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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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All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
May 1, 2025
0 replies
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
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
An FE. Who woulda thunk it?
nikenissan   116
N 2 minutes ago by anudeep
Source: 2021 USAJMO Problem 1
Let $\mathbb{N}$ denote the set of positive integers. Find all functions $f : \mathbb{N} \rightarrow \mathbb{N}$ such that for positive integers $a$ and $b,$ \[f(a^2 + b^2) = f(a)f(b) \text{ and } f(a^2) = f(a)^2.\]
116 replies
1 viewing
nikenissan
Apr 15, 2021
anudeep
2 minutes ago
Disjoint Pairs
MithsApprentice   42
N an hour ago by endless_abyss
Source: USAMO 1998
Suppose that the set $\{1,2,\cdots, 1998\}$ has been partitioned into disjoint pairs $\{a_i,b_i\}$ ($1\leq i\leq 999$) so that for all $i$, $|a_i-b_i|$ equals $1$ or $6$. Prove that the sum \[ |a_1-b_1|+|a_2-b_2|+\cdots +|a_{999}-b_{999}|  \] ends in the digit $9$.
42 replies
MithsApprentice
Oct 9, 2005
endless_abyss
an hour ago
FE with gcd
a_507_bc   8
N an hour ago by Tkn
Source: Nordic MC 2023 P2
Find all functions $f: \mathbb{N} \to \mathbb{N}$ such that $$\gcd(f(x),y)f(xy)=f(x)f(y)$$for all positive integers $x, y$.
8 replies
a_507_bc
Apr 21, 2023
Tkn
an hour ago
2014 JBMO Shortlist G1
parmenides51   19
N an hour ago by tilya_TASh
Source: 2014 JBMO Shortlist G1
Let ${ABC}$ be a triangle with $m\left( \angle B \right)=m\left( \angle C \right)={{40}^{{}^\circ }}$ Line bisector of ${\angle{B}}$ intersects ${AC}$ at point ${D}$. Prove that $BD+DA=BC$.
19 replies
parmenides51
Oct 8, 2017
tilya_TASh
an hour ago
Stars and bars i think
RenheMiResembleRice   1
N 2 hours ago by NicoN9
Source: Diao Luo
Solve the following attached with steps
1 reply
RenheMiResembleRice
2 hours ago
NicoN9
2 hours ago
Sequence
Titibuuu   1
N 2 hours ago by Titibuuu
Let \( a_1 = a \), and for all \( n \geq 1 \), define the sequence \( \{a_n\} \) by the recurrence
\[
a_{n+1} = a_n^2 + 1
\]Prove that there is no natural number \( n \) such that
\[
\prod_{k=1}^{n} \left( a_k^2 + a_k + 1 \right)
\]is a perfect square.
1 reply
Titibuuu
Today at 2:22 AM
Titibuuu
2 hours ago
2013 Japan MO Finals
parkjungmin   0
2 hours ago
help me

