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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8
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k a June Highlights and 2025 AoPS Online Class Information
jlacosta   0
Congratulations to all the mathletes who competed at National MATHCOUNTS! If you missed the exciting Countdown Round, you can watch the video at this link. Are you interested in training for MATHCOUNTS or AMC 10 contests? How would you like to train for these math competitions in half the time? We have accelerated sections which meet twice per week instead of once starting on July 8th (7:30pm ET). These sections fill quickly so enroll today!

[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC 10 Problem Series[/list]
For those interested in Olympiad level training in math, computer science, physics, and chemistry, be sure to enroll in our WOOT courses before August 19th to take advantage of early bird pricing!

Summer camps are starting this 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 a transformative 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][*]June 5th, Thursday, 7:30pm ET: Open Discussion with Ben Kornell and Andrew Sutherland, Art of Problem Solving's incoming CEO Ben Kornell and CPO Andrew Sutherland host an Ask Me Anything-style chat. Come ask your questions and get to know our incoming CEO & CPO!
[*]June 9th, Monday, 7:30pm ET, Game Jam: Operation Shuffle!, Come join us to play our second round of Operation Shuffle! If you enjoy number sense, logic, and a healthy dose of luck, this is the game for you. No specific math background is required; all are welcome.[/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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Prealgebra 2 Self-Paced

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Introduction to Algebra A Self-Paced

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Introduction to Counting & Probability Self-Paced

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Paradoxes and Infinity
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Olympiad Geometry
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Group Theory
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Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
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AIME Problem Series A
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Visit the pages linked for full schedule details for each of these programs!


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0 replies
jlacosta
Jun 2, 2025
0 replies
9 Have you taken the AMC 10 test before?
aadimathgenius9   112
Have you taken the AMC 10 test before?
112 replies
aadimathgenius9
Jan 5, 2025
MURATA
8 minutes ago
simultaneous equation
Darealzolt   1
Find \(ab\) if
\[
\begin{cases}
\sqrt{a}+\sqrt{b} = 5 \\
a\sqrt{a}+b\sqrt{b} = 20
\end{cases}
\]
1 reply
Darealzolt
6 hours ago
kamuii
2 hours ago
UltraCool Comfort: A Deep Dive into Vital Breeze AC Reviews
breezeboxac   1
From advanced filtration systems to intelligent climate monitoring and whisper-quiet operation, Vital Breeze AC is not just another appliance; it’s a finely crafted piece of modern technology designed to enhance the way we live, work, and relax. This article dives deep into what makes Vital Breeze AC unique, exploring its features, benefits, design philosophy, and the innovation behind its creation.

Official Website
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Facebook
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https://www.facebook.com/groups/getvitalbreezeacreviews
https://www.facebook.com/groups/buyvitalbreezeac
1 reply
breezeboxac
5 hours ago
Yiyj1
4 hours ago
variety of algebra
FrancoGiosefAG   11
2. Find the value of
\[\frac{(2+1)(2^2+1)(2^4+1)\dots(2^{32}+1)}{2^{64}-1} \]
5. Pedro and Pablo took an exam. Pedro got $1/9$ of the questions wrong, and Pablo got $7$ answers right. Furthermore, the number of questions where both got the answer right is $1/6$ of the total. How many questions did Pedro get right?

6. Rectangle $ABCD$ has integer sides. Furthermore, the numerical value of its perimeter is equal to that of its area. Find the sum of all possible values for this area.

8. Deeds writes the natural numbers in triangular form as shown in the figure:
\begin{align*} \text{First row:} &\hspace{1mm}1 \\ \text{Second row:} &\hspace{1mm}2 \hspace{1mm} 3 \\ \text{Third row:} &\hspace{1mm}4 \hspace{1mm} 5 \hspace{1mm} 6 \\ \text{Fourth row:} &\hspace{1mm}7 \hspace{1mm} 8 \hspace{1mm} 9 \hspace{1mm} 10 \end{align*}Deeds' pencil wears out just as he finishes writing the hundredth row. What is the sum of the numbers in that row?

14. Find all triples $(a, b, c)$ of positive integers such that $a, b, c$ are the sides of a right triangle whose area is $a + b + c$.

17. The product of two of the first $17$ positive integers is equal to the sum of the remaining $15$. What is the sum of these two numbers?

