
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
A homework assignment consists of three types of questions, with a total of 100 questions. Correctly answering a true/false question earns 0.5 points, a multiple-choice question earns 3 points, and an essay question earns 10 points each. The maximum score for the assignment is 100 points. How many of each type of question are in the assignment?

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