e 0 = 12*a - 18*a + 78. Calculate the remainder when a is divided by 4.
1
Let n(v) = -v + 1. What is the remainder when 57*-1*(-5)/15 is divided by n(-6)?
5
Suppose 48 = 2*p + p. Suppose 5*v - 318 = -3*i - 0*i, -v - 5*i = -68. What is the remainder when v is divided by p?
15
Suppose -15 = -3*f + 3*k - 6*k, 5*f - 4*k - 61 = 0. What is the remainder when 23 is divided by f?
5
Let m(p) = -2*p**3 - 3*p**2 - 3*p - 4. Calculate the remainder when m(-4) is divided by 13.
10
Suppose 0 = -5*a + 2*a + 45. Let l(n) = n**2 + 4*n + 7. Suppose 0 = 5*p + 7 + 28. What is the remainder when l(p) is divided by a?
13
Let w be -67 - (-6*1)/(39/26). Let j(i) = -2*i**2 + i + 4. Let a be j(-4). Let h = a - w. What is the remainder when h is divided by 16?
15
Let j(q) = q**3 + 9*q**2 + 6. Let f be j(-9). What is the remainder when 26 is divided by (-2)/(-3) + 80/f?
12
Suppose 3 + 8 = -2*x + 5*l, 3*x = -l + 9. Calculate the remainder when x/8 + (-7)/(-4) is divided by 2.
0
Let z be (13/(-3))/(5/15). Let w be (z/(-3))/((-3)/(-18)). Suppose 2*g - 6 = w. Calculate the remainder when 30 is divided by g.
14
Let b(s) = -s + 4. Let j be b(2). Suppose -22 = -j*u + 28. What is the remainder when 48 is divided by u?
23
Suppose -3*o + 64 = -5*x, 5*o - 6*o + 3*x + 28 = 0. What is the remainder when ((-72)/10)/((-1)/5) is divided by o?
10
Suppose -18 = -j - 0. What is the remainder when 1*-22*(-6)/4 is divided by j?
15
Suppose 3*n - 4*d = -16, 2*n + 16 = 3*n + 4*d. Let j(r) = -r + 19. Let y be j(n). Let s = y - 12. Calculate the remainder when 19 is divided by s.
5
Suppose 37 = 4*q - 5*t, 4*q - 2*t - 14 - 20 = 0. Suppose -35 = -5*h - 5*z, 3*z - 2*z + q = 2*h. What is the remainder when 12 is divided by h?
2
Suppose 4*x = 114 - 42. What is the remainder when 70 is divided by x?
16
Suppose 4*w = 3*w + 2. Let x = 14 - 10. Calculate the remainder when x is divided by w.
0
Suppose -6*k - 2*k = -552. What is the remainder when k is divided by 24?
21
Calculate the remainder when 93 is divided by -1 + 1 - (-15 - 17).
29
Suppose 0 = p - 72 + 51. What is the remainder when p is divided by 11?
10
Suppose -2*m - 50 = -7*m. What is the remainder when 37 is divided by m?
7
Let i(a) = -4*a + 4. Calculate the remainder when i(-3) is divided by 9.
7
Suppose 5*f + f - 234 = 0. What is the remainder when f is divided by 10?
9
What is the remainder when (4/(-6))/((-3)/225) is divided by 13?
11
Suppose 0 = 2*f + 3*f + 2*w - 120, -4*f - w + 93 = 0. Suppose -52 = -b - 4*z, -3*z - 9 = -0*z. Calculate the remainder when b is divided by f.
20
Suppose -5*m - 30 = -5*y, 4*y - m = -6*m - 21. Let d(i) = 1 + 2 - y - i - i**3 - 5*i**2. Calculate the remainder when d(-6) is divided by 15.
14
Suppose -3*l - 2*l - 540 = -5*d, 2*d = 4*l + 226. Let k = d + -66. Let p(f) = -6*f - 2. What is the remainder when k is divided by p(-2)?
7
Let c(k) = -4*k + 5*k + 2*k - 3 + k**2. Suppose -15 = -2*i - 0*i + 5*a, 3*a = 3*i. What is the remainder when 19 is divided by c(i)?
5
Suppose -6 - 6 = -4*o. What is the remainder when 11 is divided by o?
2
Let w(d) = -2*d**2 - 7*d + 1. Let a be w(-3). Let q be 43 - (-3 + 2 + 0). Calculate the remainder when 26 is divided by q/3 - a/6.
12
Let g(c) = c**3 + c**2 + c + 44. Let y(x) be the first derivative of -x**2/2 - 2*x + 2. Let a be y(-2). What is the remainder when g(a) is divided by 15?
14
Let b = -6 + 8. Suppose 0 = 2*l - 4*l - 12. Let n = l - -7. What is the remainder when b is divided by n?
0
Let b(w) = w**3 - 7*w**2 - 9*w - 3. Let q be b(8). Let s = q + 37. Calculate the remainder when s is divided by 7.
5
Suppose 295 = -2*q + 7*q. What is the remainder when q is divided by 15?
14
Let z be 2 + (-1)/(-1 + 0). Let b(t) = 15*t**2 + 4*t. Let u be b(z). Suppose u = 4*a - 145. Calculate the remainder when a is divided by 25.
23
Let u = 6 - 4. Suppose 60 = u*o - 5*w, -5*o + w = -6 - 144. Calculate the remainder when o is divided by 16.
14
Suppose 30 = q - 5*j, -q = 4*q + 5*j - 60. Let t = -2 - -30. Calculate the remainder when t is divided by q.
13
Suppose -2*m + 2*x - 18 = -74, x = 0. Let z = 5 + -3. What is the remainder when 1028/m + z/7 is divided by 13?
