Art of Problem Solving
AoPS Online AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy AoPS Academy
Small live classes for advanced math
and language arts learners in grades 1-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Stay ahead of learning milestones! Enroll in a class over the summer!
No tags match your search
M
G
Topic
First Poster
Last Poster
H
k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
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.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

Prealgebra 1
Sunday, Apr 13 - Aug 10
Tuesday, May 13 - Aug 26
Thursday, May 29 - Sep 11
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
Wednesday, Jul 16 - Oct 29

Prealgebra 2 Self-Paced

Prealgebra 2
Sunday, Apr 13 - Aug 10
Wednesday, May 7 - Aug 20
Monday, Jun 2 - Sep 22
Sunday, Jun 29 - Oct 26
Friday, Jul 25 - Nov 21

Introduction to Algebra A Self-Paced

Introduction to Algebra A
Monday, Apr 7 - Jul 28
Sunday, May 11 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, May 14 - Aug 27
Friday, May 30 - Sep 26
Monday, Jun 2 - Sep 22
Sunday, Jun 15 - Oct 12
Thursday, Jun 26 - Oct 9
Tuesday, Jul 15 - Oct 28

Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
Wednesday, Apr 16 - Jul 2
Thursday, May 15 - Jul 31
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Wednesday, Jul 9 - Sep 24
Sunday, Jul 27 - Oct 19

Introduction to Number Theory
Thursday, Apr 17 - Jul 3
Friday, May 9 - Aug 1
Wednesday, May 21 - Aug 6
Monday, Jun 9 - Aug 25
Sunday, Jun 15 - Sep 14
Tuesday, Jul 15 - Sep 30

Introduction to Algebra B Self-Paced

Introduction to Algebra B
Wednesday, Apr 16 - Jul 30
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14

Introduction to Geometry
Wednesday, Apr 23 - Oct 1
Sunday, May 11 - Nov 9
Tuesday, May 20 - Oct 28
Monday, Jun 16 - Dec 8
Friday, Jun 20 - Jan 9
Sunday, Jun 29 - Jan 11
Monday, Jul 14 - Jan 19

Intermediate: Grades 8-12

Intermediate Algebra
Monday, Apr 21 - Oct 13
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
Wednesday, Jun 25 - Dec 10
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22

Intermediate Counting & Probability
Wednesday, May 21 - Sep 17
Sunday, Jun 22 - Nov 2

Intermediate Number Theory
Friday, Apr 11 - Jun 27
Sunday, Jun 1 - Aug 24
Wednesday, Jun 18 - Sep 3

Precalculus
Wednesday, Apr 9 - Sep 3
Friday, May 16 - Oct 24
Sunday, Jun 1 - Nov 9
Monday, Jun 30 - Dec 8

Advanced: Grades 9-12

Olympiad Geometry
Tuesday, Jun 10 - Aug 26

Calculus
Tuesday, May 27 - Nov 11
Wednesday, Jun 25 - Dec 17

Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Wednesday, Apr 16 - Jul 2
Friday, May 23 - Aug 15
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

MATHCOUNTS/AMC 8 Advanced
Friday, Apr 11 - Jun 27
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Problem Series
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Tuesday, Jun 17 - Sep 2
Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Final Fives
Sunday, May 11 - Jun 8
Tuesday, May 27 - Jun 17
Monday, Jun 30 - Jul 21

AMC 12 Problem Series
Tuesday, May 27 - Aug 12
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Wednesday, Aug 6 - Oct 22

AMC 12 Final Fives
Sunday, May 18 - Jun 15

F=ma Problem Series
Wednesday, Jun 11 - Aug 27

WOOT Programs
Visit the pages linked for full schedule details for each of these programs!

MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT

Programming

Introduction to Programming with Python
Thursday, May 22 - Aug 7
Sunday, Jun 15 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Tuesday, Jun 17 - Sep 2
Monday, Jun 30 - Sep 22

Intermediate Programming with Python
Sunday, Jun 1 - Aug 24
Monday, Jun 30 - Sep 22

USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
Sunday, Jun 22 - Sep 1

Physics

Introduction to Physics
Wednesday, May 21 - Aug 6
Sunday, Jun 15 - Sep 14
Monday, Jun 23 - Sep 15

Physics 1: Mechanics
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

Relativity
Sat & Sun, Apr 26 - Apr 27 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)
0 replies
jlacosta
Apr 2, 2025
0 replies
J
H
k i Suggestion Form
jwelsh   0
May 6, 2021
Hello!

