
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 $(2x-1)^{5}=a\_{0}+a\_{1}x+a\_{2}x^{2}+…+a\_{5}x^{5}$, find the values of:

(1) $a\_{0}+a\_{1}+a\_{2}+a\_{3}+a\_{4}$,

(2) $|a\_{0}|+|a\_{1}|+|a\_{2}|+|a\_{3}|+|a\_{4}|+|a\_{5}|$,

(3) $a\_{1}+a\_{3}+a\_{5}$,

(4) $(a\_{0}+a\_{2}+a\_{4})^{2}-(a\_{1}+a\_{3}+a\_{5})^{2}$.

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