x + 4*s - 22 = 0, 0*s = -2*x + 2*s + 24. Calculate the remainder when x is divided by 3.
1
Let f = -9 + 14. Let o = f + 19. Calculate the remainder when 93 is divided by o.
21
Suppose -19 = -2*p + 5. Suppose -r - 67 = -72. What is the remainder when p is divided by r?
2
Let h = -22 - -45. Let i = -60 - -105. What is the remainder when i is divided by h?
22
Suppose -3*l + 10*l - 189 = 0. What is the remainder when 107 is divided by l?
26
Let n = -39 - -65. Let q = n + 9. Calculate the remainder when q is divided by 12.
11
Suppose 16*l - 13*l - 48 = 0. Let x(a) = -56*a**2 + 3*a + 2. Let h be x(-2). Calculate the remainder when h/(-5) - 6/(-15) is divided by l.
14
Suppose -60 = -6*g + 2*g. Suppose -3*m + 121 = -11. Calculate the remainder when m is divided by g.
14
Let d(s) = 2*s**2 - 5. Let o be 10 - (1 + 0/1). Let l(i) = 3*i - 13. Calculate the remainder when d(-4) is divided by l(o).
13
Let z = 8 + -6. Suppose -a = -12 + z. Let n(g) = -7*g - 2. What is the remainder when n(-3) is divided by a?
9
Let i(q) = q**2 - q. Let w be i(2). What is the remainder when 17 is divided by (-32)/(-6) + w/(-6)?
2
Let s(p) = -4*p + 4. Let j(t) = -t**2 + 6*t - 2. Calculate the remainder when s(-3) is divided by j(4).
4
Let g(d) = -56*d - 1. What is the remainder when g(-1) is divided by 28?
27
Suppose 3*f = f + 108. What is the remainder when f is divided by 19?
16
Let l be (-3)/(-2 + 0 + 1). Suppose 24 = 3*f - l*s, f + s = -0*s + 16. Calculate the remainder when f is divided by 5.
2
Let x = 13 - -6. Let m = 94 - 39. What is the remainder when m is divided by x?
17
Let k(o) = o**3 - 7*o**2 - 6*o - 9. Let l be (21 - 13) + 1 + -1. What is the remainder when 25 is divided by k(l)?
4
Suppose -16 = 4*l, -4*l + 5*l + 57 = x. What is the remainder when x is divided by 20?
13
Let h be 238/21 - 4/(-6). What is the remainder when 8 is divided by (-16 + h)*(-3)/4?
2
Let d(n) = n + 19. What is the remainder when (-37)/((0 + -2)*4/8) is divided by d(0)?
18
Suppose k = -0*k + 6. What is the remainder when k is divided by (-1 - -3 - -3) + -1?
2
Suppose 10 + 10 = 4*m. Let p(f) = 2*f**2 + 6*f - 6. Let z be p(6). Suppose 5*o - y - z = 11, m*o - 107 = -y. Calculate the remainder when o is divided by 12.
10
Let m(h) = 8*h - 4. Let q be 4/6*(1 + 2). Suppose -s = q*s - 45. Calculate the remainder when m(6) is divided by s.
14
Suppose 0 = -3*n + 31 - 13. What is the remainder when 33*(2 - (-15)/(-9)) is divided by n?
5
Suppose 0*m - 82 = -2*m. Let r(w) = w**3 + 10*w**2 + 9*w + 11. What is the remainder when m is divided by r(-9)?
8
Let g = 10 + -5. Suppose 0 = 2*s + 1 - g. Calculate the remainder when 1 + 0 + 1 - -1 is divided by s.
1
Let u(g) = -g**3 - g**2 + 8. Suppose -3*o - o - 8 = 5*i, 4*i - 5*o - 10 = 0. Let c be u(i). Let n = c - -7. Calculate the remainder when 43 is divided by n.
13
Let g(i) = -i + 5. Suppose 5*r + 23 = -12. What is the remainder when 35 is divided by g(r)?
11
Suppose 0 = -3*d - 1 + 37. Let t = -75 + 110. What is the remainder when t is divided by d?
11
Let w = 4 + 0. What is the remainder when 2 - -12*8/12 is divided by w?
2
Let u(z) = z**3 + 3*z**2 - 3*z - 2. Let h be 0 - (-2)/((-4)/(-6)). Suppose -m + 2*m - h = 0. Calculate the remainder when u(-3) is divided by m.
1
Let x(y) = 6*y - 1. Let t be x(1). Let w be 1 + 0 + -3 - -2. Suppose -4*l - 4*j = -40, 0 = t*l - w*l + j - 42. Calculate the remainder when l is divided by 3.
2
Suppose 5*i = 2*y - 3 + 9, -5*y + 2 = -4*i. Suppose q = -3*h - 3*q + 5, -3 = 3*q. Calculate the remainder when h is divided by i.
1
Let j(p) = 11*p - 3. Let v(a) = -a**3 - 6*a**2 + 17*a + 15. Calculate the remainder when j(2) is divided by v(-8).
5
Suppose -80 = -3*a - 2*a. Let f be 1/(-3) - 1/(-3). Let p(b) = -b + 47. What is the remainder when p(f) is divided by a?
15
Suppose -4*t + 7*t = 54. Calculate the remainder when 71 is divided by t.
17
Let c = 96 + -75. What is the remainder when 77 is divided by c?
14
Let a(p) be the second derivative of -p**3/6 - 11*p**2/2 - 4*p. What is the remainder when 5 is divided by a(-15)?
