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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
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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Mathcounts Nationals Roommate Search
iwillregretthisnamelater   45
N 7 minutes ago by K1mchi_
Does anybody want to be my roommate at nats? Every other qualifier in my state is female. :sob:
Respond quick pls i gotta submit it in like a couple of hours.
45 replies
iwillregretthisnamelater
Mar 31, 2025
K1mchi_
7 minutes ago
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0!??????
wizwilzo   56
N 8 minutes ago by K1mchi_
why is 0! "1" ??!
56 replies
wizwilzo
Jul 6, 2016
K1mchi_
8 minutes ago
J
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random problem i just thought about one day
ceilingfan404   8
N 9 minutes ago by K1mchi_
i don't even know if this is solvable
Prove that there are finite/infinite powers of 2 where all the digits are also powers of 2. (For example, $4$ and $128$ are numbers that work, but $64$ and $1024$ don't work.)
8 replies
ceilingfan404
Apr 20, 2025
K1mchi_
9 minutes ago
J
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Geometry
BQK   4
N 41 minutes ago by anticodon
Help me, Why geometry is so difficult to learn
4 replies
BQK
3 hours ago
anticodon
41 minutes ago
J
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Geometry Handout is finally done!
SimplisticFormulas   1
N an hour ago by AshAuktober
If there’s any typo or problem you think will be a nice addition, do send here!
handout, geometry
1 reply
SimplisticFormulas
an hour ago
AshAuktober
an hour ago
J
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Finding all integers with a divisibility condition
Tintarn   13
N an hour ago by EVKV
Source: Germany 2020, Problem 4
Determine all positive integers $n$ for which there exists a positive integer $d$ with the property that $n$ is divisible by $d$ and $n^2+d^2$ is divisible by $d^2n+1$.
13 replies
Tintarn
Jun 22, 2020
EVKV
an hour ago
J
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lots of perpendicular
m4thbl3nd3r   0
an hour ago
Let $\omega$ be the circumcircle of a non-isosceles triangle $ABC$ and $SA$ be a tangent line to $\omega$ ($S\in BC$). Let $AD\perp BC,I$ be midpoint of $BC$ and $IQ\perp AB,AH\perp SO,AH\cap QD=K$. Prove that $SO\parallel CK$
0 replies
+1 w
m4thbl3nd3r
an hour ago
0 replies
J
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p is divisible by 2003
shobber   8
N an hour ago by Rayanelba
Source: Pan African 2000
Let $p$ and $q$ be coprime positive integers such that:
\[ \dfrac{p}{q}=1-\frac12+\frac13-\frac14 \cdots -\dfrac{1}{1334}+\dfrac{1}{1335} \]
Prove $p$ is divisible by 2003.
8 replies
shobber
Oct 3, 2005
Rayanelba
an hour ago
J
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Funny Diophantine
Taco12   21
N an hour ago by emmarose55
Source: 2023 RMM, Problem 1
Determine all prime numbers $p$ and all positive integers $x$ and $y$ satisfying $$x^3+y^3=p(xy+p).$$
21 replies
Taco12
Mar 1, 2023
emmarose55
an hour ago
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inequalities proplem
Cobedangiu   5
N 2 hours ago by Cobedangiu
$x,y\in R^+$ and $x+y-2\sqrt{x}-\sqrt{y}=0$. Find min A (and prove):
$A=\sqrt{\dfrac{5}{x+1}}+\dfrac{16}{5x^2y}$
5 replies
Cobedangiu
Apr 18, 2025
Cobedangiu
2 hours ago
J
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Killer NT that nobody solved (also my hardest NT ever created)
mshtand1   6
N 2 hours ago by maromex
Source: Ukraine IMO 2025 TST P8
A positive integer number \( a \) is chosen. Prove that there exists a prime number that divides infinitely many terms of the sequence \( \{b_k\}_{k=1}^{\infty} \), where
\[ b_k = a^{k^k} \cdot 2^{2^k - k} + 1. \]
Proposed by Arsenii Nikolaev and Mykhailo Shtandenko
6 replies
mshtand1
Apr 19, 2025
maromex
2 hours ago
J
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Existence of AP of interesting integers
DVDthe1st   35
N 2 hours ago by cursed_tangent1434
Source: 2018 China TST Day 1 Q2
A number $n$ is interesting if 2018 divides $d(n)$ (the number of positive divisors of $n$). Determine all positive integers $k$ such that there exists an infinite arithmetic progression with common difference $k$ whose terms are all interesting.
35 replies
DVDthe1st
Jan 2, 2018
cursed_tangent1434
2 hours ago
J
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Nice inequalities
sealight2107   0
3 hours ago
Problem: Let $a,b,c \ge 0$, $a+b+c=1$.Find the largest $k >0$ that satisfies:
$\sqrt{a+k(b-c)^2} + \sqrt{b+k(c-a)^2} + \sqrt{c+k(a-b)^2} \le \sqrt{3}$
0 replies
sealight2107
3 hours ago
0 replies
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Number Theory
AnhQuang_67   3
N 3 hours ago by GreekIdiot
Source: HSGSO 2024
Let $p$ be an odd prime number and a sequence $\{a_n\}_{n=1}^{+\infty}$ satisfy $$a_1=1, a_2=2$$and $$a_{n+2}=2\cdot a_{n+1}+3\cdot a_n, \forall n \geqslant 1$$Prove that always exists positive integer $k$ satisfying for all positive integers $n$, then $a_n \ne k \mod{p}$.

