 51 is divided by s.
12
Let a(r) = r**3 - 6*r**2 + 7*r + 8. Calculate the remainder when 12 is divided by a(4).
0
Let i(r) = 3*r - 10. Let u be i(4). Suppose -2*o + 32 = 4*w, 0 = -u*w + 3 + 3. What is the remainder when 17 is divided by o?
7
Let x(o) = 2*o**3 - 7*o**2 + 4*o + 5. What is the remainder when x(4) is divided by 10?
7
Suppose 5*z = -15, -2*s - 4*z = 3*s - 208. Let d = 7 - -8. Calculate the remainder when s is divided by d.
14
Suppose 0*u = 3*y + 2*u + 1, -2*y - u + 1 = 0. Calculate the remainder when (-2 - -1) + 12 + y is divided by 8.
6
Suppose y - 49 = -3*m - y, -3*m + 4*y = -37. What is the remainder when (m - (3 + -2)) + 0 is divided by 4?
2
Suppose -5*g + 2*a = -90, -2*g + a = -3*g + 25. Calculate the remainder when g is divided by 7.
6
Let f be (105/25)/((-2)/(-10)). Let o = 7 + -15. Let k = o + f. What is the remainder when 25 is divided by k?
12
Let x(n) be the second derivative of 2*n**3/3 - n**2 - 5*n. Calculate the remainder when 29 is divided by x(3).
9
Suppose 4*y - 6 = 2. Suppose 4*p - 164 + 40 = 0. Suppose -h - p = -2*u, 2*u - y*h + 55 = 7*u. Calculate the remainder when 25 is divided by u.
12
Let r = -16 - -31. Suppose 5*n = -4*x + 223, -17*n + 162 = -13*n - 5*x. Calculate the remainder when n is divided by r.
13
Let q = -28 + 50. Let t = q - 19. Calculate the remainder when 15 is divided by t.
0
Suppose -2*f - f + 9 = 0. Calculate the remainder when 10 is divided by (4/3)/(1/f).
2
Let a(p) be the third derivative of -7*p**4/8 + p**3/6 - 2*p**2. Let k = -10 + 22. Calculate the remainder when a(-1) is divided by k.
10
Let o(g) = -g**3 + 6*g**2 + 8*g - 6. Let u be o(6). Suppose 9 + u = 3*z. Calculate the remainder when z is divided by 9.
8
Let u(j) = j**2 + 12*j - 14. What is the remainder when 24 is divided by u(-14)?
10
Let t = 3 - 9. Let a(h) = h**2 + 3*h - 4. Calculate the remainder when 27 is divided by a(t).
13
Let f = 53 + -33. Suppose u - 4 - 4 = -j, -4*u + 8 = -4*j. Suppose f = u*g + 5. What is the remainder when 10 is divided by g?
1
Suppose y = 0, -3*a - 3*y + 9 = y. Suppose k = a*k. Suppose k = 5*i + 3*r - 49, i = 4*r - 0 - 4. What is the remainder when 29 is divided by i?
5
Calculate the remainder when 87 is divided by ((-88)/32)/((-3)/(-4) + -1).
10
Suppose 200 = -7*o + 12*o. Calculate the remainder when 117 is divided by o.
37
Let x(s) = -s**2 - s - 1. Let g(a) = -a**3 - 4*a**2 - 2*a - 7. Let k(r) = -g(r) + 5*x(r). Calculate the remainder when 42 is divided by k(3).
9
What is the remainder when (-2 + 6 - 2)*(-214)/(-4) is divided by 22?
19
Let y(z) = z. Let v be (2 + 1/(-1))*2. Suppose 3*x = -v*x + 85. What is the remainder when x is divided by y(9)?
8
Let s(o) be the third derivative of o**6/120 + o**5/10 - o**4/6 - o**3/2 - 2*o**2. Let a be (5/(15/18))/(-1). What is the remainder when s(a) is divided by 11?
10
Suppose 2*v + 131 = 3*y, -y + 168 = 3*y - v. Let i = y - 2. Calculate the remainder when i is divided by 14.
11
Suppose 2 = 4*h + 6. Let i = h - -33. Calculate the remainder when i is divided by 1 - (2 - (0 - -18)).
15
Let o(a) be the second derivative of a**4/4 - a**3/6 + a**2/2 - a. Suppose 6*f + 8 = 8*f. What is the remainder when o(2) is divided by f?
3
Let h be 3/15*-2*-35. Suppose 3*w + 5*t - h = -0*w, -3*w = 4*t - 16. What is the remainder when 15 is divided by w?
7
Let x(v) = v**2 - 8*v + 10. Let m be x(7). Suppose 26 = m*n - 55. What is the remainder when 80 is divided by n?
26
What is the remainder when (-3)/18 + (-813)/(-18) is divided by (-2)/(-8) - 91/(-4)?
22
Suppose 0 = -3*l + 3*p + 15, 2*p = 3*l - 0*p - 20. What is the remainder when l is divided by 4?
2
Suppose -i - 3*i + 14 = 3*o, 3*o - 26 = -i. Let r(n) = -n**2 - 6*n + 6. Let p be r(-6). Let j = p - 2. What is the remainder when o is divided by j?
2
Let w be -2 - -9*(-4)/(-6). Suppose w*n = 6*n - 16. Calculate the remainder when (-1)/((-2)/(24 + 2)) is divided by n.
5
Suppose 36 = 4*c - 28. What is the remainder when 45 is divided by c?
13
Suppose -f - 10 = -3*f, -2*x + f + 41 = 0. What is the remainder when x is divided by -1 - (34 - -2)/(-4)?
7
Suppose 0 = -11*m + 48 + 73. What is the remainder when 63 is divided by m?
