 + 2. Let k(f) = -3*o(f) - 5*w(f). Calculate the remainder when 11 is divided by k(1).
3
Suppose 4*w = -w - 2*p + 1, 0 = 5*w + 5*p + 5. Calculate the remainder when (-2)/5 - 54/(-10) is divided by 5 + -1 - (w + 1).
1
Let o(m) = 3*m**2 - 3. Let b be -2*(2 + (-2 - 1)). Calculate the remainder when o(b) is divided by 6.
3
Calculate the remainder when ((-282)/(-4))/((-8)/((-224)/21)) is divided by 25.
19
Let w = -5 - -8. Calculate the remainder when w is divided by (2/6)/(2/6).
0
Let t(j) = j**3 - 12*j**2 - 12*j + 6. What is the remainder when t(13) is divided by 7?
5
Suppose -104 = -4*n - l, -6*n = -3*n + 2*l - 73. What is the remainder when 52 is divided by n?
25
Suppose o + 4*w = 9 + 1, -4*o = w - 10. Suppose -o*h + 78 = h. What is the remainder when 51 is divided by h?
25
Suppose 3 - 30 = -3*d. Let r(l) = l**3 - 9*l**2 + l + 3. Calculate the remainder when 22 is divided by r(d).
10
Let s(v) = -v**2 + 3*v + 6. Calculate the remainder when s(4) is divided by 1.
0
Suppose -n = 4*n - 50. Let c = 10 + 8. What is the remainder when c is divided by n?
8
Let n(r) be the third derivative of r**5/60 - r**4/24 - 2*r**3/3 + 3*r**2. Calculate the remainder when n(4) is divided by 3.
2
Suppose -5*c + 40 = 10. Suppose -c*x + 55 = -x. Calculate the remainder when 43 is divided by x.
10
Suppose 2*l - 6 = -3*f + 5*f, 3*l = f + 19. What is the remainder when l is divided by 3?
2
Suppose 122 = 3*k - 5*i, i + 240 = 4*k + k. Let c be 10/35 + 4/(-14). Suppose w - 2 = -5*b, c*b + 2*b - 11 = -w. What is the remainder when k is divided by w?
15
Let h(k) = k**2 + 11*k + 17. Let w = 21 - 11. What is the remainder when h(-11) is divided by w?
7
Suppose -5*p + 18 = -3*p + 4*g, 2*p + 2*g = 22. Let b = 0 + p. What is the remainder when b is divided by 7?
6
Let m = -6 - -11. What is the remainder when m is divided by 3?
2
Suppose p = 1, 5*t + 3 + 4 = -3*p. Let q(h) = 2 + 6*h + h**3 - 6*h**2 + 4*h**2 - 2*h + 7*h**2. Calculate the remainder when 16 is divided by q(t).
4
Suppose -3*o - 3*y = -129, 2*y = 4*o + 3*y - 160. Calculate the remainder when 112 is divided by o.
34
Suppose -2*f = -0*f - 32. Suppose o - 8 = 5*o. Let x(d) = -7*d**3 + 3*d**2 + 3*d + 1. Calculate the remainder when x(o) is divided by f.
15
Suppose 4*a - 312 = -r, -a + 5*r + 122 = 23. Calculate the remainder when a is divided by 27.
25
Suppose z = 0, 0*z + z + 112 = 4*u. Let k = -15 + u. Let m = 133 - 95. What is the remainder when m is divided by k?
12
Suppose o - 4 = 31. Suppose -3*f = -s + 10 - 1, 8 = s - 4*f. Calculate the remainder when o is divided by s.
11
Let j(q) = -10*q**3 + q + 1. Calculate the remainder when j(-2) is divided by 41.
38
Let b = -93 - -152. Calculate the remainder when b is divided by 30.
29
Calculate the remainder when 5/(-10)*-6 - -78 is divided by 30.
21
Let k = 7 + -2. Suppose 2*u + 0*u - 2*b - 72 = 0, k*u - 2*b = 177. Calculate the remainder when u is divided by 18.
17
Suppose 4*f - 31 - 37 = 0. What is the remainder when f is divided by 7?
3
Suppose s - 2 - 1 = 0. Let l = 3 - -5. What is the remainder when l is divided by s?
2
Let u = 18 - 7. Let y(t) be the first derivative of -3*t**2/2 + t - 6. What is the remainder when u is divided by y(-1)?
3
Suppose -125 = -x - 4*x. Calculate the remainder when 149 is divided by x.
24
Let a be 156/42 - (-2)/7. Let c = 13 - -6. Suppose 5*i + a*x - c = 9, -3*x = 3*i - 15. What is the remainder when 15 is divided by i?
7
Let x(t) = 2*t + 1. What is the remainder when x(5) is divided by (-18)/(-4) - (-1)/(-2)?
3
Let o(f) = 2*f + 55. What is the remainder when 6 is divided by o(-26)?
0
Let a be 7*4 - (1 - 1). Let m = a - 17. What is the remainder when m is divided by (-2)/(-9) + 52/9?
5
What is the remainder when 97 is divided by (-25)/(-1)*(2 + 5/(-5))?
22
Suppose -p + 55 = -22. Suppose 3*t + 17 = p. Let g(z) = z**2 + 4*z + 6. What is the remainder when t is divided by g(-5)?
9
Let h = -214 + 364. What is the remainder when h is divided by 38?
36
Let f = 51 + -26. What is the remainder when f is divided by 13?
12
Suppose z - 4 = -d, -5*z + 12 = -3*z - 2*d. What is the remainder when (-3)/2 + 186/12 is divided by z?
