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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
May 1, 2025
May is an exciting month! National MATHCOUNTS is the second week of May in Washington D.C. and our Founder, Richard Rusczyk will be presenting a seminar, Preparing Strong Math Students for College and Careers, on May 11th.

Are you interested in working towards MATHCOUNTS and don’t know where to start? We have you covered! If you have taken Prealgebra, then you are ready for MATHCOUNTS/AMC 8 Basics. Already aiming for State or National MATHCOUNTS and harder AMC 8 problems? Then our MATHCOUNTS/AMC 8 Advanced course is for you.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]May 21st, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 2 Math Jam, Problems 5 and 6, Canada/USA Mathcamp staff will discuss solutions to Problems 5 and 6 of the 2025 Mathcamp Qualifying Quiz![/list]
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0 replies
jlacosta
May 1, 2025
0 replies
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k i Adding contests to the Contest Collections
dcouchman   1
N Apr 5, 2023 by v_Enhance
Want to help AoPS remain a valuable Olympiad resource? Help us add contests to AoPS's Contest Collections.

Find instructions and a list of contests to add here: https://artofproblemsolving.com/community/c40244h1064480_contests_to_add
1 reply
dcouchman
Sep 9, 2019
v_Enhance
Apr 5, 2023
J
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k i Zero tolerance
ZetaX   49
N May 4, 2019 by NoDealsHere
Source: Use your common sense! (enough is enough)
Some users don't want to learn, some other simply ignore advises.
But please follow the following guideline:


To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.


More specifically:

For new threads:


a) Good, meaningful title:
The title has to say what the problem is about in best way possible.
If that title occured already, it's definitely bad. And contest names aren't good either.
That's in fact a requirement for being able to search old problems.

Examples:
Bad titles:
- "Hard"/"Medium"/"Easy" (if you find it so cool how hard/easy it is, tell it in the post and use a title that tells us the problem)
- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
- "Fibonacci" (there are millions of Fibonacci problems out there, all posted and named the same...)
- "Chinese TST 2003" (does this say anything about the problem¿)
Good titles:
- "On divisors of a³+2b³+4c³-6abc"
- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"


b) Use search function:
Before posting a "new" problem spend at least two, better five, minutes to look if this problem was posted before. If it was, don't repost it. If you have anything important to say on topic, post it in one of the older threads.
If the thread is locked cause of this, use search function.

Update (by Amir Hossein). The best way to search for two keywords in AoPS is to input
[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".


c) Good problem statement:
Some recent really bad post was:
[quote]$lim_{n\to 1}^{+\infty}\frac{1}{n}-lnn$[/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.


For answers to already existing threads:


d) Of any interest and with content:
Don't post things that are more trivial than completely obvious. For example, if the question is to solve $x^{3}+y^{3}=z^{3}$, do not answer with "$x=y=z=0$ is a solution" only. Either you post any kind of proof or at least something unexpected (like "$x=1337, y=481, z=42$ is the smallest solution). Someone that does not see that $x=y=z=0$ is a solution of the above without your post is completely wrong here, this is an IMO-level forum.
Similar, posting "I have solved this problem" but not posting anything else is not welcome; it even looks that you just want to show off what a genius you are.

e) Well written and checked answers:
Like c) for new threads, check your solutions at least twice for mistakes. And after sending, read it again and use the Edit-Button if necessary to correct errors.



To repeat it: ALWAYS USE YOUR COMMON SENSE IF POSTING!


Everything definitely out of range of common sense will be locked or deleted (exept for new users having less than about 42 posts, they are newbies and need/get some time to learn).

