 divided by 31.
28
Let d(m) = -10*m + 1. Suppose -2 = -5*x + 4*x, -u + 18 = -x. Calculate the remainder when u is divided by d(-1).
9
Let r(x) = -x + 6. Let f be r(6). Suppose -3*k - 11 + 44 = f. Calculate the remainder when 21 is divided by k.
10
Suppose -2*j - 4 + 20 = 3*g, g - 27 = -5*j. Suppose l = -g*l + 159. Let s = -22 - -40. Calculate the remainder when l is divided by s.
17
Calculate the remainder when (-1 - (-39 - -5)) + 3 is divided by 15.
6
Suppose 0 = -2*u + 6*t - t + 41, -2*u = -2*t - 50. What is the remainder when u is divided by 8?
4
Let o = 70 - 33. Let c = -22 + o. What is the remainder when 43 is divided by c?
13
Suppose -5*s + 154 = 6*s. What is the remainder when 23 is divided by s?
9
Let n = 79 - 37. What is the remainder when n is divided by 15?
12
Suppose -2*n - 3*u = 2*u - 108, -2*u - 270 = -5*n. What is the remainder when n is divided by 12?
6
Let i(o) = o**3 - 11*o**2 + 11*o - 1. Calculate the remainder when i(10) is divided by 4.
1
Let r(w) = -w**3 + w - 20. Let c be r(0). Let h = 29 + c. What is the remainder when 25 is divided by h?
7
Let o(u) = 4*u - 16. Let j be o(5). Suppose 2*d = -j*z + 136, d + 2*z = 6*d - 280. Calculate the remainder when d is divided by 20.
18
Suppose 2*n - 2*c = 0, 0 = -n + 6*n - c. Suppose -3*b + n*b = -51. Calculate the remainder when b is divided by 9.
8
Let u(a) = a**2 - 4*a + 6. Let m be u(4). Let y = -3 + m. Suppose y + 3 = 3*f. Calculate the remainder when 3 is divided by f.
1
Let p(b) = -b**3 + b**2 - 2. Let o be p(0). Calculate the remainder when 39 is divided by (o/4)/(2/(-80)).
19
Let g(s) = -s**3 - 2*s**2 - 4*s - 4. Suppose 3*o - 5*o = 2*p - 26, 5*o = -4*p + 62. Calculate the remainder when g(-3) is divided by o.
7
Let q = -7 + 22. Suppose -3*l - 28 + 106 = 0. Let s = l - q. Calculate the remainder when 31 is divided by s.
9
Suppose -4*b - 2*o + 25 = 3, -2*b = -4*o - 6. Calculate the remainder when 9 is divided by b.
4
Let s be ((-1)/3)/(2/(-30)). Suppose 0 = -2*d - 1 + s. Suppose 2*i - 136 = -d*i. What is the remainder when i is divided by 12?
10
Suppose 0 = -2*n + 2*q - 4*q - 2, 2*n + q - 2 = 0. Suppose -n*w = -2*w - 17. Calculate the remainder when 49 is divided by w.
15
Suppose 4*t - 10 - 102 = 0. Suppose -3*r + 24 = 2*l, 2*r - 54 = -4*l - r. Calculate the remainder when t is divided by l.
13
Let l(s) = 304*s**2 - 2*s - 1. Let d be l(-1). Suppose -3*n + 8*n - d = 0. Let x(r) = 3*r + 3. What is the remainder when n is divided by x(6)?
19
Let h = 80 - 39. Let k = -4 + 7. Suppose k*a - 27 - 15 = 0. What is the remainder when h is divided by a?
13
Suppose -3*s - 9 = 0, -y + 4*s + s = -71. What is the remainder when y is divided by 29?
27
Let z(f) = 2*f - 2. Let w be z(-3). Let b = w + 19. Calculate the remainder when 56/3 + (-1)/(-3) is divided by b.
8
Suppose -p - 3*v + 38 = 0, p - 6*p + 228 = -4*v. Let u be 17 - 3/(1 + -4). Let y = u - 3. Calculate the remainder when p is divided by y.
14
Let f = 32 + -23. Let r(j) be the second derivative of -j**3 - 5*j**2/2 - j. What is the remainder when r(-5) is divided by f?
7
Suppose t - 27 = 4*a + a, -3*a = -5*t + 25. Suppose -3*g + 8 = -31. Calculate the remainder when (0 - t)/((-6)/153) is divided by g.
12
Let s be (-32)/10 + (-2)/(-10). Let o be (-2 + 6*-2)*s. Let h = o - 22. What is the remainder when h is divided by 11?
9
Let c(o) = 3*o**2 + 11*o + 7. Let w(t) be the third derivative of t**6/15 - t**4/24 - t**2. What is the remainder when c(-4) is divided by w(1)?
4
Calculate the remainder when 69 is divided by (-2 + 3)/(6/228).
31
What is the remainder when 1 + (-164)/(-6) - (-50)/75 is divided by 5?
4
Let i be (-2)/(5/(1940/(-8))). Suppose 4*u - 2*u - i = -l, l = -u + 51. Calculate the remainder when u is divided by 12.
10
What is the remainder when 2*((-13)/(-2) + -1) is divided by ((297/11)/(-9))/((-3)/4)?
3
What is the remainder when 1/((-12)/(-10) + -1) is divided by 2/9 + (-50)/(-18)?
2
Let x = 5 - 1. Suppose -j = -21 - 49. Suppose -3*h = 2*h - j. What is the remainder when h is divided by x?
2
Let r be (-4 + 2 - -5)/1. Suppose -2*f + 105 = -3*l, 0*f + 199 = 4*f + 5*l. Calculate the remainder when 47 is divided by 1 - (2 - f/r).
