e the remainder when c(o) is divided by 12.
10
Suppose 17*u - 16*u = 90. What is the remainder when u is divided by 31?
28
Suppose -19*l + 1892 = 543. Calculate the remainder when l is divided by 25.
21
Let c be 3 + (1 - 0)*-1. Suppose -5*l - 2*d = -47, 2*l - 4*l + 20 = c*d. What is the remainder when l is divided by 5?
4
Suppose -3*g = -3*m - 96, -2*g = -3*g - 3*m + 20. What is the remainder when g is divided by 11?
7
Suppose -30*n - 81 = -39*n. Suppose -2*l + 2 = 0, -2*c - 4*l + 15 + 23 = 0. What is the remainder when c is divided by n?
8
Suppose 4*b - 4*r = r + 101, -5*b + 148 = r. Calculate the remainder when b is divided by 6.
5
Suppose 0 = -4*f + 3*v + 158, 0 = f - 0*f - 3*v - 35. What is the remainder when f is divided by 22?
19
Let h(n) = -13*n. Let a be h(-5). Suppose -4*r = -191 - a. Calculate the remainder when r is divided by 22.
20
Suppose -2*h + 2 = -2. Suppose 0 = 4*v - 6*z + h*z - 8, -v - 5*z + 2 = 0. Calculate the remainder when 3 is divided by v.
1
Suppose -7*u + 11 = -3. What is the remainder when u is divided by 1?
0
Let w = 11 - 6. Suppose -w*u + 4 + 41 = 0. What is the remainder when 16 is divided by u?
7
Suppose 2*y + 270 = 5*o, 5*y + 156 = 5*o - 114. Calculate the remainder when 215 is divided by o.
53
Let i(m) = -m**2 - 14*m - 24. Calculate the remainder when i(-10) is divided by 5.
1
Let l(b) = -4*b + 6. Suppose -8 + 3 = a. Suppose 32 = 4*m + 3*q + q, -19 = -2*m + q. Calculate the remainder when l(a) is divided by m.
8
Suppose -479 = -3*y - 2*v + 121, -4*v - 582 = -3*y. Calculate the remainder when y is divided by 20.
18
Let v(u) = -3*u - 8. Suppose i - 149 = l - 5*l, -l = i - 35. Calculate the remainder when l is divided by v(-6).
8
What is the remainder when 85 - (4*-4)/4 is divided by 23?
20
Suppose c = -c - 6, 4*i = 5*c + 15. Suppose -3*u + 33 = -i*u. What is the remainder when 30 is divided by u?
8
Let c(d) = -d**3 - 4*d**2 + 5*d - 7. Let g be c(-6). Suppose -3*h = 2*h - g. Calculate the remainder when 20 is divided by h.
6
Let a(l) = -3*l**2 - 17*l - 9. Let m be (10/4)/((-5)/10). Let q = -3 - m. Calculate the remainder when q is divided by a(-5).
0
Let o = 383 + -266. Calculate the remainder when o is divided by 24.
21
What is the remainder when (-9)/((-18)/40) - -1 is divided by 6?
3
Let o(p) = p + 31. Calculate the remainder when 36 is divided by o(-12).
17
Suppose 20 = -4*q, -4*m + m + 4*q = -713. Calculate the remainder when m is divided by 58.
57
Suppose -3*r - 4*q + 23 = 0, -2*r = -7*r - 5*q + 35. What is the remainder when 16 is divided by r?
1
Suppose -21 = 2*w + 2*w + 3*c, 0 = -3*w + 4*c - 22. Suppose 7*q - 3*q - 56 = 0. Calculate the remainder when (-36 - 3)/(w/4) is divided by q.
12
Suppose 7*c - 2 = 6*c. Let p be (12/10)/((-3)/(-10)). Calculate the remainder when c is divided by -2*(-1 - (-2)/p).
0
Let t = -44 - -48. Calculate the remainder when 5 is divided by t.
1
Suppose w + 12 = 2*s + 2*s, -5*s - 5*w = -15. Suppose 33 = a + 2*a. Let d = a - 4. What is the remainder when d is divided by s?
1
Calculate the remainder when 14 is divided by (8 - 9)*-1*9.
5
Let a(g) = -6*g + 16. Let c be a(13). Let x = c - -168. Calculate the remainder when x is divided by 27.
25
Let g = 0 + -1. Let v = -27 + g. Let f = 44 + v. What is the remainder when 47 is divided by f?
15
Let i(x) = -2*x - 26. Let c(s) = 4*s + 5. What is the remainder when c(6) is divided by i(-18)?
9
Let s(o) = o**3 + 6*o**2 + 3*o + 1. Let t be s(-3). Suppose t = 3*l - 20. Let q(h) = h + 1. What is the remainder when l is divided by q(6)?
6
Let d(v) = 3*v - 2. Calculate the remainder when 63 is divided by d(6).
15
Let u = 24 + -17. Let s(f) = -f**2 + 9*f + 6. Calculate the remainder when s(u) is divided by 7.
6
What is the remainder when 52 is divided by 552/20 - ((-18)/(-15))/(-3)?
24
Let a = 7 + -6. Calculate the remainder when 30 is divided by a/(-2)*-26 - -3.
14
Let m(n) be the third derivative of -n**4/2 + n**2. Calculate the remainder when 47 is divided by m(-1).
11
Suppose 2*n = -17 + 43. Calculate the remainder when 36 is divided by n.
10
Let f(k) = k + 1. Suppose 0 = 5*o - i - 20, 4*o - 2*i = 2*o + 16. Calculate the remainder when f(o) is divided by 2.
