
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
Calculate:

1. $4y \cdot (-2xy^{2})$
2. $(-\frac{5}{2}x^{2}) \cdot (-4x)$
3. $(3m^{2}) \cdot (-2m^{3})^{2}$
4. $(-ab^{2}c^{3})^{2} \cdot (-a^{2}b)^{3}$

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