
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
Find integers $b_{2}, b_{3}, b_{4}, b_{5}$ such that
\[
\frac{3}{5} = \frac {b_2}{2!} + \frac {b_3}{3!} + \frac {b_4}{4!} + \frac {b_5}{5!}
\]
where $0\leq b_i < i$ for $i = 2,3,4,5$.
A) 3
B) 4
C) 5
D) 6

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