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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
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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
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Aime ll 2022 problem 5
Rook567   1
N 9 minutes ago by clarkculus
I don’t understand the solution. I got 220 as answer. Why does it insist, for example two primes must add to the third, when you can take 2,19,19 or 2,7,11 which for drawing purposes is equivalent to 1,1,2 and 2,7,9?
1 reply
Rook567
40 minutes ago
clarkculus
9 minutes ago
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Are We Sure This Is Art of Problem Solving? Cuz Y’all Solving NOTHING
Homulilly   8
N 18 minutes ago by tringle
i’ve been scrolling through these "I didn't get into MOP/RSI/Mathcamp " posts for an hour and i deadass gotta ask how tf this site still called Art of Problem Solving when most of y’all treat basic algebra like it’s rocket science

Every other thread:

"Can someone explain why 2+2 = 4?"

"I got a 15 on the AMC10, can I get into Harvard?"

"I didn't get into any camps, is it over for me?" (yes lmao)

y’all writing 3,000-word sob essays about not getting into a camp where the qualifying question was literally "define a group." I’ve seen calculators with more mathematical intuition than most of hte users on this site.

Maybe the real summer camp is the remedial math class we made along the way.

At this point AoPS should rebrand as AoCP: Art of Coping with Problems fr fr
8 replies
1 viewing
Homulilly
an hour ago
tringle
18 minutes ago
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MathILy 2025 Decisions Thread
mysterynotfound   41
N 37 minutes ago by cappucher
Discuss your decisions here!
also share any relevant details about your decisions if you want
41 replies
mysterynotfound
Apr 21, 2025
cappucher
37 minutes ago
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9 ARML Location
deduck   37
N an hour ago by imbadatmath1233
UNR -> Nevada
St Anselm -> New Hampshire
PSU -> Pennsylvania
WCU -> North Carolina


Put your USERNAME in the list ONLY IF YOU WANT TO!!!! !!!!!

I'm going to UNR if anyone wants to meetup!!! :D

Current List:
Iowa
UNR
PSU
St Anselm
WCU
37 replies
deduck
May 6, 2025
imbadatmath1233
an hour ago
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Functional equation with a twist (it's number theory)
Davdav1232   0
an hour ago
Source: Israel TST 8 2025 p2
Prove that for all primes \( p \) such that \( p \equiv 3 \pmod{4} \) or \( p \equiv 5 \pmod{8} \), there exist integers
\[ 1 \leq a_1 < a_2 < \cdots < a_{(p-1)/2} < p \]such that
\[ \prod_{\substack{1 \leq i < j \leq (p-1)/2}} (a_i + a_j)^2 \equiv 1 \pmod{p}. \]
0 replies
Davdav1232
an hour ago
0 replies
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Grid combi with T-tetrominos
Davdav1232   0
an hour ago
Source: Israel TST 8 2025 p1
Let \( f(N) \) denote the maximum number of \( T \)-tetrominoes that can be placed on an \( N \times N \) board such that each \( T \)-tetromino covers at least one cell that is not covered by any other \( T \)-tetromino.

Find the smallest real number \( c \) such that
\[ f(N) \leq cN^2 \]for all positive integers \( N \).
0 replies
Davdav1232
an hour ago
0 replies
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forced vertices in graphs
Davdav1232   0
an hour ago
Source: Israel TST 7 2025 p2
Let \( G \) be a graph colored using \( k \) colors. We say that a vertex is forced if it has neighbors in all the other \( k - 1 \) colors.

Prove that for any \( 2024 \)-regular graph \( G \), there exists a coloring using \( 2025 \) colors such that at least \( 1013 \) of the colors have a forced vertex of that color.

Note: The graph coloring must be valid, this means no \( 2 \) vertices of the same color may be adjacent.
0 replies
Davdav1232
an hour ago
0 replies
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Can this sequence be bounded?
darij grinberg   70
N an hour ago by ezpotd
Source: German pre-TST 2005, problem 4, ISL 2004, algebra problem 2
Let $a_0$, $a_1$, $a_2$, ... be an infinite sequence of real numbers satisfying the equation $a_n=\left|a_{n+1}-a_{n+2}\right|$ for all $n\geq 0$, where $a_0$ and $a_1$ are two different positive reals.

