
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 for which integral base $b$, the number $144_b$ is the square of an integer.
A) b = 5 only
B) b = 10 only
C) 5 ≤ b ≤ 10
D) b > 4
E) No value of b

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