*g, 0*x = -4*g - x + 27. Let z = -12 - -17. Calculate the remainder when g is divided by z.
2
Let t = 47 + 27. Calculate the remainder when t is divided by 25.
24
Suppose 3*m = -0*m + 57. Calculate the remainder when m is divided by 7.
5
Suppose -4*l + 72 = -3*i, 14 = 2*l + i + 3*i. Calculate the remainder when (-13 + 2)/((-3)/l) is divided by 14.
13
Let z(i) = 63*i**3 - 2*i**2 - i + 1. What is the remainder when z(1) is divided by 14?
5
Let g(t) = t + 6. Let z(q) = -q**3 + 3 + 2*q + 3*q**2 - 3 - 1. Let j be z(3). Calculate the remainder when 32 is divided by g(j).
10
Suppose -4*f = -f - 18. Calculate the remainder when 8 is divided by f.
2
Let l(t) be the second derivative of t**4/6 - t**3/3 - t**2 + 3*t. Calculate the remainder when 17 is divided by l(3).
7
Calculate the remainder when 73 is divided by 0 + 57/9*3.
16
Suppose 4 + 21 = 5*f. Let s(u) = 2*u. Let h be s(1). Suppose 4*c = -2*v + 8, h*v - 4*v = 2*c - 6. Calculate the remainder when f is divided by v.
1
Let o(c) = -15*c - 1. Let r = 22 + -7. What is the remainder when o(-3) is divided by r?
14
Let y(o) = 12*o + 2. What is the remainder when y(2) is divided by 7?
5
Let n = -39 - -115. What is the remainder when n is divided by 11?
10
Let o = -28 + -47. Calculate the remainder when 43 is divided by (o/2)/5*-2.
13
Suppose -77 = -3*k + 4*z, 2*k + 5*z = -k + 32. What is the remainder when k is divided by 11?
8
Let u be (-1 + 3 - 6)*1. Let a be (u/5)/((-1)/100). Suppose 4*z + o = a + 4, 4*o = -4*z + 72. Calculate the remainder when z is divided by 8.
6
Suppose -14 = -3*c + 5*z, 0*z + 24 = 4*c - 4*z. Let r be ((-6)/(-4) + -1)*c. Suppose r*s - 3*s = 14. What is the remainder when 27 is divided by s?
13
Let b = -37 - -17. Let s be 12/5 + 8/b. Suppose -2*t + u = -22, -2*t = -4*t + s*u + 18. What is the remainder when 38 is divided by t?
12
Let g = 63 - 42. Calculate the remainder when 41 is divided by g.
20
Let n(p) = 4*p**2 - 2. Let v(o) = o**2 - o - 2. Let i be v(0). Let g(u) = -5*u - 39. What is the remainder when g(-13) is divided by n(i)?
12
Let l = 2 + 0. Suppose 0*r - l*r = -52. Calculate the remainder when r is divided by 14.
12
Suppose -5*i = -13 - 7. Suppose -4*h + 3*c = -i, 3*h - 2*c - 3 = -1. Let l = h - -12. Calculate the remainder when 18 is divided by l.
8
Let h = 92 - 55. What is the remainder when h is divided by 22?
15
Let v = 0 + 1. Let k = v - -2. Suppose 3*l - 2*l = 8. Calculate the remainder when l is divided by k.
2
Let w = -11 + 7. Suppose 0 = 4*f - 10*f + 42. Let r = w + f. What is the remainder when 4 is divided by r?
1
Suppose -16 = -5*v + 29. Suppose -s = -10 - v. What is the remainder when s is divided by ((-6)/(-4))/((-3)/(-20))?
9
Suppose -q - 4 = -3*q. Let b = q + 25. Calculate the remainder when b is divided by 14.
13
Suppose 0 = -5*y - 0 + 220. Let l = -25 + y. Let b = 172 + -117. What is the remainder when b is divided by l?
17
Suppose -4*f + 6 = -f. Calculate the remainder when 1/(-3) + 74/6 is divided by f - (-3 + -3 + 1).
5
Let w(z) = -z. Let f be w(-2). Suppose 0*v - 2*v + f = 0. Let a(r) = 2*r**2 + r. Calculate the remainder when v is divided by a(-1).
0
Suppose -g - 16 = 3*g, 0 = -3*j - g + 2. Suppose -3*d - d + 142 = -2*h, -5*h - 151 = -4*d. Calculate the remainder when d is divided by j/(-4)*9*-4.
16
Suppose -53 = -2*v + 3*r, 0 = -0*v - v + r + 29. Suppose -3*m - 9 = 0, -2*m - v = -4*k - 4*m. Calculate the remainder when k is divided by 4.
2
Let a = -8 - -5. Let q = a + 3. Suppose 0 = -q*w + 2*w - 10. Calculate the remainder when 9 is divided by w.
4
Suppose 0 = -5*l - 24 + 64. Suppose 2*x + 2*x - l = 0. Calculate the remainder when (1 - 2)*(x - 16) is divided by 8.
6
Let a(r) = -6*r + 6. Let z be a(3). What is the remainder when 7 is divided by (-27)/z + (-3)/12?
1
Let v(g) = g**2 + 8*g + 10. Let o be v(-7). Suppose -36 = o*y + 21. Let q = y - -31. Calculate the remainder when 34 is divided by q.
10
Suppose z = -2*p + 6, -5*z + 5*p - 6 = -21. Suppose 2*q - 12 + z = 0. Calculate the remainder when 6 is divided by q.
2
Suppose 0 = 3*n + 18. Calculate the remainder when 81 is divided by n/8 - (-87)/4.
