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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:
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0 replies
jlacosta
Mar 2, 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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Algebra Problem
JetFire008   1
N an hour ago by aidan0626
Find the sum of the series
$$1^2-2^2+3^2-4^2+...+(-1)^n+1n^2$$
1 reply
JetFire008
an hour ago
aidan0626
an hour ago
J
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Inequalities
sqing   4
N an hour ago by DAVROS
Let $ a,b,c\geq 0 $ and $a+b+c=1$. Prove that$$a^3b+b^3c+c^3a+\frac{473}{256}abc\le\frac{27}{256}$$Equality holds when $ a=b=c=\frac{1}{3} $ or $ a=0,b=\frac{3}{4},c=\frac{1}{4} $ or $ a=\frac{1}{4} ,b=0,c=\frac{3}{4} $
or $ a=\frac{3}{4} ,b=\frac{1}{4},c=0. $
4 replies
sqing
Yesterday at 3:55 PM
DAVROS
an hour ago
J
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Geometry Problem
JetFire008   1
N an hour ago by JetFire008
Equilateral $\triangle ADC$ is drawn externally on side $AC$ of $\triangle ABC$. Point $P$ is taken on $BD$. Find $\angle APC$ if $BD=PA+PB+PC$.
1 reply
JetFire008
2 hours ago
JetFire008
an hour ago
J
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Hyperbolic tangent
MetaphysicalWukong   6
N an hour ago by MetaphysicalWukong
Source: Kunwei Ding
Consider the function below. Can someone explain to me why that is the correct answer and find the value of a?
6 replies
MetaphysicalWukong
an hour ago
MetaphysicalWukong
an hour ago
J
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Inequality with real numbers
JK1603JK   4
N an hour ago by SunnyEvan
Source: unknown
Let a,b,c are real numbers. Prove that (a^3+b^3+c^3+3abc)^4+(a+b+c)^3(a+b-c)^3(-a+b+c)^3(a-b+c)^3>=0
4 replies
JK1603JK
Yesterday at 6:48 AM
SunnyEvan
an hour ago
J
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Interesting inequality
sqing   1
N an hour ago by SunnyEvan
Source: Own
Let $ a,b,c\geq 0,(ab+c)(ac+b)\neq 0 $ and $ a+b+c=3 . $ Prove that
$$ \frac{1}{ab+c+k}+\frac{1}{ac+b+k} \geq\frac{2}{k+2} $$Where $ k\geq 0. $
1 reply
sqing
4 hours ago
SunnyEvan
an hour ago
J
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Interesting inequality
sqing   2
N 2 hours ago by SunnyEvan
Source: Own
Let $ a,b,c\geq 0,(ab+c)(ac+b)\neq 0 $ and $ a+b+c=3 . $ Prove that
$$ \frac{1}{ab+kc}+\frac{1}{ac+kb} \geq\frac{4}{3k} $$Where $ k\geq 3. $
$$ \frac{1}{ab+2c}+\frac{1}{ac+2b} \geq\frac{16}{25} $$$$ \frac{1}{ab+3c}+\frac{1}{ac+3b} \geq\frac{4}{9} $$$$ \frac{1}{ab+4c}+\frac{1}{ac+4b} \geq\frac{1}{3} $$

2 replies
sqing
4 hours ago
SunnyEvan
2 hours ago
J
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Prove that P1(x), P2(x) ,... Pn(x) = k has no root
truongphatt2668   1
N 2 hours ago by removablesingularity
Let $n \in \mathbb{N}^*$ and $P_1(x),P_2(x), \ldots P_n(x) \in \mathbb{Z}[x]$ such that $\mathrm{deg} P_i = 2, \forall i = \overline{1,n}$. Prove that exists many $k \in \mathbb{N}$ such that every equation: $P_i(x) = k, \forall i = \overline{1,n}$ has no real roots
1 reply
truongphatt2668
5 hours ago
removablesingularity
2 hours ago
J
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Transitive relation
MetaphysicalWukong   1
N 2 hours ago by removablesingularity
Source: Huabing Dai
Let ? be the relation on the set of integers, where (?, ?) ∈ ? if ? + ? is even.
Is ? transitive?

I know ? is reflexive and symmetric but not sure about transitivity.
1 reply
MetaphysicalWukong
4 hours ago
removablesingularity
2 hours ago
J
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super duper ez radax problem
iStud   8
N 3 hours ago by MathsII-enjoy
Source: Monthly Contest KTOM March 2025 P1 Essay
Given an acute triangle $ABC$ with $BC<AB<AC$. Points $D$ and $E$ are on $AB$ and $AC$ respectively such that $DB=BC=CE$. Lines $CD$ and $BE$ meet at $F$. $I$ is the incenter of $\triangle{ABC}$ and $H$ is the orthocenter of $\triangle{DEF}$. $\omega_b$ and $\omega_c$ are circles with diameter $BD$ and $CE$, respectively, intersecting each other at points $X$ and $Y$. Prove that $I$ and $H$ lie on $XY$.

