Let t(o) = o - 2. Let l be t(2). Suppose l = 2*r + 6, 0*r = u + 3*r - 1. What is the remainder when 19 is divided by u?
9
Let o be 8/(-3) - (-3)/(-9). Let u(d) = d - 3. Let b(k) = -2*k + 4. Let g(q) = o*u(q) - 2*b(q). Calculate the remainder when 9 is divided by g(4).
4
Let f(j) = 2*j - 3. Let d(t) = 5*t**3 + t**2 - t. Let y be d(1). Suppose 18 = y*i - 17. Calculate the remainder when i is divided by f(3).
1
Let f be 1/2 + (-119)/(-2). Suppose -4*w = -236 + f. Calculate the remainder when w is divided by 15.
14
Let f(z) = -z**2 - 7*z - 7. Let j be f(-5). Suppose -2*d = -5 + j. Calculate the remainder when 3 is divided by d.
0
Suppose 0 = 4*v - 5*k - 311, -2*v - 2*v + 3*k = -305. Let j = v - 42. Suppose -33 = -x - 2*x. What is the remainder when j is divided by x?
10
Let d = 38 - 13. What is the remainder when d is divided by 13?
12
Let f = 9 - -54. What is the remainder when f is divided by 22?
19
Let a(r) = 14*r + 2. What is the remainder when 63 is divided by a(1)?
15
Suppose 5*w + 46 = 7*w. What is the remainder when 84 is divided by w?
15
Suppose 3*y - 4 = w - 0, -4*w + 1 = 5*y. What is the remainder when 3 is divided by y?
0
Let b be (-9)/(-4) + (-10)/40. Suppose -2*h + 2*a = 4*a - 60, -a - 57 = -b*h. Calculate the remainder when h is divided by 8.
5
Let f(q) = q**2 - 3*q - 8. Suppose -5*a = n - 15 - 0, 15 = -5*n + 5*a. Suppose x = 12 - n. Calculate the remainder when f(-6) is divided by x.
10
Let d = 13 - -6. Calculate the remainder when d is divided by 5.
4
What is the remainder when 53 is divided by 21*(2/(-3) - 0)*-1?
11
Let b(g) = -g**2 + g - 8. Let q be b(0). Let z be (-34)/q - 1/4. Suppose s = z*c - 74, 4*s - 3*s - 2 = 0. What is the remainder when c is divided by 7?
5
Suppose -2*x + 68 = -5*u, -5*x + 2*x + 80 = -2*u. What is the remainder when 46 is divided by x?
22
Suppose -6 = 2*c, -y + 5*c + 9 = -3*y. Suppose 0 = y*k + k - 72. Suppose 0 = 3*g - 3*s + 24 - 69, -s = 5. What is the remainder when k is divided by g?
8
Suppose -4 = -0*c - c. Calculate the remainder when c is divided by 2.
0
Let k be (-6)/(-33) - 4552/(-11). Suppose -3*l + 4*l = 38. What is the remainder when l is divided by 2/7 - k/(-21)?
18
Let q = 7 + 13. What is the remainder when 38 is divided by q?
18
Let c = -35 + 70. What is the remainder when c is divided by 13?
9
Suppose 10*y = 5*y - 15. Let u = 1 - y. What is the remainder when 10 is divided by u?
2
Suppose -3*i - i + 12 = 0. Let l(x) = 7 - x**2 - 6*x + 3*x**2 - 3*x**2 + 0*x**2. What is the remainder when l(-6) is divided by i?
1
Let s = 495 + -254. Calculate the remainder when s is divided by 49.
45
Let d(p) = p**2 - 17*p + 9. What is the remainder when d(18) is divided by 5?
2
Let d be ((-27)/4)/((-6)/32). What is the remainder when (12/2)/(4/14) is divided by (-1)/(-2*3/d)?
3
Suppose 3*f + 2*f = 405. Let l = f + -39. Calculate the remainder when l is divided by 22.
20
Suppose -3*c - 12 = -3*s, 5*s + c + 0 = 2. Let x = s + 4. Calculate the remainder when x is divided by 3.
2
Let m(y) = y + 8. Let t be m(-4). Suppose 43 = -3*l + t*l. What is the remainder when l is divided by 11?
10
Suppose 3*b + l = -2*l + 36, 5*l + 76 = 3*b. Let o = -27 + 27. Suppose m - 2*s + o*s = 15, -b = -m + 4*s. Calculate the remainder when 51 is divided by m.
12
What is the remainder when 42 is divided by -1*(4 - 2 - 13)?
9
Suppose -5*c - 200 = -5*i, 4*i - 2*c - 109 = 47. What is the remainder when i is divided by 10?
8
Let z be (3 - (-9)/(-2))*-2. Suppose 0 = z*i + 39 - 114. What is the remainder when 48 is divided by i?
23
Let w(b) be the first derivative of -3*b**4/4 - 2*b**3/3 + b + 2. Let r be w(-1). Suppose 4*d = 66 + r. What is the remainder when d is divided by 10?
7
Let w = 28 + -3. Calculate the remainder when w is divided by 4.
1
Suppose -3*p = -5*p + 8. Let y = 10 - 3. Let u = p + y. What is the remainder when u is divided by 4?
3
Let p(n) = -n - 1. What is the remainder when 28 is divided by p(-11)?
8
Suppose 0 = -7*s + 4*s + 87. Suppose 3*b - s = -t - 7, 0 = -3*b + t + 26. What is the remainder when 0 + 0 + (-2 - (-36 - -3)) is divided by b?
