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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]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

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0 replies
jlacosta
May 1, 2025
0 replies
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
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
2026 Mathcounts Competition Conversation Area
FJH07   8
N a few seconds ago by pingpongmerrily
Since the 2025 state hub has been locked, this is the new conversation area for talking about problems, preparation, ect.
8 replies
+1 w
FJH07
an hour ago
pingpongmerrily
a few seconds ago
Challenge: Make every number to 100 using 4 fours
CJB19   2
N a few seconds ago by achunaar000
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:
$$(4-4)*4*4=0$$$$4-4+4/4=1$$$$4/4+4/4=2$$$$(4+4+4)/4=3$$$$4+(4-4)*4=4$$$$4+4^(4-4)=5$$$$4!/4+4-4=6$$$$4+4-4/4=7$$$$4+4+4-4=8$$
I can't get the exponent in 5 to work if someone knows how to fix it please tell me
2 replies
CJB19
16 minutes ago
achunaar000
a few seconds ago
(3rd) 100th post!
K1mchi_   45
N 11 minutes ago by just_a_math_girl
oml why am i doing this again

hey guys its my 3rd 100th post this time im just going to post some math this time and pray it doesn’t get taken down

CHALLENGE!
use 3 100s to make as many numbers as possible

EDIT: 3 3s now
45 replies
K1mchi_
Yesterday at 3:06 PM
just_a_math_girl
11 minutes ago
p6 solution lol
Bummer12345   12
N 17 minutes ago by frost13
apparently, nobody solved target p6 but looking back it really wasn't too bad
[quote=2025 target p6]
Person A and Person B are playing tennis, and Person A has a 70% chance of winning each individual point. To win a tennis game, one needs at least 4 points and at least a 2-point lead over the other person. What is the probability that Person A wins?[/quote]
(I forgor the names)

sol

what actually happened during the test
12 replies
Bummer12345
Tuesday at 7:06 PM
frost13
17 minutes ago
4-vars inequality
xytunghoanh   1
N 28 minutes ago by xytunghoanh
For $a,b,c,d \ge 0$ and $a\ge c$, $b \ge d$. Prove that
$$a+b+c+d+ac+bd+8 \ge 2(\sqrt{ab}+\sqrt{bc}+\sqrt{cd}+\sqrt{da}+\sqrt{ac}+\sqrt{bd})$$.
1 reply
xytunghoanh
2 hours ago
xytunghoanh
28 minutes ago
ARO 2011 11-8
sartt   19
N 31 minutes ago by Double07
Let $N$ be the midpoint of arc $ABC$ of the circumcircle of triangle $ABC$, let $M$ be the midpoint of $AC$ and let $I_1, I_2$ be the incentres of triangles $ABM$ and $CBM$. Prove that points $I_1, I_2, B, N$ lie on a circle.

M. Kungojin
19 replies
sartt
May 3, 2011
Double07
31 minutes ago
APMO 2017: (ADZ) passes through M
BartSimpsons   78
N an hour ago by Ihatecombin
Source: APMO 2017, problem 2
Let $ABC$ be a triangle with $AB < AC$. Let $D$ be the intersection point of the internal bisector of angle $BAC$ and the circumcircle of $ABC$. Let $Z$ be the intersection point of the perpendicular bisector of $AC$ with the external bisector of angle $\angle{BAC}$. Prove that the midpoint of the segment $AB$ lies on the circumcircle of triangle $ADZ$.

