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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

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[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
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0 replies
jlacosta
Apr 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
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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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Discuss the Stanford Math Tournament Here
Aaronjudgeisgoat   66
N 4 minutes ago by maxamc
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
66 replies
+8 w
Aaronjudgeisgoat
2 hours ago
maxamc
4 minutes ago
J
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intro to geo < x < egmo
jb2015007   20
N 16 minutes ago by jb2015007
Hello.
i finished intro to geo textbook and class a few months ago, I was wondering what geo to do next. I took a quick look at egmo, and i figured i should probably do more before starting it. Does anyone have any resources they have that could help with int geo?
Thanks!
20 replies
+1 w
jb2015007
Apr 11, 2025
jb2015007
16 minutes ago
J
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Inspired by lgx57
sqing   1
N 39 minutes ago by Primeniyazidayi
Source: Own
Let $ x,y $ be reals such that $x+y=3$ and $\frac{1}{x^2+y}+\frac{1}{x+y^2}=\frac{1}{2}$. Prove that
$$x^2+y^2=7 $$$$x^3+y^3=18 $$$$x^4+y^4=47$$
1 reply
sqing
an hour ago
Primeniyazidayi
39 minutes ago
J
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pairwise coprime sum gcd
InterLoop   30
N 40 minutes ago by HasnatFarooq
Source: EGMO 2025/1
For a positive integer $N$, let $c_1 < c_2 < \dots < c_m$ be all the positive integers smaller than $N$ that are coprime to $N$. Find all $N \ge 3$ such that
$$\gcd(N, c_i + c_{i+1}) \neq 1$$for all $1 \le i \le m - 1$.
30 replies
+1 w
InterLoop
Yesterday at 12:34 PM
HasnatFarooq
40 minutes ago
J
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Nice Quadrilateral Geo
amuthup   52
N an hour ago by Frd_19_Hsnzde
Source: 2021 ISL G4
Let $ABCD$ be a quadrilateral inscribed in a circle $\Omega.$ Let the tangent to $\Omega$ at $D$ meet rays $BA$ and $BC$ at $E$ and $F,$ respectively. A point $T$ is chosen inside $\triangle ABC$ so that $\overline{TE}\parallel\overline{CD}$ and $\overline{TF}\parallel\overline{AD}.$ Let $K\ne D$ be a point on segment $DF$ satisfying $TD=TK.$ Prove that lines $AC,DT,$ and $BK$ are concurrent.
52 replies
amuthup
Jul 12, 2022
Frd_19_Hsnzde
an hour ago
J
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Root comparing by Viete
giangtruong13   0
an hour ago
Given equation $ax^2+bx+c=0$ has 2 roots $m,n$ and equation $cx^2+dx+a=0$ has 2 roots called $p,q$. Prove that $$m^2+n^2+p^2+q^2 \geq 4$$
0 replies
giangtruong13
an hour ago
0 replies
J
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Parallelograms and concyclicity
Lukaluce   13
N an hour ago by Frd_19_Hsnzde
Source: EGMO 2025 P4
Let $ABC$ be an acute triangle with incentre $I$ and $AB \neq AC$. Let lines $BI$ and $CI$ intersect the circumcircle of $ABC$ at $P \neq B$ and $Q \neq C$, respectively. Consider points $R$ and $S$ such that $AQRB$ and $ACSP$ are parallelograms (with $AQ \parallel RB, AB \parallel QR, AC \parallel SP$, and $AP \parallel CS$). Let $T$ be the point of intersection of lines $RB$ and $SC$. Prove that points $R, S, T$, and $I$ are concyclic.
13 replies
Lukaluce
5 hours ago
Frd_19_Hsnzde
an hour ago
J
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function Z to Z..
Jackson0423   0
an hour ago
Let \( f : \mathbb{Z} \to \mathbb{Z} \) be a function satisfying
\[ f(f(x)) = x^2 - 6x + 6 \quad \text{for all} \quad x \in \mathbb{Z}. \]Given that
\[ f(i) < f(i+1) \quad \text{for} \quad i = 0, 1, 2, 3, 4, 5, \]find the value of
\[ f(0) + f(1) + f(2) + \cdots + f(6). \]
0 replies
Jackson0423
an hour ago
0 replies
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2025 Math and AI 4 Girls Competition: Win Up To $1,000!!!
audio-on   43
N an hour ago by angie.
Join the 2025 Math and AI 4 Girls Competition for a chance to win up to $1,000!

Hey Everyone, I'm pleased to announce the dates for the 2025 MA4G Competition are set!
Applications will open on March 22nd, 2025, and they will close on April 26th, 2025 (@ 11:59pm PST).

