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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.

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[*]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
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IMO 2010 Problem 1
canada   121
N 35 minutes ago by maromex
Find all function $f:\mathbb{R}\rightarrow\mathbb{R}$ such that for all $x,y\in\mathbb{R}$ the following equality holds \[ f(\left\lfloor x\right\rfloor y)=f(x)\left\lfloor f(y)\right\rfloor \] where $\left\lfloor a\right\rfloor $ is greatest integer not greater than $a.$

Proposed by Pierre Bornsztein, France
121 replies
canada
Jul 7, 2010
maromex
35 minutes ago
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Nice original fe
Rayanelba   7
N 43 minutes ago by Rayanelba
Source: Original
Find all functions $f: \mathbb{R}_{>0} \to \mathbb{R}_{>0}$ that verify the following equation :
$P(x,y):f(x+yf(x))+f(f(x))=f(xy)+2x$
7 replies
Rayanelba
4 hours ago
Rayanelba
43 minutes ago
J
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Israeli Mathematical Olympiad 1995
YanYau   26
N 44 minutes ago by zuat.e
Source: Israeli Mathematical Olympiad 1995
Let $PQ$ be the diameter of semicircle $H$. Circle $O$ is internally tangent to $H$ and tangent to $PQ$ at $C$. Let $A$ be a point on $H$ and $B$ a point on $PQ$ such that $AB\perp PQ$ and is tangent to $O$. Prove that $AC$ bisects $\angle PAB$
26 replies
YanYau
Apr 8, 2016
zuat.e
44 minutes ago
J
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4-vars inequality
xytunghoanh   1
N an hour ago by xytunghoanh
For $a,b,c,d \ge 0$ and $a\ge c$, $b \ge d$. Prove that
$$a+b+c+d+ac+bd+8 \ge 2(\sqrt{ab}+\sqrt{bc}+\sqrt{cd}+\sqrt{da}+\sqrt{ac}+\sqrt{bd})$$.
1 reply
xytunghoanh
3 hours ago
xytunghoanh
an hour ago
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ARO 2011 11-8
sartt   19
N an hour ago by Double07
Let $N$ be the midpoint of arc $ABC$ of the circumcircle of triangle $ABC$, let $M$ be the midpoint of $AC$ and let $I_1, I_2$ be the incentres of triangles $ABM$ and $CBM$. Prove that points $I_1, I_2, B, N$ lie on a circle.

M. Kungojin
19 replies
sartt
May 3, 2011
Double07
an hour ago
J
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APMO 2017: (ADZ) passes through M
BartSimpsons   78
N an hour ago by Ihatecombin
Source: APMO 2017, problem 2
Let $ABC$ be a triangle with $AB < AC$. Let $D$ be the intersection point of the internal bisector of angle $BAC$ and the circumcircle of $ABC$. Let $Z$ be the intersection point of the perpendicular bisector of $AC$ with the external bisector of angle $\angle{BAC}$. Prove that the midpoint of the segment $AB$ lies on the circumcircle of triangle $ADZ$.

Olimpiada de Matemáticas, Nicaragua
78 replies
BartSimpsons
May 14, 2017
Ihatecombin
an hour ago
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Inspired by Baltic Way 2005
sqing   5
N an hour ago by sqing
Source: Own
Let $ a,b,c>0 , a+b+(a+b)^2=6$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq \frac{3}{2} $$Let $ a,b,c>0 , a+b+(a-b)^2=2$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq 1 $$Let $ a,b,c>0 , a+b+a^2+b^2=4$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq \frac{1+\sqrt{17}}{4} $$Let $ a,b,c>0 , a+b+a^2+b^2+ab=5$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq \frac{1+\sqrt{21}}{4} $$
5 replies
sqing
4 hours ago
sqing
an hour ago
J
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JBMO TST Bosnia and Herzegovina 2022 P3
Motion   8
N an hour ago by AylyGayypow009
Source: JBMO TST Bosnia and Herzegovina 2022
Let $ABC$ be an acute triangle. Tangents on the circumscribed circle of triangle $ABC$ at points $B$ and $C$ intersect at point $T$. Let $D$ and $E$ be a foot of the altitudes from $T$ onto $AB$ and $AC$ and let $M$ be the midpoint of $BC$. Prove:
A) Prove that $M$ is the orthocenter of the triangle $ADE$.
B) Prove that $TM$ cuts $DE$ in half.
8 replies
Motion
May 21, 2022
AylyGayypow009
an hour ago
J
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A sharp one with 3 var
mihaig   2
N 2 hours ago by mihaig
Source: Own
Let $a,b,c\geq0$ satisfying
$$\left(a+b+c-2\right)^2+8\leq3\left(ab+bc+ca\right).$$Prove
$$ab+bc+ca+abc\geq4.$$
2 replies
mihaig
Tuesday at 7:20 PM
mihaig
2 hours ago
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IMO Shortlist 2014 N1
hajimbrak   46
N 2 hours ago by cursed_tangent1434
Let $n \ge 2$ be an integer, and let $A_n$ be the set \[A_n = \{2^n - 2^k\mid k \in \mathbb{Z},\, 0 \le k < n\}.\] Determine the largest positive integer that cannot be written as the sum of one or more (not necessarily distinct) elements of $A_n$ .

