 z(r) = -r**3 - 6*r**2 + 7*r + 12. What is the remainder when z(-7) is divided by 5?
2
Let h(a) = a**2 + 6. Calculate the remainder when 109 is divided by h(-4).
21
Let x = -5 + -16. What is the remainder when 29 is divided by 38/4 + x/14?
5
Let v be 36/(-8)*(-92)/(-3). What is the remainder when 160/6 + (-2)/3 is divided by 1/5 + v/(-10)?
12
Let c(z) be the third derivative of z**4/2 + z**3/6 - 6*z**2. Suppose u = 6*u - 15. What is the remainder when c(u) is divided by 13?
11
Let j be (16/(-6))/(2/(-69)). Suppose j = 4*m + 4*p, -4*m + 87 = p + 4*p. Let q = 32 - 17. Calculate the remainder when m is divided by q.
13
Suppose 0 = 4*t - 4*i - 8, -5*i = -18 - 2. Let h = -4 + 0. Let s = h + 19. Calculate the remainder when s is divided by t.
3
Let t(q) = -q**3 + 9*q**2 - 5*q - 6. What is the remainder when t(7) is divided by 29?
28
What is the remainder when 4 is divided by (-1)/(-3 - -2 - (-2)/4)?
0
Suppose 3*p - 244 = -2*f, -p + 4*p - 247 = f. Calculate the remainder when p is divided by 28.
26
Let x(s) = -s**2 - 7*s - 4. Let r be x(-6). Suppose 4*f - 31 = 2*y + 7, -r*f + 2*y + 20 = 0. What is the remainder when (-17)/(-2)*(1 - -1) is divided by f?
8
Suppose -3 + 0 = -r + 3*x, 4*r - 21 = 3*x. Calculate the remainder when 11 is divided by r.
5
Let x = 18 + -9. Let d = x - 5. Calculate the remainder when d is divided by 2.
0
Suppose -6 = t - 3*t. Suppose -5*a + p = -57, -t*a + 3*p - p = -30. Calculate the remainder when a is divided by 7.
5
Suppose m + 3*k = 15, m - 5*k - 15 = -10*k. Let u = -4 - -2. Calculate the remainder when m is divided by 2/2 - (u - 3).
3
Let g = 2 - -3. What is the remainder when 17 is divided by g?
2
Suppose -6 = -3*b + 3. Suppose a - 11 = b*o + 8, 3*o = -3*a + 57. What is the remainder when 36 is divided by a?
17
Suppose -5*g + 34 = -16. Calculate the remainder when 38 is divided by g.
8
Let v(h) = -6 - 3 + 1 + 7*h. Let f(m) = -3*m - 1. Calculate the remainder when v(7) is divided by f(-5).
13
Suppose 39 = 7*p + 11. Calculate the remainder when 9 is divided by p.
1
Suppose -5*t = 3*z - 15 - 2, 3*z - 4*t - 8 = 0. Suppose 2*n + 43 = 3*m, -m = -z*n + 5*n - 11. What is the remainder when 25 is divided by m?
12
Let v(s) = s**3 - 2*s**2 - 7*s + 40. What is the remainder when v(5) is divided by 14?
10
Let q(j) = 4*j - 4. Let v(b) = b - 6. Let f be v(5). Let u be (-10)/(f + -1) - 2. What is the remainder when q(u) is divided by 3?
2
Let d(o) = -24*o**3 - 2*o**2 - o. Let h = 24 - 25. Suppose -4*y - 21 = -q, 32 = 2*q - 3*y - 0*y. Calculate the remainder when d(h) is divided by q.
10
Calculate the remainder when 7 + (-2 - -4) + -1 is divided by 3.
2
Let j = 18 + -10. Suppose 4*u - 4*v = 24 + 20, 5*u + 4*v - 64 = 0. What is the remainder when u is divided by j?
4
Let t = -143 - -202. What is the remainder when t is divided by 20?
19
Let s(a) = a**3 + 8*a**2 + a + 2. Let i be s(-8). Calculate the remainder when (-1)/(i/(-88))*-3 is divided by (-2 - -3)/((-2)/(-30)).
14
Let i = 236 - 143. Suppose -l = -3*u + 51, 0 = 5*u + 4*l - 9 - i. Calculate the remainder when 35 is divided by u.
17
Suppose -3*q + 8*q - 30 = 0. Calculate the remainder when 27 is divided by q.
3
Let u(g) = -7*g**3 + 22*g**2 - 6*g + 12. Let j(x) = -x**3 + x**2 - x - 1. Let f(w) = -6*j(w) + u(w). What is the remainder when 33 is divided by f(16)?
15
Suppose 5*n - 79 = -4*h, 4*h + 8 = n - 3. Suppose -f + n = 4*f. Calculate the remainder when 9 is divided by f.
0
Let b(m) = -8*m - 16. Calculate the remainder when 125 is divided by b(-6).
29
Suppose 0 = -0*q - 4*q + 500. Suppose 3*f = -14 + q. What is the remainder when f is divided by 20?
17
Let v(j) = j**2 - 11*j + 12. Let w be v(10). Suppose w*s = 5*s - 21. Calculate the remainder when s is divided by 3.
1
What is the remainder when 6 is divided by (3 + 0)*7/(28/8)?
0
Suppose 5*q = -0*q + 75. Suppose 2*i + q = 7*i. What is the remainder when 25 is divided by (i/2)/((-2)/(-12))?
7
Let c(l) = -3*l - 55. What is the remainder when c(-20) is divided by 3?
2
Suppose 0 = -0*t + 5*t - 640. What is the remainder when t is divided by 43?
42
Suppose -2*k + 17 = -k. Let q(b) = -6*b**3 - 2*b**2 + 2. Calculate the remainder when k is divided by q(-1).
