)/(3 + -1)?
8
Let z be 1/3 - (-481)/(-3). Let h = 243 + z. Suppose -5*j + h + 72 = 0. Calculate the remainder when j is divided by 11.
9
Let u be 8*(-4 + -9*1/(-2)). Suppose 0 = 3*a - 5*a + 4*w + 10, 42 = u*a + 3*w. What is the remainder when 186 is divided by a?
6
Let d = 863 - 841. What is the remainder when 82 is divided by d?
16
Let l = 291 - 267. Calculate the remainder when (2 + (-80)/15)/((-4)/54) is divided by l.
21
Let b = -328 + 703. Calculate the remainder when b is divided by 29.
27
Let x = -79 + 78. What is the remainder when 70/(-4)*(-36)/15 is divided by ((-3)/(-1))/(x - (-24)/20)?
12
Suppose 34*d = 356 + 358. What is the remainder when 0 - -39 - (1 + -1) is divided by d?
18
Let y(x) = -x**3 + 7*x**2 + x - 9. Let v be y(7). Let u(d) = -7*d - 15. What is the remainder when u(-3) is divided by v*1 + 2 + 2?
0
Suppose 4*x + q = 4*q + 141, 0 = -3*x + 2*q + 105. Suppose -7*u - x = -411. What is the remainder when 161 is divided by u?
53
Let s be (-2 - -1)*1 - 6/1. Let k(u) = u**2 + 2*u + 10. What is the remainder when 134 is divided by k(s)?
44
Let k(z) = 3*z + 4. Let j be k(5). Let m = 10 - j. What is the remainder when (m + 5)*6/(-8) is divided by 2?
1
Suppose -39 = -b - 2*h, -3*h - 27 = -b - h. Let c = 26 - 8. Calculate the remainder when b is divided by c.
15
Suppose -3*b = 4*o - 4*b + 120, 0 = -3*b - 12. Let w = o - -41. Calculate the remainder when 68 is divided by w.
8
Suppose 0 = -2*v - 8, -v = -4*w + 5*w - 12. Suppose 4 - w = -x. Suppose -3*b + 22 = -41. What is the remainder when b is divided by x?
9
Let k(b) = 2*b**3 - 2*b**2 - 2*b - 1. Let s(d) = d**3 - 4*d**2 + 7*d - 8. Let v be s(3). What is the remainder when k(v) is divided by 22?
21
Suppose -5*o + 455 = r, 32*o + 3*r = 36*o - 345. Calculate the remainder when 350 is divided by o.
80
Let c = 229 + -146. Calculate the remainder when c is divided by 43.
40
Suppose -13 = -3*u + 5*k, -u + 0*k + 9 = 3*k. Let r be (-27)/(-3)*52/u. Suppose -4*z + 10 = -r. What is the remainder when 85 is divided by z?
19
Suppose -43*g - 416 = -47*g + 2*f, -2*g + 2*f = -206. What is the remainder when 323 is divided by g?
8
Suppose -12 = -10*v + 8. Suppose f - 101 = -v*x - 2*x, 5*f - 380 = 5*x. What is the remainder when f is divided by 42?
39
Suppose -128 = -5*p + 32. Let k = -22 + p. Suppose 4*w + 13 = 5*w - 5*g, 4*w = -2*g + 74. What is the remainder when w is divided by k?
8
Let h = -61 - 7. Let o = h + 104. What is the remainder when 140 is divided by o?
32
Let w(z) = z**3 + z**2 + 3*z + 49. Let b(g) = -g**3 - g + 8. Let n be b(0). Let l = 25 - n. Calculate the remainder when w(0) is divided by l.
15
Suppose 3*m - 300 = -2*m. Suppose -2*h + 22*i - 25*i + 14 = 0, -21 = -3*h + i. Calculate the remainder when m is divided by h.
4
Suppose 0 = -32*b + 658 - 82. Let f = 23 + -13. What is the remainder when b is divided by f?
8
Suppose 8*u = 43 + 13. Calculate the remainder when (-3)/u + 4/((-112)/(-1244)) is divided by 7.
2
Suppose 5 = 5*l - 5. Suppose 52 = 3*g - 5*t, 3*g + l*t - 3*t = 68. What is the remainder when (-23)/(1*(-2)/6) is divided by g?
21
Let z(x) = 9*x**2 + 4*x - 4. Suppose -98 = -5*y + 3*y. Let f = y - 15. Calculate the remainder when f is divided by z(1).
7
Let j be (-3 - -10)/((-1 + 5)/(-4)). Let f(r) = r**2 - 2. Calculate the remainder when 326 is divided by f(j).
44
Let p = 57 + -31. Let a be (-189)/(-35) + (-3)/(-5). Suppose -c - 5*t = 16, c - 4*t + a*t + 1 = 0. Calculate the remainder when p is divided by c.
8
Suppose -3*u + 12*u = 306. Let l = -16 + 28. Calculate the remainder when u is divided by l.
10
Suppose -2*q - 2*g - 50 = 0, 2*q + 43 = 2*g - 15. Let j(v) = -v**2 - 6*v - 3. Let l be j(-6). Let b = l - q. What is the remainder when 71 is divided by b?
23
Let o(x) = 2*x + 3. Let z be o(-2). What is the remainder when -2 - -49 - -1 - (-7 - -1) is divided by (z*7)/((-3)/6)?
12
Let i(f) = -13*f - 46. Let z(u) = -u**2 - 16*u + 32. Let s be z(-18). Calculate the remainder when 41 is divided by i(s).
5
Let z(j) = j**2 + 14*j. Let t be z(-17). Let d = -32 + t. What is the remainder when d is divided by 8?