Proposed by Serbia
46 replies
1 viewing
hajimbrak
Jul 11, 2015
cursed_tangent1434
2 hours ago
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Camp Conway/Camp Sierpinski Acceptance
fossasor   7
N 2 hours ago by fossasor
(trying this again in a different thread now that it's later)

I've been accepted into Camp Conway, which is a part of National Math Camps, a organization of Math Camps that currently includes two: Camp Conway and Camp Sierpinski. Camp Conway is located at Harvey Mudd in California and happens during the first half of summer, while Camp Sierpinski is in North Carolina's research triangle and happens during the second half. Each of them has two two-week long sessions that accept 30 people (it's very focused on social connection), which means 120 people will be accepted to the program in total.

Given how much of the math community is on aops, I think there's a decent chance one of the 120 people might see this thread. So - has anyone here been accepted into Camp Conway or Camp Sierpinski? If so, which session are you going during, and what are you looking forward to?

I'll be attending during the second session of Conway in the first few weeks of July - I'm looking forward to the Topics Classes as a lot of them sound pretty fun.
7 replies
fossasor
Apr 19, 2025
fossasor
2 hours ago
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Goals for 2025-2026
Airbus320-214   138
N 2 hours ago by fossasor
Please write down your goal/goals for competitions here for 2025-2026.
138 replies
Airbus320-214
May 11, 2025
fossasor
2 hours ago
J
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HCSSiM results
SurvivingInEnglish   74
N 3 hours ago by smiley
Anyone already got results for HCSSiM? Are there any point in sending additional work if I applied on March 19?
74 replies
SurvivingInEnglish
Apr 5, 2024
smiley
3 hours ago
J
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Stanford Math Tournament (SMT) 2025
stanford-math-tournament   4
N Today at 5:37 AM by techb
[center] :trampoline: :first: Stanford Math Tournament :first: :trampoline: [/center]

----------------------------------------------------------

[center]IMAGE[/center]

We are excited to announce that registration is now open for Stanford Math Tournament (SMT) 2025!

This year, we will welcome 800 competitors from across the nation to participate in person on Stanford’s campus. The tournament will be held April 11-12, 2025, and registration is open to all high-school students from the United States. This year, we are extending registration to high school teams (strongly preferred), established local mathematical organizations, and individuals; please refer to our website for specific policies. Whether you’re an experienced math wizard, a puzzle hunt enthusiast, or someone looking to meet new friends, SMT has something to offer everyone!

Register here today! We’ll be accepting applications until March 2, 2025.

For those unable to travel, in middle school, or not from the United States, we encourage you to instead register for SMT 2025 Online, which will be held on April 13, 2025. Registration for SMT 2025 Online will open mid-February.

For more information visit our website! Please email us at stanford.math.tournament@gmail.com with any questions or reply to this thread below. We can’t wait to meet you all in April!

4 replies
stanford-math-tournament
Feb 1, 2025
techb
Today at 5:37 AM
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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
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Discuss the Stanford Math Tournament Here
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Reveal topic tags
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G H BBookmark kLocked kLocked NReply
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Charizard_637
117 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
1092 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
308 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
1092 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
1422 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
5608 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
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megarnie
5608 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
1422 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
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lpieleanu
3001 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.
593 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
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Munmun5
79 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 .
Z K Y
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techb
308 posts
techb
#309 h  Apr 23, 2025, 7:32 AM
Y by
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.
Z K Y
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Munmun5
79 posts
Munmun5
#310 h  Apr 23, 2025, 5:11 PM
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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
384 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
1045 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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