3). Suppose 0*h + x = 3*h + 4*z, -4*z - 44 = -2*h. Let y(p) = 52*p**2 + p. Calculate the remainder when y(1) is divided by h.
11
Let i be 0/(-1 - (-3 - 0)). Let j = 4 + i. Let o = -36 + 46. Calculate the remainder when o is divided by j.
2
Suppose 0 = 4*p + 20, -4*p + 168 = 2*d + 2*d. What is the remainder when d is divided by 12?
11
Suppose 0 = -4*c + 306 - 94. Suppose -2*z + c + 77 = 5*u, 4*u - 104 = 5*z. Calculate the remainder when u is divided by 14.
12
Suppose -5*u - 162 + 747 = 0. Suppose -2*l - l + u = 0. Calculate the remainder when l is divided by 14.
11
Let y = -22 + 24. Suppose y*u - g - 32 = 0, -44 = -2*u - 3*g + g. Calculate the remainder when 34 is divided by u.
16
Let z(y) = -y**2 - y + 11. Calculate the remainder when 31 is divided by z(0).
9
Let o(f) be the third derivative of 0 + 0*f + 3*f**2 - 1/6*f**4 + 1/6*f**3. Calculate the remainder when 24 is divided by o(-3).
11
Suppose 0 = -z - 2*q - 8, -4*z + 4*q = q - 23. Suppose -35 = -3*w + 2*f, -6*f = -z*f - 20. Calculate the remainder when 27 is divided by w.
12
Let j(z) = z**3 + 2*z**2 - z + 2. Let f be j(-3). Let l = 0 - f. Calculate the remainder when (5/10)/((-2)/(-28)) is divided by l.
3
Suppose -24 = -0*f + f - 5*u, 2*u = -f - 31. Let x = -13 - f. Let c(q) = 3*q**2 + 5*q - 3. Calculate the remainder when c(-5) is divided by x.
15
Suppose -4*w + 10 = 2. Suppose -2*d = z + 26, 5*z - w*z = 0. Let h = 8 - d. Calculate the remainder when 41 is divided by h.
20
Suppose 51 = 3*r + 5*a, -2*r + 4*a = 2*a - 50. Suppose -5*i = -169 - 156. What is the remainder when i is divided by r?
21
Let q(y) = 8*y**2 + 5*y**3 - 2*y**3 + 6 - 2*y**3. Let r be q(-7). Suppose -4*j + 5*w = -r, -4*j = 2*w - 23 - 11. Calculate the remainder when j is divided by 4.
2
Calculate the remainder when (22 - 12/6)*4 is divided by 22.
14
Suppose -i = -2, i - 4*i - 70 = -2*p. Suppose 2*f - 3*q - p = 2*q, -5*q = -3*f + 62. What is the remainder when f is divided by 13?
11
Suppose 0 = -2*i - 2, 310 + 332 = 5*k - 2*i. Suppose k = -c + 3*c. What is the remainder when c is divided by 22?
20
What is the remainder when 107 is divided by -2*(-1)/(-1) + 30?
23
Let v be (-10 - -1)*10/(-3). Let u be 3*(v/9 - 2). Suppose -u*t + b = 4*b - 68, 4*t = -5*b + 76. Calculate the remainder when 41 is divided by t.
13
Suppose -z - 5*m = -2*m - 20, -3*m + 76 = 5*z. What is the remainder when 79 is divided by z?
9
Let n = -9 - -14. Suppose -2*z + 5*s + 80 = n, -4*z - 2*s + 90 = 0. Let i = -33 + 47. What is the remainder when z is divided by i?
11
Let w(s) = 6*s - 4. Let j be w(5). Suppose -5*c + 2*g = -j - 43, c + 5*g - 3 = 0. What is the remainder when c is divided by 7?
6
Let d = 1 + 2. Suppose 0 = -s - d + 13. What is the remainder when (-1 + -86)*(-2)/6 is divided by s?
9
What is the remainder when 16 is divided by 4 - (-1 - -2) - -3?
4
Let l = -23 - -29. Calculate the remainder when 45 is divided by (l/(-1) - 2)*-2.
13
Let u(w) = -2*w + 3. What is the remainder when 50 is divided by u(-5)?
11
What is the remainder when 205 is divided by ((-39)/(-4))/(6/32)?
49
Suppose 3*w + 7 = 1, c + 5*w - 12 = 0. What is the remainder when 83 is divided by c?
17
Let y(v) = 4*v**2 + v - 8. What is the remainder when (-6)/(-4)*(-68)/(-6) is divided by y(2)?
7
Let y(i) = -i**2 - 8*i - 4. Calculate the remainder when 31 is divided by y(-6).
7
Suppose -2*o = -o - 45. Calculate the remainder when o is divided by 12.
9
Suppose -5*h = 24 - 4. Let w = -8 - -12. What is the remainder when 2/(-8) + (-25)/h is divided by w?
2
Let q = -30 + 37. Calculate the remainder when q is divided by 2.
1
Let o = -75 - -45. Let u = -4 - o. What is the remainder when 76 is divided by u?
24
Suppose -502 = -3*m - 5*o, 3*o - 10 = 5. What is the remainder when m is divided by 23?
21
Let b(m) = m**3 - 4*m**2 + 8*m - 5. Let j be b(5). Suppose u = 5*u - j. Let z = 52 - 23. Calculate the remainder when z is divided by u.
14
Suppose -6*p = -p. Suppose p*b = -b. Suppose 3*d = -1 + 7, -a + 2*d + 5 = b. What is the remainder when 17 is divided by a?
8
Let f(d) = d + 3. Let p be f(-3). Let r(t) = 29*t - 12. What is the remainder when r(2) is divided by -8*(p/2 - 2)?
