58 + 63 = 0. Let t = -100 + k. Let x = t - -47. What is the remainder when 45 is divided by x?
9
Suppose -118*p + 11*p + 6720 = 5*p. Let b(y) = -y**3 - 7*y**2 - 8*y - 1. What is the remainder when p is divided by b(-6)?
5
Suppose 7*g = 3*g + 76. Calculate the remainder when 2107/28 - 1/4 is divided by g.
18
Let u(o) = 177*o + 309. What is the remainder when u(2) is divided by 35?
33
Suppose -77*q + 43*q + 850 = 0. Let d = 16 + -9. Calculate the remainder when q is divided by d.
4
Suppose -142*y + 60 = -139*y. Let u(p) = p**2 - 2*p + 1. Let a be u(5). Let i = 23 - a. Calculate the remainder when y is divided by i.
6
Let p(u) = -4*u**3 - 7*u**2 - 3*u - 5. Calculate the remainder when 23 is divided by p(-2).
3
Let t(j) = 39*j - 80. Calculate the remainder when t(5) is divided by 59.
56
Let c be ((-14)/(-6) - 3)*-3. Calculate the remainder when (-20)/10 - (-34)/c is divided by 6.
3
Suppose -33 = -i - 2*i. Suppose 70 = 5*m - 50. What is the remainder when (90/m)/(2/16) is divided by i?
8
Suppose 10*l + 386 = 1866. What is the remainder when l is divided by 40?
28
Let c(v) = 43*v + 436. What is the remainder when 361 is divided by c(-8)?
85
Suppose -5*u + 6*y + 92 = 2*y, 4*u - 70 = 2*y. Suppose -u = 5*o - 56. What is the remainder when 23 is divided by o?
7
Let o = 151 + -138. Let j(v) = 8*v**2 + 0*v**2 - 1 + 5. What is the remainder when j(-3) is divided by o?
11
Let l = 808 + -777. Calculate the remainder when 112 is divided by l.
19
Let t = 947 - 877. What is the remainder when t is divided by 6?
4
Suppose 0 = 4*q + 6 - 18. Suppose -242296 = -17*n - 242075. Calculate the remainder when n is divided by q.
1
Suppose -13 = -10*s + 127. Calculate the remainder when 41 is divided by s.
13
Suppose 4*k - 70 = 22. What is the remainder when 158 is divided by k?
20
Let w = 1364 + -1328. What is the remainder when 358 is divided by w?
34
Let j be ((-132)/10)/((-5)/25). Suppose 2*l + 78 = b + 6*l, 0 = -b - l + j. Let m = 33 + -20. What is the remainder when b is divided by m?
10
Let f be (-56)/(-2) + -5 + 9. Suppose 4*b + 6 = 2*l - 26, -2*l - 4*b + f = 0. What is the remainder when 29 is divided by l?
13
Let m = 569 - 186. Let n = m + -223. Calculate the remainder when n is divided by 27.
25
Suppose -7*j - 177 = -842. What is the remainder when j is divided by 26?
17
Suppose 0 = f + 2, w = -f - f - 8. Let d = 6 + w. Calculate the remainder when 2 is divided by d.
0
Suppose -5 = -10*l + 15. Calculate the remainder when 5 is divided by (-4)/(l + 2) - -4.
2
Let l(f) = -66*f + 5. Suppose 2*u = 2*j + 2, 2*u - 7*u + 3*j - 5 = 0. Let r be l(u). Let w = -188 + r. Calculate the remainder when w is divided by 14.
11
Suppose -6*j + 5 = -31. Suppose -2*o - 3*w = -29, 5*w + 11 + 14 = 0. Calculate the remainder when o is divided by j.
4
Suppose -j - 279 = -5*i + 69, 346 = 5*i - 2*j. Suppose -74*k + 188 = -i*k. What is the remainder when k is divided by 26?
21
Let w = -15 + 51. What is the remainder when w is divided by (-3 + (-2 - -3) - -20) + 1?
17
Let o(n) = 4*n**2 - 7*n + 20. Let s(w) = 3*w**2 - 6*w + 20. Let f(a) = -5*o(a) + 6*s(a). Calculate the remainder when f(0) is divided by 12.
8
Suppose 9*v - 4*v = 0. Suppose 0*i - 2*i + 30 = v. Suppose 11*b = 8*b + 87. What is the remainder when b is divided by i?
14
Suppose -u + 32 = 7*a - 3*a, 4*a - 3*u - 16 = 0. Calculate the remainder when 263 is divided by a.
4
Let x = -196 + 222. Calculate the remainder when 152 is divided by x.
22
Suppose -4*w - h + 101 + 6 = 0, 5*w - 132 = -3*h. Suppose 0 = 26*f - w*f + 17. Calculate the remainder when 64 is divided by f.
13
Let p(m) = -m**2 + 21*m + 22. Calculate the remainder when p(18) is divided by 13.
11
Let r = 175 + -107. Calculate the remainder when r is divided by 18.
14
Let z = -876 + 925. Calculate the remainder when z is divided by 11.
5
Suppose -8*w + 101 = -99. Calculate the remainder when 374 is divided by w.
24
Let f(d) = -d**3 - 13*d**2 + 13*d - 10. Let w be f(-14). Suppose 0 = -5*g + w*c - 5*c + 35, 3*g = 5*c + 49. Calculate the remainder when 15 is divided by g.
7
Let h(j) = 3*j - 15. Let t be h(13). Let k = -16 + t. Calculate the remainder when k is divided by 2.
0
Let k(b) = 214*b**2 + 33*b - 33. What is the remainder when k(1) is divided by 24?
