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k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

Mar 2, 2025

March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/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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Prealgebra 1 Self-Paced

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Introduction to Algebra A Self-Paced

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0 replies

jlacosta

Mar 2, 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

China Mathematical Olympiad 2019 Q1

sqing 25

N 12 minutes ago by imagien_bad

Source: Chengdu Nov 14, 2018

Let $a,b,c,d,e\geq -1$ and $a+b+c+d+e=5.$ Find the maximum and minimum value of $S=(a+b)(b+c)(c+d)(d+e)(e+a).$

25 replies

sqing

Nov 14, 2018

imagien_bad

12 minutes ago

Circumcenters, DAX = DAH

MellowMelon 44

N 13 minutes ago by cj13609517288

Source: USA TST 2009 #2

Let $ABC$ be an acute triangle. Point $D$ lies on side $BC$ . Let $O_B, O_C$ be the circumcenters of triangles $ABD$ and $ACD$ , respectively. Suppose that the points $B, C, O_B, O_C$ lies on a circle centered at $X$ . Let $H$ be the orthocenter of triangle $ABC$ . Prove that $\angle{DAX} = \angle{DAH}$ .

Zuming Feng.

44 replies

1 viewing

MellowMelon

Jul 18, 2009

cj13609517288

13 minutes ago

$n$ with $2000$ divisors divides $2^n+1$ (IMO 2000)

Valentin Vornicu 63

N 18 minutes ago by amapstob

Source: IMO 2000, Problem 5, IMO Shortlist 2000, Problem N3

Does there exist a positive integer $n$ such that $n$ has exactly 2000 prime divisors and $n$ divides $2^n + 1$ ?

63 replies

1 viewing

Valentin Vornicu

Oct 24, 2005

amapstob

18 minutes ago

NT equation

EthanWYX2009 2

N 25 minutes ago by DottedCaculator

Source: 2025 TST T11

Let $n \geq 4$ . Proof that
$(2^x - 1)(5^x - 1) = y^n$ have no positive integer solution $(x, y)$ .

2 replies

1 viewing

EthanWYX2009

Mar 10, 2025

DottedCaculator

25 minutes ago

Like ISL 2011 N7

v_Enhance 32

N 28 minutes ago by Zany9998

Source: ELMO 2009, Problem 6

Let $p$ be an odd prime and $x$ be an integer such that $p \mid x^3 - 1$ but $p \nmid x - 1$ . Prove that $p \mid (p - 1)!\left(x - \frac {x^2}{2} + \frac {x^3}{3} - \cdots - \frac {x^{p - 1}}{p - 1}\right).$ John Berman

32 replies

v_Enhance

Dec 31, 2012

Zany9998

28 minutes ago

integer functional equation

ABCDE 146

N 32 minutes ago by Ihatecombin

Source: 2015 IMO Shortlist A2

Determine all functions $f:\mathbb{Z}\rightarrow\mathbb{Z}$ with the property that $f(x-f(y))=f(f(x))-f(y)-1$ holds for all $x,y\in\mathbb{Z}$ .

146 replies

ABCDE

Jul 7, 2016

Ihatecombin

32 minutes ago

Weird inequality

qwedsazxc 11

N 33 minutes ago by kes0716

Source: 2023 KMO Final Round Day 2 Problem 6

For positive integer $n\geq 3$ and real numbers $a_1,...,a_n,b_1,...,b_n$ , prove the following.
$\sum_{i=1}^n a_i(b_i-b_{i+3})\leq\frac{3n}{8}\sum_{i=1}^n((a_i-a_{i+1})^2+(b_i-b_{i+1})^2)$ ( $a_{n+1}=a_1$ , and for $i=1,2,3$ $b_{n+i}=b_i$ .)

11 replies

qwedsazxc

Mar 26, 2023

kes0716

33 minutes ago

Balkan MO 2022/1 is reborn

Assassino9931 6

N an hour ago by Tony_stark0094

Source: Bulgaria EGMO TST 2023 Day 1, Problem 1

Let $ABC$ be a triangle with circumcircle $k$ . The tangents at $A$ and $C$ intersect at $T$ . The circumcircle of triangle $ABT$ intersects the line $CT$ at $X$ and $Y$ is the midpoint of $CX$ . Prove that the lines $AX$ and $BY$ intersect on $k$ .

