Let a_n = 6^n + 8^n. Determine the remainder when dividing a_{83} by 49.
Strawberry这个单词里面有几个字母R?
Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.
Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $100$, inclusive, such that $12x^{2}-xy-6y^{2}=0$.
这个模型主要为数学推理而开发。
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