y = 5*w. Calculate the remainder when c is divided by 14.
12
Let b(v) = -14*v + 26. What is the remainder when b(-4) is divided by 22?
16
Suppose 17*r - 20*r + 45 = 0. Let a = 24 + -15. Calculate the remainder when r is divided by a.
6
Let a = 53 - -3. Calculate the remainder when 167 is divided by a.
55
Suppose -3*n - 2 = -2*n. Let r = 12 + n. Calculate the remainder when 28 is divided by r.
8
Suppose 6*n - n - 30 = 0. Let v = 4 + 11. Let q = n + v. What is the remainder when q is divided by 11?
10
Suppose 1337 = 10*d + 317. What is the remainder when d is divided by 15?
12
Let g(d) = 30*d**2 - 2*d - 1. Calculate the remainder when g(2) is divided by 29.
28
Suppose 4*s + 5*v - 18 = 120, 2*s - 62 = v. Calculate the remainder when s is divided by 11.
10
Suppose 2*n - 2*h - 10 = 0, 3*h + h = 0. Let i(z) = z**3 + 7*z**2 + 7*z + 9. Calculate the remainder when n is divided by i(-6).
2
Let u(r) = -6*r - 4. Let z(g) = 4*g + 1. Let k(p) = -p**2 - p. Let y(n) = -k(n) - z(n). Calculate the remainder when u(-6) is divided by y(6).
15
Let k = -3 - -5. Suppose j + 0 - k = 0. Suppose -j*s = z - 24, 25 = -8*s + 3*s. What is the remainder when z is divided by 18?
16
Let d = -11 - -32. Suppose d + 1 = 2*r. What is the remainder when 30 is divided by r?
8
Let m(a) = -16*a - 8. Let h be m(-6). Suppose h = 2*b + 2*b. Suppose 3*q = 3*w + 21, -4*w = -3*q + q + b. What is the remainder when 4 is divided by q?
1
Suppose 0 = 2*q + 6, -3*q = 5*u - 4*q - 23. Let z = u - -3. Suppose 2*o = 3*m - 15, m + 2 = 2*o + 11. What is the remainder when z is divided by m?
1
Let r(a) = 2*a**3 - 4*a**2 - a + 1. Let n(m) = -m**2 + 4*m. Let u be n(3). Calculate the remainder when 78 is divided by r(u).
14
Let q(p) be the second derivative of -p**4/12 + p**3/3 + 2*p**2 - 2*p. Let f be q(5). Let h = f + 46. Calculate the remainder when h is divided by 12.
11
What is the remainder when 109 - (3 - ((-1 - 1) + 6)) is divided by 28?
26
Let k = 37 - 18. Suppose 3*c - 81 = 27. What is the remainder when c is divided by k?
17
Let x = -12 + 18. What is the remainder when 22 is divided by x?
4
Let k(c) = -c**2 - 7*c - 3. What is the remainder when (3 - -15 - 1) + 3 is divided by k(-5)?
6
Let i(y) = -y**3 - 7*y**2 - 8*y + 7. Calculate the remainder when i(-8) is divided by 34.
33
Let y(a) = -18*a - 14. What is the remainder when y(-6) is divided by 32?
30
Let b(s) = 11*s - 10. Let z be b(13). Suppose 0 = -5*f + z - 8. What is the remainder when f is divided by 7?
4
Let r be 4/(-12) - (-237)/9. Suppose -4*c + 53 = 5*u, -5*u + 13 = -3*c - r. Calculate the remainder when u is divided by 3.
0
Suppose 3*o - 5*v + 21 = 0, -25 = 2*o + 3*o - 5*v. Let p be (-20)/o*(-1)/2. Let m = p + 8. Calculate the remainder when 9 is divided by m.
0
Suppose 6*w = 3*w + 3. What is the remainder when 21 is divided by w?
0
Suppose 0 = 2*h + 3*b + 17, -3*h - b = h + 9. Let i(t) = -9*t - 3 - t + 2 + t. Calculate the remainder when 15 is divided by i(h).
7
Calculate the remainder when 16/(-40) + (-644)/(-10) is divided by 22.
20
Let k = -3 - -6. Suppose 4*i + 24 = 2*l, 4*i + 13 = l + i. Calculate the remainder when l is divided by k.
1
Suppose 8*t = 10*t. Suppose -o + 7 = -t*o. What is the remainder when o is divided by 5?
2
Suppose -39*y + 25*y + 826 = 0. Suppose -5*t + 5*o + 90 = 0, 10 = 2*o + 3*o. What is the remainder when y is divided by t?
19
Let q = -4 + 7. Let l = q + -8. Let a(p) = 2*p**2 + 6*p - 4. Calculate the remainder when 30 is divided by a(l).
14
Suppose -7*y + 2*y + 130 = 0. Suppose 9*p - 8*p = 2*q - 105, 5*q - 243 = -4*p. Calculate the remainder when q is divided by y.
25
Suppose 0 = r + 2*f - 25, -3*r + 4*f + 0*f = -115. Let s = -14 - -18. Suppose s*z - 23 = r. What is the remainder when 40 is divided by z?
12
Let v(f) be the third derivative of f**4/24 + 2*f**3/3 + 3*f**2. Let q = -19 - -35. What is the remainder when q is divided by v(5)?
7
Let c(d) = -7*d**2 + 4 - 2 - 4 + 4*d - 2*d. Let l(k) = -k**2. Let b(g) = -c(g) + 6*l(g). What is the remainder when b(6) is divided by 14?
12
Let k = 53 + -23. Calculate the remainder when k is divided by 16.
