
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
Given the function $f(x) = \begin{cases} 2^{x-1} - 2, & x \leqslant 1 \\ -\log_{2}(x+1), & x > 1 \end{cases}$, and $f(a) = -3$, find $f(6 - a)$.

A) $-\frac{7}{4}$
B) $-\frac{5}{4}$
C) $-\frac{3}{4}$
D) $-\frac{1}{4}$

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