d by o(-27).
8
Suppose p = 4*w - 135, -5*p - 1 = -6*p. What is the remainder when w is divided by 22?
12
Suppose 5*s - 8 = 2. Let f(q) = 0*q**2 - 5*q - q**s + 18 + 1 + 3*q. Calculate the remainder when f(0) is divided by 5.
4
Suppose 0 = -4*t - 0*o + 5*o + 181, -5*o + 215 = 5*t. What is the remainder when 864/10 - (-28)/(-70) is divided by t?
42
Let n = 116 - 79. Calculate the remainder when 103 is divided by n.
29
Let u(r) = -r**3 - 9*r**2 - 28. What is the remainder when u(-12) is divided by 17?
13
Let z(o) = -8*o + 4 + 2 - 25 - o**2. Let d be z(-13). What is the remainder when (-164)/(-14) + (-24)/d is divided by 7?
5
Suppose -2*i + 9 = i. Suppose n - 19 = 2*p, -4*p = -i*n + p + 53. What is the remainder when 2/n + (-1530)/(-55) is divided by 10?
8
Suppose 290 = 5*m - 5*y, y = 3*m - 132 - 32. Calculate the remainder when m is divided by 19.
15
Suppose 0 = -5*c + 3*c + 4. Suppose 3*b - 4*g + 2 = c*b, 4*b - 52 = 4*g. Let w = 2231 + -2160. What is the remainder when w is divided by b?
17
Let a(b) = -b**3 + 6*b**2 + 6*b - 23. What is the remainder when 78 is divided by a(4)?
12
Suppose -3*d + 10 = -5*d, 0 = 5*x + 3*d + 5. Let w = x + 23. What is the remainder when w is divided by 7?
4
Suppose 0 = -5*x - 0*x. Suppose c - 3 = -x. Suppose -3 + 14 = s - 2*o, 32 = c*s - 5*o. Calculate the remainder when s is divided by 4.
1
Let z be -21 + 23 + (-2)/(-2). Suppose -z*x - 15 = -0*x, 4*x = m - 26. Calculate the remainder when 13 is divided by m.
1
Suppose -251*i - 440 = -261*i. What is the remainder when i is divided by 9?
8
Let a be (-24)/(-9)*(-12)/(-16). Let z be -1 - (3 + (a - 11)). Suppose -z*d - s + 30 = -18, 3 = s. What is the remainder when d is divided by 4?
1
Let u = -4 - -6. Let p = u - 1. What is the remainder when 2 - (-3)/(-12)*0 is divided by p?
0
Suppose 0 = k - 5*y - 55, -5*y + 7*y = -3*k + 199. What is the remainder when k is divided by 11?
10
Let o(z) = 3*z**2 - 3*z - 2. Let n be o(2). Let t(v) = -16*v - 4. Let c be t(n). Let m = 17 - c. What is the remainder when m is divided by 29?
27
Suppose -g + 7*g = 12. Suppose 5 = -0*z + z, -h + 10 = -g*z. What is the remainder when 57 is divided by h?
17
Let q(t) be the first derivative of -3*t**2/2 - 4*t - 9. Let f be (1 - 4) + 6*-1. What is the remainder when q(f) is divided by 5?
3
Suppose -16*h + 155 = -15*h. What is the remainder when h is divided by 54?
47
Let r be (-1)/4 - 9/(-12)*23. Let d = r - 6. What is the remainder when 53 is divided by d?
9
Let i(h) = 10*h - 7. Suppose t - 1 - 1 = 0. Suppose 3*u - 55 = -t*u. Calculate the remainder when i(5) is divided by u.
10
Let o = -37 - -43. Let b = o + 9. What is the remainder when 43 is divided by b?
13
Let v(x) = -x**2 + 12*x. Let u be v(12). Suppose 32 = 8*p - u*p. Calculate the remainder when p is divided by (-2)/((-2)/(-1))*-3.
1
Suppose -z + 35 = -75. Let h = -98 + 207. Suppose 3*j - j = -3*q + h, -2*j - 4*q = -z. Calculate the remainder when j is divided by 18.
17
Suppose -161*w + 164*w - 42 = 0. Let m(g) = 5*g + 13. Calculate the remainder when m(11) is divided by w.
12
Calculate the remainder when 261 is divided by 1530/165 - (-12)/(-44).
0
Let j = 4 - -36. Let s = -42 - -48. Calculate the remainder when j is divided by s.
4
Suppose -35*p = -10*p - 975. What is the remainder when 817 is divided by p?
37
Let h = 24 - 17. Let x(r) = r**2 + 4*r + 4. Let o be x(-1). What is the remainder when (10 - 5/o) + 8 is divided by h?
6
Let d be 43 + (-3 - -4) - (-1 - -3). Let p = d + -27. Calculate the remainder when 43 is divided by p.
13
Let c = 283 - 240. Calculate the remainder when c is divided by 13.
4
Let p(u) = -4*u**3 - 8*u**2 + 2. What is the remainder when p(-4) is divided by 34?
28
Suppose 5*a - 5*x = 720, a - 7*x = -9*x + 150. What is the remainder when a is divided by 49?
48
What is the remainder when -4 - (-110 + -6)/1 is divided by 58?
54
Suppose -220 = -42*d + 32. Calculate the remainder when 133 is divided by d.
1
Let n(m) = -m**3 - m**2 + m - 1. Let q(d) = 6*d**3 - 11*d + 11. Let s(u) = 5*n(u) + q(u). Calculate the remainder when 59 is divided by s(6).
5
Calculate the remainder when 2/(-3)*(-1701)/18 + -1 is divided by 11.
