
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 real numbers $a$, $b$, $c$, $d$, $e$, $f$, where $a$ and $b$ are reciprocals, $c$ and $d$ are opposites, the absolute value of $e$ is $\sqrt{2}$, and the square root of $f$ is $8$, find the value of $\frac{1}{2}ab+\frac{c+d}{5}+e^{2}+\sqrt[3]{f}$.

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