18
Let o = -6 - -19. Calculate the remainder when (-38)/3*-1*3 is divided by o.
12
Let p = -37 + 66. What is the remainder when p is divided by 10?
9
Let y be 124/44 + 6/33. Let c = 26 - y. Suppose -3*s + 3 = 0, 3*i - 63 = -2*i - 3*s. Calculate the remainder when c is divided by i.
11
Let a be 23/6 - (-3)/18. Suppose -4*q + 52 = -2*n + n, 13 = q - a*n. Calculate the remainder when 51 is divided by q.
12
Let o(c) = 15*c + 1. Let w = -19 - -46. What is the remainder when o(7) is divided by w?
25
Suppose -2*z - 4*r + 20 = 0, -4 = z - 5*z + 4*r. Suppose z*u = -0*u + 20. Calculate the remainder when u is divided by 4.
1
Let w(r) = -3*r - 10. What is the remainder when 67 is divided by w(-15)?
32
Let d = 3 - -2. Suppose -5*h - 12 - 13 = d*w, -w - 5*h = 1. What is the remainder when (-10)/3*9/w is divided by 2?
1
Let q(u) = u**3 - 8*u**2 + 14*u - 25. Calculate the remainder when 141 is divided by q(7).
21
Let a(f) = 4*f**3 - 2*f**2 + 2*f - 1. What is the remainder when 12 is divided by a(1)?
0
Suppose 2*y = 6*y + 52. Let g = y - -22. What is the remainder when 25 is divided by g?
7
Suppose p - 21 = -1. What is the remainder when p is divided by 8?
4
Suppose -2*d = -h - 13, -d - 4*h + 18 + 2 = 0. Suppose -j = 3*j + 100. What is the remainder when -2*1 - 1*j is divided by d?
7
Suppose 4*m + x = 32, -m - 3*m + 48 = -3*x. Calculate the remainder when -1 + 3 + 1 + 2 + 11 is divided by m.
7
Let l = -28 - -34. Calculate the remainder when 23 is divided by l.
5
Let m = 82 + -41. Suppose -4*t + 3*j + 115 = 0, -4*j = 14 + 6. Let u = m - t. Calculate the remainder when u is divided by 9.
7
Let d be (1 - (2 - 2)) + 40. Let s = -18 - -4. Let h = s + d. Calculate the remainder when h is divided by 14.
13
Let p be ((-12)/(-18))/(2/9). What is the remainder when 1 + 2 + 15 + p is divided by 8?
5
Suppose 2*n - 4 = 2. Suppose -5*y = -3*u - 21, 3*y = n*u + 4 + 5. Suppose 3*t + 5*d - 3*d - 46 = 0, 2*d + 2 = 0. Calculate the remainder when t is divided by y.
4
Let m(u) = 54*u**2 + 3*u. Calculate the remainder when 201 is divided by m(-1).
48
Suppose -3*d - 172 = -7*d. Calculate the remainder when d is divided by 15.
13
Suppose -4*s - 6 = -42. What is the remainder when 66 is divided by s?
3
Suppose 8*y - 4*y = -12. Let k(n) be the first derivative of 4*n**3/3 + n**2 + n - 2. Calculate the remainder when k(y) is divided by 11.
9
Let t be (-2)/(-5) + (-135)/25. Let h = 28 + t. Suppose 5*n = -r - 0*r + 9, -5*r - 3*n = -h. Calculate the remainder when 10 is divided by r.
2
Let o(v) = v**3 - 9*v**2 + 11*v - 8. Let k = 195 - 133. What is the remainder when k is divided by o(8)?
14
Let g(j) = -j**3 + 6*j**2 + 4*j + 2. Let y = -3 - -9. What is the remainder when g(y) is divided by 7?
5
Suppose -2*u = 3*j - 25, -2*j + 3*u + 0 + 8 = 0. What is the remainder when (-2)/(-2) + 19 + 0 is divided by j?
6
Let x(k) = -5*k + 1. Let o be x(-1). Let l = o - -1. Let j(a) = a**3 - 7*a**2 + 8. Calculate the remainder when 22 is divided by j(l).
6
Let l be 0 + -3 + (51 - -4). Calculate the remainder when 19 is divided by l/5 - (-22)/(-55).
9
Suppose -2*l + 5*l - 42 = 0. What is the remainder when (9/(-24))/(-1) - (-2050)/80 is divided by l?
12
Let x = 36 + -25. Calculate the remainder when 107 is divided by x.
8
Suppose 2*f - 6*f = -8. Calculate the remainder when 25 is divided by 52/4 - (-2 + f).
12
Let r = 62 - 57. Suppose 3*i - 13 = j, -i - 2*j = i + 2. What is the remainder when r is divided by i?
2
Suppose -3*n = -101 + 41. What is the remainder when 78 is divided by n?
18
Suppose -4*d = -0*d + 292. Let f = -41 - d. Calculate the remainder when f is divided by 9.
5
Suppose -7 = -5*y + 23. Let r(o) = -4*o + 12. Let g be r(6). Calculate the remainder when (y/(-9))/(2/g) is divided by 2.
0
Let r(l) = -l**2 - 10*l - 4. Suppose 14 = -5*w - 31. Let c be r(w). Suppose c = 2*g + 3*g. What is the remainder when g is divided by 1?
0
Let h be 0/(-3) - 6/2. Suppose -3*c = -6*c + 27. What is the remainder when c is divided by 9/(-6)*10/h?
4
Let g be (-11 + 18)/(2/12). Calculate the remainder when 61 is divided by -3*2*(-112)/g.
13
Suppose 3*k = -h + 104, 5*h - 160 = -2*k - 3*k. Calculate the remainder when k 