 b = -279 + 416. Suppose -45*r - 595 + 1632 = -853. Calculate the remainder when b is divided by r.
11
Let j(l) = -3*l + 5. Let t = 57 - 56. Let k be j(t). Suppose 5*y - 5*a = 6 + 199, -3*y + k*a = -123. What is the remainder when y is divided by 11?
8
Suppose -204 + 69 = -3*f - 3*s, f + 3*s = 43. Let o = f - 125. Let p = -45 - o. What is the remainder when p is divided by 12?
10
Let g = 8164 + -7056. Calculate the remainder when 3338 is divided by g.
14
Suppose b = 3*b - 44. Suppose 103938 = 129*w + 102777. Calculate the remainder when b is divided by w.
4
Let q(h) = -h**3 + 9*h**2 - 10*h - 14. Suppose 6 = -2*v, -3*z + v - 205 = -7*z. What is the remainder when z is divided by q(7)?
10
Let z = 85 - 67. What is the remainder when (2 - 1)*(1 + 10) is divided by (2 + (-24)/z)*9?
5
Suppose 4*y + 33 = 85. Suppose -8*a + 3*s - 1167 = -5*a, -a = -5*s + 409. Let r = 388 + a. What is the remainder when y is divided by r?
1
Suppose -600*i + 9747 = -91053. What is the remainder when 316 is divided by i?
148
Suppose 2*h = 6*h, 102 = 2*o - 4*h. Suppose 10*j + t = 1393, -3*j = -2*j + 2*t - 145. What is the remainder when j is divided by o?
37
What is the remainder when 335 is divided by -136*((-76)/(-228))/((-2)/12)?
63
Let o be (-2)/(-3) - (-574)/(-6). Let c = -83 - o. Calculate the remainder when (-21)/1*(-3)/3 is divided by c.
9
Let i be 24/(-60) - 462/(-30). Suppose 4*g = -5*l + 7, -i*l + 12*l = -3*g + 12. Let o(r) = 3*r**3 + r. What is the remainder when o(1) is divided by g?
1
Suppose -2*y + 89 = 37. Suppose y + 2 = 4*o. Let b(n) = 162*n - 635. What is the remainder when b(4) is divided by o?
6
Let r = 1 + 3. Let g be 3/4 - (-116)/16. Suppose 0 = -t + 2*u + 21, g*t - 77 = 3*t - r*u. What is the remainder when 60 is divided by t?
9
Suppose 2*z + 7 - 5 = 0. Let s be 0/(-4 + z + 3)*1. Suppose 3*n + 8 = 4*n + 5*b, s = -2*n - 4*b + 10. What is the remainder when n is divided by 3?
0
Let y = -288 + 363. Suppose y*h = 74*h + 172. What is the remainder when h is divided by 35?
32
Suppose -20*c + 399 = -1301. What is the remainder when 228 is divided by c?
58
Let w(v) = -3*v - 11. Let x be w(11). Let c(d) = d**2 - 7*d - 29. Let s be c(6). Let y = s - x. Calculate the remainder when 26 is divided by y.
8
Suppose -41*x = -36*x - 175. Let d = 35 - x. What is the remainder when 53 is divided by 2/7 + 1488/84 - d?
17
Let y be (1/(-2))/((-44)/71280). Calculate the remainder when 122 is divided by y/26 + 8/52*-1.
29
Let f be -198*7/21*(-3 - -2). Suppose 67*v = 56*v + f. Calculate the remainder when 322 is divided by v.
4
Let w(r) = -779*r - 722. What is the remainder when 1357 is divided by w(-1)?
46
Suppose 8*r = 78 + 26. Let f(v) = -49*v + 51. What is the remainder when f(0) is divided by r?
12
Let n = -25 - -35. Suppose w = -w - 10, -n = i + 2*w. Suppose -5*f + 20 = 0, i*j = -5*j + f + 16. What is the remainder when 9 is divided by j?
1
Let w = 743 + -193. Let d = w - 537. What is the remainder when 311 is divided by d?
12
Let w = -1865 + 1950. Suppose 13*f - 15*f - 14 = 0. Let x(v) = v**2 + 3*v + 2. What is the remainder when w is divided by x(f)?
25
Suppose 12*h - 13*h = -5*p + 40, p + 3*h - 24 = 0. Suppose -47 + 191 = p*z. What is the remainder when 894 is divided by z?
14
Suppose 23*j + 3227 = 4*n + 20*j, -4031 = -5*n + j. Calculate the remainder when n is divided by 18.
14
Let f(p) = 9*p - 6. Let g be f(-6). Let t be (g/(-105))/((-12)/(-14))*9. Suppose -t*o + 2*o = -72. What is the remainder when 64 is divided by o?
10
Let g = 656 + -528. Suppose -g*h + 2004 = -124*h. What is the remainder when h is divided by 56?
53
Suppose -3*v = -4*v + 17. Let f(w) = 3*w**2 + 25*w + 86. Let d be f(8). Let t = d + -449. What is the remainder when t is divided by v?
12
Let o(d) = -d**3 + 4*d**2 + 9*d - 2. Let j be o(6). Let z be j/(-5) - 4 - -2. Calculate the remainder when 82/2 + z + -3 is divided by 7.
5
What is the remainder when (3/5 - (-1834)/(-40))/((-7)/56) is divided by 3?
2
Let i = -192 + 196. Suppose -2*t + 10*v = 6*v - 32, 2*t + 5*v - 23 = 0. Calculate the remainder when t is divided by i.
2
Let o(x) = x**3 - 67*x**2 + 72*x - 347. What is the remainder when 1696 is divided by o(66)?
