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Site Support Tech support and questions about AoPS classes and materials
Tech support and questions about AoPS classes and materials
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k a July Highlights and 2025 AoPS Online Class Information
jwelsh   0
Jul 1, 2025
We are halfway through summer, so be sure to carve out some time to keep your skills sharp and explore challenging topics at AoPS Online and our AoPS Academies (including the Virtual Campus)!

[list][*]Over 60 summer classes are starting at the Virtual Campus on July 7th - check out the math and language arts options for middle through high school levels.
[*]At AoPS Online, we have accelerated sections where you can complete a course in half the time by meeting twice/week instead of once/week, starting on July 8th:
[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC Problem Series[/list]
[*]Plus, AoPS Online has a special seminar July 14 - 17 that is outside the standard fare: Paradoxes and Infinity
[*]We are expanding our in-person AoPS Academy locations - are you looking for a strong community of problem solvers, exemplary instruction, and math and language arts options? Look to see if we have a location near you and enroll in summer camps or academic year classes today! New locations include campuses in California, Georgia, New York, Illinois, and Oregon and more coming soon![/list]

MOP (Math Olympiad Summer Program) just ended and the IMO (International Mathematical Olympiad) is right around the corner! This year’s IMO will be held in Australia, July 10th - 20th. Congratulations to all the MOP students for reaching this incredible level and best of luck to all selected to represent their countries at this year’s IMO! Did you know that, in the last 10 years, 59 USA International Math Olympiad team members have medaled and have taken over 360 AoPS Online courses. Take advantage of our Worldwide Online Olympiad Training (WOOT) courses
and train with the best! Please note that early bird pricing ends August 19th!
Are you tired of the heat and thinking about Fall? You can plan your Fall schedule now with classes at either AoPS Online, AoPS Academy Virtual Campus, or one of our AoPS Academies around the US.

Our full course list for upcoming classes is below:
All classes start 7:30pm ET/4:30pm PT unless otherwise noted.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

Prealgebra 1
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Prealgebra 2 Self-Paced

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Introduction to Algebra A Self-Paced

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Introduction to Algebra B Self-Paced

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Intermediate: Grades 8-12

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0 replies
jwelsh
Jul 1, 2025
0 replies
AOPS website lag
henryli3333   6
N 4 hours ago by SwordAxe
I dont know if this is just me but the AOPS website seems to be lagging a lot, sometimes it takes 30 seconds to a minute for a page to load, my friend is having the same issue, does anyone know what's going on?
6 replies
henryli3333
Yesterday at 3:32 PM
SwordAxe
4 hours ago
3n x 3n Matrix modulo 3
Didier2   1
N Yesterday at 4:05 PM by Litvinov
Given a $3n \times 3n$ matrix $M$ with entries in $\mathbb{Z}_3$ . The difference of any two columns of $M$ is always a column that consists of $n$ zeros, $n$ ones and $n$ twos. Prove that this also holds for the rows of $M$.
1 reply
Didier2
Yesterday at 8:36 AM
Litvinov
Yesterday at 4:05 PM
mathematics
soldier2407   1
N Yesterday at 9:56 AM by Mathzeus1024
\[\begin{array}{l}
at\,what\,po{\mathop{\rm int}} \,do\,the\,following\,functions\,have\,no\,derivatives?\\
(1)f(x) = \left| {{\mathop{\rm s}\nolimits} {\rm{inx}}} \right|\\
(2)g(x) = \sqrt[3]{{{x^2}}}\\
(3)h(x) = \sqrt {{\mathop{\rm s}\nolimits} {\rm{in}}{{\rm{x}}^2}} \\
(4)k(x) = \ln (1 - \left| {{\mathop{\rm cosx}\nolimits} } \right|)
\end{array}\]
1 reply
soldier2407
Dec 5, 2021
Mathzeus1024
Yesterday at 9:56 AM
Putnam 2017 B3
goveganddomath   38
N Yesterday at 9:46 AM by SomeonecoolLovesMaths
Source: Putnam
Suppose that $$f(x) = \sum_{i=0}^\infty c_ix^i$$is a power series for which each coefficient $c_i$ is $0$ or $1$. Show that if $f(2/3) = 3/2$, then $f(1/2)$ must be irrational.
38 replies
goveganddomath
Dec 3, 2017
SomeonecoolLovesMaths
Yesterday at 9:46 AM
ISI UGB 2025 P3
SomeonecoolLovesMaths   15
N Yesterday at 7:53 AM by SHUBH2007_OG
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 $x$.
15 replies
SomeonecoolLovesMaths
May 11, 2025
SHUBH2007_OG
Yesterday at 7:53 AM
UM Integral Bee 2025 Preliminary Round
smartvong   4
N Yesterday at 6:38 AM by Aiden-1089
Source: University Malaya Integral Bee
Contest format:
- 3-hour written test.
- Credit given for showing working steps.
- Non-programmable calculators allowed.

