Calculate the remainder when 1/((-4)/(-178))*2 is divided by g + (-9)/((-27)/78).
29
Suppose -14*y = -292 + 68. Let u(b) = 42*b - 1. Calculate the remainder when u(1) is divided by y.
9
Let g(m) be the third derivative of -1/2*m**3 + 0 + 0*m - 1/8*m**4 + 7/30*m**5 - 2*m**2. Calculate the remainder when g(-2) is divided by 20.
19
Let j = 7 + 11. Calculate the remainder when 89 is divided by j.
17
Suppose 0 = -d + 5 - 2. Suppose -5*g + 14 = -6, 2*h = -d*g + 36. Suppose -a = 2*q - 68, -5*q - 3*a + 99 = -2*q. What is the remainder when q is divided by h?
11
Let l = 27 + -8. Let k(w) = -w**3 + 23 + 2*w**3 - 11*w - 265*w**2 + 257*w**2. Calculate the remainder when l is divided by k(9).
4
Suppose k + 2*k = 12. Suppose k*m + 45 - 17 = -4*q, 2*q + 5*m + 26 = 0. Let g(c) = 2*c**2 + 4*c + 1. Calculate the remainder when g(q) is divided by 2.
1
Suppose 1 = -4*k + 37. Let f(z) = -55*z - 3. Let u be f(-2). Suppose -5*r = 3*i - 100, -3*r = -3*i - r + u. What is the remainder when i is divided by k?
8
Let p(b) = 4*b**3 - b**2. Suppose 5*y = 8 + 2. Calculate the remainder when p(y) is divided by (13 - 3)*(-4)/(-4).
8
Let y = 0 + 2. Suppose -y*c + 24 = -4. Calculate the remainder when 26 is divided by c.
12
Let o(z) = 2*z + 24. Suppose -10 = -v + 4*q - 2*q, q = 3*v - 55. What is the remainder when o(7) is divided by v?
18
Let u(p) = 17*p - 107. What is the remainder when u(11) is divided by 14?
10
Let m = 16 - 14. Suppose -177 = -0*f - 3*f. Calculate the remainder when f is divided by (3/m)/(9/120).
19
Let z = -104 + 147. Let h(v) = 8 - 14*v - 7*v**2 - v**3 - 6*v**2 + 2*v**3 - v**2. Calculate the remainder when z is divided by h(15).
20
Suppose -40*d + 99 = 19. Calculate the remainder when 13 is divided by d.
1
Let n be (-1 + 3)/(2/(-7)). Let c(x) = -x**3 - 7*x**2 - 5*x - 9. Suppose 3*m = 44 + 103. What is the remainder when m is divided by c(n)?
23
Suppose t + 3534 = -5*r + 10*r, r - 2*t - 714 = 0. Calculate the remainder when r is divided by 143.
134
Suppose 3*f = -3*j + 33, 5*j - 103 = 5*f - 28. Suppose 50 = 3*s - 5*x, s + x = j + 17. Calculate the remainder when 119 is divided by s.
19
Suppose -1 = -3*p + 11. Suppose 4*m + 0*m - p*r = 32, -5*m + 67 = 4*r. What is the remainder when 32 is divided by m?
10
Let m be (-4)/6 - 38/(-3). Let s be -80*(m/8 + -3). Calculate the remainder when 10 is divided by (-116)/(-30) + 16/s.
2
Let w be (1/((-2)/(-3)))/(17/(-272)). What is the remainder when 27 is divided by -5 + (-4 - w) + -1?
13
Let w(c) = 16*c - 7. Suppose 2*v = 5*h - 36 - 20, 0 = 4*h - 5*v - 55. Suppose -4*j + 2 = -h. Calculate the remainder when w(j) is divided by 11.
8
Suppose j - k = 21, -5*j + 2*k + k + 95 = 0. Suppose -29 = -5*d + 3*a, d + d - j = -a. Suppose -17 = -d*r + 6*r. What is the remainder when 65 is divided by r?
14
Let z = 157 - 61. Calculate the remainder when 294 is divided by z.
6
Let m = -1 - -42. Let b(c) = m*c + 3 - 21*c + c**2 - 22*c. Calculate the remainder when 7 is divided by b(2).
1
Let u(t) = t**3 + 6*t**2 + 5*t + 1. Suppose -15*o = -16*o - 4. Let y be u(o). Calculate the remainder when y/2 - 1/2 is divided by 2.
0
Let v(a) = a**3 + 5*a**2 + 4*a + 71. What is the remainder when 34 is divided by v(-6)?
1
Calculate the remainder when (-16)/24 - (-48293)/21 is divided by 20.
19
Let d(m) = 13*m - 5. Let u = 100 + -99. What is the remainder when 35 is divided by d(u)?
3
Suppose 4*k - 58 = 126. Suppose -3*w - 30 = -3*j, j + k = 5*j - w. What is the remainder when 26 is divided by ((-30)/j)/((-1)/6)?
11
Let p = 0 - -3. Suppose -2*x - 129 = -7*x + 2*v, x = -p*v + 19. Let f = 910 + -897. Calculate the remainder when x is divided by f.
12
Let u(p) = 8*p**2 - 1. Suppose 6*r - 25 = r. Let s be -4 + r + -2 + 2. Calculate the remainder when 27 is divided by u(s).
6
Let s(r) = -r**2 - 6. Let z be s(-3). What is the remainder when 90 is divided by 2082/90 + 2/z?
21
What is the remainder when (-64688)/(-364) + 5/(-7) is divided by 7?
2
Suppose 4*j = -n - 3*n + 100, 15 = j - 4*n. Suppose -i - 418 = -j*i. What is the remainder when 131 is divided by i?
