s + 8 = -l. Calculate the remainder when s is divided by 31.
11
Let k(t) = -t**3 + 37*t**2 + 13*t + 9. Let a be k(37). Let w = -413 + a. What is the remainder when 96 is divided by w?
19
Suppose -4*a + 2*y + 176 = 0, -8*a - 5*y + 339 = -49. What is the remainder when 287 is divided by a?
11
Calculate the remainder when 0 + 2 + -1 - -11*39 is divided by ((-351)/18)/(-39) - (-71)/2.
34
Suppose 2*i + h - 541 = -i, -25 = 5*h. Suppose i = -2*r + 312. Calculate the remainder when r is divided by 34.
31
Suppose -5*i = -5*c + 655, 2*i + 193 = 5*c - 447. Suppose 0 = -12*p + 26*p - 812. What is the remainder when c is divided by p?
10
Let q(d) = 70*d**2 - 272*d - 11. Let w be 0 + -1 + 183/3. What is the remainder when (4 - 3)*(1 + w) is divided by q(4)?
19
Suppose 4*a + 1056 = 5*k, -55*k + 51*k + 852 = -2*a. What is the remainder when 42982 is divided by k?
214
Let h = 3015 + -2966. What is the remainder when 138 is divided by h?
40
Let g = -8673 + 9447. What is the remainder when g is divided by 256?
6
Suppose 0 = d - 6*d - 4*q + 467, -3*d = q - 283. What is the remainder when d is divided by (40/(-3))/(2 + (-32)/12)?
15
Suppose 3*n = 7*n. Let h = -293 + 298. Suppose n*t + 105 = h*t. What is the remainder when t is divided by 11?
10
Let g(r) = -r**3 + 20*r**2 + 14*r - 131. What is the remainder when g(18) is divided by 262?
245
Suppose -y = 2*u - 271, 0 = -2*y + 16*u - 15*u + 507. Calculate the remainder when 680 is divided by y.
166
Suppose 0*d + d - 15 = 0. Suppose r + l + d = -l, 10 = -4*r + 2*l. Calculate the remainder when 29 is divided by (-53)/r + (-9)/15.
9
Let r(q) = 7*q**3 + q + 2. Let w(g) = -g**3 + 2. Let u(t) = r(t) - 2*w(t). What is the remainder when 79 is divided by u(1)?
7
Let p(j) = -j**3 - j - 1. Let k be p(-3). Let z be ((-2160)/25)/8*(-25)/15. Let n = k - z. Calculate the remainder when 19 is divided by n.
8
Let h be (-418)/(-12)*-4 + (-105)/63. Let w = h - -214. Suppose 4*d + 0*m = -4*m + 144, 4*d + 3*m - 146 = 0. Calculate the remainder when w is divided by d.
35
Suppose 10 = -2*n, 56*r - n + 50 = 57*r. Calculate the remainder when (-54)/(-8)*64/2 is divided by r.
51
Suppose -5*f = 3*q + 323 - 1233, 5*f = -5*q + 910. What is the remainder when 348 is divided by f?
166
Let g = -57 + 57. Suppose g*o + 50 = o. Suppose -5*h + 19 + 21 = -2*a, 5*h = 4*a + o. Calculate the remainder when 29 is divided by h.
5
Suppose -3*u + 28 = m, 3*u - 78 + 37 = -2*m. Suppose 4*s - 284 = 12. Calculate the remainder when s is divided by m.
9
Let n = -872 + 880. Suppose n*o + 7266 = 29*o. What is the remainder when o is divided by 70?
66
Let c = 5686 - 3706. What is the remainder when c is divided by 64?
60
Suppose 0 = 29*y - 18882 - 8697. Calculate the remainder when y is divided by 16.
7
Suppose -106 = 2*d - 2*l, -3*d - l = 4*l + 151. Let o = d + 54. Suppose -o*a + 48 = 2*z, -z - 33 - 15 = -2*a. What is the remainder when a is divided by 9?
6
Let i = -4334 - -50270. What is the remainder when i is divided by 71?
70
Let y(o) = o**3 + 30*o**2 - 8*o - 234. What is the remainder when 1508 is divided by y(-30)?
2
Let v = 782 + -726. Let r(g) = g**3 - 5*g**2 + 1. Calculate the remainder when v is divided by r(6).
19
Calculate the remainder when 3425 is divided by 7504/(-168)*102/(-4).
8
Suppose 734 + 1280 = 38*m. Calculate the remainder when 325 is divided by m.
7
Let p = 658 - 545. Let o be (-4)/14 - 1/(28/(-288)). Suppose 2*h - 104 = o. Calculate the remainder when p is divided by h.
56
Suppose -4*l + 3*l + 5 = 0. Suppose -3*a = -l*n + 245, a - 2*n = -3*a - 322. Let q = 131 + a. Calculate the remainder when q is divided by 13.
12
Let i(u) = -u**3 + 8*u**2 + 5*u - 26. Let x be i(8). Suppose 8 = -2*j + x. Calculate the remainder when 13 is divided by j.
1
Let k be (-4)/(-22) + (-860)/(-110). Suppose -k*i = -13*i + 410. What is the remainder when i is divided by 25?
7
Let a = -462 + 497. What is the remainder when (50/6)/(a/126) is divided by 18?
12
Let p = -103 + 121. Let w = 40 - p. Calculate the remainder when 106 is divided by w.
18
Let g(l) = 29*l**2. Let o be (-55545)/(-350) + 6/20. Suppose -11*r = -8*r - a - o, 5*a = 0. What is the remainder when r is divided by g(1)?
