
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
The polar coordinate equation of curve C is given by C: ρ² = $\frac{12}{5 - \cos(2\theta)}$, and the parametric equations of line l are given by $\begin{cases} x = 1 + \frac{\sqrt{2}}{2}t \\ y = \frac{\sqrt{2}}{2}t \end{cases}$ (where t is the parameter).

1. Write the rectangular coordinate equation of C and the standard equation of l.
2. Line l intersects curve C at two points A and B. Let point M be (0, -1). Calculate the value of $\frac{|MA| + |MB|}{|MA| \cdot |MB|}$.

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