ppose -18 - 72 = 3*j. Let u = j + 51. Calculate the remainder when u is divided by (9/(-7))/(51/(-238)).
3
Let z = -2 - -39. Suppose 0 = u - 56 - 53. What is the remainder when u is divided by z?
35
Let l be 1 + 31 + 2 + 1. Suppose -5*y + l = -30. Suppose 5*k - 47 = -3*v, 23 = k + 3*v + v. What is the remainder when y is divided by k?
6
Let v(b) = 28*b - 11. Let x(q) = -2*q. Let t(o) = 2*v(o) + 22*x(o). Calculate the remainder when 50 is divided by t(4).
24
Suppose -3*n = z - 76, -3*z + 2*z + 97 = -4*n. Suppose 43 = 8*y - z. What is the remainder when 79 is divided by y?
15
Let r = 6 + -2. Suppose 6*l - 10*l + 147 = -k, k + 2*l = -165. What is the remainder when 39 is divided by 3/(r - k/(-42))?
11
Let b(a) = a**2 + 8*a + 33. Let o = 84 - 95. What is the remainder when b(o) is divided by 23?
20
Let x = 14174 + -14138. Suppose -3*y - 5*v = y - 722, 3*y - 528 = 3*v. What is the remainder when y is divided by x?
34
Let c be (-1 - 2) + (-3)/(-1). Suppose -5*d + 224 - 19 = c. Suppose q + 3*q = l - 11, 4*q + d = 3*l. Calculate the remainder when l is divided by 4.
3
Let a(v) = 18*v**3 + 2*v**2 - v. Let j be a(1). Suppose 0 = -5*o, 0 = 5*w + 5*o - 6*o - 55. Let n = j - w. What is the remainder when 15 is divided by n?
7
Let m = -12 + 17. Suppose 0 = -m*j + 4*j - 28. Calculate the remainder when (-33)/(2 - j/(-8)) is divided by 12.
10
Suppose -2200 = -5*s + 2*s - x, 2*s + x = 1465. What is the remainder when s is divided by 106?
99
Suppose 0 = 3*u + 3*x - 54, 4*x + 3 = x. Let q(p) = p**3 + 8*p**2 + 3*p - 6. Calculate the remainder when q(-5) is divided by u.
16
Suppose -5*s = -3*x + 61, -2*x + 2*s = 5*s - 28. Calculate the remainder when 28 is divided by x.
11
Suppose 2*o = -0*h - 2*h - 180, 0 = 2*o - 3*h + 185. Let x = -55 - o. What is the remainder when x is divided by 10?
6
Let z(r) = -r**3 - 5*r**2 - 2*r + 4. Suppose -3*q = 4*x - 29, -4*q + 4*x + 0 = -48. Calculate the remainder when z(-5) is divided by q.
3
Let s = -3458 - -4966. Calculate the remainder when s is divided by 56.
52
What is the remainder when ((-12)/(-24) - 2)/(6/(-140)) is divided by 31?
4
Suppose 0 = 4*j + 3 + 429. Let w = -76 - j. What is the remainder when 62 is divided by w?
30
Let t = 977 + -867. What is the remainder when 113 is divided by t?
3
Suppose 83 = 3*i - 10. What is the remainder when 218 - (3 - (-3 + 2)) is divided by i?
28
Suppose -5*n + 0*x - 2 = 2*x, 4*x = -4. Let f be 6*3/(n - -9). Suppose -p = -f - 0. What is the remainder when 4 is divided by p?
0
Suppose -g = 2*p - p + 65, 0 = 3*g + 5*p + 193. Let w = 34 + g. Let b = w + 46. What is the remainder when 38 is divided by b?
10
Suppose -4*x - 20 = -0*x + 4*m, 0 = -5*m - 25. Suppose 3*b + x*b + 6 = 4*o, b = -4*o + 14. Let d = 4 + -3. Calculate the remainder when o is divided by d.
0
Let f = 142 + -64. Suppose -2*u + f - 34 = 0. What is the remainder when u is divided by 8?
6
Let o(p) = 22*p. Let t be o(-1). Let d be (-4)/t + 708/(-22). Let b = -15 - d. Calculate the remainder when b is divided by 6.
5
Let q = 1 + -1. Suppose -5*g + g + 204 = q. Suppose b - g = -2*b. Calculate the remainder when b is divided by 9.
8
Suppose c = 5*b - 18, 3*b - b + 2*c = 0. Let i = -16 - -18. Suppose -3*k = -i*k - 9. What is the remainder when k is divided by b?
0
Let o(i) = 6*i + 3. Let g be o(0). Suppose u + 137 = g*y, -4*y + 2*u + 132 = -52. Calculate the remainder when y is divided by 16.
13
Let h(m) = -2*m**2 - 37*m + 16. What is the remainder when h(-13) is divided by 41?
36
Let q(a) = 13*a**2 - 5*a + 6. Suppose o + 2*o - 117 = 0. Calculate the remainder when o is divided by q(1).
11
Let r(j) = j**3 - 12*j**2 + 23*j - 12. What is the remainder when 499 is divided by r(10)?
13
Suppose -u + 279 = 253. Let l be (-18)/(-4) + 3/(-6). Suppose -5 = -5*r, 2*i - 9 - 5 = l*r. Calculate the remainder when u is divided by i.
8
Suppose z = 5*s + 15, -24*z + 20*z - s + 102 = 0. Calculate the remainder when 98 is divided by z.
23
Let k(h) = h**2 + 8*h + 2. Let z be k(-12). Let v = z + -17. What is the remainder when v is divided by 12?
