3932 = -19776 - 29980. What is the remainder when n is divided by 12?
8
Suppose -237*s + 4494 + 7655 = 1484. What is the remainder when 237 is divided by s?
12
Suppose -21*m + 388 = -557. Calculate the remainder when -3*(12/15 + (-246)/m) is divided by 6.
2
Let a(g) = g**3 + 10*g**2 + 20*g + 31. Let f be a(-8). Let n(i) = 7*i**2 + 2*i + 1. Calculate the remainder when 6 - f/(-4 - 63/(-15)) is divided by n(-1).
5
Suppose 5*j = 2*r - 2263, 30*r - 32*r + 2*j = -2266. What is the remainder when r is divided by 28?
14
Let p(g) = 3*g**2 + 3*g + 20. Suppose 27*j + 180 = 45. What is the remainder when p(j) is divided by 23?
11
Suppose -13289 = 2743*j - 2715*j - 185489. Calculate the remainder when j is divided by 110.
100
Suppose 128 = 4*w + 2*r, 2*r = -0*r - 8. Let q = 4 + w. What is the remainder when q is divided by 8?
6
Let r(l) = l + 1. Let y(z) = -7*z + 1. Let h(c) = 6*r(c) + y(c). What is the remainder when 85 is divided by h(-11)?
13
Suppose -3*b = -5*j + 13, 2*j + 3*j + 2*b = 33. What is the remainder when ((-2160)/48)/((-18)/10) is divided by j?
0
Let y(i) = -i**3 + 10*i**2 - 23*i + 15. Let m be y(7). Calculate the remainder when 3 is divided by (m + 3*1)*(-90)/(-180).
1
Let o = -1 + 10. Suppose -4 = -2*w + 3*p, -w + 11 = 3*p - o. What is the remainder when 28 is divided by w?
4
Let a(v) = 51*v**2 + 6*v - 2. Let g(q) = 205*q**2 + 24*q - 11. Let o(s) = 9*a(s) - 2*g(s). Calculate the remainder when 178 is divided by o(-1).
37
Let t = -165 - -231. Let m(y) = 5*y**2 + 3*y - 31. Suppose -5*i - 109 = -74. Calculate the remainder when m(i) is divided by t.
61
Let c = 9138 - 9126. What is the remainder when 5075 is divided by c?
11
Suppose -4*k + 42 = -38. Suppose -255 = -3*a - 3*z, 6*a - 291 = -5*z + 211. Calculate the remainder when a is divided by k.
17
What is the remainder when 378/(-36)*(3 + 154/(-2)) is divided by 26?
23
Let s(w) = -w**2 - 26*w - 69. Let n be s(-23). Suppose n = -325*f + 331*f - 96. Calculate the remainder when 156 is divided by f.
12
Let a = -1280 + 1865. Calculate the remainder when a is divided by 193.
6
Let p = -1943 - -1987. What is the remainder when (484 - 0) + (-3 - 0) is divided by p?
41
Suppose v - 200 = 53. What is the remainder when v is divided by 55/(-22) - (-133)/2?
61
Suppose -4*i = 2*g + 10 - 8, 5*g + 5 = -2*i. Suppose -8*r + 0*r + 136 = i. What is the remainder when 65 is divided by r?
14
Let u(g) = -g + 5. Let a be u(2). Let j be ((-432)/9)/(a/(-8)). Suppose -4*f - i = -124, -f - 2*i = 3*f - j. Calculate the remainder when f is divided by 17.
13
Let i(q) = 35*q - 44. Let r be i(5). Suppose -r*o + 128*o = -33. Calculate the remainder when 23 is divided by o.
1
Let c = 916 - 896. Calculate the remainder when 8/c + (-10)/25 + 322 is divided by 27.
25
Let s(r) = r + 975. What is the remainder when s(23) is divided by 100?
98
What is the remainder when 202 is divided by (3 - (-197)/5) + (-6)/(-10)?
30
Let r(s) = 839*s**2 + 5*s - 6. Let l(c) = 279*c**2 + 2*c - 2. Let b(p) = 7*l(p) - 2*r(p). Calculate the remainder when b(1) is divided by 94.
89
Let r(i) = i**2 + 7*i - 8. Let b be r(-7). Let w(f) = -f**3 - 8*f**2 + 9*f + 2. Let p be w(b). What is the remainder when (9*2)/((-20)/p) is divided by 13?
11
Suppose -3*t + 309 = 81. Suppose -t*x + 3120 = -56*x. What is the remainder when x is divided by 55?
46
Let s be (-4)/5 + -14*2/(-10). Suppose s*v - 3164 = -12*v. Calculate the remainder when v is divided by 46.
42
Suppose 4 = 2*q - 4. Suppose 0 = 4*p + 3*n - 54, -2*n - 45 = -q*p + 19. What is the remainder when 69*5/p + 4 is divided by 7?
6
Suppose 20*h - 2044 = -u + 15*h, 3*u = -5*h + 6142. What is the remainder when u is divided by 137?
131
Suppose 1975*b - 1999*b = -1080. Calculate the remainder when 171 is divided by b.
36
Suppose 0 = -4*n + o + o + 158, -73 = -2*n - o. Suppose 0 = -g + 198 - 8. Let s = g - 175. What is the remainder when n is divided by s?
8
Let a = -1227 - -1244. Let s = 176 - -42. Calculate the remainder when s is divided by a.
14
Suppose 3*m = -5*b + 38, m - 6 = 2*b + 3*b. What is the remainder when 21 is divided by m?
