l. What is the remainder when 83 is divided by c?
23
Let d be 18/(-54) + 2721/9. Let r = 525 - d. What is the remainder when r is divided by 15?
13
Suppose 4*x + 3*v = 569, -9*x + 12*x - 4*v = 433. What is the remainder when 712 is divided by x?
140
Suppose 12*w - 73 = 119. Let p(c) = -6*c + 144. What is the remainder when 574 is divided by p(w)?
46
Suppose -5*b - 21 = -2*c - 142, 11 + 17 = 4*c. Suppose 5*y - 2*r = r + 2564, 0 = 3*y + r - 1530. What is the remainder when y is divided by b?
25
Suppose 9*d = 126*d - 92664. What is the remainder when d is divided by 133?
127
Let u(f) = f**2 - 9*f + 15. Let z be u(3). What is the remainder when (7/2)/(z - 206/(-68)) is divided by 31?
26
Suppose 5*f = -2*w + 165, -3*f + 1 = -4*f. Suppose 0 = -7*l + w + 27. What is the remainder when 251 is divided by l?
11
Let l(u) = 7*u**2 - 2*u. Let s be l(1). Suppose -s*i - 12 = -2*v, -v - i = -3*i - 5. Calculate the remainder when 58 - (2 + (-2 - 5) + v) is divided by 21.
20
Suppose 2*f + 5*y + 5 = 18, 2*f - y - 7 = 0. What is the remainder when (f/(-36))/(2/(-6))*126 is divided by 11?
9
What is the remainder when 175 is divided by (-710)/(-12) - (1712/(-96) - -18)?
57
Suppose 47*k = 45*k + 34. What is the remainder when 3399 is divided by k?
16
Suppose 3*a + 123 - 18 = 3*y, 2*y - 5*a - 85 = 0. Suppose -23*x - 6 = -29. What is the remainder when (-463)/(-926)*(x - 54)*-2 is divided by y?
23
Suppose 2*h + 115 - 39 = 0. Let q = 112 - h. Calculate the remainder when q is divided by 80.
70
Let a be ((-3)/2)/((-9)/24). Suppose -5*c + a*v - 100 = -3*c, -2*c - v - 120 = 0. What is the remainder when 56 is divided by (c/(-5))/((-12)/(-30))?
27
Suppose 24 = 4*m, q + 1191 = 2*m + 11093. What is the remainder when q is divided by 134?
132
Let w be ((-4)/(-8))/((-6)/24). Calculate the remainder when 19 is divided by -4*5/10 + w + 8.
3
What is the remainder when 1142 is divided by (325/(-125) + 1)*-145?
214
Let o = -20 - -44. Let j(u) = -14*u + 13*u + 22*u + 6*u**2 + 4. What is the remainder when j(-6) is divided by o?
22
Suppose 5*t - 16 = 3*t. Let h(z) = 4*z - 22. Let r be h(t). Let m = 10 + r. What is the remainder when 97 is divided by m?
17
Suppose -46 = m + 2*r, -4*m - 6*r - 169 = -3*r. Let t = m - -45. Suppose -3*j + 17 = n - t*n, 3*j = -3*n + 24. What is the remainder when 23 is divided by j?
2
Let u(a) = -a**2 + 50. Let s be u(-7). Calculate the remainder when (s - (-32)/(-20)) + (-14304)/(-40) is divided by 72.
69
Let i(o) = -o**3 + 137*o**2 - 2126*o - 272. Suppose 2*g + 2*g = 0, 4*b - 272 = -g. Calculate the remainder when b is divided by i(18).
4
Let z = -48 - -123. Let c = 28 + -26. Suppose 0 = c*w - 3*w, -3*x = -w - 21. What is the remainder when z is divided by x?
5
Suppose 0 = -10576*n + 10564*n + 1116. Calculate the remainder when 1570 is divided by n.
82
Let b(f) = 21*f**2 - 313*f - 25. Calculate the remainder when b(19) is divided by 27.
16
Let l = -5246 - -5723. Calculate the remainder when l is divided by 126.
99
Let f(p) = -p**3 + 80*p + 35. Let a = 258 + 5. What is the remainder when a is divided by f(-9)?
43
Let n(a) = a**2 + 6*a + 20. Let y be n(-12). Suppose 3*o - 4 - 11 = 0. Suppose o*m = 342 - y. Calculate the remainder when m is divided by 18.
14
Suppose -2*o = -h - 84, -5*h = 4*o - 0*h - 182. Suppose 0 = c - 3, n - 287 = -571*c + 575*c. What is the remainder when n is divided by o?
41
Let i be 0 - (-5 - -25) - -1 - 5. Calculate the remainder when (i/(-72))/(2/(364 - -2)) is divided by 16.
13
Suppose -2*x = 5*y - 153, 0 = 4*y + 2*x - 33 - 91. Calculate the remainder when y is divided by 16/(-32) + ((-132)/(-8) - 5).
7
Let g(a) = a**2 + 60*a - 56. Let x be g(-61). Let q(l) = -2*l - 9 + 6 + 33. Calculate the remainder when 95 is divided by q(x).
15
Let s(h) be the first derivative of h**4/4 + 4*h**2 - 7*h + 5. Let q = -6 - -8. What is the remainder when 133 is divided by s(q)?
14
Suppose -2*u + 2 = 34. Let d = u - -50. Let r(k) = k**3 + 18*k**2 - 42*k - 36. What is the remainder when d is divided by r(-20)?
