Reasoning Based Problem Solving With Step By Step Explanation

via “reasoning and step-by-step problem decomposition”

text-generation model by undefined. 95,66,721 downloads.

Unique: Emergent chain-of-thought capability from instruction tuning on reasoning datasets; no explicit reasoning module or symbolic engine — reasoning emerges from learned token prediction patterns that favor intermediate explanation tokens, making it lightweight but probabilistic

vs others: Provides transparent reasoning comparable to GPT-4 on simple problems but with full local control; outperforms Mistral-7B on reasoning tasks due to instruction tuning, but lacks the formal verification and symbolic reasoning of specialized tools like Wolfram Alpha

via “step-by-step solution annotation and verification”

12.5K competition math problems across 7 subjects and 5 difficulty levels.

Unique: Solutions are expert-verified and provided as part of the dataset curation, not generated post-hoc by models. This ensures high-quality ground truth for training and evaluation. Solutions include intermediate reasoning steps in natural language, enabling evaluation of reasoning quality beyond final answer correctness.

vs others: More valuable than datasets with only final answers because it enables chain-of-thought training and intermediate step evaluation; more reliable than model-generated solutions because they are human-authored and verified; more detailed than simple answer keys because it includes full reasoning paths.

via “reasoning and step-by-step problem decomposition with chain-of-thought”

ChatGPT by OpenAI is a large language model that interacts in a conversational way.

via “reasoning and step-by-step problem decomposition”

Meta's latest class of model (Llama 3.1) launched with a variety of sizes & flavors. This 70B instruct-tuned version is optimized for high quality dialogue usecases. It has demonstrated strong...

Unique: Instruction-tuned on datasets containing explicit reasoning traces (e.g., math solutions with working, logic puzzles with step-by-step explanations), enabling the model to learn to generate intermediate reasoning as a learned behavior rather than relying on prompt engineering alone.

vs others: More reliable than base models at producing coherent reasoning chains; comparable to GPT-4 on standard benchmarks but with lower latency and cost, though may underperform on novel reasoning patterns not well-represented in training data.

via “reasoning and step-by-step problem decomposition”

Gemma 4 26B A4B IT is an instruction-tuned Mixture-of-Experts (MoE) model from Google DeepMind. Despite 25.2B total parameters, only 3.8B activate per token during inference — delivering near-31B quality at...

Unique: MoE expert specialization enables dedicated reasoning experts that activate for complex reasoning tasks, while general-purpose experts handle simpler steps, optimizing compute allocation across reasoning complexity

vs others: Provides faster reasoning than Llama 3.1 8B (15-20% speedup) while maintaining comparable accuracy on grade-school math and logic puzzles, though underperforms specialized reasoning models like o1-mini on competition-level problems

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

GPT-3.5 Turbo is OpenAI's fastest model. It can understand and generate natural language or code, and is optimized for chat and traditional completion tasks. Training data up to Sep 2021.

Unique: Instruction-tuned for chain-of-thought reasoning, generating intermediate steps explicitly rather than jumping to conclusions; trained on diverse reasoning tasks to apply reasoning patterns across math, logic, and code domains

vs others: More accurate on multi-step problems than direct answer generation because explicit reasoning reduces errors; more flexible than specialized solvers because it handles diverse problem types, though less accurate than domain-specific tools (calculators, debuggers)

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 “reasoning and step-by-step problem solving”

Olmo 3.1 32B Instruct is a large-scale, 32-billion-parameter instruction-tuned language model engineered for high-performance conversational AI, multi-turn dialogue, and practical instruction following. As part of the Olmo 3.1 family, this...

Unique: Instruction-tuning on chain-of-thought datasets enables the model to generate coherent reasoning steps when prompted, without requiring explicit reasoning modules or external symbolic solvers — this implicit reasoning approach is more flexible than hard-coded reasoning systems but less precise than specialized solvers

vs others: More transparent reasoning than direct answer generation, but lower accuracy on specialized domains than models fine-tuned exclusively on reasoning tasks; better for educational use cases than production problem-solving

via “logical reasoning and problem-solving with step-by-step decomposition”

Meta's latest class of model (Llama 3) launched with a variety of sizes & flavors. This 70B instruct-tuned version was optimized for high quality dialogue usecases. It has demonstrated strong...

Unique: Instruction-tuning explicitly optimizes for chain-of-thought reasoning patterns, enabling the model to articulate intermediate steps and self-correct. 70B scale provides sufficient capacity for multi-step reasoning without losing coherence.

vs others: Better reasoning transparency than smaller models and comparable to GPT-4 on many reasoning tasks at lower cost, though specialized reasoning models or symbolic solvers may outperform on highly constrained domains like formal mathematics.

via “reasoning chain decomposition and step-by-step problem solving”

Qwen Plus 0728, based on the Qwen3 foundation model, is a 1 million context hybrid reasoning model with a balanced performance, speed, and cost combination.

Unique: Implements chain-of-thought reasoning through prompt-based guidance rather than architectural modifications, enabling flexible reasoning depth control without model retraining

vs others: More cost-effective than specialized reasoning models (o1) for moderate complexity problems; produces transparent reasoning vs black-box outputs; trades off reasoning depth vs cost and latency

via “reasoning and chain-of-thought task decomposition”

Step 3.5 Flash is StepFun's most capable open-source foundation model. Built on a sparse Mixture of Experts (MoE) architecture, it selectively activates only 11B of its 196B parameters per token....

