is divided by z.
16
Suppose 4*i = 20 + 4. Let z(l) = l**3 - 4*l**2 - 11*l + 9. What is the remainder when 192 is divided by z(i)?
12
Suppose 5*y - 3*r = -2*r + 82, -3*r - 42 = -3*y. Let w(i) = 8*i + 11. What is the remainder when w(9) is divided by y?
15
Let v = 1543 - 1505. What is the remainder when 55 is divided by v?
17
Suppose 4*h = 5*v - 415, 2*v - 37 - 147 = -2*h. Calculate the remainder when 159 is divided by v.
72
Suppose -4*u + 21 = 3*d - 43, 3*d + 50 = 2*u. Calculate the remainder when 235 is divided by u.
7
Let m(z) = z**3 + 14*z**2 - 55*z - 11. Calculate the remainder when m(-17) is divided by 20.
17
Calculate the remainder when 1533 is divided by ((-428)/(-749))/(2/28).
5
Suppose -3*r + 5*r = 28. Suppose 3*w - 47 = -2*s - 2*s, 2*w - 8 = 2*s. Calculate the remainder when r is divided by w.
5
What is the remainder when (-1*(-884)/(-6))/(694/(-1041)) is divided by 56?
53
Suppose 0 = 3*t - 116 + 77. What is the remainder when 18 is divided by t?
5
Let f be (-4 - (-6 - -4)) + 140. Suppose -5*h = 25, 3*j = 3*h + f - 27. Suppose 0 = 4*m + 12, 5*m - 3*m = p - j. What is the remainder when 49 is divided by p?
23
Let k(h) = -h + 20. Let i be k(18). Suppose 0*w - 26 = -i*p - 2*w, 2*p + 4*w = 24. What is the remainder when 25 is divided by p?
11
Let f be 24/((-5)/((-45)/6)). Suppose 5*b - f = 4*k + 4, -b - 3 = -3*k. Let p = b - 3. What is the remainder when 15 is divided by p?
6
Let l(h) = -3*h**2 - 23*h + 10. Let a be l(-7). Let n = a - 14. Calculate the remainder when 26 is divided by n.
6
What is the remainder when 48 is divided by 1*8 - (17 - 18)?
3
Suppose -23*i + 2384 = 406. Let j be ((-80)/6)/(6/(-27)). Suppose -t + w + 25 = 0, w = 3*t + 3*w - j. Calculate the remainder when i is divided by t.
20
Let i = -18 - -40. Suppose -h - 114 = 4*g - 327, 0 = 2*g + 5*h - 111. Suppose 3*l + 17 - g = 0. Calculate the remainder when i is divided by l.
10
Let h = -13 + 11. Suppose -20 = 4*k - 56. What is the remainder when 47 is divided by ((-8)/h)/(k/36)?
15
Suppose -5*z = -3*r + 2308, 5*r - 20*z = -17*z + 3836. Calculate the remainder when r is divided by 8.
6
Let m(k) be the second derivative of 2*k**3/3 - 9*k**2/2 + k. Let v = -41 - -49. What is the remainder when 68 is divided by m(v)?
22
Let r(v) = -v**3 + 6*v**2 + 2. Let c be r(6). Suppose -c*s = 5*q - 109, 3*s = -5*q - 14 + 125. Let t = 89 + -6. What is the remainder when t is divided by q?
20
Let i(c) = -22 - 2*c**2 + c**2 + 18*c + 0*c**2. Suppose -62*y + 61*y + 16 = 0. What is the remainder when 36 is divided by i(y)?
6
Let m = -5 + 29. Suppose -73 = -2*z + 3*q, -z + 5*q = -23 - m. Calculate the remainder when z is divided by (3/(-2))/((-3)/36).
14
Let y = -356 - -377. Calculate the remainder when y is divided by 2.
1
Let z(k) = -2*k + 5. Let w be z(0). Suppose -4*x - 13 = -w*x. Calculate the remainder when 50 is divided by x.
11
Suppose -3*b + 88 = 2*h, 0 = 7*h - 11*h + 5*b + 176. Calculate the remainder when h is divided by 24.
20
Let g(t) = -t**3 - 11*t**2 - 7*t + 16. Let u be g(-10). Let p(k) = -k**3 - 13*k**2 + 11*k - 15. What is the remainder when 76 is divided by p(u)?
22
Suppose 3*x = -3*w + 51, 12 = -5*x + 32. Calculate the remainder when 116 is divided by w.
12
Let t = 73 + -63. What is the remainder when 21 is divided by ((-92)/(-20) + -2)/(2/t)?
8
Let c = -122 - -56. Let r = c - -67. What is the remainder when 4 is divided by r?
0
Suppose 2604 = -j + 4*j + 3*n, -n = -4*j + 3472. Calculate the remainder when j is divided by 97.
92
Let o be 2*35 + 1 + 1. Let w be 6 + -2 + (-1 - -2) - 46. Let l = w + o. Calculate the remainder when l is divided by 17.
14
Let n(w) be the second derivative of w**4/6 + w**3 - 5*w**2/2 - 5*w. Calculate the remainder when 4 is divided by n(-4).
1
Let r = 1181 + -1141. Calculate the remainder when 82 is divided by r.
2
Suppose 6*g + 8 = -8*j + 9*j, 3*g = j - 8. What is the remainder when 199 is divided by j?
7
Let j be 4 + 19 - (3 + -1). Let b = j - 16. Suppose -b*l + 252 = -l. Calculate the remainder when l is divided by 22.
19
Suppose -386 + 8 = -18*m. Calculate the remainder when 501 is divided by m.
