
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
(1) In the expansion of $(1-x)^5 + (1-x)^6 + (1-x)^7 + (1-x)^8$, find the coefficient of the term containing $x^3$;  
(2) If in the expansion of $(2-x)^6$, the second term is less than the first term but not less than the third term, find the range of values for $x$.

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