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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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Japanese Olympiad
parkjungmin   4
N an hour ago by parkjungmin
It's about the Japanese Olympiad

I can't solve it no matter how much I think about it.

If there are people who are good at math

Please help me.
4 replies
parkjungmin
Saturday at 6:51 PM
parkjungmin
an hour ago
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ISI UGB 2025 P3
SomeonecoolLovesMaths   11
N 2 hours ago by Levieee
Source: ISI UGB 2025 P3
Suppose $f : [0,1] \longrightarrow \mathbb{R}$ is differentiable with $f(0) = 0$. If $|f'(x) | \leq f(x)$ for all $x \in [0,1]$, then show that $f(x) = 0$ for all $x$.
11 replies
SomeonecoolLovesMaths
Yesterday at 11:32 AM
Levieee
2 hours ago
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D1020 : Special functional equation
Dattier   4
N 2 hours ago by Dattier
Source: les dattes à Dattier
1) Are there any $(f,g) \in C(\mathbb R,\mathbb R_+)$ increasing with
$$\forall x \in \mathbb R, f(x)(\cos(x)+3/2)+g(x)(\sin(x)+3/2)=\exp(x)$$?

2) Are there any $(f,g) \in C(\mathbb R,\mathbb R_+)$ increasing with
$$\forall x \in \mathbb R, f(x)(\cos(x)+3/2)+g(x)(\sin(x)+3/2)=\exp(x/2)$$?
4 replies
1 viewing
Dattier
Apr 24, 2025
Dattier
2 hours ago
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UC Berkeley Integration Bee 2025 Bracket Rounds
Silver08   24
N 3 hours ago by quasar_lord
Regular Round

Quarterfinals

Semifinals

3rd Place Match

Finals
24 replies
Silver08
May 9, 2025
quasar_lord
3 hours ago
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Function equation
hoangdinhnhatlqdqt   2
N 3 hours ago by jasperE3
Find all functions $f:\mathbb{R}\geq 0\rightarrow \mathbb{R}\geq 0$ satisfying:
$f(f(x)-x)=2x\forall x\geq 0$
2 replies
hoangdinhnhatlqdqt
Dec 17, 2017
jasperE3
3 hours ago
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Compilation of functions problems
Saucepan_man02   4
N 4 hours ago by lightsbug
Could anyone post some handout/compilation of problems related to functions (difficulty similar to AIME/ARML/HMMT etc)?

Thanks..
4 replies
Saucepan_man02
May 7, 2025
lightsbug
4 hours ago
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How many nonnegative integers
Darealzolt   1
N 5 hours ago by elizhang101412
How many nonnegative integers can be written in the form
\[ a_7 \cdot 3^7 + a_6 \cdot 3^6 + a_5 \cdot 3^5 + a_4 \cdot 3^4 + a_3 \cdot 3^3 + a_2 \cdot 3^2 + a_1 \cdot 3^1 + a_0 \cdot 3^0 \]where \( a_i \in \{-1, 0, 1\} \) for \( 0 \le i \le 7 \)?
1 reply
Darealzolt
5 hours ago
elizhang101412
5 hours ago
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How much sides does M and N have
Darealzolt   0
5 hours ago
Two regular polygons have \( m \) sides and \( n \) sides, respectively. The total number of sides is 33, and the total number of diagonals is 243. What are the values of \( m \) and \( n \)?
0 replies
Darealzolt
5 hours ago
0 replies
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PIE practice
Serengeti22   0
Today at 3:20 AM
Does anybody know any good problems to practice PIE that range from mid-AMC10/12 level - early AIME level for pracitce.
0 replies
Serengeti22
Today at 3:20 AM
0 replies
J
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Square number
linkxink0603   5
N Today at 1:44 AM by linkxink0603
Find m is positive interger such that m^4+3^m is square number
5 replies
linkxink0603
May 9, 2025
linkxink0603
Today at 1:44 AM
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Functions
Entrepreneur   5
N Today at 12:33 AM by RandomMathGuy500
Let $f(x)$ be a polynomial with integer coefficients such that $f(0)=2020$ and $f(a)=2021$ for some integer $a$. Prove that there exists no integer $b$ such that $f(b) = 2022$.
5 replies
Entrepreneur
Aug 18, 2023
RandomMathGuy500
Today at 12:33 AM
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Logarithmic function
jonny   2
N Yesterday at 11:09 PM by KSH31415
If $\log_{6}(15) = a$ and $\log_{12}(18)=b,$ Then $\log_{25}(24)$ in terms of $a$ and $b$
2 replies
jonny
Jul 15, 2016
KSH31415
Yesterday at 11:09 PM
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book/resource recommendations
walterboro   0
Yesterday at 8:57 PM
hi guys, does anyone have book recs (or other resources) for like aime+ level alg, nt, geo, comb? i want to learn a lot of theory in depth
also does anyone know how otis or woot is like from experience?
0 replies
walterboro
Yesterday at 8:57 PM
0 replies
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Engineers Induction FTW
RP3.1415   11
N Yesterday at 6:53 PM by Markas
Define a sequence as $a_1=x$ for some real number $x$ and \[ a_n=na_{n-1}+(n-1)(n!(n-1)!-1) \]for integers $n \geq 2$. Given that $a_{2021} =(2021!+1)^2 +2020!$, and given that $x=\dfrac{p}{q}$, where $p$ and $q$ are positive integers whose greatest common divisor is $1$, compute $p+q.$
11 replies
RP3.1415
Apr 26, 2021
Markas
Yesterday at 6:53 PM
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Triple Sum
P162008   1
N Apr 28, 2025 by soryn
Source: From a friend
Evaluate $\Omega = \lim_{n \to \infty} \frac{1}{n^5} \sum_{i=1}^{n} \sum_{k=1}^{2n} \sum_{k=1}^{3n} \frac{i(jk + 6n^2 - 3jn - 2kn) - jkn + n^2(3j + 2k) - 6n^3}{\sqrt{i^2 + j^2 + k^2 - i(a - 2n) + j(b - 4n) + k(c - 6n) + c + 14n^2}}$
1 reply
P162008
Apr 26, 2025
soryn
Apr 28, 2025
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Triple Sum
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Reveal topic tags
calculus
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Source: From a friend
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P162008
187 posts
P162008
#1 h  Apr 26, 2025, 9:37 AM
Y by
Evaluate $\Omega = \lim_{n \to \infty} \frac{1}{n^5} \sum_{i=1}^{n} \sum_{k=1}^{2n} \sum_{k=1}^{3n} \frac{i(jk + 6n^2 - 3jn - 2kn) - jkn + n^2(3j + 2k) - 6n^3}{\sqrt{i^2 + j^2 + k^2 - i(a - 2n) + j(b - 4n) + k(c - 6n) + c + 14n^2}}$
This post has been edited 1 time. Last edited by P162008, Apr 26, 2025, 9:38 AM
Reason: Typo
Z K Y
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soryn
5342 posts
soryn
#2 h  Apr 28, 2025, 8:11 PM
Y by
Triple integral?
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