ppose -3*a + 13 = 5*s, -4*a + 26 + 6 = 3*s. Suppose a*l - 24 = 5*l. Let y = l + 33. Calculate the remainder when y is divided by 14.
9
Let v be 1/(1/119 - 0). Let z(q) = 67*q + 659. Let p be z(-11). Let k = v + p. What is the remainder when k is divided by 4?
1
Let o = -243 - -245. Suppose w = -2*s + 11, o*w + 3*s - 2*s - 37 = 0. What is the remainder when 80 is divided by w?
17
Let x(h) = -7*h - 2. Let o be x(-1). Suppose 2 = -n - 2*b, o*n + 15 = 4*b + 61. Suppose 0 = 6*p - 3*p - 18. What is the remainder when p is divided by n?
0
Let r be (380/25)/(14/1085). Suppose 7*h + 191 = r. Calculate the remainder when h is divided by 8.
5
Suppose 0 = o - 4*l - 110, -2*l - 576 = -5*o - 8. Suppose -5*r = 21 - 1, -5*a - 5*r = -85. Calculate the remainder when o is divided by a.
9
Suppose -5*x + 38 = -57. Suppose 3*k + x - 58 = 0. Calculate the remainder when 76 is divided by k.
11
Calculate the remainder when 1261 is divided by (1156/(-32) - -36) + 7/(-16)*-62.
19
Suppose 5*s - 3*c = 481 - 164, 2*s - 110 = -3*c. Calculate the remainder when 208 is divided by s.
25
Let n(g) = 2*g**3 - 6*g**2 - 20*g + 83. Calculate the remainder when n(8) is divided by -30*(-1 + (-3 - (-36)/10)).
11
Let n(s) be the second derivative of 4*s**3/3 + 159*s**2/2 + 31*s. Calculate the remainder when 123 is divided by n(-19).
4
Let p be 75/(-4)*(-6 + 910/(-15)). Suppose 0 = -2*x + 5*f + 613, 5*x = x + 2*f + p. What is the remainder when x is divided by 63?
62
Let f = 249 + -239. Calculate the remainder when 2213 is divided by f.
3
Suppose -2*o = -3*j + 202, 391 - 726 = -5*j + 5*o. Let b = -3 - -9. Calculate the remainder when j is divided by b.
2
Suppose n - 4*c - 181 = 450, -3*c = -3*n + 1938. What is the remainder when 663 is divided by n?
12
Let k(q) = -q**2 - 5*q - 6. Let f be k(-5). Let b(j) = j**2 + 8*j + 23. What is the remainder when b(f) is divided by 8?
3
Suppose 18*x + 768 - 915 = 1347. Calculate the remainder when 249 is divided by x.
0
Suppose -6*d + 949 = -3*d + 5*z, 2*z = 4. Calculate the remainder when 943 is divided by d.
4
Suppose -3*o - 4 = -19. Suppose o*r - 70 - 162 = -u, 3*r = -5*u + 1138. What is the remainder when u is divided by 12?
11
Suppose -2*v - 16 = 0, -2*i + 3*i = 2*v + 623. What is the remainder when i is divided by 204?
199
Suppose 28*v + 40*v - 11120 = -210*v. Calculate the remainder when 8276 is divided by v.
36
Suppose -5*c - 76 = 4*n, -2*n - 21 = -13. Calculate the remainder when (-3 + (-44)/c)*207 is divided by 48.
42
Let l(g) = -54*g + 1343. Calculate the remainder when 2423 is divided by l(23).
100
Suppose -6 = 2*u, 0 = o - 5*u - 187. Calculate the remainder when o is divided by 142.
30
Let o(v) = 8*v**2 - 448*v + 74. What is the remainder when 1073 is divided by o(57)?
13
Suppose 3*x + 10 = -5. Let n be (2 - (2 - 3))/(x - -4). Let a = 51 - n. Calculate the remainder when a is divided by 16.
6
Let b = 2 + 4. Let i(o) = -b + 5*o**2 - 3 + 0*o + o**3 + 3 - 11*o. What is the remainder when i(-6) is divided by 7?
3
Let j(w) = -7*w**2 + 41*w - 10. Let d be j(10). Let i = d - -312. What is the remainder when 2/(-10) + 905/25 is divided by i?
0
Suppose 6786 = r + 2*g, 578*r = 575*r + 3*g + 20358. What is the remainder when r is divided by 97?
93
Suppose -f = 2*z + 7, 3*z + 4 + 3 = -5*f. Calculate the remainder when ((-39)/z)/(3/12) is divided by (42/4)/(4/8).
18
Suppose 78*k - 2322 = 24*k. Suppose g - 42 = 74. Calculate the remainder when g is divided by k.
30
Let c = 35 - 4. Suppose 83*u = -4620 + 17236. What is the remainder when u is divided by c?
28
Suppose 0 = -5*a + 3*f + 3149, a + 44*f - 662 = 40*f. Calculate the remainder when a is divided by (-2)/8*14*(-26 - 0).
88
Let r = 1172 + -1137. Suppose 0 = -3*z + 414. Calculate the remainder when z is divided by r.
33
Let n = -2900 + 2951. What is the remainder when 344 is divided by n?
38
Suppose -4*z + 57 = -7*z. Let d(l) = -l**3 - 18*l**2 + 17*l - 16. What is the remainder when d(z) is divided by (-46)/(-6) - 1/(-3)?
6
Let y(u) = 3*u**2 - 36*u + 138. Calculate the remainder when 757 is divided by y(7).
