6
Suppose -2*n + 530 = n - 5*f, 4*n = 3*f + 692. Calculate the remainder when n is divided by 19.
18
Suppose 0 + 6 = 2*j. Suppose j*s = 2*c - 10, 3*c + 3*s - 4 = -2*c. Suppose -c*p + p + 15 = 0. Calculate the remainder when 28 is divided by p.
13
Let w(r) = r**3 - 2*r**2 + r. Let m be w(2). Let i(u) = 8*u. Calculate the remainder when 45 is divided by i(m).
13
Suppose -5*u + 50 = 15. Calculate the remainder when 18 is divided by u.
4
Suppose 4*j - 5*k + 31 = 0, j - k - 4*k = 11. Suppose 6*c - c = 90. Let a = c - j. Calculate the remainder when a is divided by 17.
15
Let q(n) = -n - 5. Suppose -x + 5 = 0, -23 - 12 = 5*d + 3*x. Let v = -8 - -16. Calculate the remainder when v is divided by q(d).
3
Suppose -220 = -7*p - 3. Calculate the remainder when 92 is divided by p.
30
Let f = 8 - 3. Suppose 0 = f*g - 3*l - 70, -3*g + 26 = 4*l - 16. Let z(t) = t + 10. Calculate the remainder when g is divided by z(-5).
4
Let a(i) = 2*i**2 + 11*i - 7. Calculate the remainder when a(-7) is divided by 5.
4
Suppose -2*h + 7*h + 34 = 3*s, -11 = 3*s + 4*h. Calculate the remainder when 10 is divided by s.
1
Suppose 0*f = -2*f - 4*l, 35 = 4*f + l. What is the remainder when ((-2)/2)/((-1)/f) is divided by 6?
4
Suppose 0*t = -3*t + 135. Calculate the remainder when 89 is divided by t.
44
Suppose 2*g = g + 25. Let p(r) = 13*r - 4. What is the remainder when p(4) is divided by g?
23
Let l(y) = -y**3 + 4*y**2 - y - 2. Let d be l(5). Let n = 45 + d. Calculate the remainder when 38 is divided by n.
12
Let b(m) = m**2 - 2*m + 2. Let g be b(2). Suppose -g*v - 25 = -3*v. What is the remainder when v is divided by -3*(3 + (-22)/3)?
12
Let f = 33 - 11. Let c(n) = -n**3 - 28*n**2 - 3*n - 21. What is the remainder when c(-28) is divided by f?
19
Let c(p) = 2*p**2 + 7*p + 4. Let v = -7 - -10. Suppose 0 = 2*j + 4, -v*r + 31 + 18 = -2*j. Calculate the remainder when r is divided by c(-4).
7
Suppose -37 = -2*m - s, 4*s - 5 + 17 = 2*m. Calculate the remainder when 45 is divided by m.
13
Let u = -7 - -13. Suppose 5*f + 3*y - 60 = 5*y, -y = -2*f + 25. Calculate the remainder when f is divided by u.
4
Suppose 59 = 2*u - 3*p, p = -0*u + 3*u - 85. Suppose -4*x + u + 18 = 5*r, 0 = 5*x + 3*r - 64. What is the remainder when x is divided by (1 + -11)/(10/(-5))?
4
Suppose -4*t - 2*c = -96, -2*t + 2*c = 2*t - 112. What is the remainder when 49 is divided by t?
23
Suppose -3*a = -2*a. Suppose -2*o - 4*x + 26 = 0, -2*o + a*x - 2*x = -24. What is the remainder when o is divided by (-46)/(-6) - (-2)/(-3)?
4
Calculate the remainder when 41 is divided by (4/6)/(4/66).
8
What is the remainder when 41 is divided by 2*-1 + 7 + 6?
8
Suppose 4*x - 40 = 2*x. What is the remainder when 38 is divided by x?
18
Let x(f) = f**2 - 6*f + 2. Let c be x(6). Suppose 2*o = 4 + 2. What is the remainder when c/8 + 31/4 is divided by o?
2
Suppose 4*r - 80 = 6*b - 2*b, 3*b = 2*r - 41. Calculate the remainder when 110 is divided by r.
15
Let a(l) = l**3 + 5*l**2 - 6*l + 2. Let p be a(-6). Let k = p - -15. What is the remainder when k is divided by 9?
8
Let f = 33 + -20. Suppose 3*o - 2*o = 0. Suppose o = -0*a + 2*a - 50. Calculate the remainder when a is divided by f.
12
Let b = 5 + -6. Let j = 2 - b. What is the remainder when 8 is divided by j?
2
Suppose -3*r = -0*r. Calculate the remainder when 38 is divided by (-5)/((-2)/8 + r).
18
Suppose -5*w = -2*b - 2*b - 86, -2*w + 2*b + 36 = 0. Calculate the remainder when 54 is divided by w.
12
What is the remainder when 6 is divided by (-1)/(-2)*24/3?
2
Let c = -11 + 13. Suppose 5*v - 52 = -c*k, -5*k = 4*v - 3 - 42. Let y(g) = -g**2 + 9*g + 11. Calculate the remainder when y(v) is divided by 1.
0
Let g(y) = -y**3 - 9*y**2 + y + 4. Let v be g(-9). Let w = v - -19. Calculate the remainder when w is divided by 4.
2
Let z be 1/(2/102*-1). Let v = -18 - z. What is the remainder when v is divided by 17?
16
Suppose -6*b - 32 = -14*b. What is the remainder when 17 is divided by b?
1
Let v be (-38)/(-8) + 1/4. Suppose 0 = j - 0*j + v, g - 40 = 5*j. What is the remainder when g is divided by (-4)/6*(-48)/4?
7
Let q(p) = 9*p**2 + p + 1. Calculate the remainder when 139 is divided by q(-2).
