Calculate the remainder when f(-4) is divided by 3*(1*8 - 1).
20
Let z = 203 + -131. What is the remainder when z is divided by 15?
12
Suppose 0 = -m + 5*m + 16. Let r(l) = -17*l**3 + l**2 + 4*l + 1. What is the remainder when r(-1) is divided by ((-2)/m)/((-2)/(-36))?
6
Let s = 1415 - 1387. What is the remainder when 175 is divided by s?
7
Let r = -16 + 25. Let d = -12 - -44. Suppose -9*p + 7*p + d = 0. Calculate the remainder when p is divided by r.
7
Let k be 6/21 - (-57)/21. Let c be (-4)/(k + -1) + 10. Suppose l - 13 - c = 0. What is the remainder when 41 is divided by l?
20
Let a(m) = -5*m - 12. Let o = -11 - -18. What is the remainder when a(-6) is divided by o?
4
Let f(u) = -u**3 + 12*u**2 + 31*u - 11. What is the remainder when 78 is divided by f(14)?
16
Let d be 4/14*(-4 - (-7 + 10)). Let l(a) = -3 - 37*a + 0 + 2. Calculate the remainder when l(d) is divided by 25.
23
Suppose 245 = 32*x - 523. Let c be (-2)/(0 + (-2)/4). Suppose c*b + 15 = 51. What is the remainder when x is divided by b?
6
Suppose 35*m = -5*q + 40*m + 350, -4*m - 4 = 0. Calculate the remainder when q is divided by 59/5 - 1/(-5).
9
Suppose -862*d = -863*d + 317. What is the remainder when d is divided by 80?
77
Suppose -220 = -6*u - 82. What is the remainder when 39 is divided by u?
16
Let c = 165 - 154. Suppose -4*d - 131 = -5*r, 0 = 3*r + 3*d - 68 + c. What is the remainder when r is divided by 13?
10
Let f = 27 - 9. Suppose 21 = -2*u + 5*z - 6, 4*z + 84 = -5*u. Calculate the remainder when f is divided by (1 + u/(-4))/1.
3
What is the remainder when 360 is divided by (15/9)/((-3)/((-2808)/60))?
22
Let y(o) = o**2 + 9*o + 38. What is the remainder when 85 is divided by y(-5)?
13
Let b be 222/24 + 1/(-4). Let t(p) = p**3 - 10*p**2 + 11*p - 12. Let c be t(b). Let a = -2 + c. Calculate the remainder when 8 is divided by a.
0
Suppose -2*i - 108 = -8*h + 7*h, 0 = 3*h + 4*i - 354. Calculate the remainder when h is divided by 32.
18
Let s(h) = h + 9. Let k = 3 + 9. Let p = 8 - k. Calculate the remainder when 19 is divided by s(p).
4
Let q be (-5 - -4) + 8/(-4) + 53. Suppose -4*p - 3*l + 72 = 15, 0 = 3*p - 5*l - q. Calculate the remainder when 239 is divided by p.
14
Let o(c) = 16*c**2 - 2*c - 4. Let i be o(-2). Suppose 72 = 4*d + t, 5*d - t - i = d. Calculate the remainder when 32 is divided by d.
15
Suppose 12*u + 312 = 24*u. What is the remainder when 76 is divided by u?
24
Let t(j) be the first derivative of -j**3 + 14*j**2 - 14*j - 45. What is the remainder when t(6) is divided by 16?
14
Let m = -1 - -4. Let y = 147 + -136. Calculate the remainder when y is divided by m.
2
Let w(f) = 5*f - 9. Let c = -13 + 7. Calculate the remainder when w(4) is divided by 5 + c + (-6)/(-1).
1
Let m(g) = g**3 - 5*g**2 - 12*g - 8. Let u be m(7). Suppose 0 = u*v - 4 - 38. Calculate the remainder when 12 is divided by v.
5
Suppose -3*a + 2*r - 10 = 22, 41 = -4*a + r. Calculate the remainder when 31 is divided by (-4 + 1)/(-1) - a.
5
Suppose 3*r - 115 = -4*c, -3*c + r - 38 + 108 = 0. Calculate the remainder when 122 is divided by c.
22
Suppose 6 = -6*u + 12. Calculate the remainder when ((-1)/1)/(128/(-124) + u) is divided by (1 + -4)/(3/(-8)).
7
Suppose -3*z = -i - 0*i - 13, 5*z + i - 19 = 0. Suppose -z*v - 3 = -3*b + 1, -5*b + 4*v + 20 = 0. Calculate the remainder when 154/8 - 2/b is divided by 11.
8
Let t = -38 - -42. Let h(f) = 6*f**2 - 3*f - 9. Let r be h(8). What is the remainder when (r/12 + -2)*t is divided by 14?
11
Let b(f) be the second derivative of f**4/4 - 5*f**3/3 - 19*f**2/2 + 28*f. Calculate the remainder when 51 is divided by b(-2).
12
Suppose -z = 5*f - 2023, -4*z + 397 = f - 0*z. Suppose -18*n + f = -9*n. Calculate the remainder when n is divided by 14.
3
Let b(g) = g**2 + 13*g + 113. Calculate the remainder when b(-13) is divided by 28.
1
Suppose m - 5*y - 225 = 0, -4*m - 4*y = -690 - 138. Let z(v) = -v**3 - 11*v**2 - 5*v - 2. What is the remainder when m is divided by z(-11)?
51
Let c = -439 + 499. Calculate the remainder when 478 is divided by c.
58
Let c = 687 + -571. Calculate the remainder when 224 is divided by c.
