30. Suppose -3*j + 1 = -2*f, 3 = -3*j + 4*f - y. What is the remainder when 3 is divided by j?
0
Let x(g) be the third derivative of g**5/30 + g**4/2 + 10*g**3/3 - 10*g**2. What is the remainder when 116 is divided by x(-6)?
16
Let h(q) = -q**2 + 9*q - 2. Let j(p) be the third derivative of p**5/60 + p**4/8 - 7*p**3/6 - 35*p**2. Calculate the remainder when j(-10) is divided by h(6).
15
Let a = -18 + 28. Let w = a + -8. Calculate the remainder when (1 + w)/(3/21) is divided by 8.
5
Suppose -16*k + 1678 - 846 = 0. Calculate the remainder when 200 is divided by k.
44
Let c = 2311 - 2292. What is the remainder when (-1)/((4/2)/(-186)) is divided by c?
17
Suppose 5*p + 3*r + r + 6 = 0, -3*r = 2*p + 8. Suppose -x + 47 = -2*h + 150, -255 = -5*h + p*x. What is the remainder when h is divided by 18?
13
Suppose -2*j = -t + 1, -2*t + 1 = -t. Suppose j*k - 2 = -k. Suppose k*c + 3 = -c, c = -3*l + 32. Calculate the remainder when l is divided by 3.
2
Let y(q) = q**2 + 12*q - 13. Suppose -k - 18 = -w, -k + 5*w - 46 + 8 = 0. Let z be y(k). Suppose z = 2*p - 38. What is the remainder when 55 is divided by p?
17
Suppose 2*q + 5*w - 12 = q, 5*w = 0. Let v(b) = b**3 - 4*b**2 + b + 3. Let p = 23 + -19. Calculate the remainder when q is divided by v(p).
5
Let t be -7 + 4 - (0 - 17). Let l = 7 + t. Suppose -150 = -2*h - 4*k, -2*h = 5*k - 75 - 72. Calculate the remainder when h is divided by l.
18
Suppose 9 = -3*o + 21. Calculate the remainder when 33 is divided by o.
1
Suppose 2*a - 4*z - 220 = 0, -4*a - 3*z + 426 = -4*z. Let i = a - 63. Let p = i - 27. What is the remainder when 47 is divided by p?
15
Let z = 462 - 439. What is the remainder when z is divided by 9?
5
Suppose 15*n - 153 - 72 = 0. Calculate the remainder when 57 is divided by n.
12
Suppose -238*h = -229*h - 4824. Calculate the remainder when h is divided by 54.
50
Suppose 5*d + r - 79 - 182 = 0, d = r + 51. Calculate the remainder when 179 is divided by d.
23
Suppose 0 = 19*o - 16*o + b - 12, 20 = 5*o + 2*b. What is the remainder when 130 is divided by o?
2
Let u(a) = a + 12. Calculate the remainder when 294 is divided by u(25).
35
What is the remainder when (-5)/(210/7) - 55/(-6) is divided by 9?
0
Let u = 6 + -3. Let f be (-4)/7*(-84)/24. Suppose 0 = -f*d + 21 - u. Calculate the remainder when d is divided by 4.
1
Suppose -2*i + 3*y + 127 = -158, 3*i - y - 438 = 0. What is the remainder when i is divided by 37?
36
Let j = -10 + 14. Suppose 4*o - 3*o = 2*t - 112, j*t + o - 218 = 0. Let s = 66 - 47. What is the remainder when t is divided by s?
17
What is the remainder when 523 is divided by -33*(-5)/(15/2)?
17
Calculate the remainder when 179 is divided by 562/10 - (-9)/(-45).
11
Let l = -37 - -104. Calculate the remainder when l is divided by 46.
21
Suppose -38 - 2 = 5*v. Calculate the remainder when 14/6*(7 + 8) is divided by 7 + 4*(-4)/v.
8
Let p = -21 + 23. Suppose -p*d = -0 - 44. What is the remainder when 8/(-36) + 1734/27 is divided by d?
20
Let j(u) = -9*u**2 - 37*u + 7. Let w(x) = -8*x**2 - 37*x + 8. Let l(i) = 6*j(i) - 7*w(i). What is the remainder when 24 is divided by l(-19)?
4
Suppose 0 = -167*i + 175*i - 6648. What is the remainder when i is divided by 119?
117
Suppose -36 = -z + 2*c, -4*c + 60 = 4*z - 36. Calculate the remainder when 111 is divided by z.
27
Let q(v) = -v**3 + 5*v**2 - 8*v - 29. Calculate the remainder when q(-4) is divided by 77.
70
Let a = 89 - 66. Let z = a + 9. What is the remainder when 94 is divided by z?
30
What is the remainder when -2*(5738/(-4))/19 is divided by 51?
49
Let z = 8 + -6. What is the remainder when z - 1/((-2)/192) is divided by ((-3)/12)/((-11)/1452)?
32
Let h = 87 - 68. Let p = h + 31. What is the remainder when p is divided by 20?
10
Let v(q) = -2*q**3 - 7*q**2 - 12*q + 9. Calculate the remainder when 117 is divided by v(-3).
9
Suppose -32*k + 19*k = -871. Calculate the remainder when k is divided by 29.
9
Let x = 221 + -212. Calculate the remainder when 60 is divided by x.
6
Let a = 824 - 793. What is the remainder when 2075 is divided by a?
29
Let r = -6268 + 6459. Let f = -10 + 42. What is the remainder when r is divided by f?
