
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
The polynomial $x^{10} - 1$ is factored as
\[x^{10} - 1 = q_1(x) q_2(x) \dotsm q_m(x),\]where each factor $q_i(x)$ is a non-constant polynomial with real coefficients. Find the largest possible value of $m.$

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