 1/1 + 105/5 is divided by j?
4
Suppose o - 5*i - 15 = 0, 0 = 3*o - 2*i + 6*i - 83. What is the remainder when 48 is divided by o?
23
Let u(o) = o**2 + 3*o + 4. Let s be u(-6). Suppose 0 = -3*n - 7 + s. Calculate the remainder when 18 is divided by n.
3
Let s(v) = -59*v**3 + v**2 + v + 1. Let j be s(-1). Let u = j - 36. What is the remainder when 95 is divided by u?
23
Let o(c) = -5*c - 1. Let x be o(-2). Let h(k) = 7 - x*k + 7*k**2 - k**2 + k**3 - 2. What is the remainder when h(-7) is divided by 7?
5
Suppose 0 = m - 4*g + 13, m - 2*g + 0*g + 5 = 0. What is the remainder when 30*(12/8)/m is divided by 8?
7
Let i(s) = -s**2 - s + 4. Let f be i(-3). Let y(p) = -4*p**3 - p**2 - p - 1. Calculate the remainder when y(f) is divided by 10.
9
Let j(v) be the second derivative of -1/2*v**3 + 0 - v**2 + v. What is the remainder when j(-5) is divided by 7?
6
Suppose 3*r - 4*u = u + 31, -3*r + 26 = -4*u. Suppose r*o = -o + 117. What is the remainder when o is divided by 20?
19
Suppose -23*z = -30*z + 91. What is the remainder when 44 is divided by z?
5
Let h(n) = -n**3 + 6*n**2 - 6*n. Calculate the remainder when 15 is divided by h(4).
7
Suppose 5*o + 9 = 3*z + 63, -4*o + 2*z = -42. Calculate the remainder when o is divided by 3.
0
Let t = 4 + -1. Suppose 4*j - t - 5 = 0. Suppose -3*x = -0*x - 6. Calculate the remainder when x is divided by j.
0
Suppose -5*k = -4*o + 301, 5*o + k = 403 - 34. What is the remainder when o is divided by 25?
24
Suppose 0*b - 3*j = b, 3*j + 3 = 0. Let n = b - -6. Suppose 0 = -4*s + s + 72. Calculate the remainder when s is divided by n.
6
Suppose -35 - 19 = -2*l. Calculate the remainder when 78 is divided by l.
24
Suppose -3*s + 3 = -k + 2, 5*k - 35 = -5*s. Let z be (24/18)/(s/21). Suppose x - 38 + z = 0. What is the remainder when x is divided by 13?
11
Suppose 15 - 11 = 4*w, 268 = m - 4*w. Calculate the remainder when m is divided by 55.
52
Suppose -2*c + 5*z + 5 = 0, -4*z + 2*z = -2. Calculate the remainder when c is divided by 5.
0
Let p be 3/(-2) + 92/(-8). Let i = 9 + -5. Let o = i - p. What is the remainder when o is divided by 9?
8
Let m = 18 - 13. Suppose -52 = -m*u + 18. Calculate the remainder when u is divided by 1 + 1 + 0 + 3.
4
Let l = 46 - -12. What is the remainder when l is divided by 15?
13
Let x = 9 - 3. Let r be 28/x + 1/3. Suppose -o - r = 0, 3*o - 12 = y - 30. What is the remainder when 4 is divided by y?
1
Let k(z) = 7*z + 30. Calcula