the remainder when r is divided by o.
11
Suppose -180 = 4*p - i - 249, -3*p = -5*i - 22. Suppose 3*v - 296 = 169. Let h = v - 100. Calculate the remainder when h is divided by p.
17
Let x = 10082 - 10067. Let q be (6/(-9))/((-8)/60). Let a(d) = -d**3 + 6*d**2 - 2*d - 5. What is the remainder when x is divided by a(q)?
5
Let g = 4069 + -3878. Calculate the remainder when g is divided by 18.
11
Suppose 2*c - c = -m - 1, 4*c + 13 = -m. Let b(v) = 5*v. Let f be b(1). Let w = f + m. Calculate the remainder when w is divided by 6.
2
Suppose 631 = 9*d - g, d - 44 = 5*g + 31. Calculate the remainder when 3424 is divided by d.
64
Let b = -15 + 28. Suppose j - 2*f = 5, -13*j - 5*f + 10 = -8*j. Let q(l) = 5*l**3 - 3*l**2 + 19. Calculate the remainder when q(j) is divided by b.
10
Let a(o) = o**3 + 4 + 9*o - 17*o**2 + 8*o - 9 - 6. Let k be a(16). Suppose -k*x + 85 = 50. Calculate the remainder when 75 is divided by x.
5
Let i = -288 - -293. Suppose 3*k = 5*v + 2*k - 504, -i*v = 2*k - 507. Let a = -35 - -87. What is the remainder when v is divided by a?
49
Let n = 2446 - 2033. What is the remainder when 428 is divided by n?
15
Let k(z) = -z**2 + 3*z - 10. Let v be k(4). What is the remainder when 111 is divided by (-19)/(3 - v/(-4))?
35
Let c = 13267 - 11810. What is the remainder when c is divided by 4?
1
Let s(h) = h**3 - 9*h**2 - 204*h + 1708. What is the remainder when 3369 is divided by s(8)?
9
Let s be (5*7 - 7/(-7))/1. Let h = s + -35. Calculate the remainder when (h/((-6)/(-8)))/(9/243) is divided by 13.
10
Let p(b) = 11*b**2 + 8*b. Let m be p(6). Let f = -18 + m. Suppose -9*s + 1461 - f = 0. What is the remainder when s is divided by 30?
25
Let r = -1888 - -3376. What is the remainder when r is divided by 15?
3
Let g(x) = -x**3 - x**2 - 1. Let q be g(-1). Let a be q/((-2)/14 - 0/(-7)). Calculate the remainder when (-32)/(-64) - 21/(-2)*a is divided by 25.
24
Let x(b) = 67*b + 518. What is the remainder when x(3) is divided by 62?
37
Suppose 944*x + 2480 = 964*x. Calculate the remainder when 399 is divided by x.
27
Suppose -3*c - 90*q = -91*q - 14061, 0 = 2*c + 4*q - 9346. Calculate the remainder when c is divided by 43.
41
Suppose -60*o + 2574 = -27*o. Calculate the remainder when o is divided by 17.
10
Let a = -2 - -1. Let o(f) = -2*f**3 - 69*f**2 - 34*f + 3. Let z be o(-34). Let i = z - a. Calculate the remainder when 6 is divided by i.
2
Let g be (-7 + 9)/((-4)/(-14474)). Suppose -7*j + g = -2724. Calculate the remainder when j is divided by 46.
43
Suppose -5*a + 2 + 3 = 0. Suppose 3*n + 6 = -5*c, -2*c - 5*n = -a + 11. Suppose c = -4*r + 46 + 362. Calculate the remainder when r is divided by 21.
18
Suppose 0 = -4*r - 12, 2*c - 206 = 3*r + 183. Suppose 3*m + 180 = 4*g, 5*g - c = m - 6*m. What is the remainder when 82 is divided by g?
40
Let y = -5993 - -6054. What is the remainder when 431 is divided by y?
4
Suppose -2*u = 2*u - 108. Suppose 12 = 5*y - 2*y. Suppose 0 = 3*p + 3, -n = y*n + 4*p - 236. Calculate the remainder when n is divided by u.
21
Let a be 2/(20/6) - 2481/(-15). Let k = -103 + a. Suppose 237 + k = 5*c - 5*r, 105 = 2*c - 5*r. What is the remainder when c is divided by 11?
10
Suppose 318 + 549 = 2*a - t, -5*a - 2*t = -2181. What is the remainder when a is divided by 17?
10
Let r(v) = -v**2 - 12*v + 13. Let n be r(-14). Let h = n - -24. What is the remainder when 71 is divided by (-3 - -4)/3 + 330/h?
34
Let w(q) = -q**3 - 39*q**2 - 7*q - 241. Calculate the remainder when 827 is divided by w(-39).
27
Suppose 13*d = 9*d + 12. Let n = -3 - d. Let x = n + 7. Calculate the remainder when 6 is divided by x.
0
Let l = 4905 + -4675. Suppose -g = 2*g + 2*s - 181, -10 = -5*s. What is the remainder when l is divided by g?
53
Let v(j) = 11*j + 168. Let t be -11 + 3*(7 + -8). What is the remainder when 344 is divided by v(t)?
8
Let i(d) = 1. Let x(h) = -6*h + 7. Let f(m) = 2*i(m) - x(m). Suppose -b - 16 = -5*b. What is the remainder when f(3) is divided by b?
1
Let b be 50/3*6/5. Let i(t) = -t + 23. Let p be i(b). What is the remainder when (p + (-48)/15)*-85 is divided by 4?