21. Let $a, b$ be real numbers such that $a < b < 0$ and $a^2 + b^2 = 4ab$. Find the value of $\frac{a-b}{a+b}$.
11 replies
FrancoGiosefAG
Wednesday at 11:51 PM
AkCANdo
Today at 2:55 AM
High School Math Grades 9-12, Ages 13-18
Grades 9-12, Ages 13-18
3
VNew Topic kLocked
High School Math Grades 9-12, Ages 13-18
Grades 9-12, Ages 13-18
3
VNew Topic kLocked
G
Topic
First Poster
Last Poster
k a June Highlights and 2025 AoPS Online Class Information
jlacosta   0
Congratulations to all the mathletes who competed at National MATHCOUNTS! If you missed the exciting Countdown Round, you can watch the video at this link. Are you interested in training for MATHCOUNTS or AMC 10 contests? How would you like to train for these math competitions in half the time? We have accelerated sections which meet twice per week instead of once starting on July 8th (7:30pm ET). These sections fill quickly so enroll today!

[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC 10 Problem Series[/list]
For those interested in Olympiad level training in math, computer science, physics, and chemistry, be sure to enroll in our WOOT courses before August 19th to take advantage of early bird pricing!

Summer camps are starting this 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 a transformative 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][*]June 5th, Thursday, 7:30pm ET: Open Discussion with Ben Kornell and Andrew Sutherland, Art of Problem Solving's incoming CEO Ben Kornell and CPO Andrew Sutherland host an Ask Me Anything-style chat. Come ask your questions and get to know our incoming CEO & CPO!
[*]June 9th, Monday, 7:30pm ET, Game Jam: Operation Shuffle!, Come join us to play our second round of Operation Shuffle! If you enjoy number sense, logic, and a healthy dose of luck, this is the game for you. No specific math background is required; all are welcome.[/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
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
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Sunday, Aug 17 - Dec 14
Tuesday, Aug 26 - Dec 16
Friday, Sep 5 - Jan 16
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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
Sunday, Jun 1 - Aug 24
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Wednesday, Jul 2 - Sep 17
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Friday, Oct 3 - Jan 16
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Introduction to Number Theory
Monday, Jun 9 - Aug 25
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Introduction to Algebra B Self-Paced

Introduction to Algebra B
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Introduction to Geometry
Monday, Jun 16 - Dec 8
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Sunday, Oct 26 - Apr 26
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Paradoxes and Infinity
Mon, Tue, Wed, & Thurs, Jul 14 - Jul 16 (meets every day of the week!)

Intermediate: Grades 8-12

Intermediate Algebra
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
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Friday, Aug 8 - Feb 20
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Intermediate Counting & Probability
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Sunday, Sep 28 - Feb 15
Tuesday, Nov 4 - Mar 24

Intermediate Number Theory
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Wednesday, Jun 18 - Sep 3
Wednesday, Sep 24 - Dec 17

Precalculus
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Advanced: Grades 9-12

Olympiad Geometry
Tuesday, Jun 10 - Aug 26

Calculus
Wednesday, Jun 25 - Dec 17
Sunday, Sep 7 - Mar 15
Wednesday, Sep 24 - Apr 1
Friday, Nov 14 - May 22

Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)
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Tues, Thurs & Sun, Dec 9 - Jan 18 (meets three times a week!)

MATHCOUNTS/AMC 8 Advanced
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Mon, Wed & Fri, Dec 8 - Jan 16 (meets three times a week!)

AMC 10 Problem Series
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AMC 10 Final Fives
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AMC 12 Problem Series
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AMC 12 Final Fives
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AIME Problem Series A
Thursday, Oct 23 - Jan 29

AIME Problem Series B
Sunday, Jun 22 - Sep 21
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F=ma Problem Series
Wednesday, Jun 11 - Aug 27
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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

