
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
We can split $1$ as follows: $1= \frac {1}{2}+ \frac {1}{3}+ \frac {1}{6}$, $1= \frac {1}{2}+ \frac {1}{4}+ \frac {1}{6}+ \frac {1}{12}$, $1= \frac {1}{2}+ \frac {1}{5}+ \frac {1}{6}+ \frac {1}{12}+ \frac {1}{20}$, and so on. We can obtain: $1= \frac {1}{2}+ \frac {1}{6}+ \frac {1}{12}+ \frac {1}{m}+ \frac {1}{20}+ \frac {1}{n}+ \frac {1}{42}+ \frac {1}{56}+ \frac {1}{72}+ \frac {1}{90}+ \frac {1}{110}+ \frac {1}{132}+ \frac {1}{156}$, where $m$, $n \in \mathbb{N}^{*}$, and $m < n$. Determine the range of the function $y= \frac {(m+n)x}{x-1}$.

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