. What is the remainder when 497 is divided by a?
11
Suppose -o - 2*o + 66 = 4*c, 82 = 5*c + 4*o. Calculate the remainder when (0 + (-5)/10)*(-282)/(6/2) is divided by c.
11
Let y = 2 + 0. Let c = -6398 + 6399. What is the remainder when y is divided by c?
0
Suppose -5*a + 3*m = -129, 0 = -2*a - 2*a - m + 93. Let x be (-832)/(-18) + a/(-108). Suppose -2*f + x = -f. Calculate the remainder when f is divided by 13.
7
Let a(f) = 2*f**2 - 6*f - 3. Suppose -25 = -l - 2*u, 2*l + 2*u + 172 - 236 = 0. What is the remainder when a(8) is divided by l?
38
Suppose -6*c + 30*c = -92*c + 66816. What is the remainder when c is divided by 82?
2
Suppose -3*h - 4*v + 32 = -3*v, -4*h + 36 = 3*v. Let c = -1252 + 1298. Calculate the remainder when c is divided by 2 + (-4 - -2) + h.
10
Let i(z) = z**3 - 62*z**2 - 31*z - 1634. Calculate the remainder when 1174 is divided by i(63).
28
Suppose -5*s - m = -517, 196 = 2*s - 5*m + 9*m. What is the remainder when 190 is divided by s?
86
Let u(a) = -11*a - 8. Let j(n) = -2*n**2 + 5*n + 1. Let z be j(3). Let x(v) = 3*v + 3. Let m be x(z). Calculate the remainder when 99 is divided by u(m).
24
Let z(l) = 10*l**3 - 3*l**2 + 2*l + 2. Let b be z(2). Let y = 38 - b. Let g = y - -59. What is the remainder when 113 is divided by g?
21
Let u = 19987 - 19900. What is the remainder when 242 is divided by u?
68
Let o(c) = -c**3 + 9*c**2 + 10*c + 27. Calculate the remainder when 187 is divided by o(10).
25
Suppose -4*d + 4*r = -72, -4*r = -d + 15 + 18. What is the remainder when d is divided by (14 + -11)*68/51?
1
Let v = -14131 - -14095. Suppose 0*r = m + r - 1, -4*r + 20 = 0. What is the remainder when 5 is divided by (-3*(-8)/v)/(m/30)?
0
Suppose -32*y + 9*y = -46. Calculate the remainder when 837/y - (-1)/(-2) is divided by 42.
40
Let k(c) = c**3 - 72*c**2 - 150*c + 183. Suppose 161 - 633 = -4*s. What is the remainder when s is divided by k(74)?
13
Let h be (9 - 6)*2/(-3). Let v(g) = -7*g**3 - g. Suppose a - 4*q - 3 = -4, -5*q + 50 = 2*a. Calculate the remainder when v(h) is divided by a.
13
Let d(r) = -23*r + 46. Let p be d(-9). Let y = p + -242. What is the remainder when y is divided by 10?
1
Let f = -30773 - -30886. What is the remainder when f is divided by ((-18)/(-8))/((-2)/(-40))?
23
Let y(k) = 5*k**3 + k**2 + 2*k. Let l be (-1)/((3/(-2))/(7 - 1)). Suppose -5*x = -l*x - 13. Calculate the remainder when y(2) is divided by x.
9
Let i(q) = -5*q**3 - 3*q**2 + 22*q - 13. Calculate the remainder when i(-5) is divided by 28.
7
Let v(p) = 66*p**2 - 6*p - 2. Let r be v(-2). What is the remainder when 80 is divided by r/10 - 38/95?
26
Let w be (-4)/(-22) - 130640/506. Let f = w - -276. Calculate the remainder when f is divided by 5.
3
Suppose -350 = -q + c, 3*q + 45*c = 42*c + 1056. What is the remainder when q is divided by 3?
0
Suppose o + 2*z = 35, 5*z = -279*o + 275*o + 116. Calculate the remainder when 14077 is divided by o.
17
Suppose 2*s = -1045 - 81. Let t = s + 761. Calculate the remainder when t is divided by 34.
28
Let q(w) = -537*w - 3085. What is the remainder when 260 is divided by q(-6)?
123
Suppose 0 = -2*v - 7846 + 8056. What is the remainder when 419 is divided by v?
104
Let j be 7 - (13 - 4) - (0 + 178). Let f = j + 195. Calculate the remainder when 299 is divided by f.
14
Calculate the remainder when (765/6)/(-5 - 115/(-20)) is divided by 85.
0
Calculate the remainder when (548/3)/((-68)/(-51)) + -1 is divided by 128.
8
Suppose 2*p - 1459 + 83 = -w, 0 = 2*w - p - 2762. Calculate the remainder when w is divided by 9.
3
Let o = -1 + 21. Let k(v) = -4*v**2 + 31*v + 13. Let y(f) = 10*f + 6. Let i be y(0). Calculate the remainder when k(i) is divided by o.
15
Suppose -29*n + 36*n = 2282. What is the remainder when 1006 is divided by n?
28
Suppose 0*v = -102*v + 4597 + 27023. What is the remainder when v is divided by 10?
0
Suppose 5*l + 5*w = 65, 2*w = -w - 6. What is the remainder when (-2 + l/9)*(-4 - 518) is divided by 44?
42
Suppose n - 327 = 7*l - 11*l, -l + 5*n + 66 = 0. Let b = l + -72. Calculate the remainder when ((-2)/6)/((-3)/225) is divided by b.
7
Let x be 0/3*(-3)/(-6). Suppose 3*m + x*j + 2*j = 649, -3*m = -4*j - 637. Calculate the remainder when m is divided by 55.
