
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 $(1-2x)^{5}={a}_{0}+{a}_{1}x+{a}_{2}{x}^{2}+{a}_{3}{x}^{3}+{a}_{4}{x}^{4}+{a}_{5}{x}^{5}$,

(1) Find ${a}_{0}$;

(2) Find ${a}_{1}+{a}_{2}+{a}_{3}+{a}_{4}+{a}_{5}$;

(3) Find ${a}_{1}+{a}_{3}+{a}_{5}$;

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