12. Let x be f(-19). Suppose 0 = -4*j + x*j + 15. Calculate the remainder when 13 is divided by 11 - j/((-10)/6).
5
Suppose -2*s = -m + 23, 21 + 18 = -s - 5*m. Calculate the remainder when -2*-1*(-146)/(-4) is divided by s/(-63) + (-338)/(-18).
16
Suppose 5*w - 1368 = -2*f, -1340 = -3*f + f + 2*w. Suppose 3*q - f + 107 = 0. Calculate the remainder when q is divided by 48.
45
Let q = 1730 + -1028. Calculate the remainder when q is divided by 47.
44
Suppose -s - 3*s - 3*y + 349 = 0, -2*s + 197 = -3*y. Let q = s + -52. What is the remainder when q is divided by 14?
11
Let d = -3 - -9. Let s(j) = -6*j**2 + 2*j + 35. What is the remainder when s(0) is divided by d?
5
Let o(m) = -180*m - 499. Calculate the remainder when o(-5) is divided by 134.
133
Suppose 19 + 17 = 3*g. Suppose 6 = 2*c + 14. Let j = c + 39. What is the remainder when j is divided by g?
11
Let s(f) = -f**3 + 8*f**2 + 19*f + 14. Let q be s(10). Suppose -j - q*z + 16 = j, -4*z + 52 = 5*j. What is the remainder when 93 is divided by j?
9
Calculate the remainder when 119 is divided by 2 - (3/(-15) + 1008/(-35)).
26
Suppose 0*w - 2*w + 8 = 2*s, -5*s - w + 4 = 0. Suppose -25 = -2*y - i + 18, -4*i - 12 = s. What is the remainder when 66 is divided by y?
20
Suppose 154 + 56 = 5*h. Calculate the remainder when 97 is divided by h.
13
Suppose 0 = -0*c - 4*c + 312. Suppose 3*n - 15 = -2*m, -2*n - 3*n + 9 = -2*m. Suppose 0 = -4*o + 83 - m. What is the remainder when c is divided by o?
18
Suppose -24*v + 42*v - 7416 = 0. Calculate the remainder when v is divided by 85.
72
Let m be (-13 - -1)*(-4)/4. Suppose -472 - 80 = -m*h. Calculate the remainder when h is divided by 12.
10
Let g = -471 + 543. What is the remainder when g is divided by 30?
12
Suppose 3*l - 2*k = 324, 3*l - 108 = 2*l - 4*k. Let b = l + -73. Calculate the remainder when 243 is divided by b.
33
Suppose 0*i = -i + 3. Suppose -24 = o - 3*o. Calculate the remainder when 1/(-1) - -51 - i is divided by o.
11
What is the remainder when 69 is divided by 32 - 7 - (2 + -2)?
19
Let f be (8/(-10))/((-6)/15). Suppose 7*q - l = 2*q + 33, f*q + 3*l = 3. Calculate the remainder when (-68)/q*(-6)/4 is divided by 5.
2
Suppose -u = 5*d - 6, 0 = -4*d + u + 3*u + 24. Suppose 2*x - i - 16 = 0, -17 = -5*x + d*x - 2*i. Calculate the remainder when 17 is divided by x.
3
Suppose -w + 33 = -199*s + 200*s, -2*s = 4*w - 58. What is the remainder when s is divided by 145/15 + 2/6?
7
What is the remainder when 1183/5 - 2/(-5) is divided by 48?
45
Suppose 0 = r - 4*j - 14, 3*j - 84 = -5*r - 14. Let w = 61 + -40. Let l = w - r. What is the remainder when l is divided by 2?
1
Suppose -4*v - 53 = -110 - 71. Let r(x) = -x**2 - 7*x + 1. What is the remainder when v is divided by r(-6)?
4
Let v(c) = 2*c**3 - 3*c**2 + 2*c + 2. Let l = 322 - 243. What is the remainder when l is divided by v(2)?
9
Suppose -41*s = 5*s - 460. What is the remainder when s is divided by 7?
3
Let o(l) = 3*l - 2. Let s be o(-3). Suppose 39*i + 1 = 38*i. Let x = i - s. What is the remainder when 57 is divided by x?
7
Suppose -332*u + 268*u + 4864 = 0. Let r(d) = d**2 + 3. Calculate the remainder when u is divided by r(6).
37
Let u be ((-6)/4)/((-6)/(-112)). Let z = u + 43. What is the remainder when 88 is divided by z?
13
Let p(v) = 171*v - 1468. What is the remainder when p(11) is divided by 10?
3
Let g(o) = 6*o**3 + 2*o**2 - 9*o + 13. What is the remainder when g(4) is divided by 79?
77
Suppose 0*k = 3*k - 231. Calculate the remainder when k is divided by 22/(-165) + (-784)/(-30).
25
Let u(c) = c**3 + 5*c**2 - 7*c + 3. Let x = 3 - -2. Suppose 2*z = x*h + 18, -6*z + 22 = -z - h. What is the remainder when u(-6) is divided by z?
1
Let w(a) = -a**2 + 66. Let h = 9 + -9. Let y be w(h). What is the remainder when 1902/y + (-4)/(-22) is divided by 16?
13
Suppose -4*w + 4*o + 43 = 5*o, 0 = 4*o + 4. Let y = 42 + w. What is the remainder when y is divided by 19?
15
Let l = 34 + -16. Let v = -4 + 14. Calculate the remainder when l is divided by v.
8
Suppose 14 = -6*p + 2. Suppose 12 = -2*q - 2*q. Calculate the remainder when 22 is divided by 5 - (p + 4 + q).
