Let g = q + -575. Calculate the remainder when g is divided by 23.
18
Suppose 0 = h + 79 - 29. What is the remainder when 75/h*116/(-6) is divided by ((-44)/16 + 4)/((-1)/(-8))?
9
Let g be (-8)/14 + 22/28*2. Calculate the remainder when 29 is divided by g/((-38)/(-12) - 3).
5
Suppose 382*b - 380*b - 682 = 0. Calculate the remainder when 893 is divided by b.
211
Suppose 0 = 4*k - 8, -60*k + 64*k = 3*p - 106. Suppose 40*r = p*r + 154. Calculate the remainder when r is divided by 3.
2
Suppose 0 = -3*x - 5*u + 412, 5*x = 2*u - u + 640. Let j = -120 + x. Calculate the remainder when 22 is divided by j.
4
Let o = 2497 + -2478. Let f(l) = 261*l**2 - 2*l + 1. Calculate the remainder when f(-1) is divided by o.
17
Suppose 21*j + 297 + 235 = 59*j. What is the remainder when 586 is divided by j?
12
Suppose 215 = 2*p + v, -74*v + 76*v = -3*p + 324. Calculate the remainder when p is divided by 98.
8
Let t be 1 - (-7 + 6 - 3). Suppose r - 152 = 2*v - 4*v, t*r + 5*v = 785. What is the remainder when r is divided by 15?
12
Suppose n - 2*n + 903 = 2*q, 0 = 3*n + q - 2724. Suppose -16661 = -351*y + 8252 - 8065. Calculate the remainder when n is divided by y.
45
Suppose -132*g + 231*g = 11484. What is the remainder when g is divided by 50?
16
Suppose -3*a + 4*b = -59, 4*b + 3 = -5. Let p(r) = 2*r**2 - 23*r + 39. Let u = 419 - 409. What is the remainder when a is divided by p(u)?
8
Let n be 0/(-3*4/(-6)). Suppose n = -d - d + 204. Let b = 21098 - 21077. What is the remainder when d is divided by b?
18
Let r = 19 + -15. Suppose -5*z - 5*c + 2*c + 106 = 0, 2*z + 3*c - 37 = 0. Suppose -z*j - 30 = -25*j. What is the remainder when j is divided by r?
3
What is the remainder when 7483 + 131 - (-4 - -3) is divided by 16?
15
Let t = 672 + -625. Let d = t + -20. Calculate the remainder when 214 is divided by d.
25
Let y(j) = 2*j**3 - 5*j**2 + 4*j - 6. Let h = -5 - -9. Suppose -o + t - 1 + 14 = 0, -o - t = -17. Calculate the remainder when y(h) is divided by o.
13
Suppose 152 = 5*m - 18. Suppose -7*i = 81*i + 3917 - 14301. Calculate the remainder when i is divided by m.
16
What is the remainder when 0*(-11)/33 - -257 is divided by 50?
7
Suppose 0*k = 3*k - 4*s, -18 = -3*k - 2*s. Suppose k*c - 16 = 0, 0*f - 2476 = -4*f + 3*c. What is the remainder when f is divided by 24?
22
Let i(v) = 59*v - 1463. Calculate the remainder when 3597 is divided by i(25).
9
Let p = -21745 - -21750. What is the remainder when 1*(1 + 11*6) is divided by p?
2
Suppose 5*y = -3*b + 53, -4*y + 2*b = 6*b - 44. What is the remainder when 927 is divided by y?
7
Let j(y) = y**2 + 26*y + 66. Let w be j(-23). Let f(i) = -27*i + 25. Let p(t) = -t**3 + 8*t**2 - 9*t + 9. Calculate the remainder when f(w) is divided by p(6).
25
Let n be (-24)/84 - 138/(-42). Suppose -2*f + 258 = -4*m, -n*f - 37*m + 35*m + 379 = 0. What is the remainder when f is divided by 22?
17
Suppose -262 = -3*r + s, 2*r + 98 = 3*r + s. Calculate the remainder when 218 is divided by r.
38
Suppose -2*s = -5*h - 462, -8*h = 5*s - 4*h - 1188. Let t = 309 - s. Calculate the remainder when t is divided by 15.
13
Let m = 2093 - 1796. What is the remainder when 1195 is divided by m?
7
Let p = 807 - 726. Suppose -p*m + 3840 = -57*m. Calculate the remainder when m is divided by 18.
16
Suppose 0 = -18*o - 57*o + 122*o - 7520. Let d = -26 + 37. Calculate the remainder when o is divided by d.
6
Let q(v) = -v**3 + 141*v**2 - 1880*v - 133. Calculate the remainder when q(124) is divided by 14.
13
Suppose 8920 = 8*o - 0*o. Calculate the remainder when o is divided by 59.
53
Suppose -t = -4*n - 39, -t - n = 59 - 68. What is the remainder when 3057 is divided by t?
12
Let a be -3 - ((-3)/(-12) + 26/(-8)). Let i(m) = m + 616. Let v be i(a). Suppose -2*n = 5*n - v. What is the remainder when n is divided by 30?
28
Calculate the remainder when 1342 is divided by ((-702)/90)/(3/(-65)).
159
Suppose 58*k + 3542 = 69*k. Suppose -52*v + k = -146. What is the remainder when 161 is divided by v?
8
Suppose k = -y + 18, -4*y + 44*k + 73 = 47*k. Suppose 3*g = -0*g + 195. What is the remainder when g is divided by y?
