 3*p + 2*p, 3*t - 3*p = 816. Let d = t + -117. Calculate the remainder when d is divided by 39.
34
Suppose 87 = 5*w + 2. Suppose 2*h - 98 = 20. Suppose -3*j = 5*t - h, 4*t + 0*t = -4*j + 52. Calculate the remainder when w is divided by t.
7
Let z = -16 + 45. Let r = 70 - 66. Suppose 84 = 4*o + 4*a - 132, r*a - 48 = -o. What is the remainder when o is divided by z?
27
Let p = -871 - -952. Suppose -233 = -3*x + 25. Suppose 0 = -2*d - w + 41, -4*d + w + x = -w. Calculate the remainder when p is divided by d.
18
Let z(m) = m**2 + 6*m + 12. Let k be z(-5). What is the remainder when ((-22)/8)/(k/(-140)) is divided by 4?
3
Suppose -30*u - 240 = -45*u. Suppose 2*x + 2 - 28 = 0. Calculate the remainder when u is divided by x.
3
Let q(u) = u**3 + 6*u**2 + u + 17. Calculate the remainder when 58 is divided by q(-5).
21
Suppose 2*w + 6 = -2*w - 2*k, 9 = -w - 3*k. Let b(a) = a**2 + 9. Let x = -617 + 652. Calculate the remainder when x is divided by b(w).
8
Let n = 188 + -186. Calculate the remainder when 6 is divided by n.
0
Suppose 5*m - 2*g = 105, -2*m + 3*g + 148 = 5*m. Calculate the remainder when 208 is divided by m.
18
Let r(o) = o**2 - 10*o + 39. What is the remainder when 62 is divided by r(9)?
2
Suppose -n - 428 + 582 = 0. Calculate the remainder when n is divided by 72.
10
Suppose 2*q + 5 = -m, -4*q - 4 = -3*m + 31. Suppose -r = 5*o - 25, m*o - 5*r + 20 - 75 = 0. What is the remainder when 10 is divided by o?
4
Let j(q) = q - 3*q + 2 + 4*q**2 + q - 3*q**2. Calculate the remainder when 15 is divided by j(-2).
7
Let k = 210 - 167. Calculate the remainder when 144 is divided by k.
15
Let g = -150 - -254. Let m(n) = n**3 - n**2 - 4*n + 12. Calculate the remainder when g is divided by m(3).
14
Suppose 8*w - 4859 = -35*w. Suppose 66 = 4*v - 10. What is the remainder when w is divided by v?
18
Let x be (-8)/(-2) + -2 + 0. Suppose -3*f = 3*o - 30, -o - f - 4 = -2*o. Let z = o + x. What is the remainder when 24 is divided by z?
6
Suppose 3*r + 5*j = 123 + 20, -r + 3*j + 29 = 0. Calculate the remainder when r is divided by 41.
0
Let q(u) = -u**3 - 16*u**2 - 18*u - 34. Calculate the remainder when 53 is divided by q(-15).
9
Let g(m) = m**3 - m - 1. Let w be (0 + 4/10)*5. Suppose 0 = w*a - 6 + 2. Calculate the remainder when 19 is divided by g(a).
4
Suppose -k + 5*a - 26 = 0, -3 = k + a - 1. Suppose -3*t + 11 = 2*y - 13, -3*y + 14 = -t. Calculate the remainder when 76/k*(-9)/y is divided by 11.
8
Let w = -289 + 325. What is the remainder when w is divided by 11?
3
Suppose 5*j - 196 = -2*g, g - 2*j = -6*j + 92. Calculate the remainder when g is divided by 57.
51
Let q(h) = -2*h**2 + 19*h + 4 + h**2 - 5*h. What is the remainder when q(7) is divided by 18?
17
Let u = -7 - 0. Let z(b) = -b**3 + 3*b**2 - b + 1. Let n be z(3). Let k = n - u. What is the remainder when k is divided by 3?
2
Suppose 2*t - 7*t = -p - 2577, 0 = 2*t + p - 1028. Calculate the remainder when t is divided by 47.
45
Let d = 134 - 124. Suppose 8 = -4*l, 2*a + 3*l - 679 = -3*a. What is the remainder when a is divided by d?
7
Let h(r) = r - 27. Let q(n) = 1. Let v(i) = -h(i) + 3*q(i). Calculate the remainder when v(10) is divided by 11.
9
Suppose 0 = 3*z - 14 - 4. Suppose 59 - 5 = z*i. Let y = 22 - 5. What is the remainder when y is divided by i?
8
Suppose -33*f + 22*f = -154. Let n = 69 + -42. What is the remainder when n is divided by f?
13
Suppose -3*f + 2*w = -4*f + 23, 3*w = -2*f + 42. Calculate the remainder when (-1)/(10 + 3201/(-319)) is divided by f.
14
Suppose 0 = 3*a + 3*k - 21, 13 = 4*a + 4*k - 3*k. Suppose -a*y + 3 = -1. Suppose 2*o - 2 = y. Calculate the remainder when 6 is divided by o.
0
Let n(i) = 13*i - 7 - 9*i + 9*i. Let p be n(3). Suppose 5*d - d - p = 0. What is the remainder when d is divided by 3?
2
Suppose 8 = 19*f - 11. Suppose 7 = -4*s + 15. Calculate the remainder when 41 is divided by (-3 - (f - s)) + 13.
8
Let k be 4/4 + 0 - (2 + 43). What is the remainder when 43 is divided by (k/12*-9)/(3 - 0)?
10
Suppose -2*q + 5*f - 40 = 0, -5*q + 6*f = f + 115. Let a = 19 - q. Calculate the remainder when a is divided by 24.