15
Calculate the remainder when (12/(-15))/((-2)/80) is divided by 9.
5
Suppose -3*l + 2*l = -4. What is the remainder when l is divided by 1?
0
Let t be (2 - -10)/(1/2). Suppose s - t = -2*w, -4*w + 0*s + 60 = -s. What is the remainder when 55 is divided by w?
13
Let o(i) = -6*i. Let b(f) = 2*f - 6. Let r be b(10). Suppose -5*v - r = -3*v - 3*t, -3*t + 12 = 0. What is the remainder when 11 is divided by o(v)?
5
Let u(f) = 39*f**2 - f + 1. Suppose 6*g - 84 = -0. What is the remainder when u(1) is divided by g?
11
Let z = 54 + -45. What is the remainder when 15 is divided by z?
6
Suppose -3*i = 0, 4*p - 4*i - 53 = 3. Suppose -9*v - 120 = -p*v. What is the remainder when 44 is divided by v?
20
Suppose 3*n - 39 - 30 = 0. Calculate the remainder when 229 is divided by n.
22
Let v(d) = -4*d + 5. Let z be v(-6). Suppose -5*n + z = -31. What is the remainder when n is divided by 74/10 + (-2)/5?
5
Let a be ((-1)/(-3))/((-4)/(-12)). Let p(c) = c**2 - c. Let g be p(a). Let y(r) = r**3 + r**2 + 7. What is the remainder when 25 is divided by y(g)?
4
Let u(m) = 4*m**2 - 1. What is the remainder when u(-1) is divided by 3?
0
Suppose 20 = 5*c - 65. Calculate the remainder when c is divided by 10.
7
Let s(c) = -c**3 + c**2 + c + 11. Let h(g) = 1. Let i(m) = 3*h(m) + s(m). What is the remainder when 41 is divided by i(0)?
13
Let u = 41 - 22. Let q = u - 0. Calculate the remainder when 36 is divided by q.
17
Let n = 11 + 5. Calculate the remainder when n is divided by 7.
2
Let u = -43 - -70. Calculate the remainder when 105 is divided by u.
24
Suppose -c + 2 = -17. Calculate the remainder when c is divided by 5.
4
Let q(g) = -37*g + 3. Calculate the remainder when 77 is divided by q(-1).
37
Let f = 7 + -5. Calculate the remainder when f is divided by 3/2 - (-2)/(-4).
0
Suppose 59 - 11 = 4*d. What is the remainder when 81 is divided by d?
9
Suppose -151 = -3*k + 5*m, -2*m = 2*k + 2*m - 130. What is the remainder when k is divided by 15?
12
Let d(o) = 2*o**3 - o + 2. Let j be d(2). Let h = j + -12. Calculate the remainder when 15 is divided by h.
3
Let h = -32 - -81. Calculate the remainder when h is divided by 10.
9
Let p(w) be the second derivative of w**4/6 - w**3/3 - w**2/2 + 3*w. Let o(k) = k**2 - 1. Let f be o(-2). Calculate the remainder when 30 is divided by p(f).
8
Let l = 10 + -5. Suppose l*w + 5*c - 180 = 0, 5*c = -3*w + c + 107. Suppose a + 4*q - w = 0, 3*q = 6 - 0. Calculate the remainder when a is divided by 10.
9
Let x(k) = k**2 + 12*k - 13. Let n be x(-12). Suppose 3*h - 3*m = -6 - 3, -5 = h + m. Let t = h - n. What is the remainder when 35 is divided by t?
8
Suppose -u + 5*u = -5*k - 162, -4*k = 4*u + 160. Let n = -19 - u. What is the remainder when n is divided by 86/8 - 57/76?
9
Let z(o) = o**3 + 9*o**2 + 8*o - 2. Let l be z(-7). What is the remainder when (8 - 5) + l/2 is divided by (-1)/2 + 50/4?
11
Calculate the remainder when (-18)/2 + 4 + 114 is divided by 56.
53
Let l(g) = -g + 2. Calculate the remainder when 11 is divided by l(-2).
3
Let n be (1 + 1)/(6 - 5). Suppose -n*w - 2 = -4. Let h(g) = 13*g + 1. Calculate the remainder when h(w) is divided by 8.
6
Let j(g) = -g**2 + 6*g + 4. Let f be j(6). Let u(c) = -c + f + 4*c - 4*c. What is the remainder when 3 is divided by u(2)?
1
Suppose -26 - 9 = -5*l. Calculate the remainder when ((-16)/10)/((-12)/90) is divided by l.
5
Let f(p) = -2*p. Suppose -5*j + 32 = -33. Suppose -2*x + 15 = 2*z - 3*z, -2*x = z - j. Calculate the remainder when f(-10) is divided by x.
6
Suppose y - 12 + 2 = 0. Let g(q) = q**2 - 8*q + 5. Let b be g(7). Let f = b + 21. What is the remainder when f is divided by y?
9
Let b(j) = j**3 - 12*j**2 + 14*j + 19. What is the remainder when b(11) is divided by 11?
8
Suppose -2*f = -2*g - 80, 0 = -f - 4*f - 3*g + 176. Suppose x + 16 = 5*x. Suppose u - 65 = -x*u. What is the remainder when f is divided by u?
11
Suppose 60 - 16 = -2*o. Let q = 37 + o. Suppose 4*w + w - 26 = -2*g, 0 = -3*g + w + 22. What is the remainder when q is divided by g?
7
Suppose -5*u + u = -12. Suppose 5*h - 3*p + u = h, p = 2*h - 1. Suppose 2*v + j - 4 = 1