f = -z. Calculate the remainder when z is divided by 6.
5
Suppose -2*t - 3*v = -3*t + 50, 0 = -4*t + v + 156. Calculate the remainder when t is divided by 8.
6
Let k(y) = y**3 + 19*y**2 + 17*y + 41. What is the remainder when k(-18) is divided by 34?
25
Let b = -15 + 6. Let x(t) = -2*t + 4. Let a be x(-6). Let m = a + b. What is the remainder when m is divided by 3?
1
Let a be -2 + 1 - (1 - -1). Let s = -6 - a. What is the remainder when 2 + (5 - (s - -2)) is divided by 5?
3
Let y be (-3)/(-1)*(-2)/(-3). Let t(u) be the second derivative of u**4/6 - u**3/6 - u**2/2 - 5*u. Calculate the remainder when 8 is divided by t(y).
3
Let j = -119 - -83. Let r(l) = l**2 + 6*l + 7. Let n be r(5). Let c = n + j. What is the remainder when c is divided by 14?
12
Let s = 4 + -1. Calculate the remainder when 6 + (-2 + 4)/(-2) is divided by s.
2
Let v(d) be the third derivative of 0 + 1/15*d**6 + 0*d**3 + 1/12*d**4 + 0*d - 1/15*d**5 - 2*d**2. What is the remainder when v(2) is divided by 18?
16
Let d(f) = -2*f + 12. Let c be d(8). Let g = c - -7. Suppose 3*p = -5*t + 17, 0 = -3*p - 3*t + 17 - 2. Calculate the remainder when p is divided by g.
1
Suppose 4*j - 5*h = 25 + 32, 3*j = 5*h + 39. What is the remainder when 35 is divided by j?
17
Let z(u) = -u**2 - 6*u - 4. Let a(w) = w**2 - w + 0*w + 2*w. What is the remainder when z(-4) is divided by a(1)?
0
Suppose -5*y + 2*h - 5*h = -190, 3*y = 2*h + 114. Suppose 2*g - y = 12. What is the remainder when g is divided by (28/10)/(1/5)?
11
Let s be (7 - 5)/(1/2). Let i(c) = -c**3 + 5*c**2 + 3*c - 1. What is the remainder when i(s) is divided by 7?
6
Suppose 9*r - 4*r = -5*u + 100, 4*u + 8 = 0. What is the remainder when r is divided by 6?
4
Suppose 3*n - 100 = -n. Let k = n - 14. Calculate the remainder when 32 is divided by k.
10
Calculate the remainder when 30 is divided by 291/18 - (-3)/(-18).
14
What is the remainder when 48 is divided by (117/9)/(0 + 1)?
9
Suppose -4*c - 28 = -6*c. Calculate the remainder when 40 is divided by c.
12
Let q = -1 + 1. Suppose -w - h + 33 = q, -5*w + 78 = -2*h - 66. Let a(m) = -m + 10. Calculate the remainder when w is divided by a(-6).
14
Let j(l) = -6*l + 1. Suppose -2*d = d + 6. Let c be j(d). Let y = c + -7. What is the remainder when 21 is divided by y?
3
Suppose -5*c + 161 = -2*i, -2*c + 4*i + 0*i + 74 = 0. Let g = -6 + c. Suppose -k + 21 = -g. What is the remainder when k is divided by 16?
14
Let j = 97 - 44. Calculate the remainder when 208 is divided by j.
49
Let n(f) = -2*f**3 - 5*f**2 - 4*f - 1. Suppose -2*g + 6*g - 231 = -5*x, x = -g + 58. Calculate the remainder when g is divided by n(-3).
19
Let v be 1/((-1 - -2) + 0). What is the remainder when 21*2 + (v - 0) is divided by 15?
13
Let f(u) = -u + 3. Calculate the remainder when 8 is divided by f(-3).
2
Let d = -35 + 56. Calculate the remainder when d is divided by 4.
1
Calculate the remainder when (-4)/(-16) + 295/4 is divided by 11.
8
What is the remainder when 53 is divided by 900/65 + (-4)/(-26)?
11
Suppose 16*g + 918 = 22*g. Calculate the remainder when g is divided by 52.
49
Calculate the remainder when (-2)/(-8) + ((-4851)/(-28))/11 is divided by 9.
7
Let q(d) = d**2 + 12. Let t be q(0). What is the remainder when -1*15/t*-4 is divided by 3?
2
Suppose 0 = -2*y - z + 92, 5*z = 1 - 11. Let u(b) = b**2 + b - 4. Calculate the remainder when y is divided by u(-5).
15
Let m(c) = c**2 + 7*c - 10. Let p be m(-8). Let r = 3 - p. What is the remainder when 7 is divided by r?
2
Calculate the remainder when 4/(-18) - 3800/(-90) is divided by 22.
20
Let t(z) = z**2 + 9*z + 11. What is the remainder when 11 is divided by t(-8)?
2
Suppose -p + 5 = -2*y, y - 2 = 3*y - 4*p. Let f(i) = i**2 + 2*i + 4. Calculate the remainder when f(y) is divided by 3.
1
Let p be -1*(-2 + 0 + 2). Suppose 18 = -4*m - 2, -4*u - 3*m + 41 = p. Calculate the remainder when 39 is divided by u.
11
Let g(s) = -2*s**3 + 5*s**2 - 3*s - 3. Let p(x) = x. Let r be p(3). Let u be g(r). Calculate the remainder when 4/14 - 1107/u is divided by 18.
17
Suppose -8*k = 2*k - 750. Calculate the remainder when k is divided by 39.
36
Let c(p) = -p + 9. Let w = 2 + 6. What is the remainder when 1 is divided by c(w)?
