). Suppose -y = z - 4*w, -w = -3*z + 17 - 5. Let n = -20 + 29. Calculate the remainder when n is divided by z.
4
Let l = 19 + 5. Suppose w = 3*w - 26. Calculate the remainder when l is divided by w.
11
Suppose 3*q = -2*q + 5, -5*r + 4*q - 24 = 0. Calculate the remainder when ((-6)/r)/((-5)/(-10)) is divided by 2.
1
Let o(d) = d + 2. Let x be o(0). Suppose 0 = x*m - 2*q, 0 = -3*m - 2*m + 3*q + 8. Let i = 39 - m. Calculate the remainder when i is divided by 12.
11
Suppose 0 = 4*j + 3*l - 574, l - 3*l = 5*j - 721. Calculate the remainder when j is divided by 37.
34
Let l be 2 + (-1*2)/(-1). Suppose -15 = 5*i, -l*i = 5*p - 4 - 19. Suppose -4*n - 38 = -6*n. Calculate the remainder when n is divided by p.
5
Suppose 0 = -3*z + 2*z + 4. Let u be 3/(-2)*2*-1. What is the remainder when (-42)/z*(-8)/u is divided by 15?
13
Suppose -92 = -5*q + 8. What is the remainder when q is divided by 11?
9
Suppose 60 = 3*f - j - 2*j, 0 = -4*f + 2*j + 76. What is the remainder when 53 is divided by f?
17
Let z(r) = 6*r**2 + r. Let k = 10 + -2. Calculate the remainder when z(-2) is divided by k.
6
Let k(s) = -28*s - 1. Let p(y) = -y. Let u(x) = k(x) + 2*p(x). What is the remainder when u(-1) is divided by -9*(1 + 24/(-9))?
14
Suppose -6*g + 20 = -2*g. Calculate the remainder when 17 is divided by g.
2
Suppose 0 = 6*f - 7*f + 15. Suppose -5*w = f + 20. What is the remainder when 2/w + (-90)/(-21) is divided by 2?
0
Let l(t) = t**3 - 6*t**2 + 3*t - 2. Let s = 0 + 6. Let j be l(s). Suppose -u + 5 + j = 0. What is the remainder when u is divided by 11?
10
Let t(m) = -m**2 + 2*m + 2 + 8 - 3*m. What is the remainder when t(0) is divided by (32/(-24))/(3/(-9))?
2
Let r(l) = l**3 + 10*l**2 + 8*l + 8. Calculate the remainder when 65 is divided by r(-9).
14
Let w(a) = -13*a - 1. Let x be w(2). Let s be ((-2)/(-3))/((-6)/x). Calculate the remainder when 8/(-12) - (-47)/s is divided by 4.
3
Let z(n) = 2*n**2 - n - 1. Suppose -3*v = 2*d - v - 44, -2*d = -3*v - 19. Calculate the remainder when d is divided by z(-2).
8
Calculate the remainder when 34 is divided by (-57)/15*(-2 - (2 - -1)).
15
Suppose l = 2*p + 23, 2*p - 6*p = 2*l - 78. What is the remainder when l is divided by 21?
10
What is the remainder when 20 is divided by (-117)/(-45)*(10/1)/2?
7
Let n = -10 - -24. Calculate the remainder when 41 is divided by n.
13
Suppose 0 = -3*g - 0*g + 9. Suppose -q = -1, -g*p + 2*q + 2 = -2*q. What is the remainder when p is divided by 1?
0
Suppose -2*j = -9 - 5. Let a(b) = b + 1. Let t be a(3). Suppose -2*p + t*p = 50. Calculate the remainder when p is divided by j.
4
Suppose 20 - 8 = -4*o, 65 = 5*g - 5*o. What is the remainder when 27 is divided by g?
7
Let w(h) = -h + 3. Let m be w(7). Let a(k) = -13*k - 5. Let i be a(m). What is the remainder when i + (-1 - -1) + -1 is divided by 16?
14
Let f = -570 - -319. Let w = f + 354. What is the remainder when w is divided by 21?
19
Let s(y) = y**2 - 6. Let o(g) = g**2 + g + 16. What is the remainder when s(6) is divided by o(0)?
14
Suppose -5*a + a = -16. Let p be 0/1 - (-3 - -1). Suppose p*l + j + 11 = 3*l, -l - 2*j + 8 = 0. What is the remainder when l is divided by a?
2
Suppose -5*p - 2*v = -20, 0 = p - 3*v - 5 + 1. Suppose 2*u - p = -14. Let r(w) = w**2 + 4*w - 1. Calculate the remainder when r(u) is divided by 2.
0
Calculate the remainder when 50 is divided by 26/4*(-2 - -4).
11
Let c be 2/(-4)*(-12)/1. Suppose -c*u + 2*u + 24 = 0. Let v = u + -5. Calculate the remainder when v is divided by 1.
0
Let h(d) = 16*d - 12. What is the remainder when h(8) is divided by 24?
20
Let h be (-1)/(-2)*(0 + 0). Suppose -x + h = -3. Calculate the remainder when 11 is divided by x.
2
Let d(y) = 4*y**2 + y + 1. Let r be d(-1). Suppose r*w + 0 = 8. Suppose -2*x + 19 = 4*l - 5*x, x + 5 = 0. What is the remainder when w is divided by l?
0
What is the remainder when (-4)/2*(-30)/4 is divided by 8?
7
Let z(m) = m**2 - 3*m + 3. What is the remainder when 1 is divided by z(2)?
0
Let d(m) = -m**2 + 1. Let w be d(1). Let q(v) = -v + 12. Suppose 0 = -5*b + 192 - 17. Calculate the remainder when b is divided by q(w).
