se -9*s + 1680 + 1749 = 0. Suppose y*p - 19 - s = 0. What is the remainder when p is divided by 17?
12
Let y(o) = -213*o + 8 + 625*o - 217*o - 219*o. What is the remainder when y(-6) is divided by 12?
8
Let p = 4628 + -3856. What is the remainder when p is divided by 23?
13
Suppose -13831 = 30*o - 46291. Calculate the remainder when o is divided by 19.
18
Let k(j) = -j**3 - 10*j**2 - 18*j - 79. Let r be k(-9). Calculate the remainder when (-6)/3 + r - 5412/(-11) is divided by 31.
27
Let k be 0/(15/((-60)/(-8))). Suppose 10*x = 13*x - 5*r - 295, x + 2*r - 91 = k. What is the remainder when x is divided by 6?
5
Suppose 0 = 7*z - 21*z + 28. What is the remainder when 74 is divided by 4/18 - (215/(-45) - z)?
4
Suppose 0 = -10*x + 173 + 107. Calculate the remainder when x is divided by (-156)/(-10) - 2/(-15)*3.
12
Suppose 927 = 73*a - 9512. Calculate the remainder when 569 is divided by a.
140
Calculate the remainder when -3*(8 + ((-296)/12 - 4)) is divided by 7.
6
Let t(c) = c - 6. Let g be t(9). Let z be 5 + ((-2)/g - (-56)/(-24)). Suppose y + 21 = z*f, 2*y - 30 = -2*f + 6. Calculate the remainder when f is divided by 3.
1
Let o be ((-584)/(-20) - 6)/((-2)/(-10)). Suppose 390 = -c - o. Let y = -300 - c. What is the remainder when y is divided by 11?
8
Suppose 5*t + p = 6*t - 11, -3*p = -2*t + 23. Suppose 0 = 4*z + v - 19, -t*v = -14*v - 4. What is the remainder when 34 is divided by z?
4
Suppose 4*h - 20 = 2*t, -5*h - 7*t = -2*t + 5. Suppose -76 + 9 = -2*l - a, l - 41 = 2*a. What is the remainder when l is divided by h?
2
Suppose -30*b = -16036 - 12914. Suppose -72*y + 71*y = -3*h + 571, 5*h + 5*y = b. What is the remainder when h is divided by 64?
63
Let k = 25 - 24. Let b(d) = d**2 - 14*d + 4. Calculate the remainder when -60*14/(-8)*k is divided by b(16).
33
Let g = 1764 - -974. Calculate the remainder when g is divided by 145.
128
Suppose 0 = -2*x - x + 57. Let m be 6/4 + 30/(-12) - 73. Let b = m + 109. What is the remainder when b is divided by x?
16
Suppose -557 = 7*u + 33*u - 1717. Calculate the remainder when 947 is divided by u.
19
Suppose -4*o + 66 = -o. Suppose -y - 34 = o. What is the remainder when 133 is divided by 7/y - 651/(-24)?
25
Let w be ((-72)/27)/(1 - (-10)/(-6)). Let o be (-2)/w + 2 + 100/8. Suppose -10*t = -o*t + 52. Calculate the remainder when 46 is divided by t.
7
Suppose 3*x = 2*w - 1477, -5*x - 29 = -4. What is the remainder when w is divided by 21?
17
Suppose -n - 5 = -3*g - 15, 2*g + 35 = -5*n. Calculate the remainder when n - 5/((-5)/161) is divided by 41.
33
Suppose 0 = -a - 2*f - 2, -f + 6 = -3*a. Calculate the remainder when 24 is divided by 104/(-78)*(195/(-12) - a).
5
Suppose 7*h = -11*h - 19872. Let q = h + 1743. Calculate the remainder when q is divided by 8.
7
Suppose -172 = -151*k + 148*k + 5*l, -2*l = 5*k - 235. Calculate the remainder when 1101 is divided by k.
23
Suppose k + 1 + 0 = 0, -5*t + 2*k + 22 = 0. Let g = 4 + 35. What is the remainder when (153 + 0)*(t + -3) is divided by g?
36
What is the remainder when 1297 is divided by ((-15)/2)/(77/(-462))?
37
Let r(q) = -8*q**3 + 35*q**2 + 5*q - 11. Let u be r(5). Let m be (-6)/4*2*1. What is the remainder when -4 + 1 - (u - m/3) is divided by 22?
19
Let k be 266*(-1)/(-12) - 6/36. Let v(b) = -b**3 + 23*b**2 - 19*b - 45. What is the remainder when 145 is divided by v(k)?
19
Let h = -30 + 32. Suppose h*u + 66 = u. Let o = 109 + u. Calculate the remainder when o is divided by 15.
13
Let q(c) = -37*c**3 + 2*c**2 - 2. Let r be 12/(-20) + 4/(-10). Calculate the remainder when 739 is divided by q(r).
36
Let w(u) = 333*u + 5 - 168*u - 167*u. Let l be w(17). Let p(v) = -2*v - 43. What is the remainder when 28 is divided by p(l)?
13
Let w = -34851 + 35480. What is the remainder when w is divided by 201?
26
Suppose 0*j + 241 = 3*j - 5*b, -j - b = -83. What is the remainder when j is divided by -3 - (35/7 - 6) - -3 - -21?
16
Suppose 0 = -26*u + 3473 + 323. What is the remainder when u is divided by 27?
11
Suppose 0 = 26*y - 22*y + 48. Let g be (y/(-10))/(11/((-715)/(-2))). Suppose x - g + 10 = 0. What is the remainder when 56 is divided by x?
