 2674. Suppose 3*k = -s + 8, -3*k - 1 = 3*s - 19. What is the remainder when z(71) is divided by s?
4
Suppose -230 = -30*n - 16*n. Suppose 81 = n*f - 2*y, -32 = -f - 5*y - 5. Let v = 0 - -6. Calculate the remainder when f is divided by v.
5
Let z(k) be the third derivative of -k**6/120 - k**5/6 - k**4/3 + 10*k**3/3 - k**2 + 10*k. What is the remainder when 205 is divided by z(-9)?
7
Suppose -5*x + 4*w = -279, 5*x - 2*w - w - 283 = 0. Let v = -60 - -149. Suppose -v*s - 184 = -97*s. What is the remainder when x is divided by s?
13
Suppose -31*x - 159*x + 7479 = -19*x + 106*x. Calculate the remainder when (-2*1)/(1/(-498)) is divided by x.
24
Let h = 288 - 291. What is the remainder when (-1166)/(-33) + h/9 is divided by 12?
11
Let k = -9 + 153. Let a(j) = -j - 23. Let n(d) = -2*d - 23. Let t(u) = -4*a(u) + 5*n(u). What is the remainder when k is divided by t(-12)?
46
Let v = 12584 - 12417. What is the remainder when 821 is divided by v?
153
Let s(m) = 5*m**2 + 3*m + 6. Let i be s(4). Let q = 127 - i. Calculate the remainder when 71 is divided by q.
13
Let k(s) = -2*s**3 - 5*s + 4. Let g be k(1). Calculate the remainder when (-1085)/g - 2/(-6) is divided by 33.
32
Let s = -4275 - -23709. Calculate the remainder when s is divided by 31.
28
Suppose 8*r - 3*u - 1037 = 3*r, -4*u + 1044 = 5*r. Let h = -1257 - -1272. What is the remainder when r is divided by h?
13
Suppose o + 0*o = 14. Suppose 371 = o*p - 2345. What is the remainder when p is divided by 22?
18
Let k(s) = -2*s + 24. Let y be k(12). Suppose y = -2*u + 5*u - 216. Suppose 0 = 2*m + 24 - u. What is the remainder when 64 is divided by m?
16
Let g be 19 - 4/2 - (2 - -1). Let l(q) = 30*q**3 + 24 - 15*q**2 - 62*q**3 + 33*q**3 + q**2. What is the remainder when 71 is divided by l(g)?
23
Let t = 104 - 101. Suppose t*q - 78 = 15. What is the remainder when q is divided by 3?
1
Let n(b) = 34*b**2. Let c = 45354 - 45084. Calculate the remainder when c is divided by n(1).
32
Suppose -4*v = -3*d - 25, 25 = -d + 3*v - 5*v. Let a = d - -92. Calculate the remainder when 225 is divided by a.
71
Let d = -4481 - -4628. What is the remainder when d is divided by 4?
3
What is the remainder when 1307*8 + 76 + -81 + (-2 - -8) is divided by 126?
125
Suppose 2*l + 2*p = 190, -2*l = 8*p - 12*p - 160. Let j = l - 75. Let g = -30 + 57. Calculate the remainder when g is divided by j.
12
Suppose -5*u + 0*a = -4*a - 723, -2*a = 2*u - 282. Suppose -503 = 10*v + 207. Let r = u + v. What is the remainder when r is divided by 25?
22
Let h = -19361 - -19414. Suppose 2*f - 8 = -3*r, 36 = 6*f - 2*f - 4*r. What is the remainder when h is divided by f?
4
Suppose -730*u = -223615 - 169855. Suppose -8*r + 5*r - 60 = -2*w, -4*r = 2*w - 60. Calculate the remainder when u is divided by w.
29
Suppose -3*d = 114 + 189. Let v = -82 - d. Calculate the remainder when 246 is divided by v.
18
Suppose -3*u + 597 = 4*h, -4*u + 121 = h - 38. What is the remainder when h is divided by -35*(4/10 - (-1239)/(-735))?
12
Let u(v) = 3*v**2 - 7*v + 19. Let s(n) = n**2 - 7*n + 15. Let g be s(2). Calculate the remainder when u(g) is divided by 24.
11
Suppose 5*n = 5*g, -5*g + 3*n + 1 + 7 = 0. Suppose 5*p + 149 = g*d - 423, 4*d = 3*p + 564. Suppose 149 = 7*k - d. What is the remainder when k is divided by 11?
8
Suppose -3*h + 193 = -194. Suppose 0 = 132*s - h*s - 90. Calculate the remainder when 56 is divided by s.
26
Suppose b - 26 = 3*c, 16*b - 58 = 13*b + 5*c. What is the remainder when 738 is divided by b?
1
Let d(y) = -y**3 + 9*y**2 - 355*y + 2085. Calculate the remainder when 1129 is divided by d(6).
58
Let k = 233 - 263. Calculate the remainder when 59 is divided by (-366)/k + 4/5.
7
Suppose -n - 4 = 0, 1269 = 12*r + 5*n - 2011. Calculate the remainder when 390 is divided by r.
115
Suppose 283 = 5*u - 477. Let a = -149 + u. Suppose 0 = y - 2*m - 17, -a*y + 54 = -6*m + m. Calculate the remainder when y is divided by 12.
11
Let g = 393 - 291. Suppose 0 = -10*c + 12*c - g. Calculate the remainder when 560 is divided by c.
50
Let n be (25/5)/(1/3). Suppose -5*w = -10*w + n. Suppose w*s - 5 = 5*a - 56, s + 11 = a. Calculate the remainder when 34 is divided by a.
