3). Suppose 2*b - 13 - i = 0. Calculate the remainder when 2/(-10) - 29019/(-2845) is divided by b.
3
Let a = -438 - -443. Suppose -i + 108 = -a*o, 3*i + 3*o - 160 = 128. What is the remainder when 187 is divided by i?
89
Let d be -1 - -2 - (14 - 7). Let p = 42 + -2. Calculate the remainder when 11 is divided by p/(-12)*d/4.
1
Let g(j) = -49*j**3 - j. Let h(q) = q**2 - 43*q + 72. Let l(c) = -2*c + 1. Let v(d) = -h(d) + l(d). Calculate the remainder when v(20) is divided by g(-1).
49
Let z = -39 + 33. Let v(x) = 2 - 15*x - 6*x + 15*x. What is the remainder when 263 is divided by v(z)?
35
Suppose 3*s + 2*i + 12 = s, -3*s = -2*i + 28. Suppose 4*m = 2*b - b + 3, 18 = 4*m + 2*b. What is the remainder when 8/(-2)*46/s is divided by m?
1
Suppose -93*p = -88*p + 15, -6003 = -5*s + p. What is the remainder when s is divided by 306?
282
Let i be ((-60)/8)/((-12)/(-80)). Let y = i - -50. Suppose 2*q = -4*d + 108, -3*d = -4*q - y*q - 81. What is the remainder when 106 is divided by d?
25
Let b(f) = -3 - 17562*f + 17517*f - 6. What is the remainder when 175 is divided by b(-1)?
31
What is the remainder when (-1 - 0)/(22/(-2618)) is divided by 105?
14
Let r be (-4)/(-26) + 24/13. Suppose 5*h = -2*b - 14, -3*b - r*b = -5*h. What is the remainder when 0*(-1)/h + 66 + -6 is divided by 32?
28
Suppose -2*q + 301 = -5*c, 2*q - 304 = -0*q + 2*c. Suppose 3*v + 102 = 2*l + 8*v, 3*v + q = 3*l. Let n = 25 - 16. What is the remainder when l is divided by n?
6
Let k be 4/(-4) - (-5 - 54). Suppose 4*n + 163 - 171 = 0. Suppose 0*d = n*d - k. What is the remainder when 56 is divided by d?
27
Let q = -3 - -12. Let z(d) = -d**2 + 14*d - 43. Calculate the remainder when q is divided by z(8).
4
What is the remainder when 49/(-7) + (-11 - -7) + 91 is divided by 23?
11
Suppose 24 = p + y, -4*y - 5 = 11. Suppose 0 = 2*h + 4*o - 112, 4*h - 5*o + p - 226 = 0. What is the remainder when h is divided by 15?
7
Let h = 15 - 11. Suppose i - 423 = -3*g, 2*i + 2*i - 3*g = 1617. Suppose -i*x + 415*x - 70 = 0. What is the remainder when x is divided by h?
2
Suppose 0 = 2*w - 3*k - 15, 3*w - 34*k - 50 = -35*k. What is the remainder when (425/(-4))/(-5) - w/60 is divided by 2?
1
Suppose -897 = -3*y - 45. Suppose -2*h + 368 = v, -v - 3*h = -y - 86. What is the remainder when v is divided by 73?
72
Suppose 0 = 10*a - 345 + 25. Let f(y) = -y + 14. What is the remainder when a is divided by f(-4)?
14
Let m(t) = t**3 + 12*t**2 + 2*t - 14. Let q be m(-11). Suppose -3*d = -161 - q. What is the remainder when d is divided by 45?
37
Let u be (1 + -5)*(-2 + 1). Suppose -3*q - u*t = 1, 5*q + t = 8 + 13. Let n(m) = 15*m - 54. Calculate the remainder when 81 is divided by n(q).
18
Let w = 27254 - 27242. What is the remainder when 2206 is divided by w?
10
Let y = 4788 + -4781. What is the remainder when 334 is divided by y?
5
Suppose -12367 = 19*f - 2506. Let i = -408 - f. Calculate the remainder when i is divided by 23.
19
Suppose 0 = 5*n + 4*p - 11 - 9, -5*p = n - 25. Suppose -2*i + 35 = -0*z + 3*z, 4*i - 5*z - 125 = n. What is the remainder when 69 is divided by i?
19
Suppose 0 = 9*y - 4*y - 895. Calculate the remainder when y is divided by 44.
3
Suppose 287*p - 289*p + 70 = -5*x, 3*p = -x + 173. What is the remainder when 6709 is divided by p?
54
Suppose 4*q = -5*k + 411, -418 = -7*k + 2*k + 3*q. Suppose -18 = -k*a + 81*a. Calculate the remainder when a is divided by 7.
2
Suppose 0 = -4*f - 0*f + k + 524, 5*k = 0. Let v = f + -2. Calculate the remainder when v is divided by 44.
41
Let b(q) = -7*q + 2. Let t be b(1). Let z(i) = i + 7. Let o be z(t). Suppose 110 = o*x - 0*x. What is the remainder when x is divided by 19?
17
What is the remainder when 2078 is divided by (-27)/(-90)*10 + 24?
26
Suppose 3*m - 398 = 5*i, 5*m + 4*i - 917 = -229. Calculate the remainder when m is divided by (-8)/(-30)*(-67)/((-8040)/20700).
44
Let z = -259 + 259. Suppose -3*y = -u + 46, z*u - 3*y = -2*u + 83. What is the remainder when u is divided by 20?
17
Suppose -305 = 12*x + 13*x - 3755. Calculate the remainder when 693 is divided by x.