8
Let f(n) = 3*n**2 - n - 1. Let p be f(-1). Suppose p*l - 190 = -5*v + 2*l, -3*v + 131 = 4*l. Calculate the remainder when v is divided by 19.
18
Let g be 8/((-4)/2) + 3. What is the remainder when 13 is divided by g - 3/(3/(-8))?
6
Suppose -3*l - 5 = -g - 2*l, 3*g = -2*l + 15. Calculate the remainder when 13 is divided by g.
3
Let l(x) = x**2 - 4. Let m be l(3). Suppose 5*h = -m*c - 115, 2*c - 2*h = -3*h - 51. Calculate the remainder when 7 is divided by c/(-6) + (-2)/3.
3
Let r = -1293 + 1310. Let l(x) = x**3 + 7*x**2 - 4. Calculate the remainder when l(-3) is divided by r.
15
Suppose -4*y = 16, -t = -0*y - y - 39. Calculate the remainder when t is divided by (-18)/(0 + -1) - 0.
17
Let d = 84 - 46. Suppose -5*p + 297 + 33 = 0. Let m = p - d. Calculate the remainder when m is divided by 15.
13
Let f = 97 + -8. Let g = f - 34. Calculate the remainder when g is divided by 19.
17
Let r(s) = 28*s + 15. Let v(u) = 9*u + 5. Let o(l) = -2*r(l) + 7*v(l). What is the remainder when o(4) is divided by 17?
16
Let t = 1 - -24. Suppose -416 + 20 = -4*w. What is the remainder when w is divided by t?
24
Suppose 5*b = 2 + 33. Suppose -2*f - 3 = 3*s + 2, 0 = -3*s + 4*f + 1. Calculate the remainder when 1*s - 20*-1 is divided by b.
5
Suppose 2*q - 60 = -2*v, 4*q = 2*v - 4*v + 118. Let p = q + -18. Calculate the remainder when 32 is divided by p.
10
Suppose 0 = p + 2*r - 57, 2*p + 4*r - 61 = p. Calculate the remainder when p is divided by 18.
17
Let l = 14 - 7. Calculate the remainder when 69 is divided by l.
6
Let w = 1 + 4. Suppose 26 = -3*o - 5*q, 5*o + 2*q = w*q - 66. Let l = -8 - o. Calculate the remainder when 7 is divided by l.
3
Let g be (-22)/(-6) - (-2)/(-3). Let u = g - 4. Calculate the remainder when 364/(-21)*(-4 - u) is divided by 18.
16
Suppose 0 = -k + 4*d - 2*d + 72, 5*k - 332 = 3*d. Let g = k - 38. What is the remainder when g is divided by 14?
12
Let y be ((-48)/40)/((-4)/30). Suppose 0 = -2*q + y + 7. What is the remainder when ((-2)/2)/(-1) - -30 is divided by q?
7
Suppose 0 = -8*q + 3*q + 50. Let d = 19 + -19. Suppose c + d*l = 5*l + 16, -26 = -3*c + 4*l. Calculate the remainder when q is divided by c.
4
Suppose -5*z - 10 = -35. Let t(w) = 8*w**2 + 1. What is the remainder when t(-1) is divided by z?
4
Suppose 3*s - 18 = s. Calculate the remainder when (12/s)/(-4)*-39 is divided by 5.
3
Let l(j) = j**3 + 3*j**2 - 4*j - 4. Let h be l(-4). Let y = -4 - h. Suppose 3*a - 5*k = -y*k + 23, 2 = -2*k. What is the remainder when 23 is divided by a?
5
Let m(i) = -2 + 3*i**2 - 1 - 6*i - 4*i**2. Let f = -10 + 5. Calculate the remainder when 2 is divided by m(f).
0
Let k be 2/(((-16)/3)/8). Let t(i) = -i**2 - 2 - i + i**2 + 2*i**2. What is the remainder when 55 is divided by t(k)?
17
Let v = 30 + -23. Calculate the remainder when 32 is divided by v.
4
Let n be 2*2/2 - -7. Suppose -w - 4*d + 9 = -0*d, -w + 4*d = -n. Calculate the remainder when 15 is divided by w.
6
Suppose 0 = 14*b - 44 - 40. What is the remainder when 9 is divided by b?
3
Let c(x) = -x**3 - 6*x**2 + 22*x. Let n = 29 - 13. What is the remainder when c(-9) is divided by n?
13
Let a = -27 - -14. Let x = a - -20. Let l(i) = 7*i - 2. Calculate the remainder when l(3) is divided by x.
5
Suppose -4*d = -2*u - 208, 0 = -2*d - 2*d + u + 204. Calculate the remainder when d is divided by 13.
11
Suppose 0 = -3*g - 3*q + 7 + 14, 25 = 5*q. Let v = g + -5. What is the remainder when 2/v - (-130)/6 is divided by 6?
3
Suppose 4*b = l + 4 + 21, 0 = 2*l - 3*b + 45. Let w = l - -34. Suppose o - 5*q - 23 = 0, 0 = -0*o + 2*o + q - w. What is the remainder when o is divided by 3?
2
Let t = -38 - -43. Suppose 0 = 3*c - 0*c. Suppose c*r + 2*r = 4. Calculate the remainder when t is divided by r.
1
Let q(r) = -r**3 + 10*r**2 - 4*r - 2. Let o be q(8). Suppose 78 = 4*s - o. Calculate the remainder when s is divided by 15.
13
Let d = -13 + 24. Calculate the remainder when d is divided by 2*(0 + 2)/1.
3
Let y = 52 - 24. Calculate the remainder when y is divided by 18.
10
Suppose -1 = -p, 2*p + 80 = 3*n - 2*p. What is the remainder when 53 is divided by n?
25
Let g = 3 - 3. Su