Newton Math — Free Math Problem Solver API (No Key)

TL;DR

Newton is a free, open-source math problem solver API. Provide a math expression and an operation, and it returns the simplified result. Supported operations include arithmetic, algebra (simplify, factor, derive, integrate), trigonometry, logarithms, and more. Simply encode the expression and operation type in the URL. JSON responses include the original operation, expression, and result. No API key, no rate limits. Indispensable for educational tools, homework helpers, and calculation engines.

Quick start: https://newton.now.sh/api/v2/derive/x%5E2-3x

No API key needed — just make a request!

How to Use This API

1. Derive a Function

https://newton.now.sh/api/v2/derive/x%5E2-3x

2. Integrate an Expression

https://newton.now.sh/api/v2/integrate/2x%5E3

3. Simplify an Expression

https://newton.now.sh/api/v2/simplify/2x%5E2+3x%5E2

4. JavaScript — Math Calculator

async function mathSolve(op, expr) {
  const url = `https://newton.now.sh/api/v2/${op}/${encodeURIComponent(expr)}`;
  const data = await fetch(url).then(r => r.json());
  return data.result;
}

mathSolve('derive', 'x^2-3x').then(r => console.log('Derivative:', r));
mathSolve('integrate', '2x^3').then(r => console.log('Integral:', r));
mathSolve('simplify', '2x^2+3x^2').then(r => console.log('Simplified:', r));

5. Python — Batch Calculus

import requests

problems = [
    ('derive', 'sin(x)'),
    ('integrate', 'cos(x)'),
    ('simplify', '(x^2+2x+1)/(x+1)'),
    ('factor', 'x^2-4'),
]
for op, expr in problems:
    data = requests.get(
        f'https://newton.now.sh/api/v2/{op}/{expr}'
    ).json()
    print(f"{op}({expr}) = {data['result']}")

Derivative of x²−3x: https://newton.now.sh/api/v2/derive/x%5E2-3x

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Frequently Asked Questions

What operations are supported?: simplify, factor, derive, integrate, zeroes (roots), tangent, area under curve, cosine, sine, tangent, inverse cosine, inverse sine, inverse tangent, absolute value, logarithm, and more.
How do I pass expressions with special characters?: URL-encode the expression. Spaces become %20, exponents use ^, and parentheses should be encoded. Many common operations work without full encoding.
What is the expression syntax?: Standard algebraic notation: x^2 for x², sin(x) for sine, log(x) for natural log, sqrt(x) for square root. Use parentheses for grouping.
Can I solve equations?: Yes, use the zeroes operation to find equation roots and the tangent operation to find tangent lines at specific points.
Does it support implicit multiplication?: Yes, 2x is treated as 2*x. Use explicit operators for complex expressions to avoid ambiguity.
Is there a rate limit?: Newton is open-source and free with no rate limits. You can also self-host it from the GitHub repository.

API Details

API URL: https://newton.now.sh/api/v2
Documentation: github.com/aunyks/newton-api
Category: Science
Authentication: Not Required
Geographic Coverage: Global

What You Can Build

Interactive calculus learning app showing step-by-step derivations
Homework helper that solves and explains math problems in real-time
Physics simulation engine using the derivative/integral endpoints
Graphing calculator companion that computes symbolic derivatives
Math worksheet generator with auto-solved answer keys for teachers