en k is divided by 2.
0
Let n(s) = s**3 - 2*s**2 - 22*s - 45. Calculate the remainder when 345 is divided by n(7).
23
Let t = -18214 - -18312. Let p = 24 + 1. What is the remainder when t is divided by p?
23
Let z(y) = 34*y**2 + 2*y - 377. What is the remainder when z(5) is divided by 324?
159
Let v = -34 - -42. Suppose -v = 8*s + 8. Calculate the remainder when 4 + -5 - 190/s is divided by 32.
30
Suppose -d - 3*d + 72 = 0. Let o = -167 + 23. Let s = 215 + o. Calculate the remainder when s is divided by d.
17
Let s = 1153 + -1136. Suppose 4*d = -d - 230. Let b = 4 - d. Calculate the remainder when b is divided by s.
16
Let l(n) = 2*n**2 + 2*n - 831. What is the remainder when l(24) is divided by 93?
90
Suppose 5*b + 6 = 2*b, 3*r + 4*b - 49 = 0. Suppose -270*h + 9702 = 367*h - 36162. What is the remainder when h is divided by r?
15
Let j = 177 - 102. Suppose -5*u + 75 = -0*s - 4*s, -5*u + j = -2*s. Suppose 0 = -5*x + u, 4*x + 3 = 5*w - 0*x. What is the remainder when 8 is divided by w?
2
Suppose 0*x = -x + 8. Suppose 4*f = -x*f + 168. Suppose 3*b - 2*s = -s + 77, -105 = -4*b - s. Calculate the remainder when b is divided by f.
12
Let j(n) = 9*n**2 + 647*n - 367. What is the remainder when j(-76) is divided by 812?
9
Suppose 0 = -2*k - 8*k + 40. Suppose 0 = -3*q + 2*x + 114, -k*q + 96 = -q + 4*x. What is the remainder when 89 is divided by q?
17
Let w(o) = 953*o - 2780. Calculate the remainder when 4817 is divided by w(3).
77
Calculate the remainder when 890 is divided by (33 + -36)/(18/(-66)).
10
Suppose 2*b + 5*s - 326 = 0, -19*s - 745 = -5*b - 14*s. What is the remainder when b is divided by 12?
9
Let m be (-25)/(-350) + (-2126)/(-28). Suppose 4*y = v + 146, v = -0*y - 2*y + m. What is the remainder when 49 is divided by y?
12
Let l be -126 + 24/(16/(-4)). Let y = 59 - l. What is the remainder when y is divided by 24?
23
Let c = 420 + -417. Let h(o) = 26*o**2 - 37*o + 99. Calculate the remainder when h(c) is divided by 2/(-7) + (-317)/(-7).
42
Suppose -23*l - 66 = -25*l. Suppose -l*d = -43*d + 3340. What is the remainder when d is divided by 67?
66
Suppose -297*z - 8154 = -926*z + 4426. What is the remainder when 6991 is divided by z?
11
Let u = -87 - -111. Let z = -22 + u. Suppose -3*b + 130 = 5*q, -z*q = 2*b + 24 - 76. What is the remainder when 49 is divided by q?
23
Suppose 0 = 9*i - 55 - 26. Suppose -103 = -4*g + i. Let l = -80 - -163. Calculate the remainder when l is divided by g.
27
Let k = -14 + 36. Let q = k + -27. Let m(w) = -w**3 - 4*w**2 - 3*w. What is the remainder when m(q) is divided by 7?
5
Suppose 3*i - 1777 = 4*g, 18*i - 583 = 17*i - g. What is the remainder when i is divided by 85?
77
Let b be 36/12 - 19*-4. Let h = b + -66. Suppose 0 = -3*f + 2*g + 67, -39 - 8 = -2*f - g. Calculate the remainder when f is divided by h.
10
Let l = -51856 + 51870. Let o(h) = -78*h + 3. Calculate the remainder when o(-3) is divided by l.
13
Let n(v) = v**2 + 17*v - 1. Let s(r) = 4*r**2 + 49*r - 3. Let p(h) = -17*n(h) + 6*s(h). What is the remainder when p(1) is divided by 5?
1
Calculate the remainder when (10/(-12) - 5453/(-114)) + -1 is divided by (-2)/6 - (-158)/6.
20
Let i(b) = 15*b**2 - 250 - 17*b - 254 + 505. Calculate the remainder when 42 is divided by i(2).
15
Suppose 112*i = 122*i - 20. Suppose 0 = 2*p - 3*p + 14. Suppose 0 = 2*l - p - i. Calculate the remainder when 14 is divided by l.
6
Suppose -1387*y + 722 = -1383*y + 3*z, -5*z + 900 = 5*y. What is the remainder when y is divided by 50?
32
Let f = -670 + 514. Let v = f - -181. Calculate the remainder when (-2)/(-8) - (-1761)/12 is divided by v.
22
Suppose 4*r - 5*z + 3*z - 30 = 0, -4*r - 7*z + 21 = 0. Calculate the remainder when 1306 is divided by r.
4
Let u be 19 + -20 + (0 + 1 - -3). Suppose -3*t = 5*w + 788 - 2397, -u*t + 3*w = -1617. Calculate the remainder when t is divided by 54.
52
Let y(x) = x**2 + 2*x + 4. Let b = -12646 + 12838. Calculate the remainder when b is divided by y(5).
36
Suppose 3*t - 1470 = -3*r, -12*r = -16*r + 20. Calculate the remainder when t is divided by 122.
119
Let q(c) = -7*c - 14 + c + c**2 + 6*c - 2*c. Suppose h - m - 5 - 1 = 0, 5*h + 2*m - 30 = 0. Calculate the remainder when 39 is divided by q(h).
