se -3*v - 3*v + 30 = 0. Let m(d) be the second derivative of -d**3/6 + d**2 - 2*d. Calculate the remainder when v is divided by m(-2).
1
Suppose 0 = u - 0 - 10. Let n(a) = 2*a**2 + 23*a - 12. Calculate the remainder when n(-13) is divided by u.
7
Let n = 14 - 10. Let j = n + 15. Calculate the remainder when 54 is divided by j.
16
Let i(c) = -1 + 3*c**2 + c**3 + 4*c**2 - 10*c + 0*c. Let k(d) = -d - 2. What is the remainder when i(-8) is divided by k(-10)?
7
Let n(c) = c**2 + 6*c + 3. Let i be n(-5). Suppose 0 = -4*v - 13*v + 85. Calculate the remainder when v is divided by 5*(24/10 + i).
1
Suppose -7*c + 40 + 2 = 0. Calculate the remainder when 20 is divided by c.
2
Let l(g) = -2*g - 2. Calculate the remainder when 9 is divided by l(-4).
3
Suppose 4*t - 22 = -6. Calculate the remainder when t is divided by 2.
0
Let o(a) = -a**3 - 5*a**2 + 5*a + 6. What is the remainder when 34 is divided by o(-6)?
10
Let u = -18 + 28. Let a(x) = x**3 - 9*x**2 - 9*x + 9. Let r = 81 + -25. Calculate the remainder when r is divided by a(u).
18
Suppose 3*t = -j + 3*j + 25, 3 = t + 2*j. Suppose -2*s - 3 = -11. Calculate the remainder when t is divided by s.
3
Let n = 10 - -60. What is the remainder when n is divided by (-2)/(-7) + 166/7?
22
Suppose 5*n = n + 80. Suppose -5 = -3*j - 20, -j - n = -5*z. What is the remainder when 4 is divided by z?
1
Calculate the remainder when 82 is divided by (114/(-36))/19 - (-127)/6.
19
Suppose 5*v = 3*z + 3*v - 7, -5 = -3*z + 4*v. Suppose -x - 3*x + 48 = 2*w, -z*x + 50 = -2*w. Calculate the remainder when x is divided by 8.
6
What is the remainder when (1 - -51) + -1 + 2 is divided by 408/32 - (-10)/8?
11
Let f(c) = c + 30. Let q be f(-13). Suppose -4*n - g = -3*n - 3, -5*n = 3*g - q. Suppose n = -i + 8. Calculate the remainder when i is divided by 2.
0
Let l = -6 + 10. Let j(r) = 11*r**3 + 2*r**2 - 2*r + 1. What is the remainder when j(1) is divided by l?
0
Let y = -15 + 15. What is the remainder when y + -3 - (-7 - 7) is divided by 4?
3
Suppose 2*q - 31 = 11. Let i(w) = 4*w**2 + 17*w + 1. Let n(v) = -2*v**2 - 9*v. Let x(u) = 3*i(u) + 5*n(u). What is the remainder when q is divided by x(-4)?
10
Let k(u) = u**3 + 8*u**2 - 7*u - 6. Let f be k(-8). Let b = 84 - f. Let c = 52 - 34. Calculate the remainder when b is divided by c.
16
Let w(f) = 4*f - 9. What is the remainder when w(8) is divided by 6?
5
Let v(g) = -g**3 - 19*g**2 - 20*g - 11. Calculate the remainder when v(-18) is divided by 11.
3
Let i(x) = -x**2 - 8*x - 5. Let s be (8/(-6))/((-1)/9). Suppose 2*y - 4*z + s = z, 4*z = 16. Calculate the remainder when i(-6) is divided by y.
3
What is the remainder when 15 is divided by 1/(-3)*-15*(0 - -1)?
0
Let u = -54 + 12. Let o = u - -84. Let i(j) = -3*j - 20. What is the remainder when o is divided by i(-14)?
20
Let b(i) = -i**3 - 5*i**2 + 7*i + 5. Let o be b(-6). Let p = o - -22. What is the remainder when p is divided by 8?
5
Suppose -4*n + 46 = 2*o - 0*o, 8 = 2*n - 2*o. What is the remainder when n is divided by (-76)/(-28) - (-2)/7?
0
Suppose -2*a + 32 = -16. Calculate the remainder when a is divided by 13.
11
Suppose -x - 4 = 0, 5*g + x - 6*x = 95. Let a = g - 4. What is the remainder when 30 is divided by a?
8
Let h = 16 - 11. Suppose 3*u + 13 = -2*t - 2*u, -4*t + h*u = -49. Suppose i = -a + t*i + 25, 0 = 2*a - 2*i - 26. What is the remainder when 29 is divided by a?
9
Suppose 4*t - h - 82 = -6*h, 52 = 3*t - h. Calculate the remainder when t is divided by 4*2/8*10.
8
Let c be (-1)/2*0/(-2). Suppose r - 5*r + 32 = c. What is the remainder when r is divided by 2/12 + (-29)/(-6)?
3
Let u = -1 + 6. Suppose -u*o - 2*k - 42 = -171, -3*o - 5*k = -85. Calculate the remainder when o is divided by 9.
7
Let h(d) = 82*d - 1. Let w be h(1). Suppose -5*a + 2*u = -80, -4*a + w = -10*u + 5*u. Calculate the remainder when a is divided by 3 + ((-10)/(-2) - 3).
4
Let x = 1 - -2. Let j = 6 + -5. What is the remainder when j is divided by 3 - (-3 + x) - 2?
0
Let w = 14 - -8. Suppose 0*j + 3*j - 24 = 0. Calculate the remainder when w is divided by j.