The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
49 replies
ZetaX
Feb 27, 2007
NoDealsHere
May 4, 2019
J
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camp/class recommendations for incoming freshman
walterboro   1
N 44 minutes ago by RainbowSquirrel53B
hi guys, i'm about to be an incoming freshman, does anyone have recommendations for classes to take next year and camps this summer? i am sure that i can aime qual but not jmo qual yet. ty
1 reply
walterboro
3 hours ago
RainbowSquirrel53B
44 minutes ago
J
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Cyclic ine
m4thbl3nd3r   1
N 2 hours ago by arqady
Let $a,b,c>0$ such that $a^2+b^2+c^2=3$. Prove that $$\sum \frac{a^2}{b}+abc \ge 4$$
1 reply
m4thbl3nd3r
6 hours ago
arqady
2 hours ago
J
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Non-homogenous Inequality
Adywastaken   7
N 3 hours ago by ehuseyinyigit
Source: NMTC 2024/7
$a, b, c\in \mathbb{R_{+}}$ such that $ab+bc+ca=3abc$. Show that $a^2b+b^2c+c^2a \ge 2(a+b+c)-3$. When will equality hold?
7 replies
Adywastaken
6 hours ago
ehuseyinyigit
3 hours ago
J
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FE with devisibility
fadhool   2
N 3 hours ago by ATM_
if when i solve an fe that is defined in the set of positive integer i found m|f(m) can i set f(m) =km such that k is not constant and of course it depends on m but after some work i find k=c st c is constant is this correct
2 replies
fadhool
5 hours ago
ATM_
3 hours ago
J
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Japan MO Finals 2023
parkjungmin   2
N 3 hours ago by parkjungmin
It's hard. Help me
2 replies
parkjungmin
Yesterday at 2:35 PM
parkjungmin
3 hours ago
J
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Iranian geometry configuration
Assassino9931   2
N 3 hours ago by Captainscrubz
Source: Al-Khwarizmi Junior International Olympiad 2025 P7
Let $ABCD$ be a cyclic quadrilateral with circumcenter $O$, such that $CD$ is not a diameter of its circumcircle. The lines $AD$ and $BC$ intersect at point $P$, so that $A$ lies between $D$ and $P$, and $B$ lies between $C$ and $P$. Suppose triangle $PCD$ is acute and let $H$ be its orthocenter. The points $E$ and $F$ on the lines $BC$ and $AD$, respectively, are such that $BD \parallel HE$ and $AC\parallel HF$. The line through $E$, perpendicular to $BC$, intersects $AD$ at $L$, and the line through $F$, perpendicular to $AD$, intersects $BC$ at $K$. Prove that the points $K$, $L$, $O$ are collinear.

Amir Parsa Hosseini Nayeri, Iran
2 replies
Assassino9931
Today at 9:39 AM
Captainscrubz
3 hours ago
J
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Jane street swag package? USA(J)MO
arfekete   18
N 3 hours ago by Pengu14
Hey! People are starting to get their swag packages from Jane Street for qualifying for USA(J)MO, and after some initial discussion on what we got, people are getting different things. Out of curiosity, I was wondering how they decide who gets what.
Please enter the following info:

- USAMO or USAJMO
- Grade
- Score
- Award/Medal/HM
- MOP (yes or no, if yes then color)
- List of items you got in your package

I will reply with my info as an example.
18 replies
arfekete
May 7, 2025
Pengu14
3 hours ago
J
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9 JMO<200?
DreamineYT   1
N 4 hours ago by Shan3t
Just wanted to ask
1 reply
DreamineYT
4 hours ago
Shan3t
4 hours ago
J
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9 ARML Location
deduck   42
N 4 hours ago by llddmmtt1
UNR -> Nevada
St Anselm -> New Hampshire
PSU -> Pennsylvania
WCU -> North Carolina


Put your USERNAME in the list ONLY IF YOU WANT TO!!!! !!!!!

