divided by 12?
11
Let r = 1554 + -1535. Calculate the remainder when 60 is divided by r.
3
Let x = -2 - -4. Let n = 11 + x. Suppose -222 = -5*z - t + 28, 0 = -4*t. What is the remainder when z is divided by n?
11
Suppose 0 = 2*f - 17 - 7. Let a = f + 68. Suppose 5*c - 45 = a. What is the remainder when 49 is divided by c?
24
Let g = 448 - 407. Calculate the remainder when 163 is divided by g.
40
Suppose 4*q = 2*n + 24 + 2, 4*q - n = 29. Suppose 6*k - q*k = -40. Calculate the remainder when k is divided by 7.
6
Let w(x) = x + 2. Let d = 18 + -11. Calculate the remainder when 14 is divided by w(d).
5
Let q(u) = u**2 + 12*u + 347. What is the remainder when q(0) is divided by 70?
67
Suppose 2*r + 5*f = r - 1, r - f - 5 = 0. Let s be r/(-10)*-10*1. Suppose 84 = 2*b - 2*d, 7*b - s*b - 124 = d. What is the remainder when b is divided by 21?
20
Suppose b = 5*b - 56. Suppose 2*d + b = -5*d. Let z(u) = -4*u**3 - 2*u**2 - 1. Calculate the remainder when z(d) is divided by 8.
7
Let b(k) = -2*k - 17. Let a(v) = -v - 16. Suppose w - 6*w = -4*u - 2, 8 = u + 3*w. Let i(y) = u*b(y) - 3*a(y). What is the remainder when i(8) is divided by 2?
0
Suppose 4*a = -j + 376, 14 = -a - 2*j + 101. Let t = a - -10. Suppose -t = -6*k + k. What is the remainder when k is divided by 12?
9
Let s(n) be the first derivative of 13*n**3/3 + n**2/2 - n + 3. Suppose 2*j - 152 = -2*j. What is the remainder when j is divided by s(1)?
12
Let v(r) = r**3 - 7*r**2 - 6*r - 4. Let u be (-1)/(-3) + (-314)/(-3). Suppose -5*a = -0*a - u. What is the remainder when a is divided by v(8)?
9
Suppose 99 = 5*j + 4*n - 776, 4*j = -3*n + 701. Calculate the remainder when j is divided by 46.
41
Let j = -4 + 15. Calculate the remainder when (-127)/(-2) + 8/(-16) is divided by j.
8
Let h(r) = 146*r - 552. Calculate the remainder when h(4) is divided by (-4)/(-6) + 62/6.
10
Suppose 5 = q - 5*p, 4*p = 2*q + 8 - 30. Calculate the remainder when 84 is divided by q.
9
Suppose -2*t - 2*d + 24 = 0, 0*d - 12 = -t + 4*d. Let q = -12294 - -12314. Calculate the remainder when q is divided by t.
8
Let v(h) = 3*h**2 + 2*h - 1. Let g be v(1). Suppose -4*w + 36 = -g. Calculate the remainder when 17 is divided by w.
7
Let p(n) = n**3 - 6*n**2 - 18*n + 19. Calculate the remainder when 16 is divided by p(8).
1
Let i(b) = -3*b**3 - 24*b**2 - 12*b - 31. What is the remainder when i(-8) is divided by (-23)/(-1*(2 - 1))?
19
Let o = 525 + -507. What is the remainder when (-2)/2 - 1 - -72 is divided by o?
16
Let w = 157 - 5. Calculate the remainder when w is divided by 13.
9
Let r(c) = 8*c**2 + 16*c + 49. Calculate the remainder when 532 is divided by r(-2).
42
Calculate the remainder when (114782/116)/((-1)/(-2)) is divided by 12.
11
Let c = -860 + 870. Suppose -155 = -4*u - v, 5*u = -0*v + v + 196. What is the remainder when u is divided by c?
9
Suppose 0 = 3*i + 3, 5*i = -2*g - 11 + 38. What is the remainder when 0 - 154/(-8) - 4/g is divided by 10?
9
Let y = -6 + 20. What is the remainder when (-1)/3 - 4182/(-153) is divided by y?
13
Let f be 3 - (12/3)/(-4). Suppose f*a - a = 12. Let q = -2 + 9. Calculate the remainder when q is divided by a.
3
Suppose -19 = 3*m + 71. Let c = 53 + m. Calculate the remainder when 112 is divided by c.
20
Suppose 4*a + 3 = 5*a. Let k(q) = q**3 - 2*q**2 + 2*q + 3. Calculate the remainder when k(a) is divided by 5.
3
Suppose 21*z = 19*z. Suppose -6*y + 84 + 6 = z. Suppose 44 = 2*f - f. What is the remainder when f is divided by y?
14
Let m be 21 + -3 + 3 + 0. Suppose 5*s = 6*s - m. Calculate the remainder when 60 is divided by s.
18
Suppose 5*j + 3*y - 1509 = -0*j, -j + 303 = y. What is the remainder when 306 is divided by j?
6
Let x = -4 + 6. Suppose 5*f - 48 - x = 0. Calculate the remainder when -3*(0 + 98/(-6)) is divided by f.
9
Let g(a) = 37*a + 4. Let i be g(-6). Let v = -79 - i. Calculate the remainder when v is divided by 35.
34
Let x = 133 - 89. Calculate the remainder when x is divided by 31.
13
Suppose 21*d - 79 = 5. Suppose -2 = 2*c, -d*f + 4*c + 54 = -14. What is the remainder when 47 is divided by f?
15
What is the remainder when 18/(-24) + 1/4*4779 is divided by 26?
