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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 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]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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Bogus Proof Marathon
pifinity   7598
N 23 minutes ago by Pengu14
Hi!
I'd like to introduce the Bogus Proof Marathon.

In this marathon, simply post a bogus proof that is middle-school level and the next person will find the error. You don't have to post the real solution :P

Use classic Marathon format: 
[hide=P#]a1b2c3[/hide]
[hide=S#]a1b2c3[/hide]


Example posts:

P(x)
-----
S(x)
P(x+1)
-----
Let's go!! Just don't make it too hard!
7598 replies
pifinity
Mar 12, 2018
Pengu14
23 minutes ago
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Another factorisation problem
kjhgyuio   3
N 33 minutes ago by Solar Plexsus
........
3 replies
kjhgyuio
Apr 17, 2025
Solar Plexsus
33 minutes ago
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Maximum with the condition $x^2+y^2+z^2=1$
hlminh   0
38 minutes 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
38 minutes ago
0 replies
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Two lines meet on semicircle
va2010   86
N 41 minutes 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
41 minutes ago
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Inspired by old results
sqing   3
N an hour 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
5 hours ago
sqing
an hour ago
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x^n + 1 = y^{n+1}
orl   8
N an hour 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
an hour ago
J
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A cyclic inequality
KhuongTrang   13
N an hour ago by KhuongTrang
Source: own-CRUX
IMAGE
Link
13 replies
KhuongTrang
Apr 2, 2025
KhuongTrang
an hour ago
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Quadric function
soryn   4
N an hour ago by soryn
If f(x)=ax^2+bx+c, a,b,c integers, |a|>=3, and M îs the set of integers x for which f(x) is a prime number and f has exactly one integer solution,prove that M has at most three elements.
4 replies
soryn
Apr 18, 2025
soryn
an hour ago
J
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Weird Geo
Anto0110   2
N 2 hours ago by Anto0110
In a trapezium $ABCD$, the sides $AB$ and $CD$ are parallel and the angles $\angle ABC$ and $\angle BAD$ are acute. Show that it is possible to divide the triangle $ABC$ into 4 disjoint triangle $X_1. . . , X_4$ and the triangle $ABD$ into 4 disjoint triangles $Y_1,. . . , Y_4$ such that the triangles $X_i$ and $Y_i$ are congruent for all $i$.
2 replies
Anto0110
Yesterday at 9:24 PM
Anto0110
2 hours ago
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Advanced topics in Inequalities
va2010   19
N 2 hours ago by Novmath
So a while ago, I compiled some tricks on inequalities. You are welcome to post solutions below!
19 replies
va2010
Mar 7, 2015
Novmath
2 hours ago
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Inequality
giangtruong13   0
2 hours ago
Let $a,b,c >0$ such that: $a^2+b^2+c^2=3$. Prove that: $$\frac{b^2}{a}+\frac{c^2}{b}+\frac{a^2}{c}+abc \geq 4$$
0 replies
giangtruong13
2 hours ago
0 replies
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Camp Conway acceptance
fossasor   17
N Today at 2:29 AM by fossasor
Hello! I've just been accepted into Camp Conway, but I'm not sure how popular this camp actually is, given that it's new. Has anyone else applied/has been accepted/is going? (I'm trying to figure out to what degree this acceptance was just lack of qualified applicants, so I can better predict my chances of getting into my preferred math camp.)
17 replies
fossasor
Feb 20, 2025
fossasor
Today at 2:29 AM
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Facts About 2025!
Existing_Human1   249
N Today at 2:02 AM by EthanNg6
Hello AOPS,

As we enter the New Year, the most exciting part is figuring out the mathematical connections to the number we have now temporally entered

Here are some facts about 2025:
$$2025 = 45^2 = (20+25)(20+25)$$$$2025 = 1^3 + 2^3 +3^3 + 4^3 +5^3 +6^3 + 7^3 +8^3 +9^3 = (1+2+3+4+5+6+7+8+9)^2 = {10 \choose 2}^2$$
If anyone has any more facts about 2025, enlighted the world with a new appreciation for the year


(I got some of the facts from this video)
249 replies
Existing_Human1
Jan 1, 2025
EthanNg6
Today at 2:02 AM
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Area of Polygon
AIME15   43
N Today at 1:59 AM by EthanNg6
The area of polygon $ ABCDEF$, in square units, is

