uppose 24 = n*c + 12. Calculate the remainder when c is divided by 4.
0
Let c(a) = -1 - 4*a**2 + 4 - 1 + 1 - a**3. Let k(m) = -m**2 + m + 2. Let d be k(3). Calculate the remainder when 10 is divided by c(d).
1
Suppose 5*c - 4*c - 114 = 0. What is the remainder when c is divided by -1 - 2 - (794 - 828)?
21
Suppose 404*u + 420 = 418*u. Suppose r + m - 213 = 0, -1025 = 5*r - 10*r + 3*m. Calculate the remainder when r is divided by u.
28
Suppose -m + 2*m = -3*f + 4, f - 4*m - 23 = 0. Suppose t + 3*p = -t + 46, t - 14 = f*p. Suppose 4*u - t = -0*u. What is the remainder when u is divided by 2?
1
Suppose 3*r = 2*r + 6. Suppose -3*i - 30 = -r*i + 3*p, 2*p = -3*i + 15. Suppose -6*x + i*x = 40. What is the remainder when x is divided by 21?
19
Let v(q) = 100*q**3 + 1. Let n(y) = 3*y - 1. Let j be n(-1). Let m = j + 30. Calculate the remainder when v(1) is divided by m.
23
Let z be 2/8*-2*-2. Let k be z/(-3) - 28/(-12). Suppose -n - 23 = -3*n + o, -4*o = k*n - 38. What is the remainder when n is divided by 7?
6
Calculate the remainder when 386 is divided by (-111*8/(-96) - 7)*4.
8
Suppose -924 = 3184*j - 3190*j. What is the remainder when j is divided by 47?
13
Let v(y) = 4*y**3 - 3*y**2 + y + 4. Let d be (7 - 1)*(-2)/(-6). Suppose 3*n + d*n = 380. Calculate the remainder when n is divided by v(2).
24
Calculate the remainder when (-6)/45 + ((-99024)/45)/(-4) is divided by 69.
67
Suppose 0 = 3*g + g + 2*v - 750, -3*g + 2*v + 559 = 0. Calculate the remainder when g is divided by 38.
35
Let b = -65 + 329. Suppose 0*y + 8*y - b = 0. What is the remainder when 65 is divided by y?
32
Let y be (-5)/(5/2)*-1. Let l(z) = y*z**3 - z**3 + z + z + 18 - z. What is the remainder when 87 is divided by l(0)?
15
Let o = 299 + -149. What is the remainder when o is divided by 55?
40
Let l = -26 + 37. Let u(o) = -o**2 + 3*o - 1. Let d be u(2). Suppose -3*h = 2*x - d - 22, -3*x = 4*h - 33. Calculate the remainder when l is divided by x.
4
Suppose o + 1 = 2*f + 26, -35 = -5*f. Calculate the remainder when o is divided by ((-4)/(-10))/((-1)/(-35)).
11
Let m = 568 + -542. Let b = -26 - -76. What is the remainder when b is divided by m?
24
Let z(f) = -3*f. Let c = -3 - -1. Let g(t) = -t**3 - 25*t**2 + 27*t + 43. Calculate the remainder when g(-26) is divided by z(c).
5
Let p be (-14)/(-21) - (-5)/(-3). Suppose 0 = 4*z + o - 83 + 23, -2*z = -o - 36. What is the remainder when p/(-2) + (-3 - 291/(-6)) is divided by z?
14
Suppose o - 10 = 2*y, 5*o - 29 = -0*o + 3*y. Suppose 34 = o*a - 10. Calculate the remainder when 65 is divided by a.
10
Suppose p + 7 = -9. Let i be 8/(-6)*24/p. Suppose 0 = i*y + v - 18, 5*y + 4*v = -v + 55. What is the remainder when 27 is divided by y?
6
Suppose 5*a + 39*a - 1100 = 0. What is the remainder when a is divided by 11?
3
Let o = -1071 + 1077. What is the remainder when 47 is divided by o?
5
Let m(q) = -2*q - 5. Suppose 21 = 7*g - 0. What is the remainder when m(-4) is divided by g?
0
Let d be ((-4)/(-2))/(-2)*-4. Let i = -800 - -803. Suppose -d + 46 = i*u. What is the remainder when 26 is divided by u?
12
Let v = 10 - -3. Suppose 2*p - 3*p + 14 = 0. Let d = 19 - p. What is the remainder when v is divided by d?
3
Let p be ((-2)/4)/((-6)/(-72)). Let o = p + 8. Calculate the remainder when 18 is divided by o.
0
Suppose -4*x - 13 = 27. Let g be 46/(-10)*2*x. Suppose 2*q - g = 26. What is the remainder when q is divided by 31?
28
Let l(i) = 29*i + 27. Let r be l(15). Suppose 2*f + 94 = o, -5*o - 3*f = -5*f - r. What is the remainder when o is divided by 47?
45
Suppose 131 + 7 = 6*t. Let p = 31 - t. Calculate the remainder when 22 is divided by p.
6
Suppose -6*m = 2*m - 16. Suppose m*p = 7*p - 315. Calculate the remainder when p is divided by 18.
9
Suppose -23*h + 26*h = 123. Let t = h + -23. Suppose 3*x = 4*d - 43, 5*d + 13 = 5*x + 68. What is the remainder when t is divided by d?
8
Let u = -542 + 569. Calculate the remainder when 202 is divided by u.
13
Let r = 77 + -52. Suppose 0 = 2*m - 53 - 41. Calculate the remainder when m is divided by (-4)/(-10) + 390/r.
15
Let j(a) = -2 - 2*a - 10*a + 3 + 2*a. Calculate the remainder when 19 is divided by j(-1).
