
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
$x$ is a positive rational number, and $(x)$ represents the number of prime numbers less than or equal to $x$. For instance, $(5)=3$, meaning there are three prime numbers (2, 3, and 5) less than or equal to 5. Thus, $(x)$ defines an operation on $x$. Find the value of $((20) \times (1) + (7))$.

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