Example of a Mathematical Reasoning Task for LLMs
An example of a mathematical reasoning task that can be presented to a Large Language Model is to first sum two given numbers and then divide that sum by the product of the same two numbers.
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Ch.3 Prompting - Foundations of Large Language Models
Foundations of Large Language Models
Computing Sciences
Foundations of Large Language Models Course
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Example of a Mathematical Reasoning Task for LLMs
Constructing a Few-Shot Prompt for Multi-Step Reasoning
A developer is prompting a large language model to solve multi-step logic puzzles. They are comparing two few-shot prompting strategies. Strategy A provides examples showing only the puzzle and the final answer. Strategy B provides examples showing the puzzle, a step-by-step reasoning process, and then the final answer. Which strategy is more likely to yield consistently accurate results for new, complex puzzles, and why?
Limitation of Question-Answer Pair Demonstrations in Few-Shot Prompting
Diagnosing Prompting Failures in Multi-Step Tasks
Example of a Mathematical Reasoning Task for LLMs
Analyzing LLM Capabilities in Mathematical Problem-Solving
A developer is building an application that relies on a large language model to perform precise, multi-step arithmetic calculations. They notice the model occasionally produces small, difficult-to-predict errors in its final answers. Which of the following strategies would be the most reliable way to improve the system's mathematical accuracy?
Example of a Multi-Step Arithmetic Word Problem (Swimming Pool)
LLM Mathematical Reasoning Failure Analysis
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Example of a Few-Shot Prompt for a Mathematical Reasoning Task
Analyzing a Language Model's Computational Error
A computational model is programmed to perform a specific two-step operation on a pair of numbers: first, it calculates their sum, and second, it divides that sum by their product. For which of the following input pairs would this operation be mathematically undefined?
A computational process is defined as follows: for any given pair of numbers, first calculate their sum, and then divide that sum by their product. This process will always yield the same final result regardless of which of the two numbers is considered first.