Hint
8 replies
iStud
Mar 18, 2025
MathsII-enjoy
3 hours ago
J
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Cyclic ine
m4thbl3nd3r   5
N 3 hours ago by sqing
Let $a,b,c>0$ such that $a+b+c=3$. Prove that $$a^3b+b^3c+c^3a+9abc\le 12$$
5 replies
m4thbl3nd3r
Yesterday at 3:17 PM
sqing
3 hours ago
J
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Points in general position
AshAuktober   2
N 4 hours ago by Bata325
Source: 2025 Nepal ptst p1 of 4
Shining tells Prajit a positive integer $n \ge 2025$. Prajit then tries to place n points such that no four points are concyclic and no $3$ points are collinear in Euclidean plane, such that Shining cannot find a group of three points such that their circumcircle contains none of the other remaining points. Is he always able to do so?

(Prajit Adhikari, Nepal and Shining Sun, USA)
2 replies
AshAuktober
Mar 15, 2025
Bata325
4 hours ago
J
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Discord Server
mathprodigy2011   14
N 4 hours ago by KF329
Theres a server where we are all like discussing problems+helping each other practice. Hopefully you guys can join.

https://discord.gg/6hN3w4eK
14 replies
mathprodigy2011
Friday at 11:00 PM
KF329
4 hours ago
J
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what actually happens after the usamo
bubby617   0
5 hours ago
i keep getting different answers for how the selection process gets down from the usamo winners to the IMO team so can someone set the record straight for me
0 replies
bubby617
5 hours ago
0 replies
J
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J
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Discord Server
mathprodigy2011   14
N 4 hours ago by KF329
Theres a server where we are all like discussing problems+helping each other practice. Hopefully you guys can join.

https://discord.gg/6hN3w4eK
14 replies
mathprodigy2011
Friday at 11:00 PM
KF329
4 hours ago
J
Discord Server
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Reveal topic tags
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mathprodigy2011
233 posts
mathprodigy2011
#1 h  Friday at 11:00 PM
Y by
Theres a server where we are all like discussing problems+helping each other practice. Hopefully you guys can join.

https://discord.gg/6hN3w4eK
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ohiorizzler1434
725 posts
ohiorizzler1434
#2 h  Yesterday at 12:26 AM
Y by
Stop sharing links on AoPS! This is unethical!
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Lhaj3
128 posts
Lhaj3
#3 h  Yesterday at 3:54 AM
Y by
mathprodigy2011 wrote:
Theres a server where we are all like discussing problems+helping each other practice. Hopefully you guys can join.

https://discord.gg/6hN3w4eK

MODS >>>
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GottaLuvMATH
5 posts
GottaLuvMATH
#4 h  Yesterday at 9:22 AM
Y by
Lhaj3 wrote:
mathprodigy2011 wrote:
Theres a server where we are all like discussing problems+helping each other practice. Hopefully you guys can join.

https://discord.gg/6hN3w4eK

MODS >>>

FAX! :10:
Z K Y
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ohiorizzler1434
725 posts
ohiorizzler1434
#5 h  Yesterday at 10:36 AM
Y by
Wdym? MODS is terrible and unethical.
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SomeonecoolLovesMaths
3150 posts
SomeonecoolLovesMaths
#6 h  Yesterday at 10:41 AM
Y by
ohiorizzler1434 wrote:
Wdym? MODS is terrible and unethical.

wdym? :huh:
mathprodigy2011 wrote:
Theres a server where we are all like discussing problems+helping each other practice. Hopefully you guys can join.

https://discord.gg/6hN3w4eK

:spam: (finally a proper place where I can use this emoji)
Z K Y
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KF329
215 posts
KF329
#7 h  Yesterday at 10:42 AM
Y by
:spam:

...
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dbnl
3372 posts
dbnl
#8 h  Yesterday at 1:53 PM
Y by
:spam: musubi
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Demetri
1106 posts
Demetri
#9 h  Yesterday at 2:06 PM
Y by
Sharing discord links is against aops rules yet its been here since yesterday lol.
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KF329
215 posts
KF329
#10 h  Today at 12:56 AM
Y by
oop

Can they like get rid of it or smth
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KevinChen_Yay
204 posts
KevinChen_Yay
#11 h  6 hours ago
Y by
wait whats the problem w/ this?

just curious kinda confused lol

edit: i see now
This post has been edited 1 time. Last edited by KevinChen_Yay, 5 hours ago
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Major_Monogram
325 posts
Major_Monogram
#12 h  6 hours ago
Y by
:spam::spam::
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ohiorizzler1434
725 posts
ohiorizzler1434
#13 h  6 hours ago
Y by
Demetri wrote:
Sharing discord links is against aops rules yet its been here since yesterday lol.

well you're being excessively unethical by policing this, this link has done nothing wrong.
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jkim0656
321 posts
jkim0656
#14 h  5 hours ago
Y by
wait whats so wrong with sharing discord links?
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KF329
215 posts
KF329
#15 h  4 hours ago
Y by
hmmm idk :wacko:
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