20
Suppose 2*h - 26 = -4*c, 0*h - h + 33 = -2*c. What is the remainder when 66 is divided by h?
20
Let h(x) = -15*x - 12. Let r be h(-5). Suppose -5*g + r = -2*g. Let z = 23 + -11. Calculate the remainder when g is divided by z.
9
What is the remainder when (-1)/(-7)*(1035 - 76) is divided by 48?
41
Suppose -m + 1 = -3, y - 3*m = 3. What is the remainder when 182/5 - (12/y)/2 is divided by (-26)/(-2 + 4)*-1?
10
Let a be (-12)/10*(-15)/6. Suppose 20 = l + 4*s, 59 + a = 4*l - 2*s. Suppose 0*f + l = 2*f. Calculate the remainder when 29 is divided by f.
5
Let k be (-1 + -2 + 12)*(6 - 5). Let j(m) = m**3 - 10*m**2 + 8*m + 11. What is the remainder when 2 is divided by j(k)?
0
Suppose -27*k = -38*k + 44. Suppose 0 = -4*p + 5*a + 54 - k, -2*a = -4. Calculate the remainder when 176 is divided by p.
11
Suppose 0 = -16*o + 392 + 280. Calculate the remainder when 164 is divided by o.
38
Suppose -2*n = -n - 10. Calculate the remainder when (-5)/n - (-165)/2 is divided by 12.
10
Let d be (140 - -1)/(3/(-12)). What is the remainder when (-1)/(-3*(-2)/d) is divided by 32?
30
Suppose 5*n - 110 = -5*v, n + 89 = 6*n - 2*v. Let o = 63 - -27. What is the remainder when (-20)/o + (-1012)/(-18) is divided by n?
18
Let x(v) = 14*v**2 - 69*v + 56. Calculate the remainder when x(9) is divided by 143.
140
Suppose -2 - 8 = 5*f. What is the remainder when 21 is divided by (-148)/(-12) - f/3?
8
Let c(r) = r**3 + 10*r**2 + 2*r - 7. Let s be c(-6). Let w = s + -73. What is the remainder when w is divided by 9?
7
Suppose 132 = -5*x + 1192. Suppose 12*t = 8*t + x. Calculate the remainder when t is divided by 19.
15
Let y(g) = 74*g - 434. Calculate the remainder when 1047 is divided by y(6).
7
Let j(z) = z**2 + 9*z + 13. Let b be j(-9). Let c = 55 - b. What is the remainder when c is divided by 11?
9
Let d be (-26)/(-91) - 4994/(-14). Calculate the remainder when 27 is divided by ((-8)/(-6))/(34/d).
13
Let d = 1049 - -69. Calculate the remainder when d is divided by 40.
38
Let z = -695 - -707. What is the remainder when 43 is divided by z?
7
Suppose 157 = 4*v - 2*q - q, -4*q - 36 = -v. Let a(h) = 4*h**3 - 5*h**2. What is the remainder when v is divided by a(2)?
4
Suppose -4*z = 8*f - 3*f - 515, 0 = -3*f + 5*z + 346. Calculate the remainder when 855 is divided by f.
106
Suppose 4*h - 64 = -5*l + 21, -4*l + 69 = 3*h. Calculate the remainder when l is divided by 11.
10
Let d = 352 - 210. Suppose 4*q = -g + 3*q + 78, -2*q = -2. Calculate the remainder when g is divided by d/7 - (-6)/(-21).
17
Let d(v) = -v**2 + 17*v - 52. What is the remainder when 71 is divided by d(8)?
11
Let d(i) = 5*i**3 + 3*i**2 + 8*i - 37. What is the remainder when d(3) is divided by 10?
9
Let l = -3 - -14. Let n = -204 + 207. What is the remainder when l is divided by n?
2
Let d(k) = 9*k**2 + 4*k - 2. Let x = 55 + -15. What is the remainder when d(4) is divided by x?
38
Calculate the remainder when (-8728)/(-72) + 4/(-18) is divided by (-2)/(-3) + 73/3.
21
Let u(a) = -a**3 + 14*a**2 + 2*a - 7. Let p be u(6). Suppose -p = n + 17. What is the remainder when ((-36)/(-30))/((-3)/n) is divided by 18?
16
Let h(n) = n**3 - 35*n**2 + 36*n - 29. Calculate the remainder when h(34) is divided by 4.
3
Let n be 3*2/2 - (0 + -2). Suppose -4*x = t - 59, n*x = 4*t - 8*t + 181. Calculate the remainder when 115 is divided by t.
37
Suppose 0 = -10*f + 4739 - 1479. What is the remainder when f is divided by 85?
71
Suppose -3*n - 48 = -7*n. Suppose -m + n = -3*m. What is the remainder when m/(-1)*(5 - -2) is divided by 15?
12
Let f(z) be the second derivative of 1/12*z**4 + 5*z + 3*z**2 + 1/20*z**5 + 0 - 5/6*z**3. Calculate the remainder when f(3) is divided by 7.
6
Let x(f) = -13*f - 4. Let d(k) = -53*k - 15. Let q(j) = -2*d(j) + 9*x(j). Calculate the remainder when q(-2) is divided by 6.
4
Suppose -4*k + 720 = -96. Let m = k + -113. What is the remainder when m is divided by 48?
43
Let z(f) = f**3 - 8*f**2 + 2*f - 6. Let g be z(8). Let w = g + -1. Let l = w - -13. What is the remainder when 87 is divided by l?
21
Suppose s + 4*s = -4*b + 630, -b + 371 = 3*s. What is the remainder when 256 is divided by s?
12
Let q(h) = 2*h - 4*h**3