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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.

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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]
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0 replies
1 viewing
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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questions from a first-time applicant to math camps
akliu   23
N 4 minutes ago by John_Mgr
hey!! im a first time applicant for a lot of math camps (namely: usa-canada mathcamp, PROMYS, Ross, MathILY, HCSSiM), and I was just wondering:

1. how much of an effect would being a first-time applicant have on making these math camps individually?
2. I spent a huge amount of effort (like 50 or something hours) on the USA-Canada Mathcamp application quiz in particular, but I'm pretty worried because supposedly almost no first-time applicants get into the camp. Are there any first-time applicants that you know of, and what did their applications (as in, qualifying quiz solutions) look like?
3. Additionally, a lot of people give off the impression that not doing the full problem set will screw your application over, except in rare cases. How much do you think a fakesolve would impact my PROMYS application chances?

thanks in advance!
23 replies
akliu
Mar 12, 2025
John_Mgr
4 minutes ago
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combo j3 :blobheart:
rhydon516   14
N 4 minutes ago by aliz
Source: USAJMO 2025/3
Let $m$ and $n$ be positive integers, and let $\mathcal R$ be a $2m\times 2n$ grid of unit squares.

A domino is a $1\times2$ or $2\times1$ rectangle. A subset $S$ of grid squares in $\mathcal R$ is domino-tileable if dominoes can be placed to cover every square of $S$ exactly once with no domino extending outside of $S$. Note: The empty set is domino tileable.

An up-right path is a path from the lower-left corner of $\mathcal R$ to the upper-right corner of $\mathcal R$ formed by exactly $2m+2n$ edges of the grid squares.

Determine, with proof, in terms of $m$ and $n$, the number of up-right paths that divide $\mathcal R$ into two domino-tileable subsets.
14 replies
+1 w
rhydon516
Yesterday at 12:08 PM
aliz
4 minutes ago
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high tech FE as J1?!
imagien_bad   48
N 13 minutes ago by Super_AA
Source: USAJMO 2025/1
Let $\mathbb Z$ be the set of integers, and let $f\colon \mathbb Z \to \mathbb Z$ be a function. Prove that there are infinitely many integers $c$ such that the function $g\colon \mathbb Z \to \mathbb Z$ defined by $g(x) = f(x) + cx$ is not bijective.
Note: A function $g\colon \mathbb Z \to \mathbb Z$ is bijective if for every integer $b$, there exists exactly one integer $a$ such that $g(a) = b$.
48 replies
imagien_bad
Yesterday at 12:00 PM
Super_AA
13 minutes ago
J
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Anyone LFT for SMT?
Mathdreams   0
27 minutes ago
Hi everyone,

Is there anyone willing to join an SMT (Stanford Math Tournament) team?

I have a team looking for one more person.

