 10. Calculate the remainder when y is divided by 12.
10
Suppose -p + 4*l + 10 = 0, 2*p - 4*p = -l - 27. Calculate the remainder when 40 is divided by p.
12
Let x(r) = r + 3. Suppose -2*n + 1 = -i + 3, i - 2 = -3*n. What is the remainder when x(0) is divided by i?
1
Let d = 6 - 0. Suppose -d*x + 2*x = -8. Suppose 2*g - x = g. Calculate the remainder when 5 is divided by g.
1
Let w(l) = l**3 - 2*l**2 - 2*l - 11. Calculate the remainder when w(4) is divided by 5.
3
Let x(m) = 4*m**2 - 5*m - 2. Calculate the remainder when x(5) is divided by -2*(-1 + (-69)/6).
23
Suppose 2*z - 61 - 13 = 4*d, z - 53 = -2*d. What is the remainder when z is divided by 16?
13
Suppose 2*m = -0*m + 150. Suppose -j = 4*j - m. Calculate the remainder when 28 is divided by j.
13
Let f = -33 + 60. What is the remainder when f is divided by 14?
13
Suppose -5 = -s - 0. Suppose s*o - 14 = 31. What is the remainder when o is divided by 5?
4
Let f(w) = 4*w + 11. Let j(z) = 2*z**2 - 5*z + 3. What is the remainder when f(4) is divided by j(4)?
12
Suppose 2*d - 9 = o - 0*o, 0 = 3*d + 3*o + 9. Suppose -2*k + 3 - 1 = 0. Calculate the remainder when d is divided by k.
0
What is the remainder when 71 is divided by 2*(9 + 1) + 4?
23
Let j(q) = -15*q - 19. Calculate the remainder when j(-3) is divided by 15.
11
Suppose -9 + 31 = 2*o. Suppose -j + 171 = -5*t + 3*j, -5*j - 135 = 5*t. What is the remainder when t*(4/(-2))/2 is divided by o?
9
Let i(f) = f + 3. Let j be i(3). Let a be (j/4)/(6/(-12)). Calculate the remainder when 12 is divided by (-24)/a - (3 + -2).
5
Let h = 82 + -51. What is the remainder when h is divided by 16?
15
Suppose 4*j = j + 63. Let u be 345/(-7) - (-6)/j. Let k = 75 + u. What is the remainder when k is divided by 14?
12
Let x(t) = -t**3 + 11*t**2 - 9*t + 4. Calculate the remainder when x(9) is divided by 22.
19
Let m = 56 + -27. What is the remainder when 56 is divided by m?
27
Suppose -3*t - 2*x = -23, -t = -4*t + 4*x + 35. What is the remainder when 49 is divided by t?
4
Suppose -2*g - 3*q = -0*q - 103, -3*g + 3*q = -192. What is the remainder when g is divided by 12?
11
Let w = 12 - 26. Let g = w - -26. Calculate the remainder when g is divided by 7.
5
Let z(f) = -15*f - 26. What is the remainder when 101 is divided by z(-4)?
33
Let d be 12*(0 + (-6)/8). Let x = d + 27. Calculate the remainder when 28 is divided by 266/x - 6/(-27).
13
Suppose -x - 2*x = -3. Suppose -r + 0*r - 3*u + x = 0, -3*r = u - 35. What is the remainder when 38 is divided by r?
12
Let y = -106 + 191. What is the remainder when y is divided by 30?
25
Let t(r) = 2*r**2 - 6*r + 10. What is the remainder when 69 is divided by t(4)?
15
Suppose 4*o - 183 - 89 = 0. What is the remainder when o is divided by 23?
22
Let f = 298 - 211. Calculate the remainder when f is divided by 22.
21
Calculate the remainder when (15/(-10) + 3)/((-4)/(-16)) is divided by 3*(-2)/9*-3.
0
Let z be 3 + -3*(-2)/3. Suppose -m + z*m - 46 = -5*o, 0 = 2*o - 2*m - 4. Let x = o - -1. What is the remainder when x is divided by 4?
3
Let l = -21 + 7. Suppose 4 + 18 = 2*r. What is the remainder when l*(1 + (-5)/2) is divided by r?
10
Suppose 5*c = s + 28 + 32, c = -4*s + 33. Calculate the remainder when 51 is divided by c.
12
Suppose -113 = -5*x - 43. Suppose 0 = -2*q + x + 28. Calculate the remainder when 62 is divided by q.
20
Let r(f) = -f**3 - 5*f**2 + 6*f. Let y be r(-6). Suppose y*s + 40 = 4*s. Let j(c) = -c**2 - 3*c + 4. Calculate the remainder when s is divided by j(-3).
2
Suppose -s + 4*m = -3*s + 20, 0 = -5*s + 4*m + 78. Let l = 12 - 7. What is the remainder when s is divided by l?
4
Suppose -3*j - 3*j = -72. Calculate the remainder when 57 is divided by j.
9
Let y = -71 - -97. Calculate the remainder when 179 is divided by y.
23
Suppose -3*r + 6*m - 2*m + 23 = 0, -17 = -3*r + m. Suppose 4*k - l = -k + 25, r*k + 5 = -5*l. Calculate the remainder when 11 is divided by k.
3
Let c = 7 - 4. Suppose c*m = -5*r, -18 = -3*r + 2*m + 1. Suppose 33 = r*v - 0*v. What is the remainder when v is divided by 4?
3
Let v = 0 - -4. Suppose a + 2 = -3*k - v, -4*a + 3*k = -36. Calculate the remainder when 10 is divided by a.
