 -4 + f. Let x(i) = i**2 + 2*i + 2. What is the remainder when x(z) is divided by 6?
5
What is the remainder when 60 is divided by ((-78)/(-4) - 1) + (-6)/(-12)?
3
Let p(z) = z. Let l(y) = 9*y - 7. Let m(f) = l(f) - 6*p(f). Calculate the remainder when 109/4 - (-4)/(-16) is divided by m(7).
13
Let t(l) = l + 7. Let b be t(-10). Calculate the remainder when 6/(-9) + (-131)/b is divided by 15.
13
Suppose 7 = 3*g + 4*w - 27, -g + w = -16. What is the remainder when 40 is divided by g?
12
Suppose 0 = 4*a - 226 + 86. Suppose 2*o - 1456 = -5*w, 5*w - 5*o - 468 - 967 = 0. What is the remainder when 15 is divided by (-4)/14 + w/a?
7
Let t(c) be the third derivative of -c**5/60 + c**4/4 - c**3/3 + 3*c**2. Calculate the remainder when 10 is divided by t(4).
4
Suppose 0 = 2*h + 3*h. Let i = 0 + h. Suppose i*f - m + 7 = 4*f, 20 = -4*m. What is the remainder when 8 is divided by f?
2
Let g(s) = -s**2 + s + 3. Let f be g(0). Suppose -20 = -f*c + c. What is the remainder when (-170)/(-6) - 4/12 is divided by c?
8
Let k = 8 - 5. What is the remainder when 10 is divided by k?
1
Suppose 9*k = -j + 4*k + 11, 5*j + 2*k = 55. What is the remainder when j is divided by 11?
0
Let h(m) = -m**3 + 9*m**2 - 8*m + 5. Suppose -w + 1 = 0, 3*k + 2*w - 23 = -0*w. Calculate the remainder when h(k) is divided by 24.
23
Suppose -4*x = 3*a - 7*x - 24, 2*a - 11 = x. Let p(f) = 12*f + 1. Calculate the remainder when p(a) is divided by 13.
11
Let p = 16 + -22. Let t = -18 - p. Calculate the remainder when 23 is divided by (t/(-10))/((-1)/(-10)).
11
Let c = -9 + 12. What is the remainder when 7 is divided by c?
1
Let o be (736/(-24))/((-2)/3). Suppose 2*l = -0*u - 5*u + 126, -o = -2*u - 3*l. Calculate the remainder when u is divided by 7.
5
Suppose -2*c + 6*c = -60. Let i = c - -16. Calculate the remainder when 3 is divided by i.
0
What is the remainder when 6/(-2)*(-470)/30 is divided by 16?
15
Let c = 99 - 70. What is the remainder when 56 is divided by c?
27
What is the remainder when 22 is divided by (-4*2)/((-12)/18)?
10
Let f(l) = 6*l**2 - 2*l - 2. Let s(m) = -14*m**3 + m**2 + 2*m + 1. Let g = 3 - 4. Calculate the remainder when f(-2) is divided by s(g).
12
Let v(q) = q**2 + 3*q + 5. Let s = -126 + 161. What is the remainder when s is divided by v(-4)?
8
Let z(g) = -4*g + 13. What is the remainder when z(-4) is divided by 11?
7
Let d(z) = z**2 + 2*z. Let h be d(-2). Let x(s) = -s**2 + 11. What is the remainder when x(h) is divided by 8?
3
Suppose q + 10 = 2*q. What is the remainder when 24 is divided by q?
4
Let l = -22 - -49. Calculate the remainder when l is divided by 7.
6
Calculate the remainder when 39 is divided by -10*-2*(-1)/(-2).
9
Let q(n) = n**2 + n + 1. Let x be q(-3). Suppose -5*j + x = k, 4*j = -2 - 14. Calculate the remainder when k is divided by 10.
7
Let h(j) be the second derivative of j**3/6 + 5*j**2/2 - j. Let y be h(-6). What is the remainder when 4 is divided by (0 - 1)/(y/2)?
0
Let b(d) = -d**2 - d + 4. Let h be b(0). Suppose h*n - 8*n + 20 = 0. Calculate the remainder when 14 is divided by n.
4
Let u = 10 - -1. What is the remainder when u is divided by 7?
4
Calculate the remainder when (-3)/(0 + 6/(-92)) is divided by 6.
4
Let o = -292 + 190. Calculate the remainder when 20 is divided by (-12)/42 - o/14.
6
What is the remainder when 59 is divided by 4 - 5 - -7*3?
19
Let w(j) = j**2 + j + 1. Let k be w(-2). What is the remainder when (1 - -12) + 0 - k is divided by 3?
1
Let f(a) = -a**3 - 6*a**2 - 2*a - 4. What is the remainder when 31 is divided by f(-6)?
7
Let l be (-2 + 16/6)*6. Suppose -4*m + 137 = -5*z - 17, -3*z + 102 = 3*m. Suppose 0 = l*u - 136 + m. Calculate the remainder when u is divided by 9.
7
Suppose -5*q + 280 = -4*b, 4*b = -4*q + 9*b + 224. Calculate the remainder when q is divided by 19.
18
Let k(y) = -y**3 + 2*y**2 + 3*y - 2. Let x be k(3). What is the remainder when x/6*-3*25 is divided by 7?
4
Let z(k) = 213*k + 3. Let n be z(-2). Let h be n/(-33) + (-2)/(-11). What is the remainder when 40 is divided by (2 - 1) + 1*h?
12
What is the remainder when (20/(-6))/((-4)/6) is divided by 4?
1
Let l = 82 - 25. Calculate the remainder when l is divided by 20.
