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2025 SSMO Team Round Problems/Problem 2

Revision as of 11:30, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Nonnegative integers <math>a</math> and <math>b</math> satisfy <math>a!+b^4 = 16a+41</math>. Find the sum of all possible values of <math>b</math>. ==Solution==")
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Problem

Nonnegative integers $a$ and $b$ satisfy $a!+b^4 = 16a+41$. Find the sum of all possible values of $b$.

Solution

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