IMAGE

\[ \textbf{(A)}\ 24 \qquad \textbf{(B)}\ 30 \qquad \textbf{(C)}\ 46 \qquad \textbf{(D)}\ 66 \qquad \textbf{(E)}\ 74 \]
43 replies
AIME15
Jan 12, 2009
EthanNg6
Today at 1:59 AM
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J
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mathcounts state score thread
Soupboy0   79
N Apr 7, 2025 by pingpongmerrily
\begin{table}[]
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ & & & & & \\ & & & & & \end{tabular}\end{table}
79 replies
Soupboy0
Apr 1, 2025
pingpongmerrily
Apr 7, 2025
J
mathcounts state score thread
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Reveal topic tags
MATHCOUNTS
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Soupboy0
334 posts
Soupboy0
#1 h  Apr 1, 2025, 2:53 PM • 1 Y
Y by PikaPika999
\begin{table}[]
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ & & & & & \\ & & & & & \end{tabular}\end{table}
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Catcumber
162 posts
Catcumber
#2 h  Apr 1, 2025, 2:58 PM • 1 Y
Y by PikaPika999
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ Catcumber & 37 & 23 & 14 & no & 3 \\ \end{tabular}qb
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Dutchb
11 posts
Dutchb
#3 h  Apr 1, 2025, 3:02 PM • 1 Y
Y by PikaPika999
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ Catcumber & 37 & 23 & 14 & no & 3 \\ Dutchb & 26 & 16 & 10 & no & 9 \end{tabular}
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1245007
6 posts
1245007
#4 h  Apr 1, 2025, 3:14 PM • 1 Y
Y by PikaPika999
how did you have 9 sillies. I had like 3 or 4
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Dutchb
11 posts
Dutchb
#5 h  Apr 1, 2025, 3:15 PM • 1 Y
Y by PikaPika999
MATHCOUNTSFOUNDER wrote:
how did you have 9 sillies. I had like 3 or 4

are you ray?
yeah 6 on sprint and 3 on target
I sold so horrendously bad
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1245007
6 posts
1245007
#6 h  Apr 1, 2025, 3:17 PM • 1 Y
Y by PikaPika999
the test was easier than last year fs
This post has been edited 3 times. Last edited by 1245007, Apr 2, 2025, 1:40 PM
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martianrunner
169 posts
martianrunner
#7 h  Apr 1, 2025, 3:20 PM • 1 Y
Y by PikaPika999
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ Catcumber & 37 & 23 & 14 & no & 3 \\ Dutchb & 26 & 16 & 10 & no & 9 \\ martianrunner & 36 & 22 & 14 & no & 4 \end{tabular}
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Dutchb
11 posts
Dutchb
#8 h  Apr 1, 2025, 3:21 PM • 1 Y
Y by PikaPika999
MATHCOUNTSFOUNDER wrote:
yeah, bruh you cant call the three that you got wrong on target sillies. maybe like 1 or 2

I put 2025 for subset problem cuz I was being goofy, I put 13.5 instead of 27/2, and I got both leg lengths correct on the right triangle I just Pythagorean theoremed wrong
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martianrunner
169 posts
martianrunner
#9 h  Apr 1, 2025, 3:23 PM • 1 Y
Y by PikaPika999
for target p4 my brain wasnt braining and i literally just couldnt solve it

i was looking at my paper for like the whole time

although even if that was correct i wouldve been 4 points off (ca grr)
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Bummer12345
135 posts
Bummer12345
#10 h  Apr 1, 2025, 3:25 PM
Y by
predicted score
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ Bummer12345 & 38 & 24 & 14 & yes & 7 \\ Catcumber & 37 & 23 & 14 & no & 3 \\ Dutchb & 26 & 16 & 10 & no & 9 \\ martianrunner & 36 & 22 & 14 & no & 4 \end{tabular}sillied 2 problems before 20, 20, 26, 27, 30, target p8 :(
This post has been edited 1 time. Last edited by Bummer12345, Apr 1, 2025, 3:25 PM
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dadatuzhijia33
291 posts
dadatuzhijia33
#11 h  Apr 1, 2025, 3:25 PM
Y by
How do you find ur score?
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Soupboy0
334 posts
Soupboy0
#12 h  Apr 1, 2025, 3:29 PM
Y by
Bummer12345 wrote:
predicted score
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ Bummer12345 & 38 & 24 & 14 & yes & 7 \\ Catcumber & 37 & 23 & 14 & no & 3 \\ Dutchb & 26 & 16 & 10 & no & 9 \\ martianrunner & 36 & 22 & 14 & no & 4 \end{tabular}

sillied 2 problems before 20, 20, 26, 27, 30, target p8 :(

how did bro silly 26
This post has been edited 1 time. Last edited by Soupboy0, Apr 1, 2025, 3:29 PM
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pl246631
14 posts
pl246631
#13 h  Apr 1, 2025, 3:43 PM
Y by
Idk how to add score to table can someone add mine? Sprint:27, Target:14, nats: yes, Sillies:3
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Soupboy0
334 posts
Soupboy0
#14 h  Apr 1, 2025, 3:44 PM
Y by
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ Bummer12345 & 38 & 24 & 14 & yes & 7 \\ Catcumber & 37 & 23 & 14 & no & 3 \\ Dutchb & 26 & 16 & 10 & no & 9 \\ martianrunner & 36 & 22 & 14 & no & 4 \\ pl246631 & 41 & 27 & 14 & yes & 3 \\ \end{tabular}
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Inaaya
271 posts
Inaaya
#16 h  Apr 1, 2025, 6:12 PM
Y by
\begin{tabular}{llllll} Username & Score & Sprint & Target & Nats? & Sillies \\ Soupboy0 & 40 & 24 & 16 & yes & 6 \\ Bummer12345 & 38 & 24 & 14 & yes & 7 \\ Catcumber & 37 & 23 & 14 & no & 3 \\ Dutchb & 26 & 16 & 10 & no & 9 \\ martianrunner & 36 & 22 & 14 & no & 4 \\ pl246631 & 41 & 27 & 14 & yes & 3 \\ Inaaya & 24 & 18 & 6 & no & 8 \\ \end{tabular}
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