108
Let g(a) = a + 13. Suppose 3447*j - 1472 = 3424*j. What is the remainder when j is divided by g(0)?
12
Let n(c) = -c**3 - 2*c**2. Let m be n(0). Let a be m + 39 + 3 + -1. Suppose v + 5*j = 18, 5*v - a = 2*v - 2*j. What is the remainder when 38 is divided by v?
12
Let s(c) = -c**2 + 9*c - 5. Let b = -2 - -10. Suppose -4*w + 11 + 17 = 0. Calculate the remainder when w is divided by s(b).
1
Let j(y) = -3*y**2 + 40*y + 47. Let t = -108 + 181. Calculate the remainder when t is divided by j(14).
16
Let p = -660 + 790. Let x = -59 - -103. Calculate the remainder when p is divided by x.
42
Let k(s) = -s**3 + 2*s**2 + 10*s + 8. Suppose 0 = v + 9 - 6. What is the remainder when k(v) is divided by 12?
11
Suppose 2*n - 65 = i, 0 = -5*n + 3*i + 95 + 66. Calculate the remainder when n is divided by 25.
9
Let u(g) = -32*g - 3. Let t be u(-2). Calculate the remainder when (4/(-2) - t)/(-1) is divided by 13.
11
Let j(f) = -f**2 - 13*f - 6. Suppose -5*y + 0*z = -z + 28, -6 = 3*z. Calculate the remainder when 105 is divided by j(y).
33
Suppose 3*u = 4*u - 1. Suppose 0*h + 6 = 6*h. Calculate the remainder when h is divided by u.
0
Let s = 1545 + -1522. What is the remainder when 72 is divided by s?
3
Let z be (-48)/(-40) + (-1)/5 - 55. Let t = z - -63. What is the remainder when 35 is divided by t?
8
Suppose -a + 0*a = -135. Let t = a - 224. Let n = -47 - t. What is the remainder when n is divided by 11?
9
Let s be -7 - (0 - (0 - 0)). Let x(i) = -i**3 - 6*i**2 + 7*i + 10. Suppose -5*u + 121 = -u - c, 0 = c + 5. What is the remainder when u is divided by x(s)?
9
Let z be (-3010)/(-56) - 1/(-4). Let x = z - -17. Calculate the remainder when x is divided by 18.
17
Let w = -101 + 54. Let r be w/(-7) + 4/14. Suppose -r = u - 20. Calculate the remainder when u is divided by 5.
3
Suppose 0 = -2*z - 4*d + 48, 4*z - 19 = 3*z + 3*d. What is the remainder when z is divided by 12?
10
Let h = -6 + 13. Let y(o) = o**3 - 6*o**2 - 4*o - 5. What is the remainder when -3 - 933/(-15) - (-8)/10 is divided by y(h)?
12
Let c(t) = -t. Let a(o) = o**2 - 7*o + 1. Let r be a(6). Let l be c(r). Suppose 77 = -4*w + l*w. What is the remainder when w is divided by 20?
17
Suppose 4*f + 5*k + 17 = 0, 4 = -4*k - 0. Let j(q) = 3*q**2. What is the remainder when j(f) is divided by 14?
13
Suppose 0 = q + q - o - 3, -5*o + 15 = 0. Suppose 5*j = q*j + 30. Calculate the remainder when 57 is divided by j.
12
Let p(g) = -6*g - 6. Let k be p(-3). Suppose k = s + 3*s. Calculate the remainder when 13 is divided by s.
1
What is the remainder when 827 is divided by (3 + (-21)/9)/(10/690)?
45
Suppose -4*l + 449 = -5*o - 709, 5*l = o + 1437. What is the remainder when 82 is divided by (-6)/(-51) - l/(-17)?
14
Let f(m) = 11*m + 556. What is the remainder when 429 is divided by f(-44)?
69
Suppose -2*y - 2*y = 8, 0 = -h - 3*y - 2. Calculate the remainder when (h + 0 - 58)/(-2) is divided by 10.
7
Let c = 29 + 0. Calculate the remainder when c is divided by 5.
4
Let w(f) = 74*f - 17. Calculate the remainder when w(2) is divided by 43.
2
Suppose 4*s = 9*s - 60. Let m = -103 + 186. What is the remainder when m is divided by s?
11
Suppose -2*n + 3*t + 5 + 9 = 0, -3*n + 55 = 4*t. What is the remainder when 38 is divided by n?
12
Let d(v) = -v + 4. Let u(m) = m**3 + 4*m**2 + 3*m + 2. Let w be u(-2). Let j be d(w). Suppose -2*p = -j*p - 28. Calculate the remainder when p is divided by 5.
4
Let n = 1716 + -1600. What is the remainder when n is divided by 30?
26
Calculate the remainder when (-8)/(-1) - (19 - 194) is divided by 19.
12
Let p = 1288 + -1284. What is the remainder when 134 is divided by p?
2
Let f(k) = -16*k - 5. Let p be f(6). Let a = p - -128. What is the remainder when a is divided by 10?
7
Let d be 15/(-12) - ((-9)/4)/(-3). Calculate the remainder when 24 is divided by (2 - -5)/(3/(-12)*d).
10
Let m = -22 + 29. Suppose 5*y = 4*i - 483, -m*i + 4*y - 147 = -8*i. Calculate the remainder when i is divided by 16.
15
Calculate the remainder when 63 is divided by (-66)/(-2 + 5)*3/(-2).
30
Let l(m) = -7*m**3 - 5*m**2 - 3*m + 2. Let j be l(-3). Let z = j + -89. What is the remainder when z is divided by 23?
20
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