10
What is the remainder when 110 is divided by (1274/(-13))/(-10 + 8)?
12
Let l(y) = -2*y - 12. Let h be l(-8). Suppose 0 = 97*z - 30*z - 45895. Suppose 205 = -h*a + z. Calculate the remainder when a is divided by 41.
38
Suppose -266*x + 258*x + 431 = -281. What is the remainder when 312 is divided by x?
45
Let q be (15/(-10))/(0 - 1/22). Let w = q + 178. Suppose 52 = 6*y - 206. What is the remainder when w is divided by y?
39
Suppose 2*s + 3*z - 5 = 4*s, z + 10 = 3*s. Suppose 2*q + 3*i = 38, 5*q - 137 = s*i - 2*i. Calculate the remainder when 45 is divided by q.
20
Suppose 0 = -s + 41*u - 36*u + 38, -5*s - 2*u = -298. Calculate the remainder when 333 is divided by s.
43
Suppose u = 2*u - 19. Suppose 450 = -17*v + u*v. Suppose -v = 4*r - 13*r. Calculate the remainder when r is divided by 14.
11
Let l = 173 - 172. What is the remainder when 167/(l/(2/(3 + -1))) is divided by 34?
31
Let n(s) = 22*s - 2. Suppose -6*o = -15*o - 18. What is the remainder when n(5) is divided by ((-4 - (-20)/5) + o)*-8?
12
Let d = 255 + -132. Let l = d + -82. Calculate the remainder when 160 is divided by l.
37
Let a = -326 - -465. Let x(m) = 12*m**3 - 829*m**2 + 69*m + 14. What is the remainder when a is divided by x(69)?
13
Suppose 0 = 3*o - o - 32. Let u = 11 - 7. What is the remainder when o is divided by u/6*(-99)/(-6)?
5
Let x(d) be the first derivative of -41*d**2/2 - 79*d - 60. What is the remainder when x(-6) is divided by 17?
14
Let x(u) = 32*u**2 - 2. Let r = 4404 + -3957. Calculate the remainder when r is divided by x(1).
27
Let d(g) = g**2 + 10*g - 114. Let f be d(7). Let k = -313 - -631. Suppose -f*c + 231 = 2*a, -3*c + k = 3*a - 24. What is the remainder when a is divided by 19?
18
Let j(w) = w**2 - 21*w - 35. Let i be j(24). Suppose i*n = 20*n + 2023. What is the remainder when n is divided by 12?
11
Suppose -4*c + 28 = 4*q, -2*q + 377 - 368 = -3*c. Let v(x) be the second derivative of -41*x**3/6 - 2*x. Calculate the remainder when v(-1) is divided by q.
5
Let f = -48 + 267. Calculate the remainder when f is divided by 143.
76
Calculate the remainder when 683 is divided by (343278/45)/26 - (-3)/5.
95
Let p = 50 + -26. Let a(u) = -28*u + 57. Let s be a(2). Let n(v) = 64*v**2 + 7*v - 5. Calculate the remainder when n(s) is divided by p.
18
Let s = 2520 + -2139. Calculate the remainder when s is divided by 55.
51
Calculate the remainder when 54 is divided by (4/12*-3)/(11/1100*-5).
14
Let n = 20142 - 19538. Calculate the remainder when 1824 is divided by n.
12
Suppose 93*d = 97*d + 4*v - 920, 5*d - 12*v = 1167. Calculate the remainder when 1145 is divided by d.
221
Suppose -z = -9 + 7. Let b = 77 - 74. Suppose -b + 59 = 14*p. Calculate the remainder when p is divided by z.
0
Let n = -26 - -43. Suppose -2 = -4*f - 18. Calculate the remainder when (-1)/4 + f/16*-397 is divided by n.
14
What is the remainder when ((-110)/44 + (-17078)/20)/((-5)/25) is divided by 84?
82
Suppose y + 9*y - 90 = 0. Let c(u) = -u**2 + 7*u + 5. Let x be c(y). Let m = 33 - x. Calculate the remainder when m is divided by 12.
10
Let i = -20 + 22. Suppose 0 = -i*r - j - 10, 4*j + 7 + 9 = 0. Let u(b) = -2*b**3 - 5*b**2 - 2*b + 3. Calculate the remainder when 70 is divided by u(r).
16
Suppose -2 = 5*y - 3*d, d + 2*d - 12 = 0. Suppose y*l + z = -53, -l - 33 = l - 3*z. Calculate the remainder when (-2)/12 + -4 + (-700)/l is divided by 9.
7
Suppose -3*o + 5*v = -71, 4*v = -4*o + 105 + 11. Suppose -y = -5*p + 254, -4*p + 182 = -y - 21. What is the remainder when p is divided by o?
24
Let t(p) = -209*p**3 + 2*p**2 - 7*p - 7. Calculate the remainder when t(-1) is divided by 115.
96
Suppose -14*i = -6*i + 3*z - 1055, 3*i - 2*z - 380 = 0. What is the remainder when 377 is divided by i?
117
Suppose 0 = -5*m - 12*m + 714. Suppose 4*w - m*w = -760. What is the remainder when 51 is divided by w?
11
Let i(u) = 3*u - 15. Let q be 1254/76*(1 - 2/6). Let y = -129 + 196. Calculate the remainder when y is divided by i(q).
13
Suppose 0 = -6*y + 37*y - 14477. Let t = 496 - y. Calculate the remainder when 137 is divided by t.
21
Let u(h) be the first derivative of h**3/3 + h**2/2 + 6*h - 1. Suppose 0 = 110*k + 80*k + 380. What is th