3
Suppose 0 = 128*q - 2684 - 644. Suppose -3*j + 36 = 3*g, -3*g + 20 = -g + j. Calculate the remainder when q is divided by g.
2
Let o = 12479 + -12445. Suppose -3*h + 2*p + 119 = -165, 3*p = -4*h + 390. Calculate the remainder when h is divided by o.
28
Let w be (-6 - -5)/(1/(-3)). Suppose -w*p - p = 3*f - 14, -3*p - 2 = -4*f. What is the remainder when 12 is divided by f/(-2) - (1 - 5)?
0
Let q = -3998 - -4250. Calculate the remainder when 501 is divided by q.
249
Suppose -17*l + x = -22*l + 2198, -2*l - 6*x = -896. What is the remainder when l is divided by 113?
100
Let d(a) = 4*a**2 + 43*a - 51. Let x be d(-12). Suppose 2*i - 19 = x*y - 4*y, 2*i = 3*y + 17. What is the remainder when 53 is divided by i?
4
Suppose -n + 2*k + 9 = 0, -1823*n + 1828*n - 2*k = 21. Calculate the remainder when 222 is divided by n.
0
Let v(r) = -25*r - 67. Let x be v(-3). What is the remainder when 126 is divided by 54 - ((-96)/x + 7)?
8
Suppose 0 = -6*a + 7*a + 5, 0 = 3*q - 5*a - 127. What is the remainder when q is divided by 14?
6
Let t be 28/(-4) - -7 - (320 + 2). Let f = t - -362. What is the remainder when f is divided by 16?
8
Suppose 11*l + 2124 = -428. Let p = l + 256. Let v(u) = u**3 + 9*u**2 - 4*u - 2. What is the remainder when v(-8) is divided by p?
22
Suppose -47*c + 17415 = -11*c + 99*c. Calculate the remainder when 580 is divided by c.
64
Let q be (-474)/15 + 15/25. Let u = q + 159. Calculate the remainder when u is divided by 45.
38
Let r = -7901 + 10951. Calculate the remainder when r is divided by 1016.
2
Suppose -140 = -4*o + 2*r + 28, 2*o = 5*r + 76. Let v(f) be the first derivative of -111*f**2/2 - 51*f - 62. What is the remainder when v(-2) is divided by o?
42
Suppose 60*v - 105619 = 28781. What is the remainder when v is divided by 560?
0
Let o = 31203 - 14886. Calculate the remainder when o is divided by 17.
14
What is the remainder when (-11)/(110/(-12))*(-24640)/(-96) is divided by 51?
2
Let l(m) = -m**2 + m - 20. Let u be l(0). Let w be ((-32)/u)/(-2*(-2)/20). What is the remainder when 43 is divided by (-8)/5*6/w*-10?
7
Suppose 0 = 6*w + 191 - 569. Suppose -5*t + w + 22 = 0. Suppose -s - t = -33. Calculate the remainder when 27 is divided by s.
11
Let s(y) = 5*y**2 - 181*y + 499. What is the remainder when s(39) is divided by 31?
22
Let s(a) = 3*a + 6. Suppose 458276 - 454526 = 50*k. Calculate the remainder when k is divided by s(5).
12
Let y be 4 - (0 + 1 + 0). Let s = y + -1. Suppose 442 = 7*x + 421. Calculate the remainder when x is divided by s.
1
Suppose 14*b + 330 = -762. Suppose -10 = -5*r, h + r - 44 = 38. Let o = h + b. What is the remainder when 3 is divided by o?
1
Let a = 144 + -142. Suppose a*r + 331 = 4*j - 3*r, j = -4*r + 67. Suppose 5*u = 4*k - j, 5*k - k + 2*u - 86 = 0. What is the remainder when 73 is divided by k?
10
Let t(x) = -x - 8. Let g be t(-11). Suppose 16 = -4*y + 8*y - 4*n, g*y = n + 20. Let s = -29 + 58. What is the remainder when s is divided by y?
5
Let x(u) = 65*u - 114. Let b be x(7). Let m = b + -338. Calculate the remainder when 26 is divided by m.
2
Suppose 2*i + 292 = 4*k, 2*i + 4 - 77 = -k. What is the remainder when 506 is divided by k?
68
Let q(n) = -74*n - 173. What is the remainder when 139 is divided by q(-3)?
41
Suppose 29 = -4*r + 77. Suppose 6*s + 37 = 5*t + 2*s, -12 = 4*s. Suppose -p + r = t. What is the remainder when 14 is divided by p?
0
Suppose 0 = -18*y + 22*y. Suppose 3*z + 14 - 44 = y. Let m(t) = 2*t**3 - 5*t**2 + 3*t - 2. What is the remainder when m(3) is divided by z?
6
Let o(d) = 248*d**2 - 1359*d - 1359. What is the remainder when 924 is divided by o(-1)?
180
Let a(k) = k**3 - 23*k**2 + 12*k - 40. Let v be a(23). Suppose -238*c + 12 = -v*c. What is the remainder when 76 is divided by c?
4
Let x = 177 - 360. Let w = x - -279. Calculate the remainder when 183 is divided by w.
87
Let h be (-2)/(-2)*(22 - -3). Suppose 3*u = 5*i + 127, i - 127 = -2*u - h. Let x = 9491 - 9348. What is the remainder when x is divided by u?
45
Let k = 82 - 72. Suppose -k*a = -14*a + 160. What is the remainder when 157 is divided by a?
37
Let r(w) = -2*w**2 + w + 2. Let x be r(-3). Let n = -296 - -244. Let l = x - n. What is the remainder when