I'm going to UNR if anyone wants to meetup!!! :D

Current List:
Iowa
UNR
PSU
St Anselm
WCU
42 replies
deduck
May 6, 2025
llddmmtt1
4 hours ago
J
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f(m + n) >= f(m) + f(f(n)) - 1
orl   30
N 4 hours ago by ezpotd
Source: IMO Shortlist 2007, A2, AIMO 2008, TST 2, P1, Ukrainian TST 2008 Problem 8
Consider those functions $ f: \mathbb{N} \mapsto \mathbb{N}$ which satisfy the condition
\[ f(m + n) \geq f(m) + f(f(n)) - 1 \]
for all $ m,n \in \mathbb{N}.$ Find all possible values of $ f(2007).$

Author: Nikolai Nikolov, Bulgaria
30 replies
orl
Jul 13, 2008
ezpotd
4 hours ago
J
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Classic Diophantine
Adywastaken   3
N 4 hours ago by Adywastaken
Source: NMTC 2024/6
Find all natural number solutions to $3^x-5^y=z^2$.
3 replies
Adywastaken
6 hours ago
Adywastaken
4 hours ago
J
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Add d or Divide by a
MarkBcc168   25
N 4 hours ago by Entei
Source: ISL 2022 N3
Let $a > 1$ be a positive integer and $d > 1$ be a positive integer coprime to $a$. Let $x_1=1$, and for $k\geq 1$, define
$$x_{k+1} = \begin{cases} x_k + d &\text{if } a \text{ does not divide } x_k \\ x_k/a & \text{if } a \text{ divides } x_k \end{cases}$$Find, in terms of $a$ and $d$, the greatest positive integer $n$ for which there exists an index $k$ such that $x_k$ is divisible by $a^n$.
25 replies
MarkBcc168
Jul 9, 2023
Entei
4 hours ago
J
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Alice and Bob play, 8x8 table, white red black, minimum n for victory
parmenides51   14
N 4 hours ago by Ilikeminecraft
Source: JBMO Shortlist 2018 C3
The cells of a $8 \times 8$ table are initially white. Alice and Bob play a game. First Alice paints $n$ of the fields in red. Then Bob chooses $4$ rows and $4$ columns from the table and paints all fields in them in black. Alice wins if there is at least one red field left. Find the least value of $n$ such that Alice can win the game no matter how Bob plays.
14 replies
parmenides51
Jul 22, 2019
Ilikeminecraft
4 hours ago
J
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GEOMETRY GEOMETRY GEOMETRY
Kagebaka   71
N 5 hours ago by bin_sherlo
Source: IMO 2021/3
Let $D$ be an interior point of the acute triangle $ABC$ with $AB > AC$ so that $\angle DAB = \angle CAD.$ The point $E$ on the segment $AC$ satisfies $\angle ADE =\angle BCD,$ the point $F$ on the segment $AB$ satisfies $\angle FDA =\angle DBC,$ and the point $X$ on the line $AC$ satisfies $CX = BX.$ Let $O_1$ and $O_2$ be the circumcenters of the triangles $ADC$ and $EXD,$ respectively. Prove that the lines $BC, EF,$ and $O_1O_2$ are concurrent.
71 replies
Kagebaka
Jul 20, 2021
bin_sherlo
5 hours ago
J
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J
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k RIP BS2012
gavinhaominwang   22
N Apr 23, 2025 by torch
Rip BS2012, I hope you come back next year stronger and prove everyone wrong.
22 replies
gavinhaominwang
Apr 23, 2025
torch
Apr 23, 2025
J
RIP BS2012
G H J
Reveal topic tags
L
G H BBookmark kLocked kLocked NReply
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gavinhaominwang
92 posts
gavinhaominwang
#1 h  Apr 23, 2025, 12:32 AM • 4 Y
Y by PikaPika999, bwu_2022, scannose, bjump
Rip BS2012, I hope you come back next year stronger and prove everyone wrong.
Z Y
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maxamc
574 posts
maxamc
#2 h  Apr 23, 2025, 12:33 AM • 1 Y
Y by PikaPika999
Also rip hashbrown2009
