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k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
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.

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0 replies
jlacosta
Apr 2, 2025
0 replies
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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
J
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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
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powers sums and triangular numbers
gaussious   4
N an hour ago by kiyoras_2001
prove 1^k+2^k+3^k + \cdots + n^k \text{is divisible by } \frac{n(n+1)}{2} \text{when} k \text{is odd}
4 replies
gaussious
Yesterday at 1:00 PM
kiyoras_2001
an hour ago
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complex bashing in angles??
megahertz13   2
N an hour ago by ali123456
Source: 2013 PUMAC FA2
Let $\gamma$ and $I$ be the incircle and incenter of triangle $ABC$. Let $D$, $E$, $F$ be the tangency points of $\gamma$ to $\overline{BC}$, $\overline{CA}$, $\overline{AB}$ and let $D'$ be the reflection of $D$ about $I$. Assume $EF$ intersects the tangents to $\gamma$ at $D$ and $D'$ at points $P$ and $Q$. Show that $\angle DAD' + \angle PIQ = 180^\circ$.
2 replies
megahertz13
Nov 5, 2024
ali123456
an hour ago
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f(x+y+f(y)) = f(x) + f(ay)
the_universe6626   5
N 2 hours ago by deduck
Source: Janson MO 4 P5
For a given integer $a$, find all functions $f:\mathbb{Z}\rightarrow\mathbb{Z}$ such that
\[f(x+y+f(y))=f(x)+f(ay)\]holds for all $x,y\in\mathbb{Z}$.

(Proposed by navi_09220114)
5 replies
the_universe6626
Feb 21, 2025
deduck
2 hours ago
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1000th Post!
PikaPika999   143
N 2 hours ago by Yihangzh
When I had less than 25 posts on AoPS, I saw many people create threads about them getting 1000th posts. I thought I would never hit 1000 posts, but here we are, this is my 1000th post.

As a lot of users like to do, I'll write my math story:

Daycare
Preschool
Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Quick Quote that was from MLK that I edited

In conclusion, AoPS has helped me improve my math. I have also made many new friends on AoPS!

Finally, I would like to say thank you to all the new friends I made and all the instructors on AoPS that taught me!

Minor side note, but
143 replies
PikaPika999
Apr 5, 2025
Yihangzh
2 hours ago
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The daily problem!
Leeoz   112
N 2 hours ago by huajun78
Every day, I will try to post a new problem for you all to solve! If you want to post a daily problem, you can! :)

Please hide solutions and answers, hints are fine though! :)

Problems usually get harder throughout the week, so Sunday is the easiest and Saturday is the hardest!

Past Problems!
112 replies
Leeoz
Mar 21, 2025
huajun78
2 hours ago
J
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a, b subset
MithsApprentice   19
N 2 hours ago by Maximilian113
Source: USAMO 1996
Determine (with proof) whether there is a subset $X$ of the integers with the following property: for any integer $n$ there is exactly one solution of $a + 2b = n$ with $a,b \in X$.
19 replies
MithsApprentice
Oct 22, 2005
Maximilian113
2 hours ago
J
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Hard Polynomial
ZeltaQN2008   1
N 2 hours ago by kiyoras_2001
Source: IDK
Let ?(?) be a polynomial with integer coefficients. Suppose there exist infinitely many integer pairs (?,?) such that
?(?) + ?(?) = 0. Prove that the graph of ?(?) is symmetric about a point (i.e., it has a center of symmetry).






1 reply
ZeltaQN2008
Apr 16, 2025
kiyoras_2001
2 hours ago
J
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Arrangement of integers in a row with gcd
egxa   1
N 2 hours ago by Rohit-2006
Source: All Russian 2025 10.5 and 11.5
Let \( n \) be a natural number. The numbers \( 1, 2, \ldots, n \) are written in a row in some order. For each pair of adjacent numbers, their greatest common divisor (GCD) is calculated and written on a sheet. What is the maximum possible number of distinct values among the \( n - 1 \) GCDs obtained?
1 reply
egxa
4 hours ago
Rohit-2006
2 hours ago
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100 post!
JohannIsBach   13
N 2 hours ago by Dolphincurious79
this is my 100th post! i cant believe it. :wow:
P.S. can everyone who reads this give it an upvote? thx!
13 replies
JohannIsBach
Mar 10, 2025
Dolphincurious79
2 hours ago
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300 MAP Goal??
Antoinette14   58
N 2 hours ago by Dolphincurious79
Hey, so as a 6th grader, my big goal for MAP this spring is to get a 300 (ambitious, i know). I'm currently at a 285 (288 last year though). I'm already taking a intro to counting and probability course (One of my weak points), but is there anything else you recommend I focus on to get a 300?
58 replies
Antoinette14
Jan 30, 2025
Dolphincurious79
2 hours ago
J
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Grasshoppers facing in four directions
Stuttgarden   2
N 3 hours ago by biomathematics
Source: Spain MO 2025 P5
Let $S$ be a finite set of cells in a square grid. On each cell of $S$ we place a grasshopper. Each grasshopper can face up, down, left or right. A grasshopper arrangement is Asturian if, when each grasshopper moves one cell forward in the direction in which it faces, each cell of $S$ still contains one grasshopper.
[list]
[*] Prove that, for every set $S$, the number of Asturian arrangements is a perfect square.
[*] Compute the number of Asturian arrangements if $S$ is the following set:
2 replies
Stuttgarden
Mar 31, 2025
biomathematics
3 hours ago
J
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Number Theory
Fasih   0
3 hours ago
Find all integer solutions of the equation $x^{3} + 2 ^{\text{y}} = p^{2}$ for all x, y $\ge$ 0, where $p$ is the prime number.

