d by f.
61
Let r(o) = -7*o + 4. Suppose 4*x - 2*l - 1060 = 0, x = -2672*l + 2669*l + 258. Calculate the remainder when x is divided by r(-7).
52
Let c = 15 - -2. Let s be 2*845/(-52)*(-2)/(-5). What is the remainder when c is divided by (1/(-2))/(s/260)?
7
Suppose -110 = -3*k + 8*k. Let o(r) = r**3 + 22*r**2 - 5*r - 48. Let m = 65 - 44. What is the remainder when o(k) is divided by m?
20
Let j = -7337 + 7450. What is the remainder when 284 is divided by j?
58
Suppose -6*t + 4*t = -5*g - 217, -4*t + 2*g + 442 = 0. Let m = -80 + t. Calculate the remainder when m is divided by 4.
3
Suppose -2*y = -19*f + 24*f - 445, f + 3*y - 76 = 0. Calculate the remainder when 354 is divided by f.
81
Let z be 8/(-52) + (-168)/(-78). Suppose -279 - 177 = -z*l. Calculate the remainder when l is divided by 26.
20
Suppose -16*j + 5725 + 3539 = 0. Suppose 3*y + 58 = k, -204 = -7*k + 4*k + 3*y. What is the remainder when j is divided by k?
68
Let n be -1 + 3/12 + (-8361)/36. Let t = n - -260. Calculate the remainder when 42 is divided by t.
15
Let l(d) = 928*d + 3885. What is the remainder when l(-4) is divided by 54?
11
Let m = -143 - -143. Suppose -5*w + 4*a = -27 - 53, m = -2*w - a + 32. Calculate the remainder when 27 is divided by w.
11
Let u = 88 - 53. What is the remainder when u is divided by (-2)/7*(-2380)/40?
1
Suppose -5*m + 11 - 41 = 0. Let w = -40 - -28. What is the remainder when 34 is divided by (-82)/m + 8/w?
8
Let k = -22115 - -22119. What is the remainder when 20 is divided by k?
0
Calculate the remainder when 46 + (-2 - (1 - 1)) is divided by 2 + 95/(-50) - (-1014)/60.
10
Let c(g) be the second derivative of 4*g**3 - 61*g**2/2 + 87*g. What is the remainder when c(4) is divided by 12?
11
Let s(f) = 8*f**2 + 77*f + 118. Calculate the remainder when 1582 is divided by s(-8).
0
Suppose -3*p + 14 = -4*o + 2, -5*p + 4*o + 28 = 0. Let k be (-2)/(-5)*(2 + p). Suppose 0 = -0*x - k*x + 144. Calculate the remainder when x is divided by 10.
6
Let a(k) = -k**3 - 12*k**2 + 105*k - 44. Let n = -55 - -112. Let f = 101 - n. What is the remainder when f is divided by a(-18)?
4
Let k(p) = -232*p + 20578. Let x = 146 - 80. Calculate the remainder when k(87) is divided by x.
64
Let q(f) = 15*f**2 + 56*f + 104. What is the remainder when 55 is divided by q(-2)?
3
Suppose -21*h - 87 + 318 = 0. Calculate the remainder when 2341 is divided by h.
9
Let d be -1*(-3 + 0) - 2. Let j(m) = 22*m**3 + 3*m - 1. Calculate the remainder when j(d) is divided by 13.
11
Let g(o) = -2*o**3 + o**2 - 11*o - 30. Suppose -8 = 375*r - 373*r. What is the remainder when g(r) is divided by 32?
30
What is the remainder when (5058/(-81))/((-7)/63) is divided by 94?
92
Suppose -2*i + h = 190, 0 = i + 3*h + 43 + 66. Let n = i - -220. Suppose -9362 = -497*q + 195*q. Calculate the remainder when n is divided by q.
30
Let a be 20/3*(-168)/(-5). Let c = 362 - a. Let h(w) = -w**3 - 3*w**2 + 14*w + 28. Calculate the remainder when c is divided by h(0).
26
Let r(v) = 3*v**2 - 5*v - 9. Calculate the remainder when r(-7) is divided by 27.
11
Let j(c) = 2*c**3 - 3*c**2 - 11*c - 36. Let r be j(11). Let q = r - 2118. Calculate the remainder when ((-2)/4)/(2/(-560)) is divided by q.
20
Suppose 0 = -2*b - 6*j + 8*j + 62, 2*b = j + 61. Calculate the remainder when 76 is divided by b.
16
Let d(r) = 8*r**2 - r - 2. Suppose -9*b + 8*b = 1. Calculate the remainder when 1/(-3) - (0 + (-164)/6) is divided by d(b).
6
Suppose -4*o + 3*x = -4107, 8*o = 5*o - x + 3090. Let n = -832 + o. Calculate the remainder when n is divided by 69.
59
Let b be (-1)/(72/(-69) + 1). Let p = b + -11. Let w = -684 - -706. Calculate the remainder when w is divided by p.
10
Let p = 38 - 20. Suppose 23*h - 3832 - 2378 = -4*h. Calculate the remainder when h is divided by p.
14
Suppose 5*b - 448 = -4*s, 166 + 20 = 2*b + 5*s. Suppose 264 + b = 8*x. What is the remainder when x is divided by 12?
8
Let g be ((-40)/(-14))/5*(-7)/(-2). Suppose -g*l - 18 = 3*z - 79, -47 = -2*z + 5*l. Let b = z - 15. Calculate the remainder when 17 is divided by b.
5
Suppose 2*i + 6 = 3*i. Suppose 5*x = 25, -i*r = -3*r - 3*x - 30. What is the remainder when r is divided by 4/2 - 6*28/(-21)?