we cad do it
0 replies
parkjungmin
2 hours ago
0 replies
IMO ShortList 1999, algebra problem 2
orl   11
N 2 hours ago by ezpotd
Source: IMO ShortList 1999, algebra problem 2
The numbers from 1 to $n^2$ are randomly arranged in the cells of a $n \times n$ square ($n \geq 2$). For any pair of numbers situated on the same row or on the same column the ratio of the greater number to the smaller number is calculated. Let us call the characteristic of the arrangement the smallest of these $n^2\left(n-1\right)$ fractions. What is the highest possible value of the characteristic ?
11 replies
orl
Nov 14, 2004
ezpotd
2 hours ago
Coolabra
Titibuuu   2
N 2 hours ago by no_room_for_error
Let \( a, b, c \) be distinct real numbers such that
\[
a + b + c + \frac{1}{abc} = \frac{19}{2}
\]Find the maximum possible value of \( a \).
2 replies
Titibuuu
Today at 2:21 AM
no_room_for_error
2 hours ago
Hard centroid geo
lucas3617   0
2 hours ago
Source: Revenge JOM 2025 P5
A triangle $A B C$ has centroid $G$. A line parallel to $B C$ passing through $G$ intersects the circumcircle of $A B C$ at $D$. Let lines $A D$ and $B C$ intersect at $E$. Suppose a point $P$ is chosen on $B C$ such that the tangent of the circumcircle of $D E P$ at $D$, the tangent of the circumcircle of $A B C$ at $A$ and $B C$ concur. Prove that $G P = P D$.
0 replies
lucas3617
2 hours ago
0 replies
Cute construction problem
Eeightqx   5
N 2 hours ago by HHGB
Source: 2024 GPO P1
Given a triangle's intouch triangle, incenter, incircle. Try to figure out the circumcenter of the triangle with a ruler only.
5 replies
Eeightqx
Feb 14, 2024
HHGB
2 hours ago
usamOOK geometry
KevinYang2.71   106
N Yesterday at 11:54 PM by jasperE3
Source: USAMO 2025/4, USAJMO 2025/5
Let $H$ be the orthocenter of acute triangle $ABC$, let $F$ be the foot of the altitude from $C$ to $AB$, and let $P$ be the reflection of $H$ across $BC$. Suppose that the circumcircle of triangle $AFP$ intersects line $BC$ at two distinct points $X$ and $Y$. Prove that $C$ is the midpoint of $XY$.
106 replies
KevinYang2.71
Mar 21, 2025
jasperE3
Yesterday at 11:54 PM
Geo #3 EQuals FReak out
Th3Numb3rThr33   106
N Yesterday at 10:56 PM by BS2012
Source: 2018 USAJMO #3
Let $ABCD$ be a quadrilateral inscribed in circle $\omega$ with $\overline{AC} \perp \overline{BD}$. Let $E$ and $F$ be the reflections of $D$ over lines $BA$ and $BC$, respectively, and let $P$ be the intersection of lines $BD$ and $EF$. Suppose that the circumcircle of $\triangle EPD$ meets $\omega$ at $D$ and $Q$, and the circumcircle of $\triangle FPD$ meets $\omega$ at $D$ and $R$. Show that $EQ = FR$.
106 replies
Th3Numb3rThr33
Apr 18, 2018
BS2012
Yesterday at 10:56 PM
Aime ll 2022 problem 5
Rook567   4
N Yesterday at 9:02 PM by Rook567
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?
4 replies
Rook567
Thursday at 9:08 PM
Rook567
Yesterday at 9:02 PM
239 lyceum math Olympiad
R8kt   10
N Apr 8, 2025 by fake123
Hello,
Does anyone know if it’s possible to find the solutions to the 239 Lyceum open math Olympiad somewhere online? Even if it’s in Russian, it would still be okay?
10 replies
R8kt
Mar 9, 2023
fake123
Apr 8, 2025
239 lyceum math Olympiad
G H J
G H BBookmark kLocked kLocked NReply
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R8kt
303 posts
#1
Y by
Hello,
Does anyone know if it’s possible to find the solutions to the 239 Lyceum open math Olympiad somewhere online? Even if it’s in Russian, it would still be okay?
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a_507_bc
678 posts
#2
Y by
There are no online solutions, as they are published in books called St. Petersburg Mathematical Olympiads for students and they is available only in Russian bookstores (there is such a book for every year, and afaik the book for 2022 is still not out).
This post has been edited 1 time. Last edited by a_507_bc, Mar 9, 2023, 3:37 PM
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R8kt
303 posts
#3
Y by
I know you said that those books are only available in Russian bookstores, but is it possible to acquire them from outside of Russia? (For example by delivery)
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a_507_bc
678 posts
#4
Y by
Yes, it is; some bookstores deliver outside Russia (I am also outside Russia and I got delivered some of these books two years ago).
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R8kt
303 posts
#5
Y by
Perhaps you remember which ones provide such a services?
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a_507_bc
678 posts
#6
Y by
Here is one example: https://urss.ru/cgi-bin/db.pl?lang=Ru&blang=ru&page=Book&id=276447 (this is the 2020 book from the the bookstore "urss")
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dvf
15 posts
#7
Y by
This is the online store of the publisher who produces those books every year.