2
What is the remainder when 579 is divided by (5/(-46))/(27/(-9666)) - (-2)/23?
33
Let v = 22056 + -21803. Calculate the remainder when 1258 is divided by v.
246
What is the remainder when ((-1126)/3 - (1 + -3 - 4))*-6 is divided by 13?
6
Let c be (-10)/(-15) + -2 + 1315/3. Let v = c + -420. Calculate the remainder when v is divided by (-2 + -1)/((-2)/4).
5
Let g = -2 - -30. Let i = -2275 + 2286. Calculate the remainder when g is divided by i.
6
Let d = 5 - -144. What is the remainder when d is divided by 29?
4
Let p(t) = -t**2 - 12*t - 7. Let c be p(-9). Let o = c - 18. Suppose o*n - 6 = 8. Calculate the remainder when 11 is divided by n.
4
Suppose 0 = -3*o - m + 46, -5*o + 2*m - 549 + 611 = 0. What is the remainder when 654 is divided by o?
10
What is the remainder when (25/(-10) - -3)*(-3 - -1693) is divided by 106?
103
Let v(f) = -f**2 + 48*f + 220. What is the remainder when 1355 is divided by v(52)?
11
Suppose -31*k - 8170 = -24414. What is the remainder when k is divided by 90?
74
Let h = -5438 - -5716. What is the remainder when h is divided by 90?
8
Let i = -111873 - -111942. Suppose -1086 = -5*n + 2*r, -2*n + 229 = 2*r - 211. Calculate the remainder when n is divided by i.
11
Let x = 139 + 12. Suppose -24*r - x = -655. Calculate the remainder when (-93)/(1/(-2) - 1) is divided by r.
20
Let q = 684 - 517. Let v = 175 - q. Calculate the remainder when v is divided by 3 - ((-2 - -1) + 1).
2
Let n(l) = 19*l**2 + 22*l**2 + 3*l - 13*l**2. Let x be 4/(-36) + 80/(-90). What is the remainder when 97 is divided by n(x)?
22
Let p = 6247 - 6205. What is the remainder when 5669 is divided by p?
41
Let b = 10264 - 10252. What is the remainder when 1199 is divided by b?
11
Suppose 17*x + 3908 = 4656. Calculate the remainder when 701 is divided by x.
41
Let u = -21086 - -22017. Calculate the remainder when u is divided by 455.
21
Let q(i) = i**3 + 14*i**2 - 61*i + 20. Calculate the remainder when q(-16) is divided by 119.
8
Let d be 1 + (-350)/45 - (-2)/(-9). What is the remainder when 55 is divided by -6*(2/d - (-16)/(-42))?
3
Let a = -9 + 4. Calculate the remainder when a - -6 - (-6)/1 is divided by -5*2/5*-3.
1
Suppose 2*u - 2*d = 3*d + 5, u + d + 1 = 0. Suppose -3*j + 4*j - 16 = u. What is the remainder when 24/(-30) - (-1422)/15 is divided by j?
14
Suppose -9*o = -5205 - 978. Let s = o + -672. Let v(z) = -118*z - 1. Calculate the remainder when v(-1) is divided by s.
12
Calculate the remainder when -5 + 3 + 517 + (21 - 26) is divided by 88.
70
Suppose 5*a = -3*z + 331, -3*a - 3*z + 219 = -8*z. Let y be 4/4 + -37 - 4. Calculate the remainder when a is divided by 13 - 8/(y/25).
14
Suppose 7*r - 2*r = 277 - 62. What is the remainder when 1712 is divided by r?
35
Suppose 136*r - 134*r - l = 28, 3*r - 32 = -l. Calculate the remainder when 143 is divided by r.
11
Calculate the remainder when 856 is divided by (5/2 + -3)*(-40)/10.
0
Let q(c) = 22*c + 643. Calculate the remainder when q(-25) is divided by 48.
45
Suppose 4*d - 246 - 234 = 0. Let j = d - 81. Calculate the remainder when 139 is divided by j.
22
Suppose -50*m = 4*w - 47*m - 4109, -w + 1036 = 2*m. Calculate the remainder when w is divided by 129.
119
Let f(m) = 705*m - 4123. Calculate the remainder when f(26) is divided by 64.
63
Let c = -2327 - -2607. What is the remainder when c is divided by 35?
0
Let r be (-2 + (-1132)/2)*20/(-40). Let i = 291 - r. Calculate the remainder when i is divided by 1.
0
Let w(v) = v**2 - 3*v - 20. Let u be w(0). Suppose x + 5*t + 25 - 5 = 0, x = -t - 28. What is the remainder when 26 is divided by u/x - (-19)/3?
5
Suppose -47*g + 43*g - 4*j + 980 = 0, 2*j + 260 = g. Calculate the remainder when g is divided by 30.
10
Let f be (-2 + -6)*(-9)/6. What is the remainder when 286 is divided by (-84)/(-7) - (f + -9)?
7
Let w = 841 - 361. Suppose -25*a = 23*a - w. What is the remainder when 148 is divided by a?
8
Let h = -157 - -1503. What is the remainder when h is divided by 64?
2
Let n(d) = -d**2 + 87*d - 420. Calculate the remainder when n(80) is divided by 45.
5
Suppose -5*o + 3*y + 58 = -16, -62 = -4*o + y. What is the remainder when 271 is divided by o?
15
Let u(s) = -1009*s + 22279. What is the remainder when u(22) is divided by (-3)/(-2)*20 - -1?
19
Let