18
Let y = 97 + -48. Let x = -56 + 73. What is the remainder when y is divided by x?
15
Suppose -4*v + 3*w = -2*v - 76, -5*v - w + 190 = 0. What is the remainder when 601 is divided by v?
31
Let i(x) = -x**3 + 23*x**2 + 41*x + 29. Calculate the remainder when i(24) is divided by 20.
17
Let b = -106 - -204. Let y = b + -85. What is the remainder when 62 is divided by y?
10
Let b = 558 + -549. What is the remainder when 17 is divided by b?
8
Suppose -8*a - 21 = -157. Suppose -5*v - 3*h + a = 0, -3*h - 2*h - 5 = 0. Calculate the remainder when 7 is divided by v.
3
Suppose -3*i = 6*i - 279. Calculate the remainder when 74 is divided by i.
12
Let h = 20 + -19. Suppose -16 + h = -3*q. Suppose -u + 7 = -q*t, -u - 2*u + 3*t + 81 = 0. What is the remainder when u is divided by 18?
14
Let c be (0 - 1/(-1))/(21/(-105)). Suppose r - 3 = 5. Let a = c + r. What is the remainder when a is divided by 1?
0
Suppose 0 = -13*k - 29 + 237. What is the remainder when 245 is divided by k?
5
Suppose z - 3*a - 188 = 0, 77*z - 73*z = -5*a + 684. Calculate the remainder when z is divided by 63.
50
Let s = -446 + 605. Calculate the remainder when s is divided by 21.
12
Suppose -2*m - 4*k + 14 = 0, -5*k - 13 = -4*m + 28. Suppose 8*n - 6 = m*n. Let c(b) = -b**2 - 13*b - 8. What is the remainder when 101 is divided by c(n)?
33
Let f(w) = -2*w**2 + 30*w. Calculate the remainder when 257 is divided by f(1).
5
Suppose 2*b - 66 - 76 = -4*v, 2*v - 144 = -2*b. Suppose b = 5*s - 2. Calculate the remainder when 33 is divided by s.
3
Let y = 289 + -185. What is the remainder when y is divided by 9?
5
Suppose 0 = -2*l + 7*l + 140. Let k = 123 - l. What is the remainder when k is divided by 31?
27
Suppose 4*g + 387 = 7*m, -3*m - 2*g - 2*g + 183 = 0. What is the remainder when 124 is divided by m?
10
Let u(k) = k**2 - 7*k - 8. Let n be u(8). Let y = n - -17. Suppose -4*q = -y - 3. Calculate the remainder when 23 is divided by q.
3
Suppose -12 - 9 = -3*s. Suppose 2*u + 1 = -d, -3*u + u = 2*d. Let o = 26 + d. What is the remainder when o is divided by s?
6
Let v = 88 - 91. Let f(m) = -51*m + 5. Calculate the remainder when f(v) is divided by 23.
20
Let y = 1 + 53. Let b(f) = 36*f - 38. Calculate the remainder when b(4) is divided by y.
52
Let i(o) = 6*o**2 - 2*o - 2. Let z be i(-1). Let x be z/45 - (-1234)/(-30). Let r = 67 + x. What is the remainder when 50 is divided by r?
24
Suppose 5*d - 1443 = -4*n, -3*n - 183 - 98 = -d. Suppose d = -5*i + 882. Let a = i + -54. Calculate the remainder when a is divided by 17.
14
Let d(x) = -12*x + 21. Let l be d(-12). Suppose 0 = 6*t - 5*t - l. What is the remainder when t is divided by 28?
25
Let h be (-1 + -1 - -1) + 3. Suppose 8 = -4*z + 4*w, -4*z + h*w + 6 = 5*w. Let n = 21 + z. Calculate the remainder when n is divided by 8.
5
Let f be (4/(-6) + 1)/(23/(-138)). Let g(r) = 18*r**2 + 2*r + 5. Calculate the remainder when g(f) is divided by 38.
35
Let g = -171 + 209. Suppose 0 = 26*f - 24*f - 526. Calculate the remainder when f is divided by g.
35
Let o(s) = -3*s - 3 - 8*s + 28*s + s. Calculate the remainder when 28 is divided by o(1).
13
Let v be -1 + 9/(-4*(-1)/12). Let f = 36 - v. What is the remainder when f is divided by 3?
1
Suppose 3*j + 3*f + f - 35 = 0, 2*j - 8 = 5*f. What is the remainder when 53 is divided by j?
8
Let z(v) = -v**3 - 3*v**2 + 23*v. Calculate the remainder when z(-8) is divided by 41.
13
Let x(o) = 2*o**2 - 7*o. Suppose 0*l - 5 = l. What is the remainder when 5/(-25) + (-286)/l is divided by x(5)?
12
Let h be (3 + -1)*(2 - 0). Suppose 4*j - 7*j + 9 = 0. Suppose -2*z = j*z - 2*c - 57, c = h. What is the remainder when 35 is divided by z?
9
Let w(k) = -18*k + 6. Let m be w(2). Let g = -45 - m. Let s = 32 + g. Calculate the remainder when 66 is divided by s.
15
Suppose 187*h - 192*h + 115 = 0. What is the remainder when h is divided by 14?
9
Suppose -48 = -2*s + 2*y + 38, 0 = s - 5*y - 23. Calculate the remainder when s is divided by 18.
12
Suppose 5*x - h = 2700, 6*x - 9*x + 1627 = -2*h. Calculate the remainder when x is divided by 60.
59
Suppose -5*a = -3*r + r + 7, r + 29 = -4*a. What is the remainder when (-10)/6 - (-539)/21 i