[OLYMPIAD MATH & FORMAL LOGIC • INDIVIDUAL TYPE PAGE]

Multi-Step Math & Logic CoT Data

Formal mathematical proofs, Olympiad-level logic derivations, and code execution trace steps annotated with detailed chain-of-thought rationale.

Multi-Step Math & Logic CoT Data Setup
MULTI-STEP MATH & LOGIC COT DATA TELEMETRY INSPECTOR PASS: GROUND TRUTH VERIFIED

Quality & Precision Benchmarks

BENCHMARK ALIGNMENT
GSM8K / MATH / HumanEval
PROOF RIGOR
100% SymPy & PhD Verified
STEP COUNT
5 to 25 Steps / Problem
LANGUAGE
English + Latex / Code

Dataset Taxonomy & Output Structure

math_domain (Algebra / Calculus / Geometry / Number Theory)
formal_latex_statement (LaTeX Equation Array)
step_by_step_cot_proof (CoT Trace)
verification_method (SymPy / Lean4 / Human Expert)

Specific Type Tasks & Applications

What Is Right vs What Is Wrong

COMMON COMPETITOR ERRORS (WRONG) BLUE PROJECTS GROUND TRUTH (RIGHT)
FAIL: Skipped intermediate derivation steps causing reasoning gaps PASS: Exhaustive step-by-step chain-of-thought (CoT) proofs without missing steps
FAIL: Unformatted raw text equations causing LaTeX parsing errors PASS: Standardized LaTeX equations verified via automated SymPy computer algebra

Files & CoT Reasoning Example (Python)

import json

# Load Blue Projects Process Supervision Data Type: Multi-Step Math & Logic CoT Data
with open("multi-step-math-logic-cot_cot_sample.json", "r") as f:
    data = json.load(f)
print("Loaded Keys:", list(data.keys()))

Why Blue Projects for Multi-Step Math & Logic CoT Data?

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