 is the remainder when 27 is divided by o?
6
Let o(x) = -x - 1. Let a = 2 + -2. Let f(p) = p + 9. Calculate the remainder when f(a) is divided by o(-6).
4
Let o(h) = -h**2 + 8*h + 11. Let c(m) = 5*m + 7. Let r be c(5). Suppose -5*u + r = -u. What is the remainder when 21 is divided by o(u)?
10
Let g = -14 + 20. Let h = -8 + 12. Calculate the remainder when g is divided by h.
2
Suppose 1 = -q - 4*k - 3, 3*q = -5*k - 19. Let v(c) = -5*c - 6. Calculate the remainder when 133 is divided by v(q).
31
Suppose -2*h + 106 = -r, 3*h + 5*r = h + 82. Calculate the remainder when h is divided by 18.
15
Suppose -5*k - 2 = -67. Let q be (-86)/(-10) + 2/5. What is the remainder when (-54)/(q/(-3))*2 is divided by k?
10
Suppose 0 = 3*v - 8 - 7. Suppose 3*n = -n. Suppose n*a + 16 = 2*a. Calculate the remainder when a is divided by v.
3
Suppose 3*y - 215 = -2*y. What is the remainder when y is divided by 12?
7
Let n = 145 - 67. Calculate the remainder when n is divided by 20.
18
Suppose -2*s = 3*b + 2*b - 14, 23 = 2*b - 5*s. Calculate the remainder when 6 is divided by b + 1/(-2)*2.
0
Suppose 5*a + 4*y = -2, 3*y + 4 + 5 = 0. What is the remainder when 6 is divided by a?
0
Suppose 0*m - m = -15. Suppose -4*b = 4, 404 = -5*k + 3*b - 2*b. Let n = 124 + k. Calculate the remainder when n is divided by m.
13
Let g(s) = 3*s - 1. What is the remainder when g(6) is divided by 5?
2
Let k be 3 - ((-4)/2 - -3). Let t be 9 - ((-2 - 0) + k). What is the remainder when (1 + (t - 0))*3 is divided by 8?
6
Let o be (-33)/9 + 2/3. Let z be (o + (-21)/(-6))*-2. What is the remainder when (1 - 4) + (21 - z) is divided by 11?
8
Suppose -2*x + 5*s = 3 + 2, -5*s - 45 = 3*x. Let o = 45 - 73. Let c = x - o. Calculate the remainder when c is divided by 7.
4
Suppose 3*r = 5*k - 76, -3*k - 100 = -8*k - 5*r. Let a = -104 - -154. What is the remainder when a is divided by k?
16
Let l(w) = w**3 + w**2 - 1. Let p(d) = 4*d**3 - 2*d**2 - 8*d - 7. Let n(a) = -5*l(a) + p(a). What is the remainder when 19 is divided by n(-6)?
9
Suppose 0 = -2*y + 5*b - 7, -4*y = -3*y - 2*b + 3. What is the remainder when (y - -18) + -5 + 7 is divided by 11?
8
Suppose -5*o - 11 = -56. Let q = 7 - o. What is the remainder when (-1)/q - 15/(-6) is divided by 2?
1
Let v(q) = -1 + 1 - 2 - 1 - 2*q. Let j be v(-6). Let c = -4 + j. Calculate the remainder when 14 is divided by c.
4
Suppose 0 = -2*n + w + 4*w + 89, 2 = -2*w. Calculate the remainder when n is divided by (8/48 + 267/18)*1.
12
Let o(c) be the second derivative of -c**5/20 - c**4/12 + 31*c**2/2 + 4*c. What is the remainder when o(0) is divided by 16?
15
Let y = 9 - 7. Suppose -15 = -b + 3*g + 13, b + 3*g = -y. Calculate the remainder when 36 is divided by b.
10
Let w(c) be the second derivative of -c**4/12 + 3*c**3/2 - 5*c**2/2 - 8*c. What is the remainder when w(6) is divided by 4?
1
Let g be (12/18)/(2/3). Let p(r) = g - 3 - 5 - 2*r + 3. Calculate the remainder when 10 is divided by p(-5).
4
Suppose -15 = -3*f, -2*f = i - 3*i - 28. Let z = i + 15. What is the remainder when z is divided by 3?
0
Let a be (-9)/3 + (-4)/(-2). Calculate the remainder when a/(-2) - 118/(-4) is divided by 8.
6
Let f(y) = -y**2 + 3*y + 2. Let l be f(4). Let z = l - 5. Let s(p) = p + 9. What is the remainder when s(z) is divided by 1?
0
Let v(i) = i**2 + 5*i - 4. What is the remainder when 28 is divided by v(-7)?
8
Let i(u) = 2*u**2 + 36*u - 5. What is the remainder when i(-20) is divided by 26?
23
Let o = 1 + 14. Suppose v = 4*k - 180, -4*k + 5*k - 28 = -4*v. What is the remainder when k is divided by o?
14
Suppose 3*y - 2*k - k = 105, -5*y = 2*k - 147. What is the remainder when y is divided by 13?
5
Let z(x) = x**2 + 6*x + 8. Suppose 2*u + 2*q + 12 = 0, 5*u - 3*q + 4*q + 34 = 0. Calculate the remainder when 29 is divided by z(u).
14
Let d(i) = i**2 - 6*i + 3. Suppose -q + 5*k - 17 = -4, -q - 5*k + 27 = 0. Calculate the remainder when q is divided by d(6).
1
Suppose 3*g + 10 = -3*d - 8, 0 = -2*g + 3*d - 32. Let x = g - -38. What is the remainder when x is divided by 1/(((-2)/(-20))/1)?
