
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]


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Let  $f : R \to R$  be a function satisfying the equation  $f(x^2 + x + 3) + 2f(x^2 - 3x + 5) =6x^2 - 10x + 17$  for all real numbers  $x$ . What is the value of  $f(85)$ ?

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