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Design an LLM math-solving chain

Last updated: Mar 29, 2026

Quick Overview

This question evaluates a candidate's ability to design LLM-driven arithmetic solving pipelines, covering decision policies for direct answers versus formula application versus code execution, orchestration and routing logic, tool integration and validation, prompting strategy, safety guardrails, evaluation metrics, and experiment tracking.

  • hard
  • Tesla
  • ML System Design
  • Machine Learning Engineer

Design an LLM math-solving chain

Company: Tesla

Role: Machine Learning Engineer

Category: ML System Design

Difficulty: hard

Interview Round: Onsite

Design an LLM-based system to solve arithmetic problems ranging from simple expressions (e.g., 4 + 5) to tasks like computing the sum from 1 to 100. How would you decide when to answer directly versus invoking formulas or executing code? Describe the chain logic, tool usage (e.g., calculator, Python), prompting strategy, guardrails, and how you would evaluate accuracy, handle errors, and track experiments.

Quick Answer: This question evaluates a candidate's ability to design LLM-driven arithmetic solving pipelines, covering decision policies for direct answers versus formula application versus code execution, orchestration and routing logic, tool integration and validation, prompting strategy, safety guardrails, evaluation metrics, and experiment tracking.

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Design an LLM-Based Arithmetic Solver

Context

You are building an LLM-driven service that answers arithmetic questions ranging from simple expressions (e.g., 4 + 5) to queries like compute the sum from 1 to 100. The system must choose among answering directly, applying closed-form formulas, or executing code in a sandbox.

Requirements

  1. Decision policy: when to answer directly vs use formulas vs run code (e.g., calculator, Python). Explain latency and accuracy trade-offs.
  2. Chain logic: orchestration steps, routing, verification, and fallbacks.
  3. Tool usage: which tools are available, how they are called, and how results are validated.
  4. Prompting strategy: router prompts, solver prompts, output schema, and how to avoid leaking chain-of-thought.
  5. Guardrails: safety, precision, ambiguity handling, timeouts, and injection defenses.
  6. Evaluation: how to measure accuracy, test coverage, and reliability; how to handle errors and retries.
  7. Experiment tracking: how you will version datasets, prompts, policies, and record metrics.

Provide concrete examples using 4 + 5 and sum from 1 to 100.

Solution

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