34
Let f(s) = -s**2 - 5*s - 2. Let t be f(-4). Suppose -o - 1 = -3. Suppose o*q = -t*q + 76. Calculate the remainder when q is divided by 10.
9
Suppose 6 = 3*m + 3*t, -5*m - 5*t = -t - 14. What is the remainder when 14 is divided by m?
2
Suppose -5*v + 70 = -0*v. Suppose 0 = 2*x - 4*t - v, 8 = -4*x - 2*t + 36. What is the remainder when 13 is divided by x?
6
Let b be 140 + (-3)/(-6)*0. Let a = 215 - b. What is the remainder when a is divided by 19?
18
Let i(v) = v**2 + 9*v - 19. What is the remainder when 7 is divided by i(-11)?
1
Let q(y) = y + 21. Let w be q(-16). Suppose -2*o + 7 = 3*a, -o - 3 = o + w*a. What is the remainder when o is divided by 4?
3
Suppose 3*b = r - 5*r + 40, 44 = 4*b + 3*r. Let q = 334 + -198. Suppose 0 = 5*s - q - 19. Calculate the remainder when s is divided by b.
7
Suppose 3*b + 15 = 0, 4*m + 5*b = 296 - 33. Calculate the remainder when m is divided by 3/(6/50 - 0).
22
Suppose 0*x + 15 = x. Let l = 59 - 53. What is the remainder when x is divided by l?
3
Let o = 0 - -6. Let w(r) = r**2 - 9*r + 5. Let i be w(o). Let p = i + 48. What is the remainder when p is divided by 12?
11
Let g = 37 + -22. Calculate the remainder when 26 is divided by g.
11
Suppose 3*k - 2*t = 161, 0 = 2*k + 5*t - 54 - 28. Suppose -w + 9 + 9 = 0. What is the remainder when k is divided by w?
15
Suppose -15 = 3*h, 4*z + 5*h - 7 = -32. Suppose z = b - 5*b + 76. Suppose 3*s = 3*u + 15, s - 10 = -2*u + 1. Calculate the remainder when b is divided by s.
5
Suppose 0 = 33*y - 24*y - 324. Calculate the remainder when 107 is divided by y.
35
Let q(s) = -4*s**3 + 5*s + 12. Let y = -12 - -7. Let c(r) = r**3 + r**2 - 1. Let w(z) = y*c(z) - q(z). What is the remainder when 53 is divided by w(-5)?
17
Let i be ((-5)/4)/((-2)/(-8)). Let l = i + 5. Suppose l = f + f - 6. Calculate the remainder when 8 is divided by f.
2
What is the remainder when (4 + (-11)/2)*-62 is divided by 19?
17
Let p(s) = -s**3 - 6*s**2 + 4*s + 10. What is the remainder when p(-7) is divided by 8?
7
Suppose -4*k + 2 + 10 = 0. Suppose -c - 25 = -6*c. Let o = c + 4. Calculate the remainder when o is divided by k.
0
Let l(s) = 7*s + 1. Let k(j) = -j**3 + 5*j**2 - 5*j + 6. Let a be k(4). Calculate the remainder when 29 is divided by l(a).
14
Suppose 2*v + 0*v = -2*c + 12, 4*c - 2*v = 24. Suppose 5*h + c + 4 = 0. What is the remainder when (-3)/(74/40 + h) is divided by 7?
6
Let t(z) = -z**3 - z**2 - z - 5. Let u be t(-4). Suppose 5*r - 3*o = o + 208, r + o - u = 0. What is the remainder when r is divided by 50/(-4)*60/(-50)?
14
Suppose 8*h - 3*h - 115 = 0. Let g be -4 - (9 - (7 - 3)). Let v = h + g. Calculate the remainder when 40 is divided by v.
12
Let a = 4 - -1. Suppose -6*u + 2*u - n = -92, u + a*n - 23 = 0. What is the remainder when u is divided by (-2)/1*6*-1?
11
Let k(a) = -a**3 - 8*a**2 + 13*a - 1. Let f be k(-9). Let r = 47 - 34. What is the remainder when f/(-1)*(1 + 0) is divided by r?
11
Let c = 27 + -21. What is the remainder when c is divided by 3?
0
Let t(p) = p + 47. Let l(x) = x**2 + 16 + 0 + x + 0*x. Calculate the remainder when t(0) is divided by l(0).
15
Suppose -3*z - 2*z = -5*w - 180, -119 = -4*z - w. What is the remainder when 60 is divided by z?
29
Suppose 3*k + 0*k = 102. Suppose -f + 29 = 4*x - 0*x, x + 40 = 5*f. What is the remainder when k is divided by f?
7
Let f = 8 - 2. Let v = f - -41. What is the remainder when v is divided by 12?
11
Let q be 12/(-5) - 4/(-10). What is the remainder when q/(-4) - 10/(-4) is divided by (-1)/(-4) + (-14)/(-8)?
1
Let q be 1*5 - (-1 - -2). Suppose 0 = -3*h + 2 + q. Calculate the remainder when (-78)/(-4) + 1/h is divided by 11.
9
Let l(f) = 1 + 9*f + f**2 + 2 + 4 - 2*f. Calculate the remainder when 13 is divided by l(-7).
6
Let s(h) be the third derivative of h**6/120 - h**5/12 + h**4/6 + h**3/6 - 2*h**2. What is the remainder when s(6) is divided by 21?
19
Suppose 4*j = -3*l + 65, 0*l - 68 = -4*j - 4*l. Suppose n - 4 = 12. Suppose -v + n = v. What is the remainder when j is divided by v?
6
Let s = -21 + 37. Calculate the remainder when 24 is divided by -3 + s*-1*-1.
11
Suppose -2*x