
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
If a polynomial with real coefficients of degree  $d$  has at least  $d$  coefficients equal to  $1$  and has  $d$  real roots, what is the maximum possible value of  $d$ ?

(Note: The roots of the polynomial do not have to be different from each other.)

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