et k(g) = -g**3 + 6*g**2 - 2*g - 3. Let x be k(5). Let r(a) = -a**3 + 13*a**2 - 8*a + 4. Calculate the remainder when r(x) is divided by 11.
8
Let v(l) = 3*l - 5. Let n be v(6). Let i = 0 + n. Calculate the remainder when i is divided by 7.
6
Let k(a) = -a + 12. Let d be k(5). Suppose -2*b + d*b + 135 = 0. What is the remainder when 3*6/b*-57 is divided by 13?
12
Let n = 36 + -12. Let i = 119 + -73. Suppose -5*l + 276 = i. What is the remainder when l is divided by n?
22
Let c = -6 + 32. Let q = c + -15. What is the remainder when q is divided by 4?
3
Suppose q = -0*h + h + 1, -3 = -3*h + q. Calculate the remainder when h is divided by (-4)/10 - (-28)/20.
0
Let h = 141 - 76. Let p = -45 + h. What is the remainder when p is divided by 15/2 - (-10)/(-20)?
6
Let n(j) = 2 + 2*j - 5*j + 2*j. Let f(a) = a**2 - 6*a - 3. Let z be f(6). What is the remainder when 8 is divided by n(z)?
3
What is the remainder when 23/(0 + 4/20) is divided by 29?
28
Let m(q) = q - 7. Let r be m(9). Suppose -2*n + 2*v + 22 = 0, -3*v = 3*n + r*v - 65. Calculate the remainder when 27 is divided by n.
12
Suppose 12*l - 16*l + 424 = 0. Calculate the remainder when l is divided by 36.
34
Suppose -14 = -3*y - 2. What is the remainder when 13 is divided by y?
1
Suppose 5*b = 1 + 19, 2*l - 34 = 2*b. Suppose -y = -l - 12. What is the remainder when y is divided by 17?
16
Let v(y) = 21*y**3 + y**2 - 2*y + 1. Let q = -10 + 11. What is the remainder when v(q) is divided by 12?
9
Let r = 15 - 5. What is the remainder when 37 is divided by r?
7
Suppose 0*u - 180 = -5*u. Calculate the remainder when u is divided by 2 - (-2)/2 - -16.
17
Let u(d) = d**2 - 12*d + 2. Let s be u(12). What is the remainder when 1/s*16*4 is divided by 17?
15
Let l = -14 - -27. Calculate the remainder when 35 is divided by l.
9
Suppose 6*r = 9*r - 57. Calculate the remainder when r is divided by 5.
4
What is the remainder when 5 is divided by -3*((-40)/12 + 2)?
1
Suppose 7*x = 6*x + k + 17, 4*x = 3*k + 69. Suppose 5*m - g = 36, m - 3*g + 2*g = 8. Calculate the remainder when x is divided by m.
4
Let z(a) = -5 + 2 - 3 - 2*a - 3. Calculate the remainder when 27 is divided by z(-8).
6
Suppose -14 = 3*w - 4*w. Let d(l) = -l**2 - 16*l - 1. Calculate the remainder when d(-5) is divided by w.
12
Let q = -8 - -11. Suppose -q*s + 45 = 2*s. Suppose 2*a + 2*h - 38 = 5*h, -84 = -5*a + 2*h. What is the remainder when a is divided by s?
7
Suppose 21 - 5 = 4*a. Let b(v) = 21*v - 132. What is the remainder when b(7) is divided by a?
3
Suppose -2*s + 5*s - 6 = 0. Suppose s*l = l + 17. Suppose 0 = -u - 5*f + 31, 2*u + 2 = 2*f + 4. Calculate the remainder when l is divided by u.
5
Let l = -9 + -1. Let b = l + 25. What is the remainder when b is divided by 6?
3
Suppose -4*k + 48 = -4*v, 0 = 4*k - 0*v + 3*v - 55. What is the remainder when 36 is divided by k?
10
Let b = 8 + -11. Let d = 13 - b. What is the remainder when 45 is divided by d?
13
Let s = 55 - 36. Let n(w) = w**3 + 2*w**2 - 4*w - 1. Let f be n(-3). Let h(c) = 28*c - 1. What is the remainder when h(f) is divided by s?
17
Let j be (-1 - 1) + (134 - 2). Let i be j/25*5*1. What is the remainder when 25 is divided by -3*(i/(-6) - 0)?
12
Let k(t) = -5*t - 20. What is the remainder when 37 is divided by k(-6)?
7
Suppose 0 = -2*v - 3*v. Let q(b) = 7 - 3*b - b - b**2 + 5*b. What is the remainder when q(v) is divided by 4?
3
Let m(l) = -l - 2. Let x be m(-4). Suppose x*s + 15 = 83. Suppose 0 = -5*i + 3 + 57. What is the remainder when s is divided by i?
10
Suppose -2*m + 10 = 2*k - 0*k, -5*m + 5*k + 45 = 0. Let o = m + -5. What is the remainder when 2 is divided by o?
0
Let b = -17 + 25. What is the remainder when 23 is divided by b?
7
Suppose -c - 2*j + 10 = -0*j, 4*c - 4*j + 8 = 0. Suppose -2*n - c*d = -0*d, -5*n = -4*d - 45. Calculate the remainder when 24 is divided by n.
4
Let u(d) = d**3 - d**2 - 13*d - 9. What is the remainder when u(6) is divided by 24?
21
Let c = -33 + 61. What is the remainder when 78 is divided by c?
22
Let z = 3 - -3. Suppose 2*m + 4 = -5*w + 25, z = 2*w. Suppose -2*r - 27 = -0*b - b, -15 = m*r. Calculate the remainder when b is divided by 6.