Introduction to Programming with Python
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Intermediate Programming with Python
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Introduction to Physics
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Relativity
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)
0 replies
jlacosta
Jun 2, 2025
0 replies
Function
AOSP2405   1
If f:R->R, f(x) =-x+{x}(a+2)-{ax} find f(f(x)), where {x} is the fractional part of x.
1 reply
AOSP2405
Feb 17, 2019
Mathzeus1024
3 minutes ago
Find the value of x+y+z
Darealzolt   1
It is given that \(x,y,z\) are real numbers, such that all three of them fulfill
\[
\frac{1}{x}+\frac{1}{y+z}=\frac{36}{5}
\]\[
\frac{1}{y}+\frac{1}{z+x}=4
\]\[
\frac{1}{z}+\frac{1}{x+y}=\frac{9}{2}
\]Hence find the value of \(x+y+z\).
(KTOM September 2020)
1 reply
Darealzolt
5 hours ago
P0tat0b0y
an hour ago
Intresting Functions
Darealzolt   1
It is known that \(a\) is a positive integer, and function \(f\) is defined as
\[
f(x)=\frac{\pi^x}{\pi^x+\pi^{2a-x}}
\]Hence if the function \(g\) is defined as
\[
g(a)=f(0)+f(\frac{a}{2025})+f(\frac{2a}{2025})+f(\frac{3a}{2025})+\dots +f(\frac{4049a}{2025})+f(2a)
\]Find the largest positive integer \(b\), such that \(g(a)\geq b\), for all values of \(a \geq 1\).
1 reply
Darealzolt
2 hours ago
P0tat0b0y
an hour ago
The equality down is wrong-coded .I will code in here again.
GENSHIN-enthusiast   6
Given x,y,z>0.
Please prove that$sum \sqrt{\frac{x}{y+z} } \ge \frac{3\sqrt{2} }{2}. $
thx qwq
6 replies
GENSHIN-enthusiast
Yesterday at 9:01 AM
P0tat0b0y
an hour ago
Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3
VNew Topic kLocked
Contests & Programs AMC and other contests, summer programs, etc.
AMC and other contests, summer programs, etc.
3
VNew Topic kLocked
34,774 topics
w
2 users
G
Topic
First Poster
Last Poster
k a June Highlights and 2025 AoPS Online Class Information
jlacosta   0
Congratulations to all the mathletes who competed at National MATHCOUNTS! If you missed the exciting Countdown Round, you can watch the video at this link. Are you interested in training for MATHCOUNTS or AMC 10 contests? How would you like to train for these math competitions in half the time? We have accelerated sections which meet twice per week instead of once starting on July 8th (7:30pm ET). These sections fill quickly so enroll today!

[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC 10 Problem Series[/list]
For those interested in Olympiad level training in math, computer science, physics, and chemistry, be sure to enroll in our WOOT courses before August 19th to take advantage of early bird pricing!

Summer camps are starting this 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 a transformative 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][*]June 5th, Thursday, 7:30pm ET: Open Discussion with Ben Kornell and Andrew Sutherland, Art of Problem Solving's incoming CEO Ben Kornell and CPO Andrew Sutherland host an Ask Me Anything-style chat. Come ask your questions and get to know our incoming CEO & CPO!
[*]June 9th, Monday, 7:30pm ET, Game Jam: Operation Shuffle!, Come join us to play our second round of Operation Shuffle! If you enjoy number sense, logic, and a healthy dose of luck, this is the game for you. No specific math background is required; all are welcome.[/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
Sunday, Jun 15 - Oct 12
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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
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Introduction to Algebra B Self-Paced

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0 replies
jlacosta
Jun 2, 2025
0 replies
MAN IS KID
DrMath   139
Source: USAMO 2017 P3, Evan Chen
Let $ABC$ be a scalene triangle with circumcircle $\Omega$ and incenter $I$. Ray $AI$ meets $\overline{BC}$ at $D$ and meets $\Omega$ again at $M$; the circle with diameter $\overline{DM}$ cuts $\Omega$ again at $K$. Lines $MK$ and $BC$ meet at $S$, and $N$ is the midpoint of $\overline{IS}$. The circumcircles of $\triangle KID$ and $\triangle MAN$ intersect at points $L_1$ and $L_2$. Prove that $\Omega$ passes through the midpoint of either $\overline{IL_1}$ or $\overline{IL_2}$.

Proposed by Evan Chen
139 replies
DrMath
Apr 19, 2017
Aiden-1089
2 hours ago
Goals for 2025-2026
Airbus320-214   223
Please write down your goal/goals for competitions here for 2025-2026.
223 replies
Airbus320-214
May 11, 2025
kamuii
2 hours ago
Sad Number Theory
tastymath75025   47
Source: 2018 USAMO 3, by Ivan Borsenco
For a given integer $n\ge 2$, let $\{a_1,a_2,…,a_m\}$ be the set of positive integers less than $n$ that are relatively prime to $n$. Prove that if every prime that divides $m$ also divides $n$, then $a_1^k+a_2^k + \dots + a_m^k$ is divisible by $m$ for every positive integer $k$.

