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k a May Highlights and 2025 AoPS Online Class Information
jlacosta   0
May 1, 2025
May is an exciting month! National MATHCOUNTS is the second week of May in Washington D.C. and our Founder, Richard Rusczyk will be presenting a seminar, Preparing Strong Math Students for College and Careers, on May 11th.

Are you interested in working towards MATHCOUNTS and don’t know where to start? We have you covered! If you have taken Prealgebra, then you are ready for MATHCOUNTS/AMC 8 Basics. Already aiming for State or National MATHCOUNTS and harder AMC 8 problems? Then our MATHCOUNTS/AMC 8 Advanced course is for you.

Summer camps are starting next month at the Virtual Campus in math and language arts that are 2 - to 4 - weeks in duration. Spaces are still available - don’t miss your chance to have an enriching summer experience. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following upcoming events:
[list][*]May 9th, 4:30pm PT/7:30pm ET, Casework 2: Overwhelming Evidence — A Text Adventure, a game where participants will work together to navigate the map, solve puzzles, and win! All are welcome.
[*]May 19th, 4:30pm PT/7:30pm ET, What's Next After Beast Academy?, designed for students finishing Beast Academy and ready for Prealgebra 1.
[*]May 20th, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 1 Math Jam, Problems 1 to 4, join the Canada/USA Mathcamp staff for this exciting Math Jam, where they discuss solutions to Problems 1 to 4 of the 2025 Mathcamp Qualifying Quiz!
[*]May 21st, 4:00pm PT/7:00pm ET, Mathcamp 2025 Qualifying Quiz Part 2 Math Jam, Problems 5 and 6, Canada/USA Mathcamp staff will discuss solutions to Problems 5 and 6 of the 2025 Mathcamp Qualifying Quiz![/list]
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0 replies
jlacosta
May 1, 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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A factorial equals sum of factorials
Ege_Saribass   1
N 18 minutes ago by Ege_Saribass
Source: Own
Let $n$ be given positive integer. Suppose that there is only one positive integer $m$ which satisfies the equation
$$m! = a_1! + a_2! + a_3! + \dots + a_n!$$for some positive integers $a_1, a_2, a_3, \dots, a_n$.Then find all possible values of the positive integer $n$.
1 reply
2 viewing
Ege_Saribass
19 minutes ago
Ege_Saribass
18 minutes ago
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Long and wacky inequality
Royal_mhyasd   3
N 21 minutes ago by Royal_mhyasd
Source: Me
Let $x, y, z$ be positive real numbers such that $x^2 + y^2 + z^2 = 12$. Find the minimum value of the following sum :
$$\sum_{cyc}\frac{(x^3+2y)^3}{3x^2yz - 16z - 8yz + 6x^2z}$$knowing that the denominators are positive real numbers.
3 replies
Royal_mhyasd
May 12, 2025
Royal_mhyasd
21 minutes ago
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y^2 = x^3 + 2x^2 + 2x + 1
pokmui9909   10
N 23 minutes ago by Assassino9931
Source: KJMO 2023 P1
Find all integer pairs $(x, y)$ such that $$y^2 = x^3 + 2x^2 + 2x + 1.$$
10 replies
pokmui9909
Nov 4, 2023
Assassino9931
23 minutes ago
J
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Integer polynomial commutes with sum of digits
cjquines0   44
N 28 minutes ago by Shreyasharma
Source: 2016 IMO Shortlist N1
For any positive integer $k$, denote the sum of digits of $k$ in its decimal representation by $S(k)$. Find all polynomials $P(x)$ with integer coefficients such that for any positive integer $n \geq 2016$, the integer $P(n)$ is positive and $$S(P(n)) = P(S(n)).$$
Proposed by Warut Suksompong, Thailand
44 replies
cjquines0
Jul 19, 2017
Shreyasharma
28 minutes ago
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He's right though. [NICE MO 2021/8]
dchenmathcounts   19
N 29 minutes ago by ihategeo_1969
Source: NICE MO 2021 Day 2 Problem 8
Denote $H$ and $I$ as the orthocenter and incenter, respectively, of triangle $\triangle ABC$. Let $M$ be the midpoint of $\overline{BC}$. Prove that $\angle{HIM} = 90^\circ$ if and only if $AB + AC = 2BC$.
19 replies
dchenmathcounts
Apr 5, 2021
ihategeo_1969
29 minutes ago
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Hyperbola through symmedian point
MarkBcc168   9
N 30 minutes ago by ihategeo_1969
Source: 2024 HMIC Problem 5
Let $ABC$ be an acute, scalene triangle with circumcenter $O$ and symmedian point $K$. Let $X$ be the point on the circumcircle of triangle $BOC$ such that $\angle AXO = 90^\circ$. Assume that $X\neq K$. The hyperbola passing through $B$, $C$, $O$, $K$, and $X$ intersects the circumcircle of triangle $ABC$ at points $U$ and $V$, distinct from $B$ and $C$. Prove that $UV$ is the perpendicular bisector of $AX$.