4
Let v(q) = -17*q. Suppose 0 = -3*z - 6. What is the remainder when v(-1) is divided by (2/(-6))/(z/54)?
8
Suppose 2 = -2*a, -5*a = 2*k + 2*k - 35. Calculate the remainder when k is divided by 5.
0
Let z be (-1)/(-3) + (-56)/6. Let k = z - -11. What is the remainder when 7 is divided by k?
1
Suppose 0 = 4*n - 6*n + 22. What is the remainder when 20 is divided by n?
9
Let g be (-42)/(2*6/8). Let d = g + 40. What is the remainder when (-1230)/(-54) - ((-40)/18 - -2) is divided by d?
11
Let i(z) = 2*z**3 + 18*z**2 - 3*z - 10. Calculate the remainder when 67/(-1)*1*-1 is divided by i(-9).
16
Let n = -63 - -112. Let c = -36 - -61. What is the remainder when n is divided by c?
24
What is the remainder when 82 is divided by (-882)/(-14)*(-1)/(-3)?
19
Let k(m) be the first derivative of m**4/4 + 7*m**3/3 + m + 2. Let d be k(-7). Calculate the remainder when 5 is divided by 1 + d + 1 + -1.
1
Let l(s) = -s**2 - 43*s - 271. Suppose -35 = -5*b + 45. Calculate the remainder when b is divided by l(-35).
7
Let b(t) = 11*t + 12. Calculate the remainder when b(5) is divided by 14.
11
Let z be (-1)/(-3) - (-14)/3. Suppose -85 = -0*n - z*n + 2*x, -5*n + 85 = -x. What is the remainder when n is divided by 9?
8
Suppose -v - 2*v - 3*l = 0, 5*v + 2*l - 6 = 0. Let i = 62 + -60. Calculate the remainder when i is divided by v.
0
Suppose 3*v + 36 + 9 = -4*l, -3*l + 60 = -4*v. Let n be v/(-6) - 2/(-4). Suppose 4 = -b + 2*b, -2*b - 40 = -n*g. What is the remainder when 30 is divided by g?
14
Let a = -4 + 7. Let w = 47 - 31. Calculate the remainder when a/(-6) - 190/(-4) is divided by w.
15
Suppose 1 = -2*m + 3. Suppose m = -4*a + 21. Suppose -d - f = -12, f = 6*f - 20. What is the remainder when d is divided by a?
3
Suppose 3*o = -2 - 1. Calculate the remainder when (-2 - o) + 20 - 2 is divided by 6.
5
Suppose -94 = 5*a - 569. Let z = a + -48. What is the remainder when z is divided by 10?
7
Let c(v) = v**3 - 3*v + 2. Let b = -1 + 4. Let n = 5 + 6. What is the remainder when c(b) is divided by n?
9
Suppose -v + 4*v = 21. What is the remainder when 17 - (0/1)/((-1)/(-1)) is divided by v?
3
Let r = -11 - -15. Let c = -1 - r. What is the remainder when 18 is divided by (-48)/(-5) - 2/c?
8
Let s(k) = k**3 - 6*k**2 + 5*k + 5. Let n(y) be the second derivative of y**3/3 + 2*y**2 + 2*y. What is the remainder when s(6) is divided by n(7)?
17
Let w = -13 + 14. Calculate the remainder when 60 is divided by (-2)/(-1) + (20 - w).
18
Let x(v) = -v**2 + 10*v + 5. Calculate the remainder when 77 is divided by x(3).
25
Suppose 126 = -4*b + 7*b. Calculate the remainder when b is divided by -11*1/(-2)*4.
20
Let d(i) = -i**3 - 2*i**2 + 2*i - 4. Let p be d(-4). Suppose p = 2*o + 2. Calculate the remainder when 26 is divided by o.
8
Suppose 0*y + 2*y - 128 = 0. Calculate the remainder when y is divided by 22.
20
Let k = -66 + 130. Calculate the remainder when k is divided by 17.
13
Let v = -2 - -3. Suppose -4*m + m + 6 = 0. Let y = m + v. What is the remainder when 7 is divided by y?
1
Let o = -6 - -16. Let c = -4 - -7. Calculate the remainder when o is divided by c.
1
Suppose 0 = -7*z + 3*z + 12. Let k(y) = 5*y**2 - 6*y - 3. Calculate the remainder when k(z) is divided by 9.
6
Suppose -c + 2 = -0. Suppose -2*t + t = -c*f - 20, -24 = -t + 3*f. Suppose 0*w - 88 = -4*w. What is the remainder when w is divided by t?
10
Let f = 1 - -60. Calculate the remainder when f is divided by 21.
19
Suppose 3*t + 4*v = -4, 7 = 4*v + 23. Suppose t*m - 49 = 3*m. Let n(i) = 2*i**2 - 1. Calculate the remainder when m is divided by n(-3).
15
Suppose -h = -u, h = 4*u - 0*u - 6. Suppose -2*m - u*m = -68. Let v(z) = 2*z**2 - 6*z + 1. What is the remainder when m is divided by v(4)?
8
Let i(n) = -7*n**3 - 3*n**2 - 3*n - 1. Let z(l) = -8 + 0*l + 5*l - l - 3*l. Let c be z(6). Calculate the remainder when i(c) is divided by 17.
15
Suppose 5*j - 16 = j. Suppose j*k = 4 + 132. Calculate the remainder when k is divided by 18.
16
Suppose -13*n + 8*n = -85. What is the remainder when n is divided by ((-5)/3)/(75/(-270))?
5
Let z(t) = -t**3 + t + 3. Suppose -2*k - 12 = 2*c + k, -2*c = -2*k - 