Let h(v) be the first derivative of -v**3/3 - 7*v**2/2 - v - 1. What is the remainder when w is divided by h(-6)?
4
Suppose 0 = -3*q - 0*q + 30. Let x(v) = -3*v - 2. Let l be x(-3). Suppose -5*b = -o - 21, -l = -2*b - o - 0*o. What is the remainder when q is divided by b?
2
Suppose -h = 2*b - 32, -5*h = -5*b + 7*b - 24. What is the remainder when b is divided by 6?
5
Suppose -f + 120 = -c + 5*c, -150 = -5*c - 3*f. Calculate the remainder when c is divided by 16.
14
Suppose -v = 4, 346 = -0*l + 5*l - 4*v. Suppose -l = -4*d + 2*w + 50, 29 = d - 5*w. What is the remainder when d is divided by 10?
9
Let a = -59 + 81. What is the remainder when 64 is divided by a?
20
Let o be 328/12 + 2/3. Suppose 4*z - 3*z = -4*j - 75, 5*j = 2*z - 97. Let h = o + j. Calculate the remainder when 25 is divided by h.
7
Let t be (16 - 0)/(16/(-24)). Let s = t + 25. What is the remainder when 3 is divided by s?
0
Let y(v) = -v - 1. What is the remainder when 13 is divided by y(-8)?
6
Let j(v) = 6*v**2 - 3*v. Suppose -5*q + q = -208. Calculate the remainder when q is divided by j(2).
16
Let i(v) = v**3 + 3*v**2 - 2*v + 1. Calculate the remainder when 4/4 + (1 - -10) is divided by i(-3).
5
Suppose -m + 1 = -z, -3*z - 21 + 38 = m. Let f(c) = c**2 + c - 3. Let v be f(-6). Suppose -v = -3*r - 6. Calculate the remainder when r is divided by z.
3
Let c(i) = i + 14. Calculate the remainder when 14 is divided by c(-6).
6
Let p = -123 - -225. What is the remainder when p is divided by 15?
12
Suppose -2*m - 3 + 1 = -4*t, 4*m = 2*t + 14. Let f = 2 + m. What is the remainder when 13 is divided by f?
6
Suppose -c = -6*c + 3*j + 40, 34 = 4*c - 2*j. Suppose -12*n + 7 = -11*n. What is the remainder when c is divided by n?
4
Let o(u) = -2 - 4*u**3 - 10*u**2 - 11*u + 3*u**3 + 11*u - 12*u. Calculate the remainder when o(-9) is divided by 13.
12
Let d be (20/8)/((-1)/(-16)). Let a(q) = -q**3 - 5*q**2 + q. Let n be a(-6). Suppose -n = -5*z + d. What is the remainder when 26 is divided by z?
12
Let g(s) = -4*s + 7. Let d be g(6). Let j = d + 33. Suppose -5*h = -4*h + l - 6, 24 = h - 5*l. Calculate the remainder when j is divided by h.
7
Let y(k) be the third derivative of -k**6/120 + k**5/5 + 5*k**4/8 - 11*k**3/6 + k**2. Calculate the remainder when 28 is divided by y(13).
13
Let d = -28 + 112. Calculate the remainder when d is divided by 43.
41
Let u(h) = -129*h**3 + h**2 + 11*h + 5. Let t(y) = -26*y**3 + 2*y + 1. Let i(r) = 11*t(r) - 2*u(r). Calculate the remainder when i(-1) is divided by 14.
13
Let o = -137 - -256. What is the remainder when o is divided by 20?
19
Let r(l) = l**2 + 3*l. Let k be r(-4). Suppose -k*z = 12 - 4. What is the remainder when z*(-34)/(-16)*-4 is divided by 6?
5
Let b(m) = 26*m + 1. Let a(x) = 9*x. Let r(g) = 17*a(g) - 6*b(g). What is the remainder when 2 + -1 + (-30)/(-2) is divided by r(-5)?
7
Let t(f) = f**2 + 3*f + 2. Let a be t(-3). Let s be 4/14 - (-9)/(-7). What is the remainder when 26 is divided by (a/(-3))/(s/21)?
12
Let t(l) = 2*l + 12. Calculate the remainder when 12 is divided by t(-4).
0
Let z = 10 + -15. Suppose u - n - 20 = -2*u, -3*u - 3*n = 0. Calculate the remainder when u is divided by (-12)/z + (-24)/60.
1
Let x(i) = i**3 + 3*i**2 + 3*i - 7. What is the remainder when 166 is divided by x(3)?
54
Let v = -60 - -107. Calculate the remainder when v is divided by 16.
15
Let j(c) = c**3 + 13*c**2 + 15*c + 8. Calculate the remainder when j(-11) is divided by 18.
13
Let w(v) = v**2 + 2*v - 15. Let j be w(-7). Suppose -5*c - 4*g + j = 0, 5*c = 4*c + 2*g + 18. Calculate the remainder when c is divided by 3.
2
Suppose 3*m = 47 - 11. Suppose 0 = s + s - 6. Suppose -2*t - 38 = -4*h, -5 = -s*t - 20. Calculate the remainder when m is divided by h.
5
Let u(y) = -y**2 + 10*y. Let b be u(9). Suppose 3*g - 4*g + b = 0. What is the remainder when 17 is divided by g?
8
Suppose 2*l + 0*l - 3*z = -3, 5*l - 3*z + 3 = 0. Suppose -3*d + 3 + 6 = l. What is the remainder when 3 is divided by d?
0
Suppose -3*d = -2*d - 28. Calculate the remainder when d + (-1)/(-1) + 1 is divided by 16.