3
Suppose -7*z = 339 - 1361. What is the remainder when z is divided by 24?
2
Let c = -10 - -18. Calculate the remainder when 63/(-6)*4/(10/(-5)) is divided by c.
5
Suppose -3*c + 5 = -o - 8, -5*o - 55 = -5*c. Let y = o + 43. What is the remainder when 96 is divided by y?
30
Suppose 5*z - 61 = i + 2*i, -12 = -4*i. Suppose 4*c = 6*c - 8. What is the remainder when z is divided by c?
2
Let x be -2 - (-2 - 0) - 1*12. Let z = 5 - x. Calculate the remainder when 33 is divided by z.
16
Let x be (2/(-5))/(24/(-300)). Suppose -3*m = 2*r - 204, -x*r - m = -r - 428. What is the remainder when r is divided by 22?
20
Suppose -z - 4*z = 175. Let p = 50 + z. What is the remainder when p is divided by 6?
3
Suppose -k - k - 36 = 0. Let d be (-106)/(-3) + 24/k. Suppose 4*y = 22 + d. Calculate the remainder when 69 is divided by y.
13
Let m(y) = y**2 + y. Let g be m(0). Suppose g = 3*i - 490 - 38. Calculate the remainder when i is divided by 60.
56
Let u(v) = -9*v - 99. What is the remainder when 57 is divided by u(-14)?
3
Let v(m) = -6*m - 82. Suppose l = 4*l - 249. Calculate the remainder when l is divided by v(-16).
13
Suppose 1974 = 53*t - 47*t. What is the remainder when t is divided by 55?
54
Suppose 2 = 2*p - 12. Let j(u) = u**3 + 10*u**2 + 12*u + 15. What is the remainder when j(-8) is divided by p?
5
Suppose -4*w + 410 - 222 = -4*t, -3*w - 3*t + 111 = 0. Let p be 1/(0 + 1/3). Suppose -o = p*o - 44. Calculate the remainder when w is divided by o.
9
Let w = -242 + 330. What is the remainder when w is divided by 24?
16
Suppose -u + 6 + 64 = 0. Calculate the remainder when u is divided by 15.
10
Suppose -3*j - 4*i = -5, -3 = 6*j - 7*j - i. Calculate the remainder when 80 is divided by j.
3
Suppose 0 = -l - 0*l - 11. Suppose -14 + 8 = -6*i. Let q = i - l. Calculate the remainder when 45 is divided by q.
9
Let u(q) = -q**3 - 11*q**2 - 17*q - 63. What is the remainder when 33 is divided by u(-10)?
5
Let n be 39/2*(-8)/(-6). Let u = n + -2. What is the remainder when 94 is divided by u?
22
Suppose 7 = 3*d - 2. Suppose -d*r + 4*v = -121 + 30, 0 = r - 4*v - 41. Calculate the remainder when r is divided by 7.
4
Let a(m) = m**3 + 4*m**2 - 4*m + 20. What is the remainder when 20 is divided by a(-5)?
5
Let y(j) = 41*j + 6. Suppose t = -15*t + 32. What is the remainder when y(t) is divided by 30?
28
Let q = 146 - 41. Calculate the remainder when q is divided by 47.
11
Let m(q) be the second derivative of q**3 - 7*q**2/2 + 4*q. Calculate the remainder when m(6) is divided by 11.
7
Suppose 0*b = 2*y + 2*b, 8 = y - b. Calculate the remainder when 33 is divided by y.
1
Suppose 5*t - 343 - 847 = 0. Let n = -118 + t. What is the remainder when (n/(-75))/((-4)/70) is divided by 15?
13
Let h(z) = -12*z - 42. What is the remainder when h(-16) is divided by 17?
14
Suppose 372*o = 367*o + 3665. Calculate the remainder when o is divided by 25.
8
Let w = 0 + 29. Suppose -5*g = -c - 23 - 20, -c + w = 4*g. Let j(r) = 29*r + 2. What is the remainder when j(1) is divided by g?
7
Let b(s) = 3*s**2 + 51*s + 16. What is the remainder when 26 is divided by b(-17)?
10
Let i(u) = -3 - 10*u**2 + u**3 + 19*u - 10*u + 12. What is the remainder when 44 is divided by i(9)?
8
Let s = -6 - -32. Suppose 0 = -l + s - 2. Suppose -5*g = -1 - l. What is the remainder when 16 is divided by g?
1
Suppose 2*a - 117 = 3*q + 26, 0 = 4*a - 4*q - 276. What is the remainder when a is divided by 28?
8
Let f be ((-9)/(-6))/((-6)/(-16)). Suppose -2*r + 4*l - 20 = 0, r - f*r = -4*l + 22. Calculate the remainder when 0 + r + (1 - -6) is divided by 3.
2
Suppose 3*g = -2*g - 2*x - 4, 0 = g - 4*x - 8. Suppose g = f - 5. What is the remainder when 8 is divided by f?
3
Let a be -11*(9/(-3) - -4). Let t(s) = -s + 33. Calculate the remainder when t(a) is divided by 17.
10
Suppose -6*s + 26 = 2. Suppose 3*q - 7*q = -s*k - 16, -2*q - 2 = 3*k. Calculate the remainder when q is divided by 1.
0
Let b(v) = 0 + 8 + 13 + v**2 + v. What is the remainder when (-6 - -59 - 6) + 14 + -20 is divided by b(0)?
20
Let h be 6 + 7 + -4 - 2. Suppose -2*o + 7 + h = 0. Suppose 2*n + n - t = 12, 0 = -4*n - 5*t - 3. Calculate the remainder when o is divided by n.
1
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