8
Let f(k) = -k**3 + 9*k**2 + 4*k - 62. Calculate the remainder when f(8) is divided by 19.
15
Suppose -4*r - 13 = -5*n - 4, -3*n = 9. Let z = r - -5. What is the remainder when 13 is divided by 30/4 + z/(-2)?
5
Calculate the remainder when (-1)/(6/22*(-7)/21) is divided by 3.
2
Let u = 8 - -9. Suppose -u*r + 80 = -12*r. What is the remainder when 45 is divided by r?
13
Let i = 34 - 14. Let w be 394/(-26) + 8/52. Let o = w - -53. What is the remainder when o is divided by i?
18
Calculate the remainder when 1/((-2)/6) - -27 is divided by 13.
11
Let d(q) = 5*q**2 + 7*q - 1. Calculate the remainder when 158 is divided by d(-3).
20
Let c = 3 + -2. Suppose c = -d, 3*x + 0 = 3*d + 3. Suppose x = -5*v - 6*a + a + 75, -v - 2*a = -15. Calculate the remainder when 28 is divided by v.
13
Suppose 0 = -2*n + 5*n - 33. Suppose 0 = p - 18 + 4. Calculate the remainder when (-262)/(-14) - p/(-49) is divided by n.
8
Let y be (-2)/(-3) + (-64)/(-12). What is the remainder when (9/y)/(3/68) is divided by 12?
10
Let c be (-2)/(-3) + 4/3. Suppose 3*n + 3*p - 4 = n, c*n = -5*p. What is the remainder when 12 is divided by n?
2
Let w(p) = 2*p**3 - 5*p**2 - 1. What is the remainder when 12 is divided by w(3)?
4
Let k(p) = -p**2 + 9*p - 6. Let h(x) = -x + 9. Let t be h(7). Suppose d = t*f - 78, -2*d = f + 1 - 45. What is the remainder when f is divided by k(5)?
12
Suppose u - 17 = -5*s, 4*u - 20 = -0*u + 4*s. Suppose j = -2*j + 195. Let o = j - 46. What is the remainder when o is divided by u?
5
Let p be 1/3*(-29 - 4). Let w(f) = -f**2 - 12*f + 4. Calculate the remainder when 44 is divided by w(p).
14
Let v be (-2)/6 + 2584/12. Suppose -j = -a - 6*j + 58, 4*a + 3*j = v. Calculate the remainder when a is divided by 18.
17
Suppose 4*q - 4 - 8 = 0. What is the remainder when 3 is divided by q?
0
Let h = -17 - -33. Suppose 16 = 2*q - h. Suppose 0 = b - 3*f - 40, 22 + 15 = b - 2*f. What is the remainder when b is divided by q?
15
Let x be ((-3)/(-2) - 2)*4. Let t(y) = -6*y - 3. Calculate the remainder when 16 is divided by t(x).
7
What is the remainder when 497/42 + (-2)/(-12) is divided by 7?
5
Suppose 4 + 28 = 4*n. Calculate the remainder when 92 is divided by n.
4
Suppose 2*l - 2 = 6. Calculate the remainder when 15 is divided by l.
3
What is the remainder when 25 is divided by 35/(-7)*(-26)/10?
12
Let c(z) = -3*z - 10. Let p be c(11). What is the remainder when (-4)/(1 + 1) - p is divided by 14?
13
Let p(g) = 2*g**3 - 4*g**2 + 2*g + 2. Let z be p(2). Let h(s) = 13 - 2 - s + 2*s + z. Calculate the remainder when 50 is divided by h(0).
16
Let p(l) = -l + 3. Let y be p(0). Let f(j) = 2*j**3 - 2*j**2 + 3*j + 4. Calculate the remainder when f(y) is divided by 17.
15
Let y(k) = k**3 + 6*k**2 - 2*k - 6. What is the remainder when 294/343*154/4 is divided by y(-6)?
3
Let j(q) = q**3 + 9*q**2 - 13*q - 21. What is the remainder when 33 is divided by j(-10)?
6
Let p = 25 - 13. What is the remainder when p is divided by 7?
5
Suppose 17 = 3*g - 1. Let z = 19 - g. Let f(h) = 2*h**3 - 4*h**2 + h + 3. Calculate the remainder when f(3) is divided by z.
11
Let o(s) = s**2 - 10. What is the remainder when o(7) is divided by 21?
18
Let o(k) = k**2 - 5*k - 3. Let b be o(6). Let x be -2*b/2*-81. Suppose 83 - x = -4*w. Calculate the remainder when w is divided by 21.
19
Let x(b) = b + 6. What is the remainder when x(22) is divided by 10?
8
Suppose -5*f - 4*t + 4 - 6 = 0, 8 = -3*f + t. Calculate the remainder when (13 - 11)*(-22)/f is divided by 12.
10
Suppose -3*p - p + 8 = 0. Let c = 318 + -485. What is the remainder when 29 is divided by c/(-11) + p/(-11)?
14
Let j = 6 - -13. What is the remainder when j is divided by 11?
8
Let a(c) = 2*c**2 - 5. Let v be a(-4). Suppose -5*l - 2*g = -37, 4*l - g - 13 = v. Calculate the remainder when 16 is divided by l.
7
Calculate the remainder when (-162)/(-10) + 44/55 is divided by 6.
5
Let f be (10/3)/(-1)*9. Calculate the remainder when 15 is divided by 44/6 - 20/f.
7
Suppose -c + w + 4 = -13, 5*c = -w + 73. What is the remainder when c is divided by 4?
3
Let i be (-3)/(-9)*3 - 43. Let b = -28 - i. Calculate the remainder when b is divided by 5.
4
Let d(k) = -k - 4. Let o be d(-9). Suppose -11 = -o*p - 3*a