
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
Consider a function  $f:\mathbb{R} \to \mathbb{R}$ . Given that  $f(0)=0$ .  $\lim_{x\to0} \frac{f(h)}{h}=7$ , and  $f(x+y)=f(x)+f(y)+3xy$  for all  $x,y\in{\mathbb{R}}$ . Compute  $f(7)$ 

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