 Calculate the remainder when z(3) is divided by s.
3
Suppose 22 = -0*w + 2*w. What is the remainder when 29 is divided by w?
7
Suppose 0 = -4*q - 10 + 2, 3*c - 50 = -2*q. What is the remainder when 52 is divided by c?
16
Suppose 2*a = j + 22, -1 = -a - j - j. Let k = -18 - -20. What is the remainder when (6 - k)/(-4) + 18 is divided by a?
8
Suppose 5*h - 160 = -4*s, 0 = -7*s + 2*s + 3*h + 163. Suppose 0*d + 2 = 3*d - 2*o, 5*d = -3*o + s. Calculate the remainder when d is divided by 3.
1
Let s = -20 - -33. Calculate the remainder when s is divided by 8.
5
Let i(n) = -n**3 + 6*n**2 - 5*n. Let l be i(5). Suppose -3*k - 105 + 30 = l. Let z = -15 - k. Calculate the remainder when z is divided by 4.
2
Suppose -2 - 30 = -4*p. What is the remainder when 21 is divided by p?
5
Suppose -2 = -k, 3*a - 5*k - 123 = -2*k. Calculate the remainder when a is divided by 22.
21
Suppose 0 = -5*i + 10*i - 25. Suppose 5*o - 40 + 2 = 2*p, -i*o + 10 = 5*p. Suppose x - o = -0. What is the remainder when 17 is divided by x?
5
Let r(m) = -7*m - 7. Let l be r(-5). What is the remainder when 41 is divided by (-3)/4*l/(-1)?
20
Let i = -17 - -38. Suppose -2*z - 3*f + 165 + 5 = 0, -4*f = -2*z + 156. What is the remainder when z is divided by i?
19
Let m(h) = h**2 + h + 46. What is the remainder when m(0) is divided by 12?
10
Suppose 2*c = 5*i - 0*c - 6, -5*c - 15 = -4*i. Let r = i + 0. Suppose r = h + 4*h - 40. Calculate the remainder when 15 is divided by h.
7
Let q = 55 + -40. Calculate the remainder when 103 is divided by q.
13
Suppose -2*t + 72 = -32. Calculate the remainder when t is divided by 18.
16
Suppose -2*u + 4*v = 3*u - 49, 4*u = -5*v + 31. Suppose 0*k + 27 = 2*k + 5*s, -2*s = -3*k + 50. Calculate the remainder when k is divided by u.
7
Suppose 3*v = v + 24. Calculate the remainder when 41 is divided by v.
5
Suppose 0 = -k + 83 + 28. Suppose k = -5*h + 556. Suppose 3*n + h = 2*l, l - n = -6*n + 64. Calculate the remainder when l is divided by 17.
15
Let h(c) = 1 + 0*c**2 - c**2 + 0*c**2 - c. Let n be h(1). What is the remainder when 9 is divided by (n + 0)*1*-5?
4
Suppose -v + 43 = 2*l, -278 = -4*v + l - 70. Calculate the remainder when 99 is divided by v.
48
Let m = -2 + 16. Let f(d) = d**2 - 2*d - 1. Let y be f(3). Suppose -5*l = 5*a - 130, -y*l - 86 = -5*l + 5*a. Calculate the remainder when l is divided by m.
13
Suppose 0 = -5*z + 3*z. Suppose z = 4*i - 0*i - 300. What is the remainder when i is divided by 26?
23
Let l = -64 + 21. Let k = l - -102. Suppose -3*f = -0*z + 2*z - k, z = 4. Calculate the remainder when 49 is divided by f.
15
Suppose 0 = r - 80 + 4. What is the remainder when r is divided by 6?
4
Let d be 27/(6 - 3)*-1. Let p = -1 - d. What is the remainder when p is divided by ((-3)/2)/((-2)/4)?
2
Suppose -2*u + 2*g - 6 = -0, 4*u - 5*g = -15. Suppose 0 = 2*l - i - 16, u = 3*l - i - 2*i - 21. What is the remainder when l is divided by 4?
1
Suppose -4 = -k - 0. Suppose -14 = l - 4*c, 6*c = 2*l + 3*c + 8. Suppose 3*o = k*d - 9 - 20, l*o = d - 11. Calculate the remainder when 13 is divided by d.
3
Let b = 6 - 2. Suppose -2*p + p + b = 0. Calculate the remainder when p is divided by 3.
1
Let o = 45 + -41. Suppose 0 = -3*v + 9. What is the remainder when o is divided by v?
1
Let k(x) = x + 15. Suppose -4*l - 87 = -6*l + 5*g, -3*l = 3*g - 120. Suppose -l - 3 = -2*n. What is the remainder when n is divided by k(-3)?
10
Suppose 0 = -4*h + 6 + 2. Suppose -5*p = 2*i + h*i - 158, -76 = -2*i - 4*p. Suppose 0 = -5*u + 2*u + i. Calculate the remainder when 55 is divided by u.
13
Let s = -2 + 2. Let q = 50 - 28. Suppose s*m + 2*m = q. Calculate the remainder when m is divided by 6.
5
Let v be 16/(-24) + 7/(-3). Let f(x) = -33*x - 1. What is the remainder when f(v) is divided by 25?
23
Calculate the remainder when 4 is divided by 6*(7/2)/7.
1
Suppose w - 4 + 0 = 0. Suppose 0 = 2*s - w - 6. Calculate the remainder when 14 is divided by s.
4
Let l = -8 + 10. Let a = 5 + -4. What is the remainder when l is divided by a?
0
Let y(a) = -a**3 - 10*a**2 - 7*a + 19. Calculate the remainder when 1 is divided by y(-9).
