Best Jasper prompts for Mathematicians

Given a dataset of 100 million records with 50 features, and an existing ETL pipeline written in Python, using the Pandas library, with an average processing time of 5 hours, I need a rewritten pipeline that incorporates parallel processing using Dask, reduces memory usage by 20%, and minimizes data transfer between nodes, while maintaining data accuracy and integrity, and provide a step-by-step breakdown of the optimization process, including code snippets and performance metrics.

Using a sample dataset of 10,000 records, with a binary classification problem, and a trained logistic regression model, with a reported precision of 85%, I need a detailed statistical analysis of the model's performance, including calculation of the confusion matrix, receiver operating characteristic curve, and area under the curve, using R programming language and the caret package, and provide recommendations for improving model precision by at least 5% through feature engineering and hyperparameter tuning.

Given a dataset with 500,000 records and 20 features, containing missing values, outliers, and non-normal distributions, I need a step-by-step data cleaning and preprocessing workflow using SQL and Python, incorporating data imputation, transformation, and feature scaling, to prepare the data for regression analysis, and provide a final dataset with a data quality report, including summary statistics and data visualization plots, using Tableau.

Using a Snowflake database with 100 tables and 500 queries, with an average query execution time of 10 seconds, I need a query optimization plan that reduces the average execution time by 40%, by analyzing query patterns, indexing strategies, and resource utilization, and provide a rewritten set of optimized queries, along with a step-by-step guide on implementing the optimization plan, including recommendations for materialized views, query caching, and resource allocation.