8)?
8
Let z = 11 + -2. Let l(j) = -j**2 - 12*j - 9. Calculate the remainder when l(-7) is divided by z.
8
Let w = 38 + -14. What is the remainder when (-2120)/(-30) - 4/6 is divided by w?
22
Let p(g) = -g**3 + 9*g**2 - 12*g + 1. Let t(z) = -z**3 + 9*z**2 - 13*z + 2. Let f(a) = 6*p(a) - 5*t(a). What is the remainder when f(7) is divided by 12?
9
Let a(y) be the third derivative of y**6/120 - y**5/15 + 2*y**3/3 - 3*y**2. What is the remainder when a(5) is divided by 16?
13
Suppose -4*z = 2*b + 16, -9 = z - 0*z + 3*b. Let k = z - -2. Calculate the remainder when (k/(-2))/((-1)/(-8)) is divided by 2.
0
Suppose p - 5*s = 25, 0 = -2*p - s + 2*s + 5. Let l be 4 + 2 - (1 + p). Suppose d - 4 = -2*y - 2, -l*d = -y + 1. What is the remainder when 2 is divided by y?
0
Suppose 1 = 5*m - 19. Suppose 0 = m*x + 4*b - 12, 2*b = 2*x - 7*x + 30. What is the remainder when 22 is divided by x?
6
Let d(g) = -53*g - 8. Let c be d(6). Let y = -61 + 82. What is the remainder when 1/4 - c/8 is divided by y?
20
Let g(b) = -b**2 + b + 90. What is the remainder when g(0) is divided by 23?
21
Let t(p) = 4*p + 1. Suppose 0*s - 15 = -5*s. Calculate the remainder when 37 is divided by t(s).
11
Let n(b) = -11 + 38*b - 35*b + 0. Calculate the remainder when 55 is divided by n(13).
27
Suppose 3*t - 2*t + 2*p = 39, 219 = 5*t - 2*p. What is the remainder when t is divided by 11?
10
Suppose 2*a + 34 = 3*a. Let b = -22 + 42. Let x = b - 8. What is the remainder when a is divided by x?
10
Let f = 6 - 9. Let v be 2/f - (-52)/6. Calculate the remainder when -1*(-1 + v)*-4 is divided by 15.
13
Let s(w) = -w**3 + 12*w**2 - 10*w - 10. Let d be s(10). Suppose 4*v = -2*v + d. Calculate the remainder when 73 is divided by v.
13
Let c = -29 + 16. Let i(o) be the second derivative of -o**4/12 - 8*o**3/3 - 17*o**2/2 + 7*o. What is the remainder when 64 is divided by i(c)?
20
Suppose -4*i - 7*s + 3*s + 20 = 0, -s - 45 = -4*i. Calculate the remainder when 39 is divided by i.
9
Let n = -28 - -47. Let p = 1 - 4. Let w = p + 10. Calculate the remainder when n is divided by w.
5
Suppose 3*g = 3*q - 57 - 27, 4*g + 140 = 5*q. Calculate the remainder when q is divided by 10.
8
Let z(p) = p**3 + 5*p**2 + 3*p + 2. Let f be z(-4). Let v(h) = 3*h - h - f*h - 2. Calculate the remainder when v(-6) is divided by 8.
6
Calculate the remainder when 205/4 + 4/(-16) is divided by 27.
24
Let j(p) = p**3 + 17*p**2 + 4. Calculate the remainder when 11 is divided by j(-17).
3
Let w(j) = -j**3 - 11*j**2 - 11*j - 6. Let q be w(-10). Suppose -y = r - q*y - 23, 0 = -4*r - y + 27. What is the remainder when r is divided by 1 + 2 + 1 + -1?
2
Suppose -5*u = b - 90, -b + 2*b = 0. Calculate the remainder when 107 is divided by u.
17
Suppose 3*o - 2*n = 7*o - 230, -2*n - 283 = -5*o. Calculate the remainder when o is divided by 12.
9
Let j(r) = r**2 - 2*r + 2. What is the remainder when 74 is divided by j(6)?
22
Let j(p) = -p + 11. Let t be j(11). Suppose t*v - 3*v = -15. Let k(h) = h**2 + 2*h - 2. What is the remainder when k(3) is divided by v?
3
Let k(y) = y - 8. Let g = -11 - -15. Calculate the remainder when g is divided by k(11).
1
Let q = -10 + 17. Suppose 3*w = 2*w + q. Calculate the remainder when w is divided by 5.
2
Let o(z) = z**3 - 3*z**2. Suppose -2*d = p - 8, -6*p + p - 3*d + 26 = 0. Let r(s) = s + 2. Calculate the remainder when o(4) is divided by r(p).
4
Suppose -3*p + 9 = -0*o - 3*o, -3*o = 0. Suppose 11*d - 10 = 10*d. What is the remainder when d is divided by p?
1
Suppose 2*y + 12 = -y. Let r = 54 + y. Let b(w) = -19*w - 2. Calculate the remainder when r is divided by b(-1).
16
Let v = -24 - -54. Calculate the remainder when 17 is divided by 30/(-45)*v/(-4).
2
Let l be (3/6)/((-4)/(-16)). Let u = l - 1. What is the remainder when u is divided by 1?
0
Let x = 21 + -13. What is the remainder when x is divided by 6?
2
Let h be 6/(-27) - (-79)/(-9). Let u(k) = k**3 + 8*k**2 - 10*k - 3. Let n be u(h). Let l = -5 + n. What is the remainder when l is divided by 1?
0
Let l = 0 - 3. Let d be (-1)/l - (-40)/15. Let r = 0 + d. What is the remainder when 8 is divided by r?