Proposed by Ivan Borsenco
47 replies
tastymath75025
Apr 18, 2018
MathLuis
3 hours ago
'10 USAMO #2: Students in a Circle
1=2   52
There are $n$ students standing in a circle, one behind the other. The students have heights $h_1<h_2<\dots <h_n$. If a student with height $h_k$ is standing directly behind a student with height $h_{k-2}$ or less, the two students are permitted to switch places. Prove that it is not possible to make more than $\binom{n}{3}$ such switches before reaching a position in which no further switches are possible.
52 replies
1=2
Apr 29, 2010
cursed_tangent1434
5 hours ago
High School Olympiads Regional, national, and international math olympiads
Regional, national, and international math olympiads
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k a June Highlights and 2025 AoPS Online Class Information
jlacosta   0
Congratulations to all the mathletes who competed at National MATHCOUNTS! If you missed the exciting Countdown Round, you can watch the video at this link. Are you interested in training for MATHCOUNTS or AMC 10 contests? How would you like to train for these math competitions in half the time? We have accelerated sections which meet twice per week instead of once starting on July 8th (7:30pm ET). These sections fill quickly so enroll today!

[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC 10 Problem Series[/list]
For those interested in Olympiad level training in math, computer science, physics, and chemistry, be sure to enroll in our WOOT courses before August 19th to take advantage of early bird pricing!

Summer camps are starting this 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 a transformative 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][*]June 5th, Thursday, 7:30pm ET: Open Discussion with Ben Kornell and Andrew Sutherland, Art of Problem Solving's incoming CEO Ben Kornell and CPO Andrew Sutherland host an Ask Me Anything-style chat. Come ask your questions and get to know our incoming CEO & CPO!
[*]June 9th, Monday, 7:30pm ET, Game Jam: Operation Shuffle!, Come join us to play our second round of Operation Shuffle! If you enjoy number sense, logic, and a healthy dose of luck, this is the game for you. No specific math background is required; all are welcome.[/list]
Our full course list for upcoming classes is below:
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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

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Introduction to Algebra B Self-Paced

Introduction to Algebra B
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Intermediate Algebra
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0 replies
jlacosta
Jun 2, 2025
0 replies
60-60-30 Geometry
tobiSALT   7
Source: Cono Sur 2025 #5
Let $ABCD$ be a convex quadrilateral with sides $AB, BC, CD,$ and $DA$, such that $AB > BC$.
The quadrilateral satisfies the following conditions:
[center]
$\angle ABD = 60^{\circ}, \quad \angle CBD = 60^{\circ}, \quad \angle ACD = 30^{\circ}.$
[/center]
Prove that $\angle BAC = \angle DAC$.
7 replies
+1 w
tobiSALT
Jun 7, 2025
Tsikaloudakis
6 minutes ago
A cyclic inequality
TNKT   2
Source: Tran Ngoc Khuong Trang: https://www.facebook.com/photo?fbid=740526159133194&set=a.117372421448574
Problem. Let $a,b,c\neq 0$ then prove $$\frac{a^2}{\left(a^2+ab+b^2\right)^2}+\frac{b^2}{\left(b^2+bc+c^2\right)^2}+\frac{c^2}{\left(c^2+ca+a^2\right)^2}\ge \frac{1}{a^2+b^2+c^2}.$$
2 replies
TNKT
4 hours ago
TNKT
13 minutes ago
JBMO 2018. Shortlist NT
Steve12345   15
Find all ordered pairs of positive integers $(m,n)$ such that :
$125*2^n-3^m=271$
15 replies
Steve12345
Jul 7, 2019
TigerOnion
38 minutes ago
Add d or Divide by a
MarkBcc168   26
Source: ISL 2022 N3
Let $a > 1$ be a positive integer and $d > 1$ be a positive integer coprime to $a$. Let $x_1=1$, and for $k\geq 1$, define
$$x_{k+1} = \begin{cases}
x_k + d &\text{if } a \text{ does not divide } x_k \\
x_k/a & \text{if } a \text{ divides } x_k
\end{cases}$$Find, in terms of $a$ and $d$, the greatest positive integer $n$ for which there exists an index $k$ such that $x_k$ is divisible by $a^n$.
26 replies
2 viewing
MarkBcc168
Jul 9, 2023
monval
an hour ago
College Math Topics in undergraduate and graduate studies
Topics in undergraduate and graduate studies
3
VNew Topic kLocked
College Math Topics in undergraduate and graduate studies
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k a June Highlights and 2025 AoPS Online Class Information
jlacosta   0
Congratulations to all the mathletes who competed at National MATHCOUNTS! If you missed the exciting Countdown Round, you can watch the video at this link. Are you interested in training for MATHCOUNTS or AMC 10 contests? How would you like to train for these math competitions in half the time? We have accelerated sections which meet twice per week instead of once starting on July 8th (7:30pm ET). These sections fill quickly so enroll today!

