06 = -v. What is the remainder when a is divided by 13?
11
Let p(s) = s**3 + s**2 - 9*s - 4. Let z be p(-3). Suppose 0 = 2*m + 5*y - 47, 4*y - z = -y. Calculate the remainder when m is divided by 12.
9
Suppose -14 - 188 = -h. Suppose -b - h = -3*b. Let i = b + -49. Calculate the remainder when i is divided by 27.
25
Suppose -6*w - 5*n = -221 - 132, -2*n + 116 = 2*w. What is the remainder when 384 is divided by w?
6
Suppose -16*x = -59 - 5. Suppose 0*h + x*h - 42 = -2*k, -h + 3 = -k. What is the remainder when (0 - -6)/(4/26) is divided by h?
7
Suppose 8*c + 10*c + 52*c - 3*c = 0. Let n(b) = 26 + 6*b + 4*b - 2*b. What is the remainder when n(c) is divided by 10?
6
Let r = -1333 - -2254. Calculate the remainder when r is divided by 117.
102
Let k(x) = -x**2 + 8*x - 4. Let h be k(7). Suppose 3*o + 270 = 5*a, -3*a + h*o + 168 - 6 = 0. Let i = a + -48. Calculate the remainder when 11 is divided by i.
5
Suppose -79*x + 8545 + 18357 = -3908. Calculate the remainder when x is divided by 22.
16
Suppose z + 10 = -4*t + 30, 0 = -5*z + 2*t + 100. What is the remainder when 354 is divided by z?
14
Suppose 30*w = 204 + 66. Calculate the remainder when 764 is divided by w.
8
Suppose 258*k - 261*k - 24 = 0, -5*j = -4*k - 25907. What is the remainder when j is divided by 259?
254
Suppose -7*z = 112 - 147. Suppose 2*c + m = 29, z*c = -5*m + 54 + 11. Calculate the remainder when c is divided by 5/(-1)*(-78)/65.
4
Let k(r) = 159*r - 2930. Calculate the remainder when 457 is divided by k(21).
48
Suppose -6 = 5*b - 46. What is the remainder when 55 is divided by b?
7
Suppose 240*x = 66*x + 81204 + 165876. Calculate the remainder when 1427 is divided by x.
7
Let l = 17395 + -15375. Calculate the remainder when l is divided by 225.
220
Suppose 24 = 12*m - 48. What is the remainder when (m - 3 - -3)/((-9)/(-114)) is divided by 27?
22
Let k(t) = -t**3 - 4*t**2 - 6*t - 10. Let d = 2 + 22. Suppose d = -5*q + 4. Calculate the remainder when k(q) is divided by 5.
4
Suppose 0 = 2*q + 12*u - 161 - 41, -290 = -2*q - u. Calculate the remainder when q is divided by 10/(1/5 + 0).
49
Suppose -l - 43 = 19. Let a = 286 - l. Suppose -3*w = 3*w - a. What is the remainder when w is divided by 15?
13
Suppose -2479 + 835 = -12*h. Suppose -3*c - 26 = -h. Calculate the remainder when 146 is divided by c.
35
Suppose 3*u - 18 - 120 = 0. Let k(l) = -2*l**2 - 963*l - 6635. What is the remainder when u is divided by k(-7)?
6
Suppose 2*d - 106 = -4*u, 9*u = 10*u + 2*d - 34. Suppose u*t - 663 = 753. What is the remainder when 117 is divided by t?
58
Suppose 0 = -496*k + 591*k - 312360. What is the remainder when k is divided by 23?
22
Let y(f) = -22 - 2*f**2 + 8 - 15*f - 4. Let i be y(-5). Suppose -c = -1 - i. Calculate the remainder when c is divided by 3.
2
Suppose 2*b - 113 = 3*s, 3*b + 3*s - 126 = 81. Suppose 0 = -4*f - 5*q + 106 + 30, 3*f - 3*q - 102 = 0. What is the remainder when b is divided by f?
30
Suppose -4*s + 5*s = 4. Let a(m) = 4*m - 23 + 3*m**2 - s*m**2 + 2*m**2 + 9*m. Calculate the remainder when a(-21) is divided by 37.
34
Calculate the remainder when ((-105)/25)/(-7) - 57448/(-20) is divided by 125.
123
Let z = -71 + 77. Suppose z*t + 2*t = 520. Let n = 83 - t. Calculate the remainder when 51 is divided by n.
15
Let t be (-2)/((-3 - -2) + 0). Suppose t*c - 704 = -2*c. Let u = c - 108. What is the remainder when u is divided by 24?
20
Let p(i) = -9*i**3 - i**2 + 2*i + 1. Let j(v) = 10*v**2 + 521*v + 949. Calculate the remainder when j(-51) is divided by p(-2).
63
Let u = -5942 - -6732. What is the remainder when u is divided by 314?
162
Suppose -3*y + 55*i + 33 = 50*i, y - 4*i - 4 = 0. What is the remainder when 117 is divided by y?
5
Suppose -34*c + 27*c + 14 = 0. Suppose 4*u - 5*r - 21 = c*u, 0 = 3*u - 5*r - 34. Calculate the remainder when 75 is divided by u.
10
Let f(g) = g**3 + 11*g**2 + 5*g - 90. What is the remainder when f(13) is divided by 28?
27
Let h = -49 + 492. Let d = -174 + h. What is the remainder when d is divided by 15?
14
Suppose -4*o + 356 = -0*o. Let n be (-28)/21*30/(-8). Suppose 2*i - n*w = 0, 0*i - 3*i - 5*w + 50 = 0. What is the remainder when o is divided by i?
