 Let y(p) = -47*p - 2. Calculate the remainder when y(-2) is divided by x(-22).
16
Let d(o) = o**3 - 13*o**2 + o - 8. Let l = 14 - 11. Suppose -4*j + 54 = 2*s, -l*s - s = -3*j + 35. Calculate the remainder when j is divided by d(13).
3
Let a(u) = -u**3 - u**2 - u - 1. Calculate the remainder when a(-3) is divided by (5 - 3) + 3 + 6.
9
Let d(u) = -37*u**3 - u**2. Let g be d(-1). Suppose g = 9*n - 6*n. Calculate the remainder when (-318)/(-9) - (-3)/(-9) is divided by n.
11
Let j(w) = 3*w**2 + 7*w + 4. Let v be j(-2). Suppose 4*m = 4*d + 184, 37 = v*m - 5*d - 67. What is the remainder when 164 is divided by m?
38
Suppose -3*z + 58 = -35. Let p(t) = -t**3 + 21*t**2 + 21*t + 28. Let g be p(22). Calculate the remainder when z is divided by (-58)/(-5) - g/(-15).
7
Suppose 1 + 362 = 3*p. What is the remainder when p is divided by 33?
22
Suppose 3*b + 3*t = 153, -93 = -70*b + 68*b - 5*t. What is the remainder when 1241 is divided by b?
53
Let y = 64 + -64. Suppose y = -4*z + 3*z + 41. Calculate the remainder when 79 is divided by z.
38
Suppose 161 = 4*c - 4*a + 21, -3*a - 65 = -2*c. Calculate the remainder when 122 is divided by c.
2
Suppose 0 = 29*x - 83*x + 756. Let f = 19 + 7. What is the remainder when f is divided by x?
12
Suppose 401*o = 407*o - 1308. What is the remainder when o is divided by 77?
64
Let x(m) = 3*m + 8. What is the remainder when 185 is divided by x(1)?
9
Let f(c) = -c**3 - 35*c**2 + 29*c - 125. Calculate the remainder when f(-36) is divided by 57.
13
Suppose 0 = 7*k - 73 - 88. What is the remainder when 596 is divided by k?
21
Suppose -3*s = 3*l, l + 14 = 5*s - 10. Suppose -s*a = -a - 147. Let j = 37 - 20. Calculate the remainder when a is divided by j.
15
What is the remainder when 58/(-493) + (-18024)/(-34) is divided by 13?
10
Let c be (5/(-2) - -1) + 39/(-6). Calculate the remainder when 35 is divided by (2*(-3)/(-2))/((-2)/c).
11
Let r = 10 - -18. Let u(b) = b**3 + 6*b**2 + 3*b - 9. Calculate the remainder when r is divided by u(-4).
6
Suppose 5*v - 48 = -2*r, -10*v = -14*v - 2*r + 40. What is the remainder when 61 is divided by (1 - 34/v)*-4?
9
Let i(q) be the first derivative of q**3/3 - 3*q**2 - 8*q - 8. What is the remainder when i(10) is divided by 7?
4
Let c = 332 + -285. What is the remainder when c is divided by 19?
9
Suppose 283 = 2*x + 5*d, -62*d + 67*d = 4*x - 551. Calculate the remainder when x is divided by 86.
53
Suppose -q = -5*r - 402, -4*q + 3*r + 1560 = -r. Suppose 3*h + q = 12*h. What is the remainder when h is divided by 24?
19
Suppose -8*k + 26 = 2. Suppose c = y + 8, 0 = k*c - y - 0*y - 32. What is the remainder when 35 is divided by c?
11
Suppose n + n = -20. Let k = n - -25. Calculate the remainder when 58 is divided by k.
13
Let s = 244 - 168. What is the remainder when s is divided by 27?
22
What is the remainder when 101 is divided by (-70)/(2 + 0 + -4)?
31
Calculate the remainder when ((-7)/(-3))/(9*(-11)/(-4752)) is divided by 67.
45
Suppose 0 = -3*y + 159 - 48. Let a = y - 28. What is the remainder when 35 is divided by a?
8
Let v(j) = j + 2. Let k be v(2). Let z(r) = -r**2 + 6*r + 3. Let w be z(k). Let s = -8 + w. What is the remainder when 7 is divided by s?
1
Let h be 1/2 + 45/6. Let i = h - 37. What is the remainder when 33 is divided by i/(-4) + (-1)/4?
5
Let r be (3 - (5 + -2))/(-2). Suppose 236 = 5*d + 6. Suppose -u - 148 = -5*z, -2*z - 5*u - 3 + d = r. What is the remainder when z is divided by 10?
9
Let f(s) = -s**3 - 9*s**2 - s - 1. Let h(t) = -t**2 - 13*t - 27. What is the remainder when h(-7) is divided by f(-9)?
7
Let w(o) = -63*o**3 + 3*o**3 + 3*o - 5*o - 1. Calculate the remainder when w(-1) is divided by (-21)/((-4)/(-3)*51/(-68)).
19
Let p(f) = -f + 26. Let z(s) = s**2 + 1. What is the remainder when p(13) is divided by z(1)?
1
Suppose -19*i + 17*i = -20. Suppose -i = 5*n, 0*u + 3*u = -3*n + 6. Calculate the remainder when 3 is divided by (u/(-8) + 1)*2.
0
Suppose -4*z - 5*m + 97 = -189, 0 = m - 2. Let h = -24 - 84. Calculate the remainder when z is divided by h/63*21/(-2).
15
Let x = 119 + -88. What is the remainder when 45 is divided by x?