Can this sequence $a_0$, $a_1$, $a_2$, ... be bounded?

Proposed by Mihai Bălună, Romania
70 replies
darij grinberg
Jan 19, 2005
ezpotd
an hour ago
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find angle
TBazar   4
N 2 hours ago by vanstraelen
Given $ABC$ triangle with $AC>BC$. We take $M$, $N$ point on AC, AB respectively such that $AM=BC$, $CM=BN$. $BM$, $AN$ lines intersect at point $K$. If $2\angle AKM=\angle ACB$, find $\angle ACB$
4 replies
TBazar
Today at 6:57 AM
vanstraelen
2 hours ago
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Polys with int coefficients
adihaya   4
N 2 hours ago by sangsidhya
Source: 2012 INMO (India National Olympiad), Problem #3
Define a sequence $<f_0 (x), f_1 (x), f_2 (x), \dots>$ of functions by $$f_0 (x) = 1$$$$f_1(x)=x$$$$(f_n(x))^2 - 1 = f_{n+1}(x) f_{n-1}(x)$$for $n \ge 1$. Prove that each $f_n (x)$ is a polynomial with integer coefficients.
4 replies
adihaya
Mar 30, 2016
sangsidhya
2 hours ago
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Italian WinterCamps test07 Problem4
mattilgale   89
N 2 hours ago by cj13609517288
Source: ISL 2006, G3, VAIMO 2007/5
Let $ ABCDE$ be a convex pentagon such that
\[ \angle BAC = \angle CAD = \angle DAE\qquad \text{and}\qquad \angle ABC = \angle ACD = \angle ADE. \]The diagonals $BD$ and $CE$ meet at $P$. Prove that the line $AP$ bisects the side $CD$.

Proposed by Zuming Feng, USA
89 replies
mattilgale
Jan 29, 2007
cj13609517288
2 hours ago
J
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Simple triangle geometry [a fixed point]
darij grinberg   49
N 2 hours ago by cj13609517288
Source: German TST 2004, IMO ShortList 2003, geometry problem 2
Three distinct points $A$, $B$, and $C$ are fixed on a line in this order. Let $\Gamma$ be a circle passing through $A$ and $C$ whose center does not lie on the line $AC$. Denote by $P$ the intersection of the tangents to $\Gamma$ at $A$ and $C$. Suppose $\Gamma$ meets the segment $PB$ at $Q$. Prove that the intersection of the bisector of $\angle AQC$ and the line $AC$ does not depend on the choice of $\Gamma$.
49 replies
darij grinberg
May 18, 2004
cj13609517288
2 hours ago
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Kosovo MO 2010 Problem 5
Com10atorics   19
N 2 hours ago by CM1910
Source: Kosovo MO 2010 Problem 5
Let $x,y$ be positive real numbers such that $x+y=1$. Prove that
$\left(1+\frac {1}{x}\right)\left(1+\frac {1}{y}\right)\geq 9$.
19 replies
Com10atorics
Jun 7, 2021
CM1910
2 hours ago
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Hard combi
EeEApO   1
N 3 hours ago by EeEApO
In a quiz competition, there are a total of $100 $questions, each with $4$ answer choices. A participant who answers all questions correctly will receive a gift. To ensure that at least one member of my family answers all questions correctly, how many family members need to take the quiz?

