3*s = -z - 389. Let q = 135 + s. Let l = 26 - q. Calculate the remainder when 70 is divided by l.
13
Suppose 5*l + 231 = -3*a, 5*l = -2*a + 4*l - 147. Suppose m = -2*h - 2*m - 101, -4*m - 151 = 3*h. Let i = h - a. Calculate the remainder when i is divided by 7.
2
Suppose 801 - 2243 = -14*f. Suppose -923 + f = -20*s. What is the remainder when s is divided by 15?
11
Suppose -3*h - 39*i = -43*i - 5304, -12 = -4*i. Calculate the remainder when h is divided by 74.
70
Suppose 2*d - 17 = 5*o, 7*o - 3*o - 5*d + 17 = 0. Let f(r) = -22*r + 36. Calculate the remainder when f(o) is divided by 12.
6
Let l(h) = h**3 - 48*h + 1137. Calculate the remainder when l(0) is divided by 32.
17
Suppose -161 = -5*c + 4*u, -c + 156*u - 154*u + 37 = 0. What is the remainder when 34277 is divided by c?
28
Let o(z) = -z**3 - 12*z**2 + 12*z - 12. Let s be ((-12)/(-24))/(((-3)/94)/(-3)). Suppose -3*x + 8 = s. Calculate the remainder when 2 is divided by o(x).
0
Suppose -2*h + 2 = 4*k - 10, k = 2*h - 12. Let z = -148 + 152. Suppose -3*l - 2*a = -a - 41, 4*l - 44 = -z*a. Calculate the remainder when l is divided by h.
3
Let l(w) = -22*w + 8. Calculate the remainder when 461 is divided by l(-5).
107
Suppose -52*f + 9980 = -48*f. Suppose 36*s - f - 9205 = 0. Calculate the remainder when s is divided by 66.
61
Suppose -4*a - 5*y = -5*a - 13, -3*y + 39 = 2*a. Let j = a + -9. Suppose -135 = -4*d - j. What is the remainder when d is divided by 18?
15
Let q = -35 + 89. What is the remainder when 720/q - (-1)/(-6)*2 is divided by 10?
3
Suppose 0 = 130*f - 129*f - 5, 0 = -4*h + 4*f + 320. What is the remainder when 578 is divided by h?
68
Let a(x) = -4 + 5 - 3 - x + 7. Suppose 52 = -18*t + 22*t. Calculate the remainder when t is divided by a(-3).
5
Suppose 4*n = 5*t + 3254, -92*t - 824 = -n - 96*t. Suppose n*g - 812*g - 552 = 0. Calculate the remainder when g is divided by 11.
6
Suppose 15*p = 4*p + 22. Suppose 2*g - 230 + 14 = 4*z, 508 = 5*g - p*z. Calculate the remainder when (0 + g/12)*9*1 is divided by 26.
23
Let x(u) = -5*u + 9. Suppose -370*m + 148 + 42 = -365*m. What is the remainder when x(-7) is divided by m?
6
Let x = 2025 + 4225. What is the remainder when x is divided by 37?
34
Let p(d) = -d**3 + 7*d**2 + 173*d + 8. Let s be p(-10). Let v(f) = -2*f + 3. What is the remainder when 136 is divided by v(s)?
42
Suppose 5*i + 5*b = 6700, 0 = -5*i - 4*b - 616 + 7317. Calculate the remainder when i is divided by 22.
21
Suppose 9*r = 23*r + 2394. Let u = 216 + r. Suppose 3 = 4*s - 29. What is the remainder when u is divided by s?
5
Suppose -4*p - 5*o + 1964 = 478, -5*o - 1790 = -5*p. What is the remainder when p is divided by 31?
23
What is the remainder when 6368 is divided by -33*((-2)/(-10) - 96/80)?
32
Let y(r) = 33*r - 25. Let g be y(9). Let k = g + -140. What is the remainder when k is divided by 68*(-3)/((-12)/2)?
30
Let u(y) = -y**2 - 14*y + 13. What is the remainder when 413 is divided by u(-5)?
7
Suppose 0 = -4*v - 2*b + 26, 3*v - b + 3*b - 21 = 0. Suppose -15 = -t - w, t - v*w + 7*w - 16 = 0. Calculate the remainder when 25 is divided by t.
11
Suppose -5*m = -2*p - 16, m = 2*m - 3*p - 11. Let n be 6/(-2)*((-56)/(-6) - m). Let y(v) = -v - 17. What is the remainder when 17 is divided by y(n)?
2
Suppose 19259 = -252*j + 70163. What is the remainder when j is divided by 71?
60
Let b = 35455 - 24238. What is the remainder when b is divided by 60?
57
Let h(o) = 61*o - 2969. Calculate the remainder when 323 is divided by h(50).
80
Let i = 903 - 693. Let y = 9 + 2. Suppose 0 = 16*g - y*g - i. Calculate the remainder when 123 is divided by g.
39
Suppose 0 = -6*i + 2*r + 2668, 0 = 3*i - 488*r + 490*r - 1346. Suppose -2*h + 2*a + 31 = -h, 4*h - a - 103 = 0. Calculate the remainder when i is divided by h.
21
Let r(c) = -c**3 + 5*c**2 + 23*c + 12. Let n be r(8). Suppose -5*y = 5*o + 5, -y - 3*o = n + 3. Calculate the remainder when 7 is divided by y.
1
Suppose 36 + 39 = 5*c. Let t(v) = 8*v**2 - 10*v + 17. Let h be (-20)/(-70) - 40/(-7) - 3. Calculate the remainder when t(h) is divided by c.
