 g = -362 + 468. Calculate the remainder when g is divided by 55.
51
Calculate the remainder when 14 + -4 + -7 + 76 is divided by 56.
23
Suppose 0 = -z + 5*z - 8. Suppose 0 = y + 1 + z, 87 = 3*v + y. Suppose -2*u - 3*u = -v. Calculate the remainder when 16 is divided by u.
4
Suppose -r = r - 8. Let w(b) = -4*b**2 - 142*b - 66. What is the remainder when r is divided by w(-35)?
0
Suppose 0 = 30*y - 16*y - 560. Calculate the remainder when y is divided by 32.
8
Suppose -7*n - 3*f + 225 = -5*n, -5*n - 4*f + 559 = 0. Calculate the remainder when n is divided by 33.
12
Suppose 347 = 5*k + 287. Calculate the remainder when 105 is divided by k.
9
Let f = -38 - -46. Let g be 24/4 - (0 - -1). Suppose 5*z = -g*v + 115, 0 = 7*z - 2*z - 25. Calculate the remainder when v is divided by f.
2
Let s(n) = 3*n**3 - 8*n**2 - 10*n + 2. Suppose -408 = -4*t - 4*f, 2*t + 4*f + 376 = 6*t. What is the remainder when t is divided by s(4)?
20
Let p(q) = q**2 - 2*q + 8. Let n(z) = -z - 6. Let l be n(-6). What is the remainder when 31 is divided by p(l)?
7
Suppose -9 + 11 = f, 5*w - 836 = 2*f. What is the remainder when w is divided by 35?
28
What is the remainder when (67 + -28)/(199/98 + -2) is divided by 116?
114
Suppose 65 - 3 = -2*y. Let z = 34 + y. Suppose 5 = 3*x - p, 2 = -3*x + z*p - 1. Calculate the remainder when 11 is divided by x.
2
Suppose 75*h - 79*h = g - 39, -2*h = -6. Calculate the remainder when 137 is divided by g.
2
Let x = -38 + 68. Calculate the remainder when x is divided by (-3)/2*(100/(-6) + 4).
11
Calculate the remainder when (7 - -18)*4*1 is divided by 15.
10
What is the remainder when 32 is divided by (3441/777)/((-1)/14*-2)?
1
Suppose 2*j = -5*g + 3*j + 31, -5*g + 33 = -3*j. What is the remainder when 81 is divided by g?
3
Let d = -106 + 47. Let a = -30 - d. Suppose -5*y + y + 32 = 0. Calculate the remainder when a is divided by y.
5
Let z(m) = -4*m - 8. Suppose 23*i - 28*i = 30. Calculate the remainder when 175 is divided by z(i).
15
Let i be 4/(-3)*147/(-14). Suppose -4*m - 4 = -3*m, -x = 4*m - i. Calculate the remainder when 117 is divided by x.
27
Suppose -4*f + 4*y + 20 = 0, -4*f - 436 + 456 = -y. What is the remainder when 470 is divided by f?
0
Let n be -1 - (-1 + -3 + 1). Suppose -n*g + 78 = 4*g. Calculate the remainder when 50 is divided by g.
11
Suppose -5*s + 71 = 3*k, 6*s + 118 = 4*k + s. What is the remainder when 77 is divided by k?
23
Let i = 3 + 2. Suppose 5*p - 4*r = -3*r + 88, -i*p + 82 = r. Calculate the remainder when 66 is divided by p.
15
Let i(u) = -2*u - 27. Calculate the remainder when i(-47) is divided by 28.
11
Suppose -2*s - 2 = -3*z - 34, -5*z = -10. What is the remainder when 75 is divided by s?
18
Let h = 11 - -1. Suppose -15 = -15*x + h*x. Calculate the remainder when 44 is divided by x.
4
Let i(t) = 3*t**2 + 8*t + 3. Let x be i(-3). Suppose -x*d - 21 + 63 = 0. Calculate the remainder when 9 is divided by d.
2
Let b = 46 - 38. Let d(n) = n**3 - 9*n**2 + 10*n - 16. Let q be d(b). Suppose q = -2*s + 67 + 11. Calculate the remainder when 154 is divided by s.
37
Suppose -5*s - 32 = -2*x + 45, 0 = 3*x - 4*s - 126. Calculate the remainder when (4344/18)/4*(1 - -2) is divided by x.
43
Suppose 0 = 3*s + 2*s + 20, 3*c + 3*s = 0. What is the remainder when 67 is divided by c?
3
Let n = 80 - 82. Let t(g) be the second derivative of g**4/6 + g**3/6 - g**2/2 + g. Calculate the remainder when 14 is divided by t(n).
4
Suppose 13 + 5 = 6*s. Suppose -42 = -a - 5*h, 80 = -5*a - 4*h + 206. What is the remainder when a is divided by s?
1
Let l(q) = -q**3 - q + 63. Calculate the remainder when l(0) is divided by 22/(-132) - (-2 + 170/(-12)).
15
Let y = -50 + 55. What is the remainder when 42 is divided by y?
2
Suppose 5*r + 35 = 80. Suppose r*j = -0*j + 90. Let o = 13 - -35. Calculate the remainder when o is divided by j.
8
Suppose -a - 4*a = -70. Let s be 7/(a/32) - 2. Suppose -3*p + 10 = -4*d, 0*p + 2*p - s = -d. What is the remainder when p is divided by 2?
0
Suppose 3*x + 4*i = 4*x - 76, 2*i = 4*x - 234. Calculate the remainder when 174 is divided by x.
6
Let r(m) = -m + 36. Calculate the remainder when 91 is divided by r(8).
