when 43 is divided by m(4).
10
Suppose t + 5 = 25. Calculate the remainder when ((-74)/8)/((-5)/t) is divided by 13.
11
Suppose -f + 3*f - 53 = 5*k, -5*f - 5 = 0. Let b = 0 - k. Calculate the remainder when 21 is divided by b.
10
Suppose 2*a + 9 = 5*a. Let b(i) = 13*i + 55. What is the remainder when b(-4) is divided by (-2 - -4 - 1)*a?
0
Suppose -2*z = -2*t - t + 124, 5*z - 110 = -3*t. Let r = 5 + 0. Suppose 0 = -r*u + 25, 3*o - 25 = -3*u + 32. What is the remainder when t is divided by o?
12
Let i = 8 - 7. Let p(v) = 23*v**2 - 2*v + 1. What is the remainder when p(i) is divided by 8 + 0/(-4 - -2)?
6
Let u be (-4)/18 - 1830/27. Calculate the remainder when (u/(-5))/((-6)/(-15)) is divided by 12.
10
Let x = -95 + 129. Calculate the remainder when x is divided by 13.
8
Let w = -2 - -4. Suppose w*g - 14 = -3*b, 1 = -5*b + 11. Calculate the remainder when 13 is divided by g.
1
Suppose -2*t - 2*t - 88 = 0. Let n = t - -39. What is the remainder when n is divided by 9?
8
Let y(v) = -v**2 + 9*v + 11. Let p be y(11). Let f = p - -22. Calculate the remainder when (-126)/(-4) - 1/(-2) is divided by f.
10
Suppose 0 = 5*g - g - 16. Suppose -g*h + 65 = h. What is the remainder when h is divided by 7?
6
Let s(y) = y**2 - 6*y + 7. Let o be s(5). Suppose 3*u - 111 = -4*i, 2*u - 4*i - i = 74. Calculate the remainder when u is divided by o/7 + (-178)/(-14).
11
Let j(t) = 2*t + 2. Let c be j(2). Let v(k) = k**3 - 5*k**2 - 5*k + 4. Let w be v(c). Calculate the remainder when 6 is divided by (-2)/(-4)*(w + -2).
2
Let z(r) = 2*r**2 - 7*r + 8. Let q be z(4). Suppose -2*u + 25 = 4*i - 7*u, -4*i - 4*u = -52. Let x = q + i. What is the remainder when 85 is divided by x?
19
Let p = -15 - 10. Calculate the remainder when 2 + -4 - p*1 is divided by 13.
10
Suppose j + 168 = -3*j + 2*x, -16 = 4*x. Suppose 2*g - 24 = -0*g. Calculate the remainder when (4/(-8))/(1/j) is divided by g.
10
Calculate the remainder when ((-43)/(-2))/((-5)/(-10)) is divided by 11.
10
Let n(k) = -k**3 + 9*k**2 - 11*k + 4. Suppose 0 = a - 7 - 7. What is the remainder when n(7) is divided by a?
11
Let j(h) = -2*h + 2. Calculate the remainder when j(-10) is divided by 6.
4
Suppose 0*d + 78 = 3*d. What is the remainder when d is divided by 9?
8
Let g(r) = r + 4. Let q be g(-4). Let s be 8/84 + (-183)/(-63). Suppose -s*w + 0*w + 6 = q. What is the remainder when w is divided by 1?
0
Suppose -5*v + 59 = -26. Suppose 2*g = 3*z + 85, 0*z - 270 = -5*g - 4*z. Calculate the remainder when g is divided by v.
16
Calculate the remainder when 21 is divided by 24/(-1)*4/(-8).
9
Let q be ((-2)/4)/(2/(-48)). Suppose -q = -2*o - o. Suppose -2*g + 5 = p - o*g, -3*p + 3*g = -27. What is the remainder when 38 is divided by p?
12
Let p(l) = l + 19. Let g be 1/(3/(-54)*2). Let z(x) = -x**3 - 2*x**2 + 2*x + 4. Calculate the remainder when z(-4) is divided by p(g).
8
Let u = 10 - -6. Calculate the remainder when 78 is divided by u.
14
Suppose -v - 5*h + 35 = -h, -2*h + 135 = 3*v. Let i = 31 - v. Let m = i - -22. Calculate the remainder when m is divided by 4.
2
Let n = 9 - 6. Suppose 0 = -4*t + 5*u + 26, 16 = 5*t + 2*u - 0. Calculate the remainder when t is divided by (-5)/(-1) - (-1 + n).
1
Let k(m) = -m**3 + 9*m**2 - 7*m - 5. What is the remainder when k(6) is divided by 16?
13
Let u be 6/8*(3 + -87). What is the remainder when 28 is divided by 3/((u/30)/(-7))?
8
Let r(l) = -l - 3. What is the remainder when 23 is divided by r(-15)?
11
Let l be (-8)/(-28) + (-2)/7. Suppose 2*z - 5*f - 53 = l, -4*z + 3*f + 2*f + 111 = 0. Calculate the remainder when z is divided by 15.
14
Let h(n) = -n**3 + 7*n**2 - 9*n + 9. Calculate the remainder when 48 is divided by h(5).
6
Suppose 0 = -5*k + 6*k - 8. Let x(o) = 24*o - 5. Let w be x(5). Suppose -4*a - a = -w. Calculate the remainder when a is divided by k.
7
Suppose -4*s + v = -59, -s + 3*v + 24 = 1. Suppose 0 = 2*g + s - 64. Suppose 4*w - 4*i - 10 - 62 = 0, i - 8 = -w. What is the remainder when g is divided by w?
12
Let d(f) be the first derivative of 21*f**2/2 - 4*f + 2. What is the remainder when d(3) is divided by 20?
