 the remainder when r is divided by 18.
16
Let y(u) = -u**3 + 3*u**2 + u - 4. Let n be y(3). Let k(l) = -3*l**3 - l. Suppose -3*s + 0*s = -42. What is the remainder when s is divided by k(n)?
2
Suppose 30 - 5 = 5*l, l - 26 = -3*t. What is the remainder when t is divided by 3?
1
Suppose 0 = -4*y + 2*z + 250, 9*z - 5*z = 12. What is the remainder when y is divided by 17?
13
Let r(z) = -3*z + 2. Let l be r(-6). Let a be ((-12)/l)/((-3)/(-15)). What is the remainder when 27 is divided by 82/6 - 1/a?
13
Let o = -51 - -74. Let d be (1/(-3))/((-2)/24). Suppose 20 = d*h - 12. What is the remainder when o is divided by h?
7
Suppose -4*a = a - f - 200, 5*f - 200 = -5*a. Calculate the remainder when a is divided by 14.
12
Suppose -l = l - 4*b - 18, 0 = 2*l - 2*b - 14. Suppose -j - 2 = 0, 5*v + 4*j = 2 - 0. Calculate the remainder when l is divided by v.
1
Suppose -5*j = -0*j - 4*q - 30, 0 = -5*j + q + 45. Let v(b) = 2*b - 26. What is the remainder when j is divided by v(16)?
4
Suppose 2*t - 126 = -t - 3*g, -163 = -4*t + g. Calculate the remainder when t is divided by (-14)/(-2)*(-8 + 9).
6
Suppose 4*t = j + 100, -2*t = -t + 4*j - 25. Let l(g) = g**2 + 5*g - 11. Calculate the remainder when l(-12) is divided by t.
23
Suppose -j - 330 = -6*j. Suppose v - j = 4*v. What is the remainder when (-4)/(-2) - 1 - v is divided by 12?
11
Suppose 4*w = -7 - 1. Let y = w - -33. Calculate the remainder when y is divided by 11.
9
Suppose 0 = -2*q + 4*g + 132 - 12, -g - 59 = -q. What is the remainder when q is divided by 20?
18
Suppose 5*q + 335 = 3*i, 3*i - 180 - 169 = -2*q. Suppose i = 3*b + 2*b. Suppose y = -y + 16. Calculate the remainder when b is divided by y.
7
Let y = 9 - 6. Suppose y*z - 24 = k, k + 21 = 2*z + 2*k. What is the remainder when 16 is divided by z?
7
Suppose -l + 3*l + 9 = 5*p, -l - 9 = -4*p. What is the remainder when 28 is divided by l?
1
Let c = 92 + -5. What is the remainder when c is divided by 18?
15
Let v(y) = 6*y - 6. What is the remainder when 16 is divided by v(2)?
4
Suppose 4*l = 28 + 252. Calculate the remainder when l is divided by 25.
20
Let d(p) = 4*p**2 - p. Let y be d(-1). Suppose 10 = 3*v - y, v = 4*i - 51. Calculate the remainder when i is divided by 5.
4
Let q(v) = v**2 + 11*v - 28. Let c be q(-12). Let l(z) = -z**2 + 3*z + 2. Let w be l(-5). Let g = c - w. What is the remainder when g is divided by 12?
10
Let t be (1 - (-4)/2) + 0. Suppose -4*o + 3*l = -26 - 1, 2*o = -t*l + 27. Calculate the remainder when 17 is divided by o.
8
Suppose -2*w + 6 + 0 = 0. Let j = 19 - 0. Suppose w - j = -v. Calculate the remainder when 46 is divided by v.
14
Suppose -w = -5*w + 36. Let b(s) = -s**3 + 8*s**2 + 13*s - 12. What is the remainder when b(w) is divided by 13?
11
Suppose 4*h - 4*q - q = 108, -h + 3*q = -20. Calculate the remainder when h is divided by 18.
14
Suppose -3*k + 115 = 4*t, t + 5*k = 4*t - 79. Calculate the remainder when 80 is divided by t.
24
Let s = -28 - -47. What is the remainder when 54 is divided by s?
16
Calculate the remainder when 21 is divided by -2 + 9 + -2 + 1.
3
Let j be ((-4)/(-5))/((-8)/100). Calculate the remainder when 4/j - (-1168)/20 is divided by 15.
13
Suppose -5*m - 10 = 0, -q = 3*q - 3*m - 18. Suppose 0 = 2*u - q*u. Suppose h - 5*t = -3, u*h - 3*t = 3*h - 9. What is the remainder when 4 is divided by h?
0
Suppose 4*l = -3*s + 22, s = -2*l - 3*s + 16. Suppose -2*y - 6 = -4*y, -l*m + 5*y = -13. Suppose 5*i = 135 - 0. Calculate the remainder when i is divided by m.
6
Let w = 209 - 135. Suppose 0 = -4*z + w - 6. What is the remainder when z is divided by 9?
8
Suppose 4*j + 13 + 135 = 2*u, j - u + 36 = 0. Suppose 0 = -q + 4*o - 7, -3*o - 47 = -0*q + 2*q. Let r = q - j. Calculate the remainder when 36 is divided by r.
17
Let k(w) = 8 - 3 - 3 - 2*w. What is the remainder when 45 is divided by k(-7)?
13
Let h be 18/(-1)*18/(-4). Let y be 0 + (2*-1 - -37). Let a = h - y. Calculate the remainder when a is divided by 16.
14
Suppose 5*w - 14 = -2*c - 0, 3*w - 4*c = -2. Suppose -2*h - w*h = -412. What is the remainder when h is divided by 35?
