 be the second derivative of -n**4/12 - 5*n**3/6 + 4*n**2 - 5*n. Let a be k(-5). Suppose 12*p - 80 = a*p. What is the remainder when 78 is divided by p?
18
Calculate the remainder when 466 is divided by ((-52)/6)/(7*(-10)/315).
37
Let q(c) = c**2 + 47*c - 145. Calculate the remainder when 35 is divided by q(3).
0
Let z be 1*-17*(-4)/(-2). Let w = -30 - z. Suppose -w*i + 2*i + 166 = 0. What is the remainder when i is divided by 21?
20
Let d(u) = u**2 - u + 1. Let s be d(4). Suppose s*m - 935 = 2*m. Calculate the remainder when m is divided by 22.
19
Suppose -15*m + 8*m = -994. Calculate the remainder when m is divided by 29.
26
Let h = 1020 - 519. What is the remainder when h is divided by 9?
6
Let u be (60/52 - (-2)/(-13)) + 0. Suppose -u + 15 = z. Calculate the remainder when 41 is divided by z.
13
Let d = 4100 - 4095. Let h(s) = s**2 + s + 16. Calculate the remainder when h(0) is divided by d.
1
Suppose 14*c = 91 + 175. Suppose 3*z - 4*v - 117 = 0, -z - 2*v + 18 = -11. Calculate the remainder when z is divided by c.
16
Suppose 8 + 12 = 5*x - 4*a, -x = 2*a + 10. Suppose 6*u - 9*u + 60 = x. Calculate the remainder when u is divided by 9.
2
Let v = 829 + -257. What is the remainder when v is divided by 82?
80
Let x(z) = -2*z - 9. Let b = 8 - 3. Suppose 2*t - b*o + 39 = -t, -2*o = t + 2. Calculate the remainder when 18 is divided by x(t).
4
Suppose 12*q - 1156 + 1000 = 0. Calculate the remainder when 334 is divided by q.
9
Suppose 19*o = 190 + 494. What is the remainder when o is divided by 2?
0
Suppose 5*c = g + 2*g + 13, -5*c = -5*g - 25. Let f(w) = w**3 + 5*w**2 - 8*w - 9. Calculate the remainder when f(g) is divided by (0 + 1)/(7 + -6).
0
Let a be 3*(3 - 4) - 39 - 4. What is the remainder when (-4 - -1) + 23/(a/(-140)) is divided by 23?
21
Suppose -5*l + 5*k + 690 = 0, 5*l = 4*k + 1001 - 316. What is the remainder when l is divided by 39?
16
Let u(j) = -j**3 - j**2 - 4*j + 50. What is the remainder when 241 is divided by u(0)?
41
Let r(f) be the third derivative of -f**6/60 - f**5/12 + f**4/6 - 16*f**2. Calculate the remainder when r(-4) is divided by 11.
10
Let z(n) = n**3 - 6*n**2 + 4*n - 1. Let v be z(5). Calculate the remainder when (1 - 35/14)*8/v is divided by 2.
0
Let a(h) = -2*h - 2*h - 4 + 25. What is the remainder when 62 is divided by a(0)?
20
Suppose t + 2290 = 5*x, -2*t - 13 + 3 = 0. What is the remainder when x is divided by 51?
49
Suppose 2*a + 2*g = -2*a + 36, 11 = a + g. Suppose -139 = -a*x - 27. Calculate the remainder when 23/(1*1/2) is divided by x.
14
Suppose -42 = -4*j + 126. Let o(l) = -l**3 + 3*l**2 - 9*l - 27. Calculate the remainder when j is divided by o(-2).
9
Let d = 166 - 84. Let k = 94 - d. Calculate the remainder when 167 is divided by k.
11
Suppose -s + 2*t + 34 = 0, 96 = 5*s - 5*t - 64. Calculate the remainder when 147 is divided by s.
27
Suppose 0 = -11*u + 39 + 16. Calculate the remainder when 22 is divided by u.
2
Suppose -4*o - 5*n + 206 = 0, 4*n - 262 = -4*o - o. Let k = 13 + -1. Let s = 7 + k. Calculate the remainder when o is divided by s.
16
Let t = -211 - -375. What is the remainder when t is divided by 56?
52
Suppose 0 = -5*l - 254 - 571. Let z = -72 - l. Calculate the remainder when z is divided by 12.
9
Suppose 0 = -5*o + 97 - 37. What is the remainder when 56/o*3/2 is divided by 5?
2
Suppose -3*n + 9 = t + 2*t, -3*t - 5*n = -9. Suppose q + 4 = 5*q, 0 = 3*g - q - 86. What is the remainder when g is divided by t?
2
Let g(r) = 25*r + 606. What is the remainder when 16 is divided by g(-24)?
4
Let t = 13 - 10. Suppose -5 - 10 = -t*s. Suppose -s*y + u + 109 = -2*y, y + 2*u = 27. Calculate the remainder when y is divided by 12.
11
Let j(m) = 68*m**2 + 1. Let i be j(1). Let r = i - 49. Suppose -c - 64 = -5*t, 0*t + 3*t = -4*c + r. What is the remainder when 33 is divided by t?
9
Suppose -85*g = -193*g + 3132. Let c(v) = 11*v**3 - 2*v - 2. What is the remainder when c(3) is divided by g?
28
Let k = 11 + 47. Let j = 3208 + -3177. What is the remainder when k is divided by j?
27
Let y(v) = 6*v**3 - 3*v**2 + 5*v + 1. What is the remainder when 1595 is divided by y(2)?
44
Suppose 45*v + 1980 = 56*v. What is the remainder when v is divided by 13?
