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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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Old Inequality
giangtruong13   1
N an hour ago by sqing
Let $a,b,c >0$ and $abc=1$. Prove that: $$ \sqrt{a^2-a+1}+\sqrt{b^2-b+1} +\sqrt{c^2-c+1} \ge a+b+c$$
1 reply
giangtruong13
2 hours ago
sqing
an hour ago
J
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Combo resources
Fly_into_the_sky   2
N an hour ago by Fly_into_the_sky
Ok so i never did combinatorics in my life :oops: and i am willing to be able to do P1/P4 combos (or even more)
So yeah how can i start from scratch?
Remark:i don't want compuational combo resources :noo:
2 replies
Fly_into_the_sky
Yesterday at 5:15 PM
Fly_into_the_sky
an hour ago
J
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A very good problem
JetFire008   1
N an hour ago by JetFire008
Source: Spain 1997 (as claimed by the internet)
There are $n$ identical cars on a circular track. Among all of them, they have just enough gas for one car to complete a lap. Show that there is a car that can complete a lap by collecting gas from the other cars on its way around
Read the bold line carefully as it is easy to misread the problem.
1 reply
JetFire008
an hour ago
JetFire008
an hour ago
J
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P lies on BC
Melid   0
an hour ago
Source: own
In scalene triangle $ABC$, which doesn't have right angle, let $O$ be its circumcenter. Let $H_{1}$ and $H_{2}$ be orthocenters of triangle $ABO$ and $ACO$, respectively. Let $O_{1}$ be circumcenter of triangle $OH_{1}H_{2}$. If circle $ACO_{1}$ and circle $CH_{1}H_{2}$ intersect at $P$ for the second time, prove that $P$ lies on $BC$.
0 replies
Melid
an hour ago
0 replies
J
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Polynomial functional equation
Fishheadtailbody   2
N 2 hours ago by Fishheadtailbody
Source: MACMO
$P(x)$ is a polynomial with real coefficients such that
\[ P(x)^2 - 1 = 4 P(x^2 - 4x + 1). \]Find $P(x)$.

fixed now
2 replies
Fishheadtailbody
Apr 18, 2025
Fishheadtailbody
2 hours ago
J
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Strange circles in an orthocenter config
VideoCake   2
N 2 hours ago by pi_quadrat_sechstel
Source: 2025 German MO, Round 4, Grade 12, P3
Let \(\overline{AD}\) and \(\overline{BE}\) be altitudes in an acute triangle \(ABC\) which meet at \(H\). Suppose that \(DE\) meets the circumcircle of \(ABC\) at \(P\) and \(Q\) such that \(P\) lies on the shorter arc of \(BC\) and \(Q\) lies on the shorter arc of \(CA\). Let \(AQ\) and \(BE\) meet at \(S\). Show that the circumcircles of \(BPE\) and \(QHS\) and the line \(PH\) concur.
2 replies
VideoCake
May 26, 2025
pi_quadrat_sechstel
2 hours ago
J
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Lines pass through a common point
April   5
N 2 hours ago by SatisfiedMagma
Source: Baltic Way 2008, Problem 18
Let $ AB$ be a diameter of a circle $ S$, and let $ L$ be the tangent at $ A$. Furthermore, let $ c$ be a fixed, positive real, and consider all pairs of points $ X$ and $ Y$ lying on $ L$, on opposite sides of $ A$, such that $ |AX|\cdot |AY| = c$. The lines $ BX$ and $ BY$ intersect $ S$ at points $ P$ and $ Q$, respectively. Show that all the lines $ PQ$ pass through a common point.
5 replies
April
Nov 23, 2008
SatisfiedMagma
2 hours ago
J
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Parameter and 4 variables
mihaig   1
N 2 hours ago by mihaig
Source: Own
Find the positive real constants $K$ such that
$$3\left(a^2+b^2+c^2+d^2\right)+4\left(abcd\right)^K\geq\left(a+b+c+d\right)^2$$for all $a,b,c,d\geq0$ satisfying $a+b+c+d\geq4.$
1 reply
mihaig
3 hours ago
mihaig
2 hours ago
J
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How many friends can sit in that circle at most?
Arytva   0
2 hours ago

A group of friends sits in a ring. Each friend picks a different whole number and holds a stone marked with it. Then they pass their stone one seat to the right so everyone ends up with two stones: one they made and one they received. Now they notice something odd: if your original number is $x$, your right-neighbor’s is $y$, and the next person over is $z$, then for every trio in the circle they see

$$ x + z = (2 - x)\,y. $$
They want as many friends as possible before this breaks (since all stones must stay distinct).

