/12 - l**3/3 - 2*l**2. What is the remainder when f(1) is divided by 15?
12
Suppose b - 31 = -2. Let g = b + -15. Calculate the remainder when 68 is divided by g.
12
Suppose -2*g - 5 = 3. Calculate the remainder when (g - -3)*(-14 - 1) is divided by 8.
7
Let u(s) = s**2 + 4*s + 3. What is the remainder when u(4) is divided by (-6)/(-10) + (-114)/(-10)?
11
What is the remainder when 4 is divided by (-16)/(-88) - (-84)/22?
0
Let x(g) = -g**3 + 7*g**2 - 4*g + 6. Let f(y) = -y**3 + y**2 + 2*y + 3. What is the remainder when f(-3) is divided by x(6)?
15
Let t(g) = -g**3 - 13*g**2 - 2*g + 3. What is the remainder when 171 is divided by t(-13)?
26
Suppose 0 = 4*k - 25 - 7. Let c be 1/(76/75 - 1). Suppose -4*h - 3*m + 75 = 15, 2*m = 5*h - c. Calculate the remainder when h is divided by k.
7
Let x(q) = 3*q - 2. Let s be x(-2). Let w be s/12 - 64/(-6). What is the remainder when 23 is divided by (14/5 - 2)*w?
7
Suppose 2*d + 2*d + 4 = 0, 3*o - 107 = 2*d. Calculate the remainder when o is divided by 5.
0
Let g = 10 - -5. Calculate the remainder when 26 is divided by g.
11
Suppose -5 = -6*s + 19. Suppose 0 = -f, -5*u + 354 = -s*f + 9. Calculate the remainder when u is divided by 24.
21
Let b(v) = -v**3 - 13*v**2 - 11*v + 14. Suppose 8*g = 4*g - 20, 0 = -t + 2*g - 2. Calculate the remainder when 3 is divided by b(t).
1
Let k(x) = x**3 + 9*x**2 - x + 4. Let j be k(-9). Suppose -2*m = 2*p - 9 - j, 0 = -3*m - 4*p + 33. What is the remainder when m is divided by 4?
3
Let q be 2/(4 + 30/(-8)). Suppose 7*f - 3*f = q, 5*d - f = 193. Calculate the remainder when d is divided by 14.
11
Let k(o) = 11*o + 2. Calculate the remainder when 23 - ((-4)/(-2))/(-2) is divided by k(1).
11
Let o = 26 - 18. Let p be (o/(-3))/((-12)/18). Suppose -k + p = -0*k. Calculate the remainder when 7 is divided by k.
3
Suppose -2*r + k - 2*k = -13, -4*k = 3*r - 32. What is the remainder when r is divided by 2?
0
Let m(t) = t**2 + 2*t + 3. Suppose 10 = 4*d + 2*u, 0 = -3*d - 3*u - 4 + 13. What is the remainder when m(-1) is divided by d?
0
Let g = -1 + 2. Suppose -a - 31 = 5*p, -4*a - 6 + 2 = 0. What is the remainder when -2 - p*3/6 is divided by g?
0
Let j be 30/9*3/2. Suppose 0 = -5*y, -5*y - 1 = -j*v + 9. Suppose -4*r - 3*p - 4 = -3*r, -v*p = 6. Calculate the remainder when 13 is divided by r.
3
Suppose -5 = -c - 0*c. Suppose 4*x + 7*p = 3*p + 40, 2*x + c*p - 26 = 0. Calculate the remainder when 14 is divided by x.
6
Suppose -a - 2*b + 6 = 1, a - 9 = -4*b. Suppose 0 = i + a - 10. What is the remainder when 16 is divided by i?
7
Let k(x) = x**2 - x - 5. What is the remainder when 18 is divided by k(-3)?
4
Let h be 0/(-1) - 2 - -5. Let s be 1/1 - 2 - 26. Calculate the remainder when h + (2 - 3) - s is divided by 10.