1
Suppose -296 = 5*t - 2*g, -3*t + 4*g = -6*t - 162. Let o = 61 + t. Suppose o*q - 363 = 264. Calculate the remainder when q is divided by 42.
41
Let k(w) = -w**2 - 53*w + 2967. What is the remainder when 1385 is divided by k(34)?
8
Let a(b) = -6*b**3 - 7*b**2 + 2*b - 2. Calculate the remainder when 89 is divided by a(-2).
5
Suppose 51*l = 1005 + 1749. Calculate the remainder when 477 is divided by l.
45
Let a = 9 - 5. Suppose 0 = -0*k + 2*k - a*m - 16, 4*k - 5 = -m. Let d(b) = 40*b**2 + 1596*b - 158. What is the remainder when k is divided by d(-40)?
0
Let w(u) = 72*u**3 + 2*u**2 - 2*u + 1. Let n be w(1). Suppose n = 2*j - t, -j + 4*t + 58 = 4. Calculate the remainder when 677 is divided by j.
31
Let f(u) = -7*u + 88. Let l be f(8). Suppose -4*d + 5*d + 5*n - l = 0, 0 = -2*n + 4. What is the remainder when 27 is divided by d?
5
Suppose 0 = -14*x + 7 - 21. Let i = 42 - x. Let g = 89 - 5. What is the remainder when g is divided by i?
41
Let w = -12872 - -12892. Suppose 2*j = -0*m - 3*m + 203, 15 = -3*j. What is the remainder when m is divided by w?
11
Let p(r) = -r**2 - 23*r - 37. Let t be p(-27). Let c = t - -342. Suppose -3*j + c = -3*s + 854, 3*s = 2*j + 662. What is the remainder when s is divided by 25?
24
Let g(f) = -f**2 - 24*f - 71. Let h(q) = q**2 + 10*q - 28. Let w be h(-11). What is the remainder when g(w) is divided by 58/6 - (-2)/6?
8
Suppose -1248 - 1452 - 800 = -20*u. Calculate the remainder when u is divided by 44.
43
Let k = -47522 - -47577. Suppose 2*a = -5*r + 46, -5*r + 7 = -3*a + 2*a. What is the remainder when k is divided by a?
3
Let b(m) = -m**3 + 5*m**2 + 7*m + 2. Let w be b(6). Let y = -5 + w. Suppose y*d + d = 120. What is the remainder when 119 is divided by d?
29
Let w be (-136)/6*((-21)/6 + 2). Let z = 104 - w. Suppose -4*u - u = -90. Calculate the remainder when z is divided by u.
16
Let i(k) = 3*k**2 - k - 5. Let n be i(4). Suppose -5*w + 2*w + n = 0. Suppose 139*x - 1320*x = -7729 + 3005. What is the remainder when w is divided by x?
1
Let b(i) = -2*i + 31. Let u be 3*1*16/6. Calculate the remainder when 26 is divided by b(u).
11
Let s(p) = -4*p**3 - 83*p**2 + 22*p + 26. What is the remainder when 1211 is divided by s(-21)?
1
Suppose 39*v - 12041 + 3734 = 0. Calculate the remainder when 619 is divided by v.
193
Let b(p) be the second derivative of -p**4/12 - p**3/2 + 2*p**2 - 24*p. Suppose 3*o - 6 + 0 = 0. Calculate the remainder when b(0) is divided by o.
0
Let a = 7348 - 3661. Calculate the remainder when a is divided by 21.
12
Let x(w) = -12*w + 10. Suppose 11*m + 33 = -0. Let o = 48 + -24. Calculate the remainder when x(m) is divided by o.
22
Let u(i) = i**2 + 87*i + 992. Let b(c) = c**3 + 8*c**2 + 6*c - 8. Let o be b(-7). What is the remainder when (301 - (o - -4))/2 is divided by u(-74)?
29
Suppose 3*o = 15*o - 936. Suppose -5*d + a = -d - o, 89 = 5*d + 3*a. Suppose -9*h + d = 1. Calculate the remainder when 26 is divided by h.
0
Let p = 51146 + -36460. What is the remainder when p is divided by 249?
244
Let h(a) = a**3 - 16*a**2 - 80*a + 7. Let z be h(20). Let g(n) = 22*n - 66. What is the remainder when g(z) is divided by 30?
28
Suppose -15449 = -3*y + 5*u, -6904 = -y - u - 1757. Suppose 24*n = 13*n + y. Calculate the remainder when n is divided by 47.
45
Let z be 3/4 + ((-76)/16 - -3). Let p(w) = 40*w**2 + 3. Calculate the remainder when p(z) is divided by 4.
3
Suppose 3652*i = 3638*i + 658. What is the remainder when 836 is divided by i?
37
Suppose -751 = -29*h + 786. Let t = h - -32. What is the remainder when 255 is divided by t?
0
Suppose -2*n + f + 3*f = 6, 2*n = -2*f + 12. Suppose 5*u = 25, n*u + 51 = 3*q + 6*u. Calculate the remainder when 44 is divided by q.
8
Let y(k) = -4*k**2 + 21*k - 165. Let r be y(-35). Calculate the remainder when r/(-60) - (-12)/9 is divided by 11.
10
Suppose 94*u - 19580 = -16*u. What is the remainder when 582 is divided by u?
48
Let h = -1543 - -1630. Let v(t) = -28*t - 6. What is the remainder when h is divided by v(-1)?
21
Let f(i) = i**2 + 19*i + 141. What is the remainder when (-1)/(9/(-1777)) + (-12)/27 is divided by f(-10)?
44
Let l(y) = -87*y - 2034. What is the remainder when 483 is 