). Suppose 51 - p = -6*u. Calculate the remainder when 85 is divided by u.
13
Let o(s) = -30*s**3 + 2*s**2 - 1. Suppose 4*f = -1866 + 410. What is the remainder when 30/(-20)*f/6 is divided by o(-1)?
29
Suppose 0 = 11*s - 9 + 185. Let x = 70 - s. Calculate the remainder when x is divided by 29.
28
Let b(z) = 2*z**3 + 70*z**2 - 338*z + 100. Calculate the remainder when 3363 is divided by b(-39).
21
Let x = -38553 - -44989. What is the remainder when x is divided by 59?
5
Let j(b) = -2*b**2 + 3*b - 42. Let u be j(5). Let y = 215 + u. Calculate the remainder when y is divided by 14.
12
Let c = -3406 - -3835. Calculate the remainder when c is divided by (-2 - -26)*(-18)/(-8).
51
Let n(q) = -2*q**3 + 14*q**2 - 16*q + 70. What is the remainder when 2250 is divided by n(6)?
42
Let m(f) = -116*f - 655. What is the remainder when 151 is divided by m(-6)?
28
Let o = 94 + 188. Let p = -230 + o. Calculate the remainder when 307 is divided by p.
47
Let s be -3*7/42*-10. Suppose -2*r + 3*v - 24 = -5*r, -37 = -s*r - 4*v. What is the remainder when (2 - 6/4)*38 is divided by r?
4
Let i(m) = -8*m + 32. Let c be i(9). Let n be 2/((-12)/(-45))*-2. Calculate the remainder when n*-48*((-126)/c - 3) is divided by 37.
34
Calculate the remainder when 249 is divided by (-200598)/(-499)*(-2)/(-12).
48
Let i(x) = -560*x**3 + 10*x + 10. Let j be i(-1). Suppose j = -119*y + 127*y. What is the remainder when 349 is divided by y?
69
Let m = -18624 + 18709. What is the remainder when m is divided by 43?
42
Let y = 378 - 163. Let k = 5199 - 5189. Calculate the remainder when y is divided by k.
5
What is the remainder when 8447 is divided by (-25)/((-96)/(-416)*(-3)/9)?
322
Let x be 1/(1 + 2) - 519/(-9). Let r(k) = 7*k + 6. Let c be r(-8). Let v = c + x. Calculate the remainder when 35 is divided by v.
3
Suppose 142669 + 522359 = -29*w. What is the remainder when (12/(-14))/(312/w) is divided by (-2)/3 - (-112)/6?
9
Let s = -1720 - -1762. Let r be 3/15 - 1218/(-10). Suppose 0 = -5*b + r - s. Calculate the remainder when 47 is divided by b.
15
Suppose 0 = 2*t - 2, -2*b + 2*t - 4*t = -222. Let g = 2870 - 2862. Calculate the remainder when b is divided by g.
6
What is the remainder when ((-31)/(4030/5564))/(3/(-105)) is divided by 213?
7
Let b = 37343 + -34900. What is the remainder when b is divided by 11?
1
What is the remainder when (-20)/(-670) - 97800/(-670) is divided by (-2 - (-47)/2)*2?
17
Let b = 57 + 16. Let q(j) = -59*j + 11. Let x be q(1). Let n = -10 - x. What is the remainder when b is divided by n?
35
Suppose -8*g - 1028 = 484. Let n = 299 + g. Calculate the remainder when n is divided by 32.
14
Let g(j) = 17*j**3 - 2*j**2 + 1. Suppose -3 + 1 = -2*k. Suppose 5*f - 70 = -2*i + 135, -5*f = -i - 220. Calculate the remainder when f is divided by g(k).
11
Let k(m) be the second derivative of -m**5/20 - 17*m**4/12 - 9*m**3 + 3*m**2 + 196*m. What is the remainder when 82 is divided by k(-13)?
18
Let x = 13004 - 11108. What is the remainder when 5692 is divided by x?
4
Let a be -2*35/10 + 28. Calculate the remainder when 206 is divided by 35*((-6)/(-21))/(3/a).
66
Calculate the remainder when 559 is divided by (-18 + 0)*7/(14/(-9))*1.
73
Let v = 11 - 1. Let p = 19708 + -19699. What is the remainder when v is divided by p?
1
Suppose -25*u = -9*u - 272. What is the remainder when u is divided by 3?
2
Suppose -3*z + 8*z - 435 = -5*o, -237 = -3*o + 3*z. Suppose d = 2*k + 2, -d + 9 = 5*k - 35. Calculate the remainder when o is divided by d.
13
Let q = 1041 - 740. Let j(d) = -7*d**2 - 66*d - 18. Calculate the remainder when q is divided by j(-8).
53
Let i(n) = 2*n + 86. Let l be i(0). Let k = 107 - l. Suppose -k = -5*b - 4*v, -2*b + 4*v + 14 = -0*b. Calculate the remainder when 32 is divided by b.
2
Let u(z) = -z**3 + z + 36. Let k(v) = v**3 - 26*v**2 + 49*v - 22. Let c be k(24). Suppose -24 + 8 = -c*o. Calculate the remainder when u(0) is divided by o.
4
Suppose 2*g + 0 - 34 = -5*u, -5*u + 38 = 4*g. Calculate the remainder when u*(-328)/(-192)*4 is divided by 28.
13
Suppose 0 = -5*v - 2*n + 466, 292*n - 9 = 289*n. Suppose -2 - 2 = x. Let b(y) = -y**3 + 6*y + 8. What is the remainder when v is divided by b(x)?
