To help students, teachers, and others with math problems, you can use structured data to indicate the type of math problems and step-by-step walkthroughs for specific math problems. Here's an example of how math solvers may look in Google Search results (the appearance is subject to change):

To make sure users get the most out of your math solver's structured data, mark up both the home page and (if possible) solution pages for the specific mathematical expressions. With home page markup, Google can surface important information, such as whether the math solver contains a step-by-step explanation of the solution, or if the math solver can solve geometry problems.

Home page markup can also enable showing more detailed info about the math solver. For example, your math solver may accept generic input from users, but have distinct capabilities outlined on your site. For example, when users see that a math solver can solve polynomial equations, they may feel more comfortable clicking through to your math solver for queries like "x^2 - 3x = 0".

To enable step-by-step previews of the math solver, you can add server-side generated solution page markup to the specific problems. The step-by-step previews show users that your math solver is capable of solving their exact problem.

## How to add structured data

Structured data is a standardized format for providing information about a page and classifying the page content. If you're new to structured data, you can learn more about how structured data works.

Here's an overview of how to build, test, and release structured data. For a step-by-step guide on how to add structured data to a web page, check out the structured data codelab.

- Add the required properties. Based on the format you're using, learn where to insert structured data on the page.
- Follow the guidelines.
- Validate your code using the Rich Results Test.
- Deploy a few pages that include your structured data and use the URL Inspection tool to test how Google sees the page. Be sure that your page is
accessible to Google and not blocked by a robots.txt file, the
`noindex`

tag, or login requirements. If the page looks okay, you can ask Google to recrawl your URLs. - To keep Google informed of future changes, we recommend that you submit a sitemap. You can automate this with the Search Console Sitemap API.

## Examples

### Home page with one solver action

Here's an example of a math solver home page that has one solver action that can solve polynomial equations and derivative problems.

<html> <head> <title>An awesome math solver</title> </head> <body> <script type="application/ld+json"> { "@context": "https://schema.org", "@type": ["MathSolver", "LearningResource"], "name": "An awesome math solver", "url": "https://www.mathdomain.com/", "usageInfo": "https://www.mathdomain.com/privacy", "inLanguage": "en", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://mathdomain.com/solve?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": ["Polynomial Equation","Derivative"] }], "learningResourceType": "Math solver" } </script> </body> </html>

### Home page with two solver actions

Here's an example of a math solver home page that has two solver endpoints: one endpoint can solve polynomial equations and the other endpoint can solve trigonometric equations.

<html> <head> <title>An awesome math solver</title> </head> <body> <script type="application/ld+json"> { "@context": "https://schema.org", "@type": ["MathSolver", "LearningResource"], "name": "An awesome math solver", "url": "https://www.mathdomain.com/", "usageInfo": "https://www.mathdomain.com/privacy", "inLanguage": "en", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://mathdomain.com/solve?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": "Polynomial Equation" }, { "@type": "SolveMathAction", "target": "https://mathdomain.com/trig?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": "Trigonometric Equation" }], "learningResourceType": "Math solver" } </script> </body> </html>

### Solution page

Here's an example of a solution page with two different step-by-step walkthroughs to a problem.

