6*h. Let i be a(-33). Suppose m + 6 - 45 = i. Calculate the remainder when m is divided by 5.
4
Suppose -4*f = 3*w - 363, 5*w = -0*f - 5*f + 460. Let d be -3 + (-2 - 28/2). Let p = -8 - d. Calculate the remainder when f is divided by p.
10
Let t = 6401 + -5730. What is the remainder when t is divided by 28?
27
Let d = -3044 + 4613. What is the remainder when d is divided by 11?
7
Let x(t) = -162*t + 1066. Calculate the remainder when 8957 is divided by x(5).
253
Let i(b) = 26*b + 2. Let p be i(0). What is the remainder when (5/((-80)/(-68)))/(p/168) is divided by 60?
57
Let a(q) = -1563*q + 3809. Suppose -294 = 4*k - 7*k. What is the remainder when a(2) is divided by k?
95
Let p(t) = -3*t**3 + t**2 - 2*t + 1. Let z(u) = 2*u**3 - 194*u**2 - 192*u - 375. What is the remainder when p(-3) is divided by z(98)?
12
Suppose -2*s + 4*x + 84 = 0, 6*x - 3*x = -2*s + 77. Calculate the remainder when (308/24)/((-249)/(-1494)) is divided by s.
37
Suppose -h + 7 = 5*p, 3 = h - 3*p + 4. Suppose -34 = -g - 4*m, 3*g + 3*m - 4*m - 76 = 0. Calculate the remainder when (-539)/22*(0 - h) is divided by g.
23
Let u(b) = -b**2 + 13*b - 43. Let t be u(13). Let w(g) = g**3 + 45*g**2 + 86*g + 27. What is the remainder when 62 is divided by w(t)?
8
Let m = 253 - 229. Let o(i) = -2*i + 120. Calculate the remainder when 204 is divided by o(m).
60
Let q(z) = -61*z + 1. Let h be ((-15)/2)/5*(-676)/78. Suppose -61 = -3*d - h. What is the remainder when q(-1) is divided by d?
14
Let n be ((-9)/9)/(2/(-34)). Let l = 14 + n. Calculate the remainder when ((-10192)/(-560))/((-2)/(-10)) is divided by l.
29
What is the remainder when ((-26)/4)/((-24)/3792) is divided by 41?
2
Let k(d) = 41 - 53 - 23*d + d**2 - 3*d**2 + d**2. Suppose -5*t - 5*b + 170 = 0, -5*b + 51 = -5*t + 261. Calculate the remainder when t is divided by k(-22).
8
Let r(o) = -o**3 - 3*o**2 + 9*o + 4. Let y = -70 - -72. Suppose y*v = -0*v + 2*c + 28, -4*v - c + 61 = 0. Calculate the remainder when r(-6) is divided by v.
13
Suppose -6637 = -29*w + 2672. Calculate the remainder when w is divided by 161.
160
Suppose 9*b - b + 896 = 0. Let p = 145 - b. Calculate the remainder when p is divided by 38.
29
Let q = -79 - -79. What is the remainder when ((-20)/(-3))/(-4)*(-51 - q) is divided by 28?
1
Let u = -22848 + 29454. Calculate the remainder when u is divided by 33.
6
Let x(i) = -i**3 + 65*i**2 + 19*i - 160. Calculate the remainder when x(65) is divided by 24.
19
Suppose 206*t = -71*t + 2216. What is the remainder when 1295 is divided by t?
7
Let z = 72144 + -72124. Let d = 9 + 66. Calculate the remainder when d is divided by z.
15
Let c be 54 - (-4 - (-5 - -2) - -1). Suppose 0 = 61*u - c*u - 49. Calculate the remainder when u is divided by 3.
1
Suppose -z = -3*p - 4, 4*p - 2*z + 7 = -p. Let b(c) = 40*c**2 + 3*c + 1. What is the remainder when 227 is divided by b(p)?
37
Suppose -24 = -4*p, 28*t = 27*t - 5*p + 1046. Calculate the remainder when t is divided by 261.
233
Let m(p) = 10*p**2 + 1. Suppose 2*d + 3 - 7 = 0. Suppose -5*h - 11 = l, 3*l - 1616 = 5*h - 1549. Calculate the remainder when m(d) is divided by l.
13
Let b = -3398 + -1882. Calculate the remainder when b/(-168) + 4/7 is divided by 17.
15
Let k(y) = -y**3 - 72*y**2 - 282*y + 4. What is the remainder when k(-68) is divided by 329?
26
Suppose 81*a - 9003 + 1065 = 0. Calculate the remainder when 579 is divided by a.
89
Let d(s) = 2*s**2 + 3*s - 5. Suppose 0 = -63*f + 1099 + 1925. Calculate the remainder when f is divided by d(-5).
18
Let a(b) = -10*b + 259. Calculate the remainder when 148 is divided by a(13).
19
Let y be (-30)/(-25) - 2478/(-35). Suppose 0 = 55*o - y*o + 1292. Calculate the remainder when o is divided by 28.
20
Suppose 0 = -13*i + 17*i - 52. Let p(a) = a**3 + 6*a**2 - a + 2. Let v be p(-6). Suppose -13*f + v*f = -20. Calculate the remainder when i is divided by f.
1
Suppose 76*a - 85260 = 28381 + 15027. What is the remainder when a is divided by 1647?
46
Let i = 380 + -329. Suppose -29*a = -i - 94. Calculate the remainder when 194 is divided by a.