31
Let k(p) = -p**2 - 7*p - 10. Let s be k(-4). Suppose 5*z + 1 = s*g - 4*g, -5*z = -3*g + 11. Calculate the remainder when (-406)/(-28)*1*g is divided by 10.
9
Suppose -5*a + 5*n = -173 + 28, -2*n = -5*a + 157. Suppose 27 + a = 3*c. Calculate the remainder when 53 is divided by c.
13
Suppose g + 115 = 2*s, 2*s - 5*g = s + 44. Let o be (-1 - 0)*-1 - (0 - -4). What is the remainder when s/4 + o/4 is divided by 6?
2
Let z(m) = 2*m**3 + 3*m. Let v be z(4). Let h = 198 - v. Suppose 18 = 2*a - 22. What is the remainder when h is divided by a?
18
Suppose 4*a - 2*w = 387 + 101, -3*a = 4*w - 388. Suppose -3*l + a = -3*d + 28, 5*l + d - 148 = 0. Calculate the remainder when 116 is divided by l.
26
Let p(c) = c**2 + c - 42. Let g be p(0). Calculate the remainder when 92 is divided by 4/(-8)*g + 3.
20
Let d(q) = 2*q - 5. Let v = -11 - -11. Suppose v = -0*u - 5*u + 35. What is the remainder when 34 is divided by d(u)?
7
Suppose 4*b = -b - 10. Let z = 33 + -18. What is the remainder when 1 + b*(-2 + -18) is divided by z?
11
Suppose 0 = -5*r - 0*r + 100. Suppose -s + 4*s + j = 80, 2*j - 52 = -2*s. What is the remainder when s is divided by r?
7
Suppose 5*n = 3*s - 103, -2*s - 2*n + 22 = -52. What is the remainder when 68 is divided by s?
32
Suppose 5*i - 64 = 36. Let u = i - 10. Suppose 2*h = 2*y + 7*h - 79, 4*h - 78 = -2*y. Calculate the remainder when y is divided by u.
7
Calculate the remainder when 39 is divided by (-10)/6 + (-370)/(-15).
16
Let d(q) = 3*q**2 - q + 3. Let p = 21 + -18. Let n(c) = c + 21. What is the remainder when d(p) is divided by n(-15)?
3
Suppose -13 = 35*a - 153. Let x(f) = f**2 + 3*f + 7. Let s be x(-5). Let z = 31 - s. Calculate the remainder when z is divided by a.
2
Suppose -21*s + 26*s = 65. Calculate the remainder when s is divided by 2.
1
Let k(h) = -7*h + 1. Let j be k(5). Let z = -2 - j. What is the remainder when z is divided by 17?
15
Suppose -3*p = 5 - 113. Let r = p + -2. What is the remainder when r is divided by 12?
10
Suppose -4*w = -16 - 40. Suppose -17*o + w*o = -105. Calculate the remainder when o is divided by 9.
8
Let t be (-1)/3 + (-375)/9. Let b = t - -164. Calculate the remainder when b is divided by 31.
29
Let z be (1 + 0 + -1)/(-4 + 3). Suppose z = 5*v - 45 - 5. Calculate the remainder when 47 is divided by v.
7
Let h(q) = -4*q + q + 3 - 7*q - q. Calculate the remainder when h(-5) is divided by 2 + 3 + 12 - 2.
13
Let d(f) = 82*f - 528. Calculate the remainder when 350 is divided by d(7).
28
Suppose -3*h - 5*o = -123 - 79, 0 = -2*h - 2*o + 128. Calculate the remainder when h is divided by 27.
5
Let h(k) = -2*k**2 + 49*k + 57. What is the remainder when 232 is divided by h(24)?
70
Let p(j) = 3*j**2 + 17*j + 4. Let a be p(-5). Calculate the remainder when a - -2 - (0 + (-416)/4) is divided by 17.
15
Suppose -a + 4*a - 501 = -3*d, -5*d = -4*a - 817. Calculate the remainder when d is divided by 13.
9
Let b = 169 - 162. What is the remainder when 83 is divided by b?
6
Suppose n + 0*m - 4*m = 26, 4*m = 2*n - 36. Calculate the remainder when 15 is divided by n.
5
Let k = 48 + -34. Suppose k = -8*g + 1166. What is the remainder when g is divided by 29?
28
Suppose -2*a + 12 = 5*d, 7*a = 3*a - 4*d + 12. Let c = 57 + -41. What is the remainder when (-17 - a)/((-3)/30*4) is divided by c?
13
Suppose 6*l = -21*l + 3429. Calculate the remainder when l is divided by 64.
63
What is the remainder when 56/(-20) - -3 - 2549/(-5) is divided by 73?
72
Let z = 105 - 97. Suppose -6*m = -z*m + 8. Suppose 0 = 5*r - n + 5*n - 59, 0 = 3*n + 12. What is the remainder when r is divided by m?
3
Calculate the remainder when 127 is divided by ((-24)/(-20))/((-10)/(-175)).
1
Suppose -68 = -261*x + 257*x. Suppose 50 = 3*m - 49. What is the remainder when m is divided by x?
16
Suppose -2*d - 213 = -5*s, -44*s - 2*d = -39*s - 217. What is the remainder when 123 is divided by s?
37
Let z = 20 + -11. Let d(b) = -5*b + 14. What is the remainder when z is divided by d(2)?
1
Let g(x) = -x**3 + 7*x + 4*x**2 + 11*x + 8*x**2 + 15. Let s(o) = -8*o - 3. Let y be s(-2). Calculate the remainder when g(y) is divided by 27.
