Best Models for Math

    Reasoning models for competition math, quantitative analysis, and step-by-step problem solving

    Compare
    Use Case
    Capabilities
    Provider
    Status
    Input Price ($/M tokens)
    Output Price ($/M tokens)
    Context Size (tokens)
    19
    Models
    59
    Providers
    13
    Vision Models
    19
    Tool-enabled
    0
    Free Models
    Features
    xAI
    grok-4-3
    		$1.25$2.50$0.20

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    OpenRouter
    grok-4-3
    		$1.25$2.50$0.20
    AWS Bedrock(global)
    grok-4-3
    		$1.25$2.50$0.20
    AWS Bedrock(us-west-2)
    grok-4-3
    		$1.38$2.75$0.22
    AWS Bedrock
    grok-4-3
    		$1.25$2.50$0.20
    Azure AI Foundry
    grok-4-3
    		$1.25$2.50$0.20
    AWS Bedrock(us)
    grok-4-3
    		$1.38$2.75$0.22

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    OpenRouter
    qwen3.6-max-preview
    		$1.04$6.24—
    Alibaba Cloud(singapore)
    qwen3.6-max-preview
    		$1.30$7.80$0.13

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    AvalAI
    qwen3.6-max-preview
    		$1.30$7.80$0.13
    Alibaba Cloud
    qwen3.6-max-preview
    		$1.30$7.80$0.13
    DeepInfra
    deepseek-v4-pro
    		$1.74$3.48$0.14
    Nebius AI
    deepseek-v4-pro
    		$1.75$3.50—
    Runware
    deepseek-v4-pro
    		$0.96$1.92$0.08

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    OpenRouter
    deepseek-v4-pro
    		$0.43$0.87$0.00
    Fireworks AI
    deepseek-v4-pro
    		$1.74$3.48$0.14
    Alibaba Cloud(eu-frankfurt)
    deepseek-v4-pro
    		$2.40$4.80$0.20
    CanopyWave
    deepseek-v4-pro
    		$1.74$3.48$0.01
    Alibaba Cloud(singapore)
    deepseek-v4-pro
    		$2.40$4.80$0.20
    Alibaba Cloud
    deepseek-v4-pro
    		$2.40$4.80$0.20

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    GapGPT
    deepseek-v4-pro
    		$1.74$3.48—

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    AvalAI
    deepseek-v4-pro
    		$0.43$0.87$0.00
    Together AI
    deepseek-v4-pro
    		$1.74$3.48$0.20
    DeepSeek
    deepseek-v4-pro
    		$0.43$0.87$0.00
    ByteDance
    deepseek-v4-pro
    		$1.74$3.48$0.14
    Alibaba Cloud(cn-beijing)
    deepseek-v4-pro
    		$1.65$3.30$0.14
    Alibaba Cloud(us-virginia)
    deepseek-v4-pro
    		$2.40$4.80$0.20

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    OpenRouter
    gemini-3.1-pro-preview
    		$2.00$12.00$0.20
    Iceberg
    gemini-3.1-pro-preview
    		$2.00$12.00$0.20
    Google Vertex AI
    gemini-3.1-pro-preview
    		$2.00$12.00$0.20
    Google AI Studio
    gemini-3.1-pro-preview
    		$2.00$12.00$0.20

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    Hormouz
    gemini-3.1-pro-preview
    		$2.00$12.00$0.20
    Quartz
    gemini-3.1-pro-preview
    		$2.00$12.00$0.20

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    AvalAI
    gemini-3.1-pro-preview
    		$2.00$12.00$0.83

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    Metis
    gemini-3.1-pro-preview
    		$2.00$12.00$0.20

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    GapGPT
    gemini-3.1-pro-preview
    		$2.00$12.00—
    Google AI Studio
    gemini-pro-latest
    		$2.00$12.00$0.20

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    OpenRouter
    gpt-5.5-pro
    		$30.00$180.00—
    OpenAI
    gpt-5.5-pro
    		$30.00$180.00—

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    Metis
    gpt-5.5
    		$5.00$30.00$0.50
    OpenAI
    gpt-5.5
    		$5.00$30.00$0.50

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    AvalAI
    gpt-5.5
    		$5.00$30.00$0.50

    S

    Hormouz
    gpt-5.5
    		$5.00$30.00$0.50

    S

    GapGPT
    gpt-5.5
    		$5.00$30.00$0.50

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    OpenRouter
    gpt-5.5
    		$5.00$30.00$0.50
    Azure
    gpt-5.5
    		$5.00$30.00$0.50
    Azure
    gpt-5.4-pro
    		$30.00$180.00—

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    OpenRouter
    gpt-5.4-pro
    		$30.00$180.00—
    OpenAI
    gpt-5.4-pro
    		$30.00$180.00—
    Azure
    o4-mini
    		$1.10$4.40$0.28
    Page 2 of 3

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    • GapGPT
    • DeepInfra
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    • Gonka24
    • Fireworks AI
    • RanoAI

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    Math is where reasoning models earn their keep: spending thinking tokens before answering dramatically improves accuracy on competition problems, proofs, and multi-step quantitative work. The strongest options are OpenAI's Pro-tier models, Claude Opus, and Gemini Pro — and, at a much lower price, open-weight reasoners like DeepSeek V4, Qwen's thinking models, and Xiaomi's MiMo.

    All of them are available through the same API here, so you can tune thinking budgets, compare answers across models, and route easy problems to cheap models while sending the hard ones to a Pro tier.

    Frequently asked questions

    What is the best LLM for math?

    GPT-5.5 Pro and GPT-5.4 Pro top most math evaluations, with Claude Opus 4.8 and Gemini 3.1 Pro close behind. DeepSeek V4 Pro and Qwen's 235B thinking model get remarkably close at a fraction of the cost, which makes them the default choice for high-volume math workloads.

    Do I need a reasoning model for math?

    For anything beyond arithmetic and simple algebra, yes. Reasoning models work through problems step by step before answering and are far more reliable on competition-style and multi-step problems. Most models here let you cap the thinking budget so you control cost per problem.

    Can LLMs be trusted for calculations?

    Not blindly. Models still make arithmetic slips inside otherwise-correct reasoning, so for production use pair the model with tool calling — let it call a calculator or run code — and use the LLM for setting up and interpreting the math rather than raw number crunching.

    How much do reasoning tokens cost?

    Reasoning tokens bill as output tokens, and hard problems can burn thousands of them. That's why per-token price matters double for math: DeepSeek V4 Pro at $0.87 per million output tokens can be orders of magnitude cheaper per problem than a Pro-tier frontier model — compare output prices in the list above.

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