17
Suppose -t = -3*h, 0 = 4*h - t - 3 + 2. Calculate the remainder when 3 is divided by h.
0
Suppose 3*u + 4*j = 35, u - 5*u + 15 = -j. Let q(t) = 1 + u*t - 2 - 2 - 2*t. What is the remainder when q(3) is divided by 4?
2
Let v = 7 - -21. Calculate the remainder when 54 is divided by v.
26
Calculate the remainder when 744/40 + (-2)/(-5) is divided by 10.
9
Let l(r) = -2*r**3 - 3*r + 4*r**2 - 9 + 3*r**3 - r + 4*r**2. Calculate the remainder when l(-6) is divided by 22.
21
Let y = -5 + 10. Suppose y*i - w + 616 = -2*w, -3*i - 371 = 2*w. Calculate the remainder when (i/(-9))/(3/9) is divided by 21.
20
Let v = -83 - -155. Suppose -2*f = -5*g - 22, 4*g = -2*f - 2*f + v. Suppose 0*x + 9 = x. What is the remainder when f is divided by x?
7
Suppose -2*w + 161 = -3*n, n = -4*w + 2*n + 337. What is the remainder when w is divided by 22?
19
Suppose -4*u = -25 + 5. Suppose -108 = -u*l - m, m + 30 = l - 3*m. Let g(s) = s. Calculate the remainder when l is divided by g(12).
10
Suppose 8 = s - 6. Let y(n) = n**2 + n - 1. What is the remainder when y(-7) is divided by s?
13
Suppose 0 = -i - 4*x + x + 3, -4*x - 3 = -i. Suppose -4*r - 2*n = -44, 5*r - 52 = 4*n - 10. What is the remainder when r is divided by i?
1
Suppose -2*o + 0 + 28 = -5*i, -4*o = 2*i - 80. What is the remainder when 72 is divided by o?
15
Suppose 5*j = 2*j + 45. Let n(w) = w**3 + 9*w**2 + 9*w + 8. Calculate the remainder when n(-7) is divided by j.
13
Suppose -v = v - 34. What is the remainder when v is divided by ((-90)/(-25))/((-10)/(-25))?
8
Let j(c) = c**3 + 8*c**2 - 10*c. Let l be j(-9). Let h(y) = 2*y - 9. What is the remainder when 42 is divided by h(l)?
6
Let u(g) = -2*g**2 - 24*g - 15. Calculate the remainder when u(-11) is divided by 7.
0
Suppose -6*h + 8*h = 18. Calculate the remainder when 35 is divided by h.
8
Suppose 0 = 4*p - 4*v + 5*v - 56, -2*p - 4*v + 42 = 0. What is the remainder when 49 is divided by p?
10
Let u(f) = 1 - 2*f**3 + 4*f + f**3 + 2*f**3 - 3*f**2 + 13*f**2. Calculate the remainder when u(-9) is divided by 12.
10
Calculate the remainder when (-170)/(-30)*(5 + 1) is divided by 11.
1
Suppose 2 + 3 = 5*r. Suppose 0 = -4*g + 3*g. Let u = r + g. What is the remainder when u is divided by 1?
0
Suppose 2*k - 45 = -7*k. What is the remainder when (6/(-9))/((-3)/63) is divided by k?
4
Let o(q) = -q**3 + 22*q**2 + 30*q - 34. What is the remainder when o(23) is divided by 16?
15
Let i(u) = -u**3 + 2*u**2 + 2*u + 1. Let v be i(-1). What is the remainder when 56 is divided by (v/4)/(2/76)?
18
Suppose 58 = p + 5. Calculate the remainder when p is divided by 11.
9
Suppose -2*c + 49 = 3. Calculate the remainder when c is divided by (42/105)/(3/90 - 0).
11
Let u = -46 + 69. What is the remainder when 67 is divided by u?
21
Let o be 1/((-4)/(-20)) + -1. Suppose -3*w = -13 + 1. Calculate the remainder when (3 + -4)*(-28)/o is divided by w.
3
Suppose 4*v + 5 + 19 = 0. Let l be (-4)/(-2)*(10 + v). Let g = l + -3. Calculate the remainder when 14 is divided by g.
4
Suppose -6*c + 275 = -c. Suppose -4*n + 9*n = c. Calculate the remainder when 21 is divided by n.
10
Let c = 91 + -82. What is the remainder when 44 is divided by c?
8
Suppose -10 = -9*j + 4*j. What is the remainder when 1 + (j + -15)/(-1) is divided by 5?
4
Let b = 37 + -6. Calculate the remainder when b is divided by 11.
9
Suppose 0 = -2*w - 2*w. Let l be w + 2 + (5 - 0). Let b(f) = -f + 9. Calculate the remainder when 2 is divided by b(l).
0
Suppose -2*c + 4*c = 204. What is the remainder when (c/(-24))/(2/(-8)) is divided by 10?
7
Suppose -4*g + n + 18 = 0, 2*g = -2*n - 3*n - 2. Suppose 2*l - 16 = -g. Let p(c) = -c - 2. What is the remainder when l is divided by p(-6)?
2
Let l(a) = -a - 5. Let t be l(-5). Suppose t - 4 = -g. Suppose -6 = g*f + 3*n - 74, -3*f - 4*n + 58 = 0. What is the remainder when 26 is divided by f?
12
Suppose -5*h + 6 = -19. Let s = h - 5. Suppose s*n + 120 = 5*n. Calculate the remainder when n is divided by 13.
11
Let y be 2 + (2 - (-222 - 1)). Suppose -5*t - 37 + y = 0. What is the remainder when t is divided by 10?
8
Suppose 7 = 3*x -