 + z. Suppose 4*q + 206 = -0*a + 3*a, 2*a - f = -5*q. What is the remainder when a is divided by 17?
15
Calculate the remainder when 648/(-1458) - 105776/(-18) is divided by 42.
38
Suppose -25 = -20*y + 15*y. Suppose -33 = -s + 2*w, 2*s - 3*s + 18 = -y*w. What is the remainder when s is divided by 8?
3
Suppose -14*y - 229 - 507 = -46*y. Calculate the remainder when 38 + (-9)/(-6)*-2 is divided by y.
12
Let v(p) = -p + 17. Let c be v(5). Suppose t - 164 = -c. What is the remainder when t is divided by (2 + 29)/((-2)/(-2))?
28
Suppose -v + 112 = 3*h, 3*h + 14 = 2. Let g = -75 + -215. Let x = 311 + g. Calculate the remainder when v is divided by x.
19
Let p = 37 + -33. Suppose 5*k + 80 = 8*o - 3*o, 0 = -p*o + k + 55. Suppose -34*z = -29*z - 250. What is the remainder when z is divided by o?
11
Suppose -j + 16 = 4*m, -3*m + 5*j - 5 = 2*m. Suppose 18*l = 19*l - m*o - 27, -3*l = 2*o - 59. Calculate the remainder when l is divided by 13.
8
Let m = 3109 - 2839. Calculate the remainder when m is divided by 58.
38
Let s(b) = -169*b - 16835. What is the remainder when 2832 is divided by s(-100)?
37
Let f(k) be the first derivative of 11*k**2 - 46*k - 169. What is the remainder when f(37) is divided by 22?
20
Suppose -21*s - 51*s = -1800. Calculate the remainder when 166 is divided by s.
16
Let n be -8 - 3550/(-45) - 2/(-18). Suppose 0 = 3*b - 2*z - 81, 0 = -3*b - 5*z + 10 + n. Calculate the remainder when 177 is divided by b.
15
Let p = -16738 - -17407. What is the remainder when 676 is divided by p?
7
Suppose -142 = -46*u - 25*u. Let i(s) = -s**3 - 6*s**2 + 7*s + 8. Let q be i(-7). Suppose 5*k - 3*k - q = 0. What is the remainder when k is divided by u?
0
Suppose -12 = 3*c - 3*z - 3, -c - 2*z + 3 = 0. Let h(i) = -4*i - 1. Let w be h(c). Let q(y) = 10*y + 4. Calculate the remainder when 66 is divided by q(w).
32
Let n = 24199 + -24113. Let z = -47 + 130. Suppose z = -m + n. Calculate the remainder when 4 is divided by m.
1
Suppose 0 = -5*b - 5*r + 1050, -3*b + 1974*r - 1972*r = -655. What is the remainder when 2771 is divided by b?
191
Let v(j) = -2*j**3 - 78*j**2 - 502*j - 20. Calculate the remainder when 324 is divided by v(-8).
16
Let d = 3490 + -3149. What is the remainder when 355 is divided by d?
14
Suppose 0 = 2*w - 15 + 9, 0 = 5*q - 8*w - 771. What is the remainder when 176 is divided by q?
17
Suppose -5*i + 206 = 30*i - 599. What is the remainder when 3172 is divided by i?
21
Suppose 22*m + 9*m = 8*m + 2001. Calculate the remainder when 382 is divided by m.
34
Suppose 2*w - 139 = v, -3*v = -2*w + 2*v + 159. Let j = -40 + w. What is the remainder when 240 is divided by j?
24
What is the remainder when 8/108 - 178120/(-1080) is divided by 109?
56
Suppose 3*b - 13*b + 80 = 0. What is the remainder when b is divided by (45/18)/(2/4)?
3
Let g(z) = -19*z - 200. Let v be g(-19). Suppose 166*x = v*x + 90. What is the remainder when (-10)/2*1*-7 is divided by x?
17
Suppose 700 = -0*u + 5*u. Let r(f) = -f**3 - 341*f**2 + 748*f + 21295. What is the remainder when u is divided by r(-343)?
24
Suppose -7*h - 663 = 842. Let q = 327 + h. Suppose 104 + q = 9*f. Calculate the remainder when 117 is divided by f.
21
Let v = 198 - 195. Suppose v*k - 2*b - 95 = 0, -2*b + 36 = 3*k - 67. Calculate the remainder when 78 is divided by k.
12
What is the remainder when (0 + 10 + -9)*437 is divided by 17?
12
What is the remainder when 730 is divided by (-5)/((-225)/(-6)) - 134940/(-2925)?
40
Let s be (8 - 0)*22/(-8) - 0. Let d be s/(-10) - (-2)/(-10). Suppose 5*f - u = 3*u + 38, u - 10 = -d*f. Calculate the remainder when 21 is divided by f.
3
What is the remainder when (-396)/154*(-749)/3 is divided by 214?
0
Suppose -4*b + 284 = 2*t - 78, -4*b = -5*t + 919. Suppose -17*f + 176 = -215. What is the remainder when t is divided by f?
22
Suppose 0 = -3*v + 91 + 8. Let z = -489 - -172. Let q = z + 330. What is the remainder when v is divided by q?
7
Let n(a) = 176*a - 1896. Let c(x) = -x**3 - 3*x**2 - 2*x - 4. Calculate the remainder when c(-6) is divided by n(11).
36
Let x(c) = -2*c**3 - 2*c**2 - 3*c - 1. Calculate the remainder when (-28)/2*(14/4 + -9) is divided by x(-2).
