question stringclasses 2 values | answer stringclasses 2 values |
|---|---|
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$. | 103 |
Mark writes the expression $\sqrt{\underline{a b c d}}$ on the board, where $\underline{a b c d}$ is a four-digit number and $a \neq 0$. Derek, a toddler, decides to move the $a$, changing Mark's expression to $a \sqrt{\underline{b c d}}$. Surprisingly, these two expressions are equal. Compute the only possible four-digit number $\underline{a b c d}$. | 3375 |
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