P/s: $\ne$ is "not congruence"
3 replies
AnhQuang_67
4 hours ago
GreekIdiot
3 hours ago
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cutoffs for RSM IMC
bubby617   27
N Apr 14, 2025 by RabtejKalra
what are the percentile cutoffs for the RSM IMC? i got in with an 82nd percentile so im curious on the requirements for advancement in R1/prizes in R2
27 replies
bubby617
Apr 12, 2025
RabtejKalra
Apr 14, 2025
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cutoffs for RSM IMC
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Reveal topic tags
RSM IMC
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bubby617
5 posts
bubby617
#1 h  Apr 12, 2025, 10:18 PM • 1 Y
Y by RainbowJessa
what are the percentile cutoffs for the RSM IMC? i got in with an 82nd percentile so im curious on the requirements for advancement in R1/prizes in R2
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jb2015007
1917 posts
jb2015007
#2 h  Apr 12, 2025, 10:27 PM • 1 Y
Y by RainbowJessa
im taking r2 in 2hours
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ZMB038
103 posts
ZMB038
#3 h  Apr 12, 2025, 10:36 PM • 1 Y
Y by RainbowJessa
What is RSM IMC?
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RabtejKalra
65 posts
RabtejKalra
#4 h  Apr 12, 2025, 11:39 PM • 1 Y
Y by RainbowJessa
When are we allowed to discuss the problems?
This post has been edited 1 time. Last edited by RabtejKalra, Apr 12, 2025, 11:40 PM
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ethan2011
297 posts
ethan2011
#5 h  Apr 12, 2025, 11:57 PM • 1 Y
Y by RainbowJessa
ZMB038 wrote:
What is RSM IMC?

I think Russian School Math International Math Competition? Someone correct me if I'm wrong.
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Jaxman8
113 posts
Jaxman8
#7 h  Apr 13, 2025, 2:58 AM • 1 Y
Y by RainbowJessa
Correct.
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apex304
524 posts
apex304
#8 h  Apr 13, 2025, 3:28 AM • 2 Y
Y by RainbowJessa, EthanNg6
bubby617 wrote:
what are the percentile cutoffs for the RSM IMC? i got in with an 82nd percentile so im curious on the requirements for advancement in R1/prizes in R2

where do you see the percentiles? I got a 14 on r1 but idk what percentile that is...
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RabtejKalra
65 posts
RabtejKalra
#9 h  Apr 13, 2025, 3:39 AM • 1 Y
Y by RainbowJessa
I'm pretty sure you have to buy the performance report
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RabtejKalra
65 posts
RabtejKalra
#10 h  Apr 13, 2025, 3:39 AM • 1 Y
Y by RainbowJessa
How do you think you did on the second round
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jb2015007
1917 posts
jb2015007
#11 h  Apr 13, 2025, 3:50 AM • 1 Y
Y by RainbowJessa
10/12 prolly bc of sillies
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ZMB038
103 posts
ZMB038
#12 h  Apr 13, 2025, 2:21 PM • 1 Y
Y by RainbowJessa
ethan2011 wrote:
ZMB038 wrote:
What is RSM IMC?

I think Russian School Math International Math Competition? Someone correct me if I'm wrong.