30
Let w(j) = -j**3 + 24*j**2 - 4*j - 735. What is the remainder when w(22) is divided by 69?
7
Suppose 36*z - 38*z - 79 = -r, -205 = 5*z - r. What is the remainder when (4 - z/(-9))/((-4)/702) is divided by 50?
17
Suppose -13*v - 48*v = -271023. What is the remainder when v is divided by 13?
10
Let s(p) = p**3 - 3*p + 1. Let h be s(2). Suppose -92 = -2*a - 9*y + 7*y, h*a = 2*y + 163. What is the remainder when 130 is divided by a?
28
Calculate the remainder when 265 is divided by ((-62)/(-3) + -2)*540/210.
25
Calculate the remainder when 363 is divided by 13713/42 - -10 - 1/2.
27
Suppose -5*i = -0*i + u - 46, 3*u + 62 = 5*i. Let g = i + 28. Let j = g - -23. Calculate the remainder when j is divided by 21.
19
Suppose 2*u - 2*r - 14 = 0, 24 = -0*u + 2*u - 4*r. Suppose 2*t + 1 = -g, t + 3*g + 3 = 2*t. Calculate the remainder when u is divided by -2 + -1 + 4 + t.
0
Let b = -5110 - -5112. Calculate the remainder when 13 is divided by b.
1
Let z = -125 + 205. Let n(v) = -v + 7 + 6*v + 1 + 6*v**2 - 5*v**2. What is the remainder when z is divided by n(-7)?
14
Suppose 0 = -60*o + 93*o - 858. What is the remainder when 66 is divided by (o + -15)*12/44?
0
Let j be 1 + (-4 - -1) - (-1 + -3). Suppose -h = -j*m - 43 - 0, -m = -3. Calculate the remainder when h is divided by 20.
9
Let a(h) = 53*h**2 - 110*h + 264. What is the remainder when a(3) is divided by 55?
26
Suppose 6*g = g - 1980. Let i = -274 - g. Let a = i - 73. Calculate the remainder when a is divided by 10.
9
Let g(o) = -2*o**3 - 72*o**2 - 2*o + 114. Let z be g(-36). Suppose 1167 = 5*v - 3*b, 0 = v - 4*b - 44 - z. Calculate the remainder when v is divided by 34.
30
Let n = -905 - -1478. Suppose 75*g - 80*g + 120 = 0. What is the remainder when n is divided by g?
21
Let q = -9235 - -9281. What is the remainder when 618 is divided by q?
20
Suppose 39 = 5*y - 2*r, 3*y + 3*r + 3 = 18. Calculate the remainder when (41508/1260 - 4/2) + (-16)/(-280) is divided by y.
3
Suppose -2*r + 614 = 4*p, 2*p + 2*r = 488 - 180. Suppose -10*l = 81 - 301. Calculate the remainder when p is divided by l.
21
Let k(l) = 53*l + 1697. What is the remainder when k(-20) is divided by 23?
16
Let n(f) = f**3 + 5*f**2 + f - 5. Let q(o) = o + 9. Let x be q(-14). Let z be n(x). What is the remainder when 4 is divided by z + 10 - 2/(-2)?
0
Let y(f) = f**3 - 12*f**2 - 15*f + 30. Suppose 3*s = a - 10, -12*a + 10*a + 3*s = -23. What is the remainder when 35 is divided by y(a)?
3
Suppose 56374 = 242*z + 53470. Suppose 5*x = 4*p - 134, -p - x = -2*p + 33. Suppose -5*a = -p - 9. What is the remainder when z is divided by a?
4
Let n be (-4)/6*129/(-86). Calculate the remainder when 184 is divided by n/((-5)/2) - 28574/(-910).
29
Let m be -3 + -1 - (-36)/(-9). Let a = 12 + m. Suppose a*y - 56 = -4*x, -3*x - y + 60 = 14. What is the remainder when 47 is divided by x?
15
Suppose -53598*j - 756 = -53602*j. What is the remainder when 305 is divided by j?
116
Let f = -2357 - -3494. What is the remainder when f is divided by 60?
57
Let l = 5731 + -5281. Calculate the remainder when l is divided by 5.
0
Suppose 3*y - 5*u = 918, -1118 - 412 = -5*y + 4*u. What is the remainder when y is divided by 65?
46
Let u = -21755 + 21800. Calculate the remainder when (1 - -266)/((-3)/(-2)) is divided by u.
43
Let p be (-4 - -4) + 2 + 1. Suppose p*i - i - 369 = -w, i - 5*w = 212. Calculate the remainder when i is divided by 47.
46
Let l(i) = i**2 + 4*i + 16. Let n be l(-6). Calculate the remainder when 21/n*68/1 is divided by (13/(-2))/(1/(-4)).
25
Let r(c) = -c**3 + 6*c**2 - 6*c - 3. Suppose 7*n - 3*n = 16. Let w be r(n). What is the remainder when (w - (6 - 2))*67 is divided by 14?
11
Suppose -4*h = 2*b - 104, -5*b + 33 = 3*h - 45. Calculate the remainder when 408/10*-8*(-95)/304 is divided by h.
24
Suppose -10*g = 4*g - 1372. Let a be (-5)/1*(-888)/20. Suppose a = 5*d - g. What is the remainder when d is divided by 22?
20
Let u(b) = 16*b + 111. Let r be u(-5). Suppose 2*l - 4*q - 88 = 0, -2*l - 3*q + r = -92. Calculate the remainder when l is divided by 10.
4
Let b be (-4 - -2) + (3 - -2 -