Z Y
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Andyluo
962 posts
Andyluo
#3 h  Apr 23, 2025, 2:43 AM • 4 Y
Y by Mathandski, bjump, megarnie, KevinYang2.71
RIP Bjump, you got this next year tho fr
Z Y
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mathkiddus
234 posts
mathkiddus
#4 h  Apr 23, 2025, 2:55 AM • 2 Y
Y by mathfan2020, bjump
also RIP dogeA,
Z Y
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vincentwant
1388 posts
vincentwant
#5 h  Apr 23, 2025, 3:36 AM • 3 Y
Y by mathfan2020, Ilikeminecraft, bjump
RIP a_smart_alecks
Z Y
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ThoughtfulGorilla10
27 posts
ThoughtfulGorilla10
#6 h  Apr 23, 2025, 3:40 AM
Y by
What do i do here
Z Y
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mathfan2020
351 posts
mathfan2020
#7 h  Apr 23, 2025, 3:56 AM • 1 Y
Y by bjump
RIP PenguinMoosey
Z Y
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PEKKA
1848 posts
PEKKA
#8 h  Apr 23, 2025, 4:23 AM • 1 Y
Y by bjump
RIP llmmddtt1
Z Y
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zhoujef000
317 posts
zhoujef000
#9 h  Apr 23, 2025, 4:26 AM • 4 Y
Y by bjump, megarnie, mathfan2020, KnowingAnt
RIP KnowingAnt
Z Y
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Alpaca31415
12 posts
Alpaca31415
#10 h  Apr 23, 2025, 4:41 AM • 1 Y
Y by bjump
rip me fr I suck
Z Y
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Ilikeminecraft
627 posts
Ilikeminecraft
#11 h  Apr 23, 2025, 4:55 AM • 2 Y
Y by bjump, mathfan2020
rip impromptuA
Z Y
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deduck
238 posts
deduck
#12 h  Apr 23, 2025, 5:24 AM • 4 Y
Y by bjump, bachkieu, mathfan2020, ninjaforce
rip math4life2020
Z Y
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KevinYang2.71
427 posts
KevinYang2.71
#13 h  Apr 23, 2025, 6:40 AM • 4 Y
Y by Mathandski, bjump, megarnie, deduck
rip deduck
Z Y
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MathRook7817
689 posts
MathRook7817
#14 h  Apr 23, 2025, 2:16 PM
Y by
RIP MathRook7817
Z Y
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NoSignOfTheta
1740 posts
NoSignOfTheta
#15 h  Apr 23, 2025, 2:23 PM
Y by
RIP aopsonline2020888
Z Y
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ethan2011
318 posts
ethan2011
#16 h  Apr 23, 2025, 2:28 PM • 1 Y
Y by mathfan2020
RIP mathfan2020
Z Y
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TiguhBabeHwo
469 posts
TiguhBabeHwo
#17 h  Apr 23, 2025, 2:50 PM • 1 Y
Y by mathfan2020
RIP ethan2011
Z Y
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MathPerson12321
3750 posts
MathPerson12321
#18 h  Apr 23, 2025, 2:53 PM
Y by
rip everyone but we dont need a separate thread for this
/req lock

you all will make it next yr!
Z Y
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bachkieu
137 posts
bachkieu
#19 h  Apr 23, 2025, 3:01 PM
Y by
rip tiguhbabehwo 232
Z Y
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Mathdreams
1472 posts
Mathdreams
#20 h  Apr 23, 2025, 3:13 PM • 1 Y
Y by bjump
RIP bjump :(
Z Y
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dragoon
1947 posts
dragoon
#21 h  Apr 23, 2025, 3:14 PM • 1 Y
Y by bjump
rip bjump :( :(
Z Y
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MathRook7817
689 posts
MathRook7817
#22 h  Apr 23, 2025, 3:22 PM
Y by
RIP everyone who didnt make JMO (me)
Z Y
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torch
1013 posts
torch
#23 h  Apr 23, 2025, 3:23 PM • 2 Y
Y by bjump, KevinYang2.71
rip bjump :(
Z Y
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=
a