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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]
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.

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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
Goals for 2025-2026
Airbus320-214   60
N 2 minutes ago by Math4Life2020
Please write down your goal/goals for competitions here for 2025-2026.
60 replies
1 viewing
Airbus320-214
Yesterday at 8:00 AM
Math4Life2020
2 minutes ago
Summer internships/research opportunists in STEM
o99999   8
N 9 minutes ago by Craftybutterfly
Hi, I am a current high school student and was looking for internships and research opportunities in STEM. Do you guys know any summer programs that do research such as RSI, but for high school freshmen that are open?
Thanks.
8 replies
o99999
Apr 22, 2020
Craftybutterfly
9 minutes ago
9 Will I make JMO?
EaZ_Shadow   20
N an hour ago by Craftybutterfly
will I be able to make it... will the cutoffs will be pre-2024
20 replies
EaZ_Shadow
Feb 7, 2025
Craftybutterfly
an hour ago
ISI UGB 2025 P4
SomeonecoolLovesMaths   6
N 2 hours ago by Atmadeep
Source: ISI UGB 2025 P4
Let $S^1 = \{ z \in \mathbb{C} \mid |z| =1 \}$ be the unit circle in the complex plane. Let $f \colon S^1 \longrightarrow S^2$ be the map given by $f(z) = z^2$. We define $f^{(1)} \colon = f$ and $f^{(k+1)} \colon = f \circ f^{(k)}$ for $k \geq 1$. The smallest positive integer $n$ such that $f^{(n)}(z) = z$ is called the period of $z$. Determine the total number of points in $S^1$ of period $2025$.
(Hint : $2025 = 3^4 \times 5^2$)
6 replies
SomeonecoolLovesMaths
Yesterday at 11:24 AM
Atmadeep
2 hours ago
Sequence of integers
tenniskidperson3   32
N 2 hours ago by N3bula
Source: 2012 USAMO problem #3
Determine which integers $n > 1$ have the property that there exists an infinite sequence $a_1, a_2, a_3, \ldots$ of nonzero integers such that the equality \[a_k+2a_{2k}+\ldots+na_{nk}=0\]holds for every positive integer $k$.
32 replies
tenniskidperson3
Apr 24, 2012
N3bula
2 hours ago
Similar Problems
Saucepan_man02   0
2 hours ago
Could anyone post some problems which are similar to the below problem:

Find the real solution of: $$x^9+9/8 x^6+27/64 x^3-x+219/512.$$
Sol(outline)
0 replies
Saucepan_man02
2 hours ago
0 replies
Inequality
Sadigly   2
N 3 hours ago by sqing
Source: Azerbaijan Senior NMO 2019
Prove that for any $a;b;c\in\mathbb{R^+}$, we have $$(a+b)^2+(a+b+4c)^2\geq \frac{100abc}{a+b+c}$$When does the equality hold?
2 replies
Sadigly
Yesterday at 8:47 PM
sqing
3 hours ago
Easy inequality...
Sadigly   1
N 3 hours ago by lbh_qys
Source: Azerbaijan Senior NMO 2020
$x,y,z\in\mathbb{R^+}$. If $xyz=1$, then prove the following: $$\sum\frac{x^6+2}{x^3}\geq3(\frac{x}{y}+\frac{y}{z}+\frac{z}{x})$$
1 reply
Sadigly
Yesterday at 9:57 PM
lbh_qys
3 hours ago
Set Partition
Butterfly   0
5 hours ago
For the set of positive integers $\{1,2,…,n\}(n\ge 3)$, no matter how its elements are partitioned into two subsets, at least one of the subsets must contain three numbers $a,b,c$ ($a=b$ is allowed) such that $ab=c$. Find the minimal $n$.
0 replies
Butterfly
5 hours ago
0 replies
System of equations in juniors' exam
AlperenINAN   2
N Yesterday at 11:31 PM by Assassino9931
Source: Turkey JBMO TST 2025 P3
Find all positive real solutions $(a, b, c)$ to the following system:
$$
\begin{aligned}
a^2 + \frac{b}{a} &= 8, \\
ab + c^2 &= 18, \\
3a + b + c &= 9\sqrt{3}.
\end{aligned}
$$
2 replies
AlperenINAN
Yesterday at 7:41 PM
Assassino9931
Yesterday at 11:31 PM
Minimum value of a 3 variable expression
bin_sherlo   4
N Yesterday at 11:08 PM by Assassino9931
Source: Türkiye 2025 JBMO TST P6
Find the minimum value of
\[\frac{x^3+1}{(y-1)(z+1)}+\frac{y^3+1}{(z-1)(x+1)}+\frac{z^3+1}{(x-1)(y+1)}\]where $x,y,z>1$ are reals.
4 replies
bin_sherlo
Yesterday at 7:16 PM
Assassino9931
Yesterday at 11:08 PM
Polynomial...
Sadigly   0
Yesterday at 10:23 PM
Source: Azerbaijan Senior NMO 2020
Find all nonzero polynomials $P(x)$ with real coefficents, that satisfies $$P(x)^3+3P(x)^2=P(x^3)-3P(-x)$$for all real numbers $x$
0 replies
Sadigly
Yesterday at 10:23 PM
0 replies
Easy algebra
Sadigly   1
N Yesterday at 10:03 PM by Vivaandax
Source: Azerbaijan Junior NMO 2018
$x^{11}+x^7+x^3=1$. $$x^{\alpha}=x^4+x^3-1.\hspace{4mm} \alpha=?$$
1 reply
Sadigly
Yesterday at 9:26 PM
Vivaandax
Yesterday at 10:03 PM
For an advanced method, search Lagrange Interpolation (those who knows)
Sadigly   2
N Yesterday at 10:02 PM by Sadigly
Source: Azerbaijan Senior NMO 2018
$P(x)$ is a fifth degree polynomial. $P(2018)=1$, $P(2019)=2$ $P(2020)=3$, $P(2021)=4$, $P(2022)=5$. $P(2017)=?$
2 replies
Sadigly
Yesterday at 9:47 PM
Sadigly
Yesterday at 10:02 PM
Question
HopefullyMcNats2025   19
N Apr 29, 2025 by MC_ADe
Is it more difficult to make MOP or make usajmo, usapho, and usabo
19 replies
HopefullyMcNats2025
Apr 7, 2025
MC_ADe
Apr 29, 2025
Question
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HopefullyMcNats2025
45 posts
#1
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Is it more difficult to make MOP or make usajmo, usapho, and usabo
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HopefullyMcNats2025
45 posts
#2
Y by
Btw Usabo and usapho no one cares, I mean usapho and usabo camps
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ConfidentKoala4
611 posts
#3
Y by
all hard, usabo prolly easiest
mop prolly hardest
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HopefullyMcNats2025
45 posts
#4
Y by
Thanks man
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xHypotenuse
778 posts
#5 • 3 Y
Y by happyhippos, aidan0626, Elephant200
No one cares about USABO/USAPhO is wild
This post has been edited 1 time. Last edited by xHypotenuse, Apr 7, 2025, 7:41 PM
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Ruegerbyrd
1089 posts
#6
Y by
MOP, USA(J)MO, usapho, usabo
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MC_ADe
183 posts
#7
Y by
u should talk about camping in these respective things instead cuz MOP is literally camping so u need to like say phys camp or bio camp not jst usapho or usabo
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TetraFish
1088 posts
#8
Y by
I think he means MOP vs making that stage in all 3 of them combined.
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LockingIN2026
5 posts
#9
Y by
TetraFish wrote:
I think he means MOP vs making that stage in all 3 of them combined.