author @Fasih
0 replies
Fasih
3 hours ago
0 replies
J
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Polynomial functional equation
Fishheadtailbody   1
N 3 hours ago by Sadigly
Source: MACMO
P(x) is a polynomial with real coefficients such that
P(x)^2 - 1 = 4 P(x^2 - 4x + 1).
Find P(x).

Click to reveal hidden text
1 reply
Fishheadtailbody
3 hours ago
Sadigly
3 hours ago
J
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Bijection on the set of integers
talkon   19
N 3 hours ago by AN1729
Source: InfinityDots MO 2 Problem 2
Determine all bijections $f:\mathbb Z\to\mathbb Z$ satisfying
$$f^{f(m+n)}(mn) = f(m)f(n)$$for all integers $m,n$.

Note: $f^0(n)=n$, and for any positive integer $k$, $f^k(n)$ means $f$ applied $k$ times to $n$, and $f^{-k}(n)$ means $f^{-1}$ applied $k$ times to $n$.

Proposed by talkon
19 replies
talkon
Apr 9, 2018
AN1729
3 hours ago
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Website to learn math
hawa   29
N Today at 5:50 AM by Andrew2019
Hi, I'm kinda curious what website do yall use to learn math, like i dont find any website thats fun to learn math
29 replies
hawa
Apr 9, 2025
Andrew2019
Today at 5:50 AM
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Website to learn math
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Reveal topic tags
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hawa
1 post
hawa
#1 h  Apr 9, 2025, 2:52 AM • 1 Y
Y by IsaacShi
Hi, I'm kinda curious what website do yall use to learn math, like i dont find any website thats fun to learn math
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Leeoz
175 posts
Leeoz
#2 h  Apr 9, 2025, 2:56 AM • 12 Y
Y by huajun78, jkim0656, Sedro, Cinnamon.-.Roll, BigOrca, pingpongmerrily, acuL_51, MathDolphin95, aidan0626, Gato_combinatorio, Creeperboat, Solocraftsolo
your on the right site to learn math...
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jkim0656
844 posts
jkim0656
#3 h  Apr 9, 2025, 2:57 AM • 3 Y
Y by Cinnamon.-.Roll, BigOrca, MathDolphin95
deadpan voiceover
*i use this website to learn math*.
This post has been edited 1 time. Last edited by jkim0656, Apr 9, 2025, 2:57 AM
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codeninja
75 posts
codeninja
#4 h  Apr 9, 2025, 3:01 AM • 1 Y
Y by MathDolphin95
Use Beast Academy (BA)
It's run by AoPS
Real fun
Link: https://beastacademy.com
This post has been edited 1 time. Last edited by codeninja, Apr 9, 2025, 3:03 AM
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jkim0656
844 posts
jkim0656
#5 h  Apr 9, 2025, 3:04 AM • 3 Y
Y by Cinnamon.-.Roll, BigOrca, MathDolphin95
codeninja wrote:
Use Beast Academy (BA)
It's run by AoPS
Real fun
Link: https://beastacademy.com

im pretty sure it only goes up to 5th grade tho...
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kiwiteddy
190 posts
kiwiteddy
#6 h  Apr 9, 2025, 3:09 AM • 2 Y
Y by BigOrca, MathDolphin95
aops is nice, and i like khan academy too
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IsaacShi
360 posts
IsaacShi
#7 h  Apr 9, 2025, 3:19 AM • 2 Y
Y by BigOrca, MathDolphin95
aops and alphastar. (aops better)
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martianrunner
168 posts
martianrunner
#8 h  Apr 9, 2025, 4:37 AM • 1 Y
Y by BigOrca
you kind of have to sign up for alphastar, no?

alphastar's website doesn't really provide much learning
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sadas123
1231 posts
sadas123
#9 h  Apr 9, 2025, 10:56 AM • 2 Y
Y by BigOrca, MathDolphin95
martianrunner wrote:
you kind of have to sign up for alphastar, no?

alphastar's website doesn't really provide much learning

I was looking at their classes and it costs $2,000 for most of their classes :skull AoPS is the best for classes and learning.
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MathDolphin95
2280 posts
MathDolphin95
#10 h  Apr 9, 2025, 5:05 PM • 1 Y
Y by BigOrca
this one!