Edit: If you are interested, please PM me, and I'll answer any questions there :)
0 replies
Mathdreams
27 minutes ago
0 replies
J
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USA 97 [1/(b^3+c^3+abc) + ... >= 1/(abc)]
Maverick   45
N 2 hours ago by Marcus_Zhang
Source: USAMO 1997/5; also: ineq E2.37 in Book: Inegalitati; Authors:L.Panaitopol,V. Bandila,M.Lascu
Prove that, for all positive real numbers $ a$, $ b$, $ c$, the inequality
\[ \frac {1}{a^3 + b^3 + abc} + \frac {1}{b^3 + c^3 + abc} + \frac {1}{c^3 + a^3 + abc} \leq \frac {1}{abc} \]
holds.
45 replies
1 viewing
Maverick
Sep 12, 2003
Marcus_Zhang
2 hours ago
J
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The prime inequality learning problem
orl   137
N 2 hours ago by Marcus_Zhang
Source: IMO 1995, Problem 2, Day 1, IMO Shortlist 1995, A1
Let $ a$, $ b$, $ c$ be positive real numbers such that $ abc = 1$. Prove that
\[ \frac {1}{a^{3}\left(b + c\right)} + \frac {1}{b^{3}\left(c + a\right)} + \frac {1}{c^{3}\left(a + b\right)}\geq \frac {3}{2}. \]
137 replies
orl
Nov 9, 2005
Marcus_Zhang
2 hours ago
J
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hard ............ (2)
Noname23   2
N 3 hours ago by mathprodigy2011
problem
2 replies
Noname23
Yesterday at 5:10 PM
mathprodigy2011
3 hours ago
J
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Abelkonkurransen 2025 3a
Lil_flip38   5
N 3 hours ago by ariopro1387
Source: abelkonkurransen
Let \(ABC\) be a triangle. Let \(E,F\) be the feet of the altitudes from \(B,C\) respectively. Let \(P,Q\) be the projections of \(B,C\) onto line \(EF\). Show that \(PE=QF\).
5 replies
Lil_flip38
Yesterday at 11:14 AM
ariopro1387
3 hours ago
J
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Inequality by Po-Ru Loh
v_Enhance   54
N 3 hours ago by Marcus_Zhang
Source: ELMO 2003 Problem 4
Let $x,y,z \ge 1$ be real numbers such that \[ \frac{1}{x^2-1} + \frac{1}{y^2-1} + \frac{1}{z^2-1} = 1. \] Prove that \[ \frac{1}{x+1} + \frac{1}{y+1} + \frac{1}{z+1} \le 1. \]
54 replies
v_Enhance
Dec 29, 2012
Marcus_Zhang
3 hours ago
J
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Problem 5
Functional_equation   14
N 3 hours ago by ali123456
Source: Azerbaijan third round 2020(JBMO Shortlist 2019 N6)
$a,b,c$ are non-negative integers.
Solve: $a!+5^b=7^c$

Proposed by Serbia
14 replies
Functional_equation
Jun 6, 2020
ali123456
3 hours ago
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a^12+3^b=1788^c
falantrng   6
N 4 hours ago by ali123456
Source: Azerbaijan NMO 2024. Junior P3
Find all the natural numbers $a, b, c$ satisfying the following equation:
$$a^{12} + 3^b = 1788^c$$.
6 replies
falantrng
Jul 8, 2024
ali123456
4 hours ago
J
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stuck on a system of recurrence sequence
Nonecludiangeofan   0
4 hours ago
Please guys help me solve this nasty problem that i've been stuck for the past month:
Let \( (a_n) \) and \( (b_n) \) be two sequences defined by:
\[ a_{n+1} = \frac{1 + a_n + a_n b_n}{b_n} \quad \text{and} \quad b_{n+1} = \frac{1 + b_n + a_n b_n}{a_n} \]for all \( n \ge 0 \), with initial values \( a_0 = 1 \) and \( b_0 = 2 \).

Prove that:
\[ a_{2024} < 5. \]
(btw am still not comfortable with system of recurrence sequences)
0 replies
Nonecludiangeofan
4 hours ago
0 replies
J
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A huge group of children compare their heights
Tintarn   5
N 4 hours ago by InCtrl
Source: All-Russian MO 2024 9.8
$1000$ children, no two of the same height, lined up. Let us call a pair of different children $(a,b)$ good if between them there is no child whose height is greater than the height of one of $a$ and $b$, but less than the height of the other. What is the greatest number of good pairs that could be formed? (Here, $(a,b)$ and $(b,a)$ are considered the same pair.)
Proposed by I. Bogdanov
5 replies
Tintarn
Apr 22, 2024
InCtrl
4 hours ago
J
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Iran Inequality
mathmatecS   15
N 5 hours ago by Marcus_Zhang
Source: Iran 1998
When $x(\ge1),$ $y(\ge1),$ $z(\ge1)$ satisfy $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=2,$ prove in equality.
$$\sqrt{x+y+z}\ge\sqrt{x-1}+\sqrt{y-1}+\sqrt{z-1}$$
15 replies
mathmatecS
Jun 11, 2015
Marcus_Zhang
5 hours ago
J
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J
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2025 ROSS Program
scls140511   15
N Mar 17, 2025 by akliu
Since the application has ended, are we now free to discuss the problems and stats? How do you think this year's problems are?
15 replies
scls140511
Mar 16, 2025
akliu
Mar 17, 2025
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2025 ROSS Program
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Reveal topic tags
Ross Mathematics Program
Ross
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scls140511
106 posts
scls140511
#1 h  Mar 16, 2025, 2:36 AM
Y by
Since the application has ended, are we now free to discuss the problems and stats? How do you think this year's problems are?
Z K Y
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NoSignOfTheta
1683 posts
NoSignOfTheta
#2 h  Mar 16, 2025, 2:38 AM
Y by
Thought it was due tonight
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mathnerd_101
1464 posts
mathnerd_101
#3 h  Mar 16, 2025, 2:55 AM
Y by
For problem 5 part (g), I got 1434. Can anyone confirm?
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scls140511
106 posts
scls140511
#4 h  Mar 16, 2025, 3:03 AM
Y by
mathnerd_101 wrote:
For problem 5 part (g), I got 1434. Can anyone confirm?

