
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
The school library has a standard of lending out 50 books per day. The excess is represented by positive numbers, and the shortfall is represented by negative numbers. The book lending records of the library last week are as follows:

| Monday | Tuesday | Wednesday | Thursday | Friday |
|--------|---------|-----------|----------|--------|
| 0      | +8      | +6        | -3       | -7     |

$(1)$ The library lent out ______ books on Friday;<br/>
$(2)$ The library lent out ______ more books on Tuesday than on Thursday;<br/>
$(3)$ How many books were lent out in total during these five days?

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