11
Let i = 79 + -28. Suppose -4*o - 5*m = -0*m - 73, 0 = 3*o + 5*m - 61. What is the remainder when i is divided by o?
3
Suppose 0 = 3*w + 2*w + 455. Let o = w - -100. What is the remainder when 25 is divided by o?
7
Suppose -76*r + 220 = -71*r. What is the remainder when r is divided by 20?
4
Let g(k) = 3*k**2 - 3*k - 64. What is the remainder when 163 is divided by g(7)?
39
Suppose -5*d - 35 = -10*d. Suppose -5*o = -o - 3*a + d, -4*a = 4*o - 28. Suppose -26 = -3*r + o*r. Calculate the remainder when 100 is divided by r.
22
Let p be -13*2/(-6)*33. Suppose 5*n - p = -43. What is the remainder when (21/14)/(((-84)/304)/(-7)) is divided by n?
18
Suppose 17*p = 21*p - g - 29, 4*p + 4*g = 24. Suppose -3*t = 4*q + 22, 3*t = -5*q - 2*t - 30. Calculate the remainder when (-1 + (-26)/q)*2 is divided by p.
4
Let x(p) be the third derivative of p**5/60 + p**4/8 + p**3/2 - 6*p**2. Calculate the remainder when 9/(6/2) - -22 is divided by x(-5).
12
Suppose -3*r - 18 = -3*g, 3*r - 7*r - g - 9 = 0. What is the remainder when (-32)/r + (-6)/(-18) is divided by 7?
4
What is the remainder when 1019 is divided by 7/112 - (-1338)/96?
11
Calculate the remainder when (-61 - -59)/(1/(-86)) is divided by 48.
28
Suppose 3*g - 24 = 18*a - 15*a, 46 = 4*g + 3*a. Calculate the remainder when 1319 is divided by g.
9
Let o(q) = -3*q. Let y(u) = 12*u**2 + 9*u + 15. What is the remainder when y(-2) is divided by o(-4)?
9
Let f = 2616 + -894. Calculate the remainder when f is divided by 69.
66
What is the remainder when -2*28/(-1) - (3 + -6) is divided by 11?
4
Let v(d) = -48*d**3 - 2*d**2 + 17*d + 17. Calculate the remainder when 255 is divided by v(-1).
25
Suppose 2*z = -5*l - z - 9, 17 = -3*l + 4*z. Let c = -1 + l. Let m(r) = r**2 + 3*r + 6. Calculate the remainder when 39 is divided by m(c).
9
Suppose 0*r - 4*f - 164 = -3*r, -4*f = 5*r - 284. What is the remainder when r is divided by 4?
0
Calculate the remainder when (-369)/(-3) + 3/1 + -1 is divided by 32.
29
Calculate the remainder when 70 is divided by (-85)/45*-6*3.
2
Let x = 1254 - 1141. Calculate the remainder when x is divided by 45.
23
Let p be (-7)/(385/10) - 40/22. What is the remainder when 67 is divided by p/(-4)*(16 - -4)?
7
Suppose 5*j - 5*g - 118 = -8*g, -5*g - 98 = -3*j. Calculate the remainder when 120 is divided by j.
16
Suppose -28*z + 3 = -27*z. Let a = 12 - 5. What is the remainder when 11*(-4)/(-8)*(-1 + z) is divided by a?
4
Let k be 1827/(-6) - (-15)/(-10). Calculate the remainder when -4 + 1/((-3)/k) is divided by 33.
32
Suppose -102*p + 531 = -1713. Suppose 0*o + 340 = 4*o. Calculate the remainder when o is divided by p.
19
Let f(q) = q**3 - q**2 + 3*q - 4. What is the remainder when f(3) is divided by (3 + 0)*21/21?
2
Suppose 10*p - 20 = 5*p. Suppose 9*u - 445 = p*u. Calculate the remainder when u is divided by 18.
17
Suppose -5*x + 158 = -p, p + 126 = -2*x + 6*x. Let n = 4 + -4. Suppose n = 3*f - 6 - 9, -5*q + 65 = 2*f. Calculate the remainder when x is divided by q.
10
Let l(v) = v. Let j be l(-1). Let w be ((-30)/(-12))/(j/(-2)). Suppose -3*h = 3*o - 0*h - 228, 5*o = w*h + 360. What is the remainder when o is divided by 25?
24
Let l = 23 + 1. Suppose -3*g + 75 = 2*o - 105, 3*g = -6. What is the remainder when o is divided by l?
21
Let n(k) = 2*k**2 + 17*k - 6. Let g be n(-12). Let a = g - -1. Suppose a = 3*p + 5*j, 0 = -3*p + 4*j - j + 63. Calculate the remainder when 90 is divided by p.
21
Let z = -168 + 205. Suppose 0*a - 138 = -2*a + 4*f, -5*f = -4*a + 282. What is the remainder when a is divided by z?
36
Let r be 2 + 0 - (-3)/1. Suppose 0 = -r*c + 4*j - j + 78, 2*j = 4*c - 64. Calculate the remainder when 64 is divided by c.
10
Suppose 5*f - 238 = -2*f. Let o = -32 - -45. Suppose -2*s + o + 5 = 0. Calculate the remainder when f is divided by s.
7
Let b(i) = -i**2 - 11*i + 1. Let p = 68 - 33. Suppose 2*c = p + 47. What is the remainder when c is divided by b(-10)?
8
What is the remainder when 287 is divided by -1 + 32 + -12 + 22?
0
Suppose 36 = 3*z - 5*l, 24*z + 24 = 26*z - 5*l. Suppose 4*u - 10 - 10 = 0. Wh