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H
k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Today at 3:18 PM
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

Looking for summer camps in math and language arts? Be sure to check out the video-based summer camps offered at the Virtual Campus that are 2- to 4-weeks in duration. 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 events:
[list][*]April 3rd (Webinar), 4pm PT/7:00pm ET, Learning with AoPS: Perspectives from a Parent, Math Camp Instructor, and University Professor
[*]April 8th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS State Discussion
April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
Today at 3:18 PM
0 replies
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k a My Retirement & New Leadership at AoPS
rrusczyk   1571
N Mar 26, 2025 by SmartGroot
I write today to announce my retirement as CEO from Art of Problem Solving. When I founded AoPS 22 years ago, I never imagined that we would reach so many students and families, or that we would find so many channels through which we discover, inspire, and train the great problem solvers of the next generation. I am very proud of all we have accomplished and I’m thankful for the many supporters who provided inspiration and encouragement along the way. I'm particularly grateful to all of the wonderful members of the AoPS Community!

I’m delighted to introduce our new leaders - Ben Kornell and Andrew Sutherland. Ben has extensive experience in education and edtech prior to joining AoPS as my successor as CEO, including starting like I did as a classroom teacher. He has a deep understanding of the value of our work because he’s an AoPS parent! Meanwhile, Andrew and I have common roots as founders of education companies; he launched Quizlet at age 15! His journey from founder to MIT to technology and product leader as our Chief Product Officer traces a pathway many of our students will follow in the years to come.

Thank you again for your support for Art of Problem Solving and we look forward to working with millions more wonderful problem solvers in the years to come.

And special thanks to all of the amazing AoPS team members who have helped build AoPS. We’ve come a long way from here:IMAGE
1571 replies
rrusczyk
Mar 24, 2025
SmartGroot
Mar 26, 2025
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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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Introducing myself at AoPS, and what's your magic wand?
asuth_asuth   373
N 8 minutes ago by miles888
Hi!

I'm Andrew Sutherland. I'm the new Chief Product Officer at AoPS. As you may have read, Richard is retiring and Ben Kornell and I are working together to lead the company now. I'm leading all the software and digital stuff at AoPS. I just wanted to say hello and introduce myself! I'm really excited to be part of the special community that is AoPS.

Previously, I founded Quizlet as a 15-year-old high school student. I did Course 6 at MIT and then left to lead Quizlet full-time for a total of 14 years. I took a few years off and now I'm doing AoPS! I wrote more about all that on my blog: https://asuth.com/im-joining-aops

I have a question for all of you. If you could wave a magic wand, and change anything about AoPS, what would it be? All suggestions welcome! Thank you.
373 replies
asuth_asuth
Mar 30, 2025
miles888
8 minutes ago
J
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Classic complex number geo
Ciobi_   1
N an hour ago by TestX01
Source: Romania NMO 2025 10.1
Let $M$ be a point in the plane, distinct from the vertices of $\triangle ABC$. Consider $N,P,Q$ the reflections of $M$ with respect to lines $AB, BC$ and $CA$, in this order.
a) Prove that $N, P ,Q$ are collinear if and only if $M$ lies on the circumcircle of $\triangle ABC$.
b) If $M$ does not lie on the circumcircle of $\triangle ABC$ and the centroids of triangles $\triangle ABC$ and $\triangle NPQ$ coincide, prove that $\triangle ABC$ is equilateral.
1 reply
Ciobi_
Today at 12:56 PM
TestX01
an hour ago
J
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The greatest length of a sequence that satisfies a special condition
EmersonSoriano   0
an hour ago
Source: 2018 Peru TST Cono Sur P9
Find the largest possible value of the positive integer $N$ given that there exist positive integers $a_1, a_2, \dots, a_N$ satisfying
$$ a_n = \sqrt{(a_{n-1})^2 + 2018 \, a_{n-2}}\:, \quad \text{for } n = 3,4,\dots,N. $$
0 replies
EmersonSoriano
an hour ago
0 replies
J
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Olympiad Geometry problem-second time posting
kjhgyuio   5
N an hour ago by kjhgyuio
Source: smo problem
In trapezium ABCD,AD is parallel to BC and points E and F are midpoints of AB and DC respectively. If
Area of AEFD/Area of EBCF =√3 + 1/3-√3 and the area of triangle ABD is √3 .find the area of trapezium ABCD
5 replies
kjhgyuio
Today at 1:03 AM
kjhgyuio
an hour ago
J
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Summing the GCD of a number and the divisors of another.
EmersonSoriano   0
2 hours ago
Source: 2018 Peru TST Cono Sur P8
For each pair of positive integers $m$ and $n$, we define $f_m(n)$ as follows:
$$ f_m(n) = \gcd(n, d_1) + \gcd(n, d_2) + \cdots + \gcd(n, d_k), $$where $1 = d_1 < d_2 < \cdots < d_k = m$ are all the positive divisors of $m$. For example,
$f_4(6) = \gcd(6,1) + \gcd(6,2) + \gcd(6,4) = 5$.