0
Let y be ((-80)/25)/((-1)/5). Let r = 38 - y. Calculate the remainder when r is divided by 76/6 + (-4)/6.
10
Suppose 0 = -4*p + 2*b + 50, 57 = 4*p + 5*b. Calculate the remainder when 35 is divided by p.
9
Calculate the remainder when (-1 + -18)/(2/(-2)) is divided by 10.
9
Let w(k) = k**3 - 9*k**2 + 11*k + 5. Suppose 0 = -2*d - 5*m + 10, -m - m - 4 = 0. Let n be (-10)/4*(-32)/d. What is the remainder when w(n) is divided by 8?
5
Suppose -4*s + 904 = 32. Calculate the remainder when s is divided by 17.
14
Let h(f) = f**2 - 5*f + 1. Let c be h(5). Let i(u) = 18*u**3 + u**2 - u + 1. What is the remainder when (-27)/(((-6)/8)/1) is divided by i(c)?
17
Let d = -4 - -9. Suppose d*l - 2*l = 63. Suppose -2*b + 164 = 2*b. What is the remainder when b is divided by l?
20
Let g(i) = 29*i**2 - i - 1. Calculate the remainder when g(-1) is divided by (-4)/(-5 - -1) + 9.
9
Suppose 0 = -5*c + 333 + 82. Calculate the remainder when c is divided by 21.
20
Suppose 3*o - 12 = 5*o. Let s = o - -8. Calculate the remainder when 4 is divided by s.
0
Let o = 5 + -3. Let c = o - 0. Suppose -6*z + 4*p + 5 = -5*z, 2*p - 30 = -c*z. What is the remainder when 25 is divided by z?
12
Let y = 105 + -47. What is the remainder when y is divided by 31?
27
Let o be 31 - (-3)/(3/1). Suppose -2*u - o = -5*t, 4*t = u + 28 - 3. What is the remainder when 23 is divided by t?
5
Let f be (16/(-3))/((-3)/18). Suppose -4*a + f = 8. Suppose s - 13 = -2*r, -4*r - 6 - 3 = -5*s. Calculate the remainder when a is divided by r.
2
Suppose 0 = w + w - 44. Calculate the remainder when w is divided by (2 - 1*(-3)/(-3)) + 4.
2
Let v(l) = l**2 - 3*l - 19. What is the remainder when v(12) is divided by 15?
14
Let m(k) = -k**3 + 7*k**2 + 9*k - 6. Let z be m(8). Suppose -5*t - 60 = -y, -y + 0*t = z*t - 46. What is the remainder when y is divided by 17?
16
Suppose -48*i + 50*i - 178 = 0. What is the remainder when i is divided by 23?
20
Suppose -4*c + 6 + 2 = 0. Suppose -45 = -3*k - c*k. What is the remainder when 16 is divided by k?
7
Let v be (-1)/(17/9 - 2). Suppose -n = -4*n + v. Calculate the remainder when (-44)/55*5*-1 is divided by n.
1
Let h(n) = -15*n - 3. Let c = 5 - 11. Let a be h(c). Calculate the remainder when 52 is divided by (-18)/(-30) - a/(-5).
16
Let v(x) = -x**3 + 11*x**2 - 14*x + 5. Calculate the remainder when v(9) is divided by 21.
20
Let i(q) = -3*q + 2. Calculate the remainder when i(-12) is divided by 20.
18
Let w(f) = f**3 - 8*f**2 + 9*f + 3. Suppose -3*z - 47 = -5*r + 214, -z + 165 = 3*r. Let y = r + 13. Calculate the remainder when y is divided by w(7).
16
Suppose -69 = -2*k - 39. Calculate the remainder when 72 is divided by k.
12
Suppose 4*p - 26 = 2*t - 0*p, 3*t + 31 = -2*p. Let z = t + 23. Calculate the remainder when 46 is divided by z.
10
Let w = 98 + -63. Let x(f) = f**3 - f. Let v be x(-1). Suppose -2*k + 0*k + 24 = v. What is the remainder when w is divided by k?
11
Suppose -p - 2*p = -5*w - 26, 2*p - w = 15. Calculate the remainder when 47 is divided by p.
5
Let b(s) = 2*s - 7. Let k be b(5). Suppose 5*o + 2*l = 69, o - 9 = -3*l - k. Calculate the remainder when 29 is divided by o.
14
Suppose -4*v + 24 = 3*y, 2*y + 5*v - 3*v - 14 = 0. Let h(d) = d**3 + 2. Suppose -z = -2 - 0. Calculate the remainder when h(z) is divided by y.
2
Let f = 27 + -19. What is the remainder when 15 is divided by f?
7
Suppose -1 + 21 = 4*w. Calculate the remainder when 12 is divided by w.
2
Let i = 0 + 5. Suppose 3*v = 17 - i. Suppose -j + 15 = 5*x, x - j + v*j - 17 = 0. Calculate the remainder when x is divided by 2.
0
Let y be (-1)/(-3) - 1/3. Suppose y = -5*t - 2*w - 9 + 154, 4*w = 20. Calculate the remainder when t is divided by 10.
7
Let r(p) = p**2 + 3*p + 10. What is the remainder when r(-3) is divided by 4?
2
What is the remainder when -1 + 36/(1 - -2) is divided by 6?
5
Suppose 182 = 4*p - 2*p. What is the remainder when p is divided by 23?
22
Let y = 137 + -121. What is the remainder when y is divided by 10?
6
Suppose 3*p = -9 - 9. Let n(a) be the first derivative of -5*a**2/2 - 24. What is the remainder when n(p) is divided by 16?
14
Let h(j) be the third derivative of -j**4/24 + 3*j**3 