Mathematical Problem Solving With Steps

via “math problem solving with step-by-step explanations”

All-in-one AI assistant extension with GPT-4 and Claude.

Unique: Provides step-by-step math solutions with equation rendering directly in browser sidebar, supporting both text and image input without requiring separate math solver tools

vs others: More educational than Wolfram Alpha because it emphasizes step-by-step working and explanations rather than just final answers, though less comprehensive for symbolic computation

via “mathematical reasoning and step-by-step problem solving”

DeepSeek's 236B MoE model specialized for code.

Unique: Trained on 6 trillion tokens including mathematical reasoning datasets and code-based solutions, enabling both symbolic reasoning and code generation for mathematical problems in a single model without separate math-specific components

vs others: Provides integrated mathematical reasoning and code generation (unlike Copilot which focuses on code) while maintaining open-source weights and supporting local deployment

via “mathematical problem solving with symbolic reasoning”

Cost-efficient reasoning model with configurable effort levels.

Unique: Implements specialized mathematical reasoning patterns with step-by-step derivation generation, achieving competition-level math performance through domain-specific training rather than general reasoning

vs others: Matches o3 on mathematical benchmarks at lower cost; outperforms standard LLMs (GPT-4, Claude) on competition-level problems due to reasoning-grade capabilities

via “mathematical problem solving with step-by-step verification”

text-generation model by undefined. 38,71,385 downloads.

Unique: Trained via RL to optimize for mathematical correctness with explicit intermediate step generation; learns to recognize and correct errors during reasoning rather than committing to incorrect paths

vs others: Outperforms GPT-4 on MATH and AIME benchmarks (94.3% vs 80%+ on AIME) through learned reasoning allocation; provides more transparent reasoning than Gemini while maintaining higher accuracy

via “mathematical problem solving with step-by-step derivation”

Talk to Claude, an AI assistant from Anthropic.

via “mathematical-problem-solving-with-symbolic-reasoning”

Gemini 2.5 Pro is Google’s state-of-the-art AI model designed for advanced reasoning, coding, mathematics, and scientific tasks. It employs “thinking” capabilities, enabling it to reason through responses with enhanced accuracy...

Unique: Leverages extended internal reasoning to explore multiple mathematical approaches and verify symbolic manipulations before responding, providing higher confidence in mathematical correctness than models without reasoning capabilities.

vs others: Exceeds GPT-4 and Claude on complex mathematics by using internal reasoning to validate symbolic steps, reducing hallucinated solutions and improving explanation quality for educational use cases.

via “mathematical-problem-solving-with-step-by-step-reasoning”

DeepSeek-V3.1 is a large hybrid reasoning model (671B parameters, 37B active) that supports both thinking and non-thinking modes via prompt templates. It extends the DeepSeek-V3 base with a two-phase long-context...

Unique: Implements explicit reasoning phase specifically optimized for mathematical decomposition, allowing the model to verify intermediate steps before producing final answers, rather than generating answers directly.

vs others: More reliable for complex math than GPT-4 due to explicit verification phase, and more transparent than o1 (which hides reasoning) by allowing users to request step-by-step explanations.

via “mathematical problem-solving with step-by-step validation”

Olmo 3 32B Think is a large-scale, 32-billion-parameter model purpose-built for deep reasoning, complex logic chains and advanced instruction-following scenarios. Its capacity enables strong performance on demanding evaluation tasks and...

Unique: Olmo 3 32B Think uses its reasoning phase to validate mathematical solutions internally, enabling it to catch calculation errors and backtrack on failed solution paths. This is distinct from models that generate solutions in a single pass without validation, which are more prone to arithmetic errors.

vs others: More accurate on complex math problems than GPT-3.5 Turbo; comparable to GPT-4 on standardized math benchmarks while offering lower latency and cost

via “mathematical-reasoning-and-problem-solving”

Hermes 4 70B is a hybrid reasoning model from Nous Research, built on Meta-Llama-3.1-70B. It introduces the same hybrid mode as the larger 405B release, allowing the model to either...

Unique: Trained on mathematical problem datasets with explicit step-by-step annotations, enabling the model to generate intermediate steps that match human problem-solving patterns rather than jumping directly to answers

vs others: More transparent than Wolfram Alpha for showing reasoning steps, though less reliable for advanced mathematics; stronger than GPT-3.5 on symbolic manipulation due to larger parameter count

via “mathematical reasoning and symbolic computation”

GLM 4 32B is a cost-effective foundation language model. It can efficiently perform complex tasks and has significantly enhanced capabilities in tool use, online search, and code-related intelligent tasks. It...

Unique: GLM 4 32B includes specialized training on mathematical reasoning datasets, enabling it to show work and explain reasoning — not just generate answers — which is critical for educational and verification use cases

vs others: More cost-effective than Wolfram Alpha for symbolic reasoning while providing better explanations than calculators, though less precise than dedicated symbolic engines for complex expressions

via “mathematical problem solving with step-by-step verification”

The o-series of models are trained with reinforcement learning to think before they answer and perform complex reasoning. The o3-pro model uses more compute to think harder and provide consistently...

Unique: Applies extended reasoning to mathematical problem-solving, enabling explicit step-by-step verification and error-checking within the reasoning phase. Unlike standard LLMs that may skip steps or make calculation errors, o3-pro's reasoning allows it to catch and correct mistakes before output.

vs others: Achieves 90%+ accuracy on AIME and MATH benchmarks compared to 50-70% for GPT-4, due to reasoning-enabled verification and multi-path exploration.

via “mathematical problem solving with step-by-step verification”

DeepSeek R1 is here: Performance on par with [OpenAI o1](/openai/o1), but open-sourced and with fully open reasoning tokens. It's 671B parameters in size, with 37B active in an inference pass....

