
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 the following:<br/>$(1)\left(-36\right)\times (\frac{5}{4}-\frac{5}{6}-\frac{11}{12})$<br/>$(2)\left(-2\right)^{2}-3\times \left(-1\right)^{3}+0\times \left(-2\right)^{3}$<br/>$(3)$ Simplify first, then evaluate: $3x^{2}y-2xy^{2}-\frac{3}{2}(x^{2}y-2xy^{2})$, where $x=-2$ and $y=\frac{1}{2}$

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