late the remainder when f(10) is divided by 8.
5
Let d be (-1)/((-1)/(-108))*34/(-3). What is the remainder when ((-20)/6)/((-12)/d) is divided by 38?
36
Suppose 0*f - 2*l = f + 80, f + 80 = 5*l. Let v = 73 - f. Calculate the remainder when v is divided by 26.
23
Let d(a) be the first derivative of 7*a**3/3 + 6*a**2 - 27*a - 90. Let w = 3 + 10. Calculate the remainder when d(2) is divided by w.
12
Let l = -87 + 97. What is the remainder when 133 is divided by l/5*4/(32/68)?
14
Suppose 336 + 722 = 3*c - 5*m, 1712 = 5*c - m. Calculate the remainder when 1042 is divided by c.
19
Let f = -236 - -252. Suppose f*u + 7092 = 52*u. What is the remainder when u is divided by 40?
37
Calculate the remainder when (-264)/(-18)*84/8 is divided by 0/4 - (-80 + 2).
76
Let a = -11486 - -11528. What is the remainder when 7727 is divided by a?
41
Suppose 0*m + 82 = 2*m + 2*x, -2*m - 4*x + 76 = 0. Let n = -1252 - -3479. Suppose 0 = -9*a - 8*a + n. Calculate the remainder when a is divided by m.
43
Suppose 0 = 5*b + 3*b - 56488. Calculate the remainder when b is divided by 2353.
2
Suppose 4*u - 328 = 2*f - 6*f, 2*f = -5*u + 164. Suppose 0*v = v - f. Calculate the remainder when v is divided by 43.
39
Let v be 35/8 - (-117)/(-312). Suppose 0 = -3*s + 5*k + 558 - 101, 2*s - v*k = 304. What is the remainder when s is divided by 39?
37
Let h(b) = -b**3 + 10*b**2 - 6*b + 20. Let i be h(9). Let t = 46 + i. Let v = 22 - -2. What is the remainder when t is divided by v?
21
Let x(u) = -u**3 - 4*u**2 - 3*u + 4. Let d = -19196 - -19219. What is the remainder when x(-5) is divided by d?
21
Suppose b = 2*b - 23. Suppose -2*a + 5*n + 260 = -108, -a + 2*n + 188 = 0. Calculate the remainder when a is divided by b.
20
Suppose -825 = -64*g + 455. What is the remainder when 177 is divided by g?
17
Let n = -11762 - -12777. Calculate the remainder when n is divided by 31.
23
Let y = -14 + 43. Let t(k) be the first derivative of -k**4/4 + 8*k**3 - 23*k**2/2 + 55*k - 32. Calculate the remainder when t(23) is divided by y.
26
Suppose 12*i + 179 = 17*i - f, 167 = 5*i + 2*f. Suppose 33*u = i*u + 8, u = n - 50. Calculate the remainder when n is divided by 45.
1
Let h(g) = -14*g + 242. What is the remainder when h(0) is divided by 85?
72
Let h(r) = -2*r**2 - 14*r + 52. Let t = -70 + 100. What is the remainder when t is divided by h(-9)?
14
Let l(y) = -y**3 - 48*y**2 + 71*y + 834. What is the remainder when l(-50) is divided by 109?
104
Suppose 2228 = 48*g + 6836. Calculate the remainder when 121 is divided by (-4)/(-6) - 2528/g.
13
Let i(t) = -t**2 - 33*t + 99. Let u be i(-34). Suppose y + u = 2*o, 3*o - 2*o - y - 31 = 0. Calculate the remainder when o is divided by 26.
8
Suppose 4*u - 23 = 105. Suppose 1413 + 3462 = 39*a. What is the remainder when a is divided by u?
29
Let n(g) be the third derivative of 17*g**5/60 + g**4/24 + g**3/6 + 2*g**2. Calculate the remainder when (-49)/(4/12*-3) is divided by n(-1).
15
Suppose o + 21*l - 16*l - 177 = 0, 531 = 3*o - 3*l. What is the remainder when 878 is divided by o?
170
Let s(n) = 89*n + 10. Let c = 160 - 157. What is the remainder when s(c) is divided by 28?
25
Let l(u) = -5*u + 37. Let h be l(-6). Let y = h - 62. Suppose 3*k + y*b = 5, 3*k = 4*k + b - 5. Calculate the remainder when 36 is divided by k.
6
Let z = 348 - 344. Suppose 0 = z*h + d - 801, 25*h - 799 = 21*h + d. What is the remainder when h is divided by 29?
26
Let m = 23 - 21. Suppose -42 = -g + o, 109 = -0*g + m*g + 3*o. Let j = g + -45. Calculate the remainder when 11 is divided by j.
1
Let s = 113 - 109. Suppose s*l = 12*l - 8. Calculate the remainder when (63/(-18))/(l + (-6)/4) is divided by 3.
1
Let q = -81 - -95. Suppose -3*m - q = -35. Suppose 4*c - 3*c - 19 = 0. Calculate the remainder when c is divided by m.
5
Let q(x) = -x**3 + 13*x**2 - 5*x + 17. What is the remainder when q(6) is divided by 124?
115
Let w(h) = 274*h**3 - h**2. What is the remainder when w(1) is divided by ((-31)/2)/((-2)/(-8) + (-350)/840)?
87
Suppose 4*y - y - 2*d = 113, 4 = 2*d. Let n be (-39)/(-26)*(3 - 2283/9). Let i = -366 - n. Calculate the remainder when y is divided by i.