14
Suppose 0 = -l - a + 92, -3*l = 2*a + 107 - 384. Let c(s) = s**3 - 3*s**2 - 2*s + 6. Calculate the remainder when l is divided by c(4).
9
Suppose 5*l + 57 - 2 = 0. Let w(u) = -16*u - 43 + 0*u + 11*u. Calculate the remainder when 80 is divided by w(l).
8
Suppose -k = -3*x - 1 + 10, 0 = -3*x + 12. Suppose 5*j - 58 = j - 3*f, k*j = f + 37. What is the remainder when 88 is divided by j?
10
Suppose 0 = 5*x - 2*o - 30, 3*o + 15 = -0*o. Let c(v) = -2*v + 35. Calculate the remainder when c(x) is divided by 17.
10
Suppose 5 = -3*q + 4*n + 38, q - 3 = 4*n. Suppose 0 = -15*d - 5*d - 80. Calculate the remainder when q is divided by d/120*-86 + (-6)/(-45).
0
Let a be (-330)/(-99) - (-4)/6. Suppose -36 = -2*m - 4*v, a*m + m + 4*v = 66. Let n = 31 - m. Calculate the remainder when 74 is divided by n.
11
Suppose 6*y + 1424 = 22*y. Let b(f) = -2*f**2 + 20*f - 13. Let x be b(11). What is the remainder when y is divided by (-234)/(-10) + 14/x?
20
Let b(i) = i**3 + 5*i**2 + i + 6. Let q be b(-4). Suppose -q*n + 80 = -10*n. Suppose 219 = 4*c + 67. Calculate the remainder when c is divided by n.
8
Let x(t) = 2*t**2 + 7*t. Let w(p) = 4*p + 8. Let j be w(-3). Let h be x(j). Calculate the remainder when 8 is divided by h*2/4 + (-12)/(-4).
3
Let r be ((-351)/6)/1*18. Let h = -558 - r. What is the remainder when h is divided by 31?
30
Suppose 0 = -31*x - 8*x + 468. Let z = -292 + 518. Suppose 5*b = -f + 36, -b + z = 5*f - 2. Calculate the remainder when f is divided by x.
10
Suppose -3*a - 78 = -129. Suppose 25 = -5*r, 2*f - 4 = -r + 11. Calculate the remainder when a is divided by f.
7
Suppose y - 38*a - 704 = -33*a, 5*y + a - 3572 = 0. Calculate the remainder when y is divided by 11.
10
Let t(j) be the first derivative of 65*j**3/3 + j**2 + 316. Let y = 3 - 2. What is the remainder when t(y) is divided by 35?
32
What is the remainder when 1158 is divided by (-56448)/(-315) - (((-32)/(-10) - 2) + -1)?
84
Let d = 4522 + -4476. Calculate the remainder when 309 is divided by d.
33
Let k = -32 - -82. Let i(r) = r**3 - 27*r**2 + 26*r + 9. Calculate the remainder when k is divided by i(26).
5
Let x(w) = 28*w**2 - 80*w + 402. Calculate the remainder when x(6) is divided by 465.
0
Let r(p) = p**3 + 18*p**2 - 16*p + 102. What is the remainder when r(-13) is divided by 34?
33
Let j = 5921 - 5896. Calculate the remainder when 57 is divided by j.
7
What is the remainder when 71 is divided by (50/(-48) - (-2)/(-6))/(173/(-1384))?
5
Let g = -3090 + 3101. What is the remainder when 134 is divided by g?
2
Suppose 2*s + 10*s = 5*s. Suppose s = 6*b - 200 - 118. Calculate the remainder when 528 is divided by b.
51
What is the remainder when 0 - (-31 - 1)*2 is divided by 455/(-1575)*9*-5?
12
Let c(j) = -j**2 + 30*j + 34. Suppose 4*f - 77 = 9*y - 12*y, -y + 39 = -2*f. What is the remainder when 23 is divided by c(y)?
2
Let f(p) = 39*p - 812. Let k(w) = -w**3 + w + 36. Let j be k(0). Suppose -5*h = -106 + j. What is the remainder when h is divided by f(21)?
0
Let i(t) = t**2 + 6*t - 11. Let f(d) = 4*d + 8. Let z = -422 + 428. Calculate the remainder when i(9) is divided by f(z).
28
What is the remainder when (536/6 - -2)*((-26)/4 + 8) is divided by 61?
15
Let a(c) = -c**2 - 69*c - 514. Calculate the remainder when a(-40) is divided by 11.
8
Suppose 22*f - 213 = -2*f + 99. Suppose -5*g = -61 + 21. What is the remainder when f is divided by g?
5
Let r(y) = y + 65. Suppose -256*o - 3*p = -254*o - 614, 5*o - 1640 = 3*p. Calculate the remainder when o is divided by r(0).
62
Suppose 7*o + 16 = 18 + 75. What is the remainder when 5905 is divided by o?
9
Let o = 7591 - 7226. Calculate the remainder when o is divided by 29.
17
Let p(m) = 4*m**2 - 4*m - 19. Let s = -451 - -440. What is the remainder when p(s) is divided by 85?
84
Let s be 3 + 1*(4 + -1). Let o be (-1)/(-2) + (-4030)/(-52). Suppose s*g - o = 78. What is the remainder when 98 is divided by g?
20
Let b(l) = -12*l + 116. Calculate the remainder when 491 is divided by b(2).
31
Suppose 2*o = c + 1, o - 6*o = 2*c - 16. Suppose 3*n + 0 = c*r + 3, -2*r - 2*n + 6 = 0. What is the remainder when r is divided by 1?
0
Suppose -26*h + 768 = -18*h. Suppose -r + 68 = 5*x - 25, 5*x = -2*r + h. S