
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 number of integer values of \( x \) such that \( Q = x^4 + 4x^3 + 6x^2 - x + 41 \) is the square of an integer.
A) 4  
B) 3  
C) 2  
D) 1  
E) 0

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