8).
15
Let l(h) = 6*h**2 + 6*h + 13. Let i(n) = n - 3. Let f be i(0). What is the remainder when l(f) is divided by 25?
24
What is the remainder when (372/(-18))/((-1)/3 - 0) is divided by 17?
11
Let k = -39 - -6. Let z = k + 65. What is the remainder when z is divided by (-44)/(-6)*(-6)/(-4)?
10
Suppose 0 = 4*d + 4*j - 156, 3*d - 25 = -2*j + 87. Let k = d - -21. Let q = k + -21. What is the remainder when q is divided by 18?
16
Calculate the remainder when 2/((-72)/(-4938)) + 1/(-6) is divided by 104/3 - (-9)/27.
32
Let n be 11/(-44) - 1/((-8)/842). Let d = n - 89. Calculate the remainder when 335 is divided by d.
15
Let o(u) = -4*u**2 + 3*u**2 + u**2 + 6 + 2*u**2 + 13*u. Suppose -9*p + 121 + 41 = 0. Calculate the remainder when o(-9) is divided by p.
15
Suppose 5*j + 5*d + 5 = 0, 0 = -3*d + 4 + 2. Let z(v) = 7*v - 4. Let f be z(j). Let k = -13 - f. Calculate the remainder when 33 is divided by k.
9
Let g(a) = 15*a + 4. Let x(j) = 2*j - 1. Suppose -3*o - 2 = -8. Let s be x(o). Calculate the remainder when g(s) is divided by 13.
10
Suppose 0 = -2*n + 108 - 22. Let d(u) = 12*u**2 + 8*u - 1. Calculate the remainder when d(-3) is divided by n.
40
Let p = 200 - 151. Calculate the remainder when 188 is divided by p.
41
Let b = -93 + 123. What is the remainder when (-1)/(-4) - (-1414)/8 is divided by b?
27
Let g(x) be the third derivative of -5*x**4/24 - 23*x**3/6 + 2*x**2. What is the remainder when 33 is divided by g(-8)?
16
Suppose 3*y - 5*y + j = -161, 3*y = j + 239. Suppose -2*c = -16 - 58. Let b = c + -17. What is the remainder when y is divided by b?
18
Let d(l) = 4*l - 10 - 2 - 8. What is the remainder when 9 is divided by d(6)?
1
Suppose 2*o + 4*k = 14, 3*o - 32 = 2*k + 29. Let m be -6*5/(-180) + 407/6. Let j = -1 + m. What is the remainder when j is divided by o?
16
Let b = -1200 + 2508. What is the remainder when b is divided by 23?
20
Suppose -3*r = -12*j + 10*j + 532, -2*r = 5*j - 1311. Calculate the remainder when j is divided by 66.
65
Let i = 9 + -5. Let t(j) = -18*j - 155. What is the remainder when t(-12) is divided by i?
1
Suppose -14*g + 65 = 9. Calculate the remainder when 23 is divided by g.
3
Let q(y) = -2*y + 36. Let n be q(20). Suppose -4*f = -f - 78. What is the remainder when 42/9*21 - n is divided by f?
24
Suppose 0 = 3*g - 754 - 5. What is the remainder when g is divided by 37?
31
Let k(l) = -5*l + 148. What is the remainder when 19 is divided by k(28)?
3
Suppose -d + 4*v = 4, 5*d + v = -0*v + 43. Let n(s) = 4*s - 28. Suppose -5*k - 5 = -20. What is the remainder when n(d) is divided by k?
1
Let f(h) = 74*h - 142. What is the remainder when 117 is divided by f(2)?
3
Suppose 3*h + j = 46, -18*h - 55 = -22*h + 5*j. What is the remainder when 87 is divided by h?
12
Let v(i) = -i**3 - 5*i**2 + 3. Let h be v(0). Suppose -h*r + 133 = 40. Calculate the remainder when r is divided by 5.
1
Let m be (3/(-4))/3 - 156/(-48). Suppose -5*u + q = m*q - 874, -3*q = -4*u + 690. Calculate the remainder when u is divided by 59.
56
Suppose -5*o = -4*k - 753, k - 492 = -3*o - 47. What is the remainder when o is divided by 22?
17
Let x(n) = 2*n**3 - 4*n + 3. Let k be x(2). Suppose 3*a + 4 = 10. Suppose a*u - k = u. What is the remainder when u is divided by 7?
4
Suppose -4*i - i + 10 = 0. Calculate the remainder when (-3 + (-18)/21 + (-183)/(-42))*14 is divided by i.
1
Let t = -876 + 1026. Calculate the remainder when t is divided by 78.
72
Let y = 607 - 582. Calculate the remainder when 195 is divided by y.
20
Let h be (-2)/(-4) - (-6)/4. Suppose -1 + 9 = h*s, -5*s + 165 = 5*f. Let g(d) = -d**3 + 4*d**2 + 8*d - 5. What is the remainder when f is divided by g(5)?
9
Let q(k) = -k**2 + 6*k + 14. Let u(r) = -1. Let g(s) = -q(s) - 4*u(s). Calculate the remainder when 13 + (-4)/(2/1) is divided by g(8).
5
Let s = 7 - 6. Let n(p) = 44*p**3 + 2*p - 1. What is the remainder when 268 is divided by n(s)?
43
Suppose 16*t = 8*t + 456. Calculate the remainder when t is divided by 23.
11
Suppose -5*j + 4 + 6 = 0. Let m(f) = f**3 + 14*f**2 - 15*f + 9. Calculate the remainder when m(-15) is divided by j.