11
Suppose p = -0*p. Suppose p*s - s + 11 = 0. Let i = 7 + 25. What is the remainder when i is divided by s?
10
Let q = 26 + -17. Suppose 3*z = -4*y + 15, -z - z = -y - 10. Suppose y = -3*u + 1 + 50. Calculate the remainder when u is divided by q.
8
Suppose -b - 40 + 133 = 0. Calculate the remainder when b is divided by 32.
29
Let t = 16 - -8. Suppose 0 = 4*b + 3*d - 219, 3*b - 162 = d - 4*d. Suppose -4*s = 5 - b. Calculate the remainder when t is divided by s.
11
Let w(u) = u**2 - 10*u + 2. Let y be w(10). Suppose 0 = 7*f - y*f - 50. Calculate the remainder when f is divided by 2.
0
Suppose z + 0 - 24 = 0. Let u(h) = h**2 - 4*h + 2. Let s be u(4). Calculate the remainder when z is divided by -2 - (s + (-20 - -3)).
11
Let l = -27 - -42. Suppose -4*p + 15 = -p. Suppose -p*h + 136 = -79. Calculate the remainder when h is divided by l.
13
Suppose -132 = -8*l - 44. What is the remainder when 64 is divided by l?
9
Let u = -240 + 369. Calculate the remainder when u is divided by 26.
25
Let k = 28 + -11. Calculate the remainder when 31 is divided by k.
14
Suppose -g = -2*p - 5 - 10, -4*g - 2*p + 60 = 0. Calculate the remainder when 36 is divided by g.
6
Let w(j) = -j**2 - 8*j - 12. What is the remainder when 1 - -1*(8 - -1) is divided by w(-3)?
1
Let a(y) = 15*y**2 - 1. Suppose -22*w - 8 = -24*w. What is the remainder when a(1) is divided by w?
2
Suppose 6*u - u - o = 125, 100 = 4*u - 4*o. Calculate the remainder when 71 is divided by u.
21
Let r(l) = l**2 + 2*l + 27. What is the remainder when r(0) is divided by 10?
7
Let y be (-1)/3 - 76/(-3). Suppose -2 = m - z, 3*m - y + 1 = -3*z. Calculate the remainder when 3*((-8)/(-32) - 26/(-24)) is divided by m.
1
Let m be ((-5)/2)/((-2)/(-4)). Let l = 8 + m. Suppose 0 = 2*y + 2, 0*o = -2*o - l*y + 3. What is the remainder when 8 is divided by o?
2
Let i be 2 + 3*2/(-2). Calculate the remainder when 28 is divided by i - ((-12 - 0) + 1).
8
Let h be 56/21 - (-2)/(-3). Let k(j) = 3*j + j - 2*j - 3*j + h. Calculate the remainder when 22 is divided by k(-6).
6
Suppose 3 = -0*p + p - 2*w, p = -5*w - 4. What is the remainder when 75*p/9*3 is divided by 9?
7
Suppose 3*h + 270 = 8*h. What is the remainder when h is divided by 28?
26
Let i be (2 + -4)*(-11 + -1). Let u(t) = 2*t + i + 3*t + 2 - 4*t. What is the remainder when u(0) is divided by 9?
8
Suppose -6*j - 454 + 1372 = 0. Calculate the remainder when j is divided by 39.
36
Suppose l - 4*x + 4 = 0, l - 3 = -3*l - 3*x. Suppose d - 2 = -l*d. Calculate the remainder when 22 is divided by -1*(-36)/(d + 1).
10
Let u = 6 + 4. What is the remainder when 2 - ((-28)/(-84))/(2/(-102)) is divided by u?
9
Let j = 70 + -47. Suppose 3*h - b = 19, -h + 5*b = 4*h - 15. What is the remainder when j is divided by h?
7
Let t(y) = 2*y - 5. Let j be t(4). Suppose 5*d + j*q = 25, -4*q - q + 31 = 3*d. Suppose -4*k + 20 = -d*k. Calculate the remainder when k is divided by 6.
4
Suppose -v - 12 = -65. Let d = 7 - 3. Suppose 0*s - 56 = -d*s. What is the remainder when v is divided by s?
11
Suppose -2*c - 4 = -4*c. Suppose 0 = c*w - w - 3. Suppose -w*b + 106 = -j, -6*j + 137 = 4*b - 3*j. Calculate the remainder when b is divided by 12.
11
Suppose -2 = -3*i + 5*s + 9, 0 = 5*i - 2*s - 12. Suppose -173 = -3*x - 2*k + 6, -187 = -3*x + i*k. What is the remainder when x is divided by 31?
30
Suppose 18 + 30 = 3*v. Let t = 63 + -32. What is the remainder when t is divided by v?
15
Suppose -5*k = -29 + 4. Suppose k + 1 = 2*t. Suppose -t*f - 2*f + 170 = 0. Calculate the remainder when f is divided by 18.
16
Let g = -8 - -31. What is the remainder when g is divided by 5?
3
Let u = -276 + 425. Calculate the remainder when u is divided by 51.
47
Let b(o) = 15*o**2 + o - 1. Let q = 5 + -7. Calculate the remainder when b(q) is divided by 15.
12
Suppose 3*j = 8*j - 3*s - 96, -j + 4*s + 9 = 0. Calculate the remainder when 82 is divided by j.
19
Let s(b) = 3*b - 11. Let y(n) = 8*n - 32. Let a(z) = -17*s(z) + 6*y(z). Calculate the remainder when 13 is divided by a(-4).
6
Suppose 4*i + 117 = 3*f, -3*i = -f - f + 79. Calculate the remainder when 67 is divided by f.
32
Suppose -q + 49 = -44. Calculate the remainde