1. $\int^1_0 \frac{\ln(1+x)}{1+x^2} \,dx$
2. $\int^{\infty}_{-\infty}e^{-x^2}e^{-\frac{1}{x^2}} \,dx$
3. $\int^2_0 x\sqrt{x^{\ln x}\sqrt[3]{x^{\ln^2x}\sqrt[4]{x^{\ln^3x}\cdots}}}\,dx$
4. $\int^{\infty}_{-\infty}\mathrm{sech}\left(2x - \frac{1}{2x - 1}\right)\,dx$
5. $\int^{\infty}_0 \frac{x^2}{\lfloor x\rfloor !}\,dx$
6. $\int^{\frac{\pi}{2}}_0 \frac{1}{\sqrt{\cos x (1 + \sin x)}}\,dx$
7. $\lim_{n \to \infty}\int^{\infty}_{-\infty}2n\sin(x^{2n})\,dx$
8. $\int^{\infty}_{-\infty} \frac{x^2}{x^4 + x^3 - x^2 - x + 1}\,dx$
9. Given that $\alpha_0 \in \mathbb{R}$, evaluate $$\lim_{n \to \infty}\left(\int^{\alpha_0}_0\int^{\alpha_1}_0\int^{\alpha_2}_0\cdots\int^{\alpha_{n-1}}_0\int^{\alpha_n}_0e^x\,dx\,d\alpha_n\,d\alpha_{n-1}\cdots\,d\alpha_2\,d\alpha_1\right)$$10. $\lim_{x \to 0^+} \int \frac{2x}{\sqrt{1 - x^4}\arcsin^2(x)} - \frac{2\arcsin(x^2)}{\sqrt{1-x^2}\arcsin^3(x)}\,dx$
11. $\int^4_1 \left(1 - \frac{1}{x^2}\right)e^{\sqrt{x} + \frac{1}{\sqrt{x}}}\,dx$
12. $\int^{\frac{3}{4}}_{\frac{1}{4}} f(f(x))\,dx; \quad f(x) = \frac{4^x}{2 + 4^x}$
13. $\int^1_0\arcsin\left(\sqrt{\frac{2}{\pi}\arcsin\left(\sqrt{x}\right)}\right)\,dx$
14. $\int^e_1 x^{(x + x^x)} \left(\frac{1}{x} + \ln(x) + \ln^2(x)\right)\,dx$
15. $\int \frac{x^3 - 21x^2 - 63x - 189}{x^4 - 81}\,dx$
16. $\int^{\pi/2}_0 \frac{\frac{\sin(x) + 1}{\cos(x) + 2}}{\frac{\sin(x) - 3}{\cos(x) - 4}}\,dx$
17. $\sum^{2025}_{n = 0}\int^1_0\frac{1}{2(x + n + 1)\sqrt{(x + n)(x + n + 1)}}\,dx$
18. $\int^1_0 \frac{1}{\left\lfloor\frac{1}{x}\right\rfloor} \,dx$
19. $\int^1_0 (1-x^{25})^{1/20} - (1-x^{20})^{1/25} \,dx$
20. $\int \prod^{n - 1}_{k = 1}\sqrt{2x^2 - 2x^2\cos\left(\frac{2\pi k}{n}\right)}\,dx$
4 replies
smartvong
Jun 22, 2025
Aiden-1089
Yesterday at 6:38 AM
Area between curves
pie854   5
N Yesterday at 5:51 AM by pie854
Compute the area of the region between the graphs $y^2=x$, $y=x-2$ from $x=0$ to $x=4$.
5 replies
pie854
Thursday at 5:17 PM
pie854
Yesterday at 5:51 AM
2024 Putnam A1
KevinYang2.71   24
N Thursday at 9:09 PM by BlayzyMath
Determine all positive integers $n$ for which there exists positive integers $a$, $b$, and $c$ satisfying
\[
2a^n+3b^n=4c^n.
\]
24 replies
KevinYang2.71
Dec 10, 2024
BlayzyMath
Thursday at 9:09 PM
Have fun
centslordm   10
N Thursday at 5:02 PM by pie854
Source: Instagram
Compute \[\prod^\infty_{k=2} \sqrt[2^k]{1 - \frac 1k - \frac 1{k^2} + \frac1{k^3}}.\]
10 replies
centslordm
Thursday at 5:40 AM
pie854
Thursday at 5:02 PM
On coefficients of a polynomial over a finite field
Ciobi_   1
N Jul 10, 2025 by AndreiVila
Source: Romania NMO 2025 12.4
Let $p$ be an odd prime number, and $k$ be an odd number not divisible by $p$. Consider a field $K$ be a field with $kp+1$ elements, and $A = \{x_1,x_2, \dots, x_t\}$ be the set of elements of $K^*$, whose order is not $k$ in the multiplicative group $(K^*,\cdot)$. Prove that the polynomial $P(X)=(X+x_1)(X+x_2)\dots(X+x_t)$ has at least $p$ coefficients equal to $1$.
1 reply
Ciobi_
Apr 2, 2025
AndreiVila
Jul 10, 2025
Collatz Conjecture
Cpw945   7
N Jul 9, 2025 by maromex
Source: "Collatz Conjecture Confirmed Through Connectivity of Odd and 8mod12 Positive Integers" on viXra
Hello everyone! I am a college student who has created a potential proof for the Collatz Conjecture, which I have posted on Vixra, under the title “Collatz Conjecture Confirmed by Connectivity of Odds and 8mod12 Positive Integers”. It is in Section 2507, under the name Chloe Williams. Feel free to check it out and tell me if my solution idea would work. The link for my paper is down below.

