Let g = -118 - -151. Suppose -2*m = 2*o - 14, 8 = 3*o + 5*m - 15. What is the remainder when g is divided by o?
3
Suppose 2*i = o + 15, -3*o = 2*i + o - 20. Let m = -62 - -81. What is the remainder when m is divided by i?
3
Calculate the remainder when 3/(-6) - ((-471)/2 - 4) is divided by 80.
79
Suppose -276 = -66*j + 62*j. What is the remainder when j is divided by 8?
5
Suppose -4*x - x = 5*z - 40, 0 = -5*x + 3*z. Suppose -5*t + 9 = -4*y + 5*y, 0 = x*y - 12. What is the remainder when t*-4*228/(-19) is divided by 25?
23
Suppose -2*m + 0 = -4*b - 6, -3*b + m - 6 = 0. Let v be -6*(13/b - -3). Suppose 0 = v*c - 3*c - 370. What is the remainder when c is divided by 19?
17
Let j(h) = -h**2 - 3*h + 22. Let g be j(-6). Suppose 5*c = -2*i + 125, -g*i = -i - 15. Suppose 72 = 26*u - c*u. Calculate the remainder when 47 is divided by u.
23
Calculate the remainder when 90 is divided by (-40 - -1)/(27/(-18)) + 0.
12
Suppose -9*v + 18*v = -171. Let h = v + 27. What is the remainder when 30 is divided by h?
6
Suppose -35*k = -40*k + 1480. What is the remainder when k is divided by 13?
10
Let p = -17 - -30. Let z(m) = -m + 36. Calculate the remainder when z(p) is divided by 8.
7
Suppose 2 = -2*a, f + a - 27 = -f. Suppose -55*o - 110 = -60*o. Suppose -o + 346 = 6*g. What is the remainder when g is divided by f?
12
Suppose -3*l = -l - 24. Suppose 6*w = 3*w + 75. Suppose -86 = x - 3*x - 4*q, w = 5*q. What is the remainder when x is divided by l?
9
Suppose 0 = -2*c - 3*t - 95 + 271, -3*c + 265 = 5*t. Calculate the remainder when 331 is divided by c.
76
Suppose -4*a + 185 = a. Suppose 5*c + 95 = -5*o, 10 = c - 3*c + 5*o. Let k = 25 + c. Calculate the remainder when a is divided by k.
7
Suppose 0 = 5*m - 3*y - 157, m - 6*m + 158 = -2*y. Calculate the remainder when 188 is divided by m.
28
Suppose 16 = 4*c - 3*d - 22, -12 = -c + 2*d. Let b be -4*(-4)/c + 28. Suppose 5*o - 165 = b. Calculate the remainder when o is divided by 14.
11
Suppose -c - 5*g + 22 = 0, 4*g + 61 = 4*c - 75. What is the remainder when 57 is divided by c?
25
Suppose -5*z = -3*p + 260 - 56, 327 = 5*p - 4*z. What is the remainder when p is divided by 33?
30
Suppose -3*s - 6 = a, -a + 4*s + 1 = -14. Suppose 5*u + x = 31, -u - a*x = 9 - 4. What is the remainder when 12 is divided by u?
5
Suppose -3*c = 5*m - 754, 327 + 665 = 4*c + 4*m. Calculate the remainder when c is divided by 49.
47
Let j(p) = p**2 - 13*p - 18. Let v be j(-9). Let r = v - -27. What is the remainder when r is divided by 42?
39
Let w(o) = 2*o**2 + 8*o + 1. What is the remainder when w(-10) is divided by 31?
28
Suppose 13*w + 1 = -25. What is the remainder when 2 - (0 - 6 - -2) is divided by w/9 - 116/(-36)?
0
Let h be (1/(-4))/((-4)/464). Suppose -h*m + 32*m - 24 = 0. Calculate the remainder when 23 is divided by m.
7
Let u(j) = j**3 - 9*j**2 + 2*j - 2. Suppose 35 = 5*a + 5*c, -5*c = -3*a + 4*a + 1. Calculate the remainder when 23*-2*(1 + -2) is divided by u(a).
14
Let p(a) = -7*a - 3. Let x be p(-9). Suppose -x = -3*j - 2*s, s + 31 = j - 2*s. Calculate the remainder when 86 is divided by j.
20
Suppose 0 = 6*h - 3*h. Suppose -2*a + h*a = -426. Suppose a = 2*s + 51. Calculate the remainder when s is divided by 28.
25
Let q(c) = c**3 - 16*c**2 - 32*c - 14. Calculate the remainder when 107 is divided by q(18).
49
Suppose -4 = -2*n - 2*c, c = -16*n + 19*n - 10. What is the remainder when 12 is divided by n?
0
Let d(l) = 7*l - 62. What is the remainder when d(16) is divided by 8?
2
Calculate the remainder when 308 is divided by 3*(-2)/(-21)*(1 + 27).
4
Suppose 16*z - 18*z = 28. Calculate the remainder when 94 is divided by ((-4)/2)/(2/z).
10
Let r(x) = 6*x**2 - 14*x - 100. Calculate the remainder when r(-7) is divided by 23.
16
Suppose -p + 6 = 1, -v + 24 = 3*p. Suppose -2*w - 32 = -3*b + 2*w, -2*w = -3*b + 22. What is the remainder when v is divided by b?
1
Suppose -3*t + 15 = 3*b, 3*t - 8*t + 3*b + 25 = 0. What is the remainder when 44 is divided by t?
4
Suppose -4*r = 2*r - 36. Suppose -r*y + 3*y - 141 = -3*a, 0 = -5*y. What is the remainder when 185 is divided by a?