14
Suppose 7*o - 414 - 41 = 0. Let r = 91 - o. Calculate the remainder when r is divided by 10.
6
Let y be 2 - 21/9 - 196/(-12). Let p = y - 5. Suppose -4*b - s = -2*s - 27, 0 = b + 4*s + 6. What is the remainder when p is divided by b?
5
Suppose j + 11 = 29. Let i = 7 + -1. Suppose -m - i = -j. Calculate the remainder when 46 is divided by m.
10
Suppose -4*q - 238 = -11*q. What is the remainder when 303 is divided by q?
31
Let f be (27/(-4))/((-3)/(-8)). Let h(y) = -y**3 - 17*y**2 + 16*y - 5. Calculate the remainder when 185 is divided by h(f).
30
Let f be (-14)/(-63) + (-9444)/(-27). Suppose 10*u - f = -0*u. What is the remainder when u is divided by 19?
16
Let q(v) = 7*v**2 - 6*v + 14*v**2 + 6*v + 7. Let m be q(-3). Suppose 4*u - 2*k - m = 0, 0 = 5*k - 3 + 23. Calculate the remainder when u is divided by 12.
11
Let p(n) = -2*n + 66*n**3 - 2 - 3*n**3 + 39*n**3 + 5*n. Calculate the remainder when p(1) is divided by 15.
13
Let a(n) = 25*n**3 + 7*n**2 + 2. Calculate the remainder when a(3) is divided by 39.
38
Let w = 159 - 65. Suppose -4*y + 34 = -w. What is the remainder when 95 is divided by y?
31
Let v be (-158)/18 + ((-80)/(-45))/(-8). Let x(g) = g**2 - g - 14. What is the remainder when x(v) is divided by 21?
13
Suppose -2*y = 3*y - 3*v - 8, -20 = -5*v. Calculate the remainder when 27 is divided by y.
3
Let m = -9 + 3. Let n be m/(-33) + 600/(-33). Calculate the remainder when 37 is divided by 3/n*-3*20.
7
Suppose -37*h + 43*h = 336. Suppose -4*o = 2*d - 258, 2*d + 4*o + 147 = 3*d. Let n = d - h. Calculate the remainder when n is divided by 27.
25
Let y be (-36)/16*2*-12. Let v = y - 47. Calculate the remainder when 55 is divided by v.
6
Suppose 4*y + 3*a - 71 = 0, -3*y + 22*a = 21*a - 50. Suppose 2*m - 6*m + 132 = 0. What is the remainder when m is divided by y?
16
Let h = 498 + -203. What is the remainder when h is divided by 37?
36
Let q(l) = -2*l + 44. Let d be q(20). Suppose -4*n + d + 12 = 0. Suppose 5*m + 10 = 95. What is the remainder when m is divided by n?
1
Suppose 39*v - 991 = -328. Calculate the remainder when 61 is divided by v.
10
Let w = 28 - 23. Suppose 15 = w*x - 5. Suppose x*l + 4*l - 136 = 0. Calculate the remainder when 48 is divided by l.
14
Let b(q) = q**2 + 2*q + 5. Suppose -3*f + 6 = -6. Calculate the remainder when b(f) is divided by 0 + (-3)/((-6)/32).
13
Let f = 74 - 111. Let k = 62 + f. What is the remainder when 97 is divided by k?
22
Suppose 5*h - 140 = 30. Suppose 2*s - f - 43 = 0, -57*f = s - 55*f - 9. What is the remainder when h is divided by s?
15
Suppose -2*h + 9 = 4*i + h, i + h - 1 = 0. What is the remainder when (2065/30 - 0) + 5/30 is divided by i?
3
Let c = -17 + 22. Suppose 0 = c*q - 0*q. Suppose -5*i + 65 = -q*i. Calculate the remainder when 37 is divided by i.
11
Let o = 1479 - 1409. What is the remainder when 489 is divided by o?
69
Let v(a) be the first derivative of 2*a**3/3 - 10*a**2 + 11*a - 1. What is the remainder when v(13) is divided by 30/(-40) + (-275)/(-20)?
11
Suppose -7*u + 52 = -2*u - 2*w, 42 = 4*u - 2*w. Suppose 6*b = u*b - 16. Suppose -b*j = -12 - 28. What is the remainder when j is divided by 5?
0
Let n(r) = r**3 - 3*r**2 + 4*r + 6. What is the remainder when n(5) is divided by ((-34)/4 + 2)*-2?
11
Suppose 0 = -5*w + r + 284, 4*w - 236 = 15*r - 12*r. What is the remainder when w is divided by 26?
4
Let j(x) = -68*x**3 + 2*x + 1. Let s(c) = 5*c + 1. Let z be s(1). Suppose -7*f = -z*f - 23. Calculate the remainder when j(-1) is divided by f.
21
Let k be 8/(-12)*(-111)/2. Let y = -52 + k. Let q = 19 - y. Calculate the remainder when 99 is divided by q.
31
Let n(s) = -s**2 + 23*s + 76. What is the remainder when n(22) is divided by 51?
47
Suppose 58 = -n + 2*n. Suppose d - 38 = -22. Calculate the remainder when n is divided by d.
10
What is the remainder when -2*(-9)/(72/508) is divided by 68?
59
Let k(m) = -m - 2. Let d be k(-2). Calculate the remainder when 35*((-28)/20 + 2) is divided by (2 + d)/(-2) - -12.
10
Let t(b) = -2*b**3 - 5*b**2 - 5*b - 3. Suppose -2*k - 2 - 4 = 0. Suppose 3*z - v - 126 = -0*v, -15 = 5*v. Calculate the remainder when z is divided by t(k).
20
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