 r be (1 - 6) + (-171)/(-9) + 1. Let z(j) = j**3 - 13*j**2 - 27*j - 34. What is the remainder when 66 is divided by z(r)?
0
Suppose 57*u - 119 = 309*u - 2387. Suppose 0 = 4*m - f - 71, 0 = m + 3*m - 3*f - 77. Calculate the remainder when m is divided by u.
8
Let v = -68 - -74. Let o(l) = l**3 - 6*l**2 + 6*l - 7. Let y be o(v). Let z = y + -10. What is the remainder when 32 is divided by z?
13
Let w(u) = 3*u**3 - 15*u**2 + 27*u - 162. What is the remainder when 120 is divided by w(6)?
12
Let z = -2107 + 2143. What is the remainder when 101 is divided by z?
29
Let v(h) = h**2 - 21*h + 85. Let c be v(5). Suppose 17*q - 907 = -5*w + 18*q, c*q + 10 = 0. Calculate the remainder when w is divided by 63.
55
Let l = 136 + -130. Suppose l*o - 529 + 427 = 0. Calculate the remainder when 52 is divided by o.
1
Let f(h) = h**3 - 25*h**2 + 127*h + 357. Let b = 5 + 4. What is the remainder when f(15) is divided by b?
3
Let f = -171 - 8. Let b = f - -223. What is the remainder when b is divided by 25?
19
Suppose 3*t + x - 2246 = 4426, 2*x = 0. Suppose -2*p - t = -18*p. Suppose -l - 72 = -3*l. Calculate the remainder when p is divided by l.
31
Let l(b) = -2*b**2 + 34*b + 36. Let n be 178/10 + (9 - 147/15). Calculate the remainder when 81 is divided by l(n).
9
Let f(i) = 3*i**2 + 29*i + 1. What is the remainder when 10/4*(-1064)/(-190) is divided by f(-10)?
3
Suppose 255*x - 7487 - 3243 = 110*x. Let k(l) = 6*l - 2. Let i be k(-6). Let s = -19 - i. Calculate the remainder when x is divided by s.
17
Suppose 0 = 78*d - 104*d + 3614. Calculate the remainder when d is divided by 11.
7
Suppose 4*t = 3*p + 4277, 448*p + 4221 = 4*t + 453*p. What is the remainder when t is divided by 74?
28
Let m = -826 - -800. What is the remainder when 475 is divided by 2/m - 2970/(-78) - 4?
33
Suppose 0 = 4*t + 9 - 25. Let o = 3326 + -3201. What is the remainder when o is divided by t?
1
Let h(r) = 8*r**2 + 5*r + 4. Let j = -220 - -406. Suppose 5*t - j = 59. Calculate the remainder when t is divided by h(-2).
23
Suppose 6*z + 65 = 5*u + 11*z, 5*z = 2*u + 9. Suppose 4*h - 28 = -2*b, 5*b - 8 + 28 = 0. What is the remainder when (u/3)/((1 + -2)/(-6)) is divided by h?
7
Let i(c) be the second derivative of 3*c**5 + c**4/6 + c**3/6 - c**2 + 83*c. Calculate the remainder when i(1) is divided by 16.
13
Suppose -7*s + 13 + 8 = 0. Suppose 3*r - 2*r + j - 9 = 0, -4*r - s*j + 33 = 0. What is the remainder when 22 is divided by (0 - 2)/(2 - 13/r)?
10
Let r = -31 - -39. Suppose -3*b + 7 = -r. Suppose 2*t = b + 17. Calculate the remainder when t is divided by 7.
4
Let g(z) = -3*z**2 + 319*z - 386. Calculate the remainder when 116 is divided by g(105).
14
Let r = 12245 - 10935. What is the remainder when r is divided by 44?
34
Let o = -459 - -520. Calculate the remainder when 254 is divided by o.
10
Let r = 19102 - 18092. What is the remainder when r is divided by 125?
10
Suppose 4*h - 126 - 14 = 3*j, -4*j + 48 = 2*h. Calculate the remainder when 214 is divided by h.
22
Let q = 46 - -6. Suppose 506 + 652 = 6*y. What is the remainder when y is divided by q?
37
Suppose -28*g - 46*g + 4907 = -791. What is the remainder when g is divided by 6?
5
Suppose -5*z + 114 = -2*c, -4*z + 5*c - 7948 = -8012. Suppose -5*k + 0*k = -380. What is the remainder when k is divided by z?
24
What is the remainder when 166 is divided by (-2524)/(-32) - ((-10)/125 - 18/400)?
8
Let d(m) = -m - 1. Let p(j) = -j**3 - j - 49. Let r(w) = d(w) - p(w). What is the remainder when r(0) is divided by 13?
9
Let o be (-1073)/(-4) - (8 + (-595)/68). Let p = 2 - -3. Suppose -2*h + 5*y = 3*h - 245, p*h = -y + o. Calculate the remainder when h is divided by 14.
11
Let s = 6274 + -5555. Calculate the remainder when s is divided by 38.
35
Let o = -1116 + 1150. Let v(w) = w**2 - 14*w - 9. Calculate the remainder when v(-9) is divided by o.
28
Suppose -5*v + 57198 = -3*p, 3*v - 11*p + 10*p - 34314 = 0. Calculate the remainder when v is divided by 86.
84
Suppose 13*a - 96 = 9*a - 8*m, 0 = 3*a + 5*m - 72. Calculate the remainder when 1722 is divided by a.
18
Calculate the remainder when 134 is divided by (-104)/(-6)*(-94 + 97).