$a)\:$ Find all positive integers $n$ such that $f_{2017}(n) = f_n(2017)$.

$b)\:$ Find all positive integers $n$ such that $f_6(n) = f_n(6)$.
0 replies
EmersonSoriano
2 hours ago
0 replies
J
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Sum of whose elements is divisible by p
nntrkien   42
N 2 hours ago by cubres
Source: IMO 1995, Problem 6, Day 2, IMO Shortlist 1995, N6
Let $ p$ be an odd prime number. How many $ p$-element subsets $ A$ of $ \{1,2,\dots,2p\}$ are there, the sum of whose elements is divisible by $ p$?
42 replies
nntrkien
Aug 8, 2004
cubres
2 hours ago
J
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kind of well known?
dotscom26   3
N 2 hours ago by Svenskerhaor
Source: MBL
Let $ y_1, y_2, ..., y_{2025}$ be real numbers satisfying
$ y_1^2 + y_2^2 + \cdots + y_{2025}^2 = 1. $
Find the maximum value of
$ |y_1 - y_2| + |y_2 - y_3| + \cdots + |y_{2025} - y_1|. $

I have seen many problems with the same structure, Id really appreciate if someone could explain which approach is suitable here
3 replies
dotscom26
Yesterday at 4:11 AM
Svenskerhaor
2 hours ago
J
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Locus of a point on the side of a square
EmersonSoriano   0
2 hours ago
Source: 2018 Peru TST Cono Sur P7
Let $ABCD$ be a fixed square and $K$ a variable point on segment $AD$. The square $KLMN$ is constructed such that $B$ is on segment $LM$ and $C$ is on segment $MN$. Let $T$ be the intersection point of lines $LA$ and $ND$. Find the locus of $T$ as $K$ varies along segment $AD$.
0 replies
EmersonSoriano
2 hours ago
0 replies
J
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Chess queens on a cylindrical board
EmersonSoriano   0
2 hours ago
Source: 2018 Peru TST Cono Sur P6
Let $n$ be a positive integer. In an $n \times n$ board, two opposite sides have been joined, forming a cylinder. Determine whether it is possible to place $n$ queens on the board such that no two threaten each other when:

$a)\:$ $n=14$.

$b)\:$ $n=15$.
0 replies
EmersonSoriano
2 hours ago
0 replies
J
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2015 solutions for quotient function!
raxu   48
N 2 hours ago by zuat.e
Source: TSTST 2015 Problem 5
Let $\varphi(n)$ denote the number of positive integers less than $n$ that are relatively prime to $n$. Prove that there exists a positive integer $m$ for which the equation $\varphi(n)=m$ has at least $2015$ solutions in $n$.

Proposed by Iurie Boreico
48 replies
raxu
Jun 26, 2015
zuat.e
2 hours ago
J
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GCD of x^2-y, y^2-z and z^2-x
EmersonSoriano   0
2 hours ago
Source: 2018 Peru TST Cono Sur P5
Find all positive integers $d$ that can be written in the form
$$ d = \gcd(|x^2 - y| , |y^2 - z| , |z^2 - x|), $$where $x, y, z$ are pairwise coprime positive integers such that $x^2 \neq y$, $y^2 \neq z$, and $z^2 \neq x$.
0 replies
EmersonSoriano
2 hours ago
0 replies
J
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k Where to find archived PMs?
Yolandayu   3
N 2 hours ago by Yolandayu
Hi! I didn't know where this should go, so I put it in site support. I am desperate to find where my archived PMs are! I accidentally archived one, because I thought the button was for bookmarking. Could someone please tell me? Thanks!
3 replies
Yolandayu
2 hours ago
Yolandayu
2 hours ago
J
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Can't search in PMs
ChaitraliKA   3
N 3 hours ago by MathDolphin95
Summary of the problem: searching literally anything doesn't give any results
Page URL: https://artofproblemsolving.com/community/search-private
Steps to reproduce:
1. Search literally anything!!! Any key words that you know are obviously present in your PMs. It does not give any search results.
Expected behavior: it should give search results similar to searching in forums
Frequency: every time
Browser(s), including version: chrome
Additional information: I tried on multiple devices
3 replies
1 viewing
ChaitraliKA
Today at 1:04 PM
MathDolphin95
3 hours ago
J
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k April fool Prank Help
MrMustache   5
N 6 hours ago by MrMustache
Hello. My forum was the victim of a harmless but frustrating prank...and I need AoPS admin help to reverse it.