12
Suppose 0 = -2*x + 5*x + 4*d - 1312, 0 = 5*x + 3*d - 2194. What is the remainder when x is divided by 173?
94
Let k = -260 - -400. What is the remainder when 62 is divided by ((-102)/9 + 2)*(-360)/k?
14
Suppose 9*d - 80 = 28. Let t be 3*(-2 - (-10)/3). Calculate the remainder when 21 is divided by (3 + (-10)/t)*d.
3
Let o(a) = 4*a**2 - 2*a + 34. Let j be o(5). Suppose -236 - j = -15*y. Calculate the remainder when 71 is divided by y.
23
Let u(t) = -2*t**3 - 80*t**2 + 18*t + 737. Suppose 0 = -5*r + 28 - 3. Calculate the remainder when u(-40) is divided by r.
2
Suppose -2*a + 2844 = 2826. Calculate the remainder when 221 is divided by a.
5
Let c = 256 - 162. Suppose 3*i - 5*p + 2 + 0 = 0, -p + 3 = 2*i. Let u(s) = 20*s**3 - s**2 - s + 1. Calculate the remainder when c is divided by u(i).
18
Let l(q) = q**3 - 13*q**2 - 7*q - 75. Let y be (-8 - -7)/(6/(-84)). Suppose -5 - 5 = -b. Calculate the remainder when l(y) is divided by b.
3
Let b(o) = 4*o**3 + 2*o**2 + 7. Let d be b(4). Suppose 5*m = 5*t + 295, t - d = -3*m - 2*m. Calculate the remainder when m is divided by 17.
8
Let v = 12377 - 12273. Calculate the remainder when 211 is divided by v.
3
Let b(i) = -i**3 - 5*i**2 + i + 7. Let q be b(-5). Let r(j) = 2*j**2 - 2*j**q - 4*j + 15*j + 3*j**2. Calculate the remainder when r(-4) is divided by 3.
1
Suppose 19*z = 42*z - 5*z - 1512. Calculate the remainder when 754 is divided by z.
82
Let q(n) = -n**3 - 7*n**2 - 18*n - 20. What is the remainder when 3496 is divided by q(-7)?
104
Suppose 5*f = l - 78, -4*l + 3*f - 392 + 568 = 0. Let a = 520 - 349. Calculate the remainder when a is divided by l.
19
Suppose o + 2*o = 2*a + 112, 5*o - 190 = 5*a. Suppose 0 = 35*z - o*z + 5. What is the remainder when 10 is divided by z?
0
Let k = 4 - 3. Suppose -m - 6*v = -v + k, -2*m - 2*v + 6 = 0. Calculate the remainder when 4/((-11)/(-297)*-12) + 16 is divided by m.
3
Suppose 3*t - 64 + 40 = 0. Suppose -5*z + 89 = 3*p, t*p = 7*p - z + 33. Calculate the remainder when 568 is divided by p.
36
Suppose 365*b = 4*l + 369*b - 5864, 5*l + b - 7310 = 0. Calculate the remainder when l is divided by 215.
171
Suppose 3*h + 12 = 0, -5*h + 4 = 2*y - 0*h. What is the remainder when 152 is divided by (((-136)/3)/4)/((-8)/y)?
16
Let c = -154 + 169. Suppose -48 - c = -3*o. What is the remainder when 165 is divided by o?
18
Let o = -220 - -301. Suppose -g = -t + 86, -t + o = -0*t - 2*g. Calculate the remainder when t is divided by 39.
13
Suppose -5*f + 6 = -14. Let t = 9 + f. Let o = 498 - 423. Calculate the remainder when o is divided by t.
10
Let h(b) = -19*b - 52. Let r be h(-7). Let a = 94 - r. What is the remainder when 44 is divided by a?
5
Let x(o) = 11*o - 28. Let w be x(4). Suppose -w = 3*v - 10. What is the remainder when 183 is divided by (-8)/16*(-74 + (-2 - v))?
35
Let m = -2 - -135. Let n = 74 + -74. Suppose 8*o = -n*o + 136. Calculate the remainder when m is divided by o.
14
Let n(l) = -330*l**2 - l. Let f be n(-1). Calculate the remainder when 147 is divided by f/(-35) + (-3)/(-5).
7
Let k = 5263 - 4817. What is the remainder when k is divided by 302?
144
Let b(g) = -2*g**3 - 5*g**2 + g - 13. Let z be b(-4). Suppose 0 = z*h - 502 - 1203. Calculate the remainder when h is divided by 30.
25
Let s(a) = 2*a**2 - a + 9. Let m be s(4). Suppose 5*l = -5*i - m + 92, 4*i - l = 49. Calculate the remainder when 67 is divided by i.
7
Let l(h) = -2*h**2. Let g(q) = -9*q**2 + 10*q + 52. Let i(b) = -g(b) + 4*l(b). Calculate the remainder when i(18) is divided by 34.
24
Let h = -10525 + 10592. What is the remainder when 362 is divided by h?
27
Suppose -39*s + 35*s = -16. Suppose 0*r + 5*r = 3*k + 591, 109 = r + s*k. Calculate the remainder when r is divided by 34.
15
Suppose 4*l - j = 5*l - 530, 2*j = l - 524. What is the remainder when l is divided by 23?
22
Let h = 573 + -608. What is the remainder when 147 is divided by (-1208)/(-22) - h/385?
37
Suppose 39*g - 40 = 34*g. Suppose 0 = 3*h - 4*y - 62 + 14, -3*y = 5*h - 109. What is the remainder when (0 + 4/g)/(2/212) is divided by h?
13
Let f = -510 + 1445. What is the remainder when 98 is 