+ 12. Let d be j(-6). Suppose 2*n = -2*k + d, 2*n = 5*k + n - 282. What is the remainder when k is divided by 32?
24
Suppose 0 = -5*c - 4*z - 6 + 5, 3*c = z + 13. Suppose -3*n = -3 + 6, -4*n = i - 5. Calculate the remainder when (-6 - c)*(-24)/i is divided by 7.
3
Suppose -3*b = 2*y - 6, -29*y - 5*b = -24*y - 25. Let f = 9 - -1. Suppose y*n + 28 = f*n. Calculate the remainder when 81 is divided by n.
25
Let b(f) = -f**3 + f**2 + 3*f - 2. Suppose 3*t + 243*g = 239*g + 123, 3*t - 129 = -2*g. Calculate the remainder when t is divided by b(-3).
20
Let g(l) = 3*l + l**3 - 5*l + 6*l**2 + 2*l - 10. Let v be g(-5). Suppose 0*j = 3*j - v. Calculate the remainder when 28 is divided by j.
3
Let l = -1657 + 1937. What is the remainder when l is divided by 57?
52
Let r = 0 + 15. Let t = -106080 - -106106. What is the remainder when t is divided by r?
11
Let l = -399 + 644. Let i = -230 + l. What is the remainder when 148 is divided by i?
13
Suppose -23*k + 5*k = 36. Let j(v) = 2*v**2 + 2*v. Calculate the remainder when 924/16 - (k/8 + 0) is divided by j(-3).
10
Let x = 12429 + -12349. What is the remainder when 196 is divided by x?
36
Let l(p) = 2*p**2 + 9*p + 2. Let c(m) = 4*m + m + 6*m + 2 + 4*m. What is the remainder when c(9) is divided by l(-6)?
17
Let h(d) = 18*d**2 + d - 1. Let a(o) = -o**3 - 156*o**2 - 1188*o - 583. What is the remainder when h(-2) is divided by a(-148)?
6
Let j be (2 - 1/(-2))*12/10. Suppose -j*s = -4*y - 78, s - 5*y = -10*y + 7. What is the remainder when s is divided by 17?
5
Let u(b) = b**2 + b + 2. Let i(o) = o**2 - 4*o + 41. Let v be i(0). Suppose -v*p + 3*p = -836. What is the remainder when p is divided by u(3)?
8
Suppose -3*b = -4*l + 491, 44*l - 49*l + 4*b = -615. Let u(a) = -3*a + 21. What is the remainder when l is divided by u(3)?
11
Let c be ((-336)/196)/((-2)/378). Let v = c - 229. Calculate the remainder when v is divided by 48.
47
Suppose -2*l - 5*u + 452 = 0, 167*u - 888 = -4*l + 165*u. What is the remainder when l is divided by 8?
5
Suppose 0 = -12*t + 8*t - 9600. Let a(s) = 2*s**2 - s + 6. Calculate the remainder when 6/5*t/(-36) is divided by a(3).
17
Suppose 2*w = -5*p + 697, -p + 16*w - 12*w = -157. Calculate the remainder when 435 is divided by p.
12
Suppose -25*h - 3 + 3 = 0. Suppose 5*a - 2*a - 3*b - 156 = h, -a + 3*b = -44. Calculate the remainder when 210 is divided by a.
42
Let m = 16046 - 16045. Let u = -8 - -1. Let g = u - -17. What is the remainder when g is divided by m?
0
Let s(h) = 2*h**3 - 2*h**2 - 142*h + 20. Let b = -12 - -25. Calculate the remainder when b is divided by s(-8).
1
Suppose 2*t - 234 - 214 = -n, -4*t + 3*n = -906. Let r = t + -178. Let l(y) = y + 2. What is the remainder when r is divided by l(6)?
7
Suppose 0 = 5*d + 74 - 24. Let g = d + 24. Suppose -3*p - x + 84 = 0, -7 + 22 = 5*x. Calculate the remainder when p is divided by g.
13
Suppose -200 = -3*d - 5*x - 106, -4*x - 104 = -4*d. What is the remainder when 531 is divided by d?
27
Suppose -28*p - 3090 = -58*p. Suppose 70 - 18 = 2*x. What is the remainder when p is divided by x?
25
Let k = 431 + -427. Suppose 0 = 5*v - k*w + 5, 0*v + v + 2 = w. Calculate the remainder when 18 is divided by v.
0
Let n be (2/4)/((44/(-144))/11). Let z = 24 + n. Let t(a) = -a + 15. What is the remainder when 14 is divided by t(z)?
5
Let p(g) = g**3 - g + 4. Let d be p(0). Let f(i) = -3*i**2 + 113*i - 177. Let r be f(36). Calculate the remainder when 232/(r*d/6) is divided by 20.
16
Suppose 0 = -122*k + 90599 + 102527. Calculate the remainder when k is divided by 157.
13
Let y be (-135)/(-18)*(-4)/3. What is the remainder when (-4)/y + (-15433)/(-55) + 1 is divided by 71?
69
Let b be 9170/175 + (4/(-10))/1. Let w = b + 40. Suppose -4*g - 6 + 82 = 0. Calculate the remainder when w is divided by g.
16
Let f = 331 - 313. Suppose 4*u = f*n - 16*n + 208, 5*u - 274 = -n. What is the remainder when 155 is divided by u?
47
Let b = -15979 + 16250. What is the remainder when 296 is divided by b?
25
Let m = 918 - 128. Calculate the remainder when m is divided by 159.
154
Suppose -4*f = -o + 2*o - 10, -o + 4*f + 50 = 0. Suppose 3*l - 3749 = -19*l - 405. What is the remainder when l is divided by o?