prob the latter
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elasticwealth
343 posts
#10 • 1 Y
Y by Sunhaops
MOP >> USABO Camp > USAPhO Camp >>> USAMO Qual > JMO Qual >>> USAPhO qual / USABO Semifinal Qual > AIME
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NoSignOfTheta
1742 posts
#11
Y by
MC_ADe wrote:
u should talk about camping in these respective things instead cuz MOP is literally camping so u need to like say phys camp or bio camp not jst usapho or usabo
HopefullyMcNats2025 wrote:
Btw Usabo and usapho no one cares, I mean usapho and usabo camps
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sadas123
1299 posts
#13
Y by
elasticwealth wrote:
MOP >> USABO Camp > USAPhO Camp >>> USAMO Qual > JMO Qual >>> USAPhO qual / USABO Semifinal Qual > AIME

That is somewhat of the list.
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happyhippos
2199 posts
#14
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HopefullyMcNats2025 wrote:
Btw Usabo and usapho no one cares, I mean usapho and usabo camps

That's an interesting thing to say, considering USAPhO-style physics is much more relevant to actually useful real-life things than USAMO-style math.
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mdk2013
642 posts
#15
Y by
fake123 wrote:
elasticwealth wrote:
MOP >> USABO Camp > USAPhO Camp >>> USAMO Qual > JMO Qual >>> USAPhO qual / USABO Semifinal Qual > AIME

wdym qualifying for AMC 8 is harder

:ewpu: wut
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Jack_w
109 posts
#16
Y by
TetraFish wrote:
I think he means MOP vs making that stage in all 3 of them combined.

MOP harder
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nsking_1209
173 posts
#17
Y by
MOP > usabo camp > usapho camp > usaco camp > usajmo
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Sunhaops
8 posts
#18
Y by
elasticwealth wrote:
MOP >> USABO Camp > USAPhO Camp >>> USAMO Qual > JMO Qual >>> USAPhO qual / USABO Semifinal Qual > AIME

well said, only before AIME should be >> instead of >
This post has been edited 1 time. Last edited by Sunhaops, Apr 29, 2025, 6:54 PM
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xHypotenuse
778 posts
#19
Y by
Not really, usapho qual isn't severely difficult compared to aime.

Also, I think usapho camp is around equal or harder than usabo camp for sure
This post has been edited 1 time. Last edited by xHypotenuse, Apr 29, 2025, 7:38 PM
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Lijin
224 posts
#20
Y by
I thought you had to make USA(J)MO first to make MOP?
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MC_ADe
183 posts
#21
Y by
by usabo do u mean semifinals, camp or what
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