List questions from recreational-mathematics

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How can I solve an Euler-Lagrange equation that satisfies certain conditions

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A problem about symmetric relations on finite sets.

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How to Construct orthogonal circles?

$4494410$ and friends

Problem with probability

What is the most mathematically sound way to define the "damage per second" for a weapon?

What is the difference in chance, based on foreknowledge of the resolution?

What is the max single day score on jeopardy?

Correct Path To Castle Riddle

Conjecture I came up with

Given $n+1\mid2\sum_{k=1}^{n}{a_k}$, find $a_k$.

Upside down bell shaped graph moving with respect to $x$ axis

Why does a Penrose Stair seem to be correct?

Number theory fun problem

How can I solve an Euler-Lagrange equation that satisfies certain conditions

Are $4ab\pm 1 $ and $(4a^2\pm 1)^2$ coprime?

A problem about symmetric relations on finite sets.

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