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BIG-Bench Extra Hard (BBEH) / Let the answer to Question1 be X/Y/Z.

Problem

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input

Let the answer to Question1 be X/Y/Z.

Question1: If the current date is Mar 26, 2011, what is the date 350 days before now? Your answer should be the date in the mm/dd/yyyy format (for example, 06/23/2021).

Let X' = X + 41.

Let the answer to Question2 be P.

Question2: If today is Friday, what day of the week was it X' days before now? Your answer should be the day of the week (for example, Sunday).

Let Y' = Y + 12 and let P' be the day of the week 57 days after P.

Let the answer to Question3 be Q.

Question3: If it is 08:46 PM on P' , what is the day Y' hours from now? If the information provided is not enough to calculate the answer, or if there is more than one possible answer, reply with unanswerable.

Let Z' = Z - 1977 and let Q' be the day of the week 23 days after Q.

Use these values to solve Question4.

Question4: On a Q' before noon, Fred started studying and studied Z' hours non-stop. What day(s) of the week could it be when Fred finished studying? Your answer should be an ordered list with alphabetically ordered items (for example, [answer1, answer2, ...]).

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