https://biblio.mccme.ru/

It is in Russian but it can be easily read using Google Translate. E.g., on this search page the first dozen booklets (and books) are the ones mentioned above:

https://biblio.mccme.ru/catalog?fuzzy_everywhere=%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8%20%D1%81%D0%B0%D0%BD%D0%BA%D1%82-%D0%BF%D0%B5%D1%82%D0%B5%D1%80%D0%B1%D1%83%D1%80%D0%B3%D1%81%D0%BA%D0%BE%D0%B9%20%D0%BE%D0%BB%D0%B8%D0%BC%D0%BF%D0%B8%D0%B0%D0%B4%D1%8B%20%D1%88%D0%BA%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%BF%D0%BE%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5%20

They will ship to the USA. However, there is one major problem - due to sanctions you will not be able to pay for the books. The online payment systems accepted in Russia (MIR, Yandex.Money etc) are not generally available to a regular citizen of the US or Western Europe. If you have someone in Russia or in the US who could pay and make the order you want, great! Otherwise, you'd have to wait until the financial communications are restored.
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sadas123
1269 posts
#8
Y by
dvf wrote:
This is the online store of the publisher who produces those books every year.

https://biblio.mccme.ru/

It is in Russian but it can be easily read using Google Translate. E.g., on this search page the first dozen booklets (and books) are the ones mentioned above:

https://biblio.mccme.ru/catalog?fuzzy_everywhere=%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8%20%D1%81%D0%B0%D0%BD%D0%BA%D1%82-%D0%BF%D0%B5%D1%82%D0%B5%D1%80%D0%B1%D1%83%D1%80%D0%B3%D1%81%D0%BA%D0%BE%D0%B9%20%D0%BE%D0%BB%D0%B8%D0%BC%D0%BF%D0%B8%D0%B0%D0%B4%D1%8B%20%D1%88%D0%BA%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%BF%D0%BE%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5%20

They will ship to the USA. However, there is one major problem - due to sanctions you will not be able to pay for the books. The online payment systems accepted in Russia (MIR, Yandex.Money etc) are not generally available to a regular citizen of the US or Western Europe. If you have someone in Russia or in the US who could pay and make the order you want, great! Otherwise, you'd have to wait until the financial communications are restored.

why did you bump this 2 years?
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dvf
15 posts
#9
Y by
mostly because I know the answer to the question that was asked (but I rarely come to this forum)
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Lhaj3
145 posts
#10
Y by
orz thanks
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fake123
93 posts
#11
Y by
sadas123 wrote:
dvf wrote:
This is the online store of the publisher who produces those books every year.

https://biblio.mccme.ru/

It is in Russian but it can be easily read using Google Translate. E.g., on this search page the first dozen booklets (and books) are the ones mentioned above:

https://biblio.mccme.ru/catalog?fuzzy_everywhere=%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8%20%D1%81%D0%B0%D0%BD%D0%BA%D1%82-%D0%BF%D0%B5%D1%82%D0%B5%D1%80%D0%B1%D1%83%D1%80%D0%B3%D1%81%D0%BA%D0%BE%D0%B9%20%D0%BE%D0%BB%D0%B8%D0%BC%D0%BF%D0%B8%D0%B0%D0%B4%D1%8B%20%D1%88%D0%BA%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%BF%D0%BE%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5%20

They will ship to the USA. However, there is one major problem - due to sanctions you will not be able to pay for the books. The online payment systems accepted in Russia (MIR, Yandex.Money etc) are not generally available to a regular citizen of the US or Western Europe. If you have someone in Russia or in the US who could pay and make the order you want, great! Otherwise, you'd have to wait until the financial communications are restored.

why did you bump this 2 years?

bro bumping a 2 year old thread is not the end of the world
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