0
Let v = 39 - 21. What is the remainder when 66 is divided by v?
12
Suppose 6*w - 299 = -5. What is the remainder when w is divided by 17?
15
Suppose 0 = -6*s + 42 + 36. Calculate the remainder when 35 is divided by s.
9
Suppose -2*g = -56 - 32. Calculate the remainder when 20 is divided by (4 - 0)*g/16.
9
Let r(a) = -2*a**2 + 3*a + 1. Let g be r(-2). Let c = -5 - g. Suppose -w - 4*w + 70 = 0. Calculate the remainder when w is divided by c.
6
Let v = 82 - 61. Calculate the remainder when 78 is divided by v.
15
Suppose -5*v - 4*w + w = -60, 3*v = -4*w + 36. What is the remainder when 23 is divided by v?
11
Suppose -4*k - 3*x + 51 = 0, 3*k = -2*k + 3*x + 57. What is the remainder when 22 is divided by k?
10
Let n = 0 - 1. Let w be 6*(0 - n)/3. Calculate the remainder when (w + -1)/((-2)/(-76)) is divided by 13.
12
Suppose 4*r - 7 = -0*l + l, 2*l - 4*r + 6 = 0. Let i(w) = -16*w**3 + w**2. What is the remainder when l/2 - (-195)/6 is divided by i(-1)?
16
Suppose -65 = 7*z - 2*z. Let k = z + 26. Calculate the remainder when k is divided by (0 - -2) + (-35)/(-7).
6
Let h(l) = -17*l**3 - 4*l**2 + 2. Calculate the remainder when 39 is divided by h(-1).
9
Let x(r) = -r**2 + 23. Calculate the remainder when 45 is divided by x(0).
22
Let y = 49 + -35. Let w(z) = z**3 + 8*z**2 + 6*z - 9. What is the remainder when w(-6) is divided by y?
13
Suppose 0 = 4*x - 43 + 187. What is the remainder when (-1664)/x - (-4)/(-18) is divided by 24?
22
Let p(d) = -6*d**2 - d - 3. Let l(j) = j**2 - 1. Let r(v) = 2*l(v) - p(v). Let w be r(-1). Suppose 3*f - w = -f. What is the remainder when f is divided by 2?
0
Let p = 29 - 24. Suppose -3*g - 15 = 4*c - c, -5*g - 9 = -3*c. Let r = p - g. Calculate the remainder when 23 is divided by r.
7
Let l(b) = -b**3 - 2*b**2 - 6*b - 2. Let h = 129 + -70. Let x = 87 - h. What is the remainder when l(-4) is divided by x?
26
Suppose 7 + 31 = 2*t. Let j be -2 + (3 - 0/(-2)). What is the remainder when (-1 - 4)/(j/(-11)) is divided by t?
17
Calculate the remainder when 3/(1 + -4)*-30 is divided by 4.
2
Let y(h) = h**3 - 6*h**2 + 2*h - 7. Let d be 4/(-16) + (-18)/(-8). Suppose -f - 12 = -d*v + v, 0 = -4*f - 16. What is the remainder when v is divided by y(6)?
3
Let j(c) = c**2 + 6*c + 1. What is the remainder when 31 is divided by j(-7)?
7
Calculate the remainder when 56 - ((-2)/(-1) - 3 - -1) is divided by 12.
8
Suppose -7 = s - 29. Calculate the remainder when s is divided by 6.
4
Suppose 3*z = -4*x + 10 + 86, -51 = -3*x + 3*z. Suppose -21 = s - 33. Calculate the remainder when x is divided by s.
9
Let d = 9 - 5. Suppose 0*y = y - d. Calculate the remainder when y is divided by 2.
0
Suppose -c = 2*f + 18, -3*c - 7*f - 44 = -3*f. Let o be ((-9)/(-6))/(6/c). What is the remainder when 1 is divided by (1/2)/((-1)/o)?
0
Suppose 4*x + 51 = 283. Let z = -35 + x. Let n = 169 + -102. Calculate the remainder when n is divided by z.
21
Let z = 74 + -43. Suppose -5*s + b = -60, -2*s - 24 = -6*s - 4*b. What is the remainder when z is divided by s?
9
Let a be (5 - 0) + -1 + -2. Suppose -4*q + 18 = -q. Calculate the remainder when (a/(-3))/(1/(-15)) is divided by q.
4
Let z = 0 + -2. Calculate the remainder when 23 is divided by (4/6)/(z/(-36)).
11
Calculate the remainder when (3*73/3)/((-4)/(-4)) is divided by 25.
23
Suppose s - 3 = -0*s. Let d(v) be the first derivative of v**4/2 - 2*v**3/3 + 2*v**2 - v - 1. Calculate the remainder when d(s) is divided by 16.
15
Suppose 5*c = -2*i + i + 40, 4*c = -i + 38. What is the remainder when 582/10 + (-2)/10 is divided by i?
28
Suppose 0 = h + 4*w - 8, -2*w - 1 = h - 7*w. What is the remainder when 154/(-7)*2/(-4) is divided by h?
3
Let l be (12/16)/((-2)/(-8)). Suppose 5*m = -l*r + 223, 4*m + 3*r - 177 = 2*r. Let h = -24 + m. What is the remainder when 58 is divided by h?
18
Let w(v) = v + 8. Calculate the remainder when w(8) is divided by 4.
0
What is the remainder when 0 + 2 - (-2 - 0) is divided by 3?
1
Let p(y) be the first derivative of y**4/4 - 5*y**3/3 + y**2 + 12*y + 6. What is the remainder when 85 is divided b