r when 23 is divided by w?
11
Let v be 22 + -3 + 2 + -2. Let q be (-4)/(-8) - v/2. What is the remainder when (-92)/(-6)*q/(-3) is divided by 16?
14
Suppose 0 = -k + 3*k + 28. Let p(j) = -j**3 + 9*j**2 + 11*j + 14. Let u be p(10). Let q = k + u. Calculate the remainder when 29 is divided by q.
9
Let o(c) = 8*c**2 - 4*c + 3. Let q be o(2). Let p = 26 + q. Suppose 4*z - 54 - 18 = 0. What is the remainder when p is divided by z?
17
Let j = 83 + -60. Calculate the remainder when 45 is divided by j.
22
Let c(l) = -l**3 + 7*l**2 - 4*l + 6. What is the remainder when c(6) is divided by 10?
8
Let y = 7 + -2. Suppose 0 = -p + 3*n + 5, -2*p - 1 + 0 = y*n. Calculate the remainder when 5 is divided by p.
1
Let y(s) = -s + 21. What is the remainder when y(-11) is divided by 7?
4
Let m be (2/2)/((-3)/(-9)). Suppose m*p - 380 = 31. Calculate the remainder when p is divided by 35.
32
Let l(v) = 3*v**2 - 4. Let a(d) = -7*d**2 + 9. Let t(h) = -2*a(h) - 5*l(h). What is the remainder when 2 is divided by t(0)?
0
Let n(p) = 2*p - 4. Let g(y) be the second derivative of -y**3/6 + y**2/2 + 2*y. Let f(q) = -7*g(q) - 2*n(q). What is the remainder when 19 is divided by f(3)?
9
Let l = 21 + -17. Suppose w - 5*f = -4*w + 70, 0 = w + l*f + 1. Calculate the remainder when w is divided by 8.
3
Suppose 12*p - 252 = -0*p. What is the remainder when 82 is divided by p?
19
Suppose -143 + 98 = -5*s. Suppose -3*y = 2*y - 10. Calculate the remainder when s is divided by y.
1
Suppose 0 = d + 3*d - 184. Suppose 0 = -2*m + 4*m - d. Calculate the remainder when m is divided by 8.
7
Suppose 0 = 4*m - m - 117. Let p = m - 9. Suppose 3*n = -2*n + p. What is the remainder when 11 is divided by n?
5
Let y(w) = 7*w + 6. What is the remainder when y(3) is divided by 10?
7
Suppose -u - 2 + 7 = 0. Calculate the remainder when 17 is divided by u.
2
Suppose -2*r = 3*r - 25. Suppose 4*u = -q + 192, 3*u + r*q = u + 78. Suppose 0 = 2*c - 6, c + 4*c = 4*w - 53. What is the remainder when u is divided by w?
15
Let o(g) = 9*g**2 + 15 - 3*g**3 + 2*g**3 - 6*g - 19. What is the remainder when 34 is divided by o(8)?
10
Let d = -57 + 80. Suppose -225 = -6*c + c. Calculate the remainder when c is divided by d.
22
Let f(w) = -w**2 - 7*w - 1. Let j be (0 - 1)*(-3 + 9). Let l be f(j). Suppose -p - 112 = -l*p. Calculate the remainder when p is divided by 10.
8
Suppose -49 + 597 = 2*k. Let v(d) = d**3 + 5*d**2 + 4*d - 4. Let b be v(-4). Calculate the remainder when k/10 + b/10 is divided by 14.
13
Suppose 5*z + 1 = -c + 24, -4*c + 58 = 3*z. Calculate the remainder when c is divided by 4.
1
Suppose -7*l = -5*l - 42. Suppose c - 6*c + 60 = 0. What is the remainder when l is divided by c?
9
Let k = 11 + 41. Calculate the remainder when k is divided by 27.
25
Let i(n) = -4*n + 2. Suppose -4*f + 99 - 59 = 0. What is the remainder when i(-4) is divided by f?
8
Let n(a) = -a**2 - 5*a - 2. Let h be n(-3). Suppose 1 = -h*u + 5. What is the remainder when ((-68)/6)/(u/(-3)) is divided by 12?
10
Let q(y) = 4*y**3 - y**2 + 9*y + 1. What is the remainder when q(3) is divided by 13?
10
Let x(b) = -b**3 + 4*b - 2. Let q = 25 + -17. Calculate the remainder when x(-3) is divided by q.
5
Suppose 4*f = 5*d + 69, 3*f + 43 = -3*d + 7*f. Let m = -5 - d. Suppose v - 15 = -1. Calculate the remainder when v is divided by m.
6
Suppose -4*i = -i - 5*y - 208, -i - 5*y + 76 = 0. Let a = i - 42. Suppose 5*m = -3*o + 35, 4*m = -m - 5*o + 25. What is the remainder when a is divided by m?
9
Let o be (-1 + 0/2)*-3. Let z(s) = s**3 + s**2 - 3*s - 2. What is the remainder when z(o) is divided by 9?
7
Suppose 3*i = 2*i + 4*f + 18, 3*f + 20 = 4*i. Calculate the remainder when i/6 + 184/6 is divided by 16.
15
Let v(j) = 6*j**2 - 2*j - 2. Let s = 3 + -5. What is the remainder when 8/s*68/(-8) is divided by v(2)?
16
Let u be (94/6 + -3)*-3. Let o = u - -67. What is the remainder when o is divided by 16?
13
Suppose 5*k - 30 = 2*k. Calculate the remainder when 37 is divided by k.
7
Let y(h) = -2*h + 1. What is the remainder when 6 is divided by y(0)?
0
Suppose 0*z - 4*z + 214 = 5*m, 4 = 2*m. What is the remainder when z is divided by 13?