14
Let t = -20 - -30. Calculate the remainder when 37 is divided by t.
7
Let c = 4 - 2. Suppose -c*y = -19 - 25. What is the remainder when y is divided by 8?
6
Suppose 6 = o - 0. Let s(d) be the first derivative of 5*d**3/3 - 3*d**2/2 + 2*d + 2. What is the remainder when s(2) is divided by o?
4
Let p be 0 - 0 - (-4)/2. Suppose -p*f = -5 - 17. Calculate the remainder when f is divided by 6.
5
What is the remainder when 864/15 - 2/(-5) is divided by 15?
13
Suppose 0 = l + 3*l - 44. Suppose -4*f + 41 = -l. What is the remainder when 36/1 + (1 - -1) is divided by f?
12
Suppose -2*v = 2 - 54. What is the remainder when 50 is divided by v?
24
Suppose -3*q = -17 - 58. Let v = -13 + q. Calculate the remainder when 33 is divided by v.
9
Let i = 166 - 112. Suppose 0 = u + 5 - i. What is the remainder when u is divided by 13?
10
Let c = 54 - 29. Suppose 0 = -5*o + 4*b + 161, -c + 193 = 5*o + 3*b. Calculate the remainder when o is divided by 17.
16
Suppose -3 = 5*y - 18. Suppose -2*b + 1 = -2*n + 7, 0 = 5*n + 3*b - 23. Calculate the remainder when (-84)/6*(-2)/n is divided by y.
1
Let w = 106 + -88. Calculate the remainder when 27 is divided by w.
9
Let p = 16 - 8. Suppose 0 = 2*z - 6, z - 21 = -3*u - 2*z. Suppose -2*f - 25 = -5*y, 2*y + 0*y = -u*f - 14. What is the remainder when p is divided by y?
2
Let p = 19 - -2. Let f = 38 + p. Calculate the remainder when f is divided by 20.
19
Let m(h) = -5*h - 26. Calculate the remainder when m(-17) is divided by 20.
19
Suppose -373 = -4*t + 5*a, t + a - 197 = -t. Calculate the remainder when t is divided by 25.
22
Let u be 3 + -1 - (-3 + 3). Calculate the remainder when 28 is divided by (-2 + 32)*1/u.
13
Suppose -k - 6*n = -n - 58, 4*n - 146 = -2*k. Let x = -35 - -52. Calculate the remainder when k is divided by x.
15
Let i(v) = -v**3 + 3*v**2 - 2*v - 6. What is the remainder when 89 is divided by i(-2)?
17
Let g(x) = 16*x**2 - 51*x + 75. Let n(v) = 3*v**2 - 10*v + 15. Let f(l) = -2*g(l) + 11*n(l). What is the remainder when 9 is divided by f(6)?
0
Let l = 33 - -26. Suppose -o = -l + 5. Calculate the remainder when o is divided by 14.
12
Let b = 105 + -58. Let k = -8 + 11. Suppose -5*l + 2*q + 74 = 0, l - 58 = -k*l + 2*q. Calculate the remainder when b is divided by l.
15
Let g = 117 - 102. Suppose 1 = -3*y + 25. Calculate the remainder when g is divided by y.
7
Suppose -3*o + 6*o - 237 = 0. Calculate the remainder when o is divided by 27.
25
Let b be 24/(-10)*(-210)/(-12). Let y = b + 63. Calculate the remainder when 62 is divided by y.
20
Suppose 2*k + 3 = 5*v, -4*k = 4*v - 0*k - 8. Calculate the remainder when 3 is divided by v.
0
Calculate the remainder when 69 is divided by 1 + 0 + 4 + 14.
12
Suppose 8*d - 5*v - 25 = 3*d, -d - 3*v = -5. Suppose 20 = -4*o, 2*o = 2*t + 7*o + 21. Suppose 0 = y - t. What is the remainder when d is divided by y?
1
What is the remainder when 88 + (1 - 9/3)/2 is divided by 13?
9
Let l(h) = 3*h + 18. Calculate the remainder when l(7) is divided by 21.
18
Let a be (-1)/1*(-1 + -4). Suppose w - 25 = d, 0*w = -2*w + a*d + 62. What is the remainder when w is divided by 12?
9
Suppose -13*x + 59 = 7. What is the remainder when 14 is divided by x?
2
Suppose 0 = 3*z + 4*u + 56, -5*z + 2*z - 3*u - 54 = 0. Let y = -10 - z. Calculate the remainder when 9 is divided by y.
3
Suppose -87 = -4*q - 4*u + 3*u, -89 = -4*q + u. Suppose 5*l = l + 256. Calculate the remainder when l is divided by q.
20
Suppose -3*q - 48 = -2*y + q, -y = 4*q + 6. Calculate the remainder when 111 is divided by y.
13
Suppose 2*t - 54 = 56. Let b(c) = -18*c + 3. Let k be b(-4). Suppose s + k = 3*f + 2*f, 0 = -5*f - 3*s + t. What is the remainder when 41 is divided by f?
13
Let l = -2 + 12. Calculate the remainder when 49 is divided by l.
9
Let p = -18 - -26. What is the remainder when p is divided by 2?
0
Let s = -19 - -226. Calculate the remainder when s is divided by 21.
18
Let q = -85 - -151. Suppose 2*v + 6 = 4*v, 2*v = -2*m + 40. Calculate the remainder when q is divided by m.
15
Suppose r - 131 - 61 = -y, -2*r = 4*y - 376. Suppose 82 = -2*s - 2*q + r, 0 = -5*q + 15. Calculate the remainder when s is divided by 14.
12
Let s be 0 -