 v is divided by l.
31
Suppose -m + h - 44 = -3*m, 0 = h. Let u(w) = w**2 + 8*w + 1. What is the remainder when u(6) is divided by m?
19
Let k(g) = 67*g - 1277. What is the remainder when 690 is divided by k(20)?
60
Suppose 5*q = 2*j + q - 22, -3*j = 2*q - 1. Suppose 2*a - 42 = -j*z + 13, 20 = 4*a. What is the remainder when z is divided by 4/((-6)/9 - 0)*99/(-66)?
6
Suppose 3*s - 16 - 70 = 2*u, u - 37 = -s. Let d = 51 - s. Let t = 39 - d. Calculate the remainder when 38 is divided by t.
18
Let l(w) = -w + 24. Let v be l(6). Let c be (6/(-3))/1 + v + -4. What is the remainder when -7 + 4 + (c - (3 - 1)) is divided by 3?
1
Let a(n) = 102*n - 4230. What is the remainder when 1025 is divided by a(42)?
53
Let p(n) = 26*n - 1584. What is the remainder when 337 is divided by p(68)?
153
Suppose 89 = 4*x - 371. Suppose 2*m + x = -5*o, 0*o - 2*m = o + 31. What is the remainder when 74 is divided by -1 - (1 + o)*(1 - 0)?
17
Suppose -3*u - 286 = -5*u. Let o = 164 - 10. Suppose -66*b + 61*b = 3*j - o, -5*b = -2*j - 139. Calculate the remainder when u is divided by b.
27
Let g(k) = 40 + 29 + 5*k + 5*k + 19. What is the remainder when 102 is divided by g(-8)?
6
Let t = -22562 + 22731. Calculate the remainder when 616 is divided by t.
109
Let t = 153 + 34. Let q = t - 70. Calculate the remainder when q is divided by 31.
24
Let l(f) = 404*f - 2257. Calculate the remainder when l(6) is divided by 10.
7
Let a(y) = 28*y - 349. Calculate the remainder when a(16) is divided by 29 - (-2)/(-4)*-2.
9
Let q(t) = 3*t + 410. What is the remainder when q(46) is divided by 69?
65
Let s = -169 + -353. Let k = -319 - s. What is the remainder when k is divided by 2/29 - (-9 - (-16668)/(-522))?
39
Suppose -5*x + 14 = 4, -2*x + 270 = h. Let t = 352 - h. Calculate the remainder when t is divided by 8.
6
Let w(r) = -r**3 + 12*r**2 + 2*r + 6. Let x(c) = c**3 - 30*c**2 + 231*c + 8. What is the remainder when x(14) is divided by w(12)?
16
Let i(o) = 271*o - 7203. Calculate the remainder when 3529 is divided by i(27).
109
Let f be 10/45 + ((-29)/9 - 1). What is the remainder when 178 is divided by (-13 - f)/((-54)/(-20) - 3)?
28
Let x(b) = -4*b**2 + b + 1. Let z be x(1). What is the remainder when 6 is divided by (220/(-25) - -8)/(z/5)?
0
Let t = -613 + 634. Calculate the remainder when 2*(-5 - -3)*(-13 + -7) is divided by t.
17
Suppose 5*i - p - 134 = 0, 93*i - 97*i + 4*p + 120 = 0. Suppose 5*d - 24 = 6. What is the remainder when i is divided by d?
2
Let y = 15796 - 14332. Calculate the remainder when y is divided by 173.
80
Let o = 139 - 73. Let m = o - 30. Calculate the remainder when m is divided by 19.
17
Suppose 39 + 41 = 7*b - 2*g, b = -g + 14. Let j(v) = v**3 + 15*v**2 - 3*v - 15. Calculate the remainder when j(-10) is divided by b.
11
Suppose -405 = -15*w - 0*w. Let b(k) = k**2 - 29*k + 63. What is the remainder when 35 is divided by b(w)?
8
Suppose -4647*x - 9405 = -4666*x. What is the remainder when x is divided by 2?
1
Suppose -3730 = -24*m + 1382. What is the remainder when m is divided by 52?
5
Suppose -3*u = -4*o - 4606, -302*o + 298*o + 32 = 0. What is the remainder when u is divided by 9?
7
Let a = 1164 + -429. Suppose -5*p = -4*d - a, -p - 15*d + 11*d = -123. Calculate the remainder when p is divided by 73.
70
Let c = -9 + 22. Let d(z) = 0*z**3 - 1545 + 3*z + 13*z**2 - z**3 + 1551. Calculate the remainder when d(c) is divided by 4.
1
Suppose 0*v = -v + 21. Suppose 4*s - 56 - 88 = -2*b, 2*b = 2*s - 60. Calculate the remainder when (-4)/s + 1056/17 is divided by v.
20
Suppose 20*n + 40 = 40*n. Suppose s - k - 298 = -s, -n*s + 3*k = -290. Calculate the remainder when s is divided by 17.
15
Suppose 23 = r - i + 2, -r + 3*i + 25 = 0. Suppose 0 = -14*d + r*d - 15. What is the remainder when (-5)/(-20) + (-110)/(-8) is divided by d?
2
Let i(t) = 8*t - 20. Let s be i(22). Let r = s + -154. What is the remainder when 2 is divided by r?
0
Suppose 5*q + j - 815 = 0, 5*q - 615 = -4*j + 215. Calculate the remainder when 1455 is divided by q.
159
Let z(b) = 13*b**2 - 343*b - 190. What is the remainder when 27142 is divided by z(27)?
