ppose 6*r = 2*r - 20, 0 = o + 2*r + 6. Suppose 2*u - 30 = -2*b, -20 = u + o*u. Calculate the remainder when 73 is divided by b.
16
Let a(f) = -16*f - 8. Let b(u) = u**2 + u - 1. Let i(s) = a(s) - 2*b(s). What is the remainder when i(-8) is divided by 4?
2
Let l(v) = -v**3 - 6*v**2 + 22*v + 8. Suppose -3*y + 54 = -9*y. Suppose 3*p - 4 = 38. Calculate the remainder when l(y) is divided by p.
11
Suppose 4*h = 2*s - 30, -2*h - 5 = -2*s + 15. Suppose 3*u = s*u - 22. Suppose 0 = -10*o + 699 - 169. What is the remainder when o is divided by u?
9
Suppose -4*k = 2*h + 132, -2*h + k = 17 + 100. What is the remainder when 65 + 0*(-2)/2 is divided by 4 - (-1 + h/5)?
14
Calculate the remainder when 219 is divided by 13*11/(77/14).
11
Suppose 3*w - 2*i - 28 = 0, 5*w + 5*i = -0*w + 55. Calculate the remainder when 17 is divided by w.
7
What is the remainder when 10 is divided by (-30)/(-40) - (-34)/8?
0
Let w(h) = h**3 - 11*h**2 + 27*h + 20. What is the remainder when 45 is divided by w(6)?
1
Let x(l) = l**3 - 6*l**2 + 5*l + 1. Let t = 88 + -54. What is the remainder when x(8) is divided by t?
33
Let q(a) = -a**3 + 17*a**2 - 2*a + 7. Let v be q(17). Let s = v + 26. Calculate the remainder when 2*((-284)/(-8) - s) is divided by 15.
13
Calculate the remainder when 112 is divided by 60/(-6*8/(-24)).
22
Let i = -219 - -379. Suppose 7*p - 3*p - i = 0. What is the remainder when 117 is divided by p?
37
Suppose -3*q = 2*u + 2*q - 29, 2*u + 3*q - 39 = 0. Suppose 2*w = 5*k + u, -3*k + 5*k - 9 = -w. What is the remainder when 13 is divided by (-1 - -11)/(w - 9)?
3
Let h = 28 - -9. Let r = -31 - -44. What is the remainder when h is divided by r?
11
Let x(q) = q + 34. What is the remainder when x(30) is divided by 6?
4
Suppose 1 = -4*b + c + 5, -c - 4 = 0. Suppose -3*m - z - 48 = b, -3*m - 4*z - 72 = m. Let j = -9 - m. What is the remainder when 14 is divided by j?
2
Suppose 16 + 0 = 8*v. Calculate the remainder when 3 is divided by v.
1
Let x(c) = 119*c - 7. Let s be x(-2). Let k = -98 - s. Calculate the remainder when k is divided by 30.
27
Let q(t) be the second derivative of t**4/12 - 5*t**3/6 + 2*t**2 + 9*t. Let x be q(5). Suppose d = -d + x. What is the remainder when d is divided by 2?
0
What is the remainder when 863 is divided by (-138)/(-14) + (-23)/(1288/48)?
8
Let j = 102 + -37. Calculate the remainder when 28 is divided by ((-13)/j)/((-2)/50).
3
Suppose 5*g + 5*r + 10 = r, -7 = -g + r. Suppose -3*w = g*w. Suppose w = -3*y + 4*y - 39. What is the remainder when 77 is divided by y?
38
What is the remainder when (2 - 4)*((-3522)/12 - 3) is divided by 33?
32
Let p = 152 - 49. Let a = 134 - p. Calculate the remainder when a is divided by 3.
1
Suppose 6*b = 4*b - 6. Let f(v) = v + 3. Let n be f(b). Suppose -2*w = -n*w - 30. Calculate the remainder when 57 is divided by w.
12
Suppose 8*z - 724 = 4*z + 2*g, 4*z + 3*g - 734 = 0. Calculate the remainder when z is divided by 94.
88
Suppose p + 2*p + 2*l - 351 = 0, 3*p - 3*l = 336. Suppose -2*r = -6, -9*n + 5*r = -14*n + 210. What is the remainder when p is divided by n?
37
Suppose 2*z = 6*z + 4*q - 460, -570 = -5*z - 4*q. Calculate the remainder when z is divided by 12.
2
Let d(i) = 17*i - 258. Calculate the remainder when d(35) is divided by 32.
17
Let l(x) = 2*x**3 - 5*x**2 + 4*x + 1. Let m be l(4). Suppose 0 = 5*z - 20, 2*v = v - 5*z + m. Let b = v - 15. Calculate the remainder when b is divided by 16.
14
Let h(r) = 3*r**2 + 4*r. Let y be h(-3). Suppose y*v - 10 = 10*v. Calculate the remainder when v is divided by 2.
0
Let q(g) = -2*g + 157 - 23*g - 153 + 3*g**2. What is the remainder when q(11) is divided by 19?
16
Calculate the remainder when (21*72/(-294))/((-4)/42) is divided by 37.
17
Suppose -5*u = -h, 4*h - 46 = 4*u + 18. Suppose g - 10 = 109. Calculate the remainder when g is divided by h.
19
Let m(w) = 1. Let g(c) = -3*c + 3. Let u(s) = g(s) - 15*m(s). Let h be u(-5). What is the remainder when 48 is divided by 10*(h + (-3)/6)?
23
What is the remainder when 4/(-14) + 7686/147 is divided by 32?
20
Let j = 109 + 128. Let l = j - 93. Suppose 2*h - 101 = -3*v, -5*h = -2*v + 6*v - l. What is the remainder when v is divided by 12?
