metadata
language:
- en
license: apache-2.0
size_categories:
- 100K<n<1M
task_categories:
- text-generation
- question-answering
pretty_name: Math Reasoning SFT (100K)
tags:
- sft
- math
- reasoning
- mathematics
- step-by-step
- word-problems
- algebra
- geometry
- arithmetic
- probability
- statistics
- number-theory
- synthetic
configs:
- config_name: default
data_files:
- split: train
path: math-reasoning-sft-100k.jsonl
Math Reasoning SFT (100K)
100,000 math problems with detailed step-by-step solutions — ready for supervised fine-tuning of math reasoning models.
Dataset Description
100,000 problems across 8 mathematical categories and 3 difficulty levels:
Categories
| Category | Examples | Topics |
|---|---|---|
word_problems |
~23,100 | Rate/time/distance, work problems, mixture, meeting/catch-up |
arithmetic |
~15,400 | Percentages, profit/loss, ratios |
geometry |
~15,400 | Area (rectangle, triangle, circle, trapezoid), Pythagorean theorem |
algebra |
~15,200 | Linear equations, quadratic equations |
finance_math |
~7,800 | Compound interest (annual/quarterly/monthly compounding) |
number_theory |
~7,800 | GCD, LCM (Euclidean algorithm) |
probability |
~7,700 | Dice, cards, balls, coins |
statistics |
~7,600 | Mean, median, range |
Difficulty Distribution
| Level | Examples | Description |
|---|---|---|
easy |
~48,000 | Single-step or direct formula application |
medium |
~44,300 | Multi-step problems requiring setup |
hard |
~7,700 | Problems requiring simultaneous equations or complex setup |
Format
{
"problem": "A car travels at 60 km/h for 2.5 hours. How far does it travel?",
"solution": "Step 1: Use the formula: Distance = Speed × Time\n Distance = 60 km/h × 2.5 h = 150 km\n\nAnswer: 150 km",
"answer": "150 km",
"category": "word_problems",
"difficulty": "easy",
"id": "abc123"
}
Solution Structure
Every solution follows a consistent multi-step format:
- Formula identification — states the relevant formula or approach
- Substitution — plugs in the specific numbers
- Step-by-step calculation — shows intermediate results
- Final answer — clearly labeled
Answer:line
Use Case
- SFT for math reasoning capability in LLMs
- Training step-by-step problem solving behavior
- Curriculum learning: filter by
difficultyfor progressive training - Evaluation: held-out test sets for math benchmarks
- Chain-of-thought distillation
Filtering Examples
import json
# Load only medium/hard problems
with open("math-reasoning-sft-100k.jsonl") as f:
data = [json.loads(l) for l in f]
hard_algebra = [r for r in data if r["difficulty"] in ("medium","hard") and r["category"] == "algebra"]
License
Apache 2.0