9
Suppose -v - 3*w + 76 = 0, -1 = -4*w + 15. Calculate the remainder when v is divided by 47.
17
Suppose -5*g - 120 + 15 = -5*b, 4*g + 12 = b. What is the remainder when 27 is divided by b?
3
Suppose 4*f - 4 = 0, -4*t - 4*f = -6*f - 30. Calculate the remainder when 30 is divided by t.
6
Suppose 0 = -3*a + 5*a - 46. Let m be (-6)/(-4)*(0 - 6). Let i = 17 + m. Calculate the remainder when a is divided by i.
7
Suppose a + 41 = 5*t, 5*t - 155 = 4*a - 36. What is the remainder when (-7910)/(-130) - 4/a is divided by 2/(-7) - (-228)/14?
13
Let f(a) = 7*a + 47. What is the remainder when 44 is divided by f(-5)?
8
Suppose -15*i + 4 = -17*i. Let d = 63 + i. Calculate the remainder when d is divided by 17.
10
Suppose 0 = 24*z - 1505 - 31. Let g = -22 + 40. Calculate the remainder when z is divided by g.
10
Let v be ((-4)/6)/((-10)/435). Let k = v - 14. Let r = k - -6. Calculate the remainder when r is divided by 8.
5
Let z = 147 - 36. Let k(o) = o**2 - 2*o - 33. Let a be k(-9). Let u = z - a. Calculate the remainder when u is divided by 12.
9
Let g = 49 + -24. What is the remainder when (5 - 4)*2*g/2 is divided by 9?
7
Let f = 1310 + -1000. What is the remainder when f is divided by 105?
100
Suppose 183 = -13*v + 482. Suppose 0 = -q - 5, 3*z - 245 = q - 6*q. Calculate the remainder when z is divided by v.
21
Suppose -27*l + 202 = -905. What is the remainder when l is divided by 5?
1
Suppose k - 4*k - 65 = 4*c, -50 = 2*k + 4*c. What is the remainder when 66 is divided by 4 + -1 - (1 + k)?
15
Let l(c) = -2*c**3 - 4*c**2 + 11*c + 6. Let p be l(-6). Suppose -4*m = -0*m - p. What is the remainder when m is divided by 12?
9
Suppose 0 = 6*g - 2*g - 3*v - 433, -91 = -g - 5*v. What is the remainder when g is divided by 12?
10
Suppose 5*x - 491 + 476 = 0. Suppose 3*i - n + 14 = 41, 2*i - 19 = n. Suppose 4*w = -i, -x*w - 92 - 14 = -4*v. Calculate the remainder when v is divided by 15.
10
Let y(w) = w**3 + 22. Let f be y(0). Let n = f - -1. Suppose -56*p = -45*p - 132. What is the remainder when n is divided by p?
11
Let u = -27 + 59. Suppose 34*a = u*a + 30. Calculate the remainder when 118 is divided by a.
13
Let g = -51 - -50. What is the remainder when g/(-3) - 581/(-21) is divided by 15?
13
Let i = -1062 + 1096. Suppose 278 - 842 = -4*y. Let m = -75 + y. Calculate the remainder when m is divided by i.
32
Let b(c) = 15*c - 15. Calculate the remainder when b(4) is divided by 20.
5
Let a = 518 + -478. Calculate the remainder when 62 is divided by a.
22
Let s(p) = -p**3 - 16*p**2 - 28*p + 14. Let f = -22 + 48. What is the remainder when f is divided by s(-14)?
12
Calculate the remainder when 334 is divided by 20/6*((-106)/(-10) - -2).
40
Suppose 2*t - 4*n = 62, -89*t + 93*t - 189 = -5*n. Calculate the remainder when 325 is divided by t.
38
Let b = 448 - 206. What is the remainder when b is divided by 61?
59
Let f(r) = -2*r - 1. Let c(m) = 2*m + 2. Let a(p) = -6*c(p) - 7*f(p). Suppose 0 = 6*i + i - 98. What is the remainder when 67 is divided by a(i)?
21
Suppose 3*t + t = 4*j + 32, -24 = -t - 3*j. Let a = 6 - -3. What is the remainder when a is divided by (t + -2)/((-12)/(-6))?
4
Calculate the remainder when ((-602)/(-392) - 4/14)*76 is divided by 26.
17
Suppose -10*i = -9*i - 3. Suppose -i*t - 49 = 14. What is the remainder when 59 is divided by (-1 - t)/(2 - 1)?
19
Suppose 4*j = 4*y + 20, y + 5 = 4*j - 0*j. Suppose -7*v + 546 = -j*v. Calculate the remainder when v is divided by 28.
22
Suppose 341*m = 330*m + 1485. What is the remainder when 230 is divided by m?
95
Suppose -21*k = -24*k + 42. What is the remainder when 64 is divided by k?
8
Let x = 525 + -514. What is the remainder when 109 is divided by x?
10
Let q = 492 + -214. What is the remainder when q is divided by 40?
38
Suppose 39*q = 38*q + 58. What is the remainder when 281 is divided by q?
49
Suppose -4*d + 0*d = -88. Let o = 51 - d. Let v = o - 5. Calculate the remainder when v is divided by 13.
11
Suppose 0 = -l - l + 44. Let i = -645 + -205. Calculate the remainder when i/(-10) - 2*(-2 - -1) is divided by l.
21
Let i be ((-64)/(-48))/((-4)/234). Let g = -25 - i. What is the remainder when g is divided by 15?
8
Let w = 66 - -71. Let o = 143 + -97. What is the r