/3822 is divided by 97.
2
Suppose 4*d - 5*d + 55 = 3*q, -2*d = 5*q - 115. Suppose -w + 178 = 4*f, 2*w - d = -4*f + 106. What is the remainder when f is divided by 12?
9
Calculate the remainder when (-382913)/(-524) - (-10)/8 is divided by 21.
18
Let o = -5460 - -6848. What is the remainder when o is divided by 199?
194
Suppose -17*k + 12*k = -15. Suppose k*g - 7*g = 84. Let b = 33 + g. Calculate the remainder when 71 is divided by b.
11
Let r be 480/(-32) + 7/1. Let m(z) = 8*z + 174. What is the remainder when m(r) is divided by 29?
23
Suppose -5*u - 140 = -10*u. Let j be 5/2 - 1 - 182/u. Let g(h) = -17*h - 33. What is the remainder when 155 is divided by g(j)?
51
Suppose 0*r + 21 = 3*r. Let b be (34 + 2)/(16/(-24)). What is the remainder when 1*25*(55 + b) is divided by r?
4
Suppose 4*m + 24 = 4*s, -m - 2*m = 4*s + 32. Let d(f) = -f**2 - 9*f + 10. Let x(r) = r + 2. Calculate the remainder when d(m) is divided by x(2).
2
Let i = -1580 + 1598. What is the remainder when 507 is divided by i?
3
Let n be -4 - (4 + (-6 - 2)). Suppose n = -5*x + 3*y + 155, x + 5*y + 1 = 4. What is the remainder when 52 is divided by x?
24
Let j(c) = c**2 - 5*c - 4. Let w be j(-4). Let x = -958 + 962. Suppose 2*r = w + x. Calculate the remainder when r is divided by 13.
5
Let n(o) = o**3 + 19*o**2 + 43*o + 703. What is the remainder when n(-16) is divided by 168?
111
Suppose 26 = -6*s + 38. Let k(w) = -w**2 + 6*w + 2. Let a be k(6). Suppose -a*j = -3*n - 29, -1 + 4 = -j - 2*n. Calculate the remainder when j is divided by s.
1
Suppose 11*v + 270 = -4*v. Let x = v - -63. What is the remainder when 223 is divided by x?
43
What is the remainder when (7 - 3)/((345/8940)/23) is divided by 299?
291
Suppose -268*z + 4 = -266*z. Suppose z*x = -6, -5*w + 9*x = 4*x - 545. Calculate the remainder when w is divided by 24.
10
Let z(b) be the first derivative of -3*b**2 + 19*b + 68. Let u = 26 - 29. Calculate the remainder when z(u) is divided by 13.
11
Let a(j) = -j**3 - 18*j**2 + 48*j + 556. What is the remainder when 8607 is divided by a(-19)?
2
Let k(s) = -s**2 - 18*s + 360. Calculate the remainder when 803 is divided by k(-18).
83
Let c = -6025 - -7076. Calculate the remainder when c is divided by 185.
126
Let c = 2855 - 2758. Let r(q) = -q**3 - 8*q**2 - 7*q + 7. Calculate the remainder when c is divided by r(-7).
6
Suppose 4*r - 1637 = -o, -19*r + 23*r + 6728 = 4*o. Calculate the remainder when o is divided by 6.
5
Let z = 227 - 200. Suppose z*p - 418 = 8*p. Calculate the remainder when 29 is divided by p.
7
Suppose 5*a - a - 144 = 0. Suppose 4*h - 52 + a = 0. Suppose 49*m = 32*m + 255. What is the remainder when m is divided by h?
3
Calculate the remainder when 183 is divided by 16/(-6)*17271/(-606).
31
Suppose -1315 = -3*j + 2*y, -406 = -2*j + 3*y + 479. Calculate the remainder when j is divided by 22.
17
Let s(c) be the third derivative of c**6/120 - c**4/4 + 13*c**3/6 + 345*c**2. Calculate the remainder when 211 is divided by s(4).
52
Let d = 60992 - 60931. Suppose -3 = -2*j - 9, -4*h - 3*j = -75. Calculate the remainder when d is divided by h.
19
Suppose -4*j + 33 = -5*p + 123, 71 = 3*p + j. Suppose 18*n - 960 = -p*n. What is the remainder when 427 is divided by n?
19
Suppose -3*w + 3*v - 5*v - 3 = 0, -2*w - 2*v - 4 = 0. What is the remainder when 3 + (w/(-2))/((-11)/1100) is divided by 28?
25
Let d = -1272 + 1300. Calculate the remainder when 556 is divided by d.
24
Let w = 46 - 19. Suppose -8*c + 339 + 1365 = 0. Calculate the remainder when c is divided by w.
24
Let d = 417 + -279. Let x(h) = 2*h**2 + 12*h + 14. What is the remainder when d is divided by x(-7)?
26
Suppose 220*p + 166419 = 1573*p. Let a = -17 + -37. Let n = -29 - a. What is the remainder when p is divided by n?
23
Let o(g) = -2*g**2 + 3*g + 23. Let i be o(-3). What is the remainder when 79 is divided by i + (-52)/5*5/(-2)?
13
Suppose 3*s = -5*n - 80, 7*n = -4*s + 5*n - 102. Calculate the remainder when 23 is divided by s/(-4) + (-5)/20.
5
Let x be 4/(-14) - 555/(-7). Suppose 0 = 4*p + 8, 2*h = 2*p - 3*p - 118. Let m = x + h. What is the remainder when 62 is divided by m?