2
Let x = -142 + 26. Let d = x - -184. Let k = -6 + d. Calculate the remainder when k is divided by 32.
30
Suppose -2*s + 5*d + 49 = 0, -8*s = -7*s - 2*d - 25. Suppose 3*y = -3*l + 39, 2*l - 4*l - y = -22. Calculate the remainder when s is divided by l.
0
Let q(r) be the first derivative of r**3/3 + 4*r**2 + 27*r - 67. What is the remainder when 106 is divided by q(-3)?
10
Let y be ((-12)/(-9))/(2/276). Suppose 4*d - y = 2*d. Let a = 70 + -39. Calculate the remainder when d is divided by a.
30
Suppose -44 = -3*b - 2*o + 188, 0 = -2*o + 10. What is the remainder when 269 is divided by b?
47
Let o(z) = 25*z**2 + 168*z - 169. Calculate the remainder when (44 - 3) + 1/1 is divided by o(1).
18
Let q(i) = i**3 - 3*i**2 + 2*i + 1. Let m be q(2). Calculate the remainder when 15 is divided by (2*-2)/m + 2 + 14.
3
Let t(x) = x**3 - 4*x**2 - 6*x - 6. Let p(w) = -260*w - 3584. Calculate the remainder when p(-17) is divided by t(6).
26
Let q = -21 - -26. Let f = 10 - q. Suppose -5*o + 6*j = 4*j - 86, -j + 92 = 5*o. What is the remainder when o is divided by f?
3
Suppose 5*c = 4*a + 454, -a = 5*c - 482 + 8. Let m(n) = -4*n - 8. Calculate the remainder when c is divided by m(-6).
14
Let n(x) = 5*x**2 + 132*x - 1452. What is the remainder when n(9) is divided by 29?
25
Let b = 12 - 16. Let j be 3 + 1*(b + 1). Let x(q) = q**3 - q**2 + 2*q + 3. Calculate the remainder when x(j) is divided by 1.
0
Suppose 28*p - 31*p = -4*c + 98564, 0 = 2*c - 2*p - 49280. Calculate the remainder when c is divided by 7.
4
Suppose 16*c - 21*c - 40 = 0, 0 = -5*i - 3*c + 31. Calculate the remainder when 510 is divided by i.
4
Let b(j) = 1 - 3 - 4 - 5 - 4*j. Let q be b(-9). Suppose 0 = 7*o - q - 101. Calculate the remainder when o is divided by 10.
8
Let x = -135 + 241. Suppose 4*j - x = -5*s + 4*s, 4*j = 3*s + 98. Suppose -5*g - j + 1 = 0, 2*c = -3*g - 1. What is the remainder when 19 is divided by c?
5
Let j(s) = -273 + 15*s + 549 - 278. Calculate the remainder when 80 is divided by j(2).
24
Suppose -5*i + 6 + 8 = 2*p, -5*i + 2*p = -6. Let h = 82 - 70. What is the remainder when -95*((-1 - i) + 2) is divided by h?
11
Let u(v) = -10*v**2 + 9*v + 5. Let o be u(-3). Let m = o + 115. Suppose 0 = -p, -20 = -2*j + p + m*p. Calculate the remainder when j is divided by 7.
3
Let f(m) = -m**3 - 5*m**2 - 10*m - 93. Let h(y) = y**3 - 8*y**2 - 6*y - 1. Calculate the remainder when f(-7) is divided by h(9).
23
Suppose 0 = 2*l + g, 5*l - 8*l - g = -2. Suppose l*u = -12*u + 266. Calculate the remainder when 56 is divided by u.
18
Let g be 1662/(-24) + (10/(-8))/(-5). Let b = 83 + g. Suppose 0 = 4*p - 2 - b. What is the remainder when 19 is divided by p?
3
Suppose 4*c + 1634 = 2*m, 4*m - c - 3*c = 3256. Suppose -807*t + m*t = 84. Calculate the remainder when 60 is divided by t.
18
Let r(j) = j**2 - 7*j - 23. Let w be r(-2). Let a(s) = -s**3 + 1 + 0 - 2*s**2 - 6*s + 4*s. What is the remainder when a(w) is divided by 30?
26
Let l = -41 + 60. Suppose -85 = 19*t - 82*t + 356. Calculate the remainder when l is divided by t.
5
Let j(g) be the third derivative of -g**6/120 + 9*g**5/20 + 3*g**4/8 - 8*g**3 - 125*g**2. Calculate the remainder when j(27) is divided by 28.
27
Suppose -186*q + 16200 = 84*q. Calculate the remainder when 182 is divided by q.
2
Suppose 50*x - 140 = 30*x. Let v(f) = -7 - 15 + 5*f + 0*f. Calculate the remainder when 48 is divided by v(x).
9
Suppose 9*o + 93 = -222. Calculate the remainder when 70 is divided by (30 - 0)/((-70)/o).
10
Let r = 210 - 176. Suppose 6*x - 92 = r. Let f = -41 + 81. Calculate the remainder when f is divided by x.
19
Let i(z) = z**2 + 10*z - 24. Let d be i(-12). Suppose d = 2*n - n - 22. What is the remainder when 196 is divided by n?
20
Suppose 362*h + 9652 - 71518 = 2932. What is the remainder when 1321 is divided by h?
68
Let c = -24 - -27. Suppose 0 = 4*x - 0*x - 84. Calculate the remainder when (3/(-2))/(c/(-198)) is divided by x.
15
Suppose -4*t = -558 + 136 - 50. Calculate the remainder when 363 is divided by t.
9
Suppose 28*r + 492 = 64*r - 30*r. What is the remainder w