8
Let v = 23 - 23. Suppose v = -7*s + 3*s + 160. Calculate the remainder when s is divided by 15.
10
Let j = 3057 + -2008. What is the remainder when j is divided by 70?
69
Let h = -33 - -39. What is the remainder when 16/3*27/h is divided by 78/(-9)*(-3)/2?
11
What is the remainder when 66 is divided by ((-51)/(-6))/(3/(-6))*-1?
15
Suppose 0 = 5*j - g + 3*g - 1630, -977 = -3*j - g. Calculate the remainder when j is divided by 55.
49
Let l be (-255)/(-30) + 2/4. Let a(v) = v**2 - 9*v + 15. Calculate the remainder when a(l) is divided by 8.
7
Let t = 783 - 637. Calculate the remainder when t is divided by 10.
6
Let o(d) = 4*d**3 + 8*d**2 - 16*d + 11. Calculate the remainder when o(3) is divided by 6.
5
Suppose -10*d + 2*d = 0. Suppose 3*n + 3*j - 3 = d, 0 = -5*n + j - 5*j + 8. What is the remainder when 19 is divided by n?
3
Let s = 6 - -2. Calculate the remainder when (-570)/(-7695) - 1994/(-54) is divided by s.
5
Let w(b) = -6*b - 4. Let a be w(-1). Suppose 0 = i - 4*o - 37, -a*i - 2*o = -o - 29. What is the remainder when i is divided by 10?
7
Suppose -d = -5*d + 172. Suppose -2*i = -4*g + 48, -10*g - 3*i = -70 - 34. What is the remainder when d is divided by g?
10
Let a(k) = 4*k**2 - 4*k - 4. What is the remainder when a(4) is divided by 1 + -4 + 3 - -19?
6
Let s(x) = -x**3 + 4*x**2 - x + 3. Suppose 70*h = 77*h - 196. Calculate the remainder when h is divided by s(3).
1
Let n be 6/4 + (-5)/(-2). Suppose -13 = -n*p + 47. Let t(r) = r**3 + 9*r**2 - 13*r + 12. Calculate the remainder when t(-10) is divided by p.
12
Let r = 226 - 203. What is the remainder when 31 is divided by r?
8
Calculate the remainder when 134 is divided by (-2 + -7 + 6)*-15.
44
Suppose -2*g - 14 = -4*g. Calculate the remainder when 1/(1 - g) + (-2456)/(-48) is divided by 9.
6
Suppose -549 = -13*x + 88. What is the remainder when 486 is divided by x?
45
Let x(a) = a**2 + 54*a - 589. What is the remainder when 141 is divided by x(-64)?
39
Let t(i) = i**2 - 13*i - 11. Let o be t(14). Suppose 0 = o*w - 53 + 2. What is the remainder when 32 is divided by w + (4 - 2) - 2?
15
Suppose 5*l - 17 = -2. Suppose 0 = l*u - 13 - 50. Suppose -66*v + 64*v - 50 = -5*q, 0 = -4*q + v + 37. Calculate the remainder when u is divided by q.
5
Let k = -3 - -6. Suppose -3*p - 2*p - 24 = -2*v, -3*v = k*p - 15. Let x = 779 - 776. Calculate the remainder when v is divided by x.
1
Let b(u) = -2*u + 25. Let f be b(11). Suppose 0 = f*c - 128 + 20. Calculate the remainder when c is divided by 13.
10
Let y(j) = 47*j - 171. What is the remainder when 126 is divided by y(5)?
62
Let n(f) = -6*f + 32. Calculate the remainder when n(-11) is divided by 18.
8
Suppose -2*o - 4*d - 32 = o, 2*o + 5*d = -33. Calculate the remainder when ((-13)/(39/6))/(o/74) is divided by 21.
16
Let i = 7 + -5. Calculate the remainder when (-672)/(-14) + (-4)/i is divided by 16.
14
Suppose 0*w = 4*w + 12. What is the remainder when 111 is divided by (-2)/(w + 56/19)?
35
Let p(s) = -2*s**3 - 50*s**2 - 8*s - 138. Let g(k) = -k**2 - 13*k - 9. Calculate the remainder when p(-25) is divided by g(-10).
20
What is the remainder when 66 is divided by (-6 + 21)/((-6)/(-14))?
31
Suppose -2*m + 23*y = 25*y - 80, m = 4*y + 50. Calculate the remainder when m is divided by 17.
8
Suppose 3*a + 10 = -5*b, -4*b - 5*a = -3*b - 20. Calculate the remainder when (2/(-4))/(2/(-148)) is divided by 4 - (10*8)/b.
17
Calculate the remainder when 51 is divided by ((-66)/(-24))/11 - 150/(-8).
13
Let b be (2/(-6))/((-10)/90). Let o(p) = 17*p**3 + 3*p**2 - 16*p**b + 2*p**2. What is the remainder when 44 is divided by o(-4)?
12
Suppose -4*f - 45 = f. Suppose 112 = 107*m - 103*m. What is the remainder when 74/(3/(f/(-2))) is divided by m?
27
Let s(d) = 22*d**2 + 9*d - 5. What is the remainder when 109 is divided by s(1)?
5
Let q(m) = 5*m + m - 5*m + 7. Let n be q(-6). Calculate the remainder when 62 is divided by (48/(-12))/(n/(-4)).
14
Suppose 0 = -k - 5*q + 28, 2*q + 1 = 9. Calculate the remainder when 55 is divided by k.
7
Let r = 38 - 30. Suppose r*c - 10 - 102 = 0. What is the remainder when 40 is divided by c?
12