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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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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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f(n+1) = f(n) + 2^f(n) implies f(n) distinct mod 3^2013
v_Enhance   51
N 44 minutes ago by cursed_tangent1434
Source: USA TSTST 2013, Problem 8
Define a function $f: \mathbb N \to \mathbb N$ by $f(1) = 1$, $f(n+1) = f(n) + 2^{f(n)}$ for every positive integer $n$. Prove that $f(1), f(2), \dots, f(3^{2013})$ leave distinct remainders when divided by $3^{2013}$.
51 replies
v_Enhance
Aug 13, 2013
cursed_tangent1434
44 minutes ago
J
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Inequality
hlminh   0
an hour ago
Let $a,b,c>0$ such that $a^2+b^2+c^2=3.$ Prove that $\sum \frac a{\sqrt{b^2+b+c}}\leq \sqrt 3.$
0 replies
hlminh
an hour ago
0 replies
J
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Prove the inequality with the condition (a+1)(b+1)(c+1)=8
hlminh   0
an hour ago
Let $a,b,c>0$ such that $(a+1)(b+1)(c+1)=8.$ Prove that $abc(a+b+c)\leq 3.$
0 replies
hlminh
an hour ago
0 replies
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Is this FE solvable?
ItzsleepyXD   1
N an hour ago by pco
Source: Original
Let $c_1,c_2 \in \mathbb{R^+}$. Find all $f : \mathbb{R^+} \rightarrow \mathbb{R^+}$ such that for all $x,y \in \mathbb{R^+}$ $$f(x+c_1f(y))=f(x)+c_2f(y)$$
1 reply
ItzsleepyXD
Today at 3:02 AM
pco
an hour ago
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MOP Emails
hellohannah   4
N an hour ago by mathkidAP
So mop emails are probably coming tomorrow, feel free to discuss here. I'll probably post when I hear that they're out unless I'm asleep
4 replies
hellohannah
6 hours ago
mathkidAP
an hour ago
J
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Another factorisation problem
kjhgyuio   3
N an hour ago by Solar Plexsus
........
3 replies
kjhgyuio
Apr 17, 2025
Solar Plexsus
an hour ago
J
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Maximum with the condition $x^2+y^2+z^2=1$
hlminh   0
an hour ago
Let $x,y,z$ be real numbers such that $x^2+y^2+z^2=1,$ find the largest value of $$E=|x-2y|+|y-2z|+|z-2x|.$$
0 replies
hlminh
an hour ago
0 replies
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Two lines meet on semicircle
va2010   86
N an hour ago by InterLoop
Source: 2015 ISL G3
Let $ABC$ be a triangle with $\angle{C} = 90^{\circ}$, and let $H$ be the foot of the altitude from $C$. A point $D$ is chosen inside the triangle $CBH$ so that $CH$ bisects $AD$. Let $P$ be the intersection point of the lines $BD$ and $CH$. Let $\omega$ be the semicircle with diameter $BD$ that meets the segment $CB$ at an interior point. A line through $P$ is tangent to $\omega$ at $Q$. Prove that the lines $CQ$ and $AD$ meet on $\omega$.
86 replies
va2010
Jul 7, 2016
InterLoop
an hour ago
J
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Inspired by old results
sqing   3
N 2 hours ago by sqing
Source: Own
Let \( a, b, c \) be real numbers.Prove that
$$ \frac{(a - b + c)^2}{ (a^2+ a+1)(b^2+b+1)(c^2+ c+1)} \leq 4$$$$ \frac{(a + b + c)^2}{ (a^2+ a+1)(b^2 +b+1)(c^2+ c+1)} \leq \frac{2(69 + 11\sqrt{33})}{27}$$
3 replies
sqing
6 hours ago
sqing
2 hours ago
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x^n + 1 = y^{n+1}
orl   8
N 2 hours ago by AshAuktober
Source: IMO 1980 Finland, problem 3
Prove that the equation \[ x^n + 1 = y^{n+1}, \] where $n$ is a positive integer not smaller then 2, has no positive integer solutions in $x$ and $y$ for which $x$ and $n+1$ are relatively prime.
8 replies
orl
May 6, 2004
AshAuktober
2 hours ago
J
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A cyclic inequality
KhuongTrang   13
N 2 hours ago by KhuongTrang
Source: own-CRUX
IMAGE
Link
13 replies
KhuongTrang
Apr 2, 2025
KhuongTrang
2 hours ago
J
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2021 AMC 12A #25
franzliszt   27
N 4 hours ago by Magnetoninja
Source: 2021 AMC 12A #25
Let $d(n)$ denote the number of positive integers that divide $n$, including $1$ and $n$. For example, $d(1)=1,d(2)=2,$ and $d(12)=6$. (This function is known as the divisor function.) Let \[f(n)=\frac{d(n)}{\sqrt[3]{n}}.\]There is a unique positive integer $N$ such that $f(N)>f(n)$ for all positive integers $n\ne N$. What is the sum of the digits of $N?$

