[/quote]
,
that satisfy 
and![\[
f(f(n)) = f(f(n+2)+2) = n
\]](http://latex.artofproblemsolving.com/4/d/8/4d8d7420e51a7529996473badd8a4e9976c2f01a.png)
for all integers 
.
(i dont remember exactly if it was 8032038 or some other number, so correct me on this)
(i posted this at 12:29) lol
?
such that: 
.
be positive real numbers such that 
Prove that we have![\[(a+b)(b+c)(c+a)\geq 8.\]](http://latex.artofproblemsolving.com/2/a/6/2a63f19de634fce70ff4ebc02ad13d442a20c378.png)
such that 
Prove that 
with the property that ![\[f(x-f(y))=f(f(x))-f(y)-1\]](http://latex.artofproblemsolving.com/f/2/5/f25cc1e8ae0be1fd02b347fd94be4fab88af1d46.png)
holds for all 
.
be a function such that
for all 
.
.
be a function such that
for all 
.
.
such that for all 
be the set of real numbers. Find all functions 
where there exist a real constant 
such that 
holds for all reals 
,
,
that satisfy 
.
with its center 
.
and one moving point 
on 
is 
.
is a fixed point on 
intersect
,
intersects 
at 
.
when 
Y by megarnie, Bradygho, Arrowhead575, Bratin_Dasgupta, awesomehuman, Lilathebee, Gacac, SuperJJ, KLBBC, meliodas_1234, mathking999, akasht, HWenslawski, hurdler
9Poll:
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Update: Please use the forum and answer the poll questions there!
Hi AoPS,
I originally posted this here, but I moved it to peer-to-peer programs. You can view it there. I'm posting it here so it can reach more people, but let me know if this isn't allowed.
The post:
I'm thinking of creating a project. Here's an overview.
I enjoy Codeforces (http://www.codeforces.com) contests because they are frequent (there is one per week), you get a rating to track your progress, you have more time to think about the problems, and it isn't a huge time commitment.
That is why I am thinking of creating a math version of Codeforces. There might be a few contests per month (probably not one per week), and people can work together to write a contest (similar to Polygon on Codeforces) and propose it to a moderator. Each contest will probably be 5 or so problems in 1-2 hours, similar to Codeforces. After a contest, users can get a rating. I'm thinking of making the problems Medium AIME to Harder AIME level. Update: We can also host mock contests on this website, and the problems can be of easier difficulty.
I'm thinking of building this using django, but it is a lot of features to implement. I'll make the code open source and available on Github
If you have development experience, let me know by PMing or posting here since you can help me! Update: I feel it is difficult to collaborate on this project, so I changed my mind on getting help 
But, I may need help later on, and I'll post updates (maybe I'll create a forum soon).
Let me know what you think by responding to the poll. Also, feel free to leave thoughts down below. I can probably explain this better.
Thanks!
mathmastersd
Hi AoPS,
I originally posted this here, but I moved it to peer-to-peer programs. You can view it there. I'm posting it here so it can reach more people, but let me know if this isn't allowed.
The post:
I'm thinking of creating a project. Here's an overview.
I enjoy Codeforces (http://www.codeforces.com) contests because they are frequent (there is one per week), you get a rating to track your progress, you have more time to think about the problems, and it isn't a huge time commitment.
That is why I am thinking of creating a math version of Codeforces. There might be a few contests per month (probably not one per week), and people can work together to write a contest (similar to Polygon on Codeforces) and propose it to a moderator. Each contest will probably be 5 or so problems in 1-2 hours, similar to Codeforces. After a contest, users can get a rating. I'm thinking of making the problems Medium AIME to Harder AIME level. Update: We can also host mock contests on this website, and the problems can be of easier difficulty.
I'm thinking of building this using django, but it is a lot of features to implement. I'll make the code open source and available on Github
But, I may need help later on, and I'll post updates (maybe I'll create a forum soon).Let me know what you think by responding to the poll. Also, feel free to leave thoughts down below. I can probably explain this better.
Thanks!
mathmastersd
This post has been edited 5 times. Last edited by mathmastersd, Feb 25, 2022, 2:10 AM