20
Let c(b) = b**3 + 46*b**2 + 458*b - 658. Suppose 7*t = 2*t + 40. Let w = t - 6. Calculate the remainder when c(-30) is divided by w.
0
Let p be (-7)/(49/(-707)) - 6. Let j be ((-4)/(-1))/2*57. Let q = j - p. Calculate the remainder when 59 is divided by q.
2
Suppose 39 = 5*k - q, 4*k - 17 = q + 14. Suppose -23 = 5*j - 3, -j = -5*a + 59. Calculate the remainder when (-43 - -1)*(-4)/k is divided by a.
10
Suppose 45 + 12 = 3*k. Let g(u) be the first derivative of u**3/3 - 7*u**2/2 + 7*u - 1. What is the remainder when k is divided by g(0)?
5
Suppose 5*f - 124 = -19. Let c = f - 13. What is the remainder when 2 - 717/(-36) - (-1)/12 is divided by c?
6
Suppose -17 + 2 = -3*p. Suppose -f + 449 = p*q, -8*f + 7*f - 352 = -4*q. Calculate the remainder when q is divided by 7.
5
Suppose -4*f + 2*m + 2046 = -2176, -f + 1063 = 2*m. What is the remainder when f is divided by 262?
9
Let a be (-430)/45*-3 - (-1)/3. Let p = 1 + a. Suppose -19*x + 18*x = -p. Calculate the remainder when 86 is divided by x.
26
Suppose -67*c = -476 - 328. Calculate the remainder when 22 is divided by c.
10
Suppose 0 = -2*w - x + 1144, 33*w - 38*w + 5*x + 2845 = 0. Calculate the remainder when w is divided by 64.
59
Let m(y) = -y**3 - 8*y**2 + 10*y - 9. Calculate the remainder when m(-12) is divided by 93.
75
Let c be -2*(-5)/((-40)/(-208)). Suppose 61*r - 207 = c*r. What is the remainder when 456 is divided by r?
19
Let a = 3760 + -3684. What is the remainder when 19147 is divided by a?
71
Let f = 192 + -192. Suppose f = -13*j + 16*j - 117. Let r = 32 + -24. Calculate the remainder when j is divided by r.
7
Let s(y) be the third derivative of 8*y**5/15 + y**4/6 - 5*y**3/6 - 42*y**2. Calculate the remainder when 54 is divided by s(1).
23
Let q = -639 + 330. Let v = 433 + q. Calculate the remainder when v is divided by 16.
12
Let d be 0 + (-3)/((-3)/(-7)). Let j = d + 23. Suppose -2*t - 130 = -2*s, -3*t + 165 = 16*s - 13*s. Calculate the remainder when s is divided by j.
12
Let u(o) = 8*o - 55. Let r be u(10). Suppose 24*w - 26 = r*w. Calculate the remainder when 93 is divided by (-4 - (-2 + w))*1.
21
Let l = 11739 - 11601. Calculate the remainder when 5793 is divided by l.
135
Let l be (-274)/(-6) + (-10)/15. Let k = 66 - l. Suppose -158 = -z - z. Calculate the remainder when z is divided by k.
16
Suppose -60 = -7*x + 2*x. Let t(q) = -9*q + 14. Let c be t(x). Let r = -56 - c. What is the remainder when 73 is divided by r?
35
Suppose 81*i = -96*i - 5*i + 10738. Calculate the remainder when 348 is divided by i.
53
Let k = -50738 + 50768. Suppose -5*x = -0*x - 3*w - 18, -3*x + w = -14. Calculate the remainder when ((-63)/4)/(x/(-32)) is divided by k.
24
Calculate the remainder when (39 - (-2700)/(-72)) + (-362)/(-4) is divided by 76.
16
Let u(n) = -11*n + 158. Let v be u(15). Calculate the remainder when 66 is divided by (6/v)/((-2)/84).
30
Let z(k) = -k**3 - 12*k**2 - 37*k - 17. Let d be z(-8). Let n = -58 - -86. Suppose 0 = -d*a + n*a - 295. What is the remainder when a is divided by 15?
14
Let u = 3599 - 3536. What is the remainder when 144 is divided by u?
18
Suppose 374 - 500 = -7*i. What is the remainder when 393 is divided by i?
15
Let f be 3 + (2 - -32)/(-1). Let i = -3 - f. Let l(r) = -r**3 - 22*r**2 + 3*r + 76. What is the remainder when i is divided by l(-22)?
8
Calculate the remainder when -57*(0 - 198/27) is divided by 17.
10
Let w = -312 - -542. Suppose 5*h - 3*i = 2*i + w, 5*i - 16 = -h. Calculate the remainder when 80 is divided by h.
39
Suppose 2531*r - 2436*r - 25683 = 20487. What is the remainder when 996 is divided by r?
24
Let r(m) = 2*m**3 - 8*m**2 + 10*m + 11. Let f be r(12). Suppose -183*g + 178*g = -f. What is the remainder when g is divided by 8?
7
Suppose -7042*l + 7035*l + 98 = 0. What is the remainder when l is divided by -3 - (-9 + 0 + 3)?
2
Calculate the remainder when 668 is divided by -48*(10 - 124/12).
12
Let f(s) = -19 + 11*s + 11 + 78 - 10*s. Let g(n) = 12*n - 8. What is the remainder when g(6) is divided by f(-46)?
16
Let r = -144 + 144. Suppose -j = 3*x - 81, r = 4*x - 3*x - 4*j - 14. What is the remainder when 100 is divided by x?