$\textbf{(A) }5 \qquad \textbf{(B) }6 \qquad \textbf{(C) }7 \qquad \textbf{(D) }8\qquad \textbf{(E) }9$
27 replies
franzliszt
Feb 5, 2021
Magnetoninja
4 hours ago
J
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Discuss the Stanford Math Tournament Here
Aaronjudgeisgoat   283
N 5 hours ago by techb
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
283 replies
Aaronjudgeisgoat
Apr 14, 2025
techb
5 hours ago
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2025 ELMOCOUNTS - Mock MATHCOUNTS Nationals
vincentwant   39
N 6 hours ago by MathRook7817
text totally not copied over from wmc (thanks jason <3)
Quick Links:
[list=disc]
[*] National: (Sprint) (Target) (Team) (Sprint + Target Submission) (Team Submission) [/*]
[*] Miscellaneous: (Leaderboard) (Private Discussion Forum) [/*]
[/list]
(Above links will release soon.)
-----
Eddison Chen (KS '22 '24), Aarush Goradia (CO '24), Ethan Imanuel (NJ '24), Benjamin Jiang (FL '23 '24), Rayoon Kim (PA '23 '24), Jason Lee (NC '23 '24), Puranjay Madupu (AZ '23 '24), Andy Mo (OH '23 '24), George Paret (FL '24), Arjun Raman (IN '24), Vincent Wang (TX '24), Channing Yang (TX '23 '24), and Jefferson Zhou (MN '23 '24) present:



[center]IMAGE[/center]

[center]Image credits to Simon Joeng.[/center]

2024 MATHCOUNTS Nationals alumni from all across the nation have come together to administer the first-ever ELMOCOUNTS Competition, a mock written by the 2024 Nationals alumni given to the 2025 Nationals participants. By providing the next generation of mathletes with free, high quality practice, we're here to boast how strong of an alumni community MATHCOUNTS has, as well as foster interest in the beautiful art that is problem writing!

The tests and their corresponding submissions forms will be released here on Monday, April 21, 2025. The deadline is May 10, 2025. Tests can be administered asynchronously at your home or school, and your answers should be submitted to the corresponding submission form. If you include your AoPS username in your submission, you will be granted access to the private discussion forum on AoPS, where you can discuss the tests even before the deadline.
[list=disc]
[*] "How do I know these tests are worth my time?" [/*]
[*] "Who can participate?" [/*]
[*] "How do I sign up?" [/*]
[*] "What if I have multiple students?" [/*]
[*] "What if a problem is ambiguous, incorrect, etc.?" [/*]
[*] "Will there be solutions?" [/*]
[*] "Will there be a Countdown Round administered?" [/*]
[/list]
If you have any other questions, feel free to email us at elmocounts2025@gmail.com!
39 replies
vincentwant
Yesterday at 6:29 PM
MathRook7817
6 hours ago
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AMC 10 scratch paper question
greenplanet2050   24
N Nov 10, 2024 by EaZ_Shadow
Quick question, can you ask for extra scratch paper on the AMC 10?
24 replies
greenplanet2050
Nov 8, 2024
EaZ_Shadow
Nov 10, 2024
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AMC 10 scratch paper question
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Reveal topic tags
AMC 10
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greenplanet2050
1312 posts
greenplanet2050
#1 h  Nov 8, 2024, 11:08 PM
Y by
Quick question, can you ask for extra scratch paper on the AMC 10?
Z K Y
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Andyluo
929 posts
Andyluo
#2 h  Nov 8, 2024, 11:09 PM
Y by
*sorry did not read post correctly do NOT DO THIS PLEASE YOU WILL BE DISQUALIFIED
This post has been edited 1 time. Last edited by Andyluo, Nov 9, 2024, 1:02 AM
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peelybonehead
6290 posts
peelybonehead
#3 h  Nov 9, 2024, 12:29 AM • 1 Y
Y by studymoremath
greenplanet2050 wrote:
Quick question, can you ask for extra scratch paper on the AMC 10?

no
Z K Y
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orangebear
669 posts
orangebear
#4 h  Nov 9, 2024, 1:00 AM
Y by
greenplanet2050 wrote:
Quick question, can you ask for extra scratch paper on the AMC 10?

If you do you'll be kicked out of the test for attempting to cheat.
This post has been edited 1 time. Last edited by orangebear, Nov 9, 2024, 1:01 AM
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ericwzzhang
438 posts
ericwzzhang
#5 h  Nov 9, 2024, 1:04 AM
Y by
yall dont gotta gaslight him bruh

it usually depends on where you take the test and if they have extra paper but if they have paper ur not gonna get disualified for asking lol
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goldenuni678
237 posts
goldenuni678
#6 h  Nov 9, 2024, 1:09 AM
Y by
wow.
just bring lots to the test

my testing center has a bunch of scratch paper
the proctors just walk around and hand it to people who they see are low on paper
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Yrock
1272 posts
Yrock
#7 h  Nov 9, 2024, 1:09 AM
Y by
ericwzzhang wrote:
yall dont gotta gaslight him bruh

it usually depends on where you take the test and if they have extra paper but if they have paper ur not gonna get disualified for asking lol

yeah I agree they were like, "who needs scratch paper? we have some" at the start
This post has been edited 1 time. Last edited by Yrock, Nov 9, 2024, 1:09 AM
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Existing_Human1
208 posts
Existing_Human1
#8 h  Nov 9, 2024, 4:37 PM
Y by
Can you use ruled paper on the amc (not graph paper)?
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giratina3
494 posts
giratina3
#9 h  Nov 9, 2024, 4:48 PM
Y by
Actually, you’re not allowed to use graph paper on the amc, but you are allowed to use ruled paper.
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aryanpadarthi
4995 posts
aryanpadarthi
#10 h  Nov 9, 2024, 5:00 PM
Y by
greenplanet2050 wrote:
Quick question, can you ask for extra scratch paper on the AMC 10?

