n 23 is divided by p(x).
3
Let a = 19317 + -17160. What is the remainder when a is divided by 717?
6
Suppose -228*j - 13394 = -265*j. What is the remainder when j is divided by 30?
2
Let j(n) = -16*n + 204. Let d be j(12). Suppose 449 + 487 = d*q. Calculate the remainder when q is divided by 16.
14
Let l(p) = 319*p - 400. Calculate the remainder when l(2) is divided by 76.
10
Suppose -2*y = -5*i - 541 - 438, -3*i + 2463 = 5*y. Suppose -126 = -495*f + y*f. Suppose 0 = -3*j + 21 + 6. What is the remainder when f is divided by j?
6
Let z = -103 - -103. Suppose -6*d + d - 2*y + 147 = z, 4*y = -16. What is the remainder when 433 is divided by d?
30
Suppose -3*y - 1 + 16 = 0. Suppose 2*z + 14*h = 16*h + 70, y*h = -5*z + 215. What is the remainder when z is divided by 31?
8
Calculate the remainder when 343 is divided by (-6 + (4 - -15))*7 + (7 - 4).
61
Let i be 8/(-14) - ((-1200)/(-35))/(-4). Calculate the remainder when (-8 - (0 - i)) + 109 is divided by 29.
22
Suppose 0 = 8*d - 240 + 96. Calculate the remainder when 221 is divided by d.
5
Let t = 962 + -948. Let b = 165 + -91. What is the remainder when b is divided by t?
4
Suppose 89*s - 17173 = 35482 + 1279. What is the remainder when s is divided by 89?
72
Suppose 3442*b - 3446*b = 3*i - 1925, 3*i - 2*b = 1913. What is the remainder when i is divided by 208?
15
Let u(s) be the first derivative of 43*s**3 - 2*s**2 - 3*s - 17. Let c be u(-2). Suppose -c - 123 = -7*f. Calculate the remainder when f is divided by 19.
16
Let d be (-12)/(-8) + (-14)/(-4). Suppose d*l = 4*m - 127, 2*m = -2*l - 28 + 114. What is the remainder when m is divided by 16?
6
Suppose 218 + 405 = o + s, 6 = -3*s. What is the remainder when o is divided by 1?
0
Suppose -3*l = 9*l. Suppose l = -r + f + 4*f - 24, 2*r = 4*f - 24. What is the remainder when 11*(r/(-20))/(3/15) is divided by 4?
3
Suppose 0 = -3*u - 4*u - 350. Let w = u + 64. Let i = 40 + -31. What is the remainder when w is divided by i?
5
Suppose 40*z - 122880 = 9*z - 22502. What is the remainder when z is divided by 40?
38
Let i(s) = s**3 - 26*s**2 + 6. Let g = -31 - -48. What is the remainder when g is divided by i(26)?
5
Suppose -686 = -4*d - 678, 3*s + 4*d = 323. Calculate the remainder when s is divided by 100.
5
Let t be 1/(1*-1*2/(-10)). Suppose 10*p + 59 = 15*p - 4*a, t*a - 20 = 0. What is the remainder when 48 is divided by p?
3
Let o(u) = -685*u + 49350. Suppose -m + 89 = 5*v, 2*m - 18 = -2*v + 16. Calculate the remainder when o(72) is divided by v.
12
Let o = 53 - 31. Suppose -158 = -4*h - o. Let s = -152 - -218. What is the remainder when s is divided by h?
32
Let v(u) = -34*u**3 - 18*u + 38. Let k(s) = -7*s**3 - 4*s + 8. Let n(i) = -14*k(i) + 3*v(i). Calculate the remainder when n(-3) is divided by 103.
1
Let c be (335/2)/(7/(-140)). Calculate the remainder when (c/350)/(2/(-14)) is divided by 7.
4
Let y = 717 + -718. Let r(j) = -179*j + 11. Calculate the remainder when r(y) is divided by 28.
22
Let z(y) = -3*y**2 - 50*y + 30. Calculate the remainder when z(-11) is divided by 19.
8
Suppose -61*y = 208*y - 60*y - 227601. What is the remainder when y is divided by 25?
14
Suppose 72*q = 431*q - 5744. Calculate the remainder when 490 is divided by q.
10
Suppose -7*b + 95 = 5*w - 16*b, -3*b = -5*w + 95. Calculate the remainder when 1320 is divided by w.
9
Let j = 3520 - 3495. Calculate the remainder when 648 is divided by j.
23
Let v be (2 + (-10 - -5))/(2/(-26)). Let r = 56 - v. What is the remainder when 67 is divided by r?
16
Let d be (-1 - (9/15)/(-1))*-380. Suppose 70 = 2*j - 5*y, -d = j - 6*j + y. Suppose -j = -5*a + 2*a. Calculate the remainder when 17 is divided by a.
7
Suppose -201 = 7*d - 236. Suppose -82 = -2*w - d*s, -7*s = -3*w - 3*s + 146. Calculate the remainder when 181 is divided by w.
43
Suppose 7*d - 9*d + 33*d - 1550 = 0. Calculate the remainder when 60 is divided by d.
10
What is the remainder when (-5)/((-3577)/14028 + 6/24) is divided by 250?
2
Let r = -17706 - -18266. Calculate the remainder when r is divided by 185.
5
Let m = 21413 - 20833. Calculate the remainder when m is divided by 569.
11
Suppose 13*w = 22 - 152. Suppose -2*n + 46 = -0*n. Calculate the remainder when n is divided by 1056/76 - w/95.
