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k a April Highlights and 2025 AoPS Online Class Information

jlacosta 0

Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

Looking for summer camps in math and language arts? Be sure to check out the video-based summer camps offered at the Virtual Campus that are 2- to 4-weeks in duration. 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 events:
[list][*]April 3rd (Webinar), 4pm PT/7:00pm ET, Learning with AoPS: Perspectives from a Parent, Math Camp Instructor, and University Professor
[*]April 8th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS State Discussion
April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/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.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

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0 replies

jlacosta

Apr 2, 2025

0 replies

Multiplicative polynomial exactly 2025 times

Assassino9931 0

Source: Bulgaria Balkan MO TST 2025

Does there exist a polynomial $P$ on one variables with real coefficients such that the equation $P(xy) = P(x)P(y)$ has exactly $2025$ ordered pairs $(x,y)$ as solutions?

0 replies

Assassino9931

2 minutes ago

0 replies

Holy inequality

giangtruong13 2

Source: Club

Let $a,b,c>0$ . Prove that: $\frac{8}{\sqrt{a^2+b^2+c^2+1}} - \frac{9}{(a+b)\sqrt{(a+2c)(b+2c)}} \leq \frac{5}{2}$

2 replies

giangtruong13

Today at 4:09 PM

arqady

10 minutes ago

Inequality with Unhomogenized Condition

Mathdreams 1

Source: 2025 Nepal Mock TST Day 3 Problem 3

Let $x, y, z$ be positive reals such that $xy + yz + xz + xyz = 4$ . Prove that $3(2 - xyz) \ge \frac{2}{xy+1} + \frac{2}{yz+1} + \frac{2}{xz + 1}.$ (Shining Sun, USA)

1 reply

+1 w

Mathdreams

2 hours ago

arqady

31 minutes ago

Orthocenter config once again

Assassino9931 5

Source: Bulgaria National Olympiad 2025, Day 2, Problem 4

Let $ABC$ be an acute triangle with $AB < AC$ , midpoint $M$ of side $BC$ , altitude $AD$ ( $D \in BC$ ), and orthocenter $H$ . A circle passes through points $B$ and $D$ , is tangent to line $AB$ , and intersects the circumcircle of triangle $ABC$ at a second point $Q$ . The circumcircle of triangle $QDH$ intersects line $BC$ at a second point $P$ . Prove that the lines $MH$ and $AP$ are perpendicular.

5 replies

Assassino9931

Yesterday at 1:53 PM

Assassino9931

39 minutes ago

College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

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College Math Topics in undergraduate and graduate studies

Topics in undergraduate and graduate studies

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114,087 topics

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k a April Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

Apr 2, 2025

0 replies

Integral inequality with differentiable function

Ciobi_ 3

Source: Romania NMO 2025 12.2

Let $f \colon [0,1] \to \mathbb{R}$ be a differentiable function such that its derivative is an integrable function on $[0,1]$ , and $f(1)=0$ . Prove that $\int_0^1 (xf'(x))^2 dx \geq 12 \cdot \left( \int_0^1 xf(x) dx\right)^2$

3 replies

2 viewing

Ciobi_

Apr 2, 2025

Levieee

39 minutes ago

Romania NMO 2023 Grade 11 P1

DanDumitrescu 9

Source: Romania National Olympiad 2023

Determine twice differentiable functions $f: \mathbb{R} \rightarrow \mathbb{R}$ which verify relation

$\left( f'(x) \right)^2 + f''(x) \leq 0, \forall x \in \mathbb{R}.$

9 replies

DanDumitrescu

Apr 14, 2023

Fibonacci_math

an hour ago

Putnam 2005 B3

Kent Merryfield 20

Find all differentiable functions $f: (0,\infty)\mapsto (0,\infty)$ for which there is a positive real number $a$ such that
$f'\left(\frac ax\right)=\frac x{f(x)}$
for all $x>0.$

20 replies

Kent Merryfield

Dec 5, 2005

Levieee

an hour ago

Putnam 2020 A3

awesomemathlete 16

Source: 81st William Lowell Putnam Competition

Let $a_0=\pi /2$ , and let $a_n=\sin (a_{n-1})$ for $n\ge 1$ . Determine whether
$\sum_{n=1}^{\infty}a_n^2$ converges.