9
Suppose -11*y + 539 = -0*y. Let g = 67 - y. Let h(d) = 16*d**2 - d - 5. What is the remainder when h(-2) is divided by g?
7
Suppose -3*c = -3*z + 195, 13*z + 5*c = 14*z - 45. Calculate the remainder when 215 is divided by z.
5
Suppose q - 3*r = 4*q - 51, q - 4*r = 22. Let z(i) = i**2 + 23*i + 77. Let h be z(-5). What is the remainder when q is divided by h/(-26) + 21/2?
7
Let h(n) = -n**3 - 13*n**2 + 28*n - 25. Let d be h(-15). Suppose -d*p + 112 = 22. What is the remainder when 107 is divided by p?
17
Suppose 3*b + 5*g - 3*g = 70, -5*g - 12 = -b. Suppose 80 = 3*s - b. What is the remainder when 76 is divided by s?
8
Let o(r) = -r - 87. Let l be o(0). Let m = l - -106. What is the remainder when m is divided by (-7)/(-1) + 2 + -4?
4
Let u be ((-1740)/25)/((-8)/20). Suppose 7*r = 2*r - 25, 3*x = -3*r + u. Calculate the remainder when 251 is divided by x.
62
Suppose 0 = 1439*u - 1444*u + 1640. Let s = u - 274. What is the remainder when s is divided by 23?
8
What is the remainder when (7 - (-158323)/55) + 14/10 is divided by 241?
236
Suppose -3*t + 5520 = 3*t + 2*t. What is the remainder when t is divided by 162?
42
Let w(t) = 16*t**2 - 137*t + 533. Calculate the remainder when 12048 is divided by w(4).
239
Let q(m) = 14*m - 24. Let a(o) = 26*o - 47. Let b(g) = -3*a(g) + 5*q(g). Calculate the remainder when b(-11) is divided by 28.
25
Let q = 783 - 770. Let w = -20 + 161. Calculate the remainder when w is divided by q.
11
Let g be (-20)/6*(-6)/(-20)*5. Let d(y) = -5*y + 4. Let p = 11 - -41. What is the remainder when p is divided by d(g)?
23
Let s(v) = 26*v**2 - 27*v + 55. Let u be s(2). Suppose 728 = u*n - 79*n. Calculate the remainder when 222 is divided by n.
26
Let m(f) = f**2 + 29*f - 545. What is the remainder when 153 is divided by m(13)?
0
Let a(c) = -2*c**3 + 31*c**2 - 16*c + 22. Let p(u) = u**2 + 3*u - 11. Calculate the remainder when p(6) is divided by a(15).
1
Let j(r) = r - 30. Let o be j(28). Calculate the remainder when 182 is divided by 69/9*(o - -8).
44
Let y(x) = 95*x + 3206. Calculate the remainder when 418 is divided by y(-33).
63
Suppose c + 4*b + 64746 = 4*c, -3*b = -2*c + 43162. What is the remainder when c is divided by 11?
8
Suppose 4*i + 4 = -4*w, 0 = 5*w + 3*i - 5*i - 2. Suppose w = f - 12 - 4. What is the remainder when 47 is divided by f?
15
Let q = 9 + -5. Suppose -4*g - q*f = -148, 2*g - 2*f = f + 89. Suppose 3*y + 4*w - 28 - 19 = 0, 2*y + 3*w = 30. Calculate the remainder when g is divided by y.
19
Let n = -3986 + 5382. Calculate the remainder when n is divided by 289.
240
Calculate the remainder when 6 + 0/(-8 - -7) + 586 + 1 is divided by 85.
83
Let o(f) = 4*f**3 + 12 + 0*f**3 - 3*f**3 - 6*f**2 - f. Let i be (-2)/(-17) + 5300/901. Calculate the remainder when 52 is divided by o(i).
4
Suppose 13032*a - 12540 = 13010*a. What is the remainder when a is divided by 170?
60
Suppose -22*p = -4*p - 4464. Suppose -6*i + 2*i = 3*l - 197, 0 = 5*i + 2*l - p. What is the remainder when 193 is divided by i?
43
Let b(t) = -t**3 + 29*t**2 + 62*t - 19. Let y be b(30). Let x = 969 - y. Calculate the remainder when 44 is divided by x.
16
What is the remainder when 55 is divided by (-1 + 3)/(12*(-12)/(-2376))?
22
Suppose 0 = q - w - 7562, 2*q - 5527 = -4*w + 9555. What is the remainder when q is divided by 56?
51
Suppose -2*q + 256 = t + 45, t = -3*q + 317. Suppose 35*d - q = 33*d. Calculate the remainder when 102 is divided by d.
49
Let m(i) = i**3 + 6*i**2 + 2*i. Let o = -14 - -9. Let g(x) = -3*x**3 - 733*x**2 - 384*x - 34131. What is the remainder when g(-244) is divided by m(o)?
14
Suppose -4*a + 66 - 10 = 0. Suppose -375 = -a*c + 87. Calculate the remainder when 60 is divided by c.
27
Suppose -90*u + 102379 = -79818 + 26767. What is the remainder when u is divided by 43?
7
What is the remainder when ((-66)/165 + (-21)/(-15))*73 is divided by 32?
9
Suppose -14*o - 98 = -7*o. Calculate the remainder when (-4)/o + (-1416)/(-42) is divided by 8.
2
Suppose -22 = -6*w - 10. Calculate the remainder when ((-44)/(-6) + -5)/(w/108) is divided by 8.
6
Suppose 75 = 2*h + h. Suppose -q - 4*q + h = 0. What is the remain