
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 the curve $f(x)= \frac{1}{a\ln (x+1)}(e-1 < x < e^{2}-1)$ and $g(x)=-x^{3}+x^{2}(x < 0)$, determine the range of values for the real number $a$.

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