4
Suppose -5*l - 3*x + 3 = -4*l, 3*x - 9 = -2*l. Let y(z) = -2*z + 18. Calculate the remainder when 35 is divided by y(l).
5
Let a(z) = 8*z + 19. Let x be (15/(-12))/((-3)/(-12)). Let n be a(x). Let t = 5 - n. Calculate the remainder when 49 is divided by t.
23
Let y(i) = i**2 - 91*i + 533. What is the remainder when y(88) is divided by 74?
47
Suppose 0 = -2*c + 4*d + 62, -31*d + 34*d = 3*c - 105. Suppose -4*s = 5*i - 975, 0*s = -3*i - 3*s + 588. What is the remainder when i is divided by c?
35
Let r be (16/32)/(3/(-6)). Calculate the remainder when r + 5 + (8 - (9 + -340)) is divided by 69.
67
Let j(i) = 14*i - 45. Let b be j(6). Suppose 3*q + 9 = 0, a + 2*q - 5*q = b. What is the remainder when a is divided by 12?
6
Suppose 17794 - 55557 = -243*c + 18370. What is the remainder when c is divided by ((-25)/15)/(2/(-42))?
21
Suppose 4*t - 3*z - 752 + 28 = 0, 0 = -3*t - 4*z + 593. What is the remainder when 744 is divided by t?
183
Let j(c) = 2*c**3 - 10*c**2 - 40*c - 2. What is the remainder when j(12) is divided by 53?
50
Calculate the remainder when 154 is divided by (9 + 102/(-9))*270/(-21).
4
Suppose y = 3*h + 68, 2*y = -5*h + 128 + 30. Let d(c) = 273*c - 9956. What is the remainder when d(37) is divided by y?
71
Let y(d) = d**2 - 10*d + 26. Let h be y(7). Suppose -j - 3*s + 147 = -4*s, -h*j = -4*s - 734. What is the remainder when j is divided by 30?
26
Suppose -q = -3*t + 33 - 2, 2*t - 14 = -q. Suppose -25*g - 1020 = -55*g. What is the remainder when g is divided by t?
7
Let q(p) = 3*p**3 - 4*p**2 - 15*p + 35. Suppose a - 4*b + 5 - 93 = 0, -a + 106 = 2*b. Suppose 4*d - a = -d. Calculate the remainder when q(3) is divided by d.
15
Let g = 540 + -424. Calculate the remainder when 692 is divided by g.
112
Let n(x) = 43*x**3 + 2*x**2 + 99*x - 100. Calculate the remainder when 212 is divided by n(1).
36
Let s = -6314 - -6320. Let r(p) = 48*p**3 - 2*p**2 + 2*p - 1. Let w be r(1). Suppose 69 = 2*u - w. What is the remainder when u is divided by s?
4
Suppose -45*m = 12*m - 4886 - 1156. Calculate the remainder when 195 is divided by m.
89
Let o(c) be the second derivative of c**4/12 + 2*c**3/3 + 33*c**2/2 + 160*c. What is the remainder when o(0) is divided by 6?
3
Suppose 0*k + 5*k + 3370 = 0. Let h = -639 - k. Calculate the remainder when 91 is divided by h.
21
Let x = 2918 - 2716. Calculate the remainder when x is divided by 28.
6
Let w(n) = n + 23. Let y(x) = -x**2 + 25*x - 10. Let b be y(25). Let f be b + 3*-2 + 3. What is the remainder when 58 is divided by w(f)?
8
Let z(c) be the first derivative of 4*c**2 - 16*c - 12. Let o be 5*(-4)/(-12)*3. What is the remainder when z(o) is divided by 9?
6
Let z(t) = 31*t + 2374. What is the remainder when z(-66) is divided by 30?
28
What is the remainder when 539 is divided by 24/15 + 16*35/25?
11
Suppose -q - t + 127 = -379, 5*q - t = 2512. Calculate the remainder when q is divided by 12.
11
Suppose -q + 3*i - 1351 = -1421, -140 = -2*q - 5*i. Suppose -5*l - 79 = -2*j, 0*j = 2*j + l - 73. Calculate the remainder when q is divided by j.
33
What is the remainder when 15118 is divided by (21/3)/(49/392)?
54
Let p = 76 - 138. What is the remainder when 44/77 + 1*p/(-14) is divided by 5?
0
Suppose -g = 3*g - 1540. Suppose 3*f = -106 + g. Let q(j) = j**3 + 22*j**2 + 110*j - 58. Calculate the remainder when f is divided by q(-13).
27
Calculate the remainder when (-3*15/(-35))/((-8)/(-3976)) is divided by 80.
79
Suppose -2*y - 579 = -5*y. Calculate the remainder when 392 is divided by y.
6
Suppose -7*w + 54 = -142. Let f be 1412/12*(-4 - -1). Let s = f - -520. Calculate the remainder when s is divided by w.
27
Let u(z) = 7*z**2 + 140*z + 742. What is the remainder when 788 is divided by u(-6)?
18
Suppose 20*h - 354 - 1906 = 0. What is the remainder when 270 is divided by h?
44
Suppose 3*o - 3*x - 16 = -2*x, -3*o + 5*x = -32. Suppose -4*a + h + 623 = 509, 0 = -3*a + 4*h + 53. Calculate the remainder when a is divided by o.
3
What is the remainder when ((-598)/(-8) - (-10 + 23))/(2/24) is divided by 44?
37
Let x be -5*(-5)/(100/144). Let q = x - -3. What is the remainder when q is divided by 15?
9
Let t(a) = -466*a - 201. Calculate the remainder when t(-3) is div