Unique: Implements reasoning through sparse expert routing that activates reasoning-specialized modules for complex tasks while maintaining efficiency. The MoE architecture allows the model to allocate more parameters to reasoning steps when needed without the overhead of a dense model.

vs others: Provides reasoning transparency comparable to GPT-4 or Claude while consuming 40-50% fewer tokens due to sparse activation, making it cost-effective for reasoning-heavy applications.

via “reasoning and multi-step problem solving”

A 12B parameter model with a 128k token context length built by Mistral in collaboration with NVIDIA. The model is multilingual, supporting English, French, German, Spanish, Italian, Portuguese, Chinese, Japanese,...

Unique: Mistral Nemo's instruction-tuning includes reasoning tasks and chain-of-thought examples, enabling it to generate explicit reasoning steps when prompted. The 128k context window enables longer reasoning chains than smaller-context models.

vs others: Reasoning capability is weaker than larger models (70B+) but sufficient for many reasoning tasks. Prompt-based chain-of-thought is more transparent than implicit reasoning but less efficient than specialized reasoning architectures.

via “logical reasoning and problem decomposition”

Grok 3 is the latest model from xAI. It's their flagship model that excels at enterprise use cases like data extraction, coding, and text summarization. Possesses deep domain knowledge in...

Unique: Implements explicit reasoning traces with tree-of-thought exploration that shows alternative reasoning paths, enabling users to understand and validate reasoning logic rather than just receiving final answers

vs others: Provides more transparent reasoning than GPT-4's implicit chain-of-thought, while maintaining better reasoning quality than specialized reasoning models through broader knowledge base

via “reasoning and chain-of-thought problem solving”

Meta's Llama 3.1 — high-quality text generation and reasoning

Unique: Explicitly trained for chain-of-thought reasoning across all three variants, with the 405B model claiming state-of-the-art performance. Generates transparent intermediate reasoning steps within a single forward pass, unlike ensemble or multi-turn approaches.

vs others: Provides transparent reasoning comparable to Claude 3.5 Sonnet and GPT-4o, but runs locally without API calls. Reasoning quality likely inferior to specialized reasoning models (OpenAI o1), but available for on-premise deployment without cloud dependencies.

via “complex reasoning and chain-of-thought decomposition”

Command R7B (12-2024) is a small, fast update of the Command R+ model, delivered in December 2024. It excels at RAG, tool use, agents, and similar tasks requiring complex reasoning...

Unique: Command R7B's reasoning is optimized for RAG and tool-use contexts, where intermediate steps can reference retrieved documents or tool outputs, enabling grounded reasoning that combines external knowledge with logical inference

vs others: Outperforms GPT-4 on MATH and AIME benchmarks when combined with tool use for calculation, because it can delegate computation to tools rather than attempting symbolic math in-context

via “reasoning-based problem solving with step-by-step explanation”

MiMo-V2-Pro is Xiaomi's flagship foundation model, featuring over 1T total parameters and a 1M context length, deeply optimized for agentic scenarios. It is highly adaptable to general agent frameworks like...

Unique: 1T parameter scale and agentic training enable more sophisticated multi-step reasoning than smaller models. The architecture likely includes specialized attention patterns or training objectives for reasoning transparency, improving both accuracy and explanation quality.

vs others: Larger capacity enables more complex reasoning chains with fewer errors than GPT-3.5 or smaller open models, though reasoning quality still depends on problem domain and may not exceed specialized reasoning models like o1

via “reasoning and chain-of-thought problem decomposition”

|[GitHub](https://github.com/meta-llama/llama3) | Free |

Unique: Instruction-tuned specifically on reasoning-focused datasets with explicit step-by-step annotations, enabling the model to naturally generate transparent reasoning traces without requiring special prompting techniques. The 70B parameter scale allows for nuanced reasoning across diverse domains while maintaining interpretability of intermediate steps.

vs others: More transparent and auditable reasoning than models optimized purely for answer accuracy, with reasoning traces that can be validated and debugged by domain experts, though less specialized than dedicated symbolic reasoning systems or theorem provers.

via “logical reasoning and problem-solving with step-by-step decomposition”

The Meta Llama 3.3 multilingual large language model (LLM) is a pretrained and instruction tuned generative model in 70B (text in/text out). The Llama 3.3 instruction tuned text only model...

Unique: Instruction-tuning explicitly includes chain-of-thought examples for reasoning tasks, enabling the model to learn step-by-step decomposition patterns; 70B parameter scale provides sufficient capacity for multi-step reasoning without external symbolic engines

vs others: More reliable step-by-step reasoning than Llama 2 70B; comparable to GPT-3.5 on reasoning benchmarks; lower cost than GPT-4 for reasoning tasks while maintaining competitive accuracy on standard benchmarks

via “reasoning and step-by-step problem decomposition with chain-of-thought prompting”

Mistral Small 3 is a 24B-parameter language model optimized for low-latency performance across common AI tasks. Released under the Apache 2.0 license, it features both pre-trained and instruction-tuned versions designed...

Unique: Implements chain-of-thought reasoning through instruction-tuning patterns rather than specialized reasoning architectures or reinforcement learning, enabling reasoning capabilities without model retraining or inference-time search

vs others: Faster reasoning than models requiring inference-time search or tree-of-thought exploration, while maintaining better explainability than black-box models; lower cost than specialized reasoning models like o1 for problems not requiring deep search

via “multi-step problem solving with extended context windows”

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 reasoning performance on multi-step problems through a 671B parameter model with mixture-of-experts efficiency, exposing full reasoning traces for validation. Unlike o1, the reasoning process is transparent and the model weights are open-source, enabling custom fine-tuning for domain-specific problem types.

vs others: Comparable to o1 on reasoning benchmarks but with transparent reasoning tokens and lower API costs, versus GPT-4 which lacks explicit reasoning and requires more prompt engineering for complex multi-step problems.