4
Let r = -65 - -202. What is the remainder when r is divided by 37?
26
Suppose 5*f - 37 = 13. Let y = f + -9. What is the remainder when 40 - y/(3 + -4) is divided by 14?
13
Let a(r) = -5*r - 40. Calculate the remainder when a(-12) is divided by 6.
2
Let o be (-1)/1*-13 - 0. Suppose 0 = -3*p - 0*u + u + 27, o = p + u. Let q(t) = 3*t**2. What is the remainder when q(-3) is divided by p?
7
Let y be 5/(10/14) - 4. Let x(r) = y*r - 2*r - 6 + 5. What is the remainder when 3 is divided by x(2)?
0
Let w(q) = q**2 + 3*q - 7. Suppose 4*m + 4 = 8. What is the remainder when (-1)/(1*m/(-97)) is divided by w(-8)?
31
Let y(s) = -9*s**2 - 37*s - 17. Calculate the remainder when (-1)/2 + (-69)/(-2) is divided by y(-3).
8
Suppose -b = -2*f - 32, -5*b = -6*b + 5*f + 41. Calculate the remainder when 127 is divided by b.
23
Suppose -114 = -x + 102. Let q be (-6)/15 - x/(-15). Let d = q + -10. Calculate the remainder when 7 is divided by d.
3
Let f(v) = -2 - 5*v + 4*v - 4*v**3 + 5*v**3 - 7*v**2. Let x be f(7). Let o = x + 14. What is the remainder when o is divided by 4?
1
Suppose -16 = -5*c + 124. Let w = 162 + -100. Calculate the remainder when c is divided by w/4 + (-3)/6.
13
Let m = -2102 + 2119. What is the remainder when 679 is divided by m?
16
Suppose g + 4*f - 4 = 0, -4*g + 0*g - 2*f + 16 = 0. Let v = 1 - g. What is the remainder when 23 is divided by 3 + 0 + v + 12?
11
Let w(j) be the first derivative of -j**3/3 - 4*j**2 - j - 19. Calculate the remainder when 59 is divided by w(-4).
14
Suppose 5*j + 13 = 28. Calculate the remainder when 12 is divided by j.
0
Suppose 83*n = 100*n - 5304. Calculate the remainder when n is divided by 45.
42
Let q(l) = 2*l**2 - 7*l + 23. Calculate the remainder when q(4) is divided by 17.
10
Suppose -5*c - 75 = -10*c. Calculate the remainder when 52 is divided by (-6)/(-10) - (-156)/c.
8
Let v(n) be the second derivative of -3*n**2 - n**3 - 6*n + 3*n**2 + n**2. Calculate the remainder when v(-10) is divided by 21.
20
Let n(y) = y**3 + 6*y**2 + 6*y + 4. Let c be n(-5). Let b(k) = 109*k**2 - 3*k - 2. What is the remainder when b(c) is divided by 28?
26
Suppose -4*x - 189 = -3*p, -3*p - 2*x + 51 = -138. What is the remainder when p is divided by 35?
28
Let w(b) = 3*b**2 + 13*b - 98. Calculate the remainder when w(7) is divided by 39.
23
Let r = 139 - 115. Calculate the remainder when r is divided by ((-12)/(-15))/(4/50).
4
Let n(d) = 2*d + 1. Let w(i) = -4*i - 10. Let u be w(-4). Let p = -99 - -148. What is the remainder when p is divided by n(u)?
10
Suppose -2*j = -19 - 1. What is the remainder when ((-3)/2)/(j/(-100)) is divided by (2 - 8/(-4)) + 2?
3
What is the remainder when 204 is divided by 41*(4 - (7 - 4))?
40
Suppose -8 = -4*t - 4, -o + 4*t + 53 = 0. Calculate the remainder when o is divided by 6.
3
Let h(n) = n**3 - n - 2. Let z = 50 - 47. What is the remainder when h(z) is divided by 9?
4
Let n(p) = -4*p**2 + 21*p + 338. Calculate the remainder when n(12) is divided by ((-20)/6)/(3/(-9)).
4
Let l = 10 - 6. Suppose d = 3*r - l*d - 130, -2*r + 82 = -d. What is the remainder when r is divided by 14?
12
What is the remainder when 3/7 + (3409/49 - -7) is divided by 35?
7
Let r = 778 - 573. What is the remainder when r is divided by 39?
10
Let z(f) = f**3 + 7*f**2 + 4. Let c be z(-5). What is the remainder when 77 is divided by 10/12 - (-387)/c?
5
Suppose -5*j + 12 = -2*j. Suppose -2*z + 17 = x, -z = 2*z - j*x + 2. Suppose z + 3 = 4*r - 3*v, 3*v + 3 = 2*r. What is the remainder when r is divided by 3?
0
Suppose 5*b - 61 - 39 = 0. Calculate the remainder when 78 is divided by b.
18
Suppose 6*r - 112 = 116. Suppose 2*m - 222 = -0*m. What is the remainder when m is divided by r?
35
Let b(t) = 3 + 30*t - 6*t - 11 - 29*t**2 + 28*t**2. What is the remainder when 21 is divided by b(23)?
6
Let f = -26 + 30. Calculate the remainder when 1*19*20/f is divided by 32.
31
Let n(t) = -t**3 + 2*t**2 - 7*t - 7. Let w be n(-6). Let y = w + -189. What is the remainder when y is divided by 34?
32
Let l = -399 + 478. What is the remainder when l is divided by 27?
25
Suppose -n + 1004 + 272 = 5*c, -4*c = -4*n + 5080. Calculate the remainder 