50
Suppose 0 = s + 4*s + 595. Let r = s + 135. Suppose 5*d - 42 = 68. Calculate the remainder when d is divided by r.
6
Suppose 5*d - 10*d = f - 12, -2*f - 5*d + 14 = 0. Suppose 0 = 5*o + 2*p - 250, -o - 2*p = f*o - 150. Calculate the remainder when 198 is divided by o.
48
Suppose 462 = 3*c - 3*v, -5*v = -c + 2*c - 130. Let o = c - 54. Suppose 13*f = o - 5. What is the remainder when 19 is divided by f?
5
Let c(a) = 8*a - 164. Let g(f) = 2*f - 55. Let d(w) = 2*c(w) - 7*g(w). What is the remainder when d(-5) is divided by 24?
23
Suppose 0 = -3*k - 5*p + 5986, 24*p - 25*p - 41938 = -21*k. What is the remainder when k is divided by 27?
26
Let z(l) = l**2 - 20. Let s(j) = j**3 + 6*j**2 + j - 15. Let n be s(-5). Let c(k) = k + 22. Calculate the remainder when c(-11) is divided by z(n).
1
Suppose -4*k - 6 - 120 = -2*b, 5*k = -5*b + 345. What is the remainder when 776 is divided by b?
39
What is the remainder when (-6)/26 + 315224/169 is divided by 170?
165
Suppose -18*l = -3*l - 315. Let v = 28 + -22. Suppose -v*p + 744 = 6*p. Calculate the remainder when p is divided by l.
20
Let n be (4 + (3 - -71))/(-1). Let f = n + 83. Suppose 3*v + 91 = 4*p, -v = -2*p - f*v + 18. Calculate the remainder when 111 is divided by p.
16
Let i = 4366 + -4358. What is the remainder when 21 - (1 + 4/(-2)) is divided by i?
6
Suppose -h - 8 + 0 = -3*c, 5*h + 10 = 0. Let t be 33/6 - 3/c. Suppose t = s, -2*k - 3*s + 90 = s. What is the remainder when k is divided by 19?
18
Let a(i) = 5*i**2 - 33*i + 201. Calculate the remainder when a(14) is divided by 348.
23
Let d(g) = 3 - 432*g + 428*g + 1 - g**2. Let v be d(-3). Calculate the remainder when 54 is divided by ((-25)/5 + v)*22/4.
10
Let s = -145 - -466. What is the remainder when s is divided by 17?
15
Let v(f) = f**2 - 157*f - 2707. Calculate the remainder when 449 is divided by v(-18).
6
Let x be 3/2 - 13/2. Let t be 3 + 4 - (-3 - x). Let p(u) = u**2 - 3*u + 5. What is the remainder when 59 is divided by p(t)?
14
Let t = -1011 - -1107. Calculate the remainder when t is divided by 22.
8
Suppose 5*o = -4*g + 10 + 10, g + 4 = o. Suppose 2*f - 19 + 15 = g. Calculate the remainder when 32/(f/(-8) - (-5)/4) is divided by 5.
2
Suppose -3347*h + 3352*h = 295. Calculate the remainder when 60 is divided by h.
1
Suppose -106*i - 3 = -107*i. Suppose 3*o = 3, n - 28 = -4*n - i*o. What is the remainder when 15 is divided by n?
0
Suppose 3*g + n = 921, -115*g + 2*n = -119*g + 1230. Calculate the remainder when g is divided by 100.
6
Suppose -16*v - 160 - 736 = 0. Let u = v + 112. Calculate the remainder when u is divided by 43.
13
Suppose 0 = -4*q + 4 + 140. Suppose -34*g + 144 + 26 = 0. Suppose 114 = g*c + 3*a, 2*c + 0*a = 2*a + q. Calculate the remainder when 103 is divided by c.
19
Suppose 5*q + h - 67 = 102, 4*q + h - 135 = 0. What is the remainder when 251 is divided by q?
13
Let l be (2/3)/((-3)/(-9)). Suppose -4*g + 10 = -m, -3*m - 22*g + 23*g = -14. Calculate the remainder when (m/18*l)/(4/306) is divided by 4.
3
Suppose -2*l + 4*q = -8, 4*l + 3*q - 7*q - 12 = 0. Suppose 7 = l*o - 1. Suppose -5*z = -o*z - 32. What is the remainder when z is divided by 17?
15
Calculate the remainder when ((23136/40)/(-3))/(5/(0 + -25)) is divided by 121.
117
Suppose 4*v + 125 = 185. Let z(k) = -k**3 + 4*k**2 + 6*k. Let b be z(5). What is the remainder when v is divided by (b - -3)/(2/1)?
3
Let x be (-2)/(-3) + (-8)/(-6). Let g be (-7720)/(-70) + x/(-7). Let o = g - 74. What is the remainder when 68 is divided by o?
32
Let p = 26 - 32. What is the remainder when 21 is divided by 20/(-4 - p) - -3?
8
Let m be (-50 - -29)/(14/(-12)). Suppose 26*n = m*n + 160. What is the remainder when 79 is divided by n?
19
Let c = 12 + -8. Let i be 30/4*(10 + 140/(-15)). Suppose 3*s = i*y - 78, 0 = 2*y - 4*y - 4*s + 52. Calculate the remainder when y is divided by c.
2
Calculate the remainder when 1380 is divided by (161/20 - (-25)/125)*(-12)/(-9).
5
Calculate the remainder when 937 is divided by (-21 + 17 - 9)*-24.
1
Let z(l) = l**2 + 7*l + 12. Let q be z(