
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
The function is defined as $f(x)=\begin{cases} & 3x-b,x < 1 \\ & {{2}^{x}},x\geqslant 1 \\end{cases}$, find the value of $b$ if $f(f(\dfrac{5}{6}))=4$.

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