MIRA-Math Benchmarks LLM Information Requesting and Math Reasoning

Charbel Al Bateh, Samer Saab Jr· July 9, 2026 View original

Summary

MIRA-Math is a new benchmark designed to evaluate LLMs' ability to solve mathematical problems by requesting exactly one missing atomic fact in natural language under a strict budget. It isolates the diagnostic capability of minimal information requesting from other interactive reasoning components.

Existing mathematical reasoning benchmarks for Large Language Models typically provide all necessary information upfront, while interactive benchmarks often conflate reasoning with tool use, retrieval, and complex dialogue. A new benchmark, MIRA-Math, has been introduced to specifically test a narrower, yet crucial, diagnostic capability: solving math problems where only one essential piece of information is missing. In MIRA-Math, an LLM solver must identify the single missing atomic fact, request it in natural language within a budget, and then integrate the provided fact to arrive at an exact final answer. A constrained LLM responder provides the exact fact only if the request matches precisely, ensuring deterministic validation. This setup allows for precise measurement of information requesting success and subsequent computational accuracy. The benchmark comprises 2,310 generated instances across 22 mathematical families, including algebra, probability, and discrete structures. Initial experiments with various models show that the ability to correctly request information is distinct from the ability to perform the downstream calculation, highlighting separate areas for model improvement. The release includes generators, verifiers, and prompts to foster reproducible research in this area.

Why it matters

For professionals developing or deploying AI systems that need to interactively solve problems or gather information, understanding an LLM's ability to precisely identify and request missing facts is crucial for building efficient and reliable agents.

How to implement this in your domain

  1. 1Evaluate your current LLM agents' performance on tasks requiring information retrieval and integration, noting instances of over-requesting or incorrect requests.
  2. 2Consider using benchmarks like MIRA-Math to specifically test and improve the "minimal information requesting" capability of your models.
  3. 3Develop prompt engineering strategies that encourage LLMs to identify and articulate precise information needs before attempting a solution.
  4. 4Design agentic workflows where LLMs are explicitly tasked with identifying knowledge gaps and formulating targeted queries.
  5. 5Integrate feedback loops to refine an agent's ability to request information based on the quality and relevance of the facts received.

Who benefits

Software DevelopmentEducationResearchData Science

Key takeaways

  • MIRA-Math benchmarks LLMs' ability to request minimal missing information for math problems.
  • It isolates information requesting from other interactive reasoning components.
  • Models can succeed at requesting but fail at subsequent computation, or vice versa.
  • The benchmark provides tools for reproducible evaluation of this capability.

Original post by Charbel Al Bateh, Samer Saab Jr

"arXiv:2607.07391v1 Announce Type: new Abstract: Mathematical reasoning benchmarks typically provide all facts needed to solve each problem, while interactive benchmarks often mix reasoning with tools, retrieval, and long-horizon dialogue. We introduce MIRA-Math, a benchmark for a…"

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Originally posted by Charbel Al Bateh, Samer Saab Jr on X · view source

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