Math 67
Let a be any nonnegative integer. Every second, if a is odd, I replace a with 3a+1. If a is even, I replace a with a/2. Find the smallest possible value of a such that repeating this process does not result in the loop of a between the values of 4, 2, and 1.
0 (it is a fixed point).
OpenPOTD dools
The name of the mop ski presentation that was not presented before the end of mop.
mop ski 2
And he sacrifices:
THE ROOK!!!
The full name of the summer program hosted at Aurora, Illinois between June 11, 2025 and July 2, 2025. This was denoted by name tags handed out at the time.
Math Olympiad Summer Program
When you have JKo in poker, the most auraful move is to
go all in
Find the number of ordered positive integer pairs (a,b) satisfying 1/((a-3)(b-3))=1/(a-3)+1/(b-3)
4
the pairs are (1,6),(2,5),(5,2),(6,1)
original ig ?
CHALLENGE!!! - play chess, 200
How many distinct pieces exist in a game of chess?
12 (white/black pieces are distinct)
CHALLENGE!!! - mop ski, 200
Jat and Oreo are placed at the center of the two squares of a chessboard in slide 5 of the mop ski presentation. Find the square of the distance, in chessboard units, from Jat to Oreo
32+62=45
(Oreo is on a5, Jat is on g8)
CHALLENGE!!! - all in, 200
At camp, pair aces lost to this hand (ignore suit):
six seven
CHALLENGE!!! - camp, 200
This song became a widespread meme at camp.
Combination pizza hut and taco bell
In how many ways can you seat 14 members of ct17 in 34 seats such that no two people are adjacent to prevent PDA? You may answer this question in ARML conventions.
34 choose 14
contest 51, emerald-diamond division
Name the four red points in the config geo of mop ski 1. (Unless they are A, B, or C, they are more than one letter).
Incenter, Arc midpoint on arc BC, A-sharkydevil point, A
Find the value of my lichess.org blitz rating. Do not use any computational aids or the internet.
1984
Details of this round of Jeopardy (daily double):
Some of the questions are jumbled up! HELP!!!!!!! They are jumbled up in a certain shape.
In what shape do the ones that are not jumbled up form?
E
CHALLENGE!!! - camp, 300
This TSTST problem was solved by 8 people, including me.
2025 TSTST 3
Factor abc(a3+b3+c3)-a3b3-a3c3-b3c3
(a2-bc)(b2-ac)(c2-ab)
AoPS factoring marathon
CHALLENGE!!! - play chess, 400
I gain a rating type when I play one time control, and lose a rating type when I play the other time control. Name both the rating type and the two time controls, not necessarily in order.
You may refer to the home page of lichess.org for common time controls.
Bullet, 1+0, 2+1 (can be swapped)
CHALLENGE!!! - mop ski, 400
What is the final line of the mop ski slideshow?
I admit orz
Details about this round of Jeopardy:
Name the multiset of the number of problems in each category.
{2,3,5,5,5,5}
CHALLENGE!!! - camp, 400
What were the medals that the country of Xooks earned at the 2025 EL(S)MO?
Triangle ABC has sides AB=14, AC=34, and BC=24. F is the Feuerbach point of triangle ABC, and D is the foot of the altitude from A to BC. AF intersects BC at P. Find the square of the area of of triangle PDA.
29700
plank countdown at MOP
The number theory slide on mop ski is titled (and themed aroudn) various forms of this.
ski lifting
The maximum number of bishops that can be placed on a chessboard of side length n such that none of them attack each other.
2n-2
John Berman, the director of this camp, told us to say this phrase if we didn't know what the other guy was saying.
"Can you please explain this to me at a lower level?"
The name of the final level of Starcraft II: Wings of Liberty.
(This is not the secret level)
All In