Given the number of suggestions we’ve been receiving, we’re transitioning to a suggestion form. If you have a suggestion for the AoPS website, please submit the Google Form:
Suggestion Form

To keep all new suggestions together, any new suggestion threads posted will be deleted.

Please remember that if you find a bug outside of FTW! (after refreshing to make sure it’s not a glitch), make sure you’re following the How to write a bug report instructions and using the proper format to report the bug.

Please check the FTW! thread for bugs and post any new ones in the For the Win! and Other Games Support Forum.
0 replies
jwelsh
May 6, 2021
0 replies
J
H
k i Read me first / How to write a bug report
slester   3
N May 4, 2019 by LauraZed
Greetings, AoPS users!

If you're reading this post, that means you've come across some kind of bug, error, or misbehavior, which nobody likes! To help us developers solve the problem as quickly as possible, we need enough information to understand what happened. Following these guidelines will help us squash those bugs more effectively.

Before submitting a bug report, please confirm the issue exists in other browsers or other computers if you have access to them.

For a list of many common questions and issues, please see our user created FAQ, Community FAQ, or For the Win! FAQ.

What is a bug?
A bug is a misbehavior that is reproducible. If a refresh makes it go away 100% of the time, then it isn't a bug, but rather a glitch. That's when your browser has some strange file cached, or for some reason doesn't render the page like it should. Please don't report glitches, since we generally cannot fix them. A glitch that happens more than a few times, though, could be an intermittent bug.

If something is wrong in the wiki, you can change it! The AoPS Wiki is user-editable, and it may be defaced from time to time. You can revert these changes yourself, but if you notice a particular user defacing the wiki, please let an admin know.

The subject
The subject line should explain as clearly as possible what went wrong.

Bad: Forum doesn't work
Good: Switching between threads quickly shows blank page.

The report
Use this format to report bugs. Be as specific as possible. If you don't know the answer exactly, give us as much information as you know. Attaching a screenshot is helpful if you can take one.

Summary of the problem:
Page URL:
Steps to reproduce:
1.
2.
3.
...
Expected behavior:
Frequency:
Operating system(s):
Browser(s), including version:
Additional information:

If your computer or tablet is school issued, please indicate this under Additional information.

Example
Summary of the problem: When I click back and forth between two threads in the site support section, the content of the threads no longer show up. (See attached screenshot.)
Page URL: http://artofproblemsolving.com/community/c10_site_support
Steps to reproduce:
1. Go to the Site Support forum.
2. Click on any thread.
3. Click quickly on a different thread.
Expected behavior: To see the second thread.
Frequency: Every time
Operating system: Mac OS X
Browser: Chrome and Firefox
Additional information: Only happens in the Site Support forum. My tablet is school issued, but I have the problem at both school and home.

How to take a screenshot
Mac OS X: If you type ⌘+Shift+4, you'll get a "crosshairs" that lets you take a custom screenshot size. Just click and drag to select the area you want to take a picture of. If you type ⌘+Shift+4+space, you can take a screenshot of a specific window. All screenshots will show up on your desktop.

Windows: Hit the Windows logo key+PrtScn, and a screenshot of your entire screen. Alternatively, you can hit Alt+PrtScn to take a screenshot of the currently selected window. All screenshots are saved to the Pictures → Screenshots folder.

Advanced
If you're a bit more comfortable with how browsers work, you can also show us what happens in the JavaScript console.

In Chrome, type CTRL+Shift+J (Windows, Linux) or ⌘+Option+J (Mac).
In Firefox, type CTRL+Shift+K (Windows, Linux) or ⌘+Option+K (Mac).
In Internet Explorer, it's the F12 key.
In Safari, first enable the Develop menu: Preferences → Advanced, click "Show Develop menu in menu bar." Then either go to Develop → Show Error console or type Option+⌘+C.

It'll look something like this:
IMAGE
3 replies
slester
Apr 9, 2015
LauraZed
May 4, 2019
J
H
k i Community Safety
dcouchman   0
Jan 18, 2018
If you find content on the AoPS Community that makes you concerned for a user's health or safety, please alert AoPS Administrators using the report button (Z) or by emailing sheriff@aops.com . You should provide a description of the content and a link in your message. If it's an emergency, call 911 or whatever the local emergency services are in your country.

