
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
What is the maximum possible value for the sum of the squares of the roots of  $x^4+ax^3+bx^2+cx+d$  where  $a$ ,  $b$ ,  $c$ , and  $d$  are  $2$ ,  $0$ ,  $1$ , and  $7$  in some order?

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