
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
Find the set of values of \( m \) for which the polynomial \( x^2 + 4xy - x + 2my + m \) can be factored into two linear factors with integer coefficients.
A) \( 0, \pm 1 \)
B) \( 0, 1 \)
C) \( \pm 1 \)
D) \( 0 \)
E) None of the above

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