
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Determine the bases $b$ for which the number $204_b$, in the integral base $b$, is a square of an integer.
A) $b=4$ only
B) $b=6$ and $b=8$ only
C) $b=4, 6, 8, 10$
D) $b > 4$
E) None of these

Present the answer in LaTex format: \boxed{Your answer}
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