
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 a set of data comprising of 4, 7, 10, s, and t, the average is 7 and n is the median of this data set. Let $f(x)=( \frac {1}{x}-x^{2})^{n}$.  
(1) Find the coefficient of the $x^{-1}$ term in the expansion of $f(x)$.  
(2) Find the term with the largest coefficient and the term with the smallest coefficient in the expansion of $f(x)$.

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