Suppose -30 = -4*x + p, p + p - f = w. Calculate the remainder when x is divided by 5.
3
Let m = 141 - 70. Calculate the remainder when m is divided by 15.
11
Let h = 600 - 342. Suppose 3*o - h = -l, -o - 3*l + 86 = 2*l. What is the remainder when o is divided by 22?
20
Calculate the remainder when (50/6)/(8/24) is divided by 9.
7
Let s = -168 + 178. Suppose -5*m = 57 - 152. What is the remainder when m is divided by s?
9
Let g(b) = 31*b**2. Let q(a) = a**3 - 5*a**2 - 6*a - 1. Let p be q(6). What is the remainder when g(p) is divided by 8?
7
Suppose 3*s + 4 = 10. Suppose 0 = 3*a + 3*q - s*q - 98, 0 = -5*a + 4*q + 135. Calculate the remainder when a is divided by 16.
15
Suppose 5 = 2*m - 3. Suppose -2*r + 4*r = m. What is the remainder when 9 is divided by 1 + r + (-1)/(-1)?
1
Let l(g) = 2*g**2 - 22*g + 8. Calculate the remainder when l(15) is divided by 33.
29
Let q = -3 + 6. Suppose 144 = s + 2*s - q*t, 5*t - 160 = -3*s. Let z = s - 24. Calculate the remainder when z is divided by 14.
12
Let y be (-5)/(-2)*64/20. Suppose -o - y = -4*n - 27, 0 = -o + 2*n + 23. Suppose -6*v + 28 = -4*v. What is the remainder when o is divided by v?
13
Let t(y) be the second derivative of 3*y**4 - 1/2*y**2 + y + 0 + 0*y**3. What is the remainder when t(-1) is divided by 12?
11
Suppose 0 = 3*g - 43 - 50. Suppose 0 = -3*k + 2*j + 43, 5*k - k - 29 = -3*j. What is the remainder when g is divided by k?
9
Let m = -80 + 121. Calculate the remainder when m is divided by (3 - -18) + 1 + -1.
20
Suppose -l - m + 13 = 0, -3*l - 4*m + 27 = -7*m. Suppose -2*b + l = -19. Let d = 17 - 8. Calculate the remainder when b is divided by d.
6
Suppose 0 = -10*t + 283 + 267. Calculate the remainder when t is divided by 19.
17
Suppose -67 = 3*a - 175. Let u(f) = 2*f**2 + 2*f + 1. Let d be u(-1). Calculate the remainder when 31 is divided by d/(a/33 - 1).
9
Suppose -3*s - s = 0. Suppose s = v, 0 = -n + 4*v + 3 + 7. What is the remainder when 27 is divided by n?
7
Let p(w) = -w + 8. Let u be p(5). What is the remainder when 8 is divided by (-9)/u - 1*-5?
0
Suppose 5*h + 10 = 4*z, h + 29 = 3*h + 5*z. What is the remainder when 14 is divided by h?
0
Let j = 55 - 32. Calculate the remainder when 43 is divided by j.
20
Let a = -11 - 4. Let f be (-2 - 1 - -2)*-41. Let u = a + f. Calculate the remainder when u is divided by 7.
5
Let n = -40 + 47. Calculate the remainder when (-152)/12*(-3)/2 is divided by n.
5
Let d(f) = 4*f**2 - f - 10. What is the remainder when d(5) is divided by 29?
27
Let y = 5 - 1. Let j = 6 + 8. What is the remainder when j/(1/1 + 1) is divided by y?
3
Suppose -3*i - 3*n = -5*i + 12, 4*i + 3*n + 12 = 0. Suppose i = 4*v - v - 12. Suppose 0 = -0*m - v*m + 64. Calculate the remainder when m is divided by 6.
4
Suppose g = 14 + 18. What is the remainder when g is divided by 11?
10
Suppose h + 0*h = 65. What is the remainder when 31 is divided by 725/h + (-2)/13?
9
Let q(s) = -19*s - 4. Let f be q(3). Let y be 1 - -1 - f/1. Suppose z = -2*z + y. What is the remainder when z is divided by 11?
10
Let l be 3*((-28)/6)/(-1). Suppose -11 = -f + z, 5*f - 4*z - l = 43. Calculate the remainder when f is divided by 7.
6
Let c be 0 + (-3 - 6/(-1)). What is the remainder when 39 + (c - 1)/(-1) is divided by 10?
7
Let h(r) = -r**3 + 3*r**2 + 4*r + 2. Suppose 3*g - 5*d - 8 = 6*g, -2*g - 3*d = 4. Suppose -3*q + 19 = 4. Calculate the remainder when q is divided by h(g).
1
Suppose 2*w = 2*d + 14, 0 = -4*w + 2*w - 4*d - 10. What is the remainder when 6/2 - -2 - 4/(-4) is divided by w?
0
Let o(m) = -m**2 + 22. Let v be o(0). Suppose 5*s + 0*k - 62 = k, -k = 2*s - v. Calculate the remainder when s is divided by 5.
2
Let a be (-72)/(-4) + -1 + 0. Let m = -10 + a. Calculate the remainder when 30 is divided by 7*2 - (-9 + m).
14
Let b(o) be the second derivative of o**5/20 - o**4/12 - 2*o**3/3 + 2*o**2 - 4*o. Calculate the remainder when 19 is divided by b(3).
9
Suppose 2*v + 275 = 7*v. Calculate the remainder when v is divided by -6*(-4 - (-15)/18).
17
Suppose -4*h + 0*h = -56. Let q = h - 9. Suppose 43 = 4*n + 5*x + q, -2*n - 3*x + 18 = 0. What is the remainder when 35 is divided by n?