1
Let h be (2/(-6) + 1)*-3. Let c(p) = -2*p - 20. Let u be c(-3). What is the remainder when 45 is divided by (-172)/u + h/7?
9
Let a = 81 - 58. What is the remainder when (-1)/2 - 1603/(-14) is divided by a?
22
Let g(a) = 6*a - 4. Suppose 3*x = -j + 139, 7*x = 5*j + 5*x - 644. What is the remainder when j is divided by g(8)?
42
Suppose -52 - 116 = -12*c. Let k be -30*((-12)/(-9))/(-2). Suppose k = 3*u - 4. What is the remainder when c is divided by u?
6
Let f = -245 + 512. Suppose q = 4*q - f. Calculate the remainder when q is divided by 31.
27
Let p(f) = 14*f**2 - 10*f - 21*f**2 + 11*f**2. What is the remainder when p(7) is divided by 32?
30
Let i = -162 - -172. Suppose 0 = i*v - 664 - 436. What is the remainder when v is divided by 37?
36
Let w = 29 - -7. Suppose 4*d + 2*n + 2*n = w, -3*n = -3*d + 33. Let q(g) = -g + 28. Calculate the remainder when q(0) is divided by d.
8
Let y(c) = 0 + 2*c**2 + c**2 + 7*c - 5*c**2 - 4. Let t be y(4). What is the remainder when ((-4)/t)/((-2)/(-172)) is divided by 22?
21
Let h(j) be the second derivative of j**3/6 + 5*j**2/2 + 3*j. Suppose 0 + 18 = 3*x. Calculate the remainder when h(4) is divided by x.
3
Suppose -z - 2 = -111. Suppose 298 = 13*v - 66. Calculate the remainder when z is divided by v.
25
Let c = 5 + -1. Suppose 3*h + v + 1 = 0, 4*v = -0*h + 3*h - 19. Suppose -s = -4 + h. What is the remainder when c is divided by s?
1
What is the remainder when 2/((-12)/(-114)) - 2 is divided by 10?
7
Let t(h) = -2 + 9 + 9*h + 41. What is the remainder when 44 is divided by t(-4)?
8
Let o be (-10)/(-3 + 38/14). Let i = -21 + o. What is the remainder when 54 is divided by i?
12
Suppose -3*a + 2*a = -b - 406, -3*a + 1210 = b. Suppose -21*n = 5 - a. Suppose -6*t + 3*t + 15 = 0. What is the remainder when n is divided by t?
4
Suppose 2*c + 5 = -i, 5*i - 3*c - 9 = 31. Suppose i*f - f - 256 = 0. Let a = f + -21. Calculate the remainder when a is divided by 15.
13
Let b be 4 + 20 + 2 + 0. Suppose -3*t = -143 + b. Let z = 533 + -523. What is the remainder when t is divided by z?
9
Suppose 47*h - 11*h - 360 = 0. What is the remainder when 66 is divided by h?
6
Suppose -k = 7*k + 104. Let t(m) = -3*m - 29. Calculate the remainder when 49 is divided by t(k).
9
Let j(f) = f**2 - 2*f - 125. What is the remainder when j(-16) is divided by 43?
34
Let u = 9 - 7. Let m be (u/(-4))/((-5)/50). Suppose 0*q - m*w - 49 = -3*q, -31 = -2*q + 5*w. Calculate the remainder when q is divided by 7.
4
Let z = -67 - -96. Let q = 39 + -59. Calculate the remainder when z is divided by 11 + 23/(-7) + q/(-70).
5
Let o be (0 - -2)*(3 - (-9)/(-18)). Suppose 2*y = 3*t + 2*t + 73, 191 = o*y - 4*t. Calculate the remainder when 115 is divided by y.
37
Suppose 2*i + 134 = 242. What is the remainder when 425 is divided by i?
47
Let v(z) = -2*z - 2. Let p(y) = y**2 - y - 1. Let d(j) = -6*p(j) + 6*v(j). Let i be d(-3). What is the remainder when 44 is divided by 24*(i/(-9) - 4)?
12
Let q = 8 + -6. Suppose q = 2*r - 12. What is the remainder when 34 is divided by r?
6
Calculate the remainder when ((-352)/12 - 4)*18/(-15) is divided by 7.
5
Let v = -58 + 40. Let q = v + 21. Suppose -q*k = -31 - 38. Calculate the remainder when k is divided by 9.
5
Suppose 0 = 50*n - 23*n - 729. Calculate the remainder when 213 is divided by n.
24
Let p = 124 + 30. Let j = -101 + p. What is the remainder when j is divided by 15?
8
Suppose 0 = y + 5*y - 30. Suppose 0 = y*f + 1 + 14. Calculate the remainder when (0 + -3)/f + 28 is divided by 8.
5
Let m(x) = -x + 1. Let h(u) = u**3 - 6*u**2 + 2*u + 16. Let j be h(5). Calculate the remainder when m(-4) is divided by -4*j/(-1) - 1.
2
Suppose 7*f = 5*f + 28. Calculate the remainder when ((-21)/f)/((-9)/582) is divided by 25.
22
Let z(o) = -17*o + 19. Let k be z(8). Calculate the remainder when (k/12)/(2/(-24)) is divided by 20.
17
Let b(l) = -l**2 - 3*l + 17. Let t be b(0). Calculate the remainder when 12 is divided by 6/8 - t/(-4).
2
Suppose 5*r = 99 - 4. Suppose 294 = -152*m + 173*m. What is the remainder when r is divided by m?
5
Let i(w) = 3*w**2 - w + 1. Suppose 9*d - 8*d = -11. Let g = d + 12. What is the remainder when i(1) is div