19
What is the remainder when 4*365/20 - 4 is divided by 14?
13
Let m be (-1208)/(-10) - 16/20. Suppose 0*c + m = 3*c. Calculate the remainder when c is divided by 11.
7
Let y(c) = 3*c**2 - 3*c + 3. Let d be y(-4). Let b = d - 43. What is the remainder when b is divided by 7?
6
Let w(i) = -i**3 + 8*i**2 + 13*i - 14. Suppose 2*s - s - 87 = 0. What is the remainder when s is divided by w(9)?
21
Let s(c) = 2*c**2 - 4*c - 7. What is the remainder when 35 is divided by s(4)?
8
Suppose -65 = -5*w - 5*m, 0 = 4*w + 2*m - 53 - 3. Let b = -8 + 65. Calculate the remainder when b is divided by w.
12
Let y = 22 + -9. Let b(s) = s - 4. What is the remainder when y is divided by b(12)?
5
Let f(u) = -u**3 + 8*u**2 - 11*u - 2. What is the remainder when f(5) is divided by 5?
3
Let j(z) = -z**2 - 8*z + 11. Let x be j(-9). Suppose 0 = x*m + 3*m - 35. Let d(c) = -5*c - 1. Calculate the remainder when m is divided by d(-1).
3
Suppose -2*w - w = -72. Let b = 9 + 4. What is the remainder when w is divided by b?
11
Let t = -16 + 32. What is the remainder when 425/9 - t/72 is divided by 16?
15
Let i(u) = -u**2 + 13*u - 17. Let h be i(13). Let x = 21 + h. What is the remainder when x is divided by 2?
0
Let l(c) = 7*c - 7. Let h(i) = 7*i - 1. Let b be h(1). What is the remainder when l(b) is divided by 34/3 - 2/(-3)?
11
Let p = -11 - -20. What is the remainder when 8/(-2)*17/(-4) is divided by p?
8
Let u = 18 + -16. What is the remainder when 2 is divided by u?
0
What is the remainder when 18 is divided by 15*(-1 - (-15)/9)?
8
Let s = 26 + -18. Suppose 5 + 1 = 2*h. What is the remainder when s is divided by h?
2
Suppose -8*n = y - 3*n - 10, 2*y - 72 = 3*n. What is the remainder when 59 is divided by y?
29
Suppose -2*j + 5*g = -5*j + 7, j + 2*g = 2. Suppose 0*v - 3*v - 4*c + 18 = 0, -3*v - 5*c = -21. What is the remainder when j is divided by v?
0
Let t be (-4 - -2 - 33)/(-1). Let i = -12 + t. What is the remainder when i is divided by 6?
5
Suppose 0 = z + 3*z - 16. Suppose f + 9 = z*f. Let h = f + -1. What is the remainder when 5 is divided by h?
1
Calculate the remainder when 62 is divided by ((-8)/(-64)*-6)/(2/(-56)).
20
Suppose -2*h = -2, p - 4*p + h + 41 = 0. Let d = 4 + -4. Let n = 5 + d. Calculate the remainder when p is divided by n.
4
Suppose 0 = -3*q + 4*c + 53, -4*q = c - 2*c - 62. Calculate the remainder when q is divided by 8.
7
Suppose 96 = -10*y + 13*y. Suppose 47 = -2*p + 6*p - f, 5*p = -f + 52. Calculate the remainder when y is divided by p.
10
Let b = 27 - 25. Let z = -7 + 10. Calculate the remainder when z is divided by b.
1
Calculate the remainder when 2/(-1 + -1) + 1 + 26 is divided by 14.
12
Let z(x) = -x**3 + 7*x**2 + 4*x - 3. What is the remainder when z(5) is divided by 15?
7
Suppose -k + 0*k - 5 = 0, -3*x = -2*k - 316. Suppose -2*g = g - x. Calculate the remainder when g is divided by 9.
7
Suppose -43 = -a + y, -3*a + 127 = -4*y + 2*y. Let o(z) = 2*z**2 - 8*z + 4. Calculate the remainder when a is divided by o(5).
13
Let o(h) = h**3 + 10*h**2 + 9*h + 5. Calculate the remainder when 8 is divided by o(-9).
3
Suppose -3*l + 6 = -72. What is the remainder when l is divided by 14?
12
Suppose -4*x + 2*d = -36, -3*d = -0*x - x + 19. What is the remainder when 27 is divided by x?
6
Let n be 10*((-6)/(-4) - 1). Suppose 0 = -n*r + 2 - 12. Let t = 1 - r. Calculate the remainder when 8 is divided by t.
2
Suppose -2*x = 3*k - 17 - 43, -4*k - 2*x = -78. Suppose 22*q - 5 = 21*q. What is the remainder when k is divided by q?
3
Let h be (-3 - (-84 + 2))*1. Suppose 0 = -5*d - 4*n, 0 = -5*d + 5*n - 34 + h. Calculate the remainder when 7 is divided by d.
3
Let l = -4 + -71. Let i be -5*(-5)/(l/(-126)). Suppose 5*d = -8*q + 5*q + i, -2*d + q = -8. What is the remainder when 16 is divided by d?
4
Let f = -20 + 23. Suppose -6*w + 21 = -f*w. Calculate the remainder when 17 is divided by w.
3
Let w be (-1 - 29)*(-39)/65. Suppose 8 = -2*h + w. What is the remainder when 17 is divided by h?
2
Let z(f) = f + 1. Let c be z(5). Let p = c + 4. Suppose 0 = -4*d + 66 + p. Calculate the remainder when d is divided by 11.
8
Let j = 54 - 9. Suppose 5*c - 59 = -3*x, 0*c - 3*c + 3*x = -j. Calculate th