Thanks Ethan2011, maybe I'll try it next year.
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littlebigbull
567 posts
littlebigbull
#13 h  Apr 14, 2025, 12:21 AM • 1 Y
Y by RainbowJessa
bro i messed up i thought it is today but at 11 i checks and it was yesterday so i took it and i was so tired sob!
think i got 10/12 tho
8 and 11 messed me up
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jb2015007
1917 posts
jb2015007
#14 h  Apr 14, 2025, 12:52 AM • 1 Y
Y by RainbowJessa
11 and 12 messed me up bro i spent 45 mins on 1 question js to cheese it
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sadas123
1232 posts
sadas123
#15 h  Apr 14, 2025, 12:53 AM • 1 Y
Y by RainbowJessa
is this a proof compeititon? or is it mcq or is it fr?
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jb2015007
1917 posts
jb2015007
#16 h  Apr 14, 2025, 1:06 AM • 1 Y
Y by RainbowJessa
Its short answer
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sadas123
1232 posts
sadas123
#17 h  Apr 14, 2025, 1:18 AM • 1 Y
Y by RainbowJessa
jb2015007 wrote:
Its short answer

ohh thanks!
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MathCosine
149 posts
MathCosine
#18 h  Apr 14, 2025, 1:29 AM • 1 Y
Y by RainbowJessa
jb2015007 wrote:
11 and 12 messed me up bro i spent 45 mins on 1 question js to cheese it

was it that hard?

on a side note
This post has been edited 1 time. Last edited by MathCosine, Apr 14, 2025, 2:11 AM
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Schintalpati
615 posts
Schintalpati
#19 h  Apr 14, 2025, 1:37 AM • 1 Y
Y by RainbowJessa
I didn't do #12 cuz I had to go somewhere lol, so I submitted the test right after finishing 1-11, 11 is fine ig
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jb2015007
1917 posts
jb2015007
#20 h  Apr 14, 2025, 1:42 AM • 1 Y
Y by RainbowJessa
bruh schinilpati finally didnt perfect in something lol
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jb2015007
1917 posts
jb2015007
#21 h  Apr 14, 2025, 1:43 AM • 1 Y
Y by RainbowJessa
MathCosine wrote:
jb2015007 wrote:
11 and 12 messed me up bro i spent 45 mins on 1 question js to cheese it

was it that hard?

on a side note

no it was rlly ez i was prolly js delusional it was super ez and after that long i barely solved it with time to spare
This post has been edited 1 time. Last edited by jb2015007, Apr 14, 2025, 1:43 AM
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Schintalpati
615 posts
Schintalpati
#22 h  Apr 14, 2025, 1:43 AM • 1 Y
Y by RainbowJessa
jb2015007 wrote:
bruh schinilpati finally didnt perfect in something lol

not true bruh I rarely perfect :skull:
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jb2015007
1917 posts
jb2015007
#23 h  Apr 14, 2025, 1:44 AM • 1 Y
Y by RainbowJessa
11 and 12 were doable for me in like 5 mins but i spent like 3/5 of the time on that one question bro :wallbash_red:
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apex304
524 posts
apex304
#24 h  Apr 14, 2025, 1:58 AM • 1 Y
Y by RainbowJessa
bro wasn't 12 on 8th grade like 504?
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MathCosine
149 posts
MathCosine
#25 h  Apr 14, 2025, 2:11 AM
Y by
apex304 wrote:
bro wasn't 12 on 8th grade like [REDACTED NUMERAL]?

yeah yeah 7-8 test i got that too
phew my perfect is safe for now
This post has been edited 1 time. Last edited by MathCosine, Apr 14, 2025, 2:43 AM
Z K Y
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jb2015007
1917 posts
jb2015007
#26 h  Apr 14, 2025, 2:42 AM
Y by
lol i guessed 1434
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jb2015007
1917 posts
jb2015007
#27 h  Apr 14, 2025, 2:43 AM
Y by
idk if were allowed to discuss tho so lets js refrain from talking about it to be safe
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apex304
524 posts
apex304
#28 h  Apr 14, 2025, 2:56 AM
Y by
MathCosine wrote:
apex304 wrote:
bro wasn't 12 on 8th grade like [REDACTED NUMERAL]?

yeah yeah 7-8 test i got that too
phew my perfect is safe for now

same lol :)
Z K Y
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RabtejKalra
65 posts
RabtejKalra
#29 h  Apr 14, 2025, 10:41 PM
Y by
For 12 on 5th grade, i got 1280, dunno if that's what you guys got
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