
Suppose 4*p = 13 - 217. Let d = p + 53. Suppose -d*v + 180 = -0*v. What is the remainder when v is divided by 31?
28
Let i(f) = 22*f**2 - 113*f - 846. Calculate the remainder when i(-7) is divided by 504.
15
Let n(p) = 100*p**2 - 462*p - 45. What is the remainder when 292 is divided by n(5)?
2
Let z(j) = 5*j**2 - j - 1. Suppose -2*a + 12 = 6. Let c be z(a). Suppose 77 = 4*b + 5*w, -w + c + 29 = 5*b. Calculate the remainder when 24 is divided by b.
11
Suppose -3*x + 9 + 18 = 0. Suppose -x = 3*b, -2*p + 20 = -p + 5*b. Suppose -276 = g - 5*g. What is the remainder when g is divided by p?
34
Suppose 0 = 2*u + 5*c - 6, 25*u - 21*u = -3*c + 26. Suppose -5*b + 2*r = -681, -2*b - 4*r + 266 = -u*r. What is the remainder when b is divided by 7?
4
Let r = 8001 - 7411. Calculate the remainder when r is divided by 188.
26
Suppose -2*n + 139 = -77. Calculate the remainder when n is divided by 4/(-18) - (15 + (-6744)/216).
12
Let x = 2910 + -2600. What is the remainder when x is divided by 79?
73
Suppose -32 = -20*k + 888. Let i(t) = 2*t**3 - 4*t**2 + 6*t - 6. Let w be i(5). Suppose -w = -2*b + k. Calculate the remainder when b is divided by 16.
14
Let b = 72 + -68. Suppose h = -b*x + 7, 0*h + h + 2*x - 13 = 0. Let q(k) = -k**2 + k + 75. Calculate the remainder when q(0) is divided by h.
18
Let l(z) = z**3 + 29*z**2 + 169*z + 161. What is the remainder when 310 is divided by l(-21)?
30
Let z(p) = 2*p**3 - p**2 + 6*p - 4. Let h = 724 + -697. What is the remainder when z(4) is divided by h?
24
Suppose -2 + 6 = 2*m. Let w = 106 + -96. Suppose m*x + c - 4 = -c, -w = -4*x - 2*c. What is the remainder when x is divided by 3?
0
Let l(r) = r**3 - 25*r**2 + 60*r - 288. Suppose m + i - 127 = 12, -5*m = 4*i - 690. Calculate the remainder when m is divided by l(23).
32
Suppose 0 = -0*n - 4*n - 8. Let p(m) = m**2 - 28*m - 9367. Calculate the remainder when n - 1 - (-203 - 1) is divided by p(-84).
37
Let j = -67 + 38. Calculate the remainder when -4 - (j + 1 + 7) is divided by 10.
7
Let l = -6024 + 6614. What is the remainder when 1771 is divided by l?
1
Suppose -94*g + 92*g = -12, -4*k + 4*g = -8592. What is the remainder when k is divided by 83?
79
Let k(c) = 196*c + 1842. Calculate the remainder when k(-6) is divided by 663.
3
Suppose 0 = -3*j - 3*w + 33, 5*j = -3*w + 7*w + 1. Calculate the remainder when 280 is divided by j.
0
Let q = -1584 - -1925. What is the remainder when q is divided by 52?
29
Suppose -1981 = -3*c - c - 5*v, c + v = 495. Suppose -4*x + c = 2*n, -2*x - 2*n + 242 = -0*n. Calculate the remainder when x is divided by 22.
16
Let y = -1904 + 1958. What is the remainder when 321 is divided by y?
51
Let v = -8 - -15. Suppose 3*l = -v + 76. Calculate the remainder when (1 + 42)/(4 - 3) is divided by l.
20
Suppose -4*p - 5708 - 5784 = -11664. Calculate the remainder when (-1 - 0)/(2/(-424)) is divided by p.
40
Suppose 0 = 41*g - 7475 - 3808 - 361. What is the remainder when g is divided by 139?
6
Suppose -4*m + 41 = r + 8, 5*r - 114 = -3*m. Let y = -469 - -475. Suppose -y*o - 4 = -5*o, 3*o - 12 = -3*g. Calculate the remainder when r is divided by g.
5
Let b(o) = -10*o**2 + 49*o - 21. Calculate the remainder when 227 is divided by b(3).
11
Suppose -4*a + n = -655, 4*n = -0*a - 2*a + 314. Let j = 216 - 203. What is the remainder when a is divided by j?
7
Let f = -18443 - -20207. Calculate the remainder when f is divided by 291.
18
Suppose 105*f = 184*f - 6952. What is the remainder when 2721 is divided by f?
81
Let w(p) = p**3 + 40*p**2 + 136*p - 78. What is the remainder when 369 is divided by w(-36)?
159
Let i be (4 - 3)*(0 + 1 + 100). Let d = i - -94. What is the remainder when d is divided by 7?
6
Suppose 2062 = 9*i + i - 2148. What is the remainder when 1280 is divided by i?
17
Suppose -15 - 20 = -7*s. Suppose -3 = l + f - 4, 4*f - 7 = -s*l. What is the remainder when 118*(l - 15/6) is divided by 15?
14
Let f(o) = 21*o**2 + 199*o + 54. Calculate the remainder when f(-10) is divided by 19.
12
Let z = -2104 - -2128. Calculate the remainder when 66 is divided by z.
18
Suppose -10*m - 5*f + 808 = -8*m, -3*f = m - 402. Calculate the remainder when m is divided by 6.