31
Let k(l) = 34*l - 18. Suppose 0 = i + 2*i + 75. Let h be k(i). Calculate the remainder when 59 is divided by 4/(-6) + h/(-42).
19
Let v = -1 - -3. Suppose 0 = -l + v*l - 77. Suppose -4*d + 0*d + 103 = -5*x, 0 = 3*d - 4*x - l. What is the remainder when 105 is divided by d?
24
Suppose 4*v - 69 = -5*i + 2042, -i + 7 = 0. What is the remainder when v is divided by 237?
45
Suppose 3*m - 195 = -38*b + 40*b, 201 = 3*m - 4*b. What is the remainder when 1763 is divided by m?
62
Suppose 3*i - 5*o + o - 34 = 0, -8 = -4*i - 4*o. Let v be 621/i - 0 - 1/(-2). Let x = -87 + v. Calculate the remainder when x is divided by 6.
5
Let o = -5375 + 5396. What is the remainder when 395 is divided by o?
17
Let h = -1304 - -1329. Suppose 5*x + 42 = 222. Calculate the remainder when x is divided by h.
11
Let w = 240 + -237. Suppose -12 = w*r, -412 = -5*o + 39*r - 36*r. Calculate the remainder when o is divided by 17.
12
Let l(f) = -3*f - 5. Let g be l(-3). Suppose g*b - 11 - 25 = 0. Calculate the remainder when (861/6)/7 + b/6 is divided by 12.
10
What is the remainder when 9391 is divided by (6/(-7) - -1)/1 - (-301290)/1155?
256
Suppose -70 = -5*s + 2*p, 3*s - 83 + 20 = -3*p. Suppose 681 = 65*m - 2374. What is the remainder when m is divided by s?
15
Suppose 7 = r, 759*r + 3297 = 3*x + 765*r. What is the remainder when x is divided by 343?
56
Suppose 0 = -14*j + 13*j - 3*v + 650, -2*j - 3*v = -1282. Calculate the remainder when j is divided by 45.
2
Let y = -20 + 20. Suppose 0 = 2*p - 0 - y. Suppose a = -2*l + 40, p*a + 2*a = -4. Calculate the remainder when l is divided by 9.
3
Let o(p) = 10*p**2 - 7*p + 26. Let i be o(-5). Let c = i + -152. What is the remainder when c is divided by 27?
24
Suppose -13*k + 169 = -0*k. Suppose -5*a - 15 = 0, -4*v + 0*v + 93 = a. What is the remainder when v is divided by k?
11
Suppose 10*y - 5820 - 6920 = 0. Suppose -11*w = 3*w - y. Calculate the remainder when w is divided by 16.
11
Suppose -8*u + 14*u - 2736 = 0. What is the remainder when u is divided by 121?
93
Suppose 6147 = -99*k + 4121 + 89443. Calculate the remainder when k is divided by 34.
33
Let a = 215 - 346. Let b = a + 185. Calculate the remainder when b is divided by 16.
6
Suppose 5*u - 3*o = -7*o + 50, 2*u + 3 = 3*o. What is the remainder when 19/4 + 5 + -7 + (-50)/(-8) is divided by u?
3
Calculate the remainder when 3 - 62/22 - (12 - 2587788/154) is divided by 311.
309
Suppose 5*r = -4*s - 45, 6*s + 3*r + 40 = s. Let j(b) = -31*b + 14. Suppose -a + 55 = 21. Calculate the remainder when j(s) is divided by a.
33
Let n = 4475 + -2931. Calculate the remainder when n is divided by 255.
14
Suppose 12*v = 260 + 64. Let t(l) = 10 + 8*l + 0*l + 2*l + v*l**2. What is the remainder when t(-1) is divided by 15?
12
Suppose -233*t - 24220 = -62458 - 23740. Calculate the remainder when 924 is divided by t.
126
Suppose 0 = -3*i + i - 5*d + 13, -3*d - 5 = -2*i. Let s(z) = -z**2 + 5*z. Let l be s(i). Suppose -l*x = -78 - 18. What is the remainder when 91 is divided by x?
19
Suppose 0 = -8*g + 3*g. Suppose g*l = 3*l - 30. Let h = 2023 - 2005. What is the remainder when h is divided by l?
8
Suppose -515*a + 77270 = -59*a + 24374. Calculate the remainder when 16239 is divided by a.
115
Suppose 28*j + 12*j - 192 = -8*j. Calculate the remainder when 994 is divided by j.
2
Let a = -6511 - -6585. Suppose 3*u - u - 54 = 0. What is the remainder when a is divided by u?
20
Suppose 0 = 112*q - 102*q - 90. Suppose q*o + 43 = 1708. Calculate the remainder when o is divided by 31.
30
Let y(d) = 2*d + 6 + 2*d**2 + 0 + 0*d. Let z = -764 - -761. Calculate the remainder when y(z) is divided by 11.
7
Let u be (-3)/((-1)/(2/2)). What is the remainder when u/(-2*(-2)/136) is divided by ((-48960)/234)/(-16) - (-1)/(-13)?
11
Let y = 75 - 14. Suppose -188*b - 24 = -192*b - 4*x, -5*b + 57 = -4*x. Calculate the remainder when y is divided by b.
7
Let p = -44 - -81. Calculate the remainder when 436 is divided by p.
29
Let j = -413 + 416. Suppose 0 = 2*l + 2*z - 80, 6*l - 7*l = j*z - 30. Calculate the remainder when l is divided by 16.
13
Let d = -204 + 437. Suppose 4*t - 32 = -4*w, -2*t - 4*w = -4*t - 14. Suppose -93 = t*u - 234. Calculate the remainder 