33
Suppose -4*x = x - 15. Suppose 6*r - 3*r - 4 = j, x*r = 5*j - 40. What is the remainder when j is divided by 6?
5
Let g = -2 + 2. Let p = 5 - g. Suppose -2*f - 27 = -2*x + 5, p*x + 4*f - 98 = 0. What is the remainder when 52 is divided by x?
16
Suppose 5*q - 72 - 48 = 0. What is the remainder when 46 is divided by q?
22
Let p(t) = t**3 + 3*t**2 - 7*t - 5. Let b be p(-4). Let j(s) = 5*s**2 - s**2 + 2*s + b*s**2 - s. Calculate the remainder when j(2) is divided by 16.
14
Let p be (-2)/(-7) - (-18)/(-14). Suppose -10 - 35 = -5*g. Calculate the remainder when 873/54 - p/(-6) is divided by g.
7
Let w = 29 + -15. Suppose 5*v - v - 12 = 0. Suppose 0 = -v*a + 6*a - 120. Calculate the remainder when a is divided by w.
12
Let h = -2 + 4. Suppose 3 = l - h. What is the remainder when 12 is divided by l?
2
Let t(p) = -p**2 + 21*p + 8. Calculate the remainder when t(16) is divided by 15.
13
Let m = 2 - 0. Suppose 0 = a + m - 4. Suppose 2 + 14 = a*p. What is the remainder when 22 is divided by p?
6
Suppose 3*x - 1 = 2. Suppose t - x = 2. Suppose 4*m = -k + 29 + 3, -21 = -t*k + 3*m. Calculate the remainder when 34 is divided by k.
10
Let p(d) = -d**2 + 11*d - 12. Let w be p(8). Suppose -3*i + i + 36 = 0. What is the remainder when i is divided by 1/4 - (-117)/w?
8
Let b = 7 - 35. Let j = b + -26. Let y = -38 - j. Calculate the remainder when y is divided by 6.
4
Suppose -2*h = 3*t - 28, 5*t = -0*t + 2*h + 36. What is the remainder when 29 is divided by t?
5
Suppose 5*d - 130 = 3*f, 5*d - d + 5*f - 67 = 0. Calculate the remainder when d is divided by 4.
3
Suppose -5*w - 41 = 5*m + 19, -3*w + 3*m = 54. Let a = 8 - w. Calculate the remainder when a is divided by 12.
11
Suppose 1 = p - 2. Suppose 3*r - 3*c + c - 20 = 0, -c - 25 = -p*r. Suppose -o = o - r. Calculate the remainder when 8 is divided by o.
3
Let n = 44 - 38. Calculate the remainder when ((-1)/(-2))/((-6)/(-264)) is divided by n.
4
Suppose -188 = -5*f - 63. What is the remainder when f is divided by 9?
7
Let a(w) = 39*w**2 - w. Suppose -5*l + m + 0*m + 6 = 0, -3 = -5*l - 2*m. Calculate the remainder when a(l) is divided by 20.
18
Let z(k) = k**3 - 5*k**2 - 5*k + 7. Calculate the remainder when 24 is divided by z(6).
11
Suppose -z + 43 + 8 = 0. Suppose -2*f - z = -3*f. What is the remainder when f is divided by 18?
15
Let s(d) = 7*d - 2. Let n = 2 - -1. Suppose n*f - 33 = k, 0*f + f + 5*k = -5. Calculate the remainder when s(3) is divided by f.
9
Let a(n) = n**3 - 10*n**2 - 10*n - 8. Let r = 4 + -2. What is the remainder when a(11) is divided by r?
1
Suppose 2*t - 3*g - 18 = 0, 3*t + 3*g + g = 27. Calculate the remainder when 13 is divided by t.
4
Let a(v) = 2*v - 6. Let y be a(-6). Calculate the remainder when 10/((-3)/(y/3)) is divided by 7.
6
What is the remainder when 21 is divided by 5/20 - (-86)/8?
10
Suppose 2*k - 4 - 8 = -4*x, -4*k = -x + 21. Let p = -3 - k. Calculate the remainder when 52 is divided by 16/p + 0 + 2.
16
Suppose y - 1 + 0 = 0. Let u(l) = l + 40. Calculate the remainder when u(0) is divided by (y - 2)/(5/(-70)).
12
Let d be -2*(-1)/4*-14. Let w(x) = x + 11. What is the remainder when 11 is divided by w(d)?
3
Let f be 4*1/(-2)*5. Let z = f + 14. Suppose d + z = 14. Calculate the remainder when d is divided by 6.
4
Let m = -57 + 89. Let y(f) = 7*f - 8. Calculate the remainder when y(10) is divided by m.
30
Suppose 2*p - 335 = 145. What is the remainder when p is divided by 61?
57
Suppose -3*f - 3*f + 78 = 0. Calculate the remainder when 24 is divided by f.
11
Let k = -83 + 95. What is the remainder when k is divided by 6?
0
Let m(i) = i**3 + 3*i - 2. Calculate the remainder when m(3) is divided by (-12)/(-15)*(14 + 1).
10
Suppose -5*z - 524 = -2*f, 0*f - 752 = -3*f - z. Suppose 5*w + 68 = 168. What is the remainder when 38 is divided by f/w + (-2)/(-5)?
12
Suppose 0 = -2*r - 139 + 217. Calculate the remainder when r is divided by 7.
4
Suppose 3*u - 5*d - 3 = 39, 5*u + 3*d = 104. What is the remainder when u is divided by 11?
8
Suppose 4*l - 150 - 6 = 0. Calculate the remainder when l is divided by 10.
9
Suppose 0*n - 12 = -2*a + 3*n, -5*a = -2*n - 41. Calculate the remainder when 49 + 5/(15/a) is divided by 1