30
Let j(d) = -d**2 - 32*d - 66. Let a be j(-25). Suppose 0 = -2*w - 49 + a. Calculate the remainder when w is divided by 18.
12
Let s(q) = 15*q + 107. Let n be s(6). Suppose -a = 4*z - n, 0 = 4*z - 5*a - 174 - 17. What is the remainder when 92 is divided by z?
43
Suppose 4*q - 19 + 7 = 0, 0 = t + q - 666. What is the remainder when t is divided by 162?
15
Let d(h) = -h**3 + 118*h**2 - 6*h + 727. Suppose -a + 15 = -7*n + 3*n, -4*a - 2*n - 12 = 0. What is the remainder when d(118) is divided by (a - -6) + 4/(-4)?
3
Suppose -5*j = 2*n - 536 - 1140, 1690 = 5*j - 5*n. What is the remainder when j is divided by 11?
6
Let d(v) = 7*v**2 + 483*v - 372. What is the remainder when 602 is divided by d(-70)?
12
Let w(y) = 4*y**3 - 274*y**2 + 142*y - 8. Calculate the remainder when w(68) is divided by 58.
52
Suppose 5*i - 4*p = 26, 3*p - 40 + 52 = 0. Suppose -i*o - 155 = -207. Suppose 0 = 4*a - 124 - 168. Calculate the remainder when a is divided by o.
21
Let v be (-222)/(4 - 232/64). Let m = -580 - v. Calculate the remainder when 69 is divided by m.
9
Let o(p) = 3*p**2 - 7*p + 15. Let w(c) = c**2 - 3*c - 4. Let i be w(5). Let d be o(i). Let j = d + -77. What is the remainder when j is divided by 2?
0
Suppose 5*k = -4*q - 168, 212 = -4*q + k + 44. Let i = -834 + 806. Let n = i - q. Calculate the remainder when 39 is divided by n.
11
Let c(p) = -4*p - 27. Let h be c(13). Let z = -52 - h. Calculate the remainder when 160 is divided by z.
25
Let b = 5756 + -5496. What is the remainder when b is divided by 60?
20
Calculate the remainder when (1688/7)/(364/3185) is divided by 91.
17
Suppose -s - 246 = -2*s. Calculate the remainder when s is divided by 4*7 + (7 - (-27)/((-324)/192)).
18
Let m be (-1986)/(-33) + 0 - 4/22. Let n = m + -56. Suppose -4*q = z - 25, n*z + 3*q = 2*z + 30. Calculate the remainder when z is divided by 7.
2
Suppose 49915 = 25*q + 49265. What is the remainder when 947 is divided by q?
11
Suppose 3*x - 18*h - 225 = -17*h, 5*h - 91 = -x. What is the remainder when 4632 is divided by x?
72
Suppose 9*d = 2*d + 42. Suppose 0 = d*l - 3 + 15. Calculate the remainder when 22 is divided by l + (-8)/4 + 16.
10
Suppose -4*p + 18 = -30. Suppose -h - 5 = -2*h. Suppose 19*i - 1148 = h*i. What is the remainder when i is divided by p?
10
Suppose 15725 = -803*h + 828*h. What is the remainder when h is divided by 41?
14
Let g(j) = -2*j**2 - 21*j - 10. Suppose -2*q = -4*y + 66, -q - 12 = -y - 5*q. Suppose -y*l + 18*l - 12 = 0. What is the remainder when g(-9) is divided by l?
5
Let p(r) = -6*r - 77. What is the remainder when p(-31) is divided by 47?
15
Suppose -27 = -3*n, 3*i - 578 + 95 = -4*n. What is the remainder when 3125 is divided by i?
145
Let d = -121 - -126. Suppose 0*z = -d*z + 185. Suppose t - z = -4*a, 2*t + a = -0*t + 67. What is the remainder when t is divided by 12?
9
Let p(s) = 22*s + 673. Calculate the remainder when p(-18) is divided by 66.
13
Suppose -5*y + 230 = -4*o, 5*y - 3*o = 82 + 148. What is the remainder when 320 is divided by y?
44
Let w(o) = -2*o + 181. Calculate the remainder when w(0) is divided by 42.
13
Let n = 545 + -437. Calculate the remainder when 358 is divided by n.
34
Let i(d) = -19*d - 2 + 10*d + 4*d**2 + 23. What is the remainder when 132 is divided by i(4)?
34
What is the remainder when -3 + (-2 + 1120 - -5 - -7) is divided by 13?
9
Let t(o) = o**3 - 23*o**2 - 26*o + 44. Let b be t(24). Let y(z) = -z + 51. What is the remainder when y(22) is divided by (4/(-6))/(b + 712/180)?
14
Let d(l) = 3*l + 16. Let m = 126 - 122. Calculate the remainder when 150 is divided by d(m).
10
Suppose 0 = 4*i - k - 1659, 2*k = i - 580 + 174. Suppose 3 - 27 = 6*v, -3*v - 88 = -2*t. Calculate the remainder when i is divided by t.
36
Suppose 5*b + 2*z - 13466 = 0, 2*z - 235 + 219 = 0. Calculate the remainder when b is divided by 301.
282
Suppose r - l - 4 = 2, 3*l = 4*r - 32. What is the remainder when 140 is divided by r?
0
Suppose -153*w = -138*w - 5700. What is the remainder when w is divided by 107?
59
Let q(b) = 30*b**2 + 369*b - 1931. Calculate the remainder when q(5) is divided by 23.
20
Suppose 26*f - 11