
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
(1) Simplify: 5(2x^3y+3xy^2)-(6xy^2-3x^3y)
(2) Simplify and evaluate: Given a+b=9 and ab=20, find the value of $\frac {2}{3}$(-15a+3ab)+$\frac {1}{5}$(2ab-10a)-4(ab+3b).

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