12
Let i = 33 - 48. Let k = -16 + 17. What is the remainder when ((-48)/i)/(k/15) is divided by 17?
14
Suppose z - 30 = -z. What is the remainder when 59 is divided by z?
14
Suppose 4*w - 14 = 3*w. Calculate the remainder when 53 is divided by w.
11
Suppose 19*t = 24*t - 70. Suppose 7 + 13 = 4*g, 0 = -4*v - 2*g + 110. What is the remainder when v is divided by t?
11
Let m(a) = -132*a**3 - a**2 - a. Let t be m(-1). Suppose -2*l + 5*s = t, 64 = -3*l + s - 160. What is the remainder when ((-1)/2)/(2/l) is divided by 10?
9
What is the remainder when (24/5)/(8/20) is divided by 5?
2
Suppose 5*u + 4*q - 89 = 0, 2*u - 18 = u - q. Suppose 0*v - v = -9. Calculate the remainder when u is divided by v.
8
Let z = 130 - 60. Calculate the remainder when z is divided by 18.
16
Suppose -25 = -q - 4*d + 35, 2*d - 4 = 0. What is the remainder when q is divided by 11?
8
Let x(k) = -k**2 - 13*k + 9. Let y(v) = v**3 + 5*v**2 - 2*v. Calculate the remainder when x(-10) is divided by y(-5).
9
Suppose -t - 8 = -3*t + c, 0 = -2*t + 5*c + 8. Suppose 2*d - 17 = 4*j + 21, -12 = t*j. Suppose 4*i - 14 = 2*i. Calculate the remainder when d is divided by i.
6
Suppose -3*m = -8*m + 5*w + 40, 0 = -4*m + 2*w + 30. Suppose 0 = j + 3*t - 0 + 6, 5*j = t + 18. What is the remainder when m is divided by j?
1
Let v be -21 + 5 + (1 - 3). Let t = -11 - v. Calculate the remainder when 20 is divided by t.
6
Suppose 5*h - 243 = y + 3, 5*h + 5*y - 240 = 0. Calculate the remainder when h is divided by 10.
9
Suppose -3*q = 8 + 16. Let g(z) = -z - 1. Suppose -4*j = 4*f - 8, 5*j - 2*f = 5 + 19. Calculate the remainder when g(q) is divided by j.
3
Let c be ((-2)/(-5))/(2/(-30) - 0). Let a(h) be the third derivative of -h**4/8 - 5*h**3/6 - h**2. Calculate the remainder when 49 is divided by a(c).
10
Let r(d) = 4*d**2 - 1. Let y(i) = 2*i - 2. Let s be y(3). Suppose -5*j + s = -6. What is the remainder when 43 is divided by r(j)?
13
Let s(l) = 2*l**3 - 12*l**2 + 2*l + 9. Calculate the remainder when 122 is divided by s(6).
17
Let t be 4/(-2)*6/(-4). Suppose -4*j - 3*d = -10, 7*j - t*j - 8 = -4*d. Suppose 0 = j*f - 9*f + 70. Calculate the remainder when 39 is divided by f.
11
Let k = -39 + 53. What is the remainder when k is divided by 8?
6
Suppose 3*q - 2*q = 3*i, q - 2*i - 3 = 0. What is the remainder when 25 is divided by q?
7
Suppose k - 15 = 12. What is the remainder when k is divided by 6?
3
Let n(b) = b**3 - 5*b**2 + 3*b + 5. Let d(r) = r**2 + 18*r + 22. Let t be d(-17). Calculate the remainder when 56 is divided by n(t).
16
Let x(s) = 3*s + 7. Let u = -5 + 11. What is the remainder when 49 is divided by x(u)?
24
Let u(j) = -j**3 + 10*j**2 - 3*j - 5. Let f be u(8). Let x be f - ((-3 - 0) + 2). Suppose -9*d = -4*d - x. What is the remainder when 39 is divided by d?
19
Let n = -249 - -375. What is the remainder when n is divided by 33?
27
Suppose -3*i - 4*s + 3 = 0, -4*i - 6 = i + 3*s. Let x = -1 - -5. Calculate the remainder when x is divided by 1/i - (-20)/6.
1
Suppose -5*z + 55 = 5*o, -o + 1 = 5*z + 6. Calculate the remainder when 44 is divided by o.
14
Let w(k) = 2*k - 10. Let b be w(8). Suppose s = b*s - 80. Calculate the remainder when 46 is divided by s.
14
Let r = 114 - 57. Suppose 5*f + r = 302. Suppose -l = 5*d - f, -2*d - 3*l + 21 = -4*l. Calculate the remainder when 28 is divided by d.
8
Let b(n) = -n**2 + 5*n + 23. What is the remainder when 83 is divided by b(6)?
15
Let i(t) = t**2 - 3*t - 8. Let j(u) = u**3 - 11*u**2 + u + 8. Let p = -9 + 20. What is the remainder when j(p) is divided by i(6)?
9
Suppose -5*i = -10, 3*b + 4*i = 6*b - 37. Calculate the remainder when b is divided by 4.
3
Let a = 4 - 8. Let w = -3 - a. Suppose 0 = h - w - 3. What is the remainder when 7 is divided by h?
3
Suppose -67 = -4*i + l + 5, 3*l = 4*i - 72. What is the remainder when 68 is divided by i?
14
Let o be 8/(-10)*(-5)/2. Calculate the remainder when 9 is divided by (30/(-9))/(o/(-3)).
4
Let d = -2 + 3. Let r(i) = 2*i**3 + 5 - i**3 + 7*i + 7*i**2 + 3. Calculate the remainder when r(-6) is divided by d.
0
Let b(l) = -4*l - 53. Calculate the remainder when 139 is divided by