1
Let i(k) = 3*k**2 + 13*k + 9. Suppose 0 = -t - 0*t - 8. Let q be i(t). Let w = -56 + q. What is the remainder when w is divided by 21?
20
Suppose -5*u = -u - 5*t - 43, 2*t = -6. Let y(s) = 4*s - 10. What is the remainder when y(u) is divided by 5?
3
Let p = -6 - 0. Let i(a) = a. What is the remainder when i(8) is divided by 3*p/9 - -7?
3
Suppose 3*y - 4 = -118. Let j = y - -53. Calculate the remainder when 42 is divided by j.
12
Let f(c) be the third derivative of c**6/120 + 4*c**5/15 + 5*c**4/8 + 2*c**3/3 + 4*c**2. Calculate the remainder when 6 is divided by f(-15).
2
Let n = -12 - -25. Let b be (6/(-4))/(6/(-16)). Suppose -6 - 14 = -b*q. Calculate the remainder when n is divided by q.
3
Let y(d) = d**3 - 4*d**2 + 3*d - 5. Let v(t) = -t**3 - 2*t**2 + 3*t + 3. What is the remainder when y(4) is divided by v(-3)?
1
Let s = -113 - -67. Let d = s - -69. Calculate the remainder when 90 is divided by d.
21
Suppose 5*l = 7*l - 28. What is the remainder when (22/8)/((-3)/(-60)) is divided by l?
13
Let c(b) = b**3 - 5*b**2 + 4*b + 3. Let w be c(4). Suppose 15 = -w*z, z = -j + 13 + 7. What is the remainder when j is divided by 13?
12
Suppose -c = -3*c + 138. Let k = 55 - 37. What is the remainder when c is divided by k?
15
Suppose -5*b = -16 + 1. Suppose b*o + 3 = 18. What is the remainder when o is divided by (-1 - -2)/((-1)/(-3))?
2
Calculate the remainder when 45 is divided by (30/(-8))/(-5) - (-122)/8.
13
Let d(o) = -o**3 - 6*o**2 - 22*o - 91. Suppose -5*l = -3*y + 52, 2*l + 10 = -2*y + 34. What is the remainder when d(-6) is divided by y?
13
Suppose -2*x + 106 = 5*p - 0*x, -5*x + 12 = p. Calculate the remainder when 84 is divided by p.
18
Suppose 14 = -5*y + 4. What is the remainder when 33 is divided by 162/12 + 3/y?
9
Suppose -3*r - 155 = -8*r. What is the remainder when r is divided by 11?
9
Let p(v) = v**3 - v**2 + 17. What is the remainder when 49 is divided by p(0)?
15
Suppose q - 4*q = -30. Let p = -48 - -90. Let l = p + -23. Calculate the remainder when l is divided by q.
9
Calculate the remainder when (1 + (12 - 5))/(1 - 0) is divided by (5 - (-2 - -2)) + 1.
2
Let s = -159 - -185. Calculate the remainder when s is divided by 15.
11
Suppose 5*a + 15 = 0, r + 4*a + 32 = 5*r. Suppose 0 = 3*o + r*i + 50, o + 33 = -4*i + 7. Let j = o - -66. Calculate the remainder when j is divided by 19.
18
What is the remainder when 64 is divided by (11/(-4))/(2/(-24))?
31
Calculate the remainder when 75 is divided by 4 - (1 + 1) - (-2 + -15).
18
Suppose 110 = 6*a - 88. Calculate the remainder when a is divided by 17.
16
What is the remainder when 25 is divided by (-17 + 2 - -2)*-1?
12
Let k(l) = -2*l + 2. Let w be k(7). Let p(u) = -u**2 - 15*u - 4. What is the remainder when p(w) is divided by 17?
15
Let j = -3 - -18. Let g(q) = 8*q - 2. Calculate the remainder when j is divided by g(1).
3
What is the remainder when (27 - (5 + -2)) + 0 is divided by 5?
4
Let f(d) = -d**3 - d**2 + 3*d + 4. Let l be f(-3). What is the remainder when 1*l/4*12 is divided by 14?
11
Let o = 1 - -1. Suppose 0 = 4*y - 34 + 2. What is the remainder when o is divided by (y/(-32))/((-1)/8)?
0
Suppose 0 = -w + 1 + 3, -i = 2*w - 19. What is the remainder when i is divided by 6?
5
Let k be (-3)/(3/(-4) - 0). Suppose 3*r + r = -k. Calculate the remainder when 18 is divided by (r + (-3)/(-2))*20.
8
Let g = 14 - 12. Suppose i = -g*i + 21. What is the remainder when i is divided by 5?
2
Let s(v) = -8*v. What is the remainder when 29 is divided by s(-2)?
13
Suppose 0*h = 3*h - 60. Suppose -h = 4*s - 64. Calculate the remainder when 41 + (2 - (-2)/(-2)) is divided by s.
9
Let k(m) = -m**3 + 7*m**2 + 3*m - 12. What is the remainder when k(6) is divided by 12?
6
Let z = -20 - -46. Suppose -5*s = 3*b - 2*s - 57, 0 = 3*b + 2*s - 52. Calculate the remainder when z is divided by b.
12
Calculate the remainder when ((-84)/10)/(3/(-20)) is divided by 19.
18
Let p = 25 + 34. What is the remainder when p is divided by 15?
14
Let l = -11 - -19. Let t = 6 + l. Suppose -75 - 125 = -5*h. What is the remainder when h is divided by t?
12
Let y(t) = 5*t**2 + 2*t + 2. Suppose -72 = 4*b - 224. Let o = b - 20. What is the remainder when y(3) is divided by o?
17
Suppose -4*o - u