Olimpiada de Matemáticas, Nicaragua
78 replies
BartSimpsons
May 14, 2017
Ihatecombin
an hour ago
Inspired by Baltic Way 2005
sqing   5
N an hour ago by sqing
Source: Own
Let $ a,b,c>0 , a+b+(a+b)^2=6$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq \frac{3}{2} $$Let $ a,b,c>0 , a+b+(a-b)^2=2$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq 1 $$Let $ a,b,c>0 , a+b+a^2+b^2=4$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq \frac{1+\sqrt{17}}{4} $$Let $ a,b,c>0 , a+b+a^2+b^2+ab=5$. Prove that
$$ \frac {a}{b+2}+\frac {b}{a+2}+\frac {1}{ab+2}\leq \frac{1+\sqrt{21}}{4} $$
5 replies
sqing
4 hours ago
sqing
an hour ago
JBMO TST Bosnia and Herzegovina 2022 P3
Motion   8
N an hour ago by AylyGayypow009
Source: JBMO TST Bosnia and Herzegovina 2022
Let $ABC$ be an acute triangle. Tangents on the circumscribed circle of triangle $ABC$ at points $B$ and $C$ intersect at point $T$. Let $D$ and $E$ be a foot of the altitudes from $T$ onto $AB$ and $AC$ and let $M$ be the midpoint of $BC$. Prove:
A) Prove that $M$ is the orthocenter of the triangle $ADE$.
B) Prove that $TM$ cuts $DE$ in half.
8 replies
Motion
May 21, 2022
AylyGayypow009
an hour ago
A sharp one with 3 var
mihaig   2
N an hour ago by mihaig
Source: Own
Let $a,b,c\geq0$ satisfying
$$\left(a+b+c-2\right)^2+8\leq3\left(ab+bc+ca\right).$$Prove
$$ab+bc+ca+abc\geq4.$$
2 replies
mihaig
Tuesday at 7:20 PM
mihaig
an hour ago
IMO Shortlist 2014 N1
hajimbrak   46
N an hour ago by cursed_tangent1434
Let $n \ge 2$ be an integer, and let $A_n$ be the set \[A_n = \{2^n  - 2^k\mid k \in \mathbb{Z},\, 0 \le k < n\}.\] Determine the largest positive integer that cannot be written as the sum of one or more (not necessarily distinct) elements of $A_n$ .

Proposed by Serbia
46 replies
hajimbrak
Jul 11, 2015
cursed_tangent1434
an hour ago
Find all p(x) such that p(p) is a power of 2
truongphatt2668   2
N an hour ago by truongphatt2668
Source: ???
Find all polynomial $P(x) \in \mathbb{R}[x]$ such that:
$$P(p_i) = 2^{a_i}$$with $p_i$ is an $i$ th prime and $a_i$ is an arbitrary positive integer.
2 replies
truongphatt2668
3 hours ago
truongphatt2668
an hour ago
Interesting inequalities
sqing   0
an hour ago
Source: Own
Let $a,b,c \geq 0 $ and $ abc+2(ab+bc+ca) =32.$ Show that
$$ka+b+c\geq 8\sqrt k-2k$$Where $0<k\leq 4. $
$$ka+b+c\geq 8 $$Where $ k\geq 4. $
$$a+b+c\geq 6$$$$2a+b+c\geq 8\sqrt 2-4$$
0 replies
sqing
an hour ago
0 replies
x+yz+zx=n where n is a postive integer
Jackson0423   0
an hour ago
Source: Own
Let \( f(n) \) denote the number of ordered triples of positive integers \( (x, y, z) \) satisfying
\[
x + yz + zx = n.
\]
(1) Find \( f(10) \) and \( f(2025) \).
(2) Let \( d(n) \) denote the number of positive divisors of \( n \). Express \( f(n) \) in terms of \( d(n) \).
0 replies
Jackson0423
an hour ago
0 replies
Chat in video classroom
rock-star   0
Apr 22, 2025
asking for a friend who is designing their own video classroom....

think back to when you had online classes with video (like on zoom and stuff):
do you like the chat feature that they have?
what did you use the chat for?
what would you do instead if there wasn't a chat?
what other thoughts do you have about having chat in a video classroom?

0 replies
rock-star
Apr 22, 2025
0 replies
Chat in video classroom
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rock-star
2 posts
#1
Y by
asking for a friend who is designing their own video classroom....

think back to when you had online classes with video (like on zoom and stuff):
do you like the chat feature that they have?
what did you use the chat for?
what would you do instead if there wasn't a chat?
what other thoughts do you have about having chat in a video classroom?
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