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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.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

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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
J
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9 AMC 8 Scores
ChromeRaptor777   107
N 20 minutes ago by Yolandayu
As far as I'm certain, I think all AMC8 scores are already out. Vote above.
107 replies
ChromeRaptor777
Apr 1, 2022
Yolandayu
20 minutes ago
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AMC 10 Preparation over 6 months
raresillypanther   35
N 33 minutes ago by mathkidAP
Hi, I'm currently in 8th grade and I have about 6 months left to prepare for the AMC 10, and I really want to qualify for AIME and get above a 100. I took the AMC 8 this year and did really bad, with a score of 16, and a 35 on the MATHCOUNTS Chapter test. I have a feeling I would get about a 70 on the AMC 10 now, so I want to be able to improve by 30 points in 6 months. Is that possible? I have summer break coming up so I feel like I could study for about 4 hours a day every single day, and I'm willing to if that's what it takes. Do you have any ideas for what resources I should use? I know about Alcumus and I have some of the AOPS books, but not all of them. If you have any tips, let me know. Thank you so much!
35 replies
+1 w
raresillypanther
Yesterday at 10:18 PM
mathkidAP
33 minutes ago
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ENTER YOUR CHAPTER INVITATIONAL SCORE
ihatemath123   106
N an hour ago by Soupboy0
I'll start:
\begin{tabular}{|c|c|c|c|c|}Username&Grade&Sprint&Target&TOTAL \\ \hline ihatemath123&7&26&6&38 \\ \hline \end{tabular}
106 replies
ihatemath123
Feb 27, 2021
Soupboy0
an hour ago
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1234th Post!
PikaPika999   179
N an hour ago by vsarg
I hit my 1234th post! (I think I missed it, I'm kinda late, :oops_sign:)

But here's a puzzle for you all! Try to create the numbers 1 through 25 using the numbers 1, 2, 3, and 4! You are only allowed to use addition, subtraction, multiplication, division, and parenthesis. If you're post #1, try to make 1. If you're post #2, try to make 2. If you're post #3, try to make 3, and so on. If you're a post after 25, then I guess you can try to make numbers greater than 25 but you can use factorials, square roots, and that stuff. Have fun!

1: $(4-3)\cdot(2-1)$
179 replies
PikaPika999
Apr 21, 2025
vsarg
an hour ago
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FE solution too simple?
Yiyj1   9
N 2 hours ago by jasperE3
Source: 101 Algebra Problems from the AMSP
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that the equality $$f(f(x)+y) = f(x^2-y)+4f(x)y$$holds for all pairs of real numbers $(x,y)$.

My solution

I feel like my solution is too simple. Is there something I did wrong or something I missed?
9 replies
Yiyj1
Apr 9, 2025
jasperE3
2 hours ago
J
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interesting function equation (fe) in IR
skellyrah   2
N 2 hours ago by jasperE3
Source: mine
find all function F: IR->IR such that $$ xf(f(y)) + yf(f(x)) = f(xf(y)) + f(xy) $$
2 replies
skellyrah
Today at 9:51 AM
jasperE3
2 hours ago
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Complicated FE
XAN4   1
N 2 hours ago by jasperE3
Source: own
Find all solutions for the functional equation $f(xyz)+\sum_{cyc}f(\frac{yz}x)=f(x)\cdot f(y)\cdot f(z)$, in which $f$: $\mathbb R^+\rightarrow\mathbb R^+$
Note: the solution is actually quite obvious - $f(x)=x^n+\frac1{x^n}$, but the proof is important.
Note 2: it is likely that the result can be generalized into a more advanced questions, potentially involving more bash.
1 reply
XAN4
Today at 11:53 AM
jasperE3
2 hours ago
J
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Find all sequences satisfying two conditions
orl   34
N 2 hours ago by YaoAOPS
Source: IMO Shortlist 2007, C1, AIMO 2008, TST 1, P1
Let $ n > 1$ be an integer. Find all sequences $ a_1, a_2, \ldots a_{n^2 + n}$ satisfying the following conditions:
\[ \text{ (a) } a_i \in \left\{0,1\right\} \text{ for all } 1 \leq i \leq n^2 + n; \]

