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k a My Retirement & New Leadership at AoPS
rrusczyk   1573
N 5 hours ago 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
1573 replies
rrusczyk
Mar 24, 2025
SmartGroot
5 hours ago
J
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k a March Highlights and 2025 AoPS Online Class Information
jlacosta   0
Mar 2, 2025
March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/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
Mar 2, 2025
0 replies
J
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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
H
Just wondering.
EaZ_Shadow   3
N 24 minutes ago by Craftybutterfly
Why isnt adjones admin no more?
3 replies
EaZ_Shadow
40 minutes ago
Craftybutterfly
24 minutes ago
J
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New reaper game
Squidget   7
N an hour ago by rhydon516
What does this mean?

Is this a glitch
7 replies
Squidget
6 hours ago
rhydon516
an hour ago
J
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Aops Glitching
jkim0656   12
N an hour ago by ARWonder
Hi everyone!
I noticed that every time i try to answer a question and get it right/wrong the screen freezes and i can't scroll anymore...
100%
Chrome
PC
do u guys have the same issue?
I don't think it is like this for Alcumus but for normal class problems it does
*the challenge problems

EDIT: sry for the terrible title :blush:
12 replies
jkim0656
2 hours ago
ARWonder
an hour ago
J
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Collinearity with orthocenter
liberator   179
N an hour ago by bjump
Source: IMO 2013 Problem 4
Let $ABC$ be an acute triangle with orthocenter $H$, and let $W$ be a point on the side $BC$, lying strictly between $B$ and $C$. The points $M$ and $N$ are the feet of the altitudes from $B$ and $C$, respectively. Denote by $\omega_1$ is the circumcircle of $BWN$, and let $X$ be the point on $\omega_1$ such that $WX$ is a diameter of $\omega_1$. Analogously, denote by $\omega_2$ the circumcircle of triangle $CWM$, and let $Y$ be the point such that $WY$ is a diameter of $\omega_2$. Prove that $X,Y$ and $H$ are collinear.

Proposed by Warut Suksompong and Potcharapol Suteparuk, Thailand
179 replies
liberator
Jan 4, 2016
bjump
an hour ago
J
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Square in hexagon
TheUltimate123   7
N 2 hours ago by MathLuis
Source: ELMO Shortlist 2023 G6
Let \(ABCDEF\) be a convex cyclic hexagon such that quadrilateral \(ABDF\) is a square, and the incenter of \(\triangle ACE\) lines on \(\overline{BF}\). Diagonal \(CE\) intersects diagonals \(BD\) and \(DF\) at points \(P\) and \(Q\), respectively. Prove that the circumcircle of \(\triangle DPQ\) is tangent to \(\overline{BF}\).

Proposed by Elliott Liu
7 replies
TheUltimate123
Jun 29, 2023
MathLuis
2 hours ago
J
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IMO 2014 Problem 4
ipaper   167
N 2 hours ago by bjump
Let $P$ and $Q$ be on segment $BC$ of an acute triangle $ABC$ such that $\angle PAB=\angle BCA$ and $\angle CAQ=\angle ABC$. Let $M$ and $N$ be the points on $AP$ and $AQ$, respectively, such that $P$ is the midpoint of $AM$ and $Q$ is the midpoint of $AN$. Prove that the intersection of $BM$ and $CN$ is on the circumference of triangle $ABC$.

Proposed by Giorgi Arabidze, Georgia.
167 replies
ipaper
Jul 9, 2014
bjump
2 hours ago
J
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Square construction
TheUltimate123   5
N 2 hours ago by MathLuis
Source: ELMO Shortlist 2023 G5
Let \(ABC\) be an acute triangle with circumcircle \(\omega\). Let \(P\) be a variable point on the arc \(BC\) of \(\omega\) not containing \(A\). Squares \(BPDE\) and \(PCFG\) are constructed such that \(A\), \(D\), \(E\) lie on the same side of line \(BP\) and \(A\), \(F\), \(G\) lie on the same side of line \(CP\). Let \(H\) be the intersection of lines \(DE\) and \(FG\). Show that as \(P\) varies, \(H\) lies on a fixed circle.

