Validate and parse semantic version strings with comparison

Calculate Customer Lifetime Value from ARPU, churn rate, margin, and discount rate.

Detect prompt injection — instruction override, role hijack, jailbreaks, delimiter injection, and extraction attacks.

Calculate and analyze Unix file permissions — octal to symbolic, security risk detection, and permission comparison.

Calculate team power ratings from performance and results data

Calculate optimal crowdfunding goals from cost and buffer data

Calculate simple exponential and weighted moving averages

Recommend ideal word count by content type and competitor average to outrank in search.

Price options contracts using Black-Scholes with full Greeks and implied volatility.

Calculate ROC-AUC from probability scores or FPR/TPR points with optimal threshold identification.

Estimate daily crawl budget, days to full crawl, and wasted crawl from duplicate and parameter URLs.

Calculate cohort retention rates by period with Day 30, Day 60, Day 90 benchmarks.

Calculate selling price from costs using target margin or markup with profit projections.

Detect overfitting from train/val accuracy gap with severity classification and recommended fixes.

Estimate body fat % using US Navy tape measure method and BMI-based Deurenberg formula.

Check if numbers are prime, get factors, find primes in a range, and calculate twin primes.

Score Domain Authority and Domain Rating with label, ranking power, and growth targets.

Calculate ARR, MRR movements — new, expansion, contraction, churn, and net revenue retention.

Score forward carbon credit contract risk and delivery

Calculate safety stock levels from demand variability and lead time