7
Let h(q) = 30*q - 2. Let a = 47 + -44. What is the remainder when h(2) is divided by 20*(a/(-4))/(-1)?
13
Let i be (-3)/12 - 69/12. Let k(d) = d + 9. Let z be k(i). Suppose -z*y = -3 - 18. What is the remainder when 20 is divided by y?
6
Let m(v) = v**3 - 2*v**2 - 5*v + 5. Let o be m(3). Let s(n) = -17*n**3 + 2*n**2 + n + 1. Calculate the remainder when s(o) is divided by 10.
9
Let n = 677 - 663. Calculate the remainder when 52 is divided by n.
10
Let v be 35 - 2/(-4)*6. Let y = v - 26. Suppose -m - m = -y. Calculate the remainder when 9 is divided by m.
3
Let f = 630 + -567. Calculate the remainder when 311 is divided by f.
59
Suppose -5*i = -2*c + 3, 0 = -5*i - 3*c - 0*c - 8. Let d be 4 - (18 - (-4)/i). Let y = 22 + d. Calculate the remainder when 35 is divided by y.
11
Let l = -1204 - -1223. What is the remainder when 208 is divided by l?
18
Let x(c) = -2*c**2 - 23*c + 1. Calculate the remainder when 453 is divided by x(-11).
9
Let d(f) be the third derivative of f**5/60 - f**4/6 + f**3/6 + 2*f**2. Let c be d(4). Calculate the remainder when 75 is divided by 13 + (-1)/c + 1.
10
Let m(q) = q**3 - 9*q**2 - 2*q + 10. Let f be m(8). Calculate the remainder when (-30)/f + 144/7 is divided by 18 - 4 - 2*1.
9
Suppose 0 = 5*l - 3*h - 375, -2*l + 33 = -h - 116. What is the remainder when l is divided by 20?
12
Let a(b) = -b + 2. Let v be a(0). Suppose -3*r + 195 = v*r. What is the remainder when r is divided by 21?
18
Suppose 0 = -156*u + 144*u + 2052. Calculate the remainder when u is divided by 95.
76
Suppose -3*u + 0*u + 15 = 0. Suppose -9*j = -u*j - 96. Suppose 2*b - 221 = -5*z, 2*z + 406 = 4*b + j. Calculate the remainder when b is divided by 25.
23
Suppose -14*s - 1246 = 56. Let y = -44 - s. What is the remainder when 144 is divided by y?
46
Let u = -219 + 260. Calculate the remainder when 65 is divided by u.
24
Let z be 2/(-2)*(5 + -6). Let o be (2 - 3)*z + 8. Calculate the remainder when 9/(-21) - (-24)/o is divided by 2.
1
Suppose 132 = 8*v - 596. Let l = v + -76. Calculate the remainder when 55 is divided by l.
10
Let g = 1614 + -1448. What is the remainder when g is divided by 48?
22
Suppose -105 = -12*n + 7*n. Suppose -n = -3*o + 3. Suppose 2*x = -z - x + 25, 2*x + 82 = 2*z. Calculate the remainder when z is divided by o.
5
Let m = -59 + 157. Suppose 0 = 4*q + d - 78, 0 = q - 6*q - d + m. Calculate the remainder when q is divided by 11.
9
Let f = 109 - 31. Suppose 2*z + 32 = f. Calculate the remainder when 43 is divided by z.
20
Let i(x) = -x**3 - 18*x**2 - 37*x - 39. What is the remainder when i(-16) is divided by 23?
18
Suppose 0 = 10*i - 7033 + 3823. What is the remainder when i is divided by 23?
22
Suppose -10*w = -16 - 4. Suppose 0 = 2*f - w*u - 40, 0*f = 4*f - 5*u - 80. Calculate the remainder when f is divided by 11.
9
Suppose -2*l + 16 = -6*l. What is the remainder when 49 is divided by 2/l*40/(-2)?
9
Let x = 79 - 79. Suppose 4*j - 28 + 208 = l, j = l - 168. Suppose x = -3*b + 7*b - l. What is the remainder when b is divided by 11?
8
Let b be ((-1)/(-3))/(7/672). Suppose -17*x = -16*x - b. What is the remainder when 62 is divided by x?
30
Let s be (-5 + 1)/8*-218. Let o = -62 + s. What is the remainder when o is divided by 25?
22
Suppose 5*g + 6 + 31 = 4*z, 3*g + 4 = z. Suppose 6*k + o = 3*k + 100, 0 = -5*k - 3*o + 164. What is the remainder when k is divided by z?
8
Suppose -43 + 211 = 6*v. Let x = -19 + v. Calculate the remainder when 34 is divided by x.
7
Let k(i) = -20*i - 8. Let l be k(-16). Suppose 3*s - l = -4*t, 0*s + 441 = 4*s - 3*t. What is the remainder when s is divided by (107/(-2) + -2)*(-40)/60?
34
Let b = -10 - -8. Calculate the remainder when 270/5*(b - (-14)/4) is divided by 28.
25
Suppose 5*p + 1579 = 1719. Calculate the remainder when 78 is divided by p.
22
Let w(k) = -6 - 6 - k**3 - 6*k**2 - 2*k + 0 - k. Let s be w(-7). Suppose 2 = -4*v + s. What is the remainder when v is divided by 3?
2
Let q(d) = d**2 - 5*d - 6. Let g(r) = -r**2 + 0 + 0*r + 1 + 2*r**2 + r. What is the remainder when g(3) is divided by q(7)?
5
Let y(s) = 2*s**2 - 2. Let d = 196 + -223. Calculate t