
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 \( f(0) = 1 \), \( f'(0) = 2 \), and
\[ f''(t) = 4 f'(t) - 3 f(t) + 1 \]
for all \( t \). Compute the 4th derivative of \( f \), evaluated at 0.

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