 74397/(-24) is divided by 8.
4
Let u(a) = 7*a**2 + 2*a - 12. Let x be u(-5). Suppose -4*l = x - 157. What is the remainder when l/3 + ((-640)/(-15) - 5) is divided by 8?
6
Let j(r) = -3 - 26*r - r**3 + 12*r**2 - 2 + 21 - r**2 + 15. Calculate the remainder when 66 is divided by j(8).
6
Suppose 2*i - 88 = -0*i - 4*b, b = 3. Suppose y = -l - 20, -2*l + y = 2*y + i. What is the remainder when 38/9 + 4/l is divided by 1?
0
Let n(u) = u. Let g be n(-4). Let w(v) = 4*v**2 + 6*v - 55. Let i be w(4). What is the remainder when 110 is divided by 0 + (i - 1) + g?
26
Let z(g) = 16*g - 37. Let q be z(11). Suppose 0 = 4*t + q + 1. Calculate the remainder when 22 is divided by (-7)/t - (-39)/5.
6
Let b(c) = -4*c**3 + 19*c**2 + 11*c - 11. Let l = -164 + 169. What is the remainder when 148 is divided by b(l)?
15
Let a(s) = s + 3. Let z = -78 + 87. Suppose 23 = -z*i + 248. What is the remainder when i is divided by a(6)?
7
Suppose 4*s - 5*w = 2752, 2*s - 4*w + 2716 = 6*s. Let x = 690 - s. What is the remainder when (-4)/14 - 233/(-7) is divided by x?
5
Let s = -1602 + 2782. Suppose -s = -24*i - 28. Calculate the remainder when 87 is divided by i.
39
Suppose -180*r + 6750 = -91*r - 74*r. What is the remainder when 1057 is divided by r?
157
Suppose -5*y = -4*r + 166, 4*y - 87 - 100 = -5*r. Let i = 168 + -116. Calculate the remainder when r is divided by i/(-182) + 37/7.
4
Let w(b) = b**2 + 141*b + 4528. Calculate the remainder when w(-100) is divided by 32.
12
Let f(a) = a**3 - 37*a**2 + 70*a + 30. What is the remainder when 686 is divided by f(35)?
26
Suppose 10324*m - 10290*m = 32266. Calculate the remainder when m is divided by 99.
58
Suppose -23*m + 19*m + 28 = 0. Let l = 0 + m. Calculate the remainder when 6/10 + 368/20 is divided by l.
5
Suppose 0 = -i + 3*x + 45 + 75, 0 = -5*x - 15. Suppose r - 19 + 17 = 0. What is the remainder when i is divided by 6 + (-378)/(-12) + r/4?
35
Suppose -84*j + 91*j + 8288 = 0. Let y = j + 1748. What is the remainder when y is divided by 63?
60
Let n(o) = -2*o**2 - 92*o + 110. Calculate the remainder when 2/((-3)/2 + 47/30) is divided by n(-47).
14
Let q = -193 + 177. Let c = 50 + q. Calculate the remainder when c is divided by 17.
0
Suppose -1039 = -o - 17*r + 21*r, -4*r = 4*o - 4156. Let y = o + -567. Calculate the remainder when y is divided by 6.
4
Suppose 5*j + 0*j = 60620. Let n be 9/15*-1 + j/(-35). Calculate the remainder when -5 + 64/12 - n/3 is divided by 15.
11
Suppose -2*c - 12 = 3*k + 3*c, -5*c = -5*k - 20. Let f(z) = 5*z + 10*z**2 + 10 + 4*z**3 - 1 - 2*z**3. What is the remainder when f(k) is divided by 9?
3
Suppose 0 = -7*x + 28 - 7. Suppose 0 = x*w + 3*f - 18, -3*w + 31 = 2*w + 4*f. Calculate the remainder when 25 is divided by w.
4
Suppose 0 = -5*g + 5*d + 1100, 12*d = 16*d + 8. Calculate the remainder when 33789 is divided by g.
217
Let y = -17 - -28. Let f(r) = -8*r - 20. Let h be f(-3). Let s(u) = 2*u**3 - 8*u**2 + 6*u - 3. What is the remainder when s(h) is divided by y?
10
Suppose -q = -21 - 1. Let a = -9 + q. What is the remainder when 91/(-52)*-38*((-51)/21 + 3) is divided by a?
12
Let v be -8*(-30 - (-6 - -12)). Suppose -3*i - 9*i = -v. What is the remainder when i is divided by 2?
0
Let g(n) = -1551*n - 56927. Suppose -3*a = -6, -5*a - 178 = -3*d + 10. Calculate the remainder when g(-37) is divided by d.
64
Let n = 5658 - 5439. Calculate the remainder when 2188 is divided by n.
217
Suppose 137 = 5*p - 373. Let a = p + -96. What is the remainder when 55 is divided by a?
1
Suppose -v - 285 = -2*f, -3*f - 3*v = -7*f + 565. What is the remainder when 1444 is divided by f?
139
Let t(u) be the second derivative of u**5/20 - 2*u**4/3 - 7*u**3/6 + 8*u**2 + 2*u + 5. What is the remainder when 88 is divided by t(9)?
20
Suppose 0 = -7*w + 5*w + 22. Let q(l) = l**2 - 10*l - 3. Let g be q(w). Suppose 624 - 192 = g*u. What is the remainder when u is divided by 11?
10
Let q = 197 + -237. What is the remainder when 21 is divided by 68/5 + (312/q)/13?
8
Suppose n - 3*n = -1118. Let p = -558 - -609. Calculate the remainder when n is divided by p.