24
Suppose 49*c = -55*c - c + 11550. Calculate the remainder when 689 is divided by c.
29
Suppose -5*i + 15*z - 4009 = 16*z, 2*i + 1599 = -5*z. Let u = -790 - i. What is the remainder when 80 is divided by u?
8
Let l be (206 + 1 + 4 + 0)*1. Let u = -184 + l. Calculate the remainder when 187 is divided by u.
25
Suppose 0 = -4*q - 2*z + 29470, -2*q + 10781 + 3949 = 2*z. Calculate the remainder when q is divided by 19.
17
Let r(j) = j**3 - 18*j**2 + 17*j + 25. Suppose -3*u - 2*u = -85. Calculate the remainder when (812/(-84) + 3)*(-108)/10 is divided by r(u).
22
Let k be (-2 + 2 - 4) + 4. Suppose 2*f + 229 = 4*f + 5*g, k = 2*f - 2*g - 264. Let d(c) = 4*c**2 + 2*c - 4. What is the remainder when f is divided by d(-3)?
23
Let r(y) = y**3 + 15*y**2 - 3*y - 36. Let n be r(-15). Suppose -n*p - 1424 = -17*p. What is the remainder when p is divided by 60?
58
Suppose 0 = 93*g - 98*g - 4*y + 105, -y + 21 = g. Let p(u) = 7*u**2 + 6. Let v be p(-5). Let j = -99 + v. What is the remainder when j is divided by g?
19
Suppose 0 = -2*u - 0*u + 138. What is the remainder when u is divided by (-3)/2*-14 + 2*(-57)/38?
15
Suppose 0 = -3*q - 3*w + 39, -66 = -3*q - 2*w - 25. Suppose -14*c - 287 = -21*c. What is the remainder when c is divided by q?
11
Let k = -3759 + 3957. What is the remainder when k is divided by 1/(-5) - (-5115)/75?
62
Let x be 5 - -10 - 3/(-1). Let b = x + -16. Suppose 2*a = 8*y - 3*y - 64, -b*y + 31 = a. What is the remainder when 55 is divided by y?
13
Suppose -21*y + 5*w = -25*y + 1895, 4*w = y - 479. Calculate the remainder when y is divided by 70.
55
Suppose -1294 = -t - 942. Suppose 5*v - 319 = -2*x, 3*x - t = -v + 107. Calculate the remainder when x is divided by 80.
72
Let h(d) = d**2 + 12*d + 14. Let s be h(-7). Let n be 6/s - 47*(-13)/7. Let c = 17 + n. What is the remainder when c is divided by 21?
20
Suppose 8 = 2*u - 16. Calculate the remainder when (61/(-2))/((-6)/u) is divided by 9.
7
Suppose -34*x + 2573 = -1211 + 758. What is the remainder when 1241 is divided by x?
84
Suppose -4*d + 352 = -3*d. Suppose 4*v = 2*x + d, -5*v - 4*x + 245 = -195. Calculate the remainder when 51 is divided by (-9)/6*v/(-12).
7
Let v(l) = 28*l**2 + 1900*l + 1900. Calculate the remainder when 3667 is divided by v(-1).
27
Let q = -10124 + 11399. Calculate the remainder when q is divided by 18.
15
Let y be -1*2 + (-158)/6*3. Let x = 67 + y. What is the remainder when 7 is divided by (6 - 2) + x/(-14)?
2
Suppose -4*q - 3*s + 218 = 0, -2*q - 2*s + 165 = 57. Let h(l) = l**2 - 27*l + 161. What is the remainder when q is divided by h(8)?
2
Let t(o) = 52*o**2 - 10*o + 228. Calculate the remainder when t(0) is divided by 225.
3
Let a be 194/2 + 9/(18/(-4)). Let d = a - 68. Calculate the remainder when d is divided by 22.
5
Suppose -2*x + 313 - 85 = -2*v, -v = x - 114. What is the remainder when 906 is divided by x?
108
Suppose 11658 = 196*k - 62430. What is the remainder when k is divided by 114?
36
Let n = -12 - -7. Let j(f) = -f**2 - 7*f - 4. Let l = 4244 + -4219. What is the remainder when l is divided by j(n)?
1
Let x be (6 - 15/(-10))*-14. What is the remainder when (-36675)/x - 4/14 is divided by 14?
13
Let g(q) = -965*q + 80136. What is the remainder when 3 + -2 + 1 - -202 is divided by g(83)?
40
Let g(s) = 21*s - 7. Let z be g(9). Suppose 4*b = -14*b + 936. What is the remainder when 103 is divided by b/z + 180/7 + 1?
22
Suppose -212*p = -223*p + 5236. Calculate the remainder when p is divided by 42.
14
Suppose 4*j + 2*c = 7*j - 4, -5*c = -5*j. Suppose j*m + 156 = 17*m. Calculate the remainder when 21 is divided by m.
9
Let o = -226 - -227. Calculate the remainder when (-476)/2*(o + (-12)/8) is divided by 24.
23
Let x = 137270 + -137234. Calculate the remainder when (-3934)/(-10) - 2/5 is divided by x.
33
Let q(a) be the second derivative of a**4/12 + a**3/3 + 13*a**2/2 + 10*a - 2. Calculate the remainder when q(-12) is divided by 68.
65
Suppose -6 = -2*u - 3*l, -3*l - 3 + 9 = 4*u. Suppose u = 296*q - 301*q + 310. Calculate the remainder when q is divided by 18.
8
Let m(y) = 2*y - 16. Let d be m(9). What is the remainder when 69*(-4 - (104/(-12))/d) is div