7
Suppose -7*i + 8*i + 27 = 0. Suppose 0 = 5*n - 2*n - t - 43, 0 = 2*n + 2*t - 18. Calculate the remainder when 1/((-1)/i) + 4/(-2) is divided by n.
12
Let t(h) = 2*h**3 - 4*h**2 + h + 1. Let w be t(4). Suppose 71*j = w*j + 164. Calculate the remainder when j is divided by 14.
12
Calculate the remainder when 255 is divided by -4 - 4/16*-76.
0
Let f = 689 + -629. What is the remainder when f is divided by 21?
18
Let f = -2 + 20. What is the remainder when 107 is divided by f?
17
Let y(k) = k**3 + 5*k**2 - 8*k - 5. Let s be y(-5). Let v = s - 32. Calculate the remainder when 3 is divided by v.
0
Suppose 0 = -3*x + 164 + 61. Let y = 66 - 41. Suppose 4*g - 27 = y. What is the remainder when x is divided by g?
10
Suppose 0 = -z - z + 3*l + 14, 10 = z - 3*l. Suppose 4*f = 3*w + 20, w - z = -3*f - 2. Suppose -14 = -f*s + 32. Calculate the remainder when 68 is divided by s.
22
Suppose -2*m = -2*i - 46, -3*m + 2*i + 37 = -29. What is the remainder when 177 is divided by m?
17
Let t = -24 - -29. Suppose 0 = -2*c - 2 + 14. Calculate the remainder when c is divided by t.
1
Let g be (-42)/189 + 2/9. Suppose 5 = p, -3*h + p + 170 + 212 = g. What is the remainder when h is divided by 33?
30
Let f(y) = y**3 - 6*y**2 - y - 25. What is the remainder when 76 is divided by f(7)?
8
Let p be ((-2)/8)/((-5)/20). Suppose -3 = -4*f - 3*x + p, 4*f - 5*x = 36. What is the remainder when 23 is divided by f?
3
Let b(t) = -3*t**2 - 6*t - 6. Let w be b(-3). Let q = w + 25. Suppose y - 2*c - 3*c - 27 = 0, y + 3*c - 43 = 0. Calculate the remainder when y is divided by q.
7
Suppose 3*u - 5 = z, -3*u = -2*z - 2*u + 5. Suppose 0 = 2*w - 3*i + 34, z*w - i = 3*w - 15. Let t = w - -28. Calculate the remainder when 31 is divided by t.
14
Calculate the remainder when (230/((-100)/(-10)))/(3/21) is divided by 56.
49
Let f(d) = -d - 7. Let k be f(-10). Suppose -2*b - 105 = -5*s, -3*b = k*s + 2*b - 32. Calculate the remainder when 36 is divided by s.
17
Suppose -3*r + 7*r + 6 = 5*c, c + 2 = 4*r. Suppose c*s + 25 = -31. Let m = 40 + s. What is the remainder when 32 is divided by m?
8
Let w = -197 - 118. Let o(j) = -j**3 - 5*j**2 + 5*j - 1. Let z be o(-6). What is the remainder when z/(-10) + w/(-6) is divided by 14?
10
Suppose 164 = 3*n - 31. Calculate the remainder when n is divided by 1*(-16)/(-4) - -29.
32
Let o(c) = -22*c + 83. What is the remainder when 46 is divided by o(3)?
12
Let h be (4 - -29) + -1 + 1*-2. Suppose -2*n + 34 = 2*s, -s + 2*n - 10 = -h. What is the remainder when 105 is divided by s?
15
Let h be (237 - 1)*(1 - 0). Suppose 3*b = -b + h. What is the remainder when b is divided by 21?
17
Let m be (4/1 - 48)*-1. Suppose 0*i + 3*i - 31 = 2*q, -m = -4*i + 2*q. What is the remainder when i is divided by 9?
4
Suppose -2*y = -4*k - 1466, -5*k + 172 + 533 = y. What is the remainder when y is divided by 6?
5
Let m(t) = 272*t**2 + 6*t + 2. Let i be m(-2). Suppose -11*b + i = -0*b. What is the remainder when b is divided by 50?
48
Let y = -83 + 53. What is the remainder when ((-2)/(-3))/(2/183) is divided by (-2)/(1 - 4/(-104)*y)?
9
Let o(k) = 2*k**2 + 3*k + 2. Let x be (1 - -2)/((-12)/16). Let i = -199 - -286. What is the remainder when i is divided by o(x)?
21
Let t(k) = k**2. Let a(w) = -9*w**2 + 2*w + 3. Let f(o) = -a(o) - 5*t(o). What is the remainder when f(-3) is divided by 6?
3
Suppose -58 = -v + 5. Suppose 7*i = 4*i + v. Calculate the remainder when 62 is divided by i.
20
Let d = -13 + 25. Suppose -25 = 4*l - 9. What is the remainder when d is divided by 5 - 2 - 0/l?
0
Let s(r) = 30*r - 3. Suppose 15*m = 11*m + 12. Suppose p - 5*p + 3*z + 4 = 0, 5*z - 3 = -m*p. Calculate the remainder when s(p) is divided by 10.
7
Let l be 120*-2*2/12*-4. Suppose -l = 15*q - 20*q. What is the remainder when q is divided by 20?
12
Suppose -872 = 29*h - 11283. Calculate the remainder when h is divided by 179.
1
Let b = 27 + -16. Let q = 103 - 31. Suppose -q - 28 = -5*y. Calculate the remainder when y is divided by b.
9
Suppose -4*t + 4*g + 20 = t, 2*t - g = 8. Calculate the remainder when (-6)/((-578)/187 + 3/1) is divided by t.
2
Suppose 61*v - 2