9
Let q(v) = -v**2 - 1 + 7*v - 3 + 0*v + v. Calculate the remainder when 31 is divided by q(5).
9
Let k = 26 - 1. What is the remainder when k is divided by 7?
4
Calculate the remainder when 61 is divided by -4 - 1*144/(-4).
29
Let g(k) = -18*k - 12. Calculate the remainder when g(-3) is divided by 4.
2
Let m = -28 - -58. Let h be (-73)/((-2)/(-4)*-2). Let x = h - m. Calculate the remainder when x is divided by 15.
13
Suppose 5*z = 3*z + 20. Calculate the remainder when 26 is divided by z.
6
Let k be -2 - ((-3 - -4) + -4). Suppose -5*n + 2*n - 6 = -3*p, 0 = -3*n + 2*p - k. Calculate the remainder when 3 is divided by n.
0
Suppose -3*b = 2*b - 15. Calculate the remainder when b is divided by 3.
0
Let u(d) = -d**3 - 3*d**2 + 2*d + 2. Let m be u(2). Calculate the remainder when 52/14 + (-4)/m is divided by 3.
1
Suppose -18 = d - 5*j, 3*d + 5*j = 23 + 3. Let g(l) = -2*l - 32. What is the remainder when g(-19) is divided by d?
0
Let k = -2 - -2. Suppose 2*n + k*n + 5*j = 66, -146 = -4*n - 3*j. What is the remainder when n is divided by 13?
12
Suppose p + 2 = 2*p. Suppose p*w - 10 - 2 = 0. Calculate the remainder when 21 is divided by w.
3
Let d(k) = -k**3 + 10*k**2 - 6*k + 8. Let t be d(8). Let u = t - 58. What is the remainder when u is divided by 16?
14
Suppose 3 = p, 4*o + 4*p = 39 + 9. Let m = 68 + -42. Let g = m - 0. Calculate the remainder when g is divided by o.
8
Let t(g) be the third derivative of -g**4/12 - g**3/2 + g**2. Let p be t(8). Let l = -3 - p. Calculate the remainder when l is divided by 6.
4
Suppose 2*x + 15 = 5*x. Let c = -6 + 14. Calculate the remainder when c is divided by x.
3
Suppose -4*r - 7 = 13. Calculate the remainder when r/(3 + (-21)/6) is divided by 5.
0
Let q = 143 - 100. Calculate the remainder when q is divided by 16.
11
Suppose 5*y = -a + 127, 5*y + 5*a + 71 - 206 = 0. Suppose 4*f = -f + y. Suppose -f*z + z = -40. What is the remainder when z is divided by 6?
4
Suppose 7*r = 2*r + 285. What is the remainder when r is divided by 15?
12
Let x = 7 + -4. Suppose 2*c - 58 = -4*b + x*c, 5*b + 5*c - 60 = 0. What is the remainder when 41 is divided by b?
13
Let v = 2 + -5. Let q = 10 + v. Calculate the remainder when 13 is divided by q.
6
Suppose 3*x + x = 12. Suppose 5*h - 9 = -2*r, 2*h - 4*r - 21 = -x. Suppose 0 = 3*z - 3, 3*z + 68 + 43 = h*n. Calculate the remainder when n is divided by 20.
18
Suppose 5*g + 2*r - 3*r - 15 = 0, 4*r = -3*g - 14. Suppose -86 + 2 = -g*w. Calculate the remainder when w is divided by 11.
9
Let m(x) = x**2 + x - 21. Let u be m(0). Let v = u + 39. Calculate the remainder when 35 is divided by v.
17
Let h = 18 + -12. Calculate the remainder when h is divided by ((-2)/8)/((-6)/240*5).
0
Let d = -129 - -227. Calculate the remainder when d is divided by 25.
23
Let m = 38 - 22. Let r = 10 - 4. What is the remainder when m is divided by r?