16 replies

awesomemathlete

Feb 22, 2021

programjames1

2 hours ago

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Problem of the Day 1995 Czech and Slovak Match

1995 Czech and Slovak Match

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Problem of the Day 1995 Czech and Slovak Match

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Find all triples $(x; y; p)$ of two non-negative integers $x, y$ and a prime number p such that $p^x-y^p=1$

thang1308

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Contest of the Week 1986 Brazil National Olympiad

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1986 Brazil National Olympiad

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A ball moves endlessly on a circular billiard table. When it hits the edge it is reflected. Show that if it passes through a point on the table three times, then it passes through it infinitely many times.

parmenides51

view topic

Find the number of ways that a positive integer $n$ can be represented as a sum of one or more consecutive positive integers.

parmenides51

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The Poincare plane is a half-plane bounded by a line $R$ . The lines are taken to be
(1) the half-lines perpendicular to $R$ , and
(2) the semicircles with center on $R$ .
Show that given any line $L$ and any point $P$ not on $L$ , there are infinitely many lines through $P$ which do not intersect $L$ . Show that if $ABC$ is a triangle, then the sum of its angles lies in the interval $(0, \pi)$ .

parmenides51

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Find all $10$ digit numbers $a_0a_1...a_9$ such that for each $k, a_k$ is the number of times that the digit $k$ appears in the number.

parmenides51

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k a April Highlights and 2025 AoPS Online Class Information

jlacosta 0

0 replies

jlacosta

Apr 2, 2025

0 replies

Introducing myself at AoPS, and what's your magic wand?

asuth_asuth 683

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.

683 replies

asuth_asuth

Mar 30, 2025

sadas123

20 minutes ago

k Can't search in PMs

ChaitraliKA 16

Summary of the problem: searching literally anything doesn't give any results
Page URL: https://artofproblemsolving.com/community/search-private
Steps to reproduce:
1. Search literally anything!!! Any key words that you know are obviously present in your PMs. It does not give any search results.
Expected behavior: it should give search results similar to searching in forums
Frequency: every time
Browser(s), including version: chrome
Additional information: I tried on multiple devices

16 replies

ChaitraliKA

Apr 2, 2025

jlacosta

2 hours ago

k "Formatting Tips" in wrong place?

SlyOwl45 3

Summary of the problem:
The formatting tips button on class homework problems has moved.
Page URL:
any class homework page
Steps to reproduce:
1. Got to class homework page.
2. find a problem with formatting tips
3. see that the button is now above input space.
Expected behavior:
the button is to the right of submit button
Frequency:
100%
Operating system(s):
windows 11
Browser(s), including version:
Firefox, idk?
Additional information:
in screenshots
Mods/admins, this probably isn't a very big problem, so feel free to lock if you want. :yup:

3 replies

SlyOwl45

Apr 5, 2025

jlacosta

2 hours ago

Search results do not show up

Craftybutterfly 15

Summary: If you use advanced search, the search says "No topics here!"
Steps to reproduce:
1. Use advanced search
2. there will be no topics when you finish
Frequency: 100%
Operating system(s): HP elitebook
Browser: Chrome latest version

15 replies

Craftybutterfly

Apr 4, 2025

jlacosta

4 hours ago

AoPS Forums Forums for AoPS books, courses, and other resources.

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versus
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2025 Abelkonkurransen Finale
Norwegian MO 2025

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AIME 2025

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2025 Belarusian National Olympiad
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2025 Bulgarian Spring Mathematical Competition
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2025 Bulgarian Winter Tournament
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2025 Bundeswettbewerb Mathematik
Bundeswettbewerb Mathematik 2025

2025 Canada Junior National Olympiad
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Canada National Olympiad 2025

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X Caucasus Mathematical Olympiad

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An Olympiad for grades 7-12.

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Japan MO Finals 2025

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VMO 2025

2025 Vietnam Team Selection Test
Vietnam Team Selection Test for 2025 IMO

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