Let d be (0/(-2 + 5))/(-2). Suppose 0 = -5*y + 2 + 23. Suppose -t + 0 + y = d. What is the remainder when 8 is divided by t?
3
Let n(y) = 9*y - 40. What is the remainder when 32 is divided by n(6)?
4
Let k(m) = m**2 - m + 16. Let a(o) = -o**3 - 5*o**2 - 3*o + 4. Let d be a(-4). Suppose 0 = p - d - 46. What is the remainder when p is divided by k(0)?
14
What is the remainder when 5 is divided by 4/10 + 88/55?
1
Suppose -5*x + 83 = 4*b - 86, 0 = -5*b + 3*x + 165. What is the remainder when 68 is divided by b?
32
Let b = -63 + 90. Calculate the remainder when b is divided by (-77)/(-5) - (-4)/(-10).
12
Let h(x) = -9*x - 6. Let z be h(-6). Suppose -4*j - 12 = -z. What is the remainder when j is divided by 6?
3
Let j(y) = -y**3 - 4*y**2 - 5. Calculate the remainder when 35 is divided by j(-5).
15
Suppose 0*r - 12*r = -180. What is the remainder when 44 is divided by r?
14
Suppose -26 = -2*j + 4. Calculate the remainder when 42 is divided by j.
12
Suppose -234 = -9*j + 4*j + 4*z, -4*z = 4*j - 180. Calculate the remainder when j is divided by ((-4)/3)/(2/(-18)).
10
Let t = -116 - -137. Suppose -r - 57 = 2*r. Let s = r - -30. What is the remainder when t is divided by s?
10
Let w(m) = 6*m**3 - m**2 - m. Let c be w(-1). Let x = c - -18. Calculate the remainder when 45 is divided by x.
9
Let a(f) = -6*f - 4. Let c(r) = 3*r + 2. Let n(o) = 2*a(o) + 5*c(o). Suppose 12 = -3*v + 6*v. What is the remainder when 26 is divided by n(v)?
12
Let g be -5*(-2)/(-3)*-3. Let l = g + -6. Suppose 5*w = -4*q + 24, 10 + 46 = 4*q - 3*w. Calculate the remainder when q is divided by l.
3
Suppose -2*c - c - 3*j = -54, -2*c + 34 = 3*j. What is the remainder when 95 is divided by c?
15
Let o = 9 + -3. Let f(m) = -m**2 + 6*m + 7. Suppose -44 = -4*b + 36. What is the remainder when b is divided by f(o)?
6
Let i = -12 + -5. Let g = i - -29. Calculate the remainder when (3 - 2)*6*14/4 is divided by g.
9
Let f be (-187)/7 - (-2)/(-7). Suppose -76 = -p + 3*p. Let m = f - p. Calculate the remainder when 20 is divided by m.
9
Let h(m) = -m**2 - 9*m + 19. What is the remainder when 94 is divided by h(-9)?
18
Suppose n - 14 = -n. Let j = 67 + -64. Calculate the remainder when n is divided by j.
1
Let a(h) = -9*h**2 + 10*h**2 - 2*h - 5 + 0 + h. What is the remainder when a(4) is divided by 4?
3
Let q(f) = f**3 + 5*f**2 + 3*f + 1. What is the remainder when q(-4) is divided by 2?
1
Let k(o) = -o + 7. Let s be 11/(-4) - (-3)/(-12). Let i = -2 - s. Calculate the remainder when i is divided by k(6).
0
Let z be 4 - 2 - -2*1. What is the remainder when 4 is divided by 18/z*4/6?
1
Suppose 0 = -2*i + 2 + 12. What is the remainder when 24 is divided by i?
3
Suppose 5*w - 63 = 2*w. What is the remainder when w is divided by (-2)/5 + (-42)/(-5)?
5
Let s(l) = -l**3 + 0*l**3 - 5*l**2 + 0 + 1 + 3*l. Calculate the remainder when ((-44)/(-4))/((-2)/(-10)) is divided by s(-6).
17
Suppose 5*k - 4*v + 2*v = 16, -5*v + 14 = k. Let l = 0 + k. Suppose -2*y - 19 + 7 = -x, l*x - 26 = -3*y. What is the remainder when 31 is divided by x?
7
Let d(n) = -n**3 - 2*n**2 + 2*n + 1. Let k be d(-3). Suppose k*v + 4*r - 200 = 0, 2*r = 4*v - 3*r - 200. What is the remainder when v is divided by 17?
16
Let h = 8 - -7. Suppose t + a - h = 0, 0*a = 4*a. What is the remainder when 15 is divided by (36/t)/(2/5)?
3
Let c(n) = -n**3 + 2*n**2 + 2. Let f be 6/(-3) - -3 - -1. Let t be c(f). Calculate the remainder when -50*t/(-4) + -2 is divided by 12.
11
Suppose -v + 0 = -25. Suppose v = -3*p + 7. Calculate the remainder when 33 is divided by p/9 + (-76)/(-6).
9
Suppose -26 = 4*d - 2*a, -2*d + 2 = 4*a + 10. Let g(f) = -3*f - 8. What is the remainder when 28 is divided by g(d)?
8
Let q = -80 + 85. Calculate the remainder when 27 is divided by q.
2
Let s be 15/5*(0 + 24). Suppose 2*g + g = -i + 130, 2*g - 3*i = s. Let o = 66 + -51. Calculate the remainder when g is divided by o.
12
Let l(o) be the first derivative of -o**4/4 + 8*o**3/3 + o**2/2 - o + 1. What is the remainder when 18 is divided by l(8)?
4
Suppose x + 0*x = 5*w + 27, 0 = -4*x - 12. What is the remainder when (-6)/5*255/w is divided by 27?