4
Let u = -53 + 126. What is the remainder when u is divided by 25?
23
Let f(s) = s**2 - 2*s + 3. Let r be f(0). Let y(a) = -2*a**3 - a**2 + 2*a + 1. Let w be y(-2). Calculate the remainder when 5 is divided by 7/r + 6/w.
2
Let a = -17 + 29. Suppose t = 4*t - 30. What is the remainder when t is divided by 2 + (a/1)/3?
4
Suppose 0 = -q + 3*q - 2. Calculate the remainder when -2 - -2 - -3 - q is divided by 2.
0
Let g(x) = 1. Let k(r) = 2*r - 2. Let h(i) = -5*g(i) - k(i). What is the remainder when 32 is divided by h(-7)?
10
Let j(x) = -4*x - 37. Let u(y) = y + 9. Let o(l) = 6*j(l) + 26*u(l). Calculate the remainder when o(12) is divided by 19.
17
Suppose 0 = 8*z - 5*z. Suppose 5*f = -d + 5, 3*f + z*d - 26 = 4*d. Suppose -u = -f*u - r + 8, -5*r + 31 = 4*u. Calculate the remainder when 17 is divided by u.
8
Let c(j) be the third derivative of j**4/24 + 5*j**3/3 - j**2. Let m be c(-10). Suppose -65 = -5*x - m*x. Calculate the remainder when x is divided by 5.
3
Suppose -10 = -5*a + 5*q, -1 = 3*a + 4*q - 28. What is the remainder when 31 is divided by a?
1
Suppose -5*r = 3 + 12. Calculate the remainder when (-18)/(-6)*(-4)/r is divided by 2.
0
Let v(d) = -d**3 + 10*d**2 - 7*d - 11. Let y(q) = q**3 - q + 9. Let c be y(0). Calculate the remainder when 13 is divided by v(c).
6
Let m(o) = -30*o**2 - o - 4. Let l(v) = -30*v**2 - 2*v - 5. Let y(b) = 3*l(b) - 4*m(b). What is the remainder when y(1) is divided by 16?
13
Suppose 4*j = -k + 5 + 17, 3*j - k - 13 = 0. Let c = 7 - j. Suppose 0*t - 32 = -c*t. What is the remainder when t is divided by 9?
7
Suppose 9*b - 14*b = -5. Calculate the remainder when 7 is divided by (1 + b)*(7 - 5).
3
Let r(f) = -5*f**3 - 19*f**2 - 36*f - 45. Let i(o) = -o**3 - 4*o**2 - 7*o - 9. Let c(w) = 11*i(w) - 2*r(w). What is the remainder when c(-6) is divided by 6?
3
What is the remainder when (-6 - 4) + 123 - (0 + 2) is divided by 24?
15
Let z(s) = s**3 + 7*s**2 + 6*s + 6. Calculate the remainder when 17 is divided by z(-6).
5
Let y = 35 - 12. Suppose 0 - 18 = -3*d. What is the remainder when y is divided by d?
5
Suppose -2*n + 38 = -0*n. Suppose 5*t + n - 74 = 0. What is the remainder when 1*(-3)/((-6)/62) is divided by t?
9
Suppose 0 = 5*x - p - 21, 1 + 4 = x - p. Suppose -x = 5*a + 6, 0 = 3*u + 2*a - 62. What is the remainder when u is divided by 8?
6
Let b(l) = l**2 + 4*l + 12. What is the remainder when 46 is divided by b(-6)?
22
Suppose -6 = -z - 2*z. Let t = 15 - 11. Suppose -t*f - 2*u = -56 + 6, -3*f = z*u - 39. Calculate the remainder when 32 is divided by f.
10
Let k = 4 - 5. Let w be (-2 - (k - 2)) + 4. Suppose -46 = -w*r + 3*z - 6*z, 2*z + 50 = 4*r. Calculate the r