you can, there's nothing against it
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Pengu14
515 posts
Pengu14
#11 h  Nov 9, 2024, 5:48 PM
Y by
giratina3 wrote:
Actually, you’re not allowed to use graph paper on the amc, but you are allowed to use ruled paper.

Yes you are
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Wesoar
333 posts
Wesoar
#12 h  Nov 9, 2024, 6:26 PM
Y by
greenplanet2050 wrote:
Quick question, can you ask for extra scratch paper on the AMC 10?

yes you can but bring your own to avoid the risk of them not having more
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dbnl
3375 posts
dbnl
#13 h  Nov 9, 2024, 6:48 PM
Y by
goldenuni678 wrote:
wow.
just bring lots to the test

my testing center has a bunch of scratch paper
the proctors just walk around and hand it to people who they see are low on paper
my cm doesn't allow it bc people can put the answers or like formulas in their paper and hide it, he just brings a big box of paper to the test and hands out ~10 to each student
This post has been edited 2 times. Last edited by dbnl, Nov 9, 2024, 6:49 PM
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greenplanet2050
1312 posts
greenplanet2050
#14 h  Nov 9, 2024, 8:45 PM
Y by
Post #4 by orangebear

@orangebear
How is asking for more paper cheating?
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orangebear
669 posts
orangebear
#15 h  Nov 9, 2024, 8:47 PM
Y by
I'm joking though I should have made it known that I was joking.
This post has been edited 1 time. Last edited by orangebear, Nov 9, 2024, 8:48 PM
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cappucher
92 posts
cappucher
#17 h  Nov 9, 2024, 8:49 PM
Y by
Are you allowed to write down anything on the scratch paper RIGHT before the test? I was thinking of drawing dividers to organize my work (allocate top half for P1-5, allocate bottom half for P6-10, etc), but I'm not sure if that's allowed
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dbnl
3375 posts
dbnl
#18 h  Nov 9, 2024, 9:02 PM
Y by
cappucher wrote:
Are you allowed to write down anything on the scratch paper RIGHT before the test? I was thinking of drawing dividers to organize my work (allocate top half for P1-5, allocate bottom half for P6-10, etc), but I'm not sure if that's allowed

I do that after I do 1-10 because those problems are usually easy and don't require much thought and I use ~1 piece of scratch paper on the first 10, both sides
This post has been edited 1 time. Last edited by dbnl, Nov 9, 2024, 9:02 PM
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orangebear
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orangebear
#19 h  Nov 9, 2024, 9:04 PM
Y by
cappucher wrote:
Are you allowed to write down anything on the scratch paper RIGHT before the test? I was thinking of drawing dividers to organize my work (allocate top half for P1-5, allocate bottom half for P6-10, etc), but I'm not sure if that's allowed

Yeah what I do is draw graph lines just in case if there is coordinate geometry.
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NSAoPS
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NSAoPS
#20 h  Nov 10, 2024, 5:27 AM • 1 Y
Y by elasticwealth
I just bring like 20 ish sheet of paper so that every time I fill a tiny part of the sheet as not to distract myself I just get a new one very eco friendly
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daniil
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daniil
#21 h  Nov 10, 2024, 5:33 AM
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You guys use more than a single page of scratch paper?
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Challengees24
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Challengees24
#22 h  Nov 10, 2024, 5:47 AM • 1 Y
Y by studymoremath
this guy got a 145.5 with a single piece of scratch paper :skull:
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ElaineGu
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ElaineGu
#23 h  Nov 10, 2024, 6:02 AM
Y by
Meanwhile me with no scratch paper writing all over the test paper :skull:
Run out of space? No problem. Just write over the problems, too!
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stary79
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stary79
#24 h  Nov 10, 2024, 6:01 PM
Y by
ElaineGu wrote:
Meanwhile me with no scratch paper writing all over the test paper :skull:
Run out of space? No problem. Just write over the problems, too!

facts
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EaZ_Shadow
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EaZ_Shadow
#25 h  Nov 10, 2024, 6:51 PM
Y by
Andyluo wrote:
*sorry did not read post correctly do NOT DO THIS PLEASE YOU WILL BE DISQUALIFIED

Why….?
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EaZ_Shadow
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EaZ_Shadow
#26 h  Nov 10, 2024, 6:52 PM
Y by
stary79 wrote:
ElaineGu wrote:
Meanwhile me with no scratch paper writing all over the test paper :skull:
Run out of space? No problem. Just write over the problems, too!

facts

Lolllll that’s what I do too #relatable
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