9
Let q(p) = 426*p - 5472. Calculate the remainder when 1232 is divided by q(13).
44
Let n(c) = 2*c**3 - 14*c**2 + 36*c - 244. What is the remainder when n(9) is divided by 81?
80
Suppose 2*v = 20*v - 216 - 360. Calculate the remainder when 126 is divided by v.
30
Let l(u) = u**2 + 7*u - 6. Let z be l(-8). Suppose 2*h - k - 4 = 0, 2*h + 8 = -3*k - z*k. What is the remainder when 53 is divided by h/4 - (-590)/40?
8
Suppose 0 = 4*t - y - 1046, -5*t + 5*y + 307 = -1008. Calculate the remainder when 110 is divided by (-12)/18*t/(-6).
23
Suppose 0 = 2*w + 2*n - 0 - 2, 2*n = 4*w - 16. Suppose -h - 5*u + 27 = 0, -w*h - u - 29 + 82 = 0. Calculate the remainder when 63 is divided by h.
12
Let v(q) = -5*q + 295. Let h(j) = j**3 - 8*j**2 - 3*j - 13. What is the remainder when v(41) is divided by h(9)?
8
Let y = 22001 + -21224. What is the remainder when 780 is divided by y?
3
Let j(p) = -p**3 + 17*p**2 - 34*p + 60. Calculate the remainder when j(13) is divided by 89.
27
Let c(u) = -28*u + 173. Let s be c(6). Suppose -4*x = -5*n - 125, 5*n + 144 + 11 = s*x. What is the remainder when 100 is divided by x?
10
Suppose 4*u - 117 = -45. Let d be -103 - (-5 + (-2 - -3)). Let s = 167 + d. What is the remainder when s is divided by u?
14
Let u(l) = 5*l**3 - 2*l**2 + 2*l - 1. Let b be u(1). Calculate the remainder when b/(-10) + 13/(650/4270) is divided by 29.
27
Let z = -55 + 14. Let p = -27 - z. Suppose -10 = -4*l + p. Calculate the remainder when 11 is divided by l.
5
Let q = -6 + 29. Suppose -3*v = q - 206. Calculate the remainder when 426 is divided by v.
60
Suppose 15*m - 99 = 86 - 80. Calculate the remainder when 69 is divided by m.
6
Suppose 12*a = 17*a + 550. Let f = -114 - a. What is the remainder when 14*(-2)/f - -5 is divided by 8?
4
Let n(r) = -2*r**3 + 17*r**2 + 29*r + 12. Let h be n(10). Suppose -s - 2*v - 2*v + 13 = 0, -h*s + 26 = -3*v. Calculate the remainder when 32 is divided by s.
6
What is the remainder when (((-2)/(-3))/(-1))/(1444/(-461358)) is divided by 95?
23
Let q be (4 - 0/(-2))*8710/(-52). Let d = 729 + q. Calculate the remainder when d is divided by 20.
19
Suppose 0 = -2*m - 18 + 6. Let o be 273 - 5/(10/m). Suppose 7*h - 11*h = -o. What is the remainder when h is divided by 8?
5
Suppose 0 = 27*x + 2311 - 6631. Calculate the remainder when x is divided by 89.
71
Let r = -271 + 273. Calculate the remainder when 36 is divided by ((-4)/(-8)*-2)/(r/(-2)).
0
Suppose -i - 51 = -255. Let w = i - 121. Calculate the remainder when w is divided by (6/12)/(1/34).
15
Let p = 44 - 1. Calculate the remainder when 91/(-14)*270/(-39) is divided by p.
2
Suppose -214 = -7*b + 318. Let q = b + -69. Calculate the remainder when 23 is divided by q.
2
Suppose -2*r + 8 = -5*s, 12 = -4*s + 8*r - 5*r. What is the remainder when 476 is divided by ((-159)/(-18))/1*(6 + s)?
52
Suppose -i + 11 = -6. Let a(z) be the third derivative of -7*z**4/24 + z**3/2 + z**2. What is the remainder when a(-9) is divided by i?
15
Suppose -15 - 1 = -2*a. Suppose -3*x = -a*x - 20. What is the remainder when ((-155)/(-10))/((-1)/x) is divided by 22?
18
What is the remainder when (2 - 988/(-15)) + (29 - (-9526)/(-330)) is divided by 63?
5
Let b(c) = -3*c**2 + 18*c + 64. Let z be b(-11). Let v = -331 - z. What is the remainder when v is divided by 12?
10
Let m(y) = -5*y**2 + 37*y + 84 - 46 - 29. Calculate the remainder when m(6) is divided by 27*5/(30/4).
15
Suppose -4*i = -p - 246, -2*i + 1248 = -5*p - 0*p. Let c = -115 - p. Suppose 0 = 7*b - c - 243. What is the remainder when b is divided by 14?
12
Let d(v) = v - 7. Let a be d(8). Let j be 14/a - (2 - -1). Suppose -3*b - j + 242 = 0. What is the remainder when b is divided by 13?
12
Suppose 4*i - 970 = 518. Suppose -i = 5*x - 11*x. Let b = 69 - x. Calculate the remainder when 47 is divided by b.
5
Let k = 134 + -129. Suppose -c + 3*u + 54 = k*u, -u = -3. What is the remainder when c is divided by 17?
14
Let k be (4/(-6))/(14/8064). Let a = k - -391. What is the remainder when 67 is divided by a?
4
Suppose 38*y = 40*y - 4*z - 336, -567 = -3*y - 3*z. What is the remainder when 128