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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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Goals for 2025-2026
Airbus320-214   87
N 12 minutes ago by orangebear
Please write down your goal/goals for competitions here for 2025-2026.
87 replies
1 viewing
Airbus320-214
Yesterday at 8:00 AM
orangebear
12 minutes ago
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Help me this problem. Thank you
illybest   3
N an hour ago by jasperE3
Find f: R->R such that
f( xy + f(z) ) = (( xf(y) + yf(x) )/2) + z
3 replies
illybest
Today at 11:05 AM
jasperE3
an hour ago
J
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Jane street swag package? USA(J)MO
arfekete   25
N an hour ago by rhydon516
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.
25 replies
arfekete
May 7, 2025
rhydon516
an hour ago
J
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9 JMO<200?
DreamineYT   3
N 2 hours ago by imbadatmath1233
Just wanted to ask
3 replies
DreamineYT
May 10, 2025
imbadatmath1233
2 hours ago
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[Signups Now!] - Inaugural Academy Math Tournament
elements2015   0
2 hours ago
Hello!

Pace Academy, from Atlanta, Georgia, is thrilled to host our Inaugural Academy Math Tournament online through Saturday, May 31.

AOPS students are welcome to participate online, as teams or as individuals (results will be reported separately for AOPS and Georgia competitors). The difficulty of the competition ranges from early AMC to mid-late AIME, and is 2 hours long with multiple sections. The format is explained in more detail below. If you just want to sign up, here's the link:

https://forms.gle/ih548axqQ9qLz3pk7

If participating as a team, each competitor must sign up individually and coordinate team names!

Detailed information below:

Divisions & Teams
[list]
[*] Junior Varsity: Students in 10th grade or below who are enrolled in Algebra 2 or below.
[*] Varsity: All other students.
[*] Teams of up to four students compete together in the same division.
[list]
[*] (If you have two JV‑eligible and two Varsity‑eligible students, you may enter either two teams of two or one four‑student team in Varsity.)
[*] You may enter multiple teams from your school in either division.
[*] Teams need not compete at the same time. Each individual will complete the test alone, and team scores will be the sum of individual scores.
[/list]
[/list]
Competition Format
Both sections—Sprint and Challenge—will be administered consecutively in a single, individually completed 120-minute test. Students may allocate time between the sections however they wish to.

[list=1]
[*] Sprint Section
[list]
[*] 25 multiple‑choice questions (five choices each)
[*] recommended 2 minutes per question
[*] 6 points per correct answer; no penalty for guessing
[/list]

[*] Challenge Section
[list]
[*] 18 open‑ended questions
[*] answers are integers between 1 and 10,000
[*] recommended 3 or 4 minutes per question
[*] 8 points each
[/list]
[/list]
You may use blank scratch/graph paper, rulers, compasses, protractors, and erasers. No calculators are allowed on this examination.