Now, suppose my spouse and I move into a new home. Every year, we have twins. Starting at the age of $16$, each of our twin children also begins to have twins every year. If this pattern continues, how many years will it take for my family to grow large enough to have the required number of members to guarantee winning the quiz gift?
1 reply
EeEApO
4 hours ago
EeEApO
3 hours ago
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USA(J)MO Statistics Out
BS2012   53
N Apr 24, 2025 by maxamc
Source: MAA edvistas page
https://maa.edvistas.com/eduview/report.aspx?view=1561&mode=6
who were the 2 usamo perfects
53 replies
BS2012
Apr 23, 2025
maxamc
Apr 24, 2025
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USA(J)MO Statistics Out
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Reveal topic tags
USA(J)MO
USAJMO
USAMO
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Source: MAA edvistas page
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blueprimes
353 posts
blueprimes
#48 h  Apr 24, 2025, 9:00 PM • 2 Y
Y by Arcticturn, elasticwealth
joebub56 wrote:
I would argue mts is more fair than amc. Why is a multiple choice test being factored into oly qualification?? And honestly cheating isnt even a big issue because of the way mts is structured. The whole point is for the competition to be more open and not under time pressure

This has to be ragebait...

AMC is multiple choice and Scantron graded because there are tens of thousands of people taking AMC ever year. Nobody is grading thousands of proofs. And as said before, USAMTS is discontinuous over a month and allows all resources whereas olympiad is 4.5 hours so it is terrible at discerning olympiad skill
This post has been edited 3 times. Last edited by blueprimes, Apr 24, 2025, 9:03 PM
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joebub56
14 posts
joebub56
#49 h  Apr 24, 2025, 9:04 PM
Y by
blueprimes wrote:
joebub56 wrote:
I would argue mts is more fair than amc. Why is a multiple choice test being factored into oly qualification?? And honestly cheating isnt even a big issue because of the way mts is structured. The whole point is for the competition to be more open and not under time pressure

This has to be ragebait...

AMC is multiple choice and Scantron graded because there are tens of thousands of people taking AMC ever year. Nobody is grading thousands of proofs. And as said before, USAMTS is discontinuous over a month and allows all resources whereas olympiad is 4.5 hours so it is terrible at discerning olympiad skill

I

This doesn’t disprove my point? At the end of the day a multiple choice test is a horrible indicator of olympiad skill. Also its not like mts directly determines oly qualification either theres still aime
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ethan2011
314 posts
ethan2011
#50 h  Apr 24, 2025, 9:06 PM • 1 Y
Y by elasticwealth
joebub56 wrote:
I would argue mts is more fair than amc. Why is a multiple choice test being factored into oly qualification?? And honestly cheating isnt even a big issue because of the way mts is structured. The whole point is for the competition to be more open and not under time pressure

Why is a proof test that allows AI and coding factored into oly qualification?
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joebub56
14 posts
joebub56
#51 h  Apr 24, 2025, 9:17 PM
Y by
ethan2011 wrote:
joebub56 wrote:
I would argue mts is more fair than amc. Why is a multiple choice test being factored into oly qualification?? And honestly cheating isnt even a big issue because of the way mts is structured. The whole point is for the competition to be more open and not under time pressure

Why is a proof test that allows AI and coding factored into oly qualification?

its not like ai and coding can do the whole thing for you. and even if you solve a problem with the help of ai, thats still better than doing multiple choice
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jellybeanzzz
497 posts
jellybeanzzz
#52 h  Apr 24, 2025, 9:18 PM
Y by
Honestly I felt that anyone capable of solving all the problems would do it in a few hours. (For example I spent ~15 hours across all 3 contests which was 15 questions + writeups.) So at least for me, the “you get 1 month” thing doesn’t make it different from oly time constraints.

Also several things
1. AI is not allowed
2. The hard step of solving problems with code isn’t the coding itself, it’s proving that your code is rigorous. Most problems this year weren’t solvable with code either.
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joebub56
14 posts
joebub56
#53 h  Apr 24, 2025, 9:21 PM
Y by
jellybeanzzz wrote:
Honestly I felt that anyone capable of solving all the problems would do it in a few hours. (For example I spent ~15 hours across all 3 contests which was 15 questions + writeups.) So at least for me, the “you get 1 month” thing doesn’t make it different from oly time constraints.

