when y(j) is divided by 24.
22
Let d be 261 + (19/38)/(2/(-4)). Suppose -d = -9*b - 4*b. Calculate the remainder when b is divided by 7.
6
Let l(v) = -v**3 - 5*v**2 - 90. Let f be l(-7). Calculate the remainder when -1*(f/(-56) - 3568/14) is divided by 55.
35
Suppose 3906*p - 3898*p - 4584 = 0. What is the remainder when p is divided by 29?
22
Let n = 408 - 202. Suppose -238 = 3*d + n. Let z = d + 222. What is the remainder when z is divided by 25?
24
Calculate the remainder when 2/(24*(-1)/(-6108)) is divided by 261.
248
Suppose -2*a - 6*d + d + 387 = 0, 4*d = -2*a + 386. Let x(j) = j**2 - 55*j + 766. What is the remainder when a is divided by x(25)?
15
Let v = -11 - -14. Suppose s + v*s = -4*z + 36, 0 = 3*s + 4*z - 27. Suppose 32*w = 30*w + 8. Calculate the remainder when s is divided by w.
1
Calculate the remainder when 969 is divided by (18225/(-315) - -55)/(2/(-35)).
19
Calculate the remainder when 10625 is divided by (230/(-8))/(55/(-88)).
45
Let h = 3849 + -3648. What is the remainder when 804 is divided by h?
0
Let z(h) = 6074*h - 180. Let u be z(-4). Suppose 5*c - 82 = 88. What is the remainder when (-8)/10 + u/(-145) is divided by c?
32
Suppose -71*i + 52 = k - 75*i, 4*k - 273 = 3*i. Calculate the remainder when 264 is divided by k.
48
Suppose x - 3*j = 8, 3*x - j - 29 = 3*j. Suppose 2*o + 3 = 3*o, -131 = -t + 2*o. Suppose -139*v = -t*v - 152. Calculate the remainder when v is divided by x.
10
Let g(u) = 1295*u - 202015. Let z(y) = y**3 - 7*y**2 + 6*y + 2. Let n be z(5). Let p = -6 - n. What is the remainder when p is divided by g(156)?
2
Suppose 0 = 4*f + 2*a - 386, -38 - 31 = -f + 5*a. Calculate the remainder when 55 is divided by f/5 + (-9)/(-45).
17
Suppose 87 = j - 111 + 22. Calculate the remainder when 278 is divided by j.
102
Let z(v) = v**2 - 3*v - 6. Let h(p) = 3*p**2 - 6*p - 13. Let k(o) = 2*h(o) - 5*z(o). What is the remainder when 5313/42 - (3 - 15/6) is divided by k(4)?
30
Calculate the remainder when 1817 is divided by (-580)/6*((-177)/(-649) + 162/(-110)).
77
Let b = 11 + -5. Let z = 78 - 72. Suppose b*o = -z*o + 2136. What is the remainder when o is divided by 18?
16
Let w = -288 - -133. Let r = w + 0. Let g = r + 263. What is the remainder when g is divided by 22?
20
Let v(y) = 7*y**2 + 185*y - 15. What is the remainder when 347 is divided by v(-27)?
68
Suppose s + 4*w = 20, 7 = 3*s - 2*w + 3. What is the remainder when (-7 + s - -31)*1 is divided by 5?
3
Let r(y) = y**2 + 3*y - 8. Let g = 85 + -25. Suppose 16*q + g = 21*q. What is the remainder when r(-7) is divided by q?
8
Suppose -v + 138 = 19. Suppose 5193*y - 288 = 5161*y. What is the remainder when v is divided by y?
2
Suppose 0 = 4*o - u - 263, 4*u - 196 = -3*o + 6*u. Let n = o - -16. Calculate the remainder when n is divided by 17.
14
Let g(s) = 2*s**3 - 17*s**2 + 62*s - 19. Suppose -2*o + 7*t = 4*t - 119, -o - 4*t + 32 = 0. Calculate the remainder when g(8) is divided by o.
49
Let b = 489 + -474. Suppose -5*d + 1010 = -5*l, -12*d + 3*l - 636 = -b*d. Suppose 3*f - 19 = 2*f. What is the remainder when d is divided by f?
17
Let g = -896 + 896. Suppose g = -p + 2*x + 143, -3*p - 2*x = 8 - 421. What is the remainder when p is divided by 69?
1
Let s(d) = -2*d + 14. Let t be s(11). Let b(c) = 147*c - 35. Let p be b(t). Calculate the remainder when p/(-49) - (-2)/7 is divided by 11.
3
Let d = -17378 - -17388. What is the remainder when d is divided by 7?
3
Let a(q) = 8*q - 18*q - 4*q - 12. Suppose 97*c = 96*c - 3. What is the remainder when 87 is divided by a(c)?
27
Suppose -2*y - 2*a = -24, 0*y + 4*y - a = 38. Suppose 84 = -y*g + 13*g. What is the remainder when g is divided by 5?
3
Let v = -258 - -261. Suppose v*c - 36 = -4*l, 0 = -2*c + 2*l + 31 - 7. What is the remainder when 107 is divided by c?
11
Let o(u) = 1177*u + 8275. What is the remainder when 105 is divided by o(-7)?
33
Suppose 4*b = -4*s + 13080, 21*s + b + 3274 = 22*s. Calculate the remainder when s is divided by 164.
156
Suppose 0 = -65*j + 58*j + 21. Let v(c) = 27*c - 50. What is the remainder when 74 is divided by v(j)?