5
Suppose -40638 = 57*o - 152*o + 69*o. Calculate the remainder when o is divided by 54.
51
Let l(f) = 2*f**3 + 99*f**2 + 925*f + 76. Suppose 0 = 3*q - 3 - 3. Calculate the remainder when l(-37) is divided by q.
0
Suppose -3*m - 2*a - 11 - 3 = 0, 2*a = 3*m + 22. What is the remainder when (64/12)/(2/(-6))*m is divided by 11?
8
Let k = 7165 - 7024. What is the remainder when k is divided by 41?
18
Let w(c) = 4*c**2 - 50*c + 270. What is the remainder when 499 is divided by w(12)?
7
Let y = 6865 - 6639. Calculate the remainder when 2019 is divided by y.
211
Suppose 2*x = -3*x + 20. Let j = 18 - x. Calculate the remainder when 6 is divided by (-16)/112 + 44/j.
0
Suppose 0 = -5*i + 3*i + 504. Suppose 6*q - 2*q = i. Suppose 34*z + 2*z = 468. What is the remainder when q is divided by z?
11
Let p = -4424 - -5243. What is the remainder when p is divided by 69?
60
Let j = 20 - 20. Suppose j = 2*w - 0 - 36. What is the remainder when (15/(-10))/((-2)/92) is divided by w?
15
Suppose -615 = -13*n - 2*n. Calculate the remainder when 409 is divided by n.
40
Let u be 0/(((-2)/6)/(5/15)). Suppose u*n = n + 5. Let p = n + 58. Calculate the remainder when p is divided by 28.
25
Let x(f) = -23*f + 352. Let l be x(15). Calculate the remainder when ((-12)/(-5 - l))/((-1)/(-44)) is divided by (-15)/(-1) - 0/(-2).
14
Let g be ((-7)/(-21))/((-4)/(-36)). Suppose 4*h - g*h = 4. Suppose -h*x - 11 = -219. Calculate the remainder when x is divided by 11.
8
Let m(y) = -38*y. Let s(z) = z**3 - 46*z**2 + 502*z - 551. Calculate the remainder when s(30) is divided by m(-1).
33
Suppose 86 - 428 + 3891 = 39*w. Calculate the remainder when w is divided by 21.
7
Suppose -2*y + 5*w = 5, 111*y - 3*w = 106*y + 54. What is the remainder when 11591 is divided by y?
11
Let i(z) = -15*z + 9*z + 7*z + 0 - 1. Let y be i(3). Calculate the remainder when 52 is divided by 38*(-1)/y*-1.
14
Let r be (-4)/14 + 0 + 1634/(-14). Suppose -2*q - 500 = -6*q. Let c = q + r. What is the remainder when 22 is divided by c?
6
Calculate the remainder when 616 is divided by (4 - (-48)/(-14))/(8 - (-55)/(-7)).
0
Suppose 0*r - 2*r = n - 8, -4*r + 3*n + 16 = 0. What is the remainder when (7 + -9 - -2) + 54 is divided by (-55)/(-4) - (-1)/r?
12
Suppose 43*p + 21*p - 4608 = 0. Calculate the remainder when 1799 is divided by p.
71
Suppose 3*r - 360 = -5*v - 0*v, 2*r - 3*v - 259 = 0. Suppose -490*c + 485*c = -r. Calculate the remainder when 66 is divided by c.
16
Let g(v) = v**3 + 4*v**2 + 7*v + 5. Let x be g(-2). Let t be 9/18*(15 + x). Suppose 15*z = t*z + 128. Calculate the remainder when z is divided by 7.
2
Let u be 2/(-12) + 643/6. Suppose u - 431 = -9*q. What is the remainder when 58 is divided by q?
22
Suppose 2*l = 8*l. Suppose l*y + 336 = 14*y. What is the remainder when 92 is divided by y?
20
Let r(w) = 5*w. Let s be r(1). Suppose 2*u - 5*i = 4*u + 154, s*u + 327 = 2*i. Let o = -19 - u. What is the remainder when o is divided by 18?
12
Let j(f) = -f**3 + 101*f**2 + 129*f - 1627. What is the remainder when j(102) is divided by 223?
12
Let x(p) = -p**3 + 7*p**2 + 37*p - 209. Suppose -2*z = 2*z - 376. Calculate the remainder when z is divided by x(5).
16
Suppose 0 = -2*j + 10 - 0. Suppose 0*s + s = 4*q + 16, j*q + 27 = 3*s. What is the remainder when 22 is divided by s?
2
Let y(o) = 13*o - 1. Suppose 5*m + 4*q - 209 = 0, -5*m + 161 = -2*q - 42. Suppose 10*t = -21 + m. Calculate the remainder when y(1) is divided by t.
0
Let y(u) = -u**3 - 4*u**2 + 6*u + 5. Suppose 144 = 5*h + 4*f, h + 6*f = -2*f + 36. Calculate the remainder when y(-7) is divided by h.
26
Let h(k) = 59 - 116 + 50 - 2*k. Calculate the remainder when 19 is divided by h(-9).
8
Let j = -260 + 360. Calculate the remainder when 493 is divided by j.
93
Let p = -4212 + 4233. Let d(u) = u**3 - u**2 - 2*u + 182. Calculate the remainder when d(0) is divided by p.
14
Let k = -780 + 774. What is the remainder when 269 is divided by (2 - -5)/((-2)/k)?
17
Let t = -1525 + 1611. Calculate the remainder when 455 is divided by t.
25
Let x = 27 + 23. Let n = 53 - x. Suppose 2*d = n*q + 2*q + 61