49
What is the remainder when 327267/207*(1 + 2/(-6)) is divided by 263?
2
What is the remainder when (-19)/(-12)*-4*(-409 - 2) is divided by 12?
11
Calculate the remainder when 5146/8 - (284/(-16) + 17) is divided by 160.
4
Suppose -48*t + 4010 + 3214 = 8*t. What is the remainder when 4380 is divided by t?
123
Suppose -32*s + 104*s + 11*s - 2324 = 0. What is the remainder when 547 is divided by s?
15
Let a(l) = l**3 - 5*l**2 + 4*l + 2. Suppose -1204*p + 1200*p = -11 - 61. Calculate the remainder when a(5) is divided by p.
4
What is the remainder when 336 is divided by 6/27 + (1670/18 - 12)?
12
Suppose -21 = 27*l + 1113. Let g(d) = d**2 + 40*d - 22. What is the remainder when g(l) is divided by 26?
10
Suppose 0 = -4*b - 3*w + 17, -11 = 2*b + 4*w - 17. Suppose -b*c + 3*q + 177 = 0, -5*c + 43 = q - 138. What is the remainder when 85 is divided by c?
13
Let d(r) = r**3 + 25*r**2 - 26*r - 54. Suppose -4*g - 104 = 4*v, 0*v - 121 = 5*g - 4*v. Calculate the remainder when d(g) is divided by 23.
21
Suppose -460*l + 483*l - 17664 = 0. Calculate the remainder when l is divided by 96.
0
Suppose -16*t = -17*t + b + 175, 3*t = 2*b + 528. Calculate the remainder when t is divided by 18.
16
Calculate the remainder when ((-1287)/(-22) + -20)*(-80)/(-7) is divided by (-2 - 39/6)*(-5 + 3).
15
Suppose 3*j - 10968 = -3*k + 14277, -3*j = -3*k + 25221. Calculate the remainder when k is divided by 165.
161
Let p = 2071 - 1978. Let m be -7 + 2 - -1 - 2. What is the remainder when p is divided by 12/(-8)*76/m?
17
Suppose -4*k + 5*q - 4 = -92, 5*k = q + 131. Calculate the remainder when 3*-52*(-4)/8 is divided by k.
24
Let i = -36 - -38. Suppose 10 = -2*y, 3*a - 3*y - 12 = i*a. Let k = a + 17. Calculate the remainder when 26 is divided by k.
12
Suppose 0*f - 2*f = 2*m - 66, -4*m = 3*f - 132. Suppose -24*w = -599 - 817. Calculate the remainder when w is divided by m.
26
Suppose -21 = 3*g, -3*o + 4*g - 4335 + 4399 = 0. Calculate the remainder when 1679 is divided by o.
11
Let n = 2653 + -2243. What is the remainder when n is divided by 20?
10
Let v be 338 - -4*(0 - -1). What is the remainder when 4/(24/v) - -3 is divided by 9?
6
Let s(l) = 27*l**3 - 2*l - 9. Let b(r) = 13*r**3 - r - 4. Let k(z) = 13*b(z) - 6*s(z). Calculate the remainder when 21 is divided by k(1).
5
Let p(s) = -47*s - 5. Let h be p(-4). Let y = h + 108. Calculate the remainder when y is divided by 42.
39
Suppose 2579 = 17*t + 590. Suppose 440 = 5*x + 6*x. Calculate the remainder when t is divided by x.
37
Let n be 26/143 - (-1637)/11. Let o = n - 90. Calculate the remainder when 112 is divided by o.
53
Let u = -99 - -106. Let a(m) = -m**2 + 10*m - 15. Let d be a(6). Suppose -4*o + 49 = d. What is the remainder when o is divided by u?
3
Let a = 7308 + -7289. Let m = 136 + -49. Calculate the remainder when m is divided by a.
11
Let u = 128 + -112. Let f be (-2 + -1)*20/(-12). Suppose 0 = 5*r + 4*y - 53, 5*y + 1 + 34 = f*r. Calculate the remainder when u is divided by r.
7
Let n(x) = 10*x + 10. Let c be n(13). Suppose -2*u + 24 = -4*b + 134, 5*b - 5*u - c = 0. What is the remainder when b is divided by 14?
13
Let f = 11947 - 11349. Calculate the remainder when 1218 is divided by f.
22
Suppose -2*v + 4*l + 14 = 0, 5*v - 16*l - 105 = -20*l. Suppose -5*w + 5*d + 150 = 0, -15*d + 114 = 4*w - v*d. Calculate the remainder when w is divided by 14.
13
Let s = -3682 - -5047. Calculate the remainder when s is divided by 33.
12
Let f(i) = -i**3 - 11*i**2 - 24*i - 5. Let y be f(-9). Let c be 12 - (-6)/(-1 + -2). Suppose 0 = c*x - y - 201. What is the remainder when 72 is divided by x?
22
Let n = -8 - -10. Let z be ((4/n)/(14/(-427)))/(-1). Suppose 3*p - 90 = -5*q, p + 3*q = -p + z. What is the remainder when 137 is divided by p?
32
Let d = -20586 - -20666. What is the remainder when 82 is divided by d?
2
Let w = -27 - -37. Suppose -4*r = w*r - 70. What is the remainder when 16 is divided by r?
1
Let q(w) = 9*w - 183. What is the remainder when q(27) is divided by 14?
4
Let u(p) = 94*p**2 - 5*p + 7. Suppose 8*z + 4 = -2*s + 10*z, 5*z = 4*s + 11. Suppose -3*n + 9 = -2*n. Calculate the remainder when u(s) is divided by n.
6
Let x = -276 + 301. Sup