[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC 10 Problem Series[/list]
For those interested in Olympiad level training in math, computer science, physics, and chemistry, be sure to enroll in our WOOT courses before August 19th to take advantage of early bird pricing!

Summer camps are starting this 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 a transformative 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][*]June 5th, Thursday, 7:30pm ET: Open Discussion with Ben Kornell and Andrew Sutherland, Art of Problem Solving's incoming CEO Ben Kornell and CPO Andrew Sutherland host an Ask Me Anything-style chat. Come ask your questions and get to know our incoming CEO & CPO!
[*]June 9th, Monday, 7:30pm ET, Game Jam: Operation Shuffle!, Come join us to play our second round of Operation Shuffle! If you enjoy number sense, logic, and a healthy dose of luck, this is the game for you. No specific math background is required; all are welcome.[/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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Prealgebra 2 Self-Paced

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Introduction to Algebra A Self-Paced

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

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Introduction to Algebra B Self-Paced

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Intermediate Algebra
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Precalculus
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0 replies
jlacosta
Jun 2, 2025
0 replies
iterated functional equation
am_11235...   4
Source: own
Find all functions $f:\mathbb{N}\to\mathbb{N}$ such that for each $n\in\mathbb{N}$ $$2n+2020\leq f(f(n))+f(n)\leq 2n+2021$$
4 replies
am_11235...
Feb 14, 2021
Mathzeus1024
26 minutes ago
T-Shirt⠀⠀
centslordm   1
\[\lim_{n \to \infty} \mathbb E \left[\int_{[0, 1]^2} \left( \left(\sum^n_{i=1} \mathbf 1_{B(X_i, r_i)} (x) \right) \bmod 2\right)\,\mathrm dx\right]\]\[X_i \sim U(0, 1)^2, \;r_i \sim U \left(0, \sqrt{ \tfrac 3{n \pi} }\right)\]
1 reply
centslordm
Yesterday at 3:42 PM
Aiden-1089
35 minutes ago
The matrix in some degree is a scalar
FFA21   7
Source: MSU algebra olympiad 2025 P2
$A\in M_{3\times 3}$ invertible, for an infinite number of $k$:
$tr(A^k)=0$
Is it true that $\exists n$ such that $A^n$ is a scalar
7 replies
FFA21
May 20, 2025
Gryphos
2 hours ago
Limit of a product
P_Fazioli   5
Is it true that the limits of the products $\displaystyle\prod_{n=1}^N\left(1-\mathrm{e}^{\mathrm{i}n\theta}\right)$ and $\displaystyle\prod_{n=1}^N\left(1+\mathrm{e}^{\mathrm{i}n\theta}\right)$ as $N\longrightarrow +\infty$ do not exist or are infinite (which one ?) if $\theta\notin\pi\mathbb{Q}$ ($\theta$ is real) ?
A real and elementary proof would be appreciated.
5 replies
P_Fazioli
Yesterday at 7:09 AM
solyaris
3 hours ago
Site Support Tech support and questions about AoPS classes and materials
Tech support and questions about AoPS classes and materials
3
VNew Topic kLocked
Site Support Tech support and questions about AoPS classes and materials
Tech support and questions about AoPS classes and materials
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Topic
First Poster
Last Poster
k a June Highlights and 2025 AoPS Online Class Information
jlacosta   0
Congratulations to all the mathletes who competed at National MATHCOUNTS! If you missed the exciting Countdown Round, you can watch the video at this link. Are you interested in training for MATHCOUNTS or AMC 10 contests? How would you like to train for these math competitions in half the time? We have accelerated sections which meet twice per week instead of once starting on July 8th (7:30pm ET). These sections fill quickly so enroll today!

[list][*]MATHCOUNTS/AMC 8 Basics
[*]MATHCOUNTS/AMC 8 Advanced
[*]AMC 10 Problem Series[/list]
For those interested in Olympiad level training in math, computer science, physics, and chemistry, be sure to enroll in our WOOT courses before August 19th to take advantage of early bird pricing!