0
Let z = -772 + 831. Calculate the remainder when 1541 is divided by z.
7
Let k = -25 - -52. Let m = 255 - 205. Calculate the remainder when m is divided by k.
23
Suppose -5*s + 5*z + 90 = 0, -5*s - 38*z = -39*z - 90. Let w(p) = -8*p + 3*p + 28*p + 30*p. Calculate the remainder when w(2) is divided by s.
16
Let x(u) = 917*u + 23*u**2 - 918*u - u**3 + 25 - 9*u**2. Calculate the remainder when 128 is divided by x(14).
7
Let h(w) = 959*w - 735. Calculate the remainder when h(4) is divided by 135.
131
Let m(q) = -q**3 - 13 + 16*q + 0*q**2 + 4 + 4*q**2 - 13 + q**2. What is the remainder when 345 is divided by m(5)?
55
Let x(m) = 295*m - 13851. Suppose j - 2*r + 432 = 5*j, -541 = -5*j - 2*r. What is the remainder when j is divided by x(47)?
11
Let v = 15 + -13. Suppose -198 = -2*p - 2*q, 3*p - 4*p + 103 = v*q. Suppose 0*a = 13*a - 416. What is the remainder when p is divided by a?
31
Let m = -7898 + 7942. Calculate the remainder when 382 is divided by m.
30
Let o(b) = b**3 - 39*b**2 + b. Let l be o(39). Suppose -2*d = -5*p + 81, 0*d - 2*d = 3*p - l. What is the remainder when 44 is divided by p?
14
Let h(l) = 4*l**3 + 50*l**2 - 24*l - 35. What is the remainder when h(-5) is divided by 112?
51
Calculate the remainder when 8/(-18)*-1524 + 0 - 5/15 is divided by 98.
89
Suppose 0 = -2*n + 39 - 13. Suppose -5*q + 4 = -0*r + 3*r, 2*q - 3*r - 10 = 0. What is the remainder when 33 - q*(-24)/(-6) is divided by n?
12
Suppose 0 = -4*b + 4*r + 580, r = 2*b - 2*r - 286. Suppose -19 + 990 = 98*s - 2851. Calculate the remainder when b is divided by s.
32
Let n = 15 + 40. Let x(f) = -10*f**3 + 8*f**2 + 10*f - 2. Let l be x(-2). Calculate the remainder when n is divided by 30/l - (-44)/3.
10
Suppose 0*g - 3*g + 10 = 2*j, 0 = 4*j + 2*g - 12. Suppose -j*h - 3*h + 716 = 4*l, 289 = 2*h - l. What is the remainder when h is divided by 37?
33
What is the remainder when 76 is divided by 185 - 183 - (6 - 2)*-2?
6
Suppose 5*u = 4*n + 2197, 132 = 4*u + 5*n - 1642. What is the remainder when u is divided by 84/(-9)*10*171/(-1330)?
9
Let p be (1 + -8)*(-3 + (-6 - -2)). Let j = p - 38. Let b = 6 + 14. What is the remainder when b is divided by j?
9
Suppose 7331*w + 356000 = 7420*w. What is the remainder when w is divided by 89?
84
Suppose -1417 + 237 = -5*o. Let c(g) = -g**2 + 50*g - 124. What is the remainder when o is divided by c(46)?
56
Suppose 3*m + 4*g - 1738 = 0, -1114 = 5*m + g - 4005. Let o = m + -565. Calculate the remainder when 49 is divided by o.
10
Calculate the remainder when 127 - (10/(-65) - 378/(-91)) is divided by 63.
60
Suppose -9*d + d - 24*d + 82848 = 0. Calculate the remainder when d is divided by 162.
159
Suppose -3*q + 42*s - 38*s = -452, -4*q + 603 = -5*s. Let c(r) = -20*r - 2. Let t be c(5). Let x = q + t. What is the remainder when x is divided by 13?
11
Let b(y) = 49*y**3 - 2*y**2 + 47*y - 85. What is the remainder when b(2) is divided by 52?
29
Suppose -164*d = 61*d - 186750. What is the remainder when d is divided by 27?
20
Suppose 27*p = -69*p + 81760 + 53312. Calculate the remainder when 1416 is divided by p.
9
Suppose 5*l = -0 + 20. Suppose -7*u + 4 = -6*u - 3*c, l*u - 56 = 4*c. Let k(y) = y - 4. Calculate the remainder when 89 is divided by k(u).
14
Let s(v) = v**2 + 2*v - 1. Suppose -4*r - 108 = -96. What is the remainder when (-15 - -2)*(r - -1) is divided by s(2)?
5
Suppose 4*l = q - 16, 5*q - 2 = -5*l + 3. Suppose -180 = -3*o + q*r + 19, 5*r = 3*o - 197. What is the remainder when o is divided by 28?
13
Let n(o) = o**3 - 7*o**2 - 17*o - 5. Let x be n(10). Let v = -104 + x. Suppose 2*r - 9 = 7. Calculate the remainder when v is divided by r.
5
What is the remainder when 670 is divided by (2 - 2/3)/(40/120) + 130?
0
Let m be (6/5)/(81/270). Suppose 0 = 2*l - 5*p - 330, 4*l = m*p - 88 + 736. Calculate the remainder when l is divided by 18.
16
Suppose 10*p - 864 + 10 = -4*p. What is the remainder when p is divided by 33?
28
Suppose -10*r + 405 = -r. Calculate the remainder when 191 is divided by r.
11
Let n(o) = -17*o**3 - 2*o**2 - 4*o - 3. Let q = -8 - -6. Calculate the remainder when n(q) 