24
Let s(u) = -3*u - 1. Let r be s(-2). Suppose -4*m = -r*g - 5 - 1, 0 = -5*g - 3*m + 22. What is the remainder when 5 is divided by g?
1
Let k(t) = 5*t + 2. Let a be k(-2). Let h = 4 - a. What is the remainder when 80/6 + (-4)/h is divided by 7?
6
Let g(v) = -6*v - 3. Let l(h) = h + 11. Let n be l(-8). Let s = 8 - n. Calculate the remainder when g(-2) is divided by s.
4
Let j(z) be the third derivative of z**4/8 - z**3/6 + 2*z**2. What is the remainder when j(6) is divided by 5?
2
Let y(u) = -23*u**3 + u**2 + u - 1. Let z be y(1). Let i = -10 - z. Suppose v - 6*q = -q + 18, -4*v = -4*q - 88. Calculate the remainder when v is divided by i.
11
Let b be 2/(-4) - 5/(-2). Calculate the remainder when (b/(-4))/(2/(-236)) is divided by 15.
14
Suppose -2*b = -2*o + 22, 2*o - 3*b + 15 = 36. Let l = 3 - 3. Suppose l = n - 16 - 7. Calculate the remainder when n is divided by o.
11
Let l = -1 - -2. Let h = l + 7. Suppose 0*j - j + 14 = 0. What is the remainder when j is divided by h?
6
Let u(h) = 3*h - 4. Calculate the remainder when u(19) is divided by 7.
4
Calculate the remainder when 3 is divided by 1/(0/4 - -1).
0
Calculate the remainder when (-12)/(-8)*(-52)/(-6) is divided by 4.
1
Suppose -3*g = g - 80. Let u(j) = -j. Let s be u(-5). Suppose s*r - g = r. Calculate the remainder when 8 is divided by r.
3
Suppose 4*v + 76 = 8*v. Calculate the remainder when v is divided by 12.
7
Suppose -3*l = -0*y + 3*y + 9, -2*y - 20 = -5*l. Suppose l*j + 13 = 3*a + 45, 2*j + 4*a = 4. What is the remainder when j is divided by 4?
2
Suppose 19*r - 389 = 542. What is the remainder when 191 is divided by r?
44
Let w = -11 - -11. Suppose 0 = -y - w*y - 4*f + 31, -2*y + 3*f = -18. Calculate the remainder when y is divided by 4.
3
Suppose -6*p = -511 + 25. Calculate the remainder when p is divided by 21.
18
Suppose 0 = 3*n - 4*c - 22, 4*n - 4 = -c - 0*c. Let y(d) = 0*d**2 + 3*d**2 + 0*d**n. What is the remainder when 8 is divided by y(1)?
2
Let b(t) = t**2 + t + 1. Let p(s) be the first derivative of -s**4/4 - 5*s**3/3 - s**2/2 - 4*s + 1. What is the remainder when b(-1) is divided by p(-5)?
0
Let v = -122 + 211. What is the remainder when v is divided by 23?
20
Let d(w) = -w**2 + 6*w - 7. Let y be d(5). Let u(l) = l + 32. What is the remainder when u(-10) is divided by y/(-8) - (-47)/4?
10
Suppose -4*p = 71 - 179. Calculate the remainder when p is divided by 8.
3
Let j(s) = -5*s - 3*s**2 + 4*s**2 + 8 + 3*s**2 - 3*s**2. Calculate the remainder when 27 is divided by j(6).
13
Let k = 9 + 31. Calculate the remainder when 119 is divided by k.
39
Suppose -2*w + l + 105 = 0, -3*w - l + 161 = -6*l. Let o(u) = -1 - 4*u - 1 + 0*u. What is the remainder when w is divided by o(-5)?
16
Let d(p) = -p - 3. Let b be d(-7). Let g = b + 1. Let l = 1 + 13. Calculate the remainder when l is divided by g.
4
Let p(d) = d - 7. Let n be p(-12). Let t = 27 + n. Let i = t + 34. Calculate the remainder when i is divided by 22.
20
Suppose 2*g = 6*g - 20. Let w(u) = u**3 - u**2 - 3*u - 1. Calculate the remainder when w(3) is divided by g.
3
Suppose -4*d + 2*d = -100. What is the remainder when d is divided by 13?
11
Let r(s) = s**3 - 7*s**2 + 9*s - 6. Suppose 0*f + 12 = 2*f. Calculate the remainder when r(f) is divided by 7.
5
Let y(j) = j**3 + 6*j**2 + 3*j - 7. What is the remainder when 61 is divided by y(-4)?
9
Let x = 270 - 180. Calculate the remainder when x is divided by 46.
44
Let v = -6 - -10. Suppose -v = -w, -4*w = 2*h - 0*h - 130. Let r = -28 + h. Calculate the remainder when r is divided by 15.
14
Suppose -4*p - p = 0. Let c(d) = -d**2 + 21. Suppose 39*l - 40*l = -40. What is the remainder when l is divided by c(p)?
19
Suppose 4*s = -5*q - 22, -7*s = -2*s - 5*q + 50. Suppose -5*t = -f + 27, 0*f - 4*t - 156 = -5*f. Let l = f + s. What is the remainder when l is divided by 13?
11
Let l(j) = -j**2 + 6*j. Let y be l(6). Suppose y = -4*b + 30 + 18. What is the remainder when (-960)/(-28) + 4/(-14) is divided by b?
10
Let z be 12/(-27)*6*3. Let r = z + 13. Suppose 0*m = -4*m - 4, -r*v - 4*m + 16 = 0. What is the remainder when 6 is divided by v?
2
Suppose -188 = -4*o - 2*y, -3*o