12
Suppose -46*j - 4*u = -51*j - 18, -2*u - 24 = 3*j. Calculate the remainder when -3 + (-20)/(-6) - 1216/j is divided by 35.
28
Suppose 0*l - 18*l + 140 = -166. Suppose 930 = -2*g + 7*g. What is the remainder when g is divided by l?
16
What is the remainder when 230 is divided by 1/(-8) + 667667/5336?
105
Suppose 4*r - 8 = 0, 3*r = s + 6 - 5. Let x(j) = -j**2 + 9*j + 12. Let a be x(s). Let v = 77 - a. What is the remainder when v is divided by 24?
21
Suppose -2*x + 210 = 45*c - 40*c, -4*c + 16 = 0. What is the remainder when x is divided by 83?
12
Suppose 2*k + 2*r = 10, -2*r = -2*k - 69 + 71. Calculate the remainder when 520 is divided by k.
1
Suppose 51 = -q + 102. Suppose -t + 15 = -3. What is the remainder when q is divided by t?
15
Suppose 4*n + 3*o = -n + 8425, 3*o = -n + 1685. What is the remainder when n is divided by 9?
2
Let j = 11577 - 11494. Suppose -4*f = -4*o - 10 + 90, 3*o - 5*f - 58 = 0. Calculate the remainder when j is divided by o.
20
Let j = 54 - 51. Suppose -j*x + 120 = q - 4*q, 44 = -q + 2*x. Let s = q - -93. What is the remainder when s is divided by 23?
11
Let d = 21812 + -21796. What is the remainder when 3998 is divided by d?
14
Suppose -3*u + 10 = -5*j - 3, 2*u + 4*j - 16 = 0. Suppose -d - 20 = -5*d. What is the remainder when (d - (-38)/(-8))/((-1)/(-68)) is divided by u?
5
Suppose -3*z + v - 19 = 0, 0*z - 5*v = -2*z + 9. What is the remainder when 21 is divided by 2*48/(-4)*4/z?
9
Let b be (-900)/(-30)*(-24)/(-10). Suppose 0 = -2*y + 5*q + b, 6 = -5*q + 2*q. What is the remainder when y is divided by 7?
3
Suppose -3*o = 7*o - 1250. Let v = o - -27. Suppose 4*r - w - v = 0, -2*r - 4*w + 5*w + 74 = 0. What is the remainder when r is divided by 21?
18
Let y = -2157 - -2184. What is the remainder when 34 is divided by y?
7
Let p = 6433 - 5877. Calculate the remainder when 567 is divided by p.
11
Let t(o) = 12*o**2 + 46*o - 10. Let j be t(-7). Suppose -7*r = 123 - j. Calculate the remainder when 4*(42/4 - -2) is divided by r.
12
Suppose -5*z - 4*y + 0 = 6, 0 = 2*z - 2*y - 12. Suppose 12*w + 95 = 3*j + 11*w, w - 55 = -z*j. What is the remainder when 57 is divided by j?
27
Suppose -17348 = n - 25*n + 86788. What is the remainder when n is divided by 161?
153
Let b = 168 - 249. Let z = -56 - b. Calculate the remainder when z is divided by -1 + 7 + 4/(-2).
1
Let s be (234/(-91))/((-2)/(14/1)). Let k(q) = -q**2 + 24*q - 99. Calculate the remainder when 49 is divided by k(s).
4
Let s(g) = -9*g + 1. Suppose 3*p + 0*r - 10 = -2*r, -2*r = -5*p + 38. Calculate the remainder when s(-4) is divided by 6/(1 + (-15)/p)*-2.
5
Suppose 18344 = -66*r + 66027 + 35675. Calculate the remainder when r is divided by 41.
33
Let n be -7 + 114/(-102) - (-4)/34. Calculate the remainder when 32 is divided by 12/n*(56/6)/(-1).
4
Let n = -764 + 572. Let i = -180 - n. What is the remainder when 81 is divided by i?
9
Let v be 4*(2 - (-21)/12). Suppose -3*t + 86 = -148. Suppose -o = -t - v. What is the remainder when o is divided by 24?
21
What is the remainder when (-19)/190*-65690 - -15 is divided by 108?
104
Calculate the remainder when ((-252)/(-7))/2*(5 + 20 + -5) is divided by 85.
20
Let d(u) be the first derivative of -1 - 13 + 8 - 8*u + 2*u**2 + u**3 - 2*u. What is the remainder when d(3) is divided by 5?
4
Suppose 77931 = 139*x - 41470. Calculate the remainder when x is divided by 283.
10
What is the remainder when (15036/105)/(11/165) is divided by 49?
41
Let l(v) = 3*v - 27. Let x be l(10). Suppose x*i = 4*o + 41, -2*o - 2*o - 48 = -4*i. Suppose -21 = -i*b + 63. What is the remainder when 45 is divided by b?
9
What is the remainder when (-2322)/(-126)*252/54 is divided by 24?
14
Let s = -283 + 132. Let r = s + 278. Let j = r + -89. Calculate the remainder when 72 is divided by j.
34
Suppose 0 = 3*h + 5*g - 344, 2*h = -g + 2*g + 212. Suppose h*k + 300 = 112*k. Let u(m) = 2*m**2 - 7*m - 10. What is the remainder when k is divided by u(6)?
15
Suppose -33*b = -38*b + 290. Calculate the remainder when 71 is divided by b.
13
Suppose -40105 = -5*z + 45*b - 50*b, -2*z + 16046 = 3*b. Calculate the remainder when z is divided by 23.
13
Let h(g) = 4*g**3 - 5*g**2 - g + 5. Suppose -1 = 2