14
Let p = -19 + 28. What is the remainder when p is divided by 4?
1
Suppose -4*w - 7 = -19. What is the remainder when 11 is divided by w?
2
Suppose s + 7 = 5, 4*h = -s + 258. What is the remainder when h is divided by 23?
19
Let k = -14 - -6. Let q be 2/k + 57/4. Suppose q = y - 0. What is the remainder when y is divided by 8?
6
Let r(n) = n**2 + 3*n + 2. Let d be r(-3). Suppose z = -2*k + 2*z + 89, -57 = -k - d*z. Suppose -13 = 2*x - 45. What is the remainder when k is divided by x?
15
Suppose 2*v = -6 - 0. Let n be (0 - -1) + v + 2. Suppose n = 4*u - 2*u - 14. Calculate the remainder when 19 is divided by u.
5
Suppose -y + 55 + 19 = 0. What is the remainder when y is divided by 23?
5
Suppose 0 = -j + 6 + 4. Let u(b) = -b**2 + 15*b - 15. What is the remainder when u(11) is divided by j?
9
Suppose 2 = -3*v - 40. Calculate the remainder when ((-40)/v)/((-6)/(-21)) is divided by 4.
2
Suppose 4*v = v + 36. Calculate the remainder when 23 is divided by v.
11
Calculate the remainder when ((-12)/18)/(4/(-714)) is divided by 30.
29
Let v(x) = x**2 - 1 + 26 + 0*x**2 + x. Suppose -5*r - 4*g + 20 = -4*r, -2*g = 5*r - 10. Calculate the remainder when v(r) is divided by 9.
7
Let x = 8 - 5. Suppose 2*w = -4*n + 54, -2*n + 24 = w + x*n. Calculate the remainder when w is divided by 10.
9
Let g(k) = k**2 + 2*k + 2. Let w = -8 - -33. Let z = w + -18. Calculate the remainder when g(4) is divided by z.
5
What is the remainder when 100 is divided by (3 - 2)*(-9 - -8)*-17?
15
Let s be (2 - 3)*(-14 - -4). Let k = s - 8. Calculate the remainder when 2 is divided by k.
0
Let a(u) = -2*u - 4*u**2 + 4 + 4*u**2 - 4*u - u**2. Let k be a(-7). What is the remainder when (-89)/k - (-3)/9 is divided by 11?
8
Let g(h) be the second derivative of h**5/20 - 3*h**4/4 + 4*h**3/3 + h**2 - h. Let m be g(8). Calculate the remainder when 14 is divided by (-1)/((-5 + m)/15).
4
What is the remainder when (10*7 - 2) + -3 is divided by 34?
31
Let n(o) = 4 + 7 - o**2 + 0 + 4*o. What is the remainder when n(5) is divided by 4?
2
Let c(g) = -g**3 - 7*g**2 + 4*g - 7. What is the remainder when 72 is divided by c(-8)?
22
Suppose 5*c = -5*o + 100, -3*c - 5*o + 50 = -4*o. What is the remainder when c is divided by 4?
3
Suppose -y = 3*y - 40. Suppose -5*o = -y*o + 140. Calculate the remainder when 54 is divided by o.
26
Let x(s) be the first derivative of -s**3/3 + 11*s**2/2 - 5*s + 8. Calculate the remainder when x(7) is divided by 12.
11
Let h(q) = q**3 - 16*q**2 + 2*q + 29. What is the remainder when h(16) is divided by 13?
9
What is the remainder when (24/(-10))/((-9)/30) is divided by (2 - -2) + 0 - -1?
3
Suppose 0 = 5*t + q - 144, 3*q = 2*t + 6*q - 55. What is the remainder when t is divided by 8?
5
Calculate the remainder when -6 - -2 - (-56 - 2) is divided by 11.
10
Suppose 0 = -4*s + t + 24, -2*s - 3*t - 2 = -7*t. What is the remainder when s is divided by 3?
1
Suppose -4*a - 18 - 2 = 0. Let p = a + 27. Calculate the remainder when 41 is divided by p.
19
Let l = -13 - -72. What is the remainder when l is divided by 15?
14
Let d = -29 - -41. Calculate the remainder when 23 is divided by d.
11
Suppose -4*d - 34 = -10. Let n(r) = 4*r**2 + 2*r + 2. Let p(l) = 5*l**2 + 3*l + 2. Let t(k) = -6*n(k) + 5*p(k). What is the remainder when t(d) is divided by 9?
7
Let r(c) = -2*c + 3. Let j = -6 - -8. Suppose j*a - y - 1 = 10, -17 = -3*a + 2*y. Calculate the remainder when r(-3) is divided by a.
4
Suppose -4*m + c = 2*c - 164, -c - 46 = -m. What is the remainder when 208 is divided by m?
40
Let s = 4 - -10. Suppose 2*o - 4 - 4 = 0. Suppose 0*t = o*t - 104. What is the remainder when t is divided by s?
12
Suppose -2*z = -0*z + 34. Let b = z + 24. Let k(r) = r + 3. What is the remainder when b is divided by k(0)?
1
Let p(o) = 2*o**2 + 2*o - 1. Suppose -3*a = 23 + 13. Let x = a - -32. What is the remainder when p(5) is divided by x?
19
Let b(i) = -5*i**2 - 4*i**2 + 11*i**2 + 2*i. What is the remainder when -1 + (2 - (-9 - 0)) is divided by b(-2)?
2
Suppose 76 = 2*w + 3*x - 16, -4*x = w - 36. What is the remainder when w is divided by 15?
7
Suppose 4 = -w, -2*r + 5*w - 2*w