Awards & Scoring
[list]
[*] There are no cash prizes.
[*] Team Awards: Based on the sum of individual scores (four‑student teams have the advantage). Top 8 teams in each division will be recognized.
[*] Individual Awards: Top 8 individuals in each division, determined by combined Sprint + Challenge scores, will receive recognition.
[/list]
How to Sign Up
Please have EACH STUDENT INDIVIDUALLY reserve a 120-minute window for your team's online test in THIS GOOGLE FORM:
https://forms.gle/ih548axqQ9qLz3pk7
EACH STUDENT MUST REPLY INDIVIDUALLY TO THE GOOGLE FORM.
You may select any slot from now through May 31, weekdays or weekends. You will receive an email with the questions and a form for answers at the time you receive the competition. There will be a 15-minute grace period for entering answers after the competition.
0 replies
elements2015
2 hours ago
0 replies
J
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line JK of intersection points of 2 lines passes through the midpoint of BC
parmenides51   4
N 2 hours ago by reni_wee
Source: Rioplatense Olympiad 2018 level 3 p4
Let $ABC$ be an acute triangle with $AC> AB$. be $\Gamma$ the circumcircle circumscribed to the triangle $ABC$ and $D$ the midpoint of the smallest arc $BC$ of this circle. Let $E$ and $F$ points of the segments $AB$ and $AC$ respectively such that $AE = AF$. Let $P \neq A$ be the second intersection point of the circumcircle circumscribed to $AEF$ with $\Gamma$. Let $G$ and $H$ be the intersections of lines $PE$ and $PF$ with $\Gamma$ other than $P$, respectively. Let $J$ and $K$ be the intersection points of lines $DG$ and $DH$ with lines $AB$ and $AC$ respectively. Show that the $JK$ line passes through the midpoint of $BC$
4 replies
parmenides51
Dec 11, 2018
reni_wee
2 hours ago
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AGM Problem(Turkey JBMO TST 2025)
HeshTarg   3
N 2 hours ago by ehuseyinyigit
Source: Turkey JBMO TST Problem 6
Given that $x, y, z > 1$ are real numbers, find the smallest possible value of the expression:
$\frac{x^3 + 1}{(y-1)(z+1)} + \frac{y^3 + 1}{(z-1)(x+1)} + \frac{z^3 + 1}{(x-1)(y+1)}$
3 replies
HeshTarg
3 hours ago
ehuseyinyigit
2 hours ago
J
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Shortest number theory you might've seen in your life
AlperenINAN   8
N 2 hours ago by HeshTarg
Source: Turkey JBMO TST 2025 P4
Let $p$ and $q$ be prime numbers. Prove that if $pq(p+1)(q+1)+1$ is a perfect square, then $pq + 1$ is also a perfect square.
8 replies
AlperenINAN
Yesterday at 7:51 PM
HeshTarg
2 hours ago
J
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Squeezing Between Perfect Squares and Modular Arithmetic(JBMO TST Turkey 2025)
HeshTarg   3
N 2 hours ago by BrilliantScorpion85
Source: Turkey JBMO TST Problem 4
If $p$ and $q$ are primes and $pq(p+1)(q+1)+1$ is a perfect square, prove that $pq+1$ is a perfect square.
3 replies
HeshTarg
3 hours ago
BrilliantScorpion85
2 hours ago
J
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A bit too easy for P2(Turkey 2025 JBMO TST)
HeshTarg   0
2 hours ago
Source: Turkey 2025 JBMO TST P2
Let $n$ be a positive integer. Aslı and Zehra are playing a game on an $n \times n$ chessboard. Initially, $10n^2$ stones are placed on the squares of the board. In each move, Aslı chooses a row or a column; Zehra chooses a row or a column. The number of stones in each square of the chosen row or column must change such that the difference between the number of stones in a square with the most stones and a square with the fewest stones in that same row or column is at most 1. For which values of $n$ can Aslı guarantee that after a finite number of moves, all squares on the board will have an equal number of stones, regardless of the initial distribution?
0 replies
HeshTarg
2 hours ago
0 replies
J
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D1030 : An inequalitie
Dattier   0
2 hours ago
Source: les dattes à Dattier
Let $0<a<b<c<d$ reals, and $n \in \mathbb N^*$.

Is it true that $a^n(b-a)+b^n(c-b)+c^n(d-c) \leq \dfrac {d^{n+1}}{n+1}$ ?
0 replies
Dattier
2 hours ago
0 replies
J
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Long and wacky inequality
Royal_mhyasd   0
3 hours ago
Source: Me
Let $x, y, z$ be positive real numbers such that $x^2 + y^2 + z^2 = 12$. Find the minimum value of the following sum :
$$\sum_{cyc}\frac{(x^3+2y)^3}{3x^2yz - 16z - 8yz + 6x^2z}$$knowing that the denominators are positive real numbers.
0 replies
Royal_mhyasd
3 hours ago
0 replies
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Vietnamese national Olympiad 2007, problem 4
hien   16
N 3 hours ago by de-Kirschbaum
Given a regular 2007-gon. Find the minimal number $k$ such that: Among every $k$ vertexes of the polygon, there always exists 4 vertexes forming a convex quadrilateral such that 3 sides of the quadrilateral are also sides of the polygon.
16 replies
hien
Feb 8, 2007
de-Kirschbaum
3 hours ago
J
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2n^2+4n-1 and 3n+4 have common powers
bin_sherlo   4
N 3 hours ago by CM1910
Source: Türkiye 2025 JBMO TST P5
Find all positive integers $n$ such that a positive integer power of $2n^2+4n-1$ equals to a positive integer power of $3n+4$.
4 replies
bin_sherlo
Yesterday at 7:13 PM
CM1910
3 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
576 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
966 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
240 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
1430 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
318 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
633 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
809 posts
MathRook7817
#14 h  Apr 23, 2025, 2:16 PM
Y by
RIP MathRook7817
Z Y
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NoSignOfTheta
1742 posts
NoSignOfTheta
#15 h  Apr 23, 2025, 2:23 PM
Y by
RIP aopsonline2020888
Z Y
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ethan2011
319 posts
ethan2011
#16 h  Apr 23, 2025, 2:28 PM • 1 Y
Y by mathfan2020
RIP mathfan2020
Z Y
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TiguhBabeHwo
494 posts
TiguhBabeHwo
#17 h  Apr 23, 2025, 2:50 PM • 1 Y
Y by mathfan2020
RIP ethan2011
Z Y
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MathPerson12321
3799 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
1948 posts
dragoon
#21 h  Apr 23, 2025, 3:14 PM • 1 Y
Y by bjump
rip bjump :( :(
Z Y
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MathRook7817
809 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
1014 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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