Also several things
1. AI is not allowed
2. The hard step of solving problems with code isn’t the coding itself, it’s proving that your code is rigorous. Most problems this year weren’t solvable with code either.

ai is allowed but only for certain things. like you cant just give it the whole problem but you can ask things like "useful formulas for combinatorics". and thats all ai is good for anyways so yeah its not even a big deal
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ethan2011
314 posts
ethan2011
#54 h  Apr 24, 2025, 9:32 PM
Y by
joebub56 wrote:
jellybeanzzz wrote:
Honestly I felt that anyone capable of solving all the problems would do it in a few hours. (For example I spent ~15 hours across all 3 contests which was 15 questions + writeups.) So at least for me, the “you get 1 month” thing doesn’t make it different from oly time constraints.

Also several things
1. AI is not allowed
2. The hard step of solving problems with code isn’t the coding itself, it’s proving that your code is rigorous. Most problems this year weren’t solvable with code either.

ai is allowed but only for certain things. like you cant just give it the whole problem but you can ask things like "useful formulas for combinatorics". and thats all ai is good for anyways so yeah its not even a big deal

you can use AI and they won't notice
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jellybeanzzz
497 posts
jellybeanzzz
#55 h  Apr 24, 2025, 9:35 PM
Y by
ethan2011 wrote:
you can use AI and they won't notice

They noticed actually! They banned dozens of people in just the first round. That’s dozens more bans than AMC cheaters got!
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LostRiptide
29 posts
LostRiptide
#56 h  Apr 24, 2025, 9:40 PM
Y by
jellybeanzzz wrote:
ethan2011 wrote:
you can use AI and they won't notice

They noticed actually! They banned dozens of people in just the first round. That’s dozens more bans than AMC cheaters got!

Makes a very cheatable contest
Bans some of the many cheaters
Many cheaters still remain
SEE! WE'RE BETTER THAN YOU!!! ah argument
Also AMC cheaters also get mass banned bro
This post has been edited 2 times. Last edited by LostRiptide, Apr 24, 2025, 9:46 PM
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BS2012
1033 posts
BS2012
#57 h  Apr 24, 2025, 9:40 PM
Y by
also who said that the only way to cheat on usamts is to use ai
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xTimmyG
265 posts
xTimmyG
#58 h  Apr 24, 2025, 10:27 PM • 7 Y
Y by hsuya1, blueprimes, MathPerson12321, elasticwealth, megarnie, Andyluo, lpieleanu
Anyone who thinks USAMTS cannot be cheated is extremely wrong. People can easily ask AI for a solution, then put it in their own words, so that it is undetectable. Contestants can also just groupsolve or share answers. Something needs to be done about this, as this allows for people who would've gotten a terrible score on the amc (like 50) to easily qualify for AIME.
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bwu_2022
53 posts
bwu_2022
#59 h  Apr 24, 2025, 10:52 PM
Y by
We will see about it next year. I bet the number of people who attend USAMTA will increase significantly.

Look at the leaderboard: https://www.usamts.org/leaderboard/. 6 people got full points last year, and this year, it was 54.
This post has been edited 1 time. Last edited by bwu_2022, Apr 25, 2025, 1:30 AM
Reason: Accuracy
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TiguhBabeHwo
469 posts
TiguhBabeHwo
#60 h  Apr 24, 2025, 11:12 PM
Y by
Well yeah obviously because it's the most widespread information in all of jmo qualification threads at this point
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bachkieu
137 posts
bachkieu
#61 h  Apr 24, 2025, 11:13 PM
Y by
bwu_2022 wrote:
We will see about it next year. I bet the number of people who attend USAMTA will increase significantly.

Look at the leaderboard: https://www.usamts.org/leaderboard/. 6 people got full points, and this year, it was 54.

i would like to point out i got full last year and 71 this year :skull:
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maxamc
569 posts
maxamc
#62 h  Apr 24, 2025, 11:32 PM
Y by
bwu_2022 wrote:
We will see about it next year. I bet the number of people who attend USAMTA will increase significantly.

Look at the leaderboard: https://www.usamts.org/leaderboard/. 6 people got full points, and this year, it was 54.

What is USAMTA?
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