Applicants will have one month to fill out an application with prizes for the top 50 contestants & cash prizes for the top 20 contestants (including $1,000 for the winner!). More details below!

Eligibility:
The competition is free to enter, and open to middle school female students living in the US (5th-8th grade).
Award recipients are selected based on their aptitude, activities and aspirations in STEM.

Event dates:
Applications will open on March 22nd, 2025, and they will close on April 26th, 2025 (by 11:59pm PST)
Winners will be announced on June 28, 2025 during an online award ceremony.

Application requirements:
Complete a 12 question problem set on math and computer science/AI related topics
Write 2 short essays

Prizes:
1st place: $1,000 Cash prize
2nd place: $500 Cash prize
3rd place: $300 Cash prize
4th-10th: $100 Cash prize each
11th-20th: $50 Cash prize each
Top 50 contestants: Over $50 worth of gadgets and stationary

Many thanks to our current and past sponsors and partners: Hudson River Trading, MATHCOUNTS, Hewlett Packard Enterprise, Automation Anywhere, JP Morgan Chase, D.E. Shaw, and AI4ALL.

Math and AI 4 Girls is a nonprofit organization aiming to encourage young girls to develop an interest in math and AI by taking part in STEM competitions and activities at an early age. The organization will be hosting an inaugural Math and AI 4 Girls competition to identify talent and encourage long-term planning of academic and career goals in STEM.

Contact:
mathandAI4girls@yahoo.com

For more information on the competition:
https://www.mathandai4girls.org/math-and-ai-4-girls-competition

More information on how to register will be posted on the website. If you have any questions, please ask here!


43 replies
1 viewing
audio-on
Jan 26, 2025
angie.
an hour ago
J
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For positive integers \( a, b, c \), find all possible positive integer values o
Jackson0423   8
N an hour ago by Jackson0423
For positive integers \( a, b, c \), find all possible positive integer values of
\[ \frac{a}{b} + \frac{b}{c} + \frac{c}{a}. \]
8 replies
Jackson0423
Yesterday at 8:35 AM
Jackson0423
an hour ago
J
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Inspired by lgx57
sqing   0
an hour ago
Source: Own
Let $ x,y $ be reals such that $x^2+y^2=7$ and $\frac{1}{x^2+y}+\frac{1}{x+y^2}=\frac{1}{2}$. Prove that$$1\leq x+y\leq 3$$Let $ x,y $ be reals such that $x^3+y^3=18$ and $\frac{1}{x^2+y}+\frac{1}{x+y^2}=\frac{1}{2}$. Prove that$$2< x+y\leq 3$$
0 replies
sqing
an hour ago
0 replies
J
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An upper bound for Iran TST 1996
Nguyenhuyen_AG   1
N an hour ago by Victoria_Discalceata1
Let $a, \ b, \ c$ be the side lengths of a triangle. Prove that
\[\frac{ab+bc+ca}{(a+b)^2} + \frac{ab+bc+ca}{(b+c)^2} + \frac{ab+bc+ca}{(c+a)^2} \leqslant \frac{85}{36}.\]
1 reply
Nguyenhuyen_AG
Yesterday at 8:55 AM
Victoria_Discalceata1
an hour ago
J
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Problem 6 Midpoint of segment
tchebytchev   10
N an hour ago by Tony_stark0094
Source: PAMO 2017 Problem 6
Let $ABC$ be a triangle with $H$ its orthocenter. The circle with diameter $[AC]$ cuts the circumcircle of triangle $ABH$ at $K$. Prove that the point of intersection of the lines $CK$ and $BH$ is the midpoint of the segment $[BH]$
10 replies
tchebytchev
Jul 5, 2017
Tony_stark0094
an hour ago
J
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9 Are you in UMTYMP
thinkcraze   4
N 2 hours ago by Aaronjudgeisgoat
Pls upvote if you are in UMTYMP