4
Suppose 47 = -a + 57. Let v(b) = b**3 - b**2 + b. Suppose -5 - 5 = -5*f. Calculate the remainder when a is divided by v(f).
4
Suppose -3*c + 6 = -c. Suppose c*b - 73 = u, 2*b - 5*u - 62 + 9 = 0. Suppose 0*a - 4*a = 5*p - 121, a = -p + b. What is the remainder when p is divided by 9?
7
Let v(i) = 18*i + 15. Calculate the remainder when v(3) is divided by -24*(-9)/(-24)*-2.
15
Let o(s) = -9*s - 3. Suppose -5*i = -8*b + 3*b - 155, 4*b = -3*i + 65. What is the remainder when i is divided by o(-2)?
12
Let c(v) = v**2 + 2*v + 40. Calculate the remainder when 158 is divided by c(0).
38
Let h be (2 - 3)*(-3 + 1). Suppose 0 = -s - 0*s - 5, -45 = -h*y + s. Suppose 0 = 5*p - p - y. Calculate the remainder when p is divided by 3.
2
Let f(y) be the first derivative of -2*y**2 - 9*y - 4. What is the remainder when 67 is divided by f(-8)?
21
Let l = -7 + 11. Suppose -c + 4 = 3*i, 3 = 3*i - l*c - 11. What is the remainder when 2 is divided by ((-1)/i)/(4/(-8))?
0
Let g be 4/(-20) + 51/5. Let x = -5 + g. Let y(n) = n. What is the remainder when x is divided by y(3)?
2
Let z(c) = -c**3 - 2*c**2 - 2*c - 2. Let m be z(-2). Let v(j) = -j - 3. Let u be v(-6). Suppose -o = m*o - u. What is the remainder when 1 is divided by o?
0
What is the remainder when (-23)/((-2 - -5) + -4) is divided by 12?
11
Let z = -21 + 36. What is the remainder when 41 is divided by z?
11
Let j(t) = -t**3 + 8*t**2 - 9*t + 27. Suppose 4*b - 3*n - 153 = 0, -2*b + 41 + 40 = -3*n. What is the remainder when b is divided by j(7)?
10
Let u = -4 + 15. What is the remainder when 40 is divided by u?
7
Suppose d - 101 = 5*z, -5*d = -z + 4*z - 421. What is the remainder when d is divided by 29?
28
Suppose 0 = -2*k - 4*c + 66, 0*k - 2*k = c - 81. What is the remainder when k is divided by 15?
13
What is the remainder when 18/(-9)*(-26)/2 is divided by 12?
2
Calculate the remainder when 31 is divided by (22/(-4))/(1 + 6/(-4)).
9
What is the remainder when (10/(-6) + 1)*-42 is divided by 16?
12
Let b(h) = 6*h - 10. Calculate the remainder when 40 is divided by b(4).
12
Let c be (-4 + 0)*(-9)/9. Suppose -s + 3 = -c. What is the remainder when s is divided by 2?
1
Let o be 3/12 + (-3)/(-4). Suppose -o = 3*x - 10. Suppose 0*s = x*s - 66. What is the remainder when s is divided by 12?
10
Suppose -9*a = -12*a + 42. What is the remainder when 41 is divided by a?
13
Suppose 5*k - 309 = k + 5*w, 2*w = 5*k - 365. Let l = -49 + k. Let q(h) = h + 42. What is the remainder when q(0) is divided by l?
20
Let s = -12 + 23. Calculate the remainder when s is divided by 6.
5
Suppose 0 = 5*o - u - 50, 9*o - 20 = 4*o - 5*u. Suppose -4*b - 5*a - 100 = -o*b, 0 = -3*b + 4*a + 57. What is the remainder when b is divided by 6?
5
Suppose 4*s + 2*q = -0*q + 8, 3*s = 5*q + 6. What is the remainder when 4 is divided by s?
0
Suppose 86 = 5*d + 2*h, -4*h - 77 = -5*d - 3*h. Let u(s) = -s**3 + 5*s**2 + 6*s + 6. Calculate the remainder when d is divided by u(6).
4
Suppose -h = -8 + 4. Suppose 7 = h*o - 13. What is the remainder when (6 - o)/(2/14) is divided by 4?
3
Suppose s - 1 = 2. Calculate the remainder when 6 is divided by s.
0
Calculate the remainder when 115 is divided by (8/(-3))/((16/(-30))/8).
35
Let a = 31 - 23. Calculate the remainder when a is divided by 5.
3
Suppose 4*n - 23 = 3*n. What is the remainder when n is divided by 8?
7
Suppose -86 - 210 = -4*i. Suppose 9*z - 11*z = -50. Calculate the remainder when i is divided by z.
24
Let j be -3*6/(-9) - -10. Suppose j = -3*v + 78. Calculate the remainder when 43 is divided by v.
21
Suppose 20 = -3*x + 56. Calculate the remainder when x is divided by 5.
2
Suppose 4*y - 82 = 2*y. Calculate the remainder when y is divided by 82/4 + 4/8.
20
Let o(z) = -z**3 - 6*z**2 - z - 2. Suppose 2*l + 54 = 8*l. Calculate the remainder when l is divided by o(-6).
1
Let c = 20 + -16. Suppose 3*y + 4*b = c*y - 9, 0 = -2*y + b + 11. Calculate the remainder when 9 is divided by y.
4
Suppose 21*u + 12 = 23*u. What is the remainder when 16 is divided by u?
4
Let r(m) be the first derivative of m**2/2 + 5*m + 2. Let g = -11 + 13. Calculate the remainder when r(0) is divided by g.
1