Please also use those steps to alert us if bullying behavior is being directed at you or another user. Content that is "unlawful, harmful, threatening, abusive, harassing, tortuous, defamatory, vulgar, obscene, libelous, invasive of another's privacy, hateful, or racially, ethnically or otherwise objectionable" (AoPS Terms of Service 5.d) or that otherwise bullies people is not tolerated on AoPS, and accounts that post such content may be terminated or suspended.
0 replies
dcouchman
Jan 18, 2018
0 replies
J
H
i love mordell
MR.1   1
N 3 minutes ago by MR.1
Source: own
find all pairs of $(m,n)$ such that $n^2-79=m^3$
1 reply
MR.1
8 minutes ago
MR.1
3 minutes ago
J
H
MM 2201 (Symmetric Inequality with Weird Sharp Case)
kgator   1
N 13 minutes ago by CHESSR1DER
Source: Mathematics Magazine Volume 97 (2024), Issue 4: https://doi.org/10.1080/0025570X.2024.2393998
2201. Proposed by Leonard Giugiuc, Drobeta-Turnu Severin, Romania. Find all real numbers $K$ such that
$$a^2 + b^2 + c^2 - 3 \geq K(a + b + c - 3)$$for all nonnegative real numbers $a$, $b$, and $c$ with $abc \leq 1$.
1 reply
kgator
an hour ago
CHESSR1DER
13 minutes ago
J
H
Interesting Inequality Problem
Omerking   0
29 minutes ago
Let $a,b,c$ be three non-negative real numbers satisfying $a+b+c+abc=4.$
Prove that
$$\frac{a}{a^{2}+1}+\frac{b}{b^{2}+1}+\frac{c}{c^{2}+1} \leq\frac{6}{13-3ab-3bc-3ca}$$
0 replies
Omerking
29 minutes ago
0 replies
J
H
[SEIF Q1] FE on x^3+xy...( ͡° ͜ʖ ͡°)
EmilXM   18
N 30 minutes ago by jasperE3
Source: SEIF 2022
Find all functions $f:\mathbb{R}\rightarrow\mathbb{R}$ such that any real numbers $x$ and $y$ satisfy
$$x^3+f(x)f(y)=f(f(x^3)+f(xy)).$$Proposed by EmilXM
18 replies
EmilXM
Mar 12, 2022
jasperE3
30 minutes ago
J
H
k Question About Alcumus
Acumlus   2
N 4 hours ago by jlacosta
Since thiers a new CEO now for AOPS and its 2025, will we see AOPS integrate artificial intelligence into its programs in but not limited to alcumus, not like totally changing it, for example maybe their could be an insights area where its composed about the problems you most frequently missed and other features, tysm for reading this.
2 replies
Acumlus
Yesterday at 11:21 PM
jlacosta
4 hours ago
J
H
Search results do not show up
Craftybutterfly   16
N Today at 5:03 AM by Craftybutterfly
Summary: If you use advanced search, the search says "No topics here!"
Steps to reproduce:
1. Use advanced search
2. there will be no topics when you finish
Frequency: 100%
Operating system(s): HP elitebook
Browser: Chrome latest version
16 replies
Craftybutterfly
Apr 4, 2025
Craftybutterfly
Today at 5:03 AM
J
H
k Can't search in PMs
ChaitraliKA   16
N Yesterday at 8:08 PM by jlacosta
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
16 replies
ChaitraliKA
Apr 2, 2025
jlacosta
Yesterday at 8:08 PM
J
H
k "Formatting Tips" in wrong place?
SlyOwl45   3
N Yesterday at 8:04 PM by jlacosta
Summary of the problem:
The formatting tips button on class homework problems has moved.
Page URL:
any class homework page
Steps to reproduce:
1. Got to class homework page.
2. find a problem with formatting tips
3. see that the button is now above input space.
Expected behavior:
the button is to the right of submit button
Frequency:
100%
Operating system(s):
windows 11
Browser(s), including version:
Firefox, idk?
Additional information:
in screenshots
Mods/admins, this probably isn't a very big problem, so feel free to lock if you want. :yup:
3 replies
SlyOwl45
Apr 5, 2025
jlacosta
Yesterday at 8:04 PM
J
H
k avatar changing slowly
Craftybutterfly   15
N Yesterday at 5:53 PM by jlacosta
Summary of the problem: If you change your avatar, it takes a long time to show the avatar
Page URL:
Steps to reproduce:
1. Change your avatar
2. Wait
3. It takes a long time for it to change
Expected behavior: It changes quickly
Frequency: 100%
Operating system(s): HP elitebook
Browser(s), including version: chrome latest
Additional information: It shows the attachment below for at least 30 seconds before it changes and reloads the page
15 replies
Craftybutterfly
Apr 7, 2025
jlacosta
Yesterday at 5:53 PM
J
H
k lag again??
greenplanet2050   7
N Yesterday at 5:35 PM by jlacosta
is it just me but is the aops wiki lag back