<html> <head> <title>An awesome math solver</title> </head> <body> <script type="application/ld+json"> { "@context": "https://schema.org", "@type": ["MathSolver", "LearningResource"], "name": "An awesome math solver", "url": "https://www.mathdomain.com/solve?q=x^2-3x=0", "usageInfo": "https://www.mathdomain.com/privacy", "assesses": "Polynomial Equation", "hasPart": { "@context": "https://schema.org", "@type": "HowTo", "url": "https://www.mathdomain.com/solve?q=x^2-3x=0", "name": "$$ x^2 -3x = 0 $$", "about": { "@type": "Thing", "name": "$$ x^2 - 3x = 0 $$" }, "yield": "$$ x = 3 \\ x = 0 $$", "tool": [ { "@type": "HowToTool", "name": "Quadratic Formula" }, { "@type": "HowToTool", "name": "Common Factoring" } ], "step": [{ "@type": "HowToSection", "name": "Quadratic Formula", "position": "1", "numberOfItems": "5", "itemListElement": [{ "@type": "HowToStep", "position": "1", "text": "Use the quadratic formula <br> $$ x=\\frac{-({\\color{#e8710a}{-3}}) \\pm \\sqrt{({\\color{#e8710a}{-3}})^{2}-4 \\cdot {\\color{#c92786}{1}} \\cdot {\\color{#129eaf}{0}}}}{2 \\cdot {\\color{#c92786}{1}}} $$" }, { "@type": "HowToStep", "position": "2", "text": "Simplify the quadratic formula <br> $$ x=\\frac{3 \\pm 3}{2} $$" } ] }, { "@type": "HowToSection", "name": "Common factoring", "position": "2", "numberOfItems": "4", "itemListElement": [ { "@type": "HowToStep", "position": "1", "text": "Use the sum product pattern" }, { "@type": "HowToStep", "position": "2", "text": "Write the equation in factored form <br> $$ (x-3)(x+0)=0 $$" } ] } ] }, "learningResourceType": "Math solver" } </script> </body> </html>

## Guidelines

For your page to be eligible for math solver rich results, you must follow these guidelines:

### Guidelines for solution pages

Solution page markup enables previews of step-by-step solutions so that users can feel confident their problems can be solved on your site. Due to the nature of math, there are additional requirements when marking up solution pages.

- Solution page markup must be server-side generated and not dynamically injected into the page after the initial page load.
- Solution page markup must be in JSON-LD format.

## Structured data type definitions

You must include the required properties for your content to be eligible for display as a rich result. You can also include the recommended properties to add more information to your structured data, which could provide a better user experience.

### MathSolver

A `MathSolver`

is a tool that assists students, teachers, and others
with math problems by laying out step-by-step solutions. Use `MathSolver`

structured data on both the home page and solution page.

The full definition of `MathSolver`

is available at
schema.org/MathSolver.

Required properties | |
---|---|

`potentialAction` |
The action that leads to a mathematical explanation (for example, step-by-step solution or graph) of a math expression. { "@type": "MathSolver", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://mathdomain.com/solve?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": "Polynomial Equation" }] } |

`potentialAction.mathExpression-input` |
A mathematical expression (for example: x^2-3x=0) that may be simplified, transformed, or solved for a specific variable. This can take many formats (for example: LaTeX, Ascii-Math, or mathematical expressions that you can write with a keyboard). |

`url` |
The URL of the |

`usageInfo` |
The privacy policy for your math problem solving site. { "@type": "MathSolver", |

`potentialAction.target` |
The URL target entrypoint for an action. The { "@type": "MathSolver", "potentialAction": [{ "@type": "SolveMathAction", |

Recommended properties | |
---|---|

`inLanguage` |
The language(s) that are supported by your math problem solving site. See this table for a list of possible languages. { "@type": "MathSolver", |

`assesses` |
The problem type(s) that are solved with the { "@type": "MathSolver", |

`potentialAction.eduQuestionType` |
The problem type(s) that are capable of being solved by the { "@type": "SolveMathAction", |

### LearningResource

A `LearningResource`

indicates that the subject of the markup is a
resource that assists students, teachers, and others with educational learning. Use
`LearningResource`

on both the home page and solution pages.

The full definition of `LearningResource`

is available at
schema.org/LearningResource.

Required properties | |
---|---|

`learningResourceType` |
The type of this learning resource. Use this fixed value: { "@type": ["MathSolver", "LearningResource"], |

### HowTo

Mark up the specific steps to solving a problem on both the home page and solution pages with
the `MathSolver`

type. Refer to the example
for how to embed the `HowTo`

type in the `MathSolver`

type.

The full
definition of `HowTo`

is available at
schema.org/HowTo.

