).
86
Let l(h) be the third derivative of -h**4/24 + 20*h**3/3 + 4*h**2 - 8. Calculate the remainder when 119 is divided by l(0).
39
Suppose 0 = -169*i + 1858 + 2874. Calculate the remainder when 53 is divided by i.
25
Let c(s) = -8*s + 92. Let f be 4/(-1 + (-45)/(-42)). Suppose 4*q = q + 4*d + 23, -f = -4*q - d. Calculate the remainder when c(7) is divided by q.
10
Let q(k) = 53*k + 133. What is the remainder when q(0) is divided by 12?
1
Let q(r) = 563*r + 2807. Let o be q(-5). Suppose 38 = -4*w + 5*w. Let z = w - o. What is the remainder when 137 is divided by z?
45
Let f = 46 - 22. What is the remainder when f is divided by (-1150)/(-90) + (-8)/(-36)?
11
Let k(j) = -j**3 + j**2 + 6*j + 27. Let c be k(0). Suppose 957 = c*s - 663. What is the remainder when 119 is divided by s?
59
Let r(g) = -139*g**3 - 2*g**2 - 141*g - 832. What is the remainder when r(-5) is divided by 344?
342
Let h = -9 - -30. Let r(n) = n**3 - 13*n**2 + 14*n - 12. Suppose m + 2*m = -3*z + 39, -m = -2*z - 10. What is the remainder when h is divided by r(m)?
9
Calculate the remainder when (-11)/1 + (-7276)/(-4) is divided by 55.
48
Let c(v) = -749*v**3 - 17*v**2 - 44*v - 13. What is the remainder when c(-2) is divided by 24?
23
Let h = -5063 - -5627. What is the remainder when 571 is divided by h?
7
Let w(d) = 2340*d - 18298. What is the remainder when w(8) is divided by 99?
26
Let b(c) = 7*c**3 - 126*c**2 - 2*c + 55. What is the remainder when 39 is divided by b(18)?
1
Suppose -2*z + 4*a - 5 = 7, -38 = 4*z - a. Let i be (-12)/z*(-30)/(-9). Suppose 0 = b - i - 0. Calculate the remainder when 14 is divided by b.
2
Let a be (-14 + 10)*(-3)/6 - 3. What is the remainder when 300 is divided by 61*(a/(-3) - 16/(-24))?
56
What is the remainder when (-3726)/(-45)*55/11 is divided by 135?
9
Suppose 3*w = w + 28. Calculate the remainder when 35/(-225) - (-15)/25 - 992/(-36) is divided by w.
0
Let a(s) = -2*s - 1. Let t(z) = 2*z - 78. Let l(o) = 4*a(o) - t(o). Calculate the remainder when l(5) is divided by 12.
0
Let o = 11461 - 3082. Suppose -11*z - 46*z + o = 0. Calculate the remainder when z is divided by 54.
39
Let t = 61 - 49. Suppose -396 = -t*u + 1080. Let z = 21 - 7. What is the remainder when u is divided by z?
11
Suppose -4*x + 32 = 3*c - 8*c, -x = 3*c + 9. Calculate the remainder when 66 is divided by 51/153 + 53/x.
12
Let z be -2 + 7 - (0 + 7/7). Suppose -5*w - 112 = 4*t - 421, 301 = 5*w - z*t. Suppose -8*k = -3*k - 110. What is the remainder when w is divided by k?
17
Let v = 22865 - 22842. Let g(f) = -46*f - 1. Let t be g(2). Let u = 159 + t. What is the remainder when u is divided by v?
20
Suppose -8*i - 221 = -13*i + 134. What is the remainder when 258 is divided by i?
45
Let h(v) be the second derivative of 3*v**4/4 + 2*v**3 + 67*v**2/2 + 3*v. What is the remainder when h(-5) is divided by 13?
11
Let d = 6024 + -5947. Let g(p) = -459*p. What is the remainder when g(-1) is divided by d?
74
Suppose -562 = -5*n + 2*s, 5*n - 195 - 368 = 3*s. Suppose f = -f + 76. Calculate the remainder when n is divided by f.
36
Let q(x) = 12*x**2 + 5*x + 3. Let p be q(-3). Let c = -17 - -70. Let h = p - c. Calculate the remainder when h is divided by 16.
11
Let y = 2869 + -2828. What is the remainder when y is divided by 25/((4/(-2))/(-2))?
16
Let t(d) = 3*d**2 - 7*d + 9. Let g be t(2). Suppose g*j + 11 = 81. Suppose p - 3 - 27 = 0. Calculate the remainder when p is divided by j.
0
Let d be (-3)/(-9)*3*223. Suppose d = -8*h + 479. Calculate the remainder when 414 is divided by h.
30
Let c = 8081 - 7871. Let s(q) = -34*q - 3. What is the remainder when c is divided by s(-2)?
15
Let a(l) = l**2 + 19*l + 60. Let h be a(-4). Suppose -4*x + 230 + 14 = h. Calculate the remainder when 142 is divided by x.
20
Suppose -4*p = -5*p + 5*z + 42, -2*p + 4*z = -84. Let v(i) = 9 - 27*i**2 + 53*i**2 - 14*i - 25*i**2. Calculate the remainder when p is divided by v(14).
6
Let x(j) be the second derivative of j**4/12 + 2*j**3/3 + 15*j**2/2 + j. Let u = -17 + 33. What is the remainder when x(-9) is divided by u?
12
Suppose 0 = 3*x - 2*t + 3*t - 178, -x + t = -62. Calculate the remainder when 186 is divided by 1030/x - 3/18.
