w) = w**3 - 5*w**2 + 4*w + 2. Let p be n(4). Suppose p*m - 5 = 5*k - 90, 4*k - 80 = 4*m. What is the remainder when k is divided by 9?
6
Suppose 0 = -10*r + 4*r + 396. What is the remainder when 391 is divided by r?
61
Let k(a) = a**3 - 10*a**2 + 8*a. Let p be k(9). Let n(s) = -s**3 - 6*s**2 + 21*s + 7. Calculate the remainder when n(p) is divided by 22.
17
Let t(n) be the first derivative of -3*n**2/2 - 31*n + 41. Calculate the remainder when t(-17) is divided by 6.
2
Suppose -9*u + 8*u - 5*p + 708 = 0, -3*p + 1409 = 2*u. What is the remainder when u is divided by 32?
31
Let v = -29 + 28. Let u(j) = -62*j**3 - j**2 - 2*j - 1. What is the remainder when u(v) is divided by 16?
14
Let o(u) = -u**3 - 4*u**2 + 9*u + 18. Let w be o(-5). Let k(s) = -25*s - 11. Calculate the remainder when k(w) is divided by 15.
9
Let p(u) = -3*u**3 - 6*u**2 + 2*u - 1. Let d(g) = -6*g**3 - 11*g**2 + 3*g - 3. Let q(t) = 4*d(t) - 7*p(t). Calculate the remainder when q(-3) is divided by 17.
13
Let j be 5/10*710 + -4. Suppose -j = -0*m - 5*m - 4*s, m + 3*s - 79 = 0. Suppose -m = -8*c + 13. Calculate the remainder when c is divided by 3.
1
Let y be 3*(-5)/(-15) - (0 - 3). Suppose 184 = -0*u + y*u. What is the remainder when u is divided by 7?
4
Suppose i = -4*g - 2, -3*i + 0*g - g + 5 = 0. What is the remainder when i is divided by 1?
0
Let w be (-32)/(-2) + -1 + -1. Suppose -t = -w + 5. Suppose -3*h + 85 = 2*h. What is the remainder when h is divided by t?
8
Suppose -172 = -2*p - 4*r, -4*p + 2*p + 172 = -2*r. Suppose 12*v - 10*v = p. Let g(z) = -z**2 + 34*z - 18. Calculate the remainder when v is divided by g(33).
13
Let y(j) = 0 + 6*j + 15 + j**3 - 2*j**2 + 11*j**2 - 2*j**2. Calculate the remainder when y(-6) is divided by 9.
6
Let h = -277 - -436. Calculate the remainder when h is divided by 10.
9
Suppose 0 = 4*w + 3*w + 63. Let o be (-21)/w + (-6)/18. What is the remainder when o/(-9) - (-4440)/54 is divided by 21?
19
Suppose 150 = 3*f + 2*f. Calculate the remainder when 42/(2520/100)*(-432)/(-10) is divided by f.
12
Let x(h) = -h**2 - 10*h - 2. Let j be x(-10). Let i = 10 + j. Calculate the remainder when 34 is divided by (4/(-6))/(i/(-84)).
6
Let o(t) = -t - 6. Let i be o(-7). What is the remainder when (2 - i)/2*74 is divided by 11?
4
Suppose -2*r + 796 = -780. Calculate the remainder when r is divided by 132.
128
Suppose 2 = -g + 13. Suppose 5*j = 2*d - g, -d + 3*j + 1 = -3. Calculate the remainder when 38 is divided by d.
12
Let k(c) = c**3 - 27*c**2 + 75*c - 24. What is the remainder when 813 is divided by k(24)?
45
Let u(k) = 78*k**2 - k - 3. What is the remainder when 150 is divided by u(-1)?
74
Let o(i) be the second derivative of -i**3/3 + 36*i**2 - 10*i. Let g = -112 + 180. Calculate the remainder when g is divided by o(29).
12
Let y(t) be the second derivative of t**5/20 + 5*t**4/6 + 5*t**3/6 - 19*t**2/2 + 29*t. Calculate the remainder when y(-7) is divided by 19.
17
Let l = 105 - 94. What is the remainder when 241 is divided by l?
10
Let c = 1502 + -1459. What is the remainder when (42/(-8))/((-2)/48) is divided by c?
40
Suppose 0 = -4*c + 4 + 4. Let o = 94 + -88. What is the remainder when o is divided by c?
0
Let i = 269 - 98. What is the remainder when i is divided by 44?
39
Suppose -2*k + 15 - 1 = 0. Let a = 2 + k. What is the remainder when a is divided by 5?
4
Calculate the remainder when ((-7 - -7) + -3)*(-1 - 0) is divided by 13/4 + (-2)/8.
0
Let m(n) = n**3 + 16*n**2 + 22*n - 17. Let s be m(-14). Suppose -h = -a - 12, 5*h - a - s = -3*a. Calculate the remainder when 37 is divided by h.
11
Suppose 4*u = 37 - 9. Calculate the remainder when (-3)/6 + 6832/224 is divided by u.
2
Let y(n) = -8*n - n**2 + 3*n + 3 + n. What is the remainder when 5 is divided by y(-4)?
2
Suppose 0 = 2*f + f - 3*c - 210, 0 = -4*f - 2*c + 268. Suppose -250*s = -242*s - 144. Calculate the remainder when f is divided by s.
14
Suppose 3*c + 5*k = -38, -4 = 2*c - 3*k + k. Let a = c + 27. Suppose -2*m + a = -m. What is the remainder when 83 is divided by m?