9
Let g = -18 + 11. Suppose -4*z + 5 = 17. Calculate the remainder when (g/(-14))/((9/(-222))/z) is divided by 10.
7
Suppose -5*g + 1 + 34 = 0. Suppose g*u = -0*u + 21. Suppose 3*c = -4*k + 89, -3*k - 100 = -u*c - 2*c. Calculate the remainder when c is divided by 10.
3
Suppose 5*t - 2*b - 341 = 0, -21*t + 26*t - 4*b = 337. Let s(n) = 28*n + 2. What is the remainder when t is divided by s(2)?
11
Suppose c + i = -4*i + 16, 0 = 2*c + 2*i - 32. Suppose -35*r - 43*r + 564 = -74*r. What is the remainder when r is divided by c?
13
Suppose 0 = -2*o + 42 + 8. What is the remainder when 322 + 2*o/(-10) is divided by 20?
17
Suppose 2*i - 2*r - 116 = 0, -2*i + 3*r + 48 = -73. Let z = 2982 + -2843. Calculate the remainder when z is divided by i.
33
Calculate the remainder when 654 is divided by -6*(-2 + 7)*205/(-615).
4
Let t(v) = -164*v**2 - v - 3. Let d be t(-1). Let g = 188 + d. What is the remainder when g is divided by 12?
10
Suppose -726 - 170 = -5*c - 3*v, -4*c - 2*v + 718 = 0. What is the remainder when 664 is divided by c?
121
Suppose -2*u - 79 + 83 = 0. Suppose -113 = -7*o + 3*o + y, 5*o - u*y - 145 = 0. Calculate the remainder when o is divided by 2/(2 - (-24)/(-14)).
6
Let v(h) = -4*h**2 - 80*h - 62. Let m = -116 + 98. Calculate the remainder when v(m) is divided by 23.
13
Suppose 2*t - 3204 = 2*n, 15*n + 1617 = t + 11*n. Calculate the remainder when t is divided by 32.
29
Let q = -5 - -30. Calculate the remainder when 6 + (-410)/70 - (-2768)/28 is divided by q.
24
Suppose 4*p + 22 = 4*x - x, -14 = -5*x + p. Let u(i) = 7*i - 3 + 5*i**x - 4*i + 0*i**2. What is the remainder when 19 is divided by u(1)?
4
Let a(t) = -20*t + 87. What is the remainder when 180 is divided by a(3)?
18
What is the remainder when 459 is divided by -9 + 126 + -5 + 7?
102
Let w = 502 + -465. Let q(o) = -o + 94. What is the remainder when q(w) is divided by 15?
12
Suppose 0 = -50*b + 1963 - 563. Calculate the remainder when 56 is divided by b.
0
Suppose 121 = 2*r - h, -5*h - 27 - 56 = -r. Suppose -3*o = 2*g - 17, 61*o - 56*o - 12 = -g. Calculate the remainder when r is divided by g.
2
Let m(k) = 117*k + 5241. Calculate the remainder when 272 is divided by m(-44).
86
Let p = -23 - -27. Suppose 3*k = -2*x + 410, -p*k = -0*x + x - 540. What is the remainder when k is divided by 28?
22
Let z(w) = -w + 3. Let n be (-2)/(-5)*130/13. Suppose 7*y + t = n*y + 161, -2*t = -10. What is the remainder when y is divided by z(-6)?
7
Let p = -7 - 0. Let t be (-114)/(-8)*p + 2/(-8). Calculate the remainder when (32/20)/((-4)/t) is divided by 22.
18
Let r(k) = -2*k**2 - 2*k + 1. Let a be r(-2). Let d(h) = -h**2 - 5*h - 5. Let m be d(a). What is the remainder when 22 is divided by (-10 + m)*14/(-21)?
4
Let g(z) = 11*z + 7*z - 10 - 21*z. What is the remainder when g(-13) is divided by (-16)/56 + (-72)/(-7)?
9
Suppose 212*b = -535*b + 138195. Let n = -52 - -100. What is the remainder when b is divided by n?
41
Suppose -101 = -u - 65. Let o = -81 - -187. Calculate the remainder when o is divided by u.
34
Suppose d - 25 = -22. Let m be (2/d)/(10/75). Suppose m*x - 33 - 42 = 0. Calculate the remainder when 134 is divided by x.
14
Suppose 102*h - 56380 - 25605 = 7*h. Calculate the remainder when h is divided by 58.
51
Let z = 12067 + -11904. Calculate the remainder when z is divided by 98.
65
Let z be ((-714)/170)/((2 - 1)/(-5)). Suppose -5*r = -36 + z. Suppose r*t - 198 - 258 = 0. Calculate the remainder when t is divided by 31.
28
Let v(l) = 33*l**3 + l**2 + 19*l - 42. Let k be v(3). Let o = -889 + k. Calculate the remainder when o is divided by 10.
6
Let s(m) = -4*m + 1 + m - 17. Let r be s(-6). What is the remainder when (3 - 1)/r*106 is divided by 36?
34
Let h = -1 - -12. Let g(i) = 32 - 2*i - 14*i**2 - 11*i**2 - 14*i**2 + 40*i**2. Calculate the remainder when g(12) is divided by h.
9
Suppose -1256 = -5*q + q + 4*a, 5*a = 5. Suppose v + 116 = 4*r - q, v = -3*r + 318. Calculate the remainder when r is divided by 9.
8
Let z(o) = -o**2 - 8*o - 7. Suppose -8 = k - 0. Let a be z(k). What is the rema