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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
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Introducing myself at AoPS, and what's your magic wand?
asuth_asuth   1166
N 2 hours ago by Craftybutterfly
Hi!

I'm Andrew Sutherland. I'm the new Chief Product Officer at AoPS. As you may have read, Richard is retiring and Ben Kornell and I are working together to lead the company now. I'm leading all the software and digital stuff at AoPS. I just wanted to say hello and introduce myself! I'm really excited to be part of the special community that is AoPS.

Previously, I founded Quizlet as a 15-year-old high school student. I did Course 6 at MIT and then left to lead Quizlet full-time for a total of 14 years. I took a few years off and now I'm doing AoPS! I wrote more about all that on my blog: https://asuth.com/im-joining-aops

I have a question for all of you. If you could wave a magic wand, and change anything about AoPS, what would it be? All suggestions welcome! Thank you.
1166 replies
asuth_asuth
Mar 30, 2025
Craftybutterfly
2 hours ago
J
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lines intersecting motions of an ellipse
FFA21   0
Yesterday at 8:33 PM
Source: OSSM Comp'25 P5 (HSE IMC qualification)
Let $E$ be an infinite set of translated copies (i.e., obtained by parallel translation) of a given ellipse $e$ in the plane, and let $r$ be a fixed straight line. It is known that every straight line parallel to $r$ intersects at least one ellipse from $E$. Prove that there exist infinitely many triples of ellipses from $E$ such that there exists a straight line intersecting all three ellipses in the triple.
0 replies
FFA21
Yesterday at 8:33 PM
0 replies
J
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fibonacci number theory
FFA21   0
Yesterday at 8:21 PM
Source: OSSM Comp'25 P3 (HSE IMC qualification)
$F_n$ fibonacci numbers ($F_1=1, F_2=1$) find all n such that:
$\forall i\in Z$ and $0\leq i\leq F_n$
$C^i_{F_n}\equiv (-1)^i\pmod{F_n+1}$
0 replies
FFA21
Yesterday at 8:21 PM
0 replies
J
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strong polinom
FFA21   0
Yesterday at 8:13 PM
Source: OSSM Comp'25 P2 (HSE IMC qualification)
A polynomial will be called 'strong' if it can be represented as a product of two non-constant polynomials with real non-negative coefficients.
Prove that:
$\exists n$ that $p(x^n)$ 'strong' and $deg(p)>1$ $\implies$ $p(x)$ 'strong'
0 replies
FFA21
Yesterday at 8:13 PM
0 replies
J
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integrals
FFA21   0
Yesterday at 8:05 PM
Source: OSSM Comp'25 P1 (HSE IMC qualification)
Find all continuous functions $f:[1,8]\to R$ that:
$\int_1^2f(t^3)^2dt+2\int_1^2sin(t)f(t^3)dt=\frac{2}{3}\int_1^8f(t)dt-\int_1^2(t^2-sin(t))^2dt$
0 replies
FFA21
Yesterday at 8:05 PM
0 replies
J
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Mathematical expectation 1
Tricky123   4
N Yesterday at 7:47 PM by solyaris
X is continuous random variable having spectrum
$(-\infty,\infty) $ and the distribution function is $F(x)$ then
$E(X)=\int_{0}^{\infty}(1-F(x)-F(-x))dx$ and find the expression of $V(x)$

Ans:- $V(x)=\int_{0}^{\infty}(2x(1-F(x)+F(-x))dx-m^{2}$

How to solve help me
4 replies
Tricky123
May 11, 2025
solyaris
Yesterday at 7:47 PM
J
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B.Math 2008-Integration .
mynamearzo   14
N Yesterday at 4:02 PM by Levieee
Source: 10+2
Let $f:\mathbb{R} \to \mathbb{R}$ be a continuous function . Suppose
\[f(x)=\frac{1}{t} \int^t_0 (f(x+y)-f(y))\,dy\]
$\forall x\in \mathbb{R}$ and all $t>0$ . Then show that there exists a constant $c$ such that $f(x)=cx\ \forall x$
14 replies
mynamearzo
Apr 16, 2012
Levieee
Yesterday at 4:02 PM
J
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uniformly continuous of multivariable function
keroro902   1
N Yesterday at 1:42 PM by Mathzeus1024
How can I determine which of the following functions are uniformly continuous on the given domain A?