\[ \text{ (b) } a_{i + 1} + a_{i + 2} + \ldots + a_{i + n} < a_{i + n + 1} + a_{i + n + 2} + \ldots + a_{i + 2n} \text{ for all } 0 \leq i \leq n^2 - n. \]
Author: Dusan Dukic, Serbia
34 replies
orl
Jul 13, 2008
YaoAOPS
2 hours ago
J
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IMO Shortlist 2011, G4
WakeUp   125
N 2 hours ago by Davdav1232
Source: IMO Shortlist 2011, G4
Let $ABC$ be an acute triangle with circumcircle $\Omega$. Let $B_0$ be the midpoint of $AC$ and let $C_0$ be the midpoint of $AB$. Let $D$ be the foot of the altitude from $A$ and let $G$ be the centroid of the triangle $ABC$. Let $\omega$ be a circle through $B_0$ and $C_0$ that is tangent to the circle $\Omega$ at a point $X\not= A$. Prove that the points $D,G$ and $X$ are collinear.

Proposed by Ismail Isaev and Mikhail Isaev, Russia
125 replies
WakeUp
Jul 13, 2012
Davdav1232
2 hours ago
J
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Z[x], P(\sqrt[3]5+\sqrt[3]25)=5+\sqrt[3]5
jasperE3   5
N 2 hours ago by Assassino9931
Source: VJIMC 2013 2.3
Prove that there is no polynomial $P$ with integer coefficients such that $P\left(\sqrt[3]5+\sqrt[3]{25}\right)=5+\sqrt[3]5$.
5 replies
jasperE3
May 31, 2021
Assassino9931
2 hours ago
J
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IMO problem 1
iandrei   77
N 2 hours ago by YaoAOPS
Source: IMO ShortList 2003, combinatorics problem 1
Let $A$ be a $101$-element subset of the set $S=\{1,2,\ldots,1000000\}$. Prove that there exist numbers $t_1$, $t_2, \ldots, t_{100}$ in $S$ such that the sets \[ A_j=\{x+t_j\mid x\in A\},\qquad j=1,2,\ldots,100 \] are pairwise disjoint.
77 replies
iandrei
Jul 14, 2003
YaoAOPS
2 hours ago
J
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Divisibility on 101 integers
BR1F1SZ   4
N 3 hours ago by BR1F1SZ
Source: Argentina Cono Sur TST 2024 P2
There are $101$ positive integers $a_1, a_2, \ldots, a_{101}$ such that for every index $i$, with $1 \leqslant i \leqslant 101$, $a_i+1$ is a multiple of $a_{i+1}$. Determine the greatest possible value of the largest of the $101$ numbers.
4 replies
BR1F1SZ
Aug 9, 2024
BR1F1SZ
3 hours ago
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2^x+3^x = yx^2
truongphatt2668   2
N 3 hours ago by CM1910
Prove that the following equation has infinite integer solutions:
$$2^x+3^x = yx^2$$
2 replies
truongphatt2668
Yesterday at 3:38 PM
CM1910
3 hours ago
J
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Prove perpendicular
shobber   29
N 3 hours ago by zuat.e
Source: APMO 2000
Let $ABC$ be a triangle. Let $M$ and $N$ be the points in which the median and the angle bisector, respectively, at $A$ meet the side $BC$. Let $Q$ and $P$ be the points in which the perpendicular at $N$ to $NA$ meets $MA$ and $BA$, respectively. And $O$ the point in which the perpendicular at $P$ to $BA$ meets $AN$ produced.

Prove that $QO$ is perpendicular to $BC$.
29 replies
shobber
Apr 1, 2006
zuat.e
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
1918 posts
jb2015007
#2 h  Apr 12, 2025, 10:27 PM • 1 Y
Y by RainbowJessa
im taking r2 in 2hours
Z K Y
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ZMB038
102 posts
ZMB038
#3 h  Apr 12, 2025, 10:36 PM • 1 Y
Y by RainbowJessa
What is RSM IMC?
Z K Y
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RabtejKalra
64 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
64 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
64 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
1918 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
102 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
1918 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
1918 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
148 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
1918 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
1918 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
1918 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
148 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
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jb2015007
1918 posts
jb2015007
#26 h  Apr 14, 2025, 2:42 AM
Y by
lol i guessed 1434
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jb2015007
1918 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 :)
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RabtejKalra
64 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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