I got selected for the program this year and I am a 6th grader

what is UMTYMP?
4 replies
thinkcraze
Today at 1:14 AM
Aaronjudgeisgoat
2 hours ago
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USAMO Scores Release Date
CrunchyCucumber   14
N Apr 2, 2025 by CatCatHead
Does anyone know when individual scores, and medal+MOP cutoffs on the USAMO will be officially released? The website says 2-3 weeks, but I’ve heard it takes much longer in previous year.
14 replies
CrunchyCucumber
Apr 1, 2025
CatCatHead
Apr 2, 2025
J
USAMO Scores Release Date
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Reveal topic tags
AMC
USAMO
MOP
skibidi mop mop mop admits
hashbrown2009isorz
L
G H BBookmark kLocked kLocked NReply
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CrunchyCucumber
63 posts
CrunchyCucumber
#1 h  Apr 1, 2025, 6:22 PM
Y by
Does anyone know when individual scores, and medal+MOP cutoffs on the USAMO will be officially released? The website says 2-3 weeks, but I’ve heard it takes much longer in previous year.
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damathgoat
118 posts
damathgoat
#2 h  Apr 1, 2025, 9:49 PM
Y by
Nope sorry bro :(
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RaymondZhu
4002 posts
RaymondZhu
#3 h  Apr 1, 2025, 9:58 PM
Y by
some time between now and mop
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mathfan2010
3 posts
mathfan2010
#4 h  Apr 1, 2025, 10:15 PM
Y by
One dude said today that he got mopped. He received many congrats in the group and it did not sound April fools joke.
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bjump
999 posts
bjump
#5 h  Apr 1, 2025, 10:32 PM
Y by
mathfan2010 wrote:
One dude said today that he got mopped. He received many congrats in the group and it did not sound April fools joke.

It was an admittedly bad April fools joke :oops:
Z K Y
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mathfan2010
3 posts
mathfan2010
#6 h  Apr 1, 2025, 10:47 PM
Y by
The guy is a top mathlete in the group and there was no sign of joking . Just wonder if anyone else also received USAMO/USAJMO results or news related MOP.

If the thread includes MOP in the topic, that may help attract more responses.
This post has been edited 4 times. Last edited by mathfan2010, Apr 2, 2025, 12:51 PM
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lu1376091
13 posts
lu1376091
#7 h  Apr 1, 2025, 11:28 PM
Y by
i was told that jmo cutoffs came out today
april foolsed by dotted calculator :blush:
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hashbrown2009
164 posts
hashbrown2009
#8 h  Apr 2, 2025, 12:00 AM
Y by
mathfan2010 wrote:
The guy is a top mathlete in the state and there was no sign of joking (he kept accepting congrats throughout the day without admitting it's a joke). Just wonder if anyone else also received USAMO/USAJMO results or news related MOP.

If the thread includes MOP in the topic, that may help attract more responses.

No MOP cutoffs came out today. It was likely a troll or a April Fool's Joke with everyone saying congrats to continue the joke. Again, No MOP cutoff results came today.

Also: r u an alt account because your AoPS acc only was created today and has only 2 posts
This post has been edited 2 times. Last edited by hashbrown2009, Apr 2, 2025, 12:48 AM
Reason: miswrite
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DottedCaculator
7333 posts
DottedCaculator
#9 h  Apr 2, 2025, 12:40 AM
Y by
lu1376091 wrote:
i was told that jmo cutoffs came out today
april foolsed by dotted calculator :blush:

jmo cutoffs came out a few weeks ago though
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mathfan2010
3 posts
mathfan2010
#10 h  Apr 2, 2025, 12:40 AM
Y by
Yes my account is new because I did not post in the past. Bro, USAJMO or USAMO cutoffs came out on March 4. Everybody knows that.
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hashbrown2009
164 posts
hashbrown2009
#11 h  Apr 2, 2025, 12:46 AM
Y by
mathfan2010 wrote:
Yes my account is new because I did not post in the past. Bro, USAJMO or USAMO cutoffs came out on March 4. Everybody knows that.

"I did not post in the past"
Your account was made April 1st, 2025. Is that not today?

edit: ik I miswrote USAJMO/USAMO cutoffs did not come out but I meant MOP. Sorry for the confusion.
This post has been edited 1 time. Last edited by hashbrown2009, Apr 2, 2025, 12:48 AM
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fake123
87 posts
fake123
#12 h  Apr 2, 2025, 12:50 AM
Y by
hashbrown2009 wrote:
mathfan2010 wrote:
Yes my account is new because I did not post in the past. Bro, USAJMO or USAMO cutoffs came out on March 4. Everybody knows that.

"I did not post in the past"
Your account was made April 1st, 2025. Is that not today?

edit: ik I miswrote USAJMO/USAMO cutoffs did not come out but I meant MOP. Sorry for the confusion.

no "april 1st, 2025" is not "today" idk what ur on about
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rhydon516
549 posts
rhydon516
#13 h  Apr 2, 2025, 12:52 AM • 1 Y
Y by elasticwealth
gaslighting = entertainment :popcorn:
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xHypotenuse
767 posts
xHypotenuse
#14 h  Apr 2, 2025, 3:21 AM
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sometime between today and mop
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CatCatHead
30 posts
CatCatHead
#15 h  Apr 2, 2025, 9:54 AM
Y by
last year the medal list come on 4/25, and the mop email come some days earlier
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