Proposed by Karthik Vedula
5 replies
TheUltimate123
Jun 29, 2023
MathLuis
2 hours ago
J
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Maximum of Incenter-triangle
mpcnotnpc   3
N 3 hours ago by mpcnotnpc
Triangle $\Delta ABC$ has side lengths $a$, $b$, and $c$. Select a point $P$ inside $\Delta ABC$, and construct the incenters of $\Delta PAB$, $\Delta PBC$, and $\Delta PAC$ and denote them as $I_A$, $I_B$, $I_C$. What is the maximum area of the triangle $\Delta I_A I_B I_C$?
3 replies
mpcnotnpc
Tuesday at 6:24 PM
mpcnotnpc
3 hours ago
J
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How is this possible
Craftybutterfly   10
N 3 hours ago by jkim0656
This is very wrong
10 replies
Craftybutterfly
Yesterday at 4:32 AM
jkim0656
3 hours ago
J
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Rest in peace, Geometry!
mathisreaI   84
N 3 hours ago by blueprimes
Source: IMO 2022 Problem 4
Let $ABCDE$ be a convex pentagon such that $BC=DE$. Assume that there is a point $T$ inside $ABCDE$ with $TB=TD,TC=TE$ and $\angle ABT = \angle TEA$. Let line $AB$ intersect lines $CD$ and $CT$ at points $P$ and $Q$, respectively. Assume that the points $P,B,A,Q$ occur on their line in that order. Let line $AE$ intersect $CD$ and $DT$ at points $R$ and $S$, respectively. Assume that the points $R,E,A,S$ occur on their line in that order. Prove that the points $P,S,Q,R$ lie on a circle.
84 replies
mathisreaI
Jul 13, 2022
blueprimes
3 hours ago
J
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Partition set with equal sum and differnt cardinality
psi241   73
N Yesterday at 9:32 PM by mananaban
Source: IMO Shortlist 2018 C1
Let $n\geqslant 3$ be an integer. Prove that there exists a set $S$ of $2n$ positive integers satisfying the following property: For every $m=2,3,...,n$ the set $S$ can be partitioned into two subsets with equal sums of elements, with one of subsets of cardinality $m$.
73 replies
psi241
Jul 17, 2019
mananaban
Yesterday at 9:32 PM
J
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equal angles
jhz   3
N Yesterday at 6:51 PM by DottedCaculator
Source: 2025 CTST P16
In convex quadrilateral $ABCD, AB \perp AD, AD = DC$. Let $ E$ be a point on side $BC$, and $F$ be a point on the extension of $DE$ such that $\angle ABF = \angle DEC>90^{\circ}$. Let $O$ be the circumcenter of $\triangle CDE$, and $P$ be a point on the side extension of $FO$ satisfying $FB =FP$. Line BP intersects AC at point Q. Prove that $\angle AQB =\angle DPF.$
3 replies
jhz
Yesterday at 12:56 AM
DottedCaculator
Yesterday at 6:51 PM
J
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Lines AD, BE, and CF are concurrent
orl   45
N Yesterday at 6:37 PM by Mapism
Source: IMO Shortlist 2000, G3
Let $O$ be the circumcenter and $H$ the orthocenter of an acute triangle $ABC$. Show that there exist points $D$, $E$, and $F$ on sides $BC$, $CA$, and $AB$ respectively such that \[ OD + DH = OE + EH = OF + FH\] and the lines $AD$, $BE$, and $CF$ are concurrent.
45 replies
orl
Aug 10, 2008
Mapism
Yesterday at 6:37 PM
J
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Parallel lines and angle congruences
math154   36
N Yesterday at 6:01 PM by ErTeeEs06
Source: ELMO Shortlist 2012, G5; also ELMO #5
Let $ABC$ be an acute triangle with $AB<AC$, and let $D$ and $E$ be points on side $BC$ such that $BD=CE$ and $D$ lies between $B$ and $E$. Suppose there exists a point $P$ inside $ABC$ such that $PD\parallel AE$ and $\angle PAB=\angle EAC$. Prove that $\angle PBA=\angle PCA$.