24
Let v be -2*(6/3)/(-4) + 5. Let g(p) = -p**2 + 3*p + 4. Let j be g(5). Calculate the remainder when v/4*(-56)/j is divided by 4.
2
Let s be 21/9 + (-2)/(-3) + 0. Let g(u) = 16*u + 18. Calculate the remainder when g(s) is divided by 14.
10
Suppose 2*o - 266 = -5*t, -5*o - 73 = -3*t + 99. Calculate the remainder when 160 is divided by t.
52
Let y(f) = f**3 - 5*f**2 + 15*f - 33. What is the remainder when 18 is divided by y(4)?
7
Let p = -173 - 22. Let r(d) = -9*d - 1. What is the remainder when (-1164)/(-39) + (-30)/p is divided by r(-1)?
6
Let g be (-51)/(-2)*4/2. Let h = -33 + g. Suppose -265 = -10*o + 5*o. Calculate the remainder when o is divided by h.
17
Let r(l) be the second derivative of -25*l**3/6 - 2*l**2 - 24*l. What is the remainder when r(-5) is divided by 31?
28
Let f be (14/(-4))/(2/(-4)). Suppose -7*h + 7 + f = 0. What is the remainder when h is divided by 2?
0
Suppose -3*k - 4*m + 52 = 0, 0*m + 3*m = k - 39. Let a(h) = -h**2 - 5*h. Let r be a(-8). What is the remainder when 8 is divided by (6/k)/((-2)/r)?
2
Calculate the remainder when 38 is divided by 8*(30/8 + 0).
8
Let a = -446 + 812. Calculate the remainder when a is divided by 41.
38
Suppose -z - 3*g + 43 = -6*g, -2*g = 2*z - 70. Suppose -54 = 5*l + j - 0*j, -4*j + 4 = -2*l. Calculate the remainder when z is divided by (24/l)/(9/(-30)).
5
Let q(u) = -65*u**3 + 2*u**2 - 1. Suppose 18 = 2*z - 26. Suppose 9 = 3*a - 5*b + 32, 2*a + z = 5*b. What is the remainder when q(a) is divided by 23?
20
Let s = 431 + -385. What is the remainder when 92 is divided by s?
0
Calculate the remainder when 149 + ((-12)/6 - -3) is divided by 52.
46
Suppose -2*h - 4*f = -24, 2*h = -5*f + 13 + 14. Suppose 0 = 3*n - 0*n + h. Let j = n + 8. Calculate the remainder when 17 is divided by j.
5
Suppose -143 = -4*a + 3*a. Suppose a = 5*b - 112. Suppose 3*m + m + 5*v - 62 = 0, -2*m = -v - 38. Calculate the remainder when b is divided by m.
15
Let b = -1486 + 1565. What is the remainder when 189 is divided by b?
31
Let q(h) = -h**2 + 29*h + 39. Let b = -57 + 87. Calculate the remainder when q(b) is divided by 4.
1
Suppose 5*x + 46 + 19 = 5*i, 11 = 2*i + x. Let s = i - 3. Let h(j) = j**2 - 5*j - 6. Calculate the remainder when h(8) is divided by s.
3
Let u(v) = 9*v - 4. Suppose j - 9 = -7. What is the remainder when u(4) is divided by ((-46 + j)/4)/(-1)?
10
Suppose -12*n = -3*u - 9*n + 69, 0 = -5*u - 3*n + 131. Calculate the remainder when 28 is divided by u.
3
Suppose -4*c = 18 - 782. What is the remainder when c is divided by 11?
4
Let n(s) = 2*s**3 - 8*s**2 - 4*s + 21. What is the remainder when n(6) is divided by 13?
11
What is the remainder when 59 is divided by ((-25)/(-20) - 2) + 51/4?
11
Let g(v) = -v**3 + 8*v**2 - 10*v + 14. Let m be g(7). Let y = m - -12. Suppose 4*k - 95 = l - 2*l, k - y*l = 50. What is the remainder when 47 is divided by k?
22
Let r be (78/(-10))/((-3)/(-15)). Let a = -35 - r. Calculate the remainder when a is divided by (-4)/(-6) - 8/(-6).
0
Suppose 15*v - 14*v = -5*b + 63, 2*b - 5*v - 36 = 0. Suppose 4*d - 67 - 21 = 0. What is the remainder when d is divided by b?
9
Let y(c) = -c**2 - 26*c + 62. Calculate the remainder when y(-23) is divided by 52.
27
Let c(k) = 5*k**2 - 25 + 5 + 17 - 4*k. Let j(y) = -y**3 - 5*y**2 + 2*y + 7. Let h be j(-5). Calculate the remainder when c(h) is divided by 14.
12
Suppose 1 = -b - 0, -y - 3*b = -15. Calculate the remainder when (-5 - -5)/7 - -53 is divided by y.
17
Let a(x) = 41*x + 304. What is the remainder when 183 is divided by a(-6)?
9
Let u(i) = i**3 + 46*i**2 + 87*i - 32. What is the remainder when 18 is divided by u(-44)?
6
Suppose -1037 = -38*d - 87. Calculate the remainder when 61 is divided by d.
11
Suppose 0 = 3*p + 2*h - 486, 2*p + 0*p = 4*h + 308. Let s = p + -111. Suppose -s = -l + 18. Calculate the remainder when l is divided by 23.
21
Suppose -52*l + 8*l + 308 = 0. Let q = -62 - -32. Let d = -17 - q. Calculate the remainder when d is divided by l.
6
Suppose -492 = -2*d - 4*d. Let m = -44 + d. Calculate the remainder when m is divided by 10.
8
Let a = 22 - 69. Let y = a + 115. Suppose -p = -11 -