How many friends can sit in that circle at most?
0 replies
Arytva
2 hours ago
0 replies
J
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Reflected point lies on radical axis
Mahdi_Mashayekhi   7
N 2 hours ago by amogususususus
Source: Iran 2025 second round P4
Given is an acute and scalene triangle $ABC$ with circumcenter $O$. $BO$ and $CO$ intersect the altitude from $A$ to $BC$ at points $P$ and $Q$ respectively. $X$ is the circumcenter of triangle $OPQ$ and $O'$ is the reflection of $O$ over $BC$. $Y$ is the second intersection of circumcircles of triangles $BXP$ and $CXQ$. Show that $X,Y,O'$ are collinear.
7 replies
Mahdi_Mashayekhi
Apr 19, 2025
amogususususus
2 hours ago
J
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AIME qual outside US?
daijobu   11
N Today at 2:59 AM by CatCatHead
Can students outside the US take the AIME if they earn a qualifying score?
11 replies
daijobu
Friday at 7:10 PM
CatCatHead
Today at 2:59 AM
J
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Mustang Math Recruitment is Open!
MustangMathTournament   8
N Today at 2:54 AM by Henry2020
The Interest Form for joining Mustang Math is open!

Hello all!

We're Mustang Math, and we are currently recruiting for the 2025-2026 year! If you are a high school or college student and are passionate about promoting an interest in competition math to younger students, you should strongly consider filling out the following form: https://link.mustangmath.com/join. Every member in MM truly has the potential to make a huge impact, no matter your experience!

About Mustang Math

Mustang Math is a nonprofit organization of high school and college volunteers that is dedicated to providing middle schoolers access to challenging, interesting, fun, and collaborative math competitions and resources. Having reached over 4000 U.S. competitors and 1150 international competitors in our first six years, we are excited to expand our team to offer our events to even more mathematically inclined students.

PROJECTS
We have worked on various math-related projects. Our annual team math competition, Mustang Math Tournament (MMT) recently ran. We hosted 8 in-person competitions based in Washington, NorCal, SoCal, Illinois, Georgia, Massachusetts, Nevada and New Jersey, as well as an online competition run nationally. In total, we had almost 900 competitors, and the students had glowing reviews of the event. MMT International will once again be running later in August, and with it, we anticipate our contest to reach over a thousand students.

In our classes, we teach students math in fun and engaging math lessons and help them discover the beauty of mathematics. Our aspiring tech team is working on a variety of unique projects like our website and custom test platform. We also have a newsletter, which, combined with our social media presence, helps to keep the mathematics community engaged with cool puzzles, tidbits, and information about the math world! Our design team ensures all our merch and material is aesthetically pleasing.

Some highlights of this past year include 1000+ students in our classes, AMC10 mock with 150+ participants, our monthly newsletter to a subscriber base of 6000+, creating 8 designs for 800 pieces of physical merchandise, as well as improving our custom website (mustangmath.com, 20k visits) and test-taking platform (comp.mt, 6500+ users).

Why Join Mustang Math?

As a non-profit organization on the rise, there are numerous opportunities for volunteers to share ideas and suggest projects that they are interested in. Through our organizational structure, members who are committed have the opportunity to become a part of the leadership team. Overall, working in the Mustang Math team is both a fun and fulfilling experience where volunteers are able to pursue their passion all while learning how to take initiative and work with peers. We welcome everyone interested in joining!