The symmedian point of triangle $ABC$ is the intersection of the reflections of $B$-median and $C$-median across the angle bisectors of $\angle ABC$ and $\angle ACB$, respectively.

Pitchayut Saengrungkongka
9 replies
MarkBcc168
Apr 22, 2024
ihategeo_1969
30 minutes ago
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standard form
Fishfolk451   4
N 33 minutes ago by Fishfolk451
What are A , B, and C in standard form in chapter nine question four?
I know that x and y are points in the yellow area of the diagram.
4 replies
Fishfolk451
May 14, 2025
Fishfolk451
33 minutes ago
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Computer too strong
Eyed   62
N an hour ago by AR17296174
Source: 2020 ISL G6
Let $ABC$ be a triangle with $AB < AC$, incenter $I$, and $A$ excenter $I_{A}$. The incircle meets $BC$ at $D$. Define $E = AD\cap BI_{A}$, $F = AD\cap CI_{A}$. Show that the circumcircle of $\triangle AID$ and $\triangle I_{A}EF$ are tangent to each other
62 replies
1 viewing
Eyed
Jul 20, 2021
AR17296174
an hour ago
J
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Problem 5
blug   0
an hour ago
Source: Czech-Polish-Slovak Junior Match 2025 Problem 5
For every integer $n\geq 1$ prove that
$$\frac{1}{n+1}-\frac{2}{n+2}+\frac{3}{n+3}-\frac{4}{n+4}+...+\frac{2n-1}{3n-1}>\frac{1}{3}.$$
0 replies
blug
an hour ago
0 replies
J
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Problem 1
blug   1
N an hour ago by Primeniyazidayi
Source: Czech-Polish-Slovak Junior Match 2025 Problem 1
Find all primes $p, q, r$ such that
$$p^3+p^2+p+1=qr.$$
1 reply
blug
an hour ago
Primeniyazidayi
an hour ago
J
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Problem 4
blug   0
an hour ago
Source: Czech-Polish-Slovak Junior Match 2025 Problem 4
Three non-negative integers are written on the board. In every step, the three numbers $(a, b, c)$ are being replaced with $a+b, b+c, c+a$. Find the biggest number of steps, after which the number $111$ will appear on the board.
0 replies
blug
an hour ago
0 replies
J
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2000th Post!
PikaPika999   44
N 2 hours ago by pingpongmerrily
1. How many ways can you arrange the letters in the word ALGEBRA such that no two identical letters are adjacent?

2. Find the smallest positive integer n such that $n^2+n+41$ is not a prime number.

3. You have 4 red tiles, 3 blue tiles, and 2 green tiles. How many ways can you arrange them in a row such that no two tiles of the same color are adjacent?

4. You flip a fair coin repeatedly until you either get 3 tails or 4 heads. What is the expected value of the number of flips before stopping?

5. Let $A(2,3)$ and $B(8,7)$ be two points in the coordinate plane. A circle is drawn such that $\overline{AB}$ is a diameter.

(a). Find the equation of the circle in the form $(x+a)^2+(y+b)^2=r^2$

(b). A line passes through the point P(6,2) and is tangent to the circle. Find the equation of this tangent line.

hopefully these problems weren't too easy lol

also,
Please tell me if any of these problems have any flaws! (also please put your answers in hide tags or quote tags)
44 replies
PikaPika999
Yesterday at 1:53 AM
pingpongmerrily
2 hours ago
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Challenge: Make every number to 100 using 4 fours
CJB19   193
N 2 hours ago by GallopingUnicorn45
I've seen this attempted a lot but I want to see if the AoPS community can actually do it. Using ONLY 4 fours and math operations, make as many numbers as you can. Try to go in order. I'll start:
$$(4-4)*4*4=0$$$$4-4+4/4=1$$$$4/4+4/4=2$$$$(4+4+4)/4=3$$$$4+(4-4)*4=4$$$$4+4^{4-4}=5$$$$4!/4+4-4=6$$$$4+4-4/4=7$$$$4+4+4-4=8$$
193 replies
CJB19
May 15, 2025
GallopingUnicorn45
2 hours ago
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9 AMC 8 Scores
ChromeRaptor777   156
N 3 hours ago by GYRAD0S
As far as I'm certain, I think all AMC8 scores are already out. Vote above.
156 replies
ChromeRaptor777
Apr 1, 2022
GYRAD0S
3 hours ago
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Website to learn math
hawa   89
N Yesterday at 4:07 AM by nmlikesmath
Hi, I'm kinda curious what website do yall use to learn math, like i dont find any website thats fun to learn math
89 replies
hawa
Apr 9, 2025
nmlikesmath
Yesterday at 4:07 AM
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Website to learn math
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Reveal topic tags
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Spacepandamath13
397 posts
Spacepandamath13
#77 h  May 9, 2025, 10:44 PM
Y by
There is no magic resource, it's just how much you use it. However, do avoid ones where they just want you to get high scores in one competition for ads.
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FabulousWallaby53
93 posts
FabulousWallaby53
#78 h  May 9, 2025, 10:50 PM
Y by
I’m in 6th…… If you can get prodigy to do higher grades prodigy is fun…
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Inaaya
393 posts
Inaaya
#79 h  May 9, 2025, 11:08 PM
Y by
FabulousWallaby53 wrote:
I’m in 6th…… If you can get prodigy to do higher grades prodigy is fun…