7
Let b(i) = i**3 - 12*i**2 + 9*i + 13. Let s be b(11). Let w = -5 - s. Calculate the remainder when 14 is divided by w.
2
Suppose -2*d = -91 - 27. Calculate the remainder when d is divided by 20.
19
Calculate the remainder when 91 is divided by (27 - 1) + (-15)/(-3).
29
Suppose -t + 7 = -5. Suppose z + z = 3*f - 76, 4*f - 83 = -z. Calculate the remainder when f is divided by t.
10
What is the remainder when 21 is divided by 15*4/6 + -2?
5
Suppose 0 = 4*f - 5*d + 191 + 22, 0 = -2*f - 2*d - 120. Let v be (-2)/7 + f/21. What is the remainder when 1 is divided by (-3)/6 + v/(-2)?
0
Let k(i) be the third derivative of i**5/30 - 7*i**4/24 + 2*i**3/3 + 7*i**2. What is the remainder when k(-6) is divided by 30?
28
Let l(f) = -11*f**3. Let q be l(-2). Suppose q = 4*w + 2*r, -3*w - r = -5*w + 52. What is the remainder when w is divided by 9?
6
Suppose -2*k + 21 + 21 = 0. Let g = k + -14. Let x(j) = -j**2 + 7*j + 5. Calculate the remainder when x(g) is divided by 3.
2
Let p(b) = -b**3 - 22*b**2 - 22*b + 1. Calculate the remainder when p(-21) is divided by 12.
10
Let o = 4 - 4. Suppose 3*y - 4 - 5 = o. What is the remainder when 23 is divided by (y + 3)/(3/4)?
7
Suppose -18*w = -22*w + 292. Calculate the remainder when w is divided by 19.
16
Let l = 111 + -44. Calculate the remainder when l is divided by 19.
10
Suppose -21*w + 7*w + 210 = 0. What is the remainder when 24 is divided by w?
9
Suppose -8 + 1 = -d. What is the remainder when d is divided by (-30 - -22)*1/(-2)?
3
Let a(w) = 3*w**2 + 4*w. Suppose 3*j = 2*j + 3. Calculate the remainder when a(j) is divided by 30/4*4/3.
9
Suppose -2*f + 0*x + 2*x + 16 = 0, -5*f = -x - 28. Calculate the remainder when 11 is divided by f.
1
Let z(k) = k**3 - 7*k**2 + 3*k + 14. Calculate the remainder when z(9) is divided by 34.
33
Suppose 13*f + 10 = 15*f. What is the remainder when 37 is divided by f?
2
Suppose 38 = 6*m - 22. Suppose q + 5*h = 6*q - 180, -3*q + 110 = -h. What is the remainder when q is divided by m?
7
Let w(m) = m**3 - 2*m**2 - 3*m + 4. Let j(p) = p**3 - 5*p**2 + 5*p. Let v be j(4). Calculate the remainder when w(4) is divided by (-345)/(-27) - v/(-18).
11
Let f = 50 + -31. Calculate the remainder when f is divided by 12.
7
Let h(m) = -66*m - 2. Let g be h(-3). Suppose -4*t = 4*v - g, 2*t - v - 118 = v. Calculate the remainder when t is divided by 11.
10
Suppose 3*l - 31 - 26 = 0. Calculate the remainder when l is divided by 11.
8
Let a(f) = 7*f + 6. Let z(m) = 1. Let v(u) = -a(u) - 4*z(u). What is the remainder when 33 is divided by v(-4)?
15
Let o(z) = -8*z - 9. Calculate the remainder when o(-6) is divided by 21.
18
Suppose -7 - 39 = -2*j. What is the remainder when j is divided by 3?
2
Let p = 123 - 64. Calculate the remainder when p is divided by 20.
19
Let p(c) = 3*c**2 - 5*c. Let n be p(4). Suppose -2*r + 4*r = n. Calculate the remainder when 27 is divided by r.
13
Let d(q) be the third derivative of q**6/120 + q**5/15 - q**4/12 - q**3/2 - 3*q**2. What is the remainder when 8 is divided by d(-4)?
3
Suppose -64 = -2*v + 12. Calculate the remainder when 73 is divided by v.
35
Suppose 0 = -3*d - 10 + 61. What is the remainder when d is divided by 11?
6
Suppose 4*g - 50 = 6. Let j(r) = -3*r. Let u be j(2). Calculate the remainder when g is divided by u/(-9) - 13/(-3).
4
Let p = -15 + 26. Calculate the remainder when 30 is divided by p.
8
Suppose 0 = -4*y + 2 + 26. Suppose y*r - 54 = 4*r. Let g = r + -12. Calculate the remainder when g is divided by 2.
0
Let f(d) = -d**2 - 5*d + 4. Let g be f(-5). Suppose 38 = 2*u + 3*h + 2*h, -5*u = -2*h - 37. Calculate the remainder when (2 + 2)*25/g is divided by u.
7
Let v(c) = c**2 + 9*c - 2. Suppose 3 = w + 5*i, -5*i - 9 = -6*w + 3*w. What is the remainder when v(-10) is divided by w?
2
Suppose -3*k = -4*x - 166, -4*k + 2*x - 62 = -5*k. Calculate the remainder when k is divided by 20.
18
Let d(p) = 8*p + 38. What is the remainder when d(16) is divided by 43?
37
Suppose u - 33 = -5*j, -73 = -3*u - j - j. What is the remainder when 91 is divided by u?
22
Let o(x) = 22*x. Calculate the remainder when 4/18 + 3008/72 is divided by o(1).
20
Let d = 0 + 8. Suppose -5*p + 153 + 8 = 2*a, 65 = 2*