6
Suppose -v + 2*v = 3, -3*w = -4*v + 48. Let h be (-6)/(-4) - (-4)/8. Let x = h - w. What is the remainder when 40 is divided by x?
12
Let j = 9 - 5. Suppose j + 4 = r. Let w(f) = -2*f - 9. Calculate the remainder when w(-12) is divided by r.
7
Let g(x) = x**3 + 6*x**2 + 6*x + 3. Let q(t) = -t**2 - t - 1. Let v(s) = g(s) - q(s). Let m be v(-6). What is the remainder when 17 is divided by 5/m*(-54)/15?
8
Suppose -w + 15 - 1 = 0. Calculate the remainder when 505/13 + (168/78 - 2) is divided by w.
11
Let n(y) = -y**2 + 6*y - 4. Let h be n(4). Suppose -h*w + 164 = -8. Calculate the remainder when w is divided by 73/5 - 6/(-15).
13
Let j(b) = -12*b**3 + b + 1. Let z = 52 + -91. Let f = z - -62. Calculate the remainder when f is divided by j(-1).
11
Let x(q) = -q - 8. Let c(l) = l**3 + 2*l**2 - l - 4. Let h be c(-3). Calculate the remainder when 2 is divided by x(h).
0
Let n be (-552)/(-18) - 1/(-3). Let v = -15 + n. Calculate the remainder when 62 is divided by v.
14
Let h = -15 + 46. Calculate the remainder when h is divided by 8.
7
Let w(k) = 2*k**2 - 5*k + 24. Calculate the remainder when w(7) is divided by 8.
7
Suppose f = -f + 22. Let w(h) = -6*h + 2. Calculate the remainder when w(-5) is divided by f.
10
Let v be 4*(-4)/((-32)/130). Suppose 0*k = -5*k + v. What is the remainder when k is divided by 5?
3
Suppose 10*s - 11*s = -4*o - 111, 489 = 5*s + 2*o. Suppose 20 = 2*g - 4*j, g - 80 = -2*g - 4*j. Calculate the remainder when s is divided by g.
19
Let z(j) = j**3 - 3*j**2 + 3*j - 3. Let m be z(3). Suppose -3*t - 5*h = -m*t + 24, 4*t - 67 = -5*h. Calculate the remainder when t is divided by 4.
1
Suppose 4*b - 16 = 0, v + 39 = -3*b + 2. Let c = -33 - v. Let w = -10 + 40. Calculate the remainder when w is divided by c.
14
Let y(z) = -z**2 - 8*z + 6. Calculate the remainder when 114 is divided by y(-7).
10
Let y(n) = 5*n - 3. What is the remainder when 45 is divided by y(3)?
9
Suppose 3*w + 114 = 4*j, -3*w - 12 = j - 48. Suppose 0 = -6*k + 4*k + j. Calculate the remainder when 29 is divided by k.
14
Suppose 237 = 3*g - 2*d, -2*d - 256 = -5*g + 135. Suppose 3*r + 1 + g = 0. Let x = 53 + r. What is the remainder when x is divided by 14?
13
Suppose -16*r + 1077 = -187. What is the remainder when r is divided by 27?
25
Let v(c) = -c**3 - 7*c**2 - 9*c - 1. Let k be v(-6). Let y = k + -12. Suppose -8*o = -7*o + 2*d, -5*o + 5*d = -15. What is the remainder when y is divided by o?
1
Suppose 2*f = -0*f. Suppose 2*s + f = 6. What is the remainder when 9 is divided by s?
0
Let p(i) = -2*i + 1. What is the remainder when p(-1) is divided by 1?
0
Suppose f = -4*f + 10. Let d(i) = 6*i**2 + 2*i - 3. What is the remainder when d(f) is divided by 9?
7
Let p(y) = -2*y + 4. Let w be (-24)/9 - 1/3. Calculate the remainder when ((-38)/w)/(2/3) is divided by p(-3).
9
Let q = 17 + -26. Let x = q - -20. What is the remainder when 6/21 + (-138)/(-7) is divided by x?
9
Suppose 4*i + 0*x - 5*x - 330 = 0, 4*i + 2*x - 316 = 0. What is the remainder when i is divided by 21?
17
Let t(c) = 14*c - 31. What is the remainder when t(11) is divided by 9?
6
Suppose -1 = 2*j - 4*v - 15, 5*v = -5. Suppose 2*g - 4*g + 64 = 3*k, j*k + 58 = 3*g. What is the remainder when g is divided by 9?
8
Let p(u) = u**2 - 7*u - 24. Let o = -71 - -110. What is the remainder when o is divided by p(-4)?
19
Let s = 7 - 4. Let v be 1 - -8 - (s + -3). What is the remainder when 20 is divided by 21/(-2)*(-6)/v?
6
Suppose 0 = -7*u - 26 + 96. Calculate the remainder when 45 is divided by u.
5
Suppose 0 = -3*c + 2*d - 6*d - 14, -c + d = -7. Let i be (-1 + 8)/(c/2). Suppose i = z - 21. What is the remainder when z is divided by 15?
13
Let o = -12 - -23. Let k = -9 - o. Calculate the remainder when (-12)/k - (-27)/5 is divided by 4.
2
Suppose -3*s = -107 + 44. What is the remainder when 61 is divided by s?
19
Let w(p) be the second derivative of p**4/12 - p**3 + 6*p**2 - 6*p. What is the remainder when w(8) is divided by 1 + -2 + 3 + 8?
8
Suppose 5 = -5*i + 5*c + 20, 39 = 5*i + c. Calculate the remainder when 23 is divided by (-6)/(-21) + 54/i.
7
Suppose -5*f - 11 = -f + d, -4*d - 12 = 0. Let g be (-11 - (f + 1)) + 2. Let s(b) = -3*b + 8. What is the remainder wh