9
Suppose -5*x + 37 = 12. Let f(i) = i. Let v be f(x). Suppose -3*n - 5*a = -2*a - 18, 0 = n - v*a. What is the remainder when 7 is divided by n?
2
Let x = -308 - -312. Suppose -x*t = -4*h - 72, -5*t - 3*h = 37 - 119. What is the remainder when 40 is divided by t?
6
Let u(i) = 14*i**2 - 660*i + 98. What is the remainder when 199 is divided by u(47)?
3
Suppose 10*c = 16*c - 372. Suppose -148 + 12 = -4*r - 2*v, -2*r = 4*v - c. Calculate the remainder when 173 is divided by r.
33
Suppose -u - 8 + 45 = 0. Suppose 0 = 232026*z - 231929*z - 32010. What is the remainder when z is divided by u?
34
Suppose 464 = 7*w - 635. Suppose -5*q + w = -4*r, 17*r = -5*q + 20*r + 159. Calculate the remainder when 61 is divided by q.
28
Let g = -42 + 45. What is the remainder when 37 is divided by (-10)/1*(9 + -14 + g)?
17
Let g(n) = -20 - 12*n + 35 + 38. Let p be g(4). Suppose -6*v - 52 = -10*v - 2*o, -p*o = -2*v + 50. What is the remainder when 147 is divided by v?
12
Let i(x) = 10*x - 94 + 6*x + 2*x + 2*x - 4*x. Calculate the remainder when i(17) is divided by 45.
43
Let r(v) = v**3 - 4*v**2 - 7*v. Suppose 0 = -7*f + 9 + 26. Let l be r(f). What is the remainder when (-238)/(-10) - (-8)/l - -1 is divided by 15?
9
Let i(n) = -55*n - 4272. What is the remainder when 21971 is divided by i(-83)?
289
Let m be 4*(1650/24 + -5). Let h = m - 227. What is the remainder when 63 is divided by h?
7
Let w be (-39)/65 - -2*(-2)/10. What is the remainder when 65 is divided by (16 - 17)*(16 - -1)/w?
14
Let v = 392 + -375. Suppose 11*x + v*x - 476 = 0. Calculate the remainder when 17 is divided by x.
0
Let z = -4031 - -4061. What is the remainder when 313 is divided by z?
13
Suppose x + 17 = -5*z + 199, -3*x + 602 = z. Calculate the remainder when x is divided by 112.
90
Suppose 5*k + 21 = -2*x, 3*x + 3*k + 5 = -4. Suppose -j - 2*v = v - 70, -x*v = -j + 75. Calculate the remainder when j is divided by 25.
23
What is the remainder when 1253 is divided by 21/(-14) - (-9444)/24?
77
Let k = 439 + -388. What is the remainder when k is divided by (54/12 + -4)*30?
6
Let u(g) be the second derivative of 11*g**3/6 - 19*g**2/2 - 13*g. Let p be u(6). Suppose -6*y + p = -73. What is the remainder when y is divided by 7?
6
Let r = -462 + 514. Let g = 16 + -13. Suppose g*p + 50 = 2*j - 0*j, j = 3*p + 31. What is the remainder when r is divided by j?
14
Let o(l) = l**3 - 10*l**2 + 2*l + 1. Let w be o(0). Suppose 0 = -3*b - q + 238, -2*q + q + w = 0. Calculate the remainder when 232 is divided by b.
74
Suppose 4*i = -4*r + 44, 5*i - 87 = -r + 4*r. Suppose 165*j = 103*j + 40796. Calculate the remainder when j is divided by i.
13
Suppose 0 = -26*q + 1691 + 9697. Let x = 36 - -27. What is the remainder when q is divided by x?
60
Calculate the remainder when 622 is divided by (-5 + (-1 - -10))*(-345)/(-20).
1
Suppose -145*m = 38*m - 256200. What is the remainder when m is divided by 698?
4
Let h = 3902 + -1247. What is the remainder when h is divided by 36?
27
Suppose 3*s + 5*s = 32. Let w be 1/((-13)/(-5822)) - s/(-26). Suppose t = 3*m + 92, -4*t + 0*m + w = 4*m. What is the remainder when t is divided by 27?
26
Suppose -11*r + 85 = 470. Let u = r - -308. Calculate the remainder when u is divided by 23.
20
Suppose 2*j = -l + 29, -27*l - 230 = -33*l + 2*j. Calculate the remainder when 1367 is divided by l.
35
Suppose 2*n - 13*v = -16*v + 851, -2*n + 2*v = -836. What is the remainder when 758 is divided by n?
337
Let x = 70 + 109. Let p = -3205 + 3223. What is the remainder when x is divided by p?
17
Let y(d) = -d**3 + 17*d**2 - 5*d - 15. Let b be y(7). Suppose -2*l + 110 + b = 0. Calculate the remainder when l is divided by 31.
27
Suppose 406 + 1301 = 3*l + 5*d, -3*d - 2276 = -4*l. What is the remainder when l is divided by 39?
23
Suppose -9*d - 12 = 24. Calculate the remainder when 46 is divided by ((-24)/(-12) - (-38)/d)*-2.
1
Let g(z) = 18*z**2 - 5. What is the remainder when g(-3) is divided by 85?
72
Let b(g) = 7 + g**2 - 12*g + 3*g + 2 + 2*g**2. Let z be b(5). Let i = -34 + z. Cal