17
Suppose -5*q - 13 + 58 = 0. Suppose 0 = -3*r - 2*c + 25, 2*c - 30 = 9*r - 13*r. Calculate the remainder when q is divided by r.
4
Let i(j) = j. Suppose -f + 2*h = -2, 3 = f - h + 2. Let u be i(f). Suppose u*y = 4*y - 60. What is the remainder when 27 is divided by y?
12
Suppose 6*h + 30 = 5*h. Let g = h - -63. Suppose g = 4*f - 3. What is the remainder when 35 is divided by f?
8
Suppose 0 = -4*q + 4 - 8, 0 = -5*z + 4*q - 81. Let r = 2 - z. What is the remainder when r is divided by 8?
3
Let o(j) = 5*j**3 + 5*j**2 - 4*j - 9. Calculate the remainder when o(3) is divided by 19.
7
Calculate the remainder when 1274/21 + (-1)/(-3) + 5 is divided by 14.
10
Suppose 3*y + 33 = -x, -3*x - 51 = -y + 58. Let t = 50 + x. What is the remainder when t is divided by 8?
6
Suppose 0 = 4*q - 4 - 8. Suppose -2*y + 0*y - 48 = -5*b, b - 4*y - 6 = 0. Calculate the remainder when b is divided by q.
1
Suppose j + 37 = 87. Calculate the remainder when j is divided by 17.
16
What is the remainder when 3 + (-12)/8*18/(-1) is divided by 3?
0
Suppose 60 = o - 4*o. Suppose -42 = 5*t + 3*u + u, -2*t = -u + 22. Calculate the remainder when 8/t - 1656/o is divided by 21.
19
Suppose 4*d = 2*p + 60, -6*d + 3*d + 100 = -4*p. Let l = p + 49. What is the remainder when l is divided by 5?
2
Suppose 15*c + 7 = 82. Let j(f) = f**3 - 7*f**2 + f + 5. What is the remainder when j(7) is divided by c?
2
Let l(g) = -2*g - 1. What is the remainder when 61 is divided by l(-7)?
9
Let s(x) = 3*x**2 + 27*x - 2. Calculate the remainder when 360 is divided by s(-10).
24
Suppose 83 = 16*r - 45. What is the remainder when 58 is divided by r?
2
Let u = 1554 - 1509. Calculate the remainder when 80 is divided by u.
35
Let b = -374 + 525. Suppose -b*d = -152*d + 3. Let p(i) = -5*i - 1. What is the remainder when p(-1) is divided by d?
1
Suppose -c + 5*p - 47 = -2*c, -3*p = -c + 71. Let x(d) = -8*d - 9. What is the remainder when c is divided by x(-4)?
16
Suppose 5*u + 2*g = 132 + 371, 0 = -2*g - 2. What is the remainder when u is divided by 27?
20
Suppose 4*z - 1650 = 474. What is the remainder when z is divided by 133?
132
Let j = -878 - -939. Calculate the remainder when 206 is divided by j.
23
Suppose 0 = 3*k + 2*r - 129, -4*k + 49 + 109 = -2*r. What is the remainder when k is divided by 6?
5
Let q = 35 - -163. What is the remainder when q is divided by 56?
30
What is the remainder when 600/14 - (4/14)/(-2) is divided by 28?
15
Let y(f) = -2*f**3 + 21*f**2 - 6*f - 1. What is the remainder when y(10) is divided by 5?
4
Suppose 4*i + 9*i - 156 = 0. What is the remainder when 14 is divided by i?
2
Let r = 102 + -138. What is the remainder when 41 is divided by (-378)/r - -3*(-1)/(-2)?
5
Let u = -16 + 41. Let z = -719 - -816. Calculate the remainder when z is divided by u.
22
Suppose 3*g = 2*g + 43. Let l = g - 32. What is the remainder when 38 is divided by l?
5
Let a(k) = -k**3 + 5*k**2 + k + 6. Suppose -33*r + 4 = -31*r. What is the remainder when a(5) is divided by r?
1
Let j be 18/4*(-10)/(-15). What is the remainder when -66*(-3)/6*(-2 + j) is divided by 17?
16
Let y = -352 + 407. Calculate the remainder when 274 is divided by y.
54
Suppose -5*z - 6*z = -1298. What is the remainder when z is divided by 24?
22
Let x(s) = -21*s**3 + s**2 + 2*s + 1. Let q(h) = -4*h - 2*h + h - 2. Calculate the remainder when x(-1) is divided by q(-2).
5
Let h be -1 + (4 - (1 + 0)). Suppose -13*f + 255 = h*f. Calculate the remainder when 116 is divided by f.
14
Let b(x) = 2*x**3 - x**2 + 2*x + 2. Let d be b(-1). Let p(r) = r**3 + 3*r**2 - r + 2. What is the remainder when p(d) is divided by 1?
0
Let n = -20 - -25. Calculate the remainder when 7 is divided by (12 - n) + 0 + -3.
3
Suppose 5*x + 2*d + 9 - 37 = 0, -16 = -2*x - 2*d. What is the remainder when 45 is divided by x?
1
Let a = -688 - -973. Let o = a + -156. What is the remainder when o is divided by 33?
30
Suppose -374 - 53 = -5*p - b, 3*b = -2*p + 163. Calculate the remainder when p is divided by 26.
8
Suppose 2*w + 5*i = -0*w + 51, -5*w = -i - 60. Let v(z) = -2*z + 30. Calculate the remainder when w is divided by v(13).
1
Suppose -2*q = 2*q - 40. Calculate the remainder when 9/(-36)*8 - -28 is divided by q.
6