$f \left( x, y \right) = \frac{x^3 + y^2}{x^2 + y}$ , $A = \left\{ \left( x, y \right) \in \mathbb m{R}^2 \left| \right. \left| y \right| \leq \frac{x^2}{2} %Error. "nocomma" is a bad command. , x^2 + y^2 < 1 \right\}$

$g \left( x, y \right) = \frac{y^2 + 4 x^2}{y^2 - 4 x^2 - 1}$, $A = \left\{ \left( x, y \right) \in \mathbb m{R}^2 \left| 0 \leq x^2 - y^2 \leqslant 1 \right\} \right.$
1 reply
keroro902
Nov 2, 2012
Mathzeus1024
Yesterday at 1:42 PM
J
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Investigating functions
mikejoe   1
N Yesterday at 1:08 PM by Mathzeus1024
Source: Edwards and Penney
Investigate the function $f(x) = (x-2) \sqrt{x+1}$
Also determine its domain and range.
1 reply
mikejoe
Nov 2, 2012
Mathzeus1024
Yesterday at 1:08 PM
J
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functional equation
pratyush   2
N Yesterday at 12:41 PM by Mathzeus1024
For the functional equation $f(x-y)=\frac{f(x)}{f(y)}$, if f ' (0)=p and f ' (5)=q, then prove f ' (-5) = q
2 replies
pratyush
Apr 4, 2014
Mathzeus1024
Yesterday at 12:41 PM
J
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ISI UGB 2025 P1
SomeonecoolLovesMaths   7
N Yesterday at 12:28 PM by SatisfiedMagma
Source: ISI UGB 2025 P1
Suppose $f \colon \mathbb{R} \longrightarrow \mathbb{R}$ is differentiable and $| f'(x)| < \frac{1}{2}$ for all $x \in \mathbb{R}$. Show that for some $x_0 \in \mathbb{R}$, $f \left( x_0 \right) = x_0$.
7 replies
SomeonecoolLovesMaths
May 11, 2025
SatisfiedMagma
Yesterday at 12:28 PM
J
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k Glitch or Bug?
awesometriangles   5
N Yesterday at 4:18 AM by Craftybutterfly
I was asking for some $\LaTeX$ help in one of my classrooms, and one of the Halpers posted. Is this a glitch or a bug(see screenshot)?


It seems as though I can edit their post...
5 replies
awesometriangles
Yesterday at 1:08 AM
Craftybutterfly
Yesterday at 4:18 AM
J
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k Deleting collections
Sadigly   1
N May 12, 2025 by jlacosta
How to delete some collections? I accidently created 2 same collections, and one of them is useless
1 reply
Sadigly
May 11, 2025
jlacosta
May 12, 2025
J
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k Alcumus Reset
greenplanet2050   7
N May 12, 2025 by jlacosta
I want to reset my Alcumus but it says "You cannot reset your Alcumus data while you are in current AoPS classes."

But I don't have any ongoing AoPs classes and my last class Precalculus already ended.
7 replies
greenplanet2050
May 10, 2025
jlacosta
May 12, 2025
J
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J
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k Can't login to AoPS Classroom Intermediate Number Theory (3785)
bobbyboss   8
N May 29, 2024 by jlacosta
Just shows the gray screen on the classroom, doesn't show anyone is connected.

Happening right now, tried signing out then back in, doesn't work.
8 replies
bobbyboss
May 28, 2024
jlacosta
May 29, 2024
J
Can't login to AoPS Classroom Intermediate Number Theory (3785)
G H J
Reveal topic tags
AIME
AIME I
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G H BBookmark kLocked kLocked NReply
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bobbyboss
418 posts
bobbyboss
#1 h  May 28, 2024, 11:28 PM
Y by
Just shows the gray screen on the classroom, doesn't show anyone is connected.

Happening right now, tried signing out then back in, doesn't work.
Z Y
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tzliu
163 posts
tzliu
#2 h  May 28, 2024, 11:31 PM
Y by
same here
Z Y
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tzliu
163 posts
tzliu
#3 h  May 28, 2024, 11:32 PM
Y by
I tried restarting my computer but still cannot connect to the classroom
Z Y
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mathinside
10 posts
mathinside
#4 h  May 28, 2024, 11:34 PM
Y by
bobbyboss wrote:
Just shows the gray screen on the classroom, doesn't show anyone is connected.

Happening right now, tried signing out then back in, doesn't work.

Same here
Z Y
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mathinside
10 posts
mathinside
#5 h  May 28, 2024, 11:34 PM
Y by
I cannot log in either
Z Y
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tzliu
163 posts
tzliu
#6 h  May 28, 2024, 11:35 PM
Y by
ok just refresh now its fixed
Z Y
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eeveesun
965 posts
eeveesun
#7 h  May 28, 2024, 11:36 PM
Y by
how? $ $
Z Y
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dbnl
3377 posts
dbnl
#8 h  May 29, 2024, 12:53 PM
Y by
they're probably all part of the same classroom and cant get in
Z Y
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jlacosta
648 posts
jlacosta
#9 h  May 29, 2024, 10:19 PM
Y by
Thanks for reporting! Our Engineering team was aware of this issue and they were able to resolve it.
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