Calvin Deng.
36 replies
math154
Jul 2, 2012
ErTeeEs06
Yesterday at 6:01 PM
J
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J
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k AoPS wiki loading slowly?
EaZ_Shadow   18
N 6 hours ago by jlacosta
I don't know why, but why is that when I try loading to AoPS Wiki, it loads really slow? (I'm using an iPad)
18 replies
EaZ_Shadow
Tuesday at 9:18 PM
jlacosta
6 hours ago
J
AoPS wiki loading slowly?
G H J
Reveal topic tags
AoPSwiki
Sigma
didler
Ohio
Skibidi
L
G H BBookmark kLocked kLocked NReply
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EaZ_Shadow
1122 posts
EaZ_Shadow
#1 h  Tuesday at 9:18 PM • 5 Y
Y by RainbowJessa, ethanzhang1001, maromex, bowenli2023, bpan2021
I don't know why, but why is that when I try loading to AoPS Wiki, it loads really slow? (I'm using an iPad)
Z Y
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BrighterFrog11
1106 posts
BrighterFrog11
#2 h  Tuesday at 9:27 PM • 1 Y
Y by RainbowJessa
I don't know. It's happening to me too. I don't think it really matters though because it stills loads eventually.
Z Y
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Demetri
1128 posts
Demetri
#3 h  Tuesday at 9:40 PM • 1 Y
Y by RainbowJessa
I can also reproduce.
Z Y
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RuinGuard
439 posts
RuinGuard
#4 h  Tuesday at 9:55 PM • 1 Y
Y by RainbowJessa
Yes, whenever I try to look at AMC problem solutions, each problem takes forever to open.
Z Y
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Craftybutterfly
259 posts
Craftybutterfly
#5 h  Tuesday at 10:15 PM
Y by
Can also reproduce. AoPS wiki is always acting suspicious. When I go into the AoPS wiki also, the my classes tab also disappears as well as half of the resources.
Z Y
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Demetri
1128 posts
Demetri
#6 h  Tuesday at 10:25 PM
Y by
Craftybutterfly wrote:
Can also reproduce. AoPS wiki is always acting suspicious. When I go into the AoPS wiki also, the my classes tab also disappears as well as half of the resources.
resources tab has changed, and the and half of the resources tab should be gone everywhere.
Z Y
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RainbowJessa
12 posts
RainbowJessa
#7 h  Tuesday at 10:34 PM
Y by
yah, i practice amc 8 on weekends, but it takes so long to open every question
Z Y
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greenplanet2050
1286 posts
greenplanet2050
#8 h  Tuesday at 11:51 PM
Y by
I can def reproduce

Takes 5 seconds for it to load
This post has been edited 1 time. Last edited by greenplanet2050, Tuesday at 11:52 PM
Z Y
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jb2015007
1726 posts
jb2015007
#9 h  Yesterday at 1:26 AM
Y by
ya same for me it takes so long like 5-10 secs
idk whats goin on
i thought i had a virus but nvm
Z Y
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stjwyl
1250 posts
stjwyl
#10 h  Yesterday at 1:36 AM
Y by
can also reproduce
takes a bit
10 ish seconds
Z Y
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maxamc
475 posts
maxamc
#11 h  Yesterday at 1:44 AM
Y by
can also reproduce lag, normally takes a while to load
Z Y
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Craftybutterfly
259 posts
Craftybutterfly
#13 h  Yesterday at 4:01 AM
Y by
Demetri wrote:
Craftybutterfly wrote:
Can also reproduce. AoPS wiki is always acting suspicious. When I go into the AoPS wiki also, the my classes tab also disappears as well as half of the resources.
resources tab has changed, and the and half of the resources tab should be gone everywhere.
I also see that the computer thing next to username and profile picture is gone
Z Y
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golden_ducky
1383 posts
golden_ducky
#14 h  Yesterday at 5:15 AM
Y by
EaZ_Shadow wrote:
I don't know why, but why is that when I try loading to AoPS Wiki, it loads really slow? (I'm using an iPad)

sometimes it might me internet issuses, but if that's not the case, it could be some type of lag. Since I don't use an iPad as my device, I can't be 100 percent sure. you could try to reload the page, or "x" out some tabs.
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Craftybutterfly
259 posts
Craftybutterfly
#15 h  Yesterday at 5:22 AM
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golden_ducky wrote:
EaZ_Shadow wrote:
I don't know why, but why is that when I try loading to AoPS Wiki, it loads really slow? (I'm using an iPad)

sometimes it might me internet issuses, but if that's not the case, it could be some type of lag. Since I don't use an iPad as my device, I can't be 100 percent sure. you could try to reload the page, or "x" out some tabs.
since it is across almost all users, it cannot be internet connection issues unless the world experienced a world loss of internet connection
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golden_ducky
1383 posts
golden_ducky
#16 h  Yesterday at 2:16 PM
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huh, I don't have lag?
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golden_ducky
1383 posts
golden_ducky
#17 h  Yesterday at 2:17 PM
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Craftybutterfly wrote:
golden_ducky wrote:
EaZ_Shadow wrote:
I don't know why, but why is that when I try loading to AoPS Wiki, it loads really slow? (I'm using an iPad)

sometimes it might me internet issuses, but if that's not the case, it could be some type of lag. Since I don't use an iPad as my device, I can't be 100 percent sure. you could try to reload the page, or "x" out some tabs.
since it is across almost all users, it cannot be internet connection issues unless the world experienced a world loss of internet connection

okay.... So I think the website has a problem then...
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Craftybutterfly
259 posts
Craftybutterfly
#18 h  Yesterday at 3:17 PM
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golden_ducky wrote:
huh, I don't have lag?

Can reproduce on iPhone
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xHypotenuse
746 posts
xHypotenuse
#19 h  Yesterday at 6:47 PM
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Can confirm this is happening to me on PC, Chromebook, and phone
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jlacosta
606 posts
jlacosta
#20 h  6 hours ago
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Thanks for letting us know. We can replicate this issue and will pass this along!
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