 43. Calculate the remainder when 42 is divided by b.
20
Let l be 2/(-8) - (-63)/12. Suppose -l*q = 29 - 9. Let c = q + 17. Calculate the remainder when 23 is divided by c.
10
Let w(x) = x**3 + 7*x**2 - 44*x + 1. What is the remainder when w(6) is divided by 26?
23
Suppose 55*w - 5 = 56*w. Let n = 9 + w. Suppose t = -t + 28. What is the remainder when t is divided by n?
2
Let z(l) = -l**3 + 5*l**2 + 4*l + 14. Let y be z(6). Suppose y*i = -7*q + 10*q + 32, -16 = 4*q. Calculate the remainder when 29 is divided by i.
9
Let w(k) = -5*k - 1. Let h be w(-2). Suppose -h*l = -4*l - 55. Calculate the remainder when 43 is divided by l.
10
Suppose -2*i + 551 = i + 2*b, -b + 185 = i. What is the remainder when i is divided by 23?
20
Let y = 334 - 300. What is the remainder when y is divided by 19?
15
Let f(j) = 2*j - 1. Let b be f(8). Let v be 1*b*1/3. Suppose -2*q + 10 = -v*c, 3*c = -2*q + c + 38. Calculate the remainder when 27 is divided by q.
12
Let y(i) = 2*i**3 - 2*i**2 + 2*i + 2. Let r(q) = -4*q**2 - 54*q + 33. Calculate the remainder when y(2) is divided by r(-14).
4
Suppose -256 = -10*h + 1264. Calculate the remainder when h is divided by 25.
2
Suppose 2*r - 2320 = -5*q, -3*r + 415 + 986 = 3*q. What is the remainder when q is divided by 52?
46
Suppose -2*d - 6*d + 1280 = 0. What is the remainder when d is divided by 33?
28
Let h = 314 + -305. What is the remainder when 54 is divided by h?
0
Let g = 33 - 42. What is the remainder when 123 is divided by 2007/81 - 2/g?
23
Let d(p) be the first derivative of p**3/3 - 2*p**2 - 3*p + 2. What is the remainder when (-8 + 3)*24/(-5) is divided by d(6)?
6
Suppose 0 = 4*r, 684 = -g + 3*g - 4*r. Calculate the remainder when g is divided by 43.
41
Let y = -12 - -19. Suppose -5 + 20 = x. Suppose 2*t = 11 + x. What is the remainder when t is divided by y?
6
Suppose -55*h - 9 = -58*h. What is the remainder when (h - 1 - 3 - -16) + 1 is divided by (-1 - 1 - -4) + 1?
1
Let x(o) = -15*o - 7. Suppose 0 = l + l - 16. What is the remainder when x(-2) is divided by l?
7
Let m be 168/(-5)*(-60)/9. Let p = m + -153. What is the remainder when p is divided by 18?
17
Let s = 55 + -34. Suppose 4*g + g - 25 = 0. Suppose -g*n - 18 = -48. What is the remainder when s is divided by n?
3
Suppose 2*f + 5*q = 40, 4*f - 2*q + 96 = 8*f. Suppose 4*u - 3*u = 0. Suppose u = -2*k + 5*k - 39. Calculate the remainder when f is divided by k.
12
Suppose 5*a + 629 = -4*h, -a + 6*a + 630 = -5*h. Let m(u) = 16*u + 107. Let j be m(-12). Let v = j - a. Calculate the remainder when v is divided by 7.
5
Let l = -2 + 7. Suppose -4*r + 23 = l*u, u - 1 + 4 = 3*r. Suppose u*a + 27 = 5*b - 12, b - 4*a - 18 = 0. Calculate the remainder when 16 is divided by b.
4
Suppose -2*o + 48 = d, -d + 54 = 4*o - 0*o. Suppose -r + 4*r = 15. Calculate the remainder when d is divided by r.
2
Let k = -34 + 198. Suppose 0 = p + 5*b - k, 0*b = -4*p - b + 618. Calculate the remainder when p is divided by 31.
30
Suppose 15*h = 3*h - 36. Calculate the remainder when 38 is divided by (11/h)/(8/(-48)).
16
Let g(k) = k**3 - 4*k**2 + 3*k - 3. Suppose -20449 = -6*n - 20011. Calculate the remainder when n is divided by g(5).
36
Let c = -120 + 133. Calculate the remainder when 570 is divided by c.
11
Suppose -3*z + 912 = 3*b, -2*b + 6*b + z = 1213. Calculate the remainder when b is divided by 19.
18
Let d(m) = -m**3 - 20*m**2 - 39*m - 17. Calculate the remainder when 144 is divided by d(-18).
33
Suppose 0 = 3*k - 3, -5*b = -3*k - 3 - 54. Suppose -9*p + b*p = 78. What is the remainder when p is divided by 3?
2
Let c(d) = 48*d**3 - d**2 + d - 1. Let s(n) = 2*n**2 - 6*n + 2. What is the remainder when c(1) is divided by s(-1)?
7
Let j be (-4)/(-3)*45/6 - 0. Let q(i) = 5*i - 13. What is the remainder when q(j) is divided by 20?
17
Let p(d) = -12*d - 51. What is the remainder when 80 is divided by p(-6)?
17
Suppose 5*t - 5*k = 20, t - 3*k - 6 - 4 = 0. What is the remainder when 9 is divided by ((-66)/(-22))/(1 + (t - 1))?
0
Suppose 10 + 10 = 2*u - 4*v, -5*u + v = -32. Let f = -1 + 1. Suppose 5*w = 3*x - 5*x + 177, 5*w - 3*x - 172 = f. What is the remainder when w is divided by u?