This is my forum. It was previously named 'THE ULTIMATE GAME FORUM'.
https://artofproblemsolving.com/community/category-admin/810735
Somebody on staff renamed it to something else for April Fool's day.

While the name was changed, somebody effectively stole our name by making a new forum titled 'THE ULTIMATE GAME FORUM': https://artofproblemsolving.com/community/category-admin/4277841. They then removed themselves to hide their guilt. Can an admin delete this forum so we can get our name of 6 years back?
5 replies
MrMustache
6 hours ago
MrMustache
6 hours ago
J
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J
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k New reaper game
Squidget   10
N Mar 27, 2025 by Cerberusman
What does this mean?

Is this a glitch
10 replies
Squidget
Mar 26, 2025
Cerberusman
Mar 27, 2025
J
New reaper game
G H J
Reveal topic tags
Reaper
L
G H BBookmark kLocked kLocked NReply
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Squidget
433 posts
Squidget
#1 h  Mar 26, 2025, 10:31 PM
Y by
What does this mean?

Is this a glitch
Attachments:
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Gabrielle.Esther
644 posts
Gabrielle.Esther
#2 h  Mar 26, 2025, 10:33 PM
Y by
if you click on it:
Attachments:
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Aminecraftbear
1382 posts
Aminecraftbear
#3 h  Mar 26, 2025, 10:35 PM • 1 Y
Y by skronkmonster
it starts on april first lol
its some kind of prank
Z Y
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AmethystC
84 posts
AmethystC
#4 h  Mar 26, 2025, 10:36 PM
Y by
It starts on April Fools day, at 3:00 am. The description is: Is this a reaper game idk. Could be a prank/joke
This post has been edited 1 time. Last edited by AmethystC, Mar 26, 2025, 10:37 PM
Z Y
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Aminecraftbear
1382 posts
Aminecraftbear
#5 h  Mar 26, 2025, 10:43 PM
Y by
nah its 3am eastern so it might just be based on midnight pst
Z Y
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FunnyKoala17
133 posts
FunnyKoala17
#6 h  Mar 26, 2025, 10:58 PM
Y by
What is reaper
Z Y
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cookie130
470 posts
cookie130
#7 h  Mar 26, 2025, 11:10 PM • 1 Y
Y by MathPerson12321
bruh if i want to play i cant sleep and will have to play at the cursed time
Z Y
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rhydon516
542 posts
rhydon516
#9 h  Mar 27, 2025, 3:29 AM • 1 Y
Y by c_double_sharp
look up. there's a plane waving a banner saying "gullible."
Z Y
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Demetri
1184 posts
Demetri
#10 h  Mar 27, 2025, 2:22 PM • 1 Y
Y by Exponent11
rhydon516 wrote:
look up. there's a plane waving a banner saying "gullible."
No :)
Great time to start a reaper game lol
Z Y
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skronkmonster
2181 posts
skronkmonster
#11 h  Mar 27, 2025, 2:26 PM • 1 Y
Y by MathPerson12321
The game will probably disappear precisely on April 1st
Z Y
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Cerberusman
307 posts
Cerberusman
#12 h  Mar 27, 2025, 2:31 PM • 2 Y
Y by MathPerson12321, Exponent11
Demetri wrote:
rhydon516 wrote:
look up. there's a plane waving a banner saying "gullible."
No :)
Great time to start a reaper game lol

the "goodbye richard" reaper game :rotfl:
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