aops is great! alcumus is good and classes are fun (I love the self-paced ones except I ran out :()
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JerryZYang
68 posts
JerryZYang
#11 h  Apr 9, 2025, 5:08 PM • 2 Y
Y by BigOrca, MathDolphin95
Personally I like aops. But I do khan academy too. I actually also did think academy before but it wasn't too useful...
This post has been edited 1 time. Last edited by JerryZYang, Apr 9, 2025, 5:08 PM
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luciazhu1105
15 posts
luciazhu1105
#12 h  Apr 9, 2025, 10:20 PM • 1 Y
Y by MathDolphin95
I like aops and beast academy along with. khan academy, but if ur doing less complex math, prodigy is really fun but I would do research and see what works for u
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acuL_51
7 posts
acuL_51
#13 h  Apr 9, 2025, 10:21 PM
Y by
you shouldnt be asking this on aops (;
This post has been edited 1 time. Last edited by acuL_51, Apr 9, 2025, 10:23 PM
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GYRAD0S
17 posts
GYRAD0S
#14 h  Apr 9, 2025, 11:04 PM
Y by
mathdash is also good for mock contests
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HoneyHap
3 posts
HoneyHap
#15 h  Apr 9, 2025, 11:19 PM
Y by
this website is really good for preparing for amc contests - https://math.llmlab.io/
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Cosmological_Instance
1 post
Cosmological_Instance
#16 h  Apr 9, 2025, 11:23 PM
Y by
MITx provides adequate course material pertaining to college level mathematics in calculus, statistics, and physics.
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ObiWanKenoblowin
12 posts
ObiWanKenoblowin
#17 h  Apr 10, 2025, 2:00 PM
Y by
Math for dummies textbook series heard it’s real good
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Inaaya
269 posts
Inaaya
#18 h  Apr 10, 2025, 2:08 PM
Y by
ObiWanKenoblowin wrote:
Math for dummies textbook series heard it’s real good

standard common core curriculum sucks compared to AoPS
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Soupboy0
334 posts
Soupboy0
#19 h  Apr 10, 2025, 2:09 PM • 1 Y
Y by jkim0656
common core:
day 1 - today were learning linear equations!
day 40 - still learning linear equations
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Inaaya
269 posts
Inaaya
#20 h  Apr 10, 2025, 2:12 PM
Y by
Soupboy0 wrote:
common core:
day 1 - today were learning linear equations!
day 40 - still learning linear equations

FR
*singapore math flashbacks*
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idk12345678
374 posts
idk12345678
#21 h  Apr 10, 2025, 2:14 PM
Y by
ObiWanKenoblowin wrote:
Math for dummies textbook series heard it’s real good

i skipped ab calc cuz of calc for dummies, its rlly good
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jkim0656
844 posts
jkim0656
#22 h  Apr 11, 2025, 4:12 AM
Y by
Soupboy0 wrote:
common core:
day 1 - today were learning linear equations!
day 40 - still learning linear equations

So real lol
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RedChameleon
1245 posts
RedChameleon
#23 h  Apr 13, 2025, 6:44 AM • 1 Y
Y by GodGodGodGodGoose
Soupboy0 wrote:
common core:
day 1 - today were learning linear equations!
day 40 - still learning linear equations

where's day 400
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sadas123
1231 posts
sadas123
#24 h  Apr 13, 2025, 2:15 PM • 1 Y
Y by MathDolphin95
Alcumus is the best website.
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bibidi_skibidi
5 posts
bibidi_skibidi
#25 h  Apr 15, 2025, 4:06 AM
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sadas123 wrote:
Alcumus is the best website.

What is Alcumus? I can't seem to find a separate site for it.
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A_Crabby_Crab
2384 posts
A_Crabby_Crab
#26 h  Apr 15, 2025, 9:47 AM
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This is Alcumus:

https://artofproblemsolving.com/alcumus
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K1mchi_
65 posts
K1mchi_
#27 h  Apr 15, 2025, 1:04 PM
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just grind khan or smth i rlly dont use any math websites
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FabulousSpider24
68 posts
FabulousSpider24
#28 h  Today at 2:01 AM • 1 Y
Y by MathDolphin95
You're on the best website there is to learn math...Khan Academy is a distant 2nd and BA is good too but it only goes to 5th grade stuff
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Muu9
103 posts
Muu9
#29 h  Today at 5:44 AM
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MIT for calculus:

https://ocw.mit.edu/courses/res-18-005-highlights-of-calculus-spring-2010/ (you don't need to have completed precalculus to watch this)

https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/
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Andrew2019
2270 posts
Andrew2019
#30 h  Today at 5:50 AM
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is mathdash good? everyone talks about it but i tried it and it's basically alcumus with a timer. haven't tried any mocks there ye
This post has been edited 1 time. Last edited by Andrew2019, Today at 5:51 AM
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