11
Suppose 3*z = 11 - 2. Let q be (0 + z - -17)*2. Suppose -2*j + q + 64 = 0. Calculate the remainder when j is divided by 27.
25
Suppose 10 = 5*q - 0. Let j = 5 - q. What is the remainder when 8 is divided by j?
2
Suppose 429*o + 38 = 431*o. Calculate the remainder when 168 is divided by o.
16
Suppose 0 = -3*f - f + 20. Let c be (-99)/(-6) + (-2)/4. Suppose c = 3*q - 0*q - f*r, -r + 4 = 3*q. Calculate the remainder when q is divided by 1.
0
Let k = 14 + 35. What is the remainder when k is divided by 13?
10
Suppose 6*q + 12 = 5*q + 5*p, 0 = 2*p - 10. Calculate the remainder when 48 is divided by q.
9
Suppose -8 = 2*w, h = 4*h - 3*w - 204. Suppose 6*r - r - 3*g - h = 0, 5*r - 5*g = 60. Calculate the remainder when r is divided by 8.
6
Let x(z) = -z + 21. Calculate the remainder when x(7) is divided by 4.
2
Let o(v) be the second derivative of v**3/3 + 2*v**2 + 5*v. Suppose 0 = -2*s - 3*a + 63 + 16, 0 = a + 5. What is the remainder when s is divided by o(4)?
11
Suppose -3*i + 18 = 6. Calculate the remainder when 6 is divided by i.
2
Let x = 2 + 4. Suppose -x*f + f = -30. What is the remainder when 15 is divided by f?
3
Calculate the remainder when ((-160)/(-24))/(((-8)/6)/(-2)) is divided by 6.
4
Suppose 4 + 9 = b. What is the remainder when b is divided by 5?
3
Suppose 0 = -2*n - 4*q + 10, 2*q = 2*n - 0*n - 4. Suppose -n*b = -54 - 57. What is the remainder when b is divided by 13?
11
Suppose -11*i + 4 + 150 = 0. What is the remainder when 69 is divided by i?
13
Let z be (2/6)/(5/90). Calculate the remainder when ((-1)/3)/(z/(-342)) is divided by 11.
8
Suppose 3*k = 8*k - 190. Let w = k - 3. Suppose -x + 5 = -7. Calculate the remainder when w is divided by x.
11
Suppose 1 = -5*v + 41. Calculate the remainder when 38 is divided by v.
6
Suppose -2*r + 0 = 10. Let k = r - -13. Suppose -5*m = -4*m + 3*z + 6, -2*z = 2*m. What is the remainder when k is divided by m?
2
Let h = -5 + 6. Suppose -8 = -4*g - 4*c, g + g - 3*c = -h. Calculate the remainder when 1 is divided by g.
0
Let d(u) = 2*u - 20. Let h be d(12). Suppose -5 = -5*j, -h*p + 3*j = j - 38. Calculate the remainder when 28 is divided by p.
8
Let a = -7 - -11. Suppose 5*v - 5*t + a*t = 76, 5*t + 35 = 2*v. Suppose -3*i - 108 = -4*c - 5*i, -3*c + 83 = i. What is the remainder when c is divided by v?
14
What is the remainder when ((-36)/(-24))/(-2*3/(-380)) is divided by 24?
23
Calculate the remainder when 15 is divided by (-5 - 7)/(1 - 3).
3
Let u(a) = a**2 + 9*a + 1. Let q be u(-7). Let y = q + 26. Suppose 3 + y = 4*d. Calculate the remainder when 10 is divided by d.
2
Let p(x) = 4 + 6*x**2 + 29*x - 24*x + x**3 + 3. Calculate the remainder when 24 is divided by p(-5).
3
Let r = 7 + 5. Calculate the remainder when 57 is divided by r.
9
Let i(q) = -20*q + 1. Let d be i(-6). Suppose 3*s = 4*k + d, -4*s + 61 = 5*k - 152. Calculate the remainder when s is divided by 16.
15
Calculate the remainder when 23 is divided by -10*(-3 - (-18)/10).
11
Let s = 17 + -12. Let q be (-6)/4*8/(-6). Suppose 4*l - 37 = -s*j, -q*l = 2*j - 12 - 8. What is the remainder when 24 is divided by l?
11
Let t(p) be the third derivative of 7*p**6/120 + p**5/60 - p**4/24 + p**3/6 + 2*p**2. What is the remainder when t(1) is divided by 6 - (-3)/(-9)*3?
3
Suppose 8 = -4*p + 52. Let f = -7 + p. Calculate the remainder when 11 is divided by f.
3
Let h = 34 + -8. Calculate the remainder when h is divided by 14.
12
Suppose -4 + 0 = -h. Let k(b) = b**2 - b. Calculate the remainder when 23 is divided by k(h).
11
Let o = 9 + 21. Calculate the remainder when 88 is divided by o.
28
Suppose 0*j + 2*j - 8 = 0. Suppose -12 - 27 = -c. Suppose 5 = r - j*w, 4*r + w - c = -2*w. Calculate the remainder when 17 is divided by r.
8
Suppose -5*f - 25 = 0, -6*f + 4*f = -2*y + 248. Calculate the remainder when y is divided by 30.
29
Let x = 306 + -202. Calculate the remainder when x is divided by 35.
34
Let r = -36 - -84. Calculate the remainder when r is divided by 10.
8
Let v(x) = 7*x - 2. Suppose 0 = w + 4*w + 25. Let j = 2 - w. What is the remainder when v(4) is divided by j?
5
Let c be -2*((0 - 0) + -12). Let x = 19 + c. What is the