
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
Let  $f$  be a function such that  $f(0)=1$ ,  $f^\prime (0)=2$ , and \[f^{\prime\prime}(t)=4f^\prime(t)-3f(t)+1\] for all  $t$ .  Compute the  $4$ th derivative of  $f$ , evaluated at  $0$ .

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