Required properties | |
---|---|

`about.name` |
The math problem, equation, or expression that's being solved or walked through. Format
the value as a mathematical expression (in the following example, the value is enclosed in { "about": { "@type": "Thing", |

`step` |
List of A single step or a
If there is more than one method to solve a problem, represent each method with a
Some problem types might be answered with something more like a list of properties rather than a step by step walkthrough. An example might be a function f(x) = (x - 5)(x + 5). A student may interested in the simplification, y-intercept, x-intercept, derivative, or other properties of this function. We ask that you place the highest emphasis on simplification, as it is something that can be answered with a step by step walkthrough rather than only an answer. |

`step.itemListElement` |
List of
A list of steps that indicate how to solve the problem with the method specified by the { "@type": "HowToSection", "name": "Quadratic Formula", "position": "1", |

`step.itemListElement.position` |
The relative ordering of the { "@type": "HowToStep", |

`step.itemListElement.text` |
A { "@type": "HowToStep", "position": "3", |

`step.name` |
The method that's being used to solve the problem. Use the same value as the { "@type": "HowToSection", |

`step.numberOfItems` |
The number of steps in the solution method that's described by the { "@type": "HowToSection", |

`step.position` |
The relative ordering of the { "@type": "HowToSection", |

`tool` |
The method(s) that are being used to solve the math problem. Each method name must be one of the following values: `Quadratic Formula` : Solving quadratic equations with quadratic formula.`Factoring` : Solving polynomial equations by factoring/grouping terms.`Completing the Square` : Solving quadratic equations by completing the square.`Graphing` : Displaying various equations or expressions on a two or more dimensional plane.`Row Reduction` : Simplifying a matrix into its row reduced echelon form.`Solve by Substitution` : Solving a matrix or system of equations by substitution.`Solve by Elimination` : Solving a matrix or system of equations by elimination.`Cramer's Rule` : Solving a matrix or system of equations with Cramer's rule.
{ "tool": [ { "@type": "HowToTool", "name": "Quadratic Formula" }, { "@type": "HowToTool", "name": "Common Factoring" } ] } |

`url` |
The URL of the page that provides the solution or walkthrough of the math problem. |

`yield` |
The answer to the math problem. If the answer is a mathematical expression, format the value as math. Learn more about encoding math problems in HTML. { "yield": "$$ x = 0 \\ x = 3 $$", } |

## Problem Type Definitions

Use the following list of problem types as either the `eduQuestionType`

for a `MathSolver.potentialAction`

or for the `assesses`

field of a `MathSolver`

when the `MathSolver`

is accompanying a `HowTo`

that walks through a specific math problem.

Example problem types (this isn't an exhaustive list) | |
---|---|

`Absolute Value Equation` |
Absolute value equations. For example: |x - 5| = 9 |

`Algebra` |
A generic problem type that can be placed with other problem type. For example: polynomial equations, exponential equations, and radical expressions. |

`Arc Length` |
Arc length problems. For example: Determine the length of x = 4 (3 + y)^2, 1 < y < 4. |

`Arithmetic` |
Arithmetic problems. For example: Find the sum of 5 + 7. |

`Biquadratic Equation` |
Biquadratic equations. For example: x^4 - x^2 - 2 = 0. |

`Calculus` |
A generic problem type that can be placed with other problem types. For example: integrals, derivatives, and differential equations. |

`Characteristic Polynomial` |
Find the characteristic polynomial of {{1,2,5}, {3,-1,1}, {1,2,3}}. |

`Circle` |
Circle related problems. For example: Find the radius of x^2 + y^2 = 3. |

`Derivative` |
Derivative of 5x^4 + 2x^3 + 4x - 2. |

`Differential Equation` |
Differential equation problems. For example: y+dy/dx=5x. |

`Distance` |
Distance problems. For example: Find the distance between (6,-1) and (-3,2). |

`Eigenvalue` |
Eigenvalue problems. For example: Find the eigenvalues for the matrix [[-6, 3], [4, 5]]. |

`Eigenvector` |
Eigenvector problems. For example: Find the eigenvector for the matrix [[-6, 3], [4, 5]] with eigenvalues of [-7, 6]. |

`Ellipse` |
Ellipse problems. For example: Find the x and y intercepts of 9x^2 + 4y^2 = 36. |

`Exponential Equation` |
Exponential equations. For example: 7^x = 9. |

`Function` |
Polynomial simplifications. For example: (x-5)^2 * (x