44
Calculate the remainder when (-18*4/(-4))/(4/42) is divided by 48.
45
Let o = 2049 - 2008. What is the remainder when 383 is divided by o?
14
Suppose 1138*c - 1141*c + 723 = 0. What is the remainder when c is divided by 41?
36
Let b = 1323 - 1304. Calculate the remainder when 141 is divided by b.
8
Let r(g) = 4*g - 124. What is the remainder when 210 is divided by r(36)?
10
Let t = 12 - 7. Suppose -o + 127 = t*s + 40, -3*s + 57 = 3*o. Suppose -19*r + 120 = -15*r. Calculate the remainder when r is divided by s.
13
Let l = -7 - -14. Suppose -191 = -l*w - 44. Calculate the remainder when w is divided by 11.
10
Let b(k) = 9*k**2 - 2*k - 2. Let h = 95 - 79. What is the remainder when b(2) is divided by h?
14
Suppose u + 2*k + 2*k = 0, 14 = 4*u + 2*k. Suppose -12 = u*r, 3*z + 2*r = -z + 22. What is the remainder when z is divided by 5?
2
Let t = 38 + -18. Suppose 0 = -3*q + 20 + 10. Suppose -q*b + 5*b = -t. Calculate the remainder when 10 is divided by b.
2
Let r(m) = -m**2 + 22*m - 4. Let n be r(22). Let t = 9 + n. What is the remainder when 7/(-4)*(-2 + -2) is divided by t?
2
Suppose -4*w + 2*m = -17 - 101, 5*m = -3*w + 56. Calculate the remainder when 277 is divided by w.
7
Let m = -23 + 36. Let b(q) = -3*q**2 + 8 - 3 - 9*q + 5*q**2. Calculate the remainder when b(6) is divided by m.
10
Suppose -5*b - 3*w + w = -26, -2*b = 2*w - 14. Suppose -b*m - 12 - 22 = -2*k, 2*m - 25 = -5*k. Calculate the remainder when 27 is divided by k.
6
Let w = 243 - 188. Calculate the remainder when w is divided by 33.
22
Suppose -j + 264 - 20 = 3*b, 2*j - 245 = -3*b. Suppose 3 = -2*g + b. Calculate the remainder when g is divided by 1/(((-3)/14)/(-3)).
11
Let c = 856 - 829. What is the remainder when 103 is divided by c?
22
Suppose 2*p - 56 = -3*h, 6 = h + 3*p - 15. Suppose 3*t - t = h. Suppose c = -0*c + t. What is the remainder when c is divided by 2?
1
Let z = -96 + 135. Calculate the remainder when z is divided by 7.
4
Suppose -2*v + c + 212 = -4*c, -4*v = 4*c - 368. Let g = v - 70. What is the remainder when g is divided by 7?
5
Suppose 3 + 149 = 4*g. Suppose -g*s + 33 = -37*s. Calculate the remainder when 194 is divided by s.
29
Calculate the remainder when 679 is divided by 28/98 - (-278)/7.
39
Suppose 0 = -11*q - 3*q + 1022. Calculate the remainder when q is divided by 13.
8
Let y be 793/7 + (-2)/7. Let q = -32 + y. What is the remainder when q is divided by 60/(-270)*1 + ((-191)/(-9))/1?
18
Let t be 15/((2 - 4) + (-54)/(-26)). Suppose -3*u + 8*u - t = 0. Calculate the remainder when u is divided by 23.
16
Suppose 0 = 4*m - 2*m - 10. Let k = 11 - 5. What is the remainder when 8*(m - 12/4) is divided by k?
4
Suppose -5*x = -1945 + 1435. Let c(m) = 6*m + 3. Calculate the remainder when x is divided by c(3).
18
Let w(d) = 4*d + 66. Let c be w(-10). Let h(b) = b**3 - 4*b**2 - 3*b - 4. Let g be h(5). Suppose 4 = g*m - c. What is the remainder when m is divided by 2?
1
Let d = -178 - -186. What is the remainder when 207 is divided by d?
7
Suppose 0 = 4*u - 4*k - 36, k - 83 = -5*u - 20. Let q = 12 - u. Let d = q + 13. What is the remainder when 102 is divided by d?
11
Suppose 2*c - 4 = 0, 13*s - 16*s + 4*c + 40 = 0. Suppose -k = 4*p - 15, 2*p + 5*k - 16 - 5 = 0. What is the remainder when 3*(-1 + 97/p) is divided by s?
14
Suppose 0 = 5*f + 2*m - 466, 0*m = -5*f + m + 472. Calculate the remainder when f is divided by (-24)/10*(-4 + (-196)/21).
30
Let x(h) be the third derivative of -41*h**6/120 + h**5/20 + h**4/6 + h**3/3 - 12*h**2. What is the remainder when 83 is divided by x(-1)?
41
Let w = 1934 + -1800. Calculate the remainder when 262 is divided by w.
128
Let q(a) = a**3 + 10*a**2 + 5*a. Calculate the remainder when 137 is divided by q(-4).
61
Let d = -69 + 250. Calculate the remainder when d is divided by 48.
37
Suppose 0 = 7*b - 6*b - 234. Suppose 0*w + 3*w - b = 0. What is the remainder when w is divided by 16?
14
Suppose 38*c = 3*b + 35*c - 60, 3*c - 30 = -3*b. What is the remainder when (5/10)/((-1)/(-58)) is divided by b?
14
Suppose 4*a - 2*k + 0*k - 68 = 0, -4*a - 4*k + 68 = 0. Calculate the remainder when 67 is divided by a.
16
Let q(b) = b**2 - 3. Let n(c) = c**2 + 3*c + 