1Cademy - Consider the following problem, which is an example from a benchmark designed to test the reasoning capabilities of advanced AI models:<br><br>A mathematical structure is defined by the set of all integers and an operation `*` such that for any two integers `a` and `b`, `a * b = a + b + 1`. This structure forms a group. What is the inverse of an element `a` within this group?

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Example of an MMLU Question (Abstract Algebra)

Multiple Choice

Consider the following problem, which is an example from a benchmark designed to test the reasoning capabilities of advanced AI models:

A mathematical structure is defined by the set of all integers and an operation * such that for any two integers a and b, a * b = a + b + 1. This structure forms a group. What is the inverse of an element a within this group?

Updated 2025-10-04

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