5
Let o(w) = 2 + w + w**2 - 3*w + 0*w**2. Let d(b) = b**3 - 6*b**2 + 5*b + 6. Calculate the remainder when d(5) is divided by o(2).
0
Suppose 2*f - 4*u = -0*f + 40, -4*f = -4*u - 100. What is the remainder when f is divided by (12/(-15))/(3/(-30))?
6
Let d(z) = 2*z + 5. Let j(b) = 6*b + 16. Let u(s) = 8*d(s) - 3*j(s). Let p be u(-6). Suppose -159 + 55 = -p*k. What is the remainder when k is divided by 7?
5
Suppose -4*t - y + 9 = 0, -3*t = -8*t - 2*y + 9. Suppose d + 2 = t*d. Calculate the remainder when 7 is divided by ((3 - 1) + 1)*d.
1
Suppose -3*k + 151 = -5*n, 4*k - n - 232 = -8. Suppose -p - k = -4*p. What is the remainder when 72 is divided by p?
15
Suppose 3*s - s - 54 = 0. Calculate the remainder when s is divided by 14.
13
Suppose -27 = -2*j - 1. Let k = -6 + j. Suppose 5*t + g = -g + 86, t - 2*g - 22 = 0. Calculate the remainder when t is divided by k.
4
Suppose s + 1 - 7 = 2*m, 5*s + 2*m - 6 = 0. Calculate the remainder when 21 is divided by s.
1
Suppose 176 = -0*r + 8*r. Calculate the remainder when 43 is divided by r.
21
Let c = -24 - -34. Suppose 26 = 2*g + c. What is the remainder when g is divided by 5?
3
Suppose -2*u - 2*u + 24 = 0. Let j(x) = -x - 1. Let t(d) = d**2 - 2*d + 5. Let c(q) = 3*j(q) + t(q). Calculate the remainder when c(u) is divided by 5.
3
Let h = 1 + -4. Let a(v) = -2*v - 4. Calculate the remainder when 2 is divided by a(h).
0
Suppose -26 = -2*r + 6. Calculate the remainder when 75 is divided by r.
11
Let z(w) = w**3 - 5*w**2 - 4*w. Let h = 69 + -62. What is the remainder when z(6) is divided by h?
5
Suppose 11 = -5*g + 4*p, -5*p = -5*g - 6 - 4. Let u = 26 - 27. Calculate the remainder when 2 is divided by (-3 - -2) + g/u.
0
Let m = 32 - 10. Calculate the remainder when m is divided by 13.
9
Suppose -4*p - 8 = -5*t, 2*p + 0 - 2 = t. Let z = -1 + p. Suppose 2*f - 188 = -z*f. What is the remainder when f is divided by 16?
15
Suppose 4*h + h = -5*x, 5*h - 16 = 3*x. Let b be 0/(h/(-3)*3). Calculate the remainder when 2 is divided by (b - 0)/1 + 1.
0
Suppose -4*m - x + 65 = 0, -42 = -2*m - 4*x + 8. Suppose 10 + 20 = -5*d. Let b(t) = -t**2 - 12*t + 7. What is the remainder when b(d) is divided by m?
13
Suppose 0 = 4*j + 4*l - 18 + 2, -l + 3 = 2*j. Let r = j - -5. Suppose 0 = r*q + q - 55. What is the remainder when 21 is divided by q?
10
Let c(q) = q**2 - q - 189. Let h be c(0). Suppose 6*z - 11 = 7. Calculate the remainder when 25 is divided by (1/z)/((-7)/h).
7
Let t = 3 + -3. Suppose -9 = -3*f + 2*s, t*f + s = -3*f + 18. What is the remainder when 9 is divided by f?
4
Suppose 5*l - 533 = -3*p + p, l + 4*p - 121 = 0. Calculate the remainder when l is divided by 18.
15
Let n = 153 - 87. Let i = n - 11. Calculate the remainder when i is divided by 14.
13
Suppose -5*b + 80 = 4*o + o, 5*o + b = 92. Suppose 0 = -c + 3*c - 22. Calculate the remainder when o is divided by c.
8
Let g be (1/(-2))/(7/(-126)). Suppose i = -4*b + 143, -5*i + 91 = 3*b - i. Calculate the remainder when b is divided by g*(2 - 0) - -1.
18
Calculate the remainder when 3 is divided by (-9)/(-11) + 28/154.
0
Suppose g - 2*g + 2*x = 1, 5*g - 5*x = 5. Let y = g - -5. Calculate the remainder when 22 is divided by y.
6
Suppose 3*b - 7*b = 5*l - 221, 4*b + 4*l - 216 = 0. What is the remainder when b is divided by 17?
15
Let k(z) be the second derivative of -7*z**3/3 - 3*z**2/2 + z. Let t be k(-3). Suppose 17 = 4*p - t. Calculate the remainder when 41 is divided by p.
13
Let v(y) be the second derivative of y**4/12 - 4*y**3/3 + 4*y**2 + 3*y. What is the remainder when v(7) is divided by 1?
0
Suppose -8*p - 4*p = -36. Suppose 3*g - g = -2*o + 10, -5*o + 13 = -g. What is the remainder when p is divided by o?
0
Let d(a) = 2*a**2 + 2*a - 1. Let l be d(-2). Let t = 5 - l. Suppose 3*p = 2*q + 27, 0 = -p - 0*q - t*q + 9. What is the remainder when p is divided by 5?
4
Let x = 11 - 9. Suppose 3 + 9 = 2*t. Calculate the remainder when t is divided by x.
0
Suppose -2*s - 198 = -4*c, 4*c + 3*s = 292 - 89. Calculate the remainder when c is divided by 3.
2
Suppose -4*t - 5*d = -284, -5*t + 248 = -3*d - 10