More Information

To learn more, visit https://link.mustangmath.com/RecruitmentInfo. If you have any questions or concerns, please email us at contact@mustangmath.com.

https://link.mustangmath.com/join
8 replies
MustangMathTournament
May 24, 2025
Henry2020
Today at 2:54 AM
J
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MOP Emails Out! (not clickbait)
Mathandski   106
N Today at 2:32 AM by CheerfulZebra68
What an emotional roller coaster the past 34 days have been.

Congrats to all that qualified!
106 replies
Mathandski
Apr 22, 2025
CheerfulZebra68
Today at 2:32 AM
J
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BIG BEEF BETWEEN MATHMATICANS (EXPOSED!!!!!) [MathEXplained Magazine]
yolk_eggg   0
Today at 2:17 AM
Source: https://mathexplained.github.io/
Hey AOPS!!!!! :D :D :D :D :D

Hope you're all excited for the summer! As the summer approaches and you're all beginning to get back on the math grind I hope that you'll all also do some leisurely math reading/discovery!!

Check out this month's MathEXplained Magazine issue where we explore:
1. The math behind sports betting
2. The birthday paradox
3. Mathematicians born in May and their contributions to math
4. The ulam spiral
5. The surprising past behind the cubic formula (INSANE BEEF)

You can read this months issue on our website at https://mathexplained.github.io/ or on this google drive file

Additionally, if you are interested in sharing our own niche mathematical interests, I would encourage you to apply for a staff position at: [url][/url]https://tinyurl.com/MEXapply

Don't forget to join our discord server at https://tinyurl.com/MEXplained to let us know who's side you're on!!
0 replies
yolk_eggg
Today at 2:17 AM
0 replies
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Discuss the Stanford Math Tournament Here
Aaronjudgeisgoat   302
N Apr 23, 2025 by BS2012
I believe discussion is allowed after yesterday at midnight, correct?
If so, I will put tentative answers on this thread.
By the way, does anyone know the answer to Geometry Problem 5? I was wondering if I got that one right
Also, if you put answers, please put it in a hide tag

Answers for the Algebra Subject Test
Estimated Algebra Cutoffs
Answers for the Geometry Subject Test
Estimated Geo Cutoffs
Answers for the Discrete Subject Test
Estimated Cutoffs for Discrete
Answers for the Team Round
Guts Answers
302 replies
Aaronjudgeisgoat
Apr 14, 2025
BS2012
Apr 23, 2025
J
Discuss the Stanford Math Tournament Here
G H J
Reveal topic tags
L
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Charizard_637
125 posts
Charizard_637
#298 h  Apr 22, 2025, 4:07 AM
Y by
megarnie wrote:
11101 10000 on alg (sillied the factorization on p4)

11111 11000 on discrete

i also sillied team p12 by doing 37 + 41 = 80

I swear ive met you on the discord
Z K Y
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Ruegerbyrd
1108 posts
Ruegerbyrd
#299 h  Apr 22, 2025, 4:33 AM
Y by
did they send full awards yet
Z K Y
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techb
309 posts
techb
#300 h  Apr 22, 2025, 6:09 AM
Y by
No. They haven't sent it yet. When will they send it ?
Does anyone have any past years' examples to give?
Like last year after the awards ceremony, how many days later did they give the score reports and awards?
Z K Y
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Ruegerbyrd
1108 posts
Ruegerbyrd
#301 h  Apr 22, 2025, 4:04 PM
Y by
THey said they would send this week, I think they did take awhile last year but it was less strict with the grading and all that so technically this year could take way longer
Z K Y
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vincentwant
1446 posts
vincentwant
#302 h  Apr 22, 2025, 4:05 PM
Y by
megarnie wrote:
the answer to discrete p10 is 5/12 and not sqrt(2) - 1 (apparently this was confirmed by the smt director)

ook
11111 10000 on both ig
is p8 definitely 157/40 then
This post has been edited 1 time. Last edited by vincentwant, Apr 22, 2025, 4:05 PM
Z K Y
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megarnie
5611 posts
megarnie
#303 h  Apr 22, 2025, 5:09 PM
Y by
vincentwant wrote:
megarnie wrote:
the answer to discrete p10 is 5/12 and not sqrt(2) - 1 (apparently this was confirmed by the smt director)

ook
11111 10000 on both ig
is p8 definitely 157/40 then

yes (someone ik who put that got the score they were expecting with no correct guesses)
Z K Y
The post below has been deleted. Click to close.
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megarnie
5611 posts
megarnie
#304 h  Apr 22, 2025, 5:10 PM
Y by
Charizard_637 wrote:
megarnie wrote:
11101 10000 on alg (sillied the factorization on p4)

