Example of a Multi-Step Arithmetic Word Problem (Swimming Pool)
An example of a mathematical word problem for a Large Language Model involves a multi-step reasoning process. The task is to first calculate the volume of a swimming pool with dimensions of meters in length, meters in width, and meters in depth. The second step requires converting this volume from cubic meters (m) to liters, applying the conversion rate where m equals liters.
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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
Related
Example of a Probability-Based Word Problem for LLMs
Example of a Multi-Step Arithmetic Word Problem (Swimming Pool)
Example of a Mathematical Reasoning Word Problem (Jessica's Apps)
Example of a Multi-Step Arithmetic Word Problem (Tom's Marbles)
A large language model was given the following word problem: 'A bakery had 20 muffins. They sold 12 muffins and then baked 3 dozen more. How many muffins does the bakery have now?' The model produced this response: 'First, we start with 20 muffins. They sold 12, so 20 - 12 = 8. Then they baked 3 more, so 8 + 3 = 11. The final answer is 11.' Which statement best analyzes the primary reasoning failure in the model's response?
Chain-of-Thought (COT) Prompting
Example of a Multi-Step Arithmetic Word Problem (Jack's Apples)
Evaluating LLM Arithmetic Inference
A language model is tasked with solving arithmetic word problems. Below are common types of errors it might make when translating language into a sequence of mathematical operations. Match each error type with the scenario that best exemplifies it.
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
Learn After
Step 1: Calculating the Pool's Volume Using a Tool
A company needs to ship a product in a rectangular box that is 60 cm long, 20 cm wide, and 30 cm high. The shipping cost is based on the volume in liters. Given that 1 liter is equal to 1000 cubic centimeters, which of the following expressions correctly represents the sequence of calculations required to find the box's volume in liters?
A rectangular fish tank is 50 cm long, 30 cm wide, and 40 cm high. To treat the water, a chemical must be added at a rate of 5 milliliters per liter of water (note: 1000 cubic centimeters = 1 liter). Arrange the steps below in the correct logical order to determine the total amount of chemical needed.
Analyzing AI Reasoning in a Multi-Step Problem