- -1. Let b = -9357 + 9360. Calculate the remainder when l is divided by b.
2
Let p = -3 - -7. Calculate the remainder when (-263)/(-9) + 2 + (-100)/45 is divided by p.
1
Suppose -41*p + 339 - 67 = -33*p. Calculate the remainder when 644 is divided by p.
32
Let c = 3969 + -3850. Calculate the remainder when 5945 is divided by c.
114
Suppose 39*v + 3*v = 6468. What is the remainder when 529 is divided by v?
67
Let p = 3702 + -3259. Calculate the remainder when p is divided by 25.
18
Suppose -73*f = -101*f + 913 - 213. Calculate the remainder when 2565 is divided by f.
15
Let a(p) = -10*p**2 + 14*p + 61. Let z be a(9). Let k = z - -684. Calculate the remainder when 108 is divided by k.
47
Let y = 8051 - 8039. What is the remainder when 3045 is divided by y?
9
Let x(k) be the second derivative of 5*k**4/12 - 7*k**3/6 - k**2/2 + 2*k + 8. What is the remainder when x(-4) is divided by 16?
11
Suppose -1157 = 19*y + 78. What is the remainder when 308 is divided by 9 - y - -9 - 5?
74
Suppose 3*r + 3 = 3*t, 2*r + 2*t - 14 = -0*t. Let w be 49/(-14)*(4 + -2). Calculate the remainder when -3 - (r/w + 9789/(-91)) is divided by 36.
33
Let p(w) = -3*w**2 + w. Let g be p(1). Let o = g + 7. Calculate the remainder when 1/((-6)/(-4))*24 is divided by o.
1
Let v(z) = -47*z - 331. What is the remainder when v(-19) is divided by 9?
4
Suppose -5*z = 4*v - 2756, 448*z = 4*v + 446*z - 2728. Calculate the remainder when v is divided by 146.
100
Suppose 13*y + 20 = 17*y. Suppose -m - y = 2. Let n = 14 - m. What is the remainder when n is divided by 6?
3
Let n(v) = v**2 - 26*v - 14. Suppose -3*k + 15 = -2*o - 69, -4*k - 4*o + 112 = 0. What is the remainder when n(k) is divided by 15?
12
Suppose 9*h + 107 - 35 = 0. Calculate the remainder when 2288/858*(-1)/(h/678) is divided by 38.
36
Let x(w) = 246*w + 1319. Calculate the remainder when x(9) is divided by 35.
33
Let z(f) = 10*f**3 - 2*f**2 + 1. Let u(g) = 2*g**3 - 12*g**2 - 4*g + 26. Let x be u(8). Let l = -235 + x. Calculate the remainder when z(2) is divided by l.
13
Calculate the remainder when ((-3)/(-9))/((-46)/(-2195442)) is divided by 204.
201
Suppose 2*l - 3 = 3. Let x(p) = -5*p**3 - 2*p**2 - p. Let r be x(-1). Suppose 6 = -2*d, 2*o - r*d - 16 = -2. What is the remainder when l is divided by o?
0
Let a = -2710 - -2930. What is the remainder when a is divided by 52?
12
Let m(b) = -156*b - 3144. Calculate the remainder when 320 is divided by m(-22).
32
Suppose -129*x + 125*x + 25 = -g, -4*g = 4*x. Calculate the remainder when 903 is divided by x.
3
Let j(t) = 5*t + 34. Let a(r) = 1. Let q(c) = -2*a(c) - j(c). Let y = -48 + 166. Calculate the remainder when y is divided by q(-12).
22
Suppose 1224*t = 1242*t - 666. Calculate the remainder when 539 is divided by t.
21
Suppose -172 = -144*s + 282 + 410. Calculate the remainder when 539 is divided by s.
5
Suppose 2*p + 101*y - 2834 = 100*y, 0 = p - 4*y - 1417. What is the remainder when p is divided by 49?
45
Suppose 3*f = -9, -2*f + 6*f = 3*x - 27. Suppose 33 = -p + x*p + u, p + 3*u = 0. Let n = 8 + 16. What is the remainder when n is divided by p?
6
Let b(p) = p**2 + p - 61. Let c(g) = 31. Let u(v) = 3*b(v) + 5*c(v). What is the remainder when u(-6) is divided by 22?
18
Let w(r) = -6*r + 8. Let o be w(-7). Suppose -3*p + p = -o. What is the remainder when (-384)/(-42)*(-4095)/(-390) is divided by p?
21
Suppose -21 - 14 = -5*j - 5*a, -13 = -j + 5*a. Calculate the remainder when (-1065)/(-10)*6/9 - 2 is divided by j.
5
Suppose -18 = 4*x - 34. Suppose -x*n + 131 = c, 14*n = 15*n + 2*c - 38. Calculate the remainder when 73 is divided by n.
9
Let x = 107 + 86. Let y = -16 + 164. Suppose -y = -4*m - 4*i, 3*i = -0*m - 5*m + 189. What is the remainder when x is divided by m?
37
Suppose -u - 2*j = 14 + 41, 5*j - 168 = 4*u. Let t = -24 - u. What is the remainder when 94 is divided by t?
2
Let t = -172 - -152. Calculate the remainder when (3 + 84/t)/(6/(-105)) is divided by 8.
5
Let c(f) = 217*f**2 + 35*f - 76. Calculate the remainder when 3452 is divided by c(2).