Summer camps are starting this 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 a transformative 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][*]June 5th, Thursday, 7:30pm ET: Open Discussion with Ben Kornell and Andrew Sutherland, Art of Problem Solving's incoming CEO Ben Kornell and CPO Andrew Sutherland host an Ask Me Anything-style chat. Come ask your questions and get to know our incoming CEO & CPO!
[*]June 9th, Monday, 7:30pm ET, Game Jam: Operation Shuffle!, Come join us to play our second round of Operation Shuffle! If you enjoy number sense, logic, and a healthy dose of luck, this is the game for you. No specific math background is required; all are welcome.[/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
Jun 2, 2025
0 replies
Interval notation in Alcumus
reginwon   4
So I solved this problem regarding intervals, and the answer was all real numbers. I was wondering, whether Alcumus would accept $\mathbb{R}$ (simply typing R) as an answer, instead of typing $(-\inf, \inf)$, and if it doesn't, could it be a suggestion for AoPS devs as a feature in future updates?
4 replies
reginwon
Jun 9, 2025
AkCANdo
6 hours ago
k Alcumus bug
MathLoverYeah   1
URL: aops.com/alcumus
I was working on the Mixed Numbers section of Alcumus. After I solved a problem, it showed XP being gained in precalculus for some reason. Why is this?
Steps to reproduce:
1. Finish a problem in Mixed Numbers and level up in something
Expected behavior: No precalculus Xp gain
Frequency: Not sure
Operating system(s): Windows 11
Browser(s), including version: Microsoft Edge 132
Additional information: None
1 reply
MathLoverYeah
Yesterday at 8:47 PM
ibmo0907
Yesterday at 8:51 PM
Bug on Alcumus
FunnyKoala17   17
Page URL: artofproblemsolving.com/alcumus/problem

Problem: So, I was doing Using Geometry in Probability, and I had a 97 rating. I switched to Arithmetic-Reciprocals. Before, I had a 100 rating in Reciprocals, but then, on another, laptop, I changed back to Arithmetic-Reciprocals, did a question , went back to this laptop, and now, my RECIPROCALS CHANGED FROM 100 TO 97!!

Is this a bug? I'm really sad, cause, it took me a long time to get to 100.

Steps to reproduce:
Go on a topic on Laptop 1. Then, do 1 question in Arithmetic-Reciprocals, switch to laptop 2, and switch topics to Using Geometry in Probability. Do one question, switch back to laptop 1, and your Reciprocals rating will change into your Using Geometry in Probability rating.

Frequency: Not often

Expected behavior: It should save your rating, not change it.

Operating system(s): Laptop 1: MacOS Big Sur, version 11.6 Laptop 2: School Chromebook

Browser(s), including version: Idk, Chrome?

Additional information: Laptop 2 was a school chromebook. Nothing else, but the fact that I am VERY SAD. :noo: :noo: :noo:


HOWEVER, PLEASE DON'T TRY TO REPRODUCE UNLESS YOU ARE MOD OR ADMIN. YOU WILL BE VERY SAD, ESPECIALLY THOSE ALCUMUS GRINDERS.
17 replies
FunnyKoala17
Jun 3, 2025
wipid98
Yesterday at 4:27 PM
PAGE NOT SCROLLING DOWN ALL THE WAY; GETS STUCK 1.5 POSTS BEFORE THREAD END
CurlyFalcon55   18
Summary of the problem:
Whenever I push the big, top right "Reply" button– NOT THE SMALL LITTLE "QUICK REPLY" BAR ON THE BOTTOM, and reply, I can't scroll down all the way to the bottom of the thread that I just posted in. Sometimes, very rarely though, I doesn't scroll down all the way when I push the "Quick Reply" bar.


-----Page URL:
Anywhere in the "Introduction to Number Theory" forum in AoPS


-----Steps to reproduce:

1. Go to the link above.

2. Click any thread or create a new one.

3. Click the "Reply" button, not the quick reply bar.

4. Type a reply.

5. Push the "Submit" button.

6. Try to scroll down. if you’re lucky, the problem will reproduce.

-----Expected behavior:
To scroll all the way down.


-----Frequency:
Almost every time I push the big "Reply" button, sometimes (but rarely) when I push the "Quick Reply" bar.


-----Operating system(s):
macOS Sequoia 15.4.1


-----Browser(s), including version:
Chrome, (I don't know what version)


-----Additional information:
-It rarely does it in the "Quick Reply" bar.
-It almost always does it in the big "Reply" button on the top right.


-----Can anyone reproduce?
18 replies
CurlyFalcon55
Jun 1, 2025
Valkyrie13
Wednesday at 4:23 PM
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