2
Let f(x) = -x**3 + 4*x**2 - 3*x + 6. Let i be f(4). Suppose 3*k + 105 = -2*k. Let p = i - k. Calculate the remainder when 29 is divided by p.
14
Suppose -5*b = -47 - 28. Suppose 0 = 4*r + 3*c - 160, -4*r - 113 = -7*r - 4*c. Calculate the remainder when r is divided by b.
13
Let o be 3*1 + 7 + -6. Let q(b) = 2 + 2*b - 1 - 6. Calculate the remainder when 5 is divided by q(o).
2
Let w(j) = -j**3 + 10*j**2 - 7*j - 13. Let a be w(9). Suppose 21 = 4*m - a*g - 11, g + 13 = 3*m. What is the remainder when ((-1)/2)/(4/(-40)) is divided by m?
2
Let f = -28 - -17. Let b = 2 - f. What is the remainder when 75 is divided by b?
10
Let k(l) = -28*l**3 - l**2 + l + 1. Calculate the remainder when k(-1) is divided by 20.
7
Let z(s) = 3*s**2 - 4*s - 12. Calculate the remainder when z(-5) is divided by 22.
17
Suppose 4*x = 112 + 24. Let r = -18 + x. Calculate the remainder when r is divided by 9.
7
Let b(q) = -q**3 - 7*q**2 + q + 9. Let g be b(-7). Calculate the remainder when 2/(2/4*g) is divided by 1.
0
Calculate the remainder when ((-15)/(-9) + -1)/(8/60) is divided by 3.
2
Let m be 0 - 0 - 270/(-10). Let n = m - 18. Let c = -5 + n. What is the remainder when 9 is divided by c?
1
Suppose -5*l - 4*k - 3 = 0, -4*k = k + 10. Let a = l - 1. Suppose -5*s + 6 + 29 = a. What is the remainder when 19 is divided by s?
5
Let g = -79 - -83. Calculate the remainder when 6 is divided by g.
2
Let s = 3 + 1. Let u(m) be the second derivative of m**3/2 - 5*m**2/2 + m. What is the remainder when 20 is divided by u(s)?
6
Let f = -72 - -100. What is the remainder when 139 is divided by f?
27
Let i = 12 - -17. Let t = -3 + i. Suppose -t = -3*c - 2. What is the remainder when 22 is divided by c?
6
Suppose 0 = -21*g + 16*g + 120. Let a = -9 - -18. Calculate the remainder when g is divided by a.
6
Suppose -3*m - 3*t - t = -69, 0 = -4*t. Calculate the remainder when m is divided by 17.
6
Suppose 3*g = 4*r - 152, 160 = 4*r + g - 6*g. Calculate the remainder when r is divided by ((-9)/27)/(4/(-108)).
8
Suppose 0 = -5*u + 208 + 262. What is the remainder when u is divided by 25?
19
Let c = -154 - -186. Suppose 0 = 5*z - z + 2*d - 510, z - 114 = 4*d. Calculate the remainder when z is divided by c.
30
Calculate the remainder when 23 is divided by 8 + (-1)/((5/(-2))/(-5)).
5
Let b be (25/(-10))/((-1)/2). Suppose -13 = -b*k + 2*y, k + 0*y + 2 = 5*y. Calculate the remainder when k is divided by 2.
1
Let f = 1 - -8. Suppose 4*v + 15 = -v. Calculate the remainder when -2 + (-55 - -1)/v is divided by f.
7
Let o be (-1)/(-2 + 18/10). Suppose 3 = j, 4*g - o*j + 4 - 25 = 0. What is the remainder when g is divided by 5?
4
Let d = 36 - 35. Let s be 2/(-8) - 1/(-4). Calculate the remainder when 20 is divided by 7 + (-1 - (s - d)).
6
Calculate the remainder when 2 is divided by -1 - (0 + (-2)/((-10)/(-15))).
0
Let g(p) = 2*p - 5. Let f be g(-3). Let d(h) = h**3 + 11*h**2 - 2*h - 9. Calculate the remainder when 22 is divided by d(f).
9
Let k = -4 - -7. Suppose 56 = k*d - 2*d. Calculate the remainder when d is divided by 19.
18
Suppose -t = 0, -t = 4*v - 3*v - 7. Suppose -3*c = v - 31. Suppose -45 = -2*j - j. Calculate the remainder when j is divided by c.
7
Let a = -87 + 127. Suppose -15 = -5*d - 5*t, -9 = -4*d - 7*t + 4*t. Suppose -4*k - 23 + 79 = d. Calculate the remainder when a is divided by k.
12
Let o = 12 - -2. Calculate the remainder when 67 is divided by o.
11
Let s(g) = 2*g + 4. Let p be s(3). Let a(z) = z**2 - 5*z + 6. Let b be a(4). Suppose p = b*h - 2. What is the remainder when h is divided by 3?
0
Let n be -5*3/(1 - -2). Let b = 7 + n. What is the remainder when 13 is divided by (-85)/(-10) - 1/b?
5
Suppose -2*r + 4 + 0 = 0. Suppose 2*p = -r*f - 0*f + 14, 0 = 4*p - 5*f + 8. Calculate the remainder when 5 is divided by p.
2
Let w = 2 - 3. Calculate the remainder when 32 is divided by (w/(-2))/((-2)/(-44)).
10
Suppose -3*y - 2*m = -605, -5*y - 4*m + 215 = -4*y. Calculate the remainder when y is divided by 50.
49
Let z be (1 - -193)*(-3)/(-6). Suppose 37 = -4*c + z. Suppose 9 = 2*u - c. What is the remainder when u is divided by 7?
5
Let n = -2 - 6. Calculate the remainder when n/(-10)*(-250)