24
Suppose b - 2*r - 62 = -41, -b - 3*r = -26. What is the remainder when 201 is divided by b?
17
Let f(z) = -16*z**2 - 129*z + 5. Suppose -4*a + 336 = -s, -3*a - s + 253 = -2*s. Calculate the remainder when a is divided by f(-8).
5
Let t = 103 - -78. Let x = t - 90. What is the remainder when x is divided by 31?
29
Let f = -10396 + 11021. Calculate the remainder when 641 is divided by f.
16
Let q(d) = 14*d**2 + 2*d - 1. Let r be q(2). Let b = -29 + r. What is the remainder when b is divided by (15/25)/(4/60)?
3
Let z(b) = -b**2 + 18*b + 31. Let o be z(17). Let t = -5 + o. Calculate the remainder when t is divided by (-1)/3 - 102/(-9).
10
Calculate the remainder when 63 is divided by (-876)/(-24) - 4 - 12/(-8).
29
Let a be (40/6)/((-4)/66). Let h = -75 - a. Suppose -w + 61 = 3*v, 3*w - 1 = 2*v - 16. What is the remainder when h is divided by v?
17
Let r(f) = f**2 - 8*f + 17. Suppose 7*z + 1 = 43. Let n = 3 - -21. What is the remainder when n is divided by r(z)?
4
Let l(s) = 71*s + 770. Calculate the remainder when 322 is divided by l(-10).
22
Suppose 1368 + 35 + 1691 = 238*q. What is the remainder when 1232 is divided by q?
10
Suppose 0 = -5613*l + 5609*l + 1136. What is the remainder when l is divided by 167?
117
What is the remainder when (406/(-4) + -3)/(4 - (-250)/(-60)) is divided by 74?
35
Suppose 0 = -3*a - 2*c + 43, -c + 34 - 5 = 2*a. What is the remainder when 563 is divided by a?
8
Let k = 2871 + -2583. What is the remainder when k is divided by 19?
3
Suppose -124*p + 17909 = -36527. What is the remainder when p is divided by 146?
1
Let x = -3890 - -3921. Calculate the remainder when 252 is divided by x.
4
Let p be (-3 + 14/4)*18. Let a(m) = -20 - m + 30 + 14. Calculate the remainder when 73 is divided by a(p).
13
Suppose 5*z + 218 = 2*i + 1058, 4*z - 2*i - 674 = 0. What is the remainder when z is divided by 77?
12
Let c(r) = r**3 + 14*r**2 + 10*r + 1. Suppose 0*g = -4*g + 5*b + 613, -151 = -g + 2*b. What is the remainder when g is divided by c(-13)?
37
Let k(p) = -874*p + 4505. Calculate the remainder when 3509 is divided by k(5).
134
Suppose -s = -5*l - 228, 4*s - 802 = -5*l + 3*l. Calculate the remainder when s is divided by 96.
11
Let f be 4/14 + -5 + 33/7. Suppose -4*j + 4 = f, 0*j - 42 = -5*z + 3*j. Calculate the remainder when 35 is divided by z.
8
Suppose 5*c + 71 = 6*c. Let y(z) = -z**2 + z. Let j(a) = -4*a**2 + 5*a + 24. Let v(w) = j(w) - 6*y(w). Calculate the remainder when c is divided by v(0).
23
Let l be 14 - -12*7/(-6). Let u be -1*(-14 + 2/(-2)). Suppose -u + l = -3*d. Calculate the remainder when 52 is divided by d.
2
Suppose 0 = -p - 4*p - 10, 16 = 3*m + 4*p. What is the remainder when 443 is divided by m?
3
Let z(n) = -21*n + 496. What is the remainder when z(16) is divided by 31?
5
Suppose 244*g - 249*g = -252 - 373. What is the remainder when 360 is divided by g?
110
Suppose 5*l - 312 = -2*q + 503, 3*q = -l + 176. Suppose -39 = -g + o, -28*g + 27*g = 2*o - 45. What is the remainder when l is divided by g?
38
Suppose -3*m - 393 = -0*m. Let s = m + 223. Let r = 131 - s. What is the remainder when r is divided by 20?
19
Suppose -3*x + 367 = 4*i, -423 = -5*x + i + 158. Calculate the remainder when 583 is divided by x.
115
Suppose -3*t + 6*t - 483 = 0. Suppose 0 = 53*o + 48*o + 7878. Let g = o + t. Calculate the remainder when g is divided by 21.
20
Let t = -5772 + 5781. Calculate the remainder when 99 is divided by t.
0
Suppose 0 = -3*i - 5*l + 6206, 3*i + 2907 = -4*l + 9109. What is the remainder when i is divided by 53?
48
Suppose 2*r - 744 = 4*d - 2*d, 0 = -5*r - d + 1860. Let y = r - 313. Calculate the remainder when y is divided by 21.
17
Suppose 3*d - 4944 = -3*a, -21*d + 20*d = -5*a + 8186. What is the remainder when a is divided by 47?
41
Let x = 25 + -21. Suppose 5*i - 5 = -k + 3*k, i = x*k + 55. Let d(h) = -4*h - 39. Calculate the remainder when 187 is divided by d(k).
19
Let t(i) = -i**3 - 2*i**2 + 2. Let c be t(-2). Let z be c*(1485/(-10))/(-9). Let h = -14 + z. Calculate the remainder when h is divided by 4.
3
Let q(u) = -4*u**2 + u - 2. Let p