Mathsteps aims to provide step-by-step instructions like a tutor would give them to a student.

Mathsteps requires Node version > 6.0.0

To install mathsteps using npm:

(Coming)

npm install @taskbase/mathsteps 

constmathsteps=require('mathsteps');conststeps=mathsteps.simplifyExpression('2x + 2x + x + x');steps.forEach(step=>{console.log("before change: "+step.oldNode.toString());// before change: 2 x + 2 x + x + xconsole.log("change: "+step.changeType);// change: ADD_POLYNOMIAL_TERMSconsole.log("after change: "+step.newNode.toString());// after change: 6 xconsole.log("# of substeps: "+step.substeps.length);// # of substeps: 3});

To solve an equation:

conststeps=mathsteps.solveEquation('2x + 3x = 35');steps.forEach(step=>{console.log("before change: "+step.oldEquation.ascii());// e.g. before change: 2x + 3x = 35console.log("change: "+step.changeType);// e.g. change: SIMPLIFY_LEFT_SIDEconsole.log("after change: "+step.newEquation.ascii());// e.g. after change: 5x = 35console.log("# of substeps: "+step.substeps.length);// e.g. # of substeps: 2});

To see all the change types:

constchanges=mathsteps.ChangeTypes;

Asciimath

Simplifying Expressions

• arithmetic simplification: ["(2+2)*5", "20"]
• collect and combines like terms: ["x^2 + 3x*(-4x) + 5x^3 + 3x^2 + 6", "5x^3 - 8x^2 + 6"]
• simplify with division: ["(20 * x) / (5 * (40 * y))", "x / (10y)"]
• deal with fractions: ["2(x+3)/3", "2x / 3 + 2"]
• cancelling out: ["(1+2a)/a", "1 / a + 2"]
• deal with absolute values: ["(x^3*y)/x^2 + abs(-5)", "x * y + 5"]
• deal with nth roots: ["x * nthRoot(x^4, 2)", "x^3"]

unsure:

• deal with higher order polynomials: ?

Solving equations.

• Solve linear equations with one variable
• Solve for y in linear equations with x and y as variables.
• Solve binomic equation
• Some inequalities (e.g. "x + 2 > 3" to "x > 1")
• Constant comparison (e.g. "1 = 2" to ChangeTypes.STATEMENT_IS_FALSE)

• Expressions with multiple variables other than y and x
• Some inequalities (e.g. "( x )/( 2x + 7) >= 4")
• Calculate square root of x^2, so result will stay e.g. x^2=2

First clone the project from github:

git clone https://github.com/taskbase/mathsteps.git cd mathsteps 

Install the project dependencies:

npm ci cd lib && npm ci && cd .. cd example-consumer && npm ci && cd .. 

See scripts in package.json.

To execute tests for the library, install the project dependencies:

npm ci 

Then, the tests can be executed:

npm test 

• Fix usage of factoring for simplification
• Throw error instead of returning empty array?

• Port to TypeScript!

Based on google/mathsteps