NO. NO PRODIGY. PLEASE
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Capybara7017
370 posts
Capybara7017
#80 h  May 13, 2025, 9:16 PM
Y by
is prodigy like kumon? i was forced to do it but eventually quit
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GallopingUnicorn45
418 posts
GallopingUnicorn45
#81 h  May 13, 2025, 10:53 PM
Y by
prodigy is more of a game bro
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CJB19
67 posts
CJB19
#82 h  May 13, 2025, 11:01 PM
Y by
AoPS is definitely my website of choice. I've used other ones but I think that if you're working on competitions like MATHCOUNTS and AMC, AoPS has such a good selection of courses and tools. Alcumus is super helpful, and I've also gotten some books made by AoPS.
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valenbb
677 posts
valenbb
#83 h  May 13, 2025, 11:16 PM
Y by
prodigy is ok for learning math, very p2w and it's more about the game itself, the math is just an excuse for students to play it ngl :yup:
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car0t
301 posts
car0t
#84 h  May 13, 2025, 11:21 PM • 1 Y
Y by valenbb
valenbb wrote:
prodigy is ok for learning math, very p2w and it's more about the game itself, the math is just an excuse for students to play it ngl :yup:

it is much less than ok
it is, essentially, a corrupted, evil excuse for math
This post has been edited 1 time. Last edited by car0t, May 13, 2025, 11:21 PM
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Math-lover1
301 posts
Math-lover1
#85 h  May 13, 2025, 11:23 PM • 1 Y
Y by valenbb
car0t wrote:
it is much less than ok
it is, essentially, a corrupted, evil excuse for math

fr
aops >>>>>>>>>>>>>>>>>>>> prodigy
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valenbb
677 posts
valenbb
#86 h  May 13, 2025, 11:31 PM
Y by
car0t wrote:
valenbb wrote:
prodigy is ok for learning math, very p2w and it's more about the game itself, the math is just an excuse for students to play it ngl :yup:

it is much less than ok
it is, essentially, a corrupted, evil excuse for math

i will rephrase then:
prodigy is terrible for learning math, very p2w and it's more about the game itself, the math is just an excuse for students to play it ngl :yup:
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jb2015007
1967 posts
jb2015007
#87 h  May 13, 2025, 11:50 PM • 1 Y
Y by valenbb
hawa wrote:
Hi, I'm kinda curious what website do yall use to learn math, like i dont find any website thats fun to learn math

Its called AoPS. Might've heard of it. Not too sure.
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ZMB038
234 posts
ZMB038
#88 h  May 14, 2025, 12:35 AM
Y by
AoPS is the best way to learn math, unless you’re an alumni.
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Spacepandamath13
397 posts
Spacepandamath13
#89 h  Yesterday at 2:00 AM
Y by
I heard about a website called youtube.com/shorts. It's a good way to waste precious hours of your life and maximize your time not working.
This post has been edited 1 time. Last edited by Spacepandamath13, Yesterday at 2:00 AM
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nmlikesmath
521 posts
nmlikesmath
#90 h  Yesterday at 4:06 AM
Y by
Its also a good way to become brainrotted
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nmlikesmath
521 posts
nmlikesmath
#91 h  Yesterday at 4:07 AM • 1 Y
Y by valenbb
car0t wrote:
valenbb wrote:
prodigy is ok for learning math, very p2w and it's more about the game itself, the math is just an excuse for students to play it ngl :yup:

it is much less than ok
it is, essentially, a corrupted, evil excuse for math

nah prodigy is not good at all for math, but yall gotta admit playing the game is actually fun and the actual game playing is fire, you just don't learn any math but for free time it was peak during 3rd grade
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