16
Suppose 113*q = -3*u + 110*q - 1707, 0 = 4*q - 12. Let d = -548 - u. What is the remainder when 44 is divided by d?
20
Let n(r) be the third derivative of r**6/120 - 13*r**5/60 + r**4/8 - 14*r**3/3 - r**2 - 38. What is the remainder when 49 is divided by n(13)?
5
Let g(b) = 3*b**3 + b**2 + b - 1. Let h be g(1). Suppose -h*q + 1071 = 3*q. What is the remainder when q is divided by 39?
36
Let u(o) = -2*o - 23. Let v be u(-13). Let j be v*(12/9)/2. Suppose -r + 52 = 3*r + 4*k, -j*r = -2*k - 18. Calculate the remainder when 32 is divided by r.
10
Let z = -9337 + 9359. Calculate the remainder when 86 is divided by z.
20
Let r(i) = -139 - 141 + 571 + 104*i + 452. What is the remainder when 133/1 + 0 + 0 is divided by r(-7)?
13
Let q be (6/4)/((-9)/24)*-1. Suppose -q*o = 1 - 281. Suppose 3*p = -5*s - o + 239, -s + 5*p = -17. Calculate the remainder when 59 is divided by s.
27
Let t(b) = 3*b**3 - 6*b**2 + 2*b + 3. Suppose -s + 90 = 3*v, -60*v + 12*s = 13*s - 1914. Calculate the remainder when t(4) is divided by v.
11
Let v = 70 + -18. Suppose v*l = 53*l - 13. Calculate the remainder when 76 is divided by l.
11
Let r = -3305 + 3342. Calculate the remainder when 184 is divided by r.
36
Let s(o) = -o + 15. Let y(h) = h**2 - 23*h + 108. Let x be y(6). What is the remainder when s(0) is divided by (49/14)/((-9)/x + 2)?
1
Let v = 11 - -4. Let h = -178 + 181. Suppose -2*j = 5*o - 8, -h*j + 3*o = -8*j + 39. Calculate the remainder when v is divided by j.
6
Let x(z) = 52*z + 1102. Calculate the remainder when 2963 is divided by x(-19).
113
Let i(t) = -68*t + 1338. What is the remainder when i(9) is divided by 725?
1
Suppose -z + 2*z - 184 = 0. Suppose -6*b + 3*b = -2*h + 91, -h + 4*b = -43. Calculate the remainder when z is divided by h.
43
Let t(q) = 8*q + 6. Let u be t(4). Suppose o + 3 = -u. Let w = 80 + o. What is the remainder when w is divided by 20?
19
Suppose 0 = q + 3*w - 92 + 20, 4*w = -q + 77. Suppose -23*v + 482 + 1 = 0. Calculate the remainder when q is divided by v.
15
Let x(n) = -11*n - 4. Suppose -7*b + 10*b + 9 = 0. Calculate the remainder when 115 is divided by x(b).
28
Suppose 6*o = 5*o + 815. Calculate the remainder when o is divided by (-9)/((-99)/209)*(0 - -8 - 7).
17
Let d(m) = -m**3 - 79*m**2 + 27. Calculate the remainder when 113 is divided by d(-79).
5
Suppose -5*m = -53*b + 54*b - 29, 2*b - 33 = -5*m. Suppose 2*v = 3*v - 5, 5*v = 3*h - 47. Calculate the remainder when h is divided by m.
4
Suppose -i - 22*d + 393 = -21*d, -1947 = -5*i + d. Calculate the remainder when i is divided by 98.
96
Suppose -6*u - 202 = -34. Let c = u + 33. Let b(l) = -l**3 + 7*l**2 - 9*l. What is the remainder when 19 is divided by b(c)?
4
Let b(m) = 74*m**2 - 146*m**2 - 29 + 76*m**2. Calculate the remainder when b(3) is divided by 4.
3
Let j = 27 + -19. Suppose 5*y + 4*u - 138 = 0, -j*y - 2*u = -5*y - 84. What is the remainder when 2/((4/(-114))/((-10)/y)) is divided by 7?
5
Suppose -1920*r - 567 = -1947*r. Calculate the remainder when 82 is divided by r.
19
Let v = 136 + -131. Suppose -5*f - 3*y = -86 + 35, -f - v*y = 3. Calculate the remainder when 105 is divided by f.
9
Suppose 5*v - 3144 - 870 = -x, -9*x - 9 = 0. What is the remainder when v is divided by 7?
5
Let z = -5928 + 5948. Let f(o) = 8*o**2. What is the remainder when f(-3) is divided by z?
12
Let h = 352 + 629. Calculate the remainder when h is divided by 76.
69
Let l(k) = 2*k**2 + 19*k + 1339. What is the remainder when l(28) is divided by 86?
85
Let i(y) = y**3 - 5*y**2 + 5*y - 11. Let x be i(4). Let w = x - -39. Calculate the remainder when 91 is divided by w.
27
Suppose -2*p - 2*w = -94, -13*p + 10*p + 4*w = -120. Suppose n = -2*n + 6. What is the remainder when 82 + 4/(2 + n) is divided by p?
39
Calculate the remainder when 5989 is divided by -9 + ((-4)/6)/((-162)/8991).
25
Let d(z) = 194*z - 195*z + 19 + 7. Let p be d(4). Let i(j) = j**3 - 21*j**2 - 21*j - 11. What is the remainder when i(p) is divided by 4?
3
Let m = 927 + -528. Suppose 78*t = 81*t + 3*u + 9, t - 2*u = 18. Calculate the remainder when m is divided by t.
3