44
Let h(q) = 58*q + 16. Let x be h(3). Suppose 7*c - 41 = x. Suppose 3*i - 21 = 3*v, 3*i - 3*v - 33 = -2*i. Calculate the remainder when c is divided by i.
3
Let j(s) = -s**3 + 7*s**2 - 15*s + 39. Suppose -4*x + 36 = 5*o, x + 12 = -0*o + 4*o. What is the remainder when j(x) is divided by (-1 - -1) + -1 - -16?
12
Let z(r) = 7*r**2 + 25*r + 224. Calculate the remainder when z(-7) is divided by 48.
8
Suppose -3*k + 35*f = 39*f - 2463, 2*k = -5*f + 1635. Calculate the remainder when k is divided by 207.
204
Suppose 47 - 179 - 98 = -5*u. What is the remainder when u is divided by -10*(1 - (-3 + 5))?
6
Let m(x) = 2*x**2 - 9*x - 4. Let j be m(7). Suppose -65 = 2*u - 7. Let q = j + u. Calculate the remainder when 6 is divided by q.
0
Suppose -q - 2*a = -52, -4*q + 0*q = -4*a - 196. Let u be (-8 - 8)/8 - (-2 - -1). Calculate the remainder when q is divided by (-10 + (-583)/(-77))/(u/7).
16
Let z = 19065 - 12908. What is the remainder when z is divided by 16?
13
Suppose -4*d = 2*f + 14, -2*f + 3*d = -124 + 82. Suppose 17 = 2*m - 35. What is the remainder when m is divided by f?
8
Let v(f) be the third derivative of 16*f**5/15 - f**4/24 - 139*f**2. Calculate the remainder when v(1) is divided by 3.
0
Suppose 8*x - 5*d = -20, -238*d + 21 = -3*x - 235*d. What is the remainder when (-3)/(-1)*(-278)/(-6) is divided by x?
4
Calculate the remainder when 44 is divided by 45 + 0 - (-49 + 51).
1
Let w(b) = 11*b + 30. Let z be w(-3). Calculate the remainder when z*((-2002)/30 - (-2)/5) is divided by 50.
49
Suppose 777*k - 5610 = 726*k. Calculate the remainder when k is divided by 44.
22
Let m(s) = -s + 19. Let n be m(-2). Suppose 5*a - 18*h + 16*h = 119, -a = h - n. What is the remainder when a is divided by 17?
6
Let i be (13/(-26))/(627/(-624) - -1). Suppose 117*p - 1963 = i*p. Calculate the remainder when p is divided by 32.
23
Let z = 323 - 226. Let m = 651 - 637. What is the remainder when z is divided by m?
13
Let r(f) = -f**3 - 2*f**2 + 8*f + 8. Let h(o) = -2*o**3 + 72*o**2 - 4. Let u be h(36). What is the remainder when 15 is divided by r(u)?
7
Suppose -87*l + 3*t = -83*l - 27, -5*l + 39 = -2*t. What is the remainder when 30049 is divided by l?
7
Suppose 0 = 5*t - 12*t + 385. Calculate the remainder when 41 is divided by (-1*(-1)/3)/(t/2310).
13
Suppose -5*q = -3*t - 9, -3*t - 5*q = -t - 19. Let l = -34 + 40. What is the remainder when 23 is divided by 1 + l - ((-4)/(-1))/t?
3
Suppose 3*u - 35 = -2*u. Let h = -176 - -178. Suppose -d = 5*f - h, -f + 51 = 4*d - 14. Calculate the remainder when d is divided by u.
3
Suppose 3*u - q - 143 + 52 = 0, -2*u + 3*q = -63. Suppose p + u = -4*b + 72, -2*p = -b + 6. What is the remainder when (-140)/(-3) - (-1)/3 is divided by b?
7
Let n be (((-80)/(-6))/4)/(1/6). Suppose z - r + 3*r = n, 2*z - 40 = -r. What is the remainder when 98 is divided by z?
18
Suppose 10*n + 3872 = 26*n. Let z = n - 199. What is the remainder when z is divided by 36?
7
Let o be 9603/22 + -3 - 1/(-2). Suppose -541*c + 534*c = -o. What is the remainder when 680 is divided by c?
60
Calculate the remainder when 1279 is divided by 6836/16 + (-20)/16.
1
Suppose -5*h + 2530 = 5*c, 0*h - 2*h + 1006 = -c. What is the remainder when h is divided by 80?
24
Let j(o) = -6*o**2 + 13*o**2 + o**3 + 17*o**2 + 40*o - 54. What is the remainder when 97 is divided by j(-22)?
29
Let r(w) = -w**3 + w**2 + w - 1. Let z be r(0). Let i(o) = 3*o - 2*o + 32*o**2 - 15*o**2. What is the remainder when 40 is divided by i(z)?
8
Suppose o + o = 16. Suppose 0 = o*i - 3*i - 335. Calculate the remainder when i is divided by (21 - 14) + 13 - 6.
11
What is the remainder when (-49)/(686/(-26796)) - -10 is divided by 77?
76
Suppose -11*g + 26337 = 3*n, g - n = -0*g + 2393. Calculate the remainder when g is divided by 32.
26
Suppose 0 = 13*v + 26*v - 9*v - 60780. What is the remainder when v is divided by 70?
66
Let x(s) = -s**2 + 97*s - 863. Calculate the remainder when 919 is divided by x(11).
6
What is the remainder when (54 + -56)/(-3 - (-781)/261) is divided by 258?
3
Suppose -27060 = -71*z - 94*z. What