27
Let m = -1751 - -2361. Calculate the remainder when m is divided by 185.
55
Let f(x) be the third derivative of -x**5/60 - 7*x**4/24 + 5*x**3 - 3*x**2. Let m = 398 - 407. Calculate the remainder when 44 is divided by f(m).
8
Let m = -3159 + 3189. Calculate the remainder when 1918 is divided by m.
28
Suppose 0*d - 2*g = -d + 135, 3*d - 5*g - 407 = 0. Let z(r) = -r**3 + 27*r**2 - 176*r - 19. Calculate the remainder when d is divided by z(15).
16
Suppose 2*i = -5*y + 1861, -22*y + i = -27*y + 1858. What is the remainder when y is divided by 6?
5
Let v = -178 + 180. Suppose -2*m - l = -38, -v*l = -l + 2. What is the remainder when 38 is divided by m?
18
Let h = 22251 - 22197. Calculate the remainder when 1241 is divided by h.
53
Suppose -6*t = -4*w - 8*t + 48, -2*w + t = -24. Let z(a) = -9*a - 1. Let v be (-3)/(-9)*(-11 - -5). What is the remainder when z(v) is divided by w?
5
Let x(l) = 12*l - 65. Let d be x(-11). Let u = d + 71. Calculate the remainder when 69 is divided by (-7)/(u/12) + 40/3.
13
Let t(c) = 43*c + 1158. Let f be t(-23). Suppose 3*b + 208 = 946. Let d = b - f. What is the remainder when d is divided by 26?
25
Let u(v) = v**3 + 82*v**2 + 298*v - 13. What is the remainder when u(-4) is divided by 40?
3
Let g = 1396 - 720. Suppose 11*f + 2*f = g. Suppose 0 = 4*u + x + 3*x - 84, -45 = -2*u - 3*x. What is the remainder when f is divided by u?
16
Suppose 6 = s + 3. Suppose j - 3*y - s = 6, -2 = -4*j - 5*y. Suppose 0 = 4*c - 12, -5*c - 9 = j*n - 201. What is the remainder when n is divided by 13?
7
Suppose -216252 = 11*l + 59298. Calculate the remainder when (18/21)/6 + l/(-21) is divided by 52.
49
Suppose -106*q - 8472 + 26704 = 0. Calculate the remainder when 615 is divided by q.
99
Let x(g) = -18*g**2 - 13*g**2 - 3*g + 32*g**2. Let b be x(4). Suppose -1 = -a, 22 = b*w + 3*a - 17. What is the remainder when 23 is divided by w?
5
Suppose 356 = 2*g - 4*y, -27*y + 26*y = -3*g + 549. Calculate the remainder when g is divided by 54.
22
Let b(a) = 56*a + 1073. Suppose -4*s + 4*m + 104 = 0, -129 = -4*s - 0*m - m. What is the remainder when s is divided by b(-19)?
4
Suppose 5*l - 182 = -v, 2*v - 3*l - 332 = -5*l. Calculate the remainder when v is divided by 15/40*(-280)/(-35) + (51 - 2).
6
Suppose 4*s = 10*s - 420. Let i = 201 + -161. Calculate the remainder when s is divided by i.
30
Let g(v) = v**2 + 13*v + 23. Let u be g(-11). Suppose -9*d + 11*d + 4*n = 108, -4*d - n = -202. What is the remainder when d is divided by 19 - (u - 4/(-4))?
16
Let d = -146 + 243. Let v = 123 - d. What is the remainder when v is divided by 15?
11
Suppose 4*p = 33 + 7. Suppose 37 = 5*y - 4*d, 5*d = -y - p - 0. Let t(z) = 3*z**2 + 2*z - 2. What is the remainder when t(-2) is divided by y?
1
Suppose 94*j + 3479 - 9479 - 9886 = 0. Let p be 3/(-1 - -3 - 3). Calculate the remainder when j is divided by (-50)/p + (-4)/(-12).
16
Suppose 13 - 541 = -22*k. Let u(o) = o**3 - 2*o. Let x be u(2). What is the remainder when x/2 - 2 - -47 is divided by k?
23
Let s(k) = -2*k**3 + 50*k**2 - 35. Let v be s(25). What is the remainder when (6 + 4)/5 - v is divided by 8?
5
Suppose 0 = 221*p - 419596 - 177104. Calculate the remainder when p is divided by 899.
3
Suppose -4*d = 3*p - 1808, -5*d - 107 = -2*p + 1060. Suppose 8*f - 13*f = -20, 5*k = 32*f - 28*f + 359. What is the remainder when p is divided by k?
71
Let d = -308 - -312. Suppose d*m - m - 346 = -5*j, -4*j = 4*m - 272. What is the remainder when j is divided by 28?
15
Suppose -5*u = 4*g - 0*u - 19, -5*g - 3*u + 40 = 0. Let d be (-240)/18 + (-50)/30. Calculate the remainder when ((400/d)/(-4))/((-8)/(-24)) is divided by g.
9
Suppose -4*k + 169 = y, 3*k - 92 = -2*y + 286. Let x = -29 + 63. What is the remainder when y is divided by x?
31
Let t = 18309 + -18295. Calculate the remainder when 1298 is divided by t.
10
Suppose -2*b + 84*n - 82*n + 258 = 0, -3*n - 253 = -2*b. Calculate the remainder when 275 is divided by b.
7
Let w = 5446 - 31. Calculate the remainder when w is divided by 126.
123
Let w(m) be the second derivative of 7*m**3/3 - 33*m**2/2 + 3*m - 27. What is the remainder when 394 is divide