Complex Numbers

Generate randomized complex number problems and validate answers via API.

Updated Mar 14, 2026
One-click install
npx skills add https://github.com/sudarshansudarshan/tenali --skill complex-numbers
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: Complex Numbers
Source: https://github.com/sudarshansudarshan/tenali/tree/main/supermarket/complex
Command: npx skills add https://github.com/sudarshansudarshan/tenali --skill complex-numbers

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Provides structured practice and deterministic assessment for complex number arithmetic, removing ambiguity in answer formats and making grading repeatable for educators and learners at the secondary/A-Level level.

Core Features & Use Cases

  • Tiered Question Generation: Produces randomized integer-based problems for addition, multiplication, modulus, and squaring across four difficulty levels (easy, medium, hard, extrahard).
  • Deterministic Answer Checking: Accepts a,b formatted complex answers or numeric modulus values and applies exact-match server-side checking rules; supports adaptive scoring for progressive practice.
  • API Integration & Classroom Use: Exposes endpoints to fetch questions and check answers, usable in web apps, classroom quizzes, or automated practice sessions.

Quick Start

Ask the skill to generate a medium multiplication problem, answer using the a,b format for a + bi, and submit the answer to the check endpoint.

Frequently Asked Questions about Complex Numbers

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I generate complex number arithmetic problems for a math quiz?

To generate complex number arithmetic problems, use this Skill to produce randomized integer-based questions across addition, multiplication, modulus, and squaring operations. It creates problems across four difficulty tiers from easy to extrahard for classroom or API use.

What format should I use to submit complex number answers for exact-match checking?

Complex number answers must be submitted using an a,b format representing a + bi, while modulus problems require a numeric value. The server-side checking validates responses using exact-match rules to ensure deterministic grading.

Can I use automated question generation and answer checking for A-level math practice?

Yes, this Skill supports A-level math practice by exposing endpoints to fetch randomized questions and check answers. It applies deterministic grading and adaptive scoring, making it suitable for automated practice sessions and classroom quizzes.

Does adaptive learning work with complex number modulus and multiplication problems?

Adaptive learning functions through progressive scoring across four difficulty levels: easy, medium, hard, and extrahard. The system generates randomized integer-based complex number problems and validates responses to support tiered skill building.

What are the limitations of exact-match server-side checking for complex number answers?

The exact-match checking limitation requires answers to precisely match the deterministic output in a,b format or as a numeric modulus. It does not support partial credit or alternative mathematical simplifications of complex number expressions.