https://vixra.org/abs/2507.0020
7 replies
Cpw945
Jul 8, 2025
maromex
Jul 9, 2025
k advertisment
garfield0515   6
N Jul 9, 2025 by garfield0515
I got a pm saying that one of my previous posts about advertising was removed and I just learned that it was not allowed, and there may be further reports and it would be great if you could excuse those since I just learned that.
please send me a pm or something
garfield0515
6 replies
garfield0515
Jul 8, 2025
garfield0515
Jul 9, 2025
Processing module python not working
Demetri   11
N Jul 8, 2025 by PikaPika999
The following code doesn't work, because canvas isn't implemented for the processing module:
import processing
def setup():
    processing.size(200, 200)
def draw():
    processing.ellipse(100, 100, 50, 50)
    processing.noLoop()
processing.run()

I believe this is an easy fix, someone just forgot to add the line "Sk.canvas = outcanvas;"(or something similar) in the code for the pywindow, which would give an output.
11 replies
Demetri
Jul 1, 2025
PikaPika999
Jul 8, 2025
k Cannot post PHP
char0221   7
N Jul 8, 2025 by huolongguo10
Summary of the problem: If I try to post anything with PHP (a coding language), it
Page URL: In any forum or private messages
Steps to reproduce:
1. Create a post.
2. Put some PHP inside, can't give example
Expected behavior: Should post the message
Frequency: 100%
Operating system(s): macOS Sequoia 15.2.1
Browser(s), including version: Safari
Additional information: See attachments
7 replies
char0221
Apr 30, 2025
huolongguo10
Jul 8, 2025
k wrong video order
Davin0913   1
N Jun 6, 2025 by jlacosta
In algebra chapter 19 videos Graphing exponents part 2 is before graphing exponentials part 1 as you can see here https://artofproblemsolving.com/videos/algebra1/chapter19/589 please fix this asap site support.
1 reply
Davin0913
Jun 6, 2025
jlacosta
Jun 6, 2025
wrong video order
G H J
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Davin0913
3 posts
#1 • 1 Y
Y by Demetri
In algebra chapter 19 videos Graphing exponents part 2 is before graphing exponentials part 1 as you can see here https://artofproblemsolving.com/videos/algebra1/chapter19/589 please fix this asap site support.
Z Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
jlacosta
671 posts
#2
Y by
Thanks, Davin0913! I'll let the appropriate team know about this. I appreciate you bringing this to our attention.
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