5
Suppose -r + 3*r = 0. Suppose -2*o + 8 + 2 = r. Let v(w) = -w**3 + 7*w**2 - 5*w - 2. What is the remainder when v(o) is divided by 13?
10
Let t(b) = 47*b - 456. Calculate the remainder when 41 is divided by t(10).
13
Calculate the remainder when (1312/40)/(4/10) is divided by 12.
10
Suppose 61*r - 23*r - 20026 = 0. What is the remainder when r is divided by 106?
103
Let g = 27 + -23. Suppose -4*i + l + 53 = 0, i = g*l + 34 - 2. What is the remainder when 33 is divided by i?
9
Suppose -49*s = -58*s + 1260. What is the remainder when s is divided by 48?
44
Let d(h) = -3*h**2 - 2*h - 11. Let u(c) = -c**2 - c - 4. Let a(o) = -6*d(o) + 17*u(o). What is the remainder when a(9) is divided by 9?
7
Let b(i) = 4*i + 5. Suppose -2*d - 6*j = -4*j - 18, -18 = -2*d - 4*j. What is the remainder when b(d) is divided by 15?
11
Suppose -4*h = -2*k + 114, -k = k + 5*h - 69. What is the remainder when 69 is divided by k?
22
Let p(v) = -16*v + 11*v + 3 + 7*v. What is the remainder when 32 is divided by p(4)?
10
Let b(r) = r**2 - 8*r - 1. Suppose -5*p + 5 = -0*p. Suppose p + 4 = m. Calculate the remainder when b(10) is divided by m.
4
Calculate the remainder when 109 is divided by -6 + 1194/60 - 1/(-10).
11
Let d(w) = 93*w**3 - w**2 + w. What is the remainder when d(1) is divided by 48?
45
Let q(y) = 7*y**2 - 17*y - 9. Suppose -a + 6*a - 180 = 0. What is the remainder when q(6) is divided by a?
33
Let p = -1692 - -1702. What is the remainder when -1 + (-82 + 2)/(-2) is divided by p?
9
Calculate the remainder when -10 - -193 - (7 - 6) is divided by 56.
14
Suppose j = -j. Suppose j = 3*r - 2*r - 3. Suppose 0 = -4*w - 20, 150 = r*t - 0*t + 3*w. What is the remainder when t is divided by 15?
10
Let o = 29 + -24. Suppose 0 = -o*c + 20 + 45. What is the remainder when (3 + -2)/(2/72) is divided by c?
10
Calculate the remainder when 2*213/(-6)*(-5 - -4) is divided by 52.
19
Let v(g) = 3*g. Let l = -14 - -12. Let p be l/7 + 111/21. Calculate the remainder when 56 is divided by v(p).
11
Let z = 52 - -22. What is the remainder when 189 is divided by z?
41
Let o = 289 + -254. Let a(y) = 11*y - 8. Suppose -2*m + 21 = 1. Calculate the remainder when a(m) is divided by o.
32
Let d(m) = -m**3 - 2*m**2 + m + 3. Suppose 5*r = 4*s - 35, 3*s + 2*r + r = 60. Calculate the remainder when d(-5) is divided by s.
13
Let y(p) = -p**3 - 10*p**2 - 21*p + 9. What is the remainder when 160 is divided by y(-7)?
7
Let c(h) = 2*h**2 + 3*h - 6. Let w be c(-5). Suppose 3*u + w - 56 = 0. Calculate the remainder when 43 is divided by u.
7
What is the remainder when 80 + 7 + 2 + (-14)/2 is divided by 17?
14
Suppose -11 = -5*f + 74. What is the remainder when f is divided by 4?
1
Let n(p) = -6*p + 35. Let i be n(5). Let m be -2 - -3 - (0 - 1). Suppose 5*u - m*z = 46, 3*z = i*u - 27 - 17. Calculate the remainder when u is divided by 4.
2
Suppose 0 = 21*r - 16*r - 2250. Suppose -5*k + r = 105. Calculate the remainder when k is divided by 185/10 + (-1)/2.
15
Suppose -13*n + 233 - 77 = 0. Calculate the remainder when 19 is divided by n.
7
Suppose 0 = 4*l - a - 60, -3*a + 15 = l - 0*l. Let o = l - -19. Calculate the remainder when 132 is divided by o.
30
Let x = -336 + 474. Calculate the remainder when x is divided by 20.
18
Let a = -27 - -5. Let l(s) = -2*s - 20. Calculate the remainder when 46 is divided by l(a).
22
Suppose 10*c - 16*c + 48 = 0. Let d(a) = a**3 - 5*a**2 - 12*a + 9. Calculate the remainder when d(c) is divided by 18.
15
Let w = 57 + 129. Calculate the remainder when w is divided by 9.
6
Suppose 139 = -2*k + 167. Calculate the remainder when 426 is divided by k.
6
Suppose 0 = 2*z - 0*z - 122. Let r be 12/(-8)*(-1 + -1). Suppose -y - 2*m + 17 = 0, 35 = r*y + 4*m - 20. Calculate the remainder when z is divided by y.
19
What is the remainder when 66 is divided by 16/88 - (306/(-11) - 0)?
10
Let j(i) = -i**3 - 7*i**2 + 18*i + 132. Calculate the remainder when 533 is divided by j(-7).
5
Let r(q) = -8*q**3 - 3*q**2 + 31*q + 53. What is the remainder when r(-2) is divided by (19 - 0)*1 - 0?
5
Suppose -u = -c - 0*u + 51, 60 = c + 2*u. Let o = c - 41. What is