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dj so orz
by
Yiyj1, Mar 29, 2025, 1:42 AM
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legendary problem writer
by
Clew28, Jul 29, 2024, 7:20 PM
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orz
by
balllightning37, Jul 26, 2024, 1:05 AM
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hi dj
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OronSH, Jul 23, 2024, 2:14 AM
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i wanna submit my own problems lol
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ethanzhang1001, Jul 20, 2024, 9:54 PM
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hi dj, may i have the role of contributer?
by
lpieleanu, Feb 23, 2024, 1:31 AM
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This was helpful!
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YIYI-JP, Nov 23, 2023, 12:42 PM
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waiting for a recap of your amc proposals for this year
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ihatemath123, Feb 17, 2023, 3:18 PM
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also happy late bday man! i missed it by 2 days but hope you are enjoyed it
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ab456, Dec 30, 2022, 10:58 AM
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Contrib?
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MC413551, Nov 20, 2022, 10:48 PM
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tfw kakuro appears on amc
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bissue, Aug 18, 2022, 4:32 PM
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Hi dj
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799786, Aug 10, 2022, 1:44 AM
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Roses are red,
Wolfram is banned,
The best problem writer is
Djmathman
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ihatemath123, Aug 6, 2022, 12:19 AM
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hello
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aidan0626, Jul 26, 2022, 5:49 PM
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Do you have a link to your main blog that you started after graduating from high school, I couldn't find it. @dj I met you IRL at Awesome Math summer Program several years ago.
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First, Mar 1, 2022, 5:18 PM
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how did you do that cursor
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mathgenius64, Sep 1, 2011, 10:14 PM
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Finally posted that problem! And hooray for pencil cursor!
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djmathman, Aug 24, 2011, 6:49 PM
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Geo 2 is correct though
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sjaelee, Aug 24, 2011, 12:21 AM
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Hello...Lol yesterday sjaelee posted Geomretry #2. Isn't it supposed to be Geometry #2? Lol.
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mcqueen, Aug 23, 2011, 11:57 PM
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Delete geo #4! Plese!
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sjaelee, Aug 22, 2011, 11:41 PM
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Hrm, there's this problem that I've been too lazy to post. I think I should soon.
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djmathman, Aug 22, 2011, 7:02 PM
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Why hello...funny I'm saying this when I know you'll be unresponsive because you're V/LA for a week.
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mcqueen, Aug 14, 2011, 10:47 AM
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But that's because those problems are the easiest to find.
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djmathman, Aug 12, 2011, 3:49 AM
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Yea, I kind of keep forgetting to change that.
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djmathman, Aug 11, 2011, 11:27 AM
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I noticed that only algebra and number theory come up
(trig was basically algebra)
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sjaelee, Aug 11, 2011, 11:22 AM
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There you go.
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djmathman, Aug 7, 2011, 2:07 PM
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*cough* contrib
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Mrdavid445, Aug 7, 2011, 12:40 PM
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Ah, i'm sure you will use this blog well.
by
tc1729, Aug 7, 2011, 2:10 AM
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First shout!
by
djmathman, Aug 5, 2011, 6:58 PM
by djmathman, Feb 16, 2018, 6:46 PM 
, 
, and 
each have radius 
and are placed in the plane so that each circle is externally tangent to the other two. Points 
, 
, and 
lie on 
and line 
is tangent to 
for each 
, where 
. See the figure below. The area of 
can be written in the form 
for positive integers 
and 
. What is 
?![[asy]
unitsize(12);
pair A = (0, 8/sqrt(3)), B = rotate(-120)*A, C = rotate(120)*A;
real theta = 41.5;
pair P1 = rotate(theta)*(2+2*sqrt(7/3), 0), P2 = rotate(-120)*P1, P3 = rotate(120)*P1;
filldraw(P1--P2--P3--cycle, gray(0.9));
draw(Circle(A, 4));
draw(Circle(B, 4));
draw(Circle(C, 4));
dot(P1);
dot(P2);
dot(P3);
defaultpen(fontsize(10pt));
label("$P_1$", P1, E*1.5);
label("$P_2$", P2, SW*1.5);
label("$P_3$", P3, N);
label("$\omega_1$", A, W*17);
label("$\omega_2$", B, E*17);
label("$\omega_3$", C, W*17);
[/asy]](//latex.artofproblemsolving.com/b/d/1/bd1c789af733f623292d1d6f274069746386bcdc.png)
, 
, and 
each have radius 
and are placed in the plane so that each circle is externally tangent to the other two. Points 
, 
, and 
lie on 
and line 
is tangent to 
for each 
, where 
. See the figure below. The area of 
can be written in the form 
for positive integers 
and 
. What is 
?![[asy]
unitsize(12);
pair A = (0, 8/sqrt(3)), B = rotate(-120)*A, C = rotate(120)*A;
real theta = 41.5;
pair P1 = rotate(theta)*(2+2*sqrt(7/3), 0), P2 = rotate(-120)*P1, P3 = rotate(120)*P1;
filldraw(P1--P2--P3--cycle, gray(0.9));
draw(Circle(A, 4));
draw(Circle(B, 4));
draw(Circle(C, 4));
dot(P1);
dot(P2);
dot(P3);
defaultpen(fontsize(10pt));
label("$P_1$", P1, E*1.5);
label("$P_2$", P2, SW*1.5);
label("$P_3$", P3, N);
label("$\omega_1$", A, W*17);
label("$\omega_2$", B, E*17);
label("$\omega_3$", C, W*17);
[/asy]](http://latex.artofproblemsolving.com/b/d/1/bd1c789af733f623292d1d6f274069746386bcdc.png)
April 2025
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