its taking forever for me to load the aime probs
7 replies
greenplanet2050
Apr 7, 2025
jlacosta
Yesterday at 5:35 PM
J
H
k **RESOLVED** Boxed in LaTeX Question
PikaPika999   2
N Yesterday at 12:50 PM by PikaPika999
In $\LaTeX$$,$ what is the difference between \boxed and \fbox?
2 replies
PikaPika999
Yesterday at 1:07 AM
PikaPika999
Yesterday at 12:50 PM
J
H
k is it ok if i scrape
derekli   2
N Yesterday at 7:45 AM by Sotowa
Hey guys I work for stellar learning and i was wondering will it be ok to scrape the entire AOPS wiki for problems/solutions? Also btw why has wiki been slow lately?
2 replies
derekli
Yesterday at 4:40 AM
Sotowa
Yesterday at 7:45 AM
J
H
k is aops wiki slow?
PiPioneer17   1
N Yesterday at 4:12 AM by Sotowa
I have been using AOPS wiki, and whenever I click on a problem it takes around 20 seconds to load. Does anyone else have this issue?
1 reply
PiPioneer17
Yesterday at 4:08 AM
Sotowa
Yesterday at 4:12 AM
J
H
k FTW Composite Scoring
AIMETestTaker   8
N Tuesday at 10:33 PM by aok
Hi, does anyone know what the formula for the composite FTW scoring is?

8 replies
AIMETestTaker
Apr 4, 2025
aok
Tuesday at 10:33 PM
J
H
J
H
point is K equidistant from 2 opposite sides of parallelogram, circle related
parmenides51   1
N May 14, 2020 by Purple_Planet
Source: 2019 Ukraine MO X p6
Given a parallelogram $ABCD$. A circle passing through the vertices $A$ and $D$ intersects the lines $AB,BD,AC,CD$ at the points $B_1,B_2,C_1,C_2$ respectively. Lines $B_1B_2$ and $C_1C_2$ intersect at a point $K$. Prove that the point is $K$ equidistant from the lines $AB$ and $CD$.

(Anton Trygub)
1 reply
parmenides51
May 14, 2020
Purple_Planet
May 14, 2020
J
point is K equidistant from 2 opposite sides of parallelogram, circle related
G H J
Reveal topic tags
geometry
parallelogram
L
G H BBookmark kLocked kLocked NReply
Source: 2019 Ukraine MO X p6
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
parmenides51
30630 posts
parmenides51
#1 h  May 14, 2020, 1:08 PM
Y by
Given a parallelogram $ABCD$. A circle passing through the vertices $A$ and $D$ intersects the lines $AB,BD,AC,CD$ at the points $B_1,B_2,C_1,C_2$ respectively. Lines $B_1B_2$ and $C_1C_2$ intersect at a point $K$. Prove that the point is $K$ equidistant from the lines $AB$ and $CD$.

(Anton Trygub)
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
Purple_Planet
1539 posts
Purple_Planet
#2 h  May 14, 2020, 5:10 PM • 1 Y
Y by Durga01
Let $H=AC\cap BD$. Let $F\in AB$ and $G\in CD$ such that $KF\perp AB$ and $KG\perp CD$. Let $J\in CD$ such that $FJ\|BC\|AD$. Clearly, $K,F,G$ are collinear. By Pascal's theorem on $B_1B_2DC_1C_2A$ we get $K,H,P_\infty$ are collinear where $P_\infty=AB\cap CD$. So, $KH\|CD\|AB$. So, $KH$ bisects $JF$ and thus $K$ is midpoint of $FG$.
Z K Y
N Quick Reply
G
H
=
a