11
Suppose -5*z + 2*n + 35 = -118, 125 = 5*z + 5*n. Calculate the remainder when 55 is divided by z.
26
Let h = 35 - 29. Calculate the remainder when 16 is divided by h.
4
Suppose -5*s + 3*l - l + 77 = 0, 2*s - 2*l - 26 = 0. What is the remainder when 49 is divided by s?
15
Let v(m) = -2*m**2 + 13*m - 16. Let t(a) = a - 1. Let x(k) = 5*t(k) - v(k). Let z = 12 - 4. Calculate the remainder when x(5) is divided by z.
5
Let h = -6 + 10. Suppose -4*o = x - 42, h*x - o = 104 + 81. What is the remainder when x is divided by 24?
22
Let i(j) = j**2 + 8*j + 6. Let s = 8 - 16. Calculate the remainder when 28 is divided by i(s).
4
Let o = -14 - -20. Let w(y) = -3*y - 1. What is the remainder when w(-4) is divided by o?
5
Let g(j) = -j**2 + 16*j - 14. Calculate the remainder when g(6) is divided by 18.
10
Suppose 3*n - 40 = 56. What is the remainder when n is divided by 9?
5
Let d(g) = -23*g + 1. Let o = -3 - -5. Suppose o*u = u + 13. What is the remainder when d(-1) is divided by u?
11
Let r(y) = 2*y - 3*y - 8 - y**2 - 7*y. What is the remainder when 10 is divided by r(-6)?
2
Let r = 8 + 3. Let t = -7 + r. What is the remainder when 9 is divided by t?
1
Let z(c) = 3*c**2 - 6*c - 5. Calculate the remainder when 35 is divided by z(-2).
16
Let y = 5 - 1. Suppose -y*q = -q. Let h = 2 + q. Calculate the remainder when 5 is divided by h.
1
Let f(a) = -3*a - 7. What is the remainder when f(-12) is divided by 6?
5
Suppose 3*f + 2*q - 3 = 0, 6*f - 5*q = 2*f - 19. Let w(s) = -5*s**3. What is the remainder when 9 is divided by w(f)?
4
Let o = -22 - -8. Let a = o - -59. Calculate the remainder when a is divided by 23.
22
Let x = -1 + 4. Suppose -40 = -4*a - 8. Suppose -a*z + x*z = -20. What is the remainder when z is divided by 2?
0
Suppose -o + 2*d = 0, 10 = o - 2*d + 5*d. Suppose -5*v + 3*a + 7 - 4 = 0, v = o*a - 13. Let u = v - -7. What is the remainder when u is divided by 4?
2
Suppose 3*s + 2*q - 28 = 0, 3*q + 49 = 5*s - 4. Calculate the remainder when s is divided by 3.
1
Let z(v) = v**2 - 11*v + 12. Let a be z(10). Suppose 31 = a*m - 4*j - 7, -20 = 5*j. What is the remainder when 31 is divided by m?
9
Suppose 2*q + 4 = -b, 3*b = -3*q + 4 - 10. Suppose d + 4*d = 4*h - 140, b = 5*h + 4*d - 175. What is the remainder when h is divided by 12?
11
Suppose 4 = 4*u - 0. Suppose -f = f - 20. What is the remainder when 0 - (-19)/(0 + u) is divided by f?
9
Let l = 4 - -4. Suppose 2*y + 0*p = -p + 62, 3*p = 5*y - 133. What is the remainder when y is divided by l?
5
Let z be 4 - 1*0/3. Suppose z*x - 19 = -2*b + 5, 3*x - 53 = -4*b. Calculate the remainder when 41 is divided by b.
13
Let i(s) = -s - 12. Let b(k) = k. Let c(f) = -2*b(f) - i(f). Calculate the remainder when 45 is divided by c(0).
9
Suppose -4*v - 2*u + 0*u = -10, 0 = -4*v - 4*u + 12. Let d(m) = 5*m**3 + 4*m - 2*m - 3*m + 3*m**2. Calculate the remainder when d(v) is divided by 17.
16
Suppose c - 2 = 2*c - 4*k, 4*k - 16 = 0. Let n be c + (2 - 1)*-3. Let z(j) = 3*j - 8. What is the remainder when z(n) is divided by 9?
7
What is the remainder when (918/(-72))/((-1)/4) is divided by 14?
9
Suppose 0 = -2*m - 10, m - 94 = -4*s + 77. Calculate the remainder when s is divided by 6.
2
Let i = -26 - -92. Let z = i + -45. Calculate the remainder when z is divided by 8.
5
Let y = -5 - -7. Let a(n) = n**2 - 3 + 4*n**y - n**3 + 1 + 3 - n. Calculate the remainder when a(4) is divided by 7.
6
Let h(k) = -k**3 - 6*k**2 - 3*k + 5. What is the remainder when h(-6) is divided by 4?
3
Suppose -2 = 2*d - 0*f - 2*f, 4*d + f = 1. Suppose 0*j - j - 3 = d. Let y = j + 17. Calculate the remainder when 41 is divided by y.
13
Let c(v) = -4*v + 7. Let n = -9 - -4. What is the remainder when c(n) is divided by 15?
12
Suppose 0 = 3*y - 202 + 46. What is the remainder when y is divided by 15?
7
Suppose 0*f = -3*f + 24. Suppose 0 + 55 = 2*y - 5*v, 2*y + 2*v = 20. What is the remainder when y is divided by f?
7
Let n(a) = a**3 - 6*a**2 + 5*a - 17. Suppose -2*d = 3*w - 117, w + 0*w + 5*d = 52. What is the remainder when w is divided by n(6)?
11
Let t(g) = 3*g - 3. Let a be t(-5). Let f = -7 - a. Calculate the rem