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  language: [en]
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  tags: [arithmetic, pretraining, sub-10M, ArithMark]
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  ---
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- # ArithMark 2.0 Pretraining Dataset
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- Generated for sub-10M LLMs targeting above-random-chance on ArithMark-2.0.
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- ## Files
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- - `arithmark_raw.parquet` — raw order
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- - `arithmark_curriculum.parquet` — curriculum-ordered (use this for training)
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- Generated: 2026-06-30 13:19 UTC
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  language: [en]
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  tags: [arithmetic, pretraining, sub-10M, ArithMark]
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  ---
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+ # Arithmetic-XL
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+
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+ ## 12 Million Verified Arithmetic Examples for Language Model Pretraining
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+
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+ > *"Arithmetic is one of those things that humans learn in primary
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+ > school but language models somehow manage to forget halfway through
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+ > training."*
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+
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+ Arithmetic-XL is a **large-scale arithmetic pretraining dataset**
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+ containing **over 12 million procedurally generated and verified
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+ examples** designed to improve numerical reasoning in language models.
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+
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+ The dataset was created with one objective:
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+
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+ **Teach models how to think about arithmetic instead of simply
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+ memorizing answers.**
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+
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+ Unlike many arithmetic datasets that focus only on direct
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+ question-answer pairs, Arithmetic-XL follows a layered curriculum that
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+ gradually introduces numerical concepts, multi-step computation,
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+ operator precedence, compositional reasoning, adversarial examples, and
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+ arithmetic embedded inside natural language.
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+
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+ Whether you're training a **5M parameter TinyLM** or a **multi-billion
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+ parameter foundation model**, Arithmetic-XL provides a diverse
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+ collection of arithmetic examples suitable for **pretraining**,
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+ **continued pretraining**, and **specialized arithmetic fine-tuning**.
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+
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+ ------------------------------------------------------------------------
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+
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+ # Why Another Arithmetic Dataset?
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+
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+ While training language models, I kept running into the same frustrating
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+ problem.
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+
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+ The model could explain surprisingly complicated topics...
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+
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+ ...and then confidently tell me that:
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+
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+ > **17 × 8 = 121**
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+
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+ That felt slightly concerning.
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+
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+ I searched for arithmetic datasets that were:
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+
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+ - Large
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+ - Diverse
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+ - Procedurally verified
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+ - Suitable for pretraining
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+ - Rich enough to teach actual arithmetic patterns rather than simple
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+ memorization
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+
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+ I found some excellent datasets.
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+
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+ I also found datasets that contained the same question written five
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+ hundred different ways.
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+
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+ After enough searching, I reached the conclusion every developer
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+ eventually reaches:
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+
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+ > "Fine... I'll build it myself."
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+
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+ Several weeks, countless Python scripts, and far too many generated
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+ equations later...
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+
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+ Arithmetic-XL was born.
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+
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+ ------------------------------------------------------------------------
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+
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+ # What Makes Arithmetic-XL Different?
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+
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+ Arithmetic-XL is **not** simply a collection of equations.
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+
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+ It follows a structured curriculum inspired by how humans progressively
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+ learn arithmetic.
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+
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+ Instead of immediately exposing the model to complicated expressions,
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+ the dataset gradually increases difficulty through multiple specialized
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+ layers.
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+
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+ The goal is to help models build numerical intuition before introducing
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+ increasingly complex reasoning tasks.
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+
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+ ------------------------------------------------------------------------
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+
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+ # Dataset Overview
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+
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+ -----------------------------------------------------------------------
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+ Property Value
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+ ----------------------------------- -----------------------------------
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+ **Dataset Name** Arithmetic-XL
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+
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+ **Total Examples** **12,000,000+**
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+
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+ **Generation Method** Hybrid Procedural + LLM Assisted
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+
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+ **Verification** Computationally Verified
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+
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+ **Primary Language** English
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+
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+ **Domain** Arithmetic Reasoning
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+
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+ **Recommended Usage** Pretraining / Continued Pretraining
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+ / Fine-tuning
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+
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+ **License** MIT
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+ -----------------------------------------------------------------------
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+