8
Suppose 4*m + 6*i - 8*i - 98 = 0, 3*i = 5*m - 120. Let u = m - -13. Calculate the remainder when u is divided by 23.
17
Let p(u) = 6*u**2 + 2*u - 1. Let t = 11 + -6. Let q = 28476 + -28453. Calculate the remainder when p(t) is divided by q.
21
Let l(p) = -18*p + 859. What is the remainder when l(-8) is divided by 67?
65
Let r = 32121 + -32108. Calculate the remainder when 3248 is divided by r.
11
Suppose 0 = -2*k + k + 4. Suppose -4*h = -k*n - 4, 5*n + 0*h - 2*h + 14 = 0. What is the remainder when (-6 - (-534)/9) + n/(-6) is divided by 29?
25
Suppose 0 = -11*k + 135 + 272. Let u = 403 + -141. Let a = -153 + u. What is the remainder when a is divided by k?
35
Suppose 11*w = -3*x + 13*w + 210, 3*x - 225 = -3*w. Calculate the remainder when 3743 is divided by x.
71
Let c be 48/(-456) + 20592/(-38). Let o = -516 - c. Calculate the remainder when 50 is divided by o.
24
Let k be ((-1)/(1*-2))/(18/14112). Suppose 5*o - o = -4*m + k, 4*m = -20. What is the remainder when o is divided by 31?
10
Suppose 14*r - 3*r = -13*r + 696. Suppose g + 4 = 24. What is the remainder when r is divided by g?
9
Let b = 15640 - 15390. Calculate the remainder when b is divided by 191.
59
Suppose 187*t + 8098 - 8447 = 56125. What is the remainder when 3324 is divided by t?
2
Suppose -5*j = 4*q - 29, 47 - 59 = 3*q - 3*j. Calculate the remainder when (q - (8 - 6))*-10 is divided by 8.
2
Let g be 6/(1*3/(-32)). Let n = g + 121. What is the remainder when (n*(2 - 10/6))/1 is divided by 4?
3
Suppose -5 = 5*g, -4*l + 3*g + 173 - 14 = 0. Calculate the remainder when 294 is divided by l.
21
Let u = -316 + 315. Calculate the remainder when (1*u)/(22/88) - -22 is divided by 3.
0
Let x = -394 + 395. What is the remainder when (x + -50)/(1/(-19)) + 3 is divided by 17?
16
Let v(a) be the first derivative of 10*a - 19 + 1/4*a**4 - 5/3*a**3 - 13/2*a**2. Calculate the remainder when 33 is divided by v(7).
16
Let s be (3/((-42)/(-8)))/(5/35). Calculate the remainder when 182 is divided by 23/(20/8*s/10).
21
Let v = 32 - 94. Suppose -g = 2*g + 5*r + 180, -3*g - 180 = r. Let t = g - v. What is the remainder when 6 is divided by t?
0
Suppose 4*d + 0*m = -4*m + 144, -5*d = m - 164. What is the remainder when 700 is divided by d?
28
Suppose 128*t = -131*t + 5180. Calculate the remainder when 4078 is divided by t.
18
Let x(n) = -n**3 + 19*n**2 - 20*n - 14. Let u be x(17). Let o = u - 186. What is the remainder when o is divided by 9?
2
What is the remainder when 6/15 - (-367840)/400 is divided by 44?
40
Suppose -27*k - 34*k + 34670 = 4414. Calculate the remainder when 992 is divided by k.
0
Suppose -l = -4*z + 17149, 6*z - 17140 = 2*z + 4*l. What is the remainder when z is divided by 33?
31
Suppose 4*n - 29 = 5*w, 2*w - 16 = -n - 2*n. Suppose -n*m - 33 + 81 = 0. Suppose -m*l + 10*l = 102. Calculate the remainder when l is divided by 26.
25
Suppose 0 = 5*v + 4528 - 4658. Calculate the remainder when 1744 is divided by v.
2
Suppose 35*d - 37*d = 348. Let q = d - -235. What is the remainder when q is divided by 21?
19
Suppose 0 = -5*n, 0*n = -r + 2*n + 3. Suppose a - 51 = -r*t - 4*a, -3*t - 4*a + 48 = 0. What is the remainder when t is divided by 9?
3
Let t(c) = -c**2 + 15*c - 13. Let j(i) = 7*i - 113. Let l be j(17). Let g(s) = -s + 14. What is the remainder when t(l) is divided by g(0)?
13
Suppose -j + 1 = 0, -79*j = 5*b - 77*j - 277. Calculate the remainder when b is divided by 30.
25
Let z = 154 + -136. Suppose -z*j = -0*j - 360. What is the remainder when 97 is divided by j?
17
Suppose -7 = -2*y - 3*n + 15, 4*y + 3*n = 32. Suppose 36 = -y*a + 511. What is the remainder when a is divided by 16?
15
Suppose 61173 = 121*r - 22776 + 10139. Calculate the remainder when r is divided by 122.
0
Suppose h - 18 + 6 = -4*r, -5*h + 15 = 5*r. Suppose 6*n = -3*u + 9*n, 2*u - 20 = -r*n. Calculate the remainder when 18 is divided by u.
2
Let m = 9432 + -9362. What is the remainder when 349 is divided by m?
69
Let o = 579 - 375. What is the remainder when o is divided by 37?
19
Let i(m) = -2*m**3 + 178*m**2 + 184*m - 184. What is the remainder when i(90) is divided by 17?
6
Suppose 4*l + 300 = 4*n, 3*l - 1011 = -3*n