20
Let k = 1 + 3. Suppose 4*d - 12 = 0, 5*c + 1 - 13 = -k*d. Suppose r - 62 = -x + 5*r, 3*x - 3*r - 141 = c. Calculate the remainder when x is divided by 22.
20
What is the remainder when (27/(-135))/((21/4530)/(-7)) is divided by 17?
13
Suppose -2*k - 17 = -21. Suppose -2*b - x = -40, -4*b + 2*b + k*x + 40 = 0. Calculate the remainder when 76 is divided by b.
16
Let b(p) = -p - 21. Let q be b(0). Let a(l) = -l**3 - 20*l**2 + 19*l - 26. What is the remainder when a(q) is divided by 6?
4
Suppose -117*t = -155*t + 4294. Calculate the remainder when t is divided by 51.
11
Calculate the remainder when (-3)/4 + 41361/204 is divided by 29.
28
Let t(k) = -k**2 + 9*k - 13. Let p be t(7). Let j(g) = 21*g**2 + 3*g - 3. Calculate the remainder when j(p) is divided by 9.
3
Let y(v) = v. Suppose 5*x - d - 58 = 9, 0 = -4*x - 2*d + 48. What is the remainder when y(x) is divided by 3?
1
Let b = -174 - -78. What is the remainder when 46 is divided by (0 + (1 - -47))*(-32)/b?
14
Suppose -2*o + 16 = 2*z, 18 + 7 = -5*o. Let n = 118 - 186. Let x = z - n. What is the remainder when x is divided by 21?
18
Let q = 1225 + -1200. Calculate the remainder when 523 is divided by q.
23
Suppose -2*z + 32 = 10. Suppose r - 40 = -r. What is the remainder when r is divided by z?
9
Suppose 5*x + 28 = 5*o - 7, -4*o + 24 = -2*x. Suppose -6 = 3*i, 0 = -o*s - 3*i + 2*i + 58. Calculate the remainder when 19 is divided by s.
7
Suppose -x - 4 = -4*j, -3*x + 197 = -3*j + 173. What is the remainder when 72 is divided by x?
0
Suppose -850 = -448*d + 431*d. Calculate the remainder when 80 is divided by d.
30
Let x(g) = 15*g + 21. What is the remainder when 287 is divided by x(0)?
14
Suppose -j - 2*j = 3. Let b = 6 + j. Let o = -1 + 3. Calculate the remainder when b is divided by o.
1
Let j = -274 + 338. Calculate the remainder when 381 is divided by j.
61
Suppose v = -5*p + p + 2, -2*v + 3*p = -48. Calculate the remainder when 499 is divided by v.
13
Let p = 249 + -248. Calculate the remainder when 43 is divided by p.
0
Suppose -2*j - 15 = -87. Let h = j + -33. Suppose -3*y - i = -51, -h*y - 3*i - 9 = -60. What is the remainder when 49 is divided by y?
15
Let x = 828 + -815. What is the remainder when 129 is divided by x?
12
Let n = 34 + -32. Suppose 6 = -n*s, 3*u - s - 2*s = 39. What is the remainder when 26 is divided by u?
6
Let y = 31 - 76. Let j = 51 - y. Calculate the remainder when j is divided by 50.
46
Suppose 1 + 37 = 2*d. Let g = -588 + 599. Calculate the remainder when d is divided by g.
8
Suppose 23*u = 6*u + 612. Calculate the remainder when 172 is divided by u.
28
Suppose -15*n - n + 48 = 0. Calculate the remainder when 25 is divided by n.
1
Let d = 4 + 2. Calculate the remainder when ((-30)/(-3) + -16)*14/(-3) is divided by d.
4
Let m = 598 + -577. Suppose 0 = 3*i + o - 0*o - 433, 717 = 5*i + 4*o. What is the remainder when i is divided by m?
19
Let z = 142 + -254. Suppose -708 = -6*q - 112*q. What is the remainder when ((-3)/(-2))/((-6)/z) is divided by q?
4
Suppose 19*v - 2072 = -18*v. What is the remainder when v is divided by 21?
14
Suppose 3*m = -4*h + 50, 5*m = m + 2*h + 30. What is the remainder when 3 is divided by 14/m - (-2)/50*-10?
0
Let y(x) = 2*x**3 - 15*x**2 - 5*x - 2. Calculate the remainder when 63 is divided by y(8).
19
Let s(r) = -r**3 - 17*r**2 - 17*r + 55. What is the remainder when 211 is divided by s(-16)?
69
Let v be (-6)/(-9)*-9 + 0. Calculate the remainder when ((-4)/v)/((-4)/(-78)) is divided by 5.
3
Let z(y) be the third derivative of 1/120*y**6 - 2*y**3 - 3*y**2 - 2/15*y**5 + 0 + 0*y + 1/12*y**4. What is the remainder when 9 is divided by z(8)?
1
Let g be (2 + -8)*(-100)/(-30). Calculate the remainder when (-15)/g + 1 + 181/4 is divided by (-2)/(-6) + 50/3.
13
Let c(s) = 8*s**2 + 14*s + 4. Calculate the remainder when 119 is divided by c(-2).
7
Let q = 1598 + -1472. What is the remainder when q is divided by 24?
6
Let l(q) = -333*q - 22. Calculate the remainder when l(-1) is divided by 13.
12
Let n(u) = -6*u - 3. Let a be n(3). Let y = 6 - -24. Calculate the remainder when y is divided by 4/14 - 225/a.
8
Let m = -30 + 80. Let w = 97 + -80. Calculate the remainder when m is divided by w.
16
Let j(x) = -x**3 - x**2 + x + 3.