7
Suppose 7168 = 25*m - 5732. Calculate the remainder when m is divided by 211.
94
Let h(f) = 316*f - 1231. Let v = 9 + -4. Suppose -13 = -y - 2*t, v*t - 23 = -0*y - 2*y. What is the remainder when h(4) is divided by y?
14
Let s be 9*1 - (-7 + -23)/(-6). Suppose 409 - 277 = s*d. What is the remainder when d is divided by 16?
1
Let q = -17750 - -17757. What is the remainder when 1308 is divided by q?
6
Let u = -4467 + 4885. What is the remainder when u is divided by 67?
16
Suppose -33725 + 180265 = -g + 86*g. Calculate the remainder when g is divided by 54.
50
Let f(b) = 32*b**2 + 835*b - 89. What is the remainder when f(-28) is divided by 28?
23
Suppose 2*p - 8 = 5*o + 17, o + 5 = 2*p. Suppose p = 9*x + 42 - 222. What is the remainder when 59 is divided by x?
19
Let d(v) = v + 9. Suppose 10*q = 284*h - 283*h + 9, -132 = -2*h - 5*q. Calculate the remainder when h is divided by d(0).
6
Suppose 5*o + 3*y - 60 = 3230, 4*y = 0. Suppose -4*w - 5*q + 1850 = 570, -2*w + o = -2*q. Calculate the remainder when w is divided by 22.
17
Let t be 24/(-4) - -7 - 1605/(-3). Let g = t + -420. What is the remainder when g is divided by 20?
16
Let a(o) = 21*o**3 + o**2 + 2*o - 2. Let d be a(1). Let r = 25 - d. Calculate the remainder when 0 - (-66)/r - (-15)/5 is divided by 13.
12
Let w = 3 - 1. Let o = 360 - 232. Suppose 124 = -2*d + o. What is the remainder when w is divided by d?
0
Suppose -5*n + 203 + 29 = -3. Calculate the remainder when 112 is divided by n.
18
Let x = -3384 + 3423. Calculate the remainder when x is divided by 4.
3
Let w(h) = -10*h**2 + 296*h + 273. Calculate the remainder when 980 is divided by w(27).
5
Suppose 19*t - 34 - 308 = 0. Calculate the remainder when 84 is divided by 4/(-18) + -1*(-58)/t.
0
Suppose -18*u = -40*u + 14*u + 920. Suppose 0 = -21*b + 23*b - 48. Calculate the remainder when u is divided by b.
19
Let x(q) = 38*q + 2258. Calculate the remainder when 620 is divided by x(-59).
12
Suppose 0 = -5*o + 4*o - 996. What is the remainder when (2/(-3))/(o/990 - -1) is divided by 16?
14
Let y = -276 + 280. Suppose y*a + 177 = -i + 1493, 3*i - 12 = 0. Calculate the remainder when a is divided by 22.
20
What is the remainder when (-30)/(-170) - 917784/(-68) is divided by 45?
42
Let f be (-2 + 1)/(2/(-8)*-1). What is the remainder when f/7 + 4922/161 is divided by 16?
14
Let g(v) = 2*v**2 - 15*v + 5. Let l(q) = -5*q - 40. Let r be l(-10). What is the remainder when g(r) is divided by 38?
17
Suppose -136*v + 57*v + 42180 = -49*v. What is the remainder when v is divided by 21?
20
Let i = 22 - 60. Let h be (-34)/(-34)*(-28)/(-2). Calculate the remainder when 63 is divided by 228/h - i/(-133).
15
Let q(m) = 8*m**2 - 2*m - 1. Suppose -54 = -2*j - 2*t, -49 - 100 = -5*j + 2*t. Let y = 64 - j. What is the remainder when y is divided by q(-1)?
8
Let z(d) = 3*d**2 - 6*d + 2. Let m be z(-2). What is the remainder when 25 is divided by (m - 25)*(11 + 2)?
12
Suppose -154*g + 48 = -153*g + 4*z, 210 = 5*g + 5*z. Calculate the remainder when (-1)/(-3) - (-1420)/6 is divided by g.
37
Let u = 139 - -36. Let o = u + -161. Suppose -4*f = -9*f + 270. Calculate the remainder when f is divided by o.
12
Let v = -302 - -482. Suppose v = -48*j + 66*j. Calculate the remainder when 78 is divided by j.
8
Let j(l) = 23*l**2 - 2*l - 1. Let n be j(-1). Suppose -2 = -2*b, -p + 6*p + 3*b = 133. What is the remainder when p - (n/4 + -2) is divided by 5?
2
Let m(w) = 348*w + 5688. Calculate the remainder when m(-13) is divided by 38.
24
Let b = -9186 - -9267. Calculate the remainder when 268 is divided by b.
25
Let f be ((-6)/(-12))/(1/(-8)). Let b(k) = -k**3 + 18*k**2 + k - 9. What is the remainder when -2 + (43 - f - 1) is divided by b(18)?
8
Let q = -1383 + 1460. What is the remainder when 5080 is divided by q?
75
Suppose 5*d - 13*v - 90 = 0, 0*d - 20 = -d + 3*v. What is the remainder when 2883 is divided by d?
3
Let f = 29 - 2. Suppose 2*p + 3*p - 605 = 0. What is the remainder when p is divided by f?
13
Let d(v) = 19*v + 16. Let k be d(8). Calculate the remainder when (-6)/10 + 1 - k/(-30) is divided by 3.
0
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