7
Let b(t) = t**2 + 9*t - 186. What is the remainder when 294 is divided by b(-20)?
22
Let c be 1/4*(-1 - (1 + -2)). Suppose 0 = -u - 4*l + 17 + 26, c = 5*u - 3*l - 123. Calculate the remainder when 78 is divided by u.
24
Let j be 7/(84/918)*4/3. Calculate the remainder when -2 + (-6)/(-4)*j/9 is divided by 9.
6
Suppose 4*a = 5*u - 227 + 57, -u + a = -33. What is the remainder when u is divided by (-588)/105*(52/(-8) - -4)?
10
Let l(v) = -7*v - 5. Let d be 3/(-3) - 1*2. What is the remainder when 30 is divided by l(d)?
14
Let l(x) be the second derivative of -x**3 - 17*x**2/2 - 6*x. Calculate the remainder when 36 is divided by l(-5).
10
Let u(k) = 2*k + 18. Let y be u(-8). Suppose 5*s = -w + 119, y*w - s - 183 = -0*w. What is the remainder when w is divided by 32?
30
Suppose -5*w + 4*r = -130 - 33, 0 = -5*w - 4*r + 187. Let p(c) = c + 27. What is the remainder when w is divided by p(-15)?
11
Let s(d) = 2*d + 1. Let a be s(3). Let l(o) = 17*o**3 - 3*o**2 + 17*o - 13. What is the remainder when l(1) is divided by (a/(-3))/1*-3?
4
Suppose 0*g - 4*w = 4*g - 16, 5*g + 2*w - 26 = 0. Let n = 3 + 8. Suppose 13 = t + n. What is the remainder when g is divided by t?
0
Suppose 33 = 2*l + 3. Calculate the remainder when (-2)/27 - (-20230)/459 is divided by l.
14
Calculate the remainder when 93 is divided by (-8)/(-4) - -78 - -4.
9
Suppose 4*z - 336 = 3*n, -12*z + 15*z + 5*n = 223. What is the remainder when z is divided by 9?
0
Let s(p) = p**2 + 18*p + 17. Let r be s(-16). Let k = 14 - r. Calculate the remainder when k is divided by 15.
14
Let v = -121 - -130. What is the remainder when 69 is divided by v?
6
Suppose -80*k + 75*k = 5*v - 65, 8 = -2*k. What is the remainder when 30 is divided by v?
13
Let m(r) = -r**3 - r**2 + r + 8. Let f(s) = s**2 - 11*s - 10. Let p be f(8). Let z = 56 + p. Calculate the remainder when z is divided by m(0).
6
Suppose -2*h - h = i - 15, 0 = 2*h + 3*i - 10. Suppose k - 5 = w, -h*w = 9 - 4. What is the remainder when (234/(-12))/((-2)/k) is divided by 10?
9
Suppose 3*g - d - 31 = 3*d, 2*d - 7 = -3*g. Suppose -2*c = g*n - 35, 0 = -5*c - 13 - 12. What is the remainder when n is divided by 2?
1
Suppose 1138 = 30*n - 62. What is the remainder when 186 is divided by n?
26
Let d(g) = -3*g**2 + 1 - g + 4 - 1 + 3*g**3 + 0. Calculate the remainder when (49 - (0 - 1))/2 is divided by d(2).
11
Suppose 0 = 2*s - 24 + 2. Let a(f) = -f**2 - 6*f + 6. Let u be a(-7). Let m = 8 + u. Calculate the remainder when s is divided by m.
4
Let v = 108 + -93. Suppose -2*t - f = -19, 2*f + 3*f = -v. What is the remainder when 31 is divided by t?
9
Suppose -3*c + 8*c - 845 = 0. Calculate the remainder when c is divided by 19.
17
Let x(s) = -4*s - 22. Calculate the remainder when 109 is divided by x(-9).
11
Let o be (-81)/6 - (-1)/2. Let g = o + 110. Suppose 2*n + 3*n = 2*u - g, -5*u = 2*n - 315. What is the remainder when u is divided by 21?
19
Suppose -3*b = -0*i - 5*i, 0 = -4*b + 5*i + 5. Calculate the remainder when 2/(-16) + (8660/32)/5 is divided by b.
4
Suppose 556*g = 548*g + 56. What is the remainder when 109 is divided by g?
4
Let d = 488 - 268. Calculate the remainder when d is divided by 74.
72
Let h(a) = 18*a**3 - a**2 + a. Let t be h(1). Let c be (16/48)/((-2)/6). Let m = t + c. Calculate the remainder when 30 is divided by m.
13
Suppose 4*p = -2*o + o + 20, 4*p + 60 = 3*o. Calculate the remainder when (-975)/15*(-6)/5 is divided by o.
18
Suppose -2*q + 88 = 3*r, 0*q - 3*q + 3*r + 147 = 0. Calculate the remainder when 231 is divided by q.
43
Let b(s) = 5*s**2 + 13*s + 17. Let p be b(11). Let i = p - 516. What is the remainder when i is divided by 42?
39
Suppose 2*k - 30 = 2*o, 4*o - 7 = 3*k - 53. What is the remainder when 405 is divided by k?
13
Let i = 32 - -37. Let h = 794 + -759. What is the remainder when i is divided by h?
34
Let n be 720/8*(-2)/(-4). Suppose 0 = -102*u + 105*u - n. What is the remainder when 74 is divided by u?
14
Calculate the remainder when 9227/11 + ((-48)/(-44))/6 is divided by 10.
9
Let y(w) = 78*w**2 - w - 1. Suppose 3*i - 34 = -31. What is the r