
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

On the sides $AD$ and $CD$ of parallelogram $ABCD$, points $M$ and $N$ are located respectively, such that $AM:MD=2:7$ and $CN:ND=3:5$. The lines $CM$ and $BN$ intersect at point $O$. Find the ratios $ON:OB$ and $OC:OM$.

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