
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 that the sum of the binomial coefficients in the expansion of $f(x) = (2x - 3)^n$ is $64$, and $(2x - 3)^n = a\_0 + a\_1(x - 1) + a\_2(x - 1)^2 + ... + a\_n(x - 1)^n$.

1. Find the value of $a\_2$. (Answer with a number)
2. Find the value of $|a\_0| + |a\_1| + |a\_2| + |a\_3| + ... + |a\_n|$. (Answer with a number)

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