
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
Given the following seven algebraic expressions: $-2a$, $3ab^{2}$, $\frac{2}{3}$, $3a^{2}b$, $-3a^{3}$, $5^{2}$, $-\frac{3b}{4}$, please classify them as follows:<br/>$(1)$ Divide them into two categories, the classification method is: <bdo class="mathjye-underline">dividing into those with letters and those without letters</bdo>.<br/>Among them, those with letters are: ______;<br/>Those without letters are: ______;<br/>$(2)$ Imitate the classification method in $(1)$:<br/>Divide them into three categories, the classification method is: ______;<br/>Among them, ______;<br/>______; ______.

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