11111 11000 on discrete

i also sillied team p12 by doing 37 + 41 = 80

I swear ive met you on the discord

yes you have (you can probably figure out who i am as well)
Z K Y
The post below has been deleted. Click to close.
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vincentwant
1446 posts
vincentwant
#305 h  Apr 22, 2025, 5:40 PM
Y by
megarnie wrote:
vincentwant wrote:
megarnie wrote:
the answer to discrete p10 is 5/12 and not sqrt(2) - 1 (apparently this was confirmed by the smt director)

ook
11111 10000 on both ig
is p8 definitely 157/40 then

yes (someone ik who put that got the score they were expecting with no correct guesses)

yeee i put 24/5 :D
Z K Y
The post below has been deleted. Click to close.
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lpieleanu
3008 posts
lpieleanu
#306 h  Apr 23, 2025, 2:44 AM
Y by
vincentwant wrote:
megarnie wrote:
vincentwant wrote:

ook
11111 10000 on both ig
is p8 definitely 157/40 then

yes (someone ik who put that got the score they were expecting with no correct guesses)

yeee i put 24/5 :D

I put 24/5 as well :(
Z K Y
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Orthogonal.
594 posts
Orthogonal.
#307 h  Apr 23, 2025, 4:03 AM
Y by
megarnie wrote:
Charizard_637 wrote:
megarnie wrote:
11101 10000 on alg (sillied the factorization on p4)

11111 11000 on discrete

i also sillied team p12 by doing 37 + 41 = 80

I swear ive met you on the discord

yes you have (you can probably figure out who i am as well)

hi arnov (admits)
Z K Y
The post below has been deleted. Click to close.
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Munmun5
80 posts
Munmun5
#308 h  Apr 23, 2025, 6:44 AM
Y by
techb wrote:
No. They haven't sent it yet. When will they send it ?
Does anyone have any past years' examples to give?
Like last year after the awards ceremony, how many days later did they give the score reports and awards?

Last year , grading was released before award ceremony , score reports and certificates were given at the end of the month . You all can email them for atleast to release the grading .
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techb
309 posts
techb
#309 h  Apr 23, 2025, 7:32 AM
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Munmun5 wrote:
techb wrote:
No. They haven't sent it yet. When will they send it ?
Does anyone have any past years' examples to give?
Like last year after the awards ceremony, how many days later did they give the score reports and awards?

Last year , grading was released before award ceremony , score reports and certificates were given at the end of the month . You all can email them for atleast to release the grading .

I already emailed them. I guess the score reports, certificates, and the question papers will be given at the end of April.
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Munmun5
80 posts
Munmun5
#310 h  Apr 23, 2025, 5:11 PM
Y by
techb wrote:
Munmun5 wrote:
techb wrote:
No. They haven't sent it yet. When will they send it ?
Does anyone have any past years' examples to give?
Like last year after the awards ceremony, how many days later did they give the score reports and awards?

Last year , grading was released before award ceremony , score reports and certificates were given at the end of the month . You all can email them for atleast to release the grading .

I already emailed them. I guess the score reports, certificates, and the question papers will be given at the end of April.

Then when will they release the grading ? There may be error in the grading , they should release that earlier .
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Inaaya
423 posts
Inaaya
#311 h  Apr 23, 2025, 6:40 PM
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any information about general answers and cutoffs?
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BS2012
1058 posts
BS2012
#312 h  Apr 23, 2025, 6:47 PM
Y by
Inaaya wrote:
any information about general answers and cutoffs?

online t10 was 20
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