. What is the remainder when o is divided by p?
16
Suppose -227 = -b - 2*m, 4*b + 2*m - 172 = 766. Let q = b - 109. What is the remainder when q is divided by 23?
13
Suppose 22 = 5*z - t - 2*t, -4*z + 4 = t. Let q be 12753/99 - z/(-11). Suppose -20*g + q = -17*g. What is the remainder when g is divided by 11?
10
Let d(z) = -z**3 - 19*z**2 + 4*z + 116. Suppose -5*f = h + 5 - 26, -2*h - 8 = 0. What is the remainder when d(-19) is divided by f?
0
Suppose -5*n + 197 = -4*d, -n = -4*n - 4*d + 131. Let a = 1992 + -1926. Calculate the remainder when a is divided by n.
25
Let a be (-17)/((-272)/(-64)) + 1*-38. Suppose -3*b = -73 - 161. Let d = a + b. Calculate the remainder when 139 is divided by d.
31
Suppose 0 = l - 5*a - 835, 5*a = -87*l + 82*l + 4415. Calculate the remainder when l is divided by 80.
75
Let r(a) = -5*a + 30. Suppose -20 = -3*q + 22. Let i be r(q). Let s = i - -46. What is the remainder when 33 is divided by s?
3
Let h = -10577 + 10643. What is the remainder when 641 is divided by h?
47
Calculate the remainder when 606 is divided by ((-63)/(-6))/(69/46).
4
Let g(y) = -21*y - 12. Let j be g(-8). Suppose -2*r + 321 = -6*n + 5*n, 0 = -r + 2*n + j. What is the remainder when r is divided by 43?
33
Suppose -320 = -4*m + 2*n, -m - 220*n + 94 = -217*n. Calculate the remainder when 474 is divided by m.
64
Let i = 7439 - 7193. What is the remainder when 2458 is divided by i?
244
Let o = -9 + 13. Suppose -3*u - 2*j + 1 = -3, -o*u = 4*j. Suppose -p = -3*k - 20, 4*p - 46 = -9*k + u*k. What is the remainder when 39 is divided by p?
11
Suppose 5*d + 5*j = 60, d + 3 = 2*j + 2*j. Let x(q) = -q**2 + 9*q - 237. Let a be x(38). Let f = 1379 + a. Calculate the remainder when f is divided by d.
4
Let v(o) = -o**3 + 14*o**2 - 26*o + 71. Let k be v(12). Suppose -4 = -5*x + 4*x + 4*t, 2*x + 5*t - k = 0. What is the remainder when 126 is divided by x?
14
Suppose 487*i + 3819 = 544*i. Calculate the remainder when i is divided by 17.
16
Let y be -13 - -9 - -1*212. Suppose -338 - y = -14*q. Calculate the remainder when 133 is divided by q.
16
Let a(o) = -o**2 + 9*o - 7. Let w be a(6). Suppose -3*b = -4*v + 53, -8 + w = -v + 4*b. What is the remainder when 115 is divided by v?
13
Let s be (-86)/(-8) - 15/(-60). Let b = s + -6. What is the remainder when 152 is divided by (-468)/30*b/(-2)?
35
Suppose -734 = -5*m + 616. Let y = 42 - 11. Calculate the remainder when y is divided by ((-6)/(-15))/(9/m).
7
Let v be 12/(-8)*(-24)/(-18). What is the remainder when 131 is divided by ((88/20)/v)/((-2)/10)?
10
Let y be (-1)/4 - (-49)/(-28) - -14. Suppose -y + 7 = -5*z. Suppose -3*w - z = -2*w, 62 = i - 2*w. Calculate the remainder when i is divided by 16.
12
Let d = -1028 + 1300. What is the remainder when d is divided by 66?
8
Let n = -36 - -47. Suppose -13*t = -n*t - 20. Calculate the remainder when 31 is divided by t.
1
Suppose 4 = -a, 5*a + 10 = -w + 2. What is the remainder when 1 + (-27)/w + 24129/84 is divided by 48?
46
Suppose 0 = 133*m - 138*m - 30. Calculate the remainder when 191 is divided by 55 + (-19)/((-19)/m).
44
Let b(z) = 2*z**3 - 21*z**2 + 24*z - 241. Calculate the remainder when b(12) is divided by 21.
17
Let g = 4971 - 1698. What is the remainder when g is divided by 42?
39
Let w = -105 + 108. Suppose -4*z + w*r = -113, -z + 2*r - 31 = -2*z. Calculate the remainder when z is divided by (-15)/1*12/(-10).
11
Let x(a) = -34*a**2 + 2789*a - 39. Calculate the remainder when 251 is divided by x(82).
36
Suppose 0 = 16*x - 131 - 45. Suppose -3*i + 71 - x = 0. Calculate the remainder when 76 is divided by i.
16
Let c = 11905 - 11840. What is the remainder when 323 is divided by c?
63
Suppose -5*z - 21 + 66 = 0. Let y(w) = w**3 - 9*w**2 + 7. Let m be y(z). Let c = m - -24. What is the remainder when 58 is divided by c?
27
Suppose -2*v + 2*f = -8, 4*v - f - 15 = -2. Suppose 2*z + 73*t - 77*t = 124, -v*z - t + 221 = 0. What is the remainder when z is divided by 55?
17
Suppose -191*a + 199*a - 640 = 0. What is the remainder when 632 is divided by a?
72
Calculate the remainder when (1 - (2345 - (1 + -1)))*4/(-8) is divided by 164.
24
Let f(w) = w**3 + 7*w**2 + 4*w - 11. Let m(s) = s**2 - 13*s - 11. Let v be m(14). Let a = v - -1. Calculate the remainder when f(-5) is divided by a.