???

I don't think there are 5 problems lol
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scannose
980 posts
scannose
#5 h  Mar 16, 2025, 3:06 AM
Y by
scls140511 wrote:
mathnerd_101 wrote:
For problem 5 part (g), I got 1434. Can anyone confirm?

???

I don't think there are 5 problems lol

they're trolling lol

i don't know much about the ross program myself, but if what theta said was true, discussion should be held off for a few hours
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mathnerd_101
1464 posts
mathnerd_101
#7 h  Mar 16, 2025, 3:16 AM • 1 Y
Y by aidan0626
scls140511 wrote:
I don't think there are 5 problems lol
There were 50 problems for qualified students. It was essentially a superbuffed version of the Problem Set that was sent out to talented individuals via email. All 50 problems had to be completed within a 348 minute interval, making it extremely challenging.
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akliu
1729 posts
akliu
#10 h  Mar 16, 2025, 4:10 AM
Y by
mathnerd_101 wrote:
scls140511 wrote:
I don't think there are 5 problems lol
There were 50 problems for qualified students. It was essentially a superbuffed version of the Problem Set that was sent out to talented individuals via email. All 50 problems had to be completed within a 348 minute interval, making it extremely challenging.

Can confirm. In all seriousness, my recommender didn't fill out the recommendation letter before the due date, but I was still allowed to submit. Does anyone know the specific date that the recommender must fill the form by?
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Pengu14
423 posts
Pengu14
#11 h  Mar 16, 2025, 10:13 AM
Y by
The application was due 12 am LOCAL time. Please be slightly patient before creating discus threads.
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miguel00
581 posts
miguel00
#12 h  Mar 16, 2025, 3:55 PM
Y by
Was the problem set harder or easier than previous years?
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MathPerson12321
3616 posts
MathPerson12321
#13 h  Mar 16, 2025, 3:58 PM
Y by
discussion is allowed now i think
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OlympusHero
17018 posts
OlympusHero
#14 h  Mar 16, 2025, 7:27 PM
Y by
Since it said local time does that mean it’s fine if I submitted from a location where the time was 12:00 AM (but in my home location, it would’ve been 1:00 AM)?
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fuzimiao2013
3302 posts
fuzimiao2013
#15 h  Mar 16, 2025, 8:52 PM • 3 Y
Y by KevinChen_Yay, Alex-131, sanaops9
by the way its Ross not ROSS

Ross doesn't stand for anything it's named after Arnold Ross the founder
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Alex-131
5302 posts
Alex-131
#16 h  Mar 16, 2025, 11:21 PM
Y by
Submitted on Friday at 11:56 pm and then had CMIMC the next day :D
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Bnn81351
41 posts
Bnn81351
#17 h  Mar 16, 2025, 11:30 PM
Y by
How do you guys find out about these contests?
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Pengu14
423 posts
Pengu14
#18 h  Mar 17, 2025, 12:18 AM
Y by
Bnn81351 wrote:
How do you guys find out about these contests?

CMIMC is pretty well known. The common ones are HMMT, PUMAC, CMIMC, BMT, SMT, etc.
Z K Y
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akliu
1729 posts
akliu
#19 h  Mar 17, 2025, 12:23 AM
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Good news to anyone who didn't get a recommendation letter submitted before the actual application deadline! Your recommender has until the end of March 22 to submit it.
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This post has been edited 1 time. Last edited by akliu, Mar 17, 2025, 12:23 AM
Reason: typo
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