14
Let x(p) = p**2 + 4*p + 7. Let v(g) = -3*g**2 - 13*g - 20. Let z(f) = 4*v(f) + 11*x(f). Calculate the remainder when z(-6) is divided by 5.
4
Suppose -50 + 14 = -2*s. Suppose -4*q + 255 = q. What is the remainder when q is divided by s?
15
Suppose 4*u = -3*k + 3*u + 9, 0 = -5*k - 2*u + 15. Suppose -3*m = -f + 65, 2*f + k*m = 4*m + 120. What is the remainder when f is divided by 21?
17
Suppose 100 = 30*h - 25*h. Calculate the remainder when h is divided by 6.
2
Suppose 2*y + 150 = 7*y. What is the remainder when 119 is divided by y?
29
Suppose 2*b + g - 76 = 0, -5*b + 2*g = 3*g - 193. Calculate the remainder when b is divided by 14.
11
Suppose 4*u - 20 = -c, -32 = 2*u - 5*u - 5*c. Suppose u*v = 62 - 14. Calculate the remainder when 45 is divided by v.
9
Let s(r) = -21*r - 5. Let f be s(-4). Let c = -42 + f. What is the remainder when c is divided by 19?
18
Suppose u = 3 - 4, 12 = 5*j - 2*u. Let r be (-1 - 0)/(j/(-6)). Suppose 26 = r*c - c. Calculate the remainder when c is divided by 5.
3
Suppose -3*v + 5*u + 0*u + 20 = 0, 0 = 2*v - 2*u - 16. Calculate the remainder when 28 is divided by v.
8
Suppose 0*f - 6*f + 30 = 0. Calculate the remainder when 20 is divided by f.
0
Let g(w) = w - 10. Calculate the remainder when 9 is divided by g(15).
4
Suppose 5*o - 72 = -z, o = 5*z + 4*o - 294. Calculate the remainder when z is divided by 21.
15
Let d = -35 - -44. Calculate the remainder when d is divided by 6.
3
Let p(a) = a**2 - a - 4. Let h be -1 + 3 + 1*-15. Calculate the remainder when p(7) is divided by h/(-3)*(2 - -1).
12
Suppose -4*b + 50 - 11 = -5*h, -4*h + 36 = b. Calculate the remainder when b is divided by 3.
1
Suppose -5*s - 60 = -5*y, y - 5 - 1 = -s. Let r = -5 + 11. Calculate the remainder when y is divided by r.
3
Let t = -3 + 1. What is the remainder when 0 + (-1 + 0 - t) is divided by (-3)/(-6) + 2/(-4) + 1?
0
Let s(h) be the third derivative of -h**4/12 - h**3/6 - h**2. Suppose 0 = -4*i - 8. What is the remainder when 7 is divided by s(i)?
1
Suppose 2 + 6 = s. Let l = s - -8. Suppose 5*h + 3*y = 139, -2*h + 36 = 3*y - 16. What is the remainder when h is divided by l?
13
Suppose -u - 10 + 150 = 0. Suppose -32 = 3*l + 4*y - u, 3*y - 180 = -5*l. Calculate the remainder when l is divided by 13.
10
Let f(t) = -9 + 3 - 2*t**3 - t**2 - 3*t + 3*t**3. Let w be f(-5). What is the remainder when 2/(-6)*w/1 is divided by 16?
15
Let m = 131 + -115. Calculate the remainder when 74 is divided by m.
10
Suppose -11 = -g - 2. Let s be (-2)/g - (-1059)/27. Suppose s = -0*a + 3*a. What is the remainder when a is divided by 7?
6
Suppose -4*n + 4*g - 140 = -9*n, -2*n + 5*g = -23. What is the remainder when n is divided by 13?
11
Let r = 1 - -9. Let f = r - 7. What is the remainder when 11 is divided by f?
2
Let l(o) = -3*o + 5. Suppose -375 = -5*n - 0*n. Calculate the remainder when n is divided by l(-7).
23
Let u = 10 + -25. Let p = u - -25. What is the remainder when (7 - 2)*76/10 is divided by p?
8
Suppose 5*n - 34 = 51. Let p(d) = d**3 + 11*d**2 + 7*d - 20. What is the remainder when n is divided by p(-10)?
7
Let u(g) = -15*g**3. What is the remainder when 74 is divided by u(-1)?
14
Suppose -8 = 2*j, -3*g + j - 5*j = 13. Let w(c) = 39*c. What is the remainder when w(g) is divided by 20?
19
Let h be -2 - 5/((-15)/(-9)). Let f(v) = v**2 - 6*v + 6. Let k be f(h). Suppose k - 256 = -5*a. What is the remainder when a is divided by 10?
9
Suppose -2 = -2*t + 4. Suppose 0 = 14*k - 17*k + 21. Calculate the remainder when k is divided by t.
1
Let y = 61 + -27. Suppose -10 = 2*r - 34. Calculate the remainder when y is divided by r.
10
Suppose 2*w - 66 = 12. Suppose 5*i - w = -14. Calculate the remainder when 17 is divided by i.
2
Calculate the remainder when 7 is divided by -1*-2*(-9)/(-6).
1
Suppose -22 = 3*q + 11. Let f = 2 - q. Suppose -6*z = z - 49. What is the remainder when f is divided by z?
6
Let b(h) = -3*h + 5. Let c be b(9). Let m = -4 - c. What is the remainder when 17 is divided by m*(2 + -4)/(-4)?
8
Let o(d) = -d**2 + d + 2. Let k(b) = -2*b**2 + b + 3. Let r(v) = -3*k(v) + 5*o(v). Calculate the remainder when 2 is divided by r(-2).
0
Suppose -8 = -t + 2*z, -4*t + z + 0*z = -18. Suppose 5