3
Suppose -3*v + 4127 = 2*z, v = 4*z - 8281 - 8. Calculate the remainder when z is divided by 680.
31
Let s be (-2)/(-7) + 206/14. Suppose -3*m + 51 + s = 3*g, 4*m - 120 = 4*g. Let i(u) = -u**2 + 209*u - 2355. What is the remainder when m is divided by i(12)?
8
Suppose 5*x - 3*x + 13 = w, 3*x + 3 = -4*w. Suppose o - 54 = -3*b, -w*b + 225 = 18*o - 14*o. What is the remainder when 277 is divided by o?
49
Suppose -3*d - 3*c + 12 = -21, 0 = -d + 3*c + 11. Suppose 2*s = 0, 3*n + 6*s = 7*s + 78. What is the remainder when (n/7 + -2)*(61 - 12) is divided by d?
7
Let i(b) = 79*b - 503. Let u be i(7). Suppose -2*t + 4*w - 20 + u = 0, 0 = -5*t + 2*w + 59. Calculate the remainder when 1339 is divided by t.
8
Suppose 3*m + 0*d - 165 = 3*d, 4*d = 5*m - 272. Let n = -4933 + 4938. Calculate the remainder when m is divided by n.
2
Let b = 3 + 13. Let z be ((-1)/(-2))/(b/64). Suppose 152 = 2*a + z*a. Calculate the remainder when 69 is divided by a.
31
Suppose 21*n + 722 - 806 = 0. Let y(z) = 37*z**2 - z + 1. What is the remainder when y(1) is divided by n?
1
Let z(j) = -90*j - 17. Let o(q) = 4*q**3 + 112*q**2 - 121*q - 104. What is the remainder when z(-7) is divided by o(-29)?
39
Calculate the remainder when 5697 is divided by 170/8 + 270/360.
21
Let k = -353 - -236. Let d = 169 + k. Suppose w + 3*t - 287 = -43, -t = 5. What is the remainder when w is divided by d?
51
Let w = -31 + 17. Let s(n) = -6*n + 7. Calculate the remainder when s(w) is divided by (-39)/(-2) - 5/(100/10).
15
Let l(t) be the first derivative of 2*t**3/3 - 5*t**2/2 + 18*t - 69. Calculate the remainder when l(7) is divided by 22.
15
Suppose 7*z - 5*c = 8*z, 3*z - 5*c = 0. Suppose q - 133 - 144 = z. Calculate the remainder when q is divided by 9.
7
Let d(k) = k**3 + 56*k**2 - 114*k + 136. Calculate the remainder when 21 is divided by d(-58).
1
Let n be 770/(-175) + 6/(-10). Calculate the remainder when 138 is divided by -4 + 36 + n + 1.
26
Let y(p) = -1975*p - 9984. Calculate the remainder when y(-6) is divided by 110.
106
Suppose -3*a - 99 = 48. Calculate the remainder when 30 is divided by (182/a - -4)/(2/112).
14
Let z(s) = s**2 - 46*s + 112. Let y(a) = 15*a - 106. Let k be y(10). What is the remainder when 112 is divided by z(k)?
16
Let y be (83 - 24) + -1 + (2 - 2). Suppose -2*c + 50 = -y. Calculate the remainder when 376 is divided by c.
52
Suppose -3*c - 2*x + 468 = 0, 0 = -c - 41*x + 37*x + 146. Suppose 173 = 3*q + 3*i - 61, 0 = 2*q + 3*i - c. Calculate the remainder when q is divided by 24.
4
Let u = 38 + -25. Let n(f) = 2*f**2 + f + 4. Let p be n(0). Suppose -20 = -p*a, -2*h + 2*a + 186 = 2*h. What is the remainder when h is divided by u?
10
Suppose 0 = -4*h + l + 179, 4*h + 3*l - 228 = -h. Let z = h - 41. Suppose -2*u = p + 3 - 27, -p + 54 = -z*u. Calculate the remainder when p is divided by 18.
16
Suppose 241 = -99*b + 6*b + 4426. Calculate the remainder when 69 is divided by b.
24
Let c = 3953 - 3889. What is the remainder when 151 is divided by c?
23
Suppose 0 = -2*y - 134 + 812. Calculate the remainder when y is divided by (47/94)/(2/36) + 9.
15
Let k be 5 + 1 - 10602/((-108)/(-12)). What is the remainder when 125 is divided by (-110)/(-35) + -3 + k/(-28)?
41
Suppose 5*m + 59 = 4*a - 97, 5*a + 4*m = 236. What is the remainder when 284 is divided by a?
20
Suppose -5*s + 6 = 2*v, -3*v + 5*s = -2*v - 18. Let j = v - 8. Suppose j*t - 2*t - 968 = -5*u, -2*t = -2*u + 386. What is the remainder when u is divided by 39?
38
Let a(c) = -6*c + 173. Calculate the remainder when 878 is divided by a(14).
77
Suppose -940 = -0*a - 2*a - 4*h, -4*a - 4*h + 1888 = 0. Suppose 0 = -17*i + 18*i - a. Calculate the remainder when i is divided by 25.
24
Let c = -8087 + 8103. Let d(n) be the second derivative of -2*n**3/3 + 7*n**2/2 + 4*n. What is the remainder when d(-6) is divided by c?
15
Let d = 176 + -171. Suppose 0 = -3*k + d*u + 1333, -4*k = -4*u - u - 1774. What is the remainder when k is divided by 37?
34
Let q(o) = -o**3 - 4*o + 3*