22
Suppose -5*c = -r - r - 98, 5*c = -5*r + 70. Calculate the remainder when 65 is divided by c.
11
Let h be (-3)/(-8) - (-855)/(-40). Let t = -18 - h. Suppose 4*j - t*j - 3*g = 28, 3*g - 48 = -3*j. What is the remainder when j is divided by 5?
4
Let n(w) = -11 + 13 - 5*w + 11*w**2 + 3*w. Calculate the remainder when 2 + -1 - 21*-2 is divided by n(1).
10
Let k(o) = 5*o**3 - 2*o**2 - 2. Let z = 35 + -32. Suppose -4*l = z*t - 32 - 147, 5*t - 277 = 4*l. What is the remainder when t is divided by k(2)?
27
Suppose 0 = -2*q + 5*q - 150. Suppose -10*r = -108 - 62. Calculate the remainder when q is divided by r.
16
Suppose -1403 = -65*s + 1002. Suppose -4*c + 9*c - 95 = 0. Calculate the remainder when s is divided by c.
18
Let m = -38 - -68. Suppose m = 4*y - 18. What is the remainder when 35 is divided by y?
11
Let o(d) = -d**3 + 10*d**2 + 4*d + 11. Let h be o(11). Suppose 4*x + 34 = -98. Let v = x - h. What is the remainder when v is divided by 12?
9
Let b = 10688 + -10602. Let j = -65 + 95. What is the remainder when b is divided by j?
26
Suppose -15*x + 13*x = -5*c + 245, 2*c = -x + 107. Calculate the remainder when 305 is divided by c.
50
Let u(w) = 13*w - 11. Let a be u(3). Let p = -7 + a. Let b = 57 - -3. Calculate the remainder when b is divided by p.
18
Let s(g) = -g**3 - 6*g**2 - 4*g - 7. Let n(j) = 6*j - 3. Let f(y) = -y**3 - 11*y**2 + 8. Let c be f(-11). Calculate the remainder when n(c) is divided by s(-6).
11
Suppose 55*m = 52*m + 411. Calculate the remainder when 542 is divided by m.
131
Let l be (-2)/((-72)/(-35) - 2). Suppose 129 = 5*r + 3*v, -6*v = -3*r - 11*v + 87. What is the remainder when (r/(-10))/(7/l) is divided by 7?
5
Let k = -2002 - -2072. Let z be (-5)/(-7) - 4/(-14). Let l(c) = 17*c + 1. What is the remainder when k is divided by l(z)?
16
Let z = -28 - -49. Calculate the remainder when 60/(-5)*(-260)/30 is divided by z.
20
Let x = -23 - -40. Let l = 636 + -590. What is the remainder when l is divided by x?
12
Let t = -243 + 470. Let y = -154 + t. Let w(q) = -q**3 - q + 15. What is the remainder when y is divided by w(0)?
13
Suppose 3*y - f - 69 = 0, 3*y - 4*f + 0*f - 78 = 0. Calculate the remainder when 106 is divided by y.
18
Suppose 1 + 14 = 5*c. Suppose -c*h + 70 = -5. What is the remainder when ((-74)/(-4))/(1/4) is divided by h?
24
Let g(z) = 7*z - 131. What is the remainder when g(26) is divided by 5?
1
Suppose 8*l = -l + 36. Suppose -2*c + 285 = 5*s + c, 4*c + 228 = l*s. Suppose -t - 2 = -17. What is the remainder when s is divided by t?
12
Let u(h) = -3*h - 26. Let c(l) = -2*l - 13. Let p(q) = -9*c(q) + 4*u(q). What is the remainder when p(11) is divided by 20?
19
Suppose -7*f - 8 = -11*f. Let b = -18 - -25. Calculate the remainder when b is divided by f.
1
Let l be (-118)/(-16) + (-9)/24. Suppose 4*u = 2*i - 14, -4*i - 49 = -l*i - u. Suppose -8 - 16 = -3*n. Calculate the remainder when i is divided by n.
7
Let n(k) = 9*k - 4. Let v be n(4). Suppose 5*t - v = 3*t. Calculate the remainder when ((-18)/(-24))/(6/t) is divided by 1.
0
Let p(b) = -6*b - 2. Let d be p(-1). Suppose 46 = 6*z - d*z. Let l(n) = -n**3 - n**2 + 6. Calculate the remainder when z is divided by l(0).
5
Let d(k) = -k**3 + 3*k**2 - 1. Let c be d(2). Suppose 0 = c*p + p - 4*f, -5*p + 4*f = -4. Suppose u = 3 + p. Calculate the remainder when u is divided by 5.
2
Suppose 0 = 5*y - 13*y + 392. Let b = y - -4. What is the remainder when b is divided by 14?
11
Let s(t) = t**3 + 10*t**2 + 11*t + 2. Suppose -6*z = 39 + 9. Suppose -54 - 21 = -5*l. Calculate the remainder when s(z) is divided by l.
12
Suppose 4*d + d - 1550 = 0. Suppose -5*v = 4*p - 7*p + d, 212 = 2*p - 2*v. Calculate the remainder when p is divided by 37.
36
Let o(k) = -23*k - 33. Let c be o(-15). Suppose -d = 5*b - 502, 3*b - c = -0*d + 3*d. What is the remainder when b is divided by 17?
16
Let g(j) = 6*j + 2. Let f be g(1). Suppose -9*t + f*t = -18. What is the remainder when 87 is divided by t?
15
Let d be 40/18 - 18/81. Suppose 2*x = 4*i + 399 + 95, d*x = 6. C