4
Let z(x) = -x - 21. Let o be z(-26). Suppose 0*b - 2*d - 10 = 3*b, 0 = d + o. Suppose b = h - 4 - 24. Calculate the remainder when h is divided by 10.
8
Let m(w) = 16*w - 434. What is the remainder when m(42) is divided by 19?
10
Suppose -6*j - 12 = -78. Let q(f) = -12*f - 478. Calculate the remainder when q(-45) is divided by j.
7
Calculate the remainder when (4/18 - 2001/(-1566)) + 1016/16 is divided by 47.
18
Let m(p) = -88*p - 4. Calculate the remainder when m(-2) is divided by 148/(-36)*(-6 + -1) - (-40)/180.
27
Let y = -88980 - -89048. Calculate the remainder when 398/(-6)*(-12)/4 is divided by y.
63
Suppose 36*h = 791 + 207 + 406. What is the remainder when 343 is divided by h?
31
Let a = -11368 - -11982. Calculate the remainder when a is divided by 220.
174
What is the remainder when (296/(-259))/(-3 - (-29598)/9870) is divided by 289?
73
Suppose 10*v - 4165 = 5*v. What is the remainder when (v/(-68))/((-1)/4) is divided by 26?
23
What is the remainder when (-6)/14 + 61/((-10675)/(-2587800)) is divided by 15?
12
Suppose -3 = 4*y + 1, 3*l + 3*y - 6 = 0. Suppose 0 = l*n + 3*o - 6, 4*n = -0*n - 3*o + 9. What is the remainder when 10 is divided by n?
1
Let b = -25 - -41. Let z(g) = -7 - 8*g + 8*g**2 - 5 + 15 + 2*g. What is the remainder when z(-3) is divided by b?
13
Suppose 217*r - 214312 + 50260 = 0. What is the remainder when r is divided by 708?
48
Suppose 2*w = -2*c + 178, -690*w + 2*c = -693*w + 263. Calculate the remainder when 9262 is divided by w.
82
What is the remainder when 173 is divided by (6/4 + (-2673)/1386)*-28?
5
Let x(w) = 9*w**2 - 3*w - 2. Suppose -798 = -5*d - 4*t, 474*t - 472*t - 4 = 0. Calculate the remainder when d is divided by x(-2).
38
Let l = 72 - 52. Let k = l - 20. Calculate the remainder when 44 is divided by k/(-4)*1 + 19.
6
Let v(x) = 3*x. Suppose 340 = 181*m - 927. Calculate the remainder when v(6) is divided by m.
4
Suppose 4*w + 4*g = 3116, -5*g = -w + 855 - 40. What is the remainder when w is divided by 52?
5
Let i(h) = -3*h**3 + 22*h**2 - 23*h - 19. Let z(p) = -p**3 + p**2 - 1. Let a(b) = -i(b) + 2*z(b). Calculate the remainder when a(19) is divided by 48.
45
Suppose -64 + 547 = 21*h. Suppose 0 = -h*b - 256 + 1153. Calculate the remainder when 152 is divided by b.
35
Calculate the remainder when 693 is divided by -9*(8 + 5/((-135)/246)).
3
Suppose -30*i - 10882 = -43492. What is the remainder when i is divided by 109?
106
Let s = -54 + -226. Let p = s + 308. Calculate the remainder when 306 is divided by p.
26
Suppose 6702 = p + 2*d, 104*p = 107*p - d - 20113. What is the remainder when p is divided by 14?
12
Let b be (-1)/(3/(20 - 2)). Let u be 1 + b/(-2) - 27. Let x = 35 + u. What is the remainder when 22 is divided by x?
10
Suppose -94*z - 4827 + 48349 = 0. Calculate the remainder when z is divided by 79.
68
Let j = 906 + -709. Let k = j - 56. What is the remainder when k is divided by 72?
69
Let h(r) = -r**3 - 2*r**2 + 6*r - 5. Suppose -6*k - 6*k + 2506 = 2*k. Calculate the remainder when k is divided by h(-5).
19
Suppose u - 213 = -0*u - 61. What is the remainder when 639 is divided by u?
31
Let c = 7639 + -6814. Calculate the remainder when c is divided by 198.
33
Let c = -362 + 384. Let i = c + 33. Calculate the remainder when i is divided by 21.
13
Let b(u) = -u + 118. Let l be b(-12). Suppose 0 = -22*a + l + 354. What is the remainder when 80 is divided by a?
14
Let a(n) = 13*n**2 + 12*n - 286. What is the remainder when a(13) is divided by 94?
93
Let f = -103 + 106. Suppose 2*g + 179 = 4*z - g, 2*z + g = 77. Suppose -f*y - z = -104. What is the remainder when 82 is divided by y?
19
Suppose -4*n + 2*i - 7*i + 344 = 0, -5*i = n - 101. What is the remainder when 174 is divided by n?
12
Let w = -4603 - -4930. What is the remainder when 335 is divided by w?
8
Suppose 0 = -9*b + 5191 + 3890. What is the remainder when b is divided by 22?
19
Suppose 114*l - 93*l = 338100. Calculate the remainder when 125/(-45) + 3 + l/45 is divided by 20.
18
Let t = 26464 - 25769. Calculate the remainder when t is divided by 394.
301
Suppose 1930 = 43*s - 3058. Let x = 57 + -33. Calculate the remainder when s is divided by x.
20
What is the remainder when 213 + -226 + 421 + -1 is di