GSM8K.

A benchmark dataset of 8,500 grade-school math word problems that tests language models' ability to perform multi-step arithmetic reasoning.

GSM8K (Grade School Math 8K) is a widely-used benchmark dataset consisting of 8,500 linguistically diverse grade school math word problems that require multi-step reasoning to solve. Created by OpenAI, this benchmark has become a standard evaluation metric for measuring language models' mathematical reasoning capabilities, as it tests not just arithmetic computation but the ability to break down complex problems into logical steps. The problems are designed to be solvable by a bright middle school student and typically involve real-world scenarios like calculating costs, distances, or quantities through multiple operations.

The benchmark is structured with 7,473 training problems and 1,319 test problems, each requiring between 2 to 8 steps to reach the correct numerical answer. Unlike simple arithmetic tasks, GSM8K problems are presented as natural language word problems that require reading comprehension, problem decomposition, and sequential reasoning. The problems cover various mathematical concepts including basic arithmetic, percentages, ratios, and simple algebra, but are carefully designed to avoid requiring advanced mathematical knowledge beyond elementary concepts. Solutions are evaluated based on the final numerical answer, though the reasoning process leading to that answer is equally important for understanding model capabilities.

GSM8K has revealed significant insights about language model capabilities and limitations, showing that larger models generally perform better but that mathematical reasoning remains challenging even for advanced systems. The benchmark has driven development of reasoning-focused techniques like chain-of-thought prompting and has become a key metric in model comparisons and research papers. However, some researchers note potential limitations including the risk of test set contamination in training data and questions about whether performance on grade-school problems truly reflects broader mathematical reasoning abilities, leading to the development of more advanced mathematical benchmarks for comprehensive evaluation.