0
Suppose -u + 7 + 6 = 0. What is the remainder when 49 is divided by u?
10
Let g(n) = n**3 - 11*n**2 - 24*n - 25. Calculate the remainder when 4 is divided by g(13).
0
Let c(m) = -m**2 + 3*m + 4. Let z be (3/6)/(1/(-14)). Let v(i) = -i**2 - 6*i + 10. Let y be v(z). What is the remainder when 11 is divided by c(y)?
3
Let u(d) = d**3 + 6*d**2 - 11*d - 5. Calculate the remainder when u(-6) is divided by 21.
19
Suppose -5*c - 2*w = -0*c - 6, 5*w = 4*c - 18. Suppose o - 7 = c. What is the remainder when 17 is divided by o?
8
Let i(d) = d**2 - 3*d + 4. Let n be i(4). What is the remainder when (-52)/n*-2 - 3 is divided by (-4)/(1*(0 + -1))?
2
Let d = -7 - -13. What is the remainder when d is divided by (3/(-3))/(-1) + 1?
0
Let y(k) be the first derivative of 5*k**2/2 - k - 1. Calculate the remainder when 27 is divided by y(3).
13
Suppose -6*d + 365 = 23. Calculate the remainder when d is divided by 10.
7
Suppose 2*t - 64 = -5*n, 2*t - 16 = -2*n + 12. Suppose 0 = -q - q - r + 39, 3*r - 29 = -2*q. What is the remainder when q is divided by n?
10
Suppose -y - 4*i - 2 + 4 = 0, 3*i = 3*y - 36. What is the remainder when 28 is divided by y?
8
Let t = 36 - 21. What is the remainder when 44 is divided by t?
14
Let l = -57 + 96. Suppose -g + l = 3*q, -5*q + 24 + 45 = 3*g. Calculate the remainder when 46 is divided by 195/q + 1/(-4).
14
Suppose -n = 2*j - 46 + 1, 0 = j + n - 24. Suppose -2*o + 7*o - 4*w = 72, -o + 3*w = -j. Let p = -6 + 13. Calculate the remainder when o is divided by p.
5
Let h(n) = -n**3 - 16*n**2 - 16*n - 1. Suppose 0 = 3*a - r - 86, -a + 0*r + 3*r = -42. Calculate the remainder when a is divided by h(-15).
13
Suppose -63 = -3*l + 3. Let s(h) be the second derivative of 11*h**5/20 + h**4/6 - h**3/6 + 9*h. Calculate the remainder when l is divided by s(1).
10
Let t = 0 + 0. What is the remainder when 27 is divided by (-45)/(-6)*(t - -2)?
12
Calculate the remainder when 8 is divided by -1 + 2 - (21 - 26).
2
Suppose -9 = 3*i - 33. Let r = 23 - i. What is the remainder when 28 is divided by r?
13
Suppose 6*k = k + 70. What is the remainder when 2 + 2 + 39 + -2 is divided by k?
13
Suppose -h - m = 11, 0 = -4*h - 2*m - 65 + 23. Let b = h + 16. Calculate the remainder when 11 is divided by b.
5
Let f = 16 - 14. What is the remainder when f is divided by 2?
0
Suppose 2*w = 4*w - 34. Calculate the remainder when 2 - -1 - (-1 - 28) is divided by w.
15
Let u be -1 + (0 - -7) + -1. Suppose -2*h + 13 = u. What is the remainder when 6 is divided by (-1 - 5)*h/(-6)?
2
Let l be (4 - 2)*3/(-2). Let k be 2*3*3/l. What is the remainder when (57/2)/(k/(-8)) is divided by 13?
12
Let h = 85 + -59. Let z be (-6)/(-4)*24/9. Suppose c - 45 = -z*c. Calculate the remainder when h is divided by c.
8
Suppose -2*f - 4*k = -f - 50, -2*f + 80 = 4*k. Suppose -2*p + 11 = 5*o, 4 = -7*o + 3*o. What is the remainder when f is divided by p?
6
Let o(f) = -31*f**3 + 5*f**2 + 1. Let w(k) = -k**3 + k**2. Let q(r) = -o(r) + 5*w(r). Suppose 1 - 2 = -x. What is the remainder when q(x) is divided by 9?
7
Suppose f = 2*f - 97. Calculate the remainder when f is divided by 14.
13
Suppose x - 3*x + 18 = 0. Suppose f = -f + 30. What is the remainder when ((-264)/x)/(-4)*6 is divided by f?
14
Let f be 7/((-21)/6) + 10. Suppose 5*v = -0*n - 2*n + 9, 4*v - 65 = -5*n. Calculate the remainder when n is divided by 15*(f/12 + 0).
7
Suppose 5*r - 15 = 20. Let g = r - 4. Suppose -19 = -6*d + 23. Calculate the remainder when d is divided by g.
1
Suppose -h + 3*h - 6 = 0. Suppose -2 = h*v - 5. Calculate the remainder when v is divided by 1.
0
Suppose -k + 5*c = 10, -2*k - 3*k + 19 = -2*c. Suppose 6 = k*p - 4. What is the remainder when 7 is divided by p?
1
Let y(s) = s**2 - 8*s + 6. What is the remainder when y(9) is divided by 6?
3
Suppose v = 1 + 3, 2*v = 4*n - 44. Calculate the remainder when n is divided by 5.
3
Let s(z) = -z**2 + 8*z + 6. Suppose 4*g = -108 - 148. Let d be 2/(-5) - g/10. Calculate the remainder when s(d) is divided by 10.
8
Let i(f) = f + 20. Calculate the remainder when i(9) is divided by 19.
10
Suppose 0 = 5*x - 16 -