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This technique integrates an external calculator during the prediction phase to improve the arithmetic accuracy of Large Language Models. The calculator is activated when the model generates output enclosed in specific annotation symbols, such as `≪ ... ≫`. Within these annotated sections, the presence of an equals sign (`=`) signals the calculator to evaluate the expression preceding it, thereby offloading the computation and reducing the likelihood of errors.

Triggering an External Calculator with Calculation Annotation

A developer is testing a new AI model integrated with an external calculator. The system is designed to trigger the calculator only when it encounters a mathematical expression enclosed in `≪...≫` that also contains an equals sign (`=`) to signal the end of the expression to be evaluated. The developer gives the model a word problem, and it generates three different potential responses. Evaluate each response below and explain why it would or would not successfully trigger the external calculator according to the specified rule.

Debugging an LLM's Arithmetic Process

A large language model is designed to improve its arithmetic accuracy by using an external calculator. The calculator is activated when the model generates text enclosed in `≪ ... ≫` symbols. Within these symbols, an equals sign (`=`) must be present to signal the tool to evaluate the expression that comes before it.

Your task is to solve the following problem as if you were the language model. Write the exact string the model should generate to calculate the total cost of 5 apples that cost $0.75 each. Your response should show only the calculation step that would be sent to the external tool.

Constructing a Calculation-Enabled Model Output

A large language model is configured to offload arithmetic to an external tool. The tool is activated only when it detects an expression enclosed in `≪...≫` that is immediately followed by an equals sign (`=`). Given this rule, analyze the following model outputs and identify which one would successfully trigger the external tool to perform the calculation.

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