Unique: Achieves o1-level mathematical reasoning performance with fully transparent step-by-step verification, enabling educators and students to validate each calculation. The 671B parameter model with sparse activation maintains reasoning coherence across multi-step proofs while keeping inference costs lower than dense alternatives.

vs others: Superior to GPT-4 on complex math problems due to explicit reasoning, and more transparent than o1 which hides intermediate steps, making it ideal for educational and verification use cases.

via “mathematical problem solving with step-by-step derivations”

OpenAI o3-mini is a cost-efficient language model optimized for STEM reasoning tasks, particularly excelling in science, mathematics, and coding. This model supports the `reasoning_effort` parameter, which can be set to...

Unique: Applies reasoning_effort to control derivation depth and detail, enabling educators to generate solutions at varying levels of explanation without prompt changes. This differs from static math solvers (Wolfram Alpha) by providing reasoning traces and educational explanations.

vs others: More educational than symbolic solvers (shows reasoning); more flexible than static problem banks; enables personalized explanation depth through reasoning_effort parameter.

via “mathematical problem solving with step-by-step proof generation”

Qwen3-30B-A3B-Thinking-2507 is a 30B parameter Mixture-of-Experts reasoning model optimized for complex tasks requiring extended multi-step thinking. The model is designed specifically for “thinking mode,” where internal reasoning traces are separated...

Unique: Allocates specialized mathematical reasoning experts through MoE routing, enabling step-by-step proof generation with explicit symbolic and logical reasoning rather than pattern-matching mathematical solutions

vs others: Provides verifiable step-by-step mathematical reasoning unlike standard LLMs, though with higher latency and no formal correctness guarantees

via “mathematical-problem-solving-with-step-by-step-reasoning”

[Microsoft Research](/microsoft) Phi-4 is designed to perform well in complex reasoning tasks and can operate efficiently in situations with limited memory or where quick responses are needed. At 14 billion...

Unique: Phi-4's reasoning architecture is specifically optimized for mathematical problem decomposition, using transformer attention patterns trained on mathematical reasoning datasets to generate explicit intermediate steps that mirror human problem-solving approaches, enabling educational validation and debugging of mathematical logic.

vs others: Phi-4 delivers math reasoning comparable to GPT-4 at 1/10th the inference cost and 5x faster latency, making it practical for real-time tutoring systems and educational platforms where cost-per-query is a constraint.

via “mathematical problem-solving with step-by-step derivation”

DeepSeek R1 Distill Qwen 32B is a distilled large language model based on [Qwen 2.5 32B](https://huggingface.co/Qwen/Qwen2.5-32B), using outputs from [DeepSeek R1](/deepseek/deepseek-r1). It outperforms OpenAI's o1-mini across various benchmarks, achieving new...

Unique: Distills R1's mathematical reasoning capability to generate complete step-by-step derivations with intermediate justifications, making mathematical problem-solving transparent and verifiable

vs others: Provides more detailed reasoning than standard LLMs and more cost-effective reasoning than o1-mini while maintaining educational value through explicit derivation steps

via “mathematical problem solving with intermediate verification steps”

Aion-1.0-Mini 32B parameter model is a distilled version of the DeepSeek-R1 model, designed for strong performance in reasoning domains such as mathematics, coding, and logic. It is a modified variant...

Unique: Applies R1's chain-of-thought reasoning specifically to mathematics, generating verifiable intermediate steps rather than black-box final answers, enabling error detection and educational transparency

vs others: More transparent than GPT-4 for math (shows reasoning steps explicitly) and more efficient than full R1 while maintaining reasoning capability, though less specialized than dedicated symbolic math engines

via “multi-step-mathematical-reasoning”

Qwen3-Next-80B-A3B-Thinking is a reasoning-first chat model in the Qwen3-Next line that outputs structured “thinking” traces by default. It’s designed for hard multi-step problems; math proofs, code synthesis/debugging, logic, and agentic...

Unique: Combines 80B parameter scale with A3B architecture to maintain reasoning coherence across 50+ step mathematical derivations, outputting structured intermediate steps that expose algebraic transformations and logical justifications rather than black-box final answers

vs others: Outperforms GPT-4 and Claude 3.5 on formal proof generation by explicitly exposing reasoning traces, enabling verification of each step; stronger than specialized math models (Wolfram Alpha) because it generates human-readable justifications alongside symbolic results

via “mathematical-reasoning-and-problem-solving”

Trinity Large Thinking is a powerful open source reasoning model from the team at Arcee AI. It shows strong performance in PinchBench, agentic workloads, and reasoning tasks. Launch video: https://youtu.be/Gc82AXLa0Rg?si=4RLn6WBz33qT--B7

Unique: Applies extended reasoning specifically to mathematical problem-solving, allowing the model to explore multiple solution paths, validate intermediate steps, and provide confidence assessments. Unlike standard LLMs that may hallucinate mathematical steps, Trinity's reasoning budget enables verification and backtracking.

vs others: Provides more detailed reasoning than standard LLMs while remaining more accessible than specialized math engines; ideal for educational contexts where understanding the process matters as much as the answer.

via “mathematical reasoning and symbolic computation”

The latest GPT-4 Turbo model with vision capabilities. Vision requests can now use JSON mode and function calling. Training data: up to April 2023.

Unique: Uses chain-of-thought prompting during training to learn explicit reasoning steps, rather than relying on implicit pattern matching. This enables the model to show work and explain reasoning, making it more useful for educational applications than black-box mathematical solvers.

vs others: Better at explaining mathematical reasoning than Gemini Pro due to explicit chain-of-thought training; less reliable than Wolfram Alpha for symbolic computation but more flexible for open-ended mathematical discussion and explanation.