5
Calculate the remainder when (-3)/5 + (-1132)/(-20) + 6 is divided by 13.
10
Let m(x) = 3*x + 16. What is the remainder when 45 is divided by m(4)?
17
Let b = 22 - 18. Suppose -56 = -b*a - 0*h - 2*h, 0 = -3*a + 3*h + 60. Let f = -10 + 41. Calculate the remainder when f is divided by a.
15
Suppose -7 = -y - p, 10*y + p = 6*y + 28. Let t(r) = -r**3 - 5*r**2 + 10*r - 2. Calculate the remainder when t(-7) is divided by y.
5
Let x(i) be the second derivative of 49*i**3/6 + 3*i**2 + 8*i. Calculate the remainder when x(2) is divided by 27.
23
Let i be (20/(-5) - -4) + -3. Let k(o) = -o + 3. Let w be k(-4). Let g = i + w. Calculate the remainder when 13 is divided by g.
1
Let s be (0/6)/(-1*1). Suppose 5*i + s*t - 234 = -4*t, -96 = -2*i - t. What is the remainder when i is divided by (34/8)/(1/4)?
16
Suppose 3*d - 176 = 16. Suppose -8*y - 175 + 279 = 0. What is the remainder when d is divided by y?
12
Calculate the remainder when 86*(4 - 7/2) is divided by 16.
11
Suppose -2*d + 9 + 99 = -t, d = -5*t + 32. What is the remainder when 204 is divided by d?
48
Let o(v) be the first derivative of -v**2 + 2*v - 2. Let j(y) = y - 1. Let s(i) = -7*j(i) - 3*o(i). Calculate the remainder when 26 is divided by s(-8).
8
Let o = 77 + -50. What is the remainder when 52 is divided by o?
25
Suppose -5*r = 5*l - 110 - 15, r - 137 = -5*l. What is the remainder when l is divided by (3/(-6))/((-2)/40)?
8
What is the remainder when 39 is divided by (-2)/(-10) - (-168)/10?
5
Suppose 345 - 56 = 17*q. What is the remainder when 29 is divided by q?
12
Let j = -13 + -4. Let u = 0 - j. Let l = 30 - u. What is the remainder when 36 is divided by l?
10
Calculate the remainder when (60/(-25))/(2/(-115)) is divided by 28.
26
Calculate the remainder when 4/10 + (-56)/(-10) is divided by 2.
0
Suppose -30 = -5*f + 45. What is the remainder when 40 is divided by f?
10
Suppose -p - 1 = -4. Suppose p*y + 0 - 18 = 0. What is the remainder when -1 + ((-2)/2 - -13) is divided by y?
5
Suppose -2*t - 12 = -5*t. Calculate the remainder when t is divided by 3.
1
Let t = 12 - 7. Suppose 8 = 4*y - t*m - 33, -2*m - 2 = 0. What is the remainder when 16 is divided by y?
7
Let o be 3/12 + (-54)/(-8). Suppose o = -x - 24. Let w = x - -46. Calculate the remainder when 28 is divided by w.
13
Suppose 0 = 5*u + 4*r - 112, -1 = r - 4. What is the remainder when 97 is divided by u?
17
Let n(s) be the third derivative of -s**4/6 + 5*s**3/2 + 11*s**2. Calculate the remainder when n(-11) is divided by 12.
11
Let q be (186/(-9))/(2/(-3)). Let v = q - 14. Calculate the remainder when v is divided by 9.
8
Let y be ((-16)/(-10))/((-2)/(-5)). Suppose y*i = 3*i + 11. Calculate the remainder when 42 is divided by i.
9
Let c be (1 + -2)/(5/(-15)). Suppose 4*v - 11 = -c. Suppose -v*t - 4*z = -6*t + 100, -2*t + 5*z + 41 = 0. Calculate the remainder when t is divided by 10.
8
Suppose 16 - 12 = -k. Let d(n) = -2*n. Let x(r) = 10*r + 1. Let s(l) = 11*d(l) + 2*x(l). What is the remainder when 39 is divided by s(k)?
9
Suppose -30 - 26 = -4*w. What is the remainder when (24 + -18)*1*(-40)/(-6) is divided by w?
12
Let m(x) = 5*x - 25. Calculate the remainder when 12 is divided by m(6).
2
Let z = 11 + 5. Let n(w) = -w + 9. Let f be n(12). What is the remainder when z is divided by f + 1 + 0 + 8?
4
Let x be (-18)/(-3) - (-1)/(-1). Suppose 0*j + 280 = x*j. Suppose 0 = -4*d - 0*d + j. Calculate the remainder when 41 is divided by d.
13
Suppose -5*b = -5, -2*r + 4*r = 3*b - 13. Let u(c) = -2*c - 2. Calculate the remainder when 31 is divided by u(r).
7
Suppose -4*w + 2 = -2*b + b, 0 = -2*b - 3*w + 51. What is the remainder when 49 is divided by b?
13
Let h be -13 + (-5 - -4) + -1. Calculate the remainder when 35 is divided by h/20 + (-51)/(-4).
11
Let s(o) = -o**2 + 19*o + 31. What is the remainder when 52 is divided by s(20)?
8
Calculate the remainder when 51 is divided by (-1 - -1) + (-9 - -22).
12
Calculate the remainder when (5/(-15))/((-1)/78) is divided by 9.
8
Let m(n) = n**2 + 6*n + 1. Let f be -2*(-3)/6 + -7. What is the remainder when m(f) is divided by 1?
0
Let i(c) be the third deriv