
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
Find the equations of the tangent lines to the given curves at the specified points.

1. Given the curve $y=x^{3}+3x^{2}+6x-10$, at the point $(-1,-14)$.
2. Given the curve $y=x- \frac {1}{x}$, at the point $(1,0)$.
3. Given the curve $y= \frac {2\ln x+1}{x}$, at the point $(1,1)$.

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