
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 bases \( b \) the number \( 144_b \), written in base \( b \), represents the square of an integer.
A) \( b = 10 \) only
B) \( b > 4 \)
C) \( 2 \leq b \leq 10 \)
D) \( b = 4 \) and \( b = 5 \) only
E) No value of \( b \)

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