6 replies

Assassino9931

Feb 7, 2023

Tony_stark0094

an hour ago

Inequality

hiro2023 5

N an hour ago by sqing

let a b c is a positive real number
proof that 1/[a(1+b)] + 1/[b(1+c)] + 1/[c(1+a)] >= 3/1+abc

5 replies

hiro2023

Today at 5:22 AM

sqing

an hour ago

number theory

MuradSafarli 4

N an hour ago by Filipjack

$\text{Find all prime numbers } p, q \text{ such that } p^2 \mid q^3 + 1 \text{ and } q^2 \mid p^3 + 1.$

4 replies

MuradSafarli

Today at 6:58 AM

Filipjack

an hour ago

ab+bc+ca = 1

Tales 119

N an hour ago by cj13609517288

Source: IMO ShortList 2004, algebra problem 5

If $a$ , $b$ , $c$ are three positive real numbers such that $ab+bc+ca = 1$ , prove that $\sqrt[3]{ \frac{1}{a} + 6b} + \sqrt[3]{\frac{1}{b} + 6c} + \sqrt[3]{\frac{1}{c} + 6a } \leq \frac{1}{abc}.$

119 replies

Tales

Mar 22, 2005

cj13609517288

an hour ago

\frac{1}{a}+\frac{1}{b} \geq 1 and \frac{1}{a}+\frac{1}{b}+\frac{1}{c} \geq 1

sqing 4

N an hour ago by sqing

Source: Own

Let $a,b>0$ and $(a^2-2a+2)(b^2-2b+2) \leq 4.$ Prove that
$\frac{1}{a}+\frac{1}{b} \geq 1$ Let $a,b>0$ and $(a^2-2a+b+2)(b^2-2b+a+2) \leq 16.$ Prove that
$\frac{1}{a}+\frac{1}{b} \geq 1$ Let $a,b,c>0$ and $(a-1)(b-1)(c-1)\leq 8.$ Prove that
$\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \geq 1$ Let $a,b,c>0$ and $(a^2-3a+4)(b^2-3b+4)(c^2-3c+4)\leq 64 .$ Prove that
$\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \geq 1$

4 replies

sqing

Mar 10, 2025

sqing

an hour ago

2 var inquality

sqing 3

N an hour ago by sqing

Source: Own

Let $a,b> 0$ and $ab=1 .$ Prove that
$\frac{a+2}{b+3}+\frac{b+2}{a+b+2} +\frac{a+b+1}{a+3} \ge \frac{9}{4}$ Let $a,b> 0$ and $a+b+ab=3 .$ Prove that
$\frac{a+2}{b+3}+\frac{b+2}{a+b+2} +\frac{a+b+1}{a+3} \ge \frac{9}{4}$ Let $a,b> 0$ and $a^2+b^2+a+b=4 .$ Prove that
$\frac{a+2}{b+3}+\frac{b+2}{a+b+2} +\frac{a+b+1}{a+3} \ge \frac{9}{4}$

3 replies

sqing

Today at 4:43 AM

sqing

an hour ago

Inspired by nhathhuyyp5c

sqing 0

an hour ago

Source: Own

Let $0<c\leq b\leq c\leq a$ and $\frac{2}{a}+\frac{2}{b}+\frac{1}{c}\geq 3$ . Prove that
$a^3+b^3+c^3\leq 17$ Let $0<c\leq b\leq c\leq a$ and $\frac{2}{a}+\frac{1}{b}+\frac{2}{c}\geq 3$ . Prove that
$a^3+b^3+c^3\leq\frac{496}{27}$ Let $0<c\leq b\leq c\leq a$ and $\frac{1}{a}+\frac{2}{b}+\frac{2}{c}\geq 3$ . Prove that
$a^3+b^3+c^3\leq\frac{496}{27}$

0 replies

sqing

an hour ago

0 replies

k a March Highlights and 2025 AoPS Online Class Information

jlacosta 0

Mar 2, 2025

March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:
[list][*]March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
[*]March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
[*]March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
[*]March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.[/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

Prealgebra 1
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Wednesday, Aug 6 - Oct 22

AMC 12 Final Fives
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F=ma Problem Series
Wednesday, Jun 11 - Aug 27

WOOT Programs
Visit the pages linked for full schedule details for each of these programs!

MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT

Programming

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Physics 1: Mechanics
Tuesday, Mar 25 - Sep 2
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

Relativity
Sat & Sun, Apr 26 - Apr 27 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)

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jlacosta

Mar 2, 2025

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March Highlights and 2025 AoPS Online Class Information

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#1 h Mar 2, 2025, 2:54 PM • 42 Y

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March is the month for State MATHCOUNTS competitions! Kudos to everyone who participated in their local chapter competitions and best of luck to all going to State! Join us on March 11th for a Math Jam devoted to our favorite Chapter competition problems! Are you interested in training for MATHCOUNTS? Be sure to check out our AMC 8/MATHCOUNTS Basics and Advanced courses.

Are you ready to level up with Olympiad training? Registration is open with early bird pricing available for our WOOT programs: MathWOOT (Levels 1 and 2), CodeWOOT, PhysicsWOOT, and ChemWOOT. What is WOOT? WOOT stands for Worldwide Online Olympiad Training and is a 7-month high school math Olympiad preparation and testing program that brings together many of the best students from around the world to learn Olympiad problem solving skills. Classes begin in September!

Do you have plans this summer? There are so many options to fit your schedule and goals whether attending a summer camp or taking online classes, it can be a great break from the routine of the school year. Check out our summer courses at AoPS Online, or if you want a math or language arts class that doesn’t have homework, but is an enriching summer experience, our AoPS Virtual Campus summer camps may be just the ticket! We are expanding our locations for our AoPS Academies across the country with 15 locations so far and new campuses opening in Saratoga CA, Johns Creek GA, and the Upper West Side NY. Check out this page for summer camp information.

Be sure to mark your calendars for the following events:

March 5th (Wednesday), 4:30pm PT/7:30pm ET, HCSSiM Math Jam 2025. Amber Verser, Assistant Director of the Hampshire College Summer Studies in Mathematics, will host an information session about HCSSiM, a summer program for high school students.
March 6th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar on Math Competitions from elementary through high school. Join us for an enlightening session that demystifies the world of math competitions and helps you make informed decisions about your contest journey.
March 11th (Tuesday), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS Chapter Discussion MATH JAM. AoPS instructors will discuss some of their favorite problems from the MATHCOUNTS Chapter Competition. All are welcome!
March 13th (Thursday), 4:00pm PT/7:00pm ET, Free Webinar about Summer Camps at the Virtual Campus. Transform your summer into an unforgettable learning adventure! From elementary through high school, we offer dynamic summer camps featuring topics in mathematics, language arts, and competition preparation - all designed to fit your schedule and ignite your passion for learning.

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

Prealgebra 1
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Prealgebra 2 Self-Paced

Prealgebra 2
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Introduction to Algebra A Self-Paced

Introduction to Algebra A
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Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
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Introduction to Number Theory
Monday, Mar 17 - Jun 9
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Introduction to Algebra B Self-Paced

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Introduction to Geometry
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Intermediate: Grades 8-12

Intermediate Algebra
Sunday, Mar 16 - Sep 14
Tuesday, Mar 25 - Sep 2
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Intermediate Counting & Probability
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Wednesday, May 21 - Sep 17
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Intermediate Number Theory
Friday, Apr 11 - Jun 27
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Precalculus
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Advanced: Grades 9-12

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Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Sunday, Mar 23 - Jun 15
Wednesday, Apr 16 - Jul 2
Friday, May 23 - Aug 15
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Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

MATHCOUNTS/AMC 8 Advanced
Friday, Apr 11 - Jun 27
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Problem Series
Tuesday, Mar 4 - May 20
Monday, Mar 31 - Jun 23
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
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Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Final Fives
Sunday, May 11 - Jun 8
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AMC 12 Problem Series
Tuesday, May 27 - Aug 12
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AMC 12 Final Fives
Sunday, May 18 - Jun 15

F=ma Problem Series
Wednesday, Jun 11 - Aug 27

WOOT Programs
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MathWOOT Level 1
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Programming

Introduction to Programming with Python
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Intermediate Programming with Python
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USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
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Physics

Introduction to Physics
Sunday, Mar 30 - Jun 22
Wednesday, May 21 - Aug 6
Sunday, Jun 15 - Sep 14
Monday, Jun 23 - Sep 15

Physics 1: Mechanics
Tuesday, Mar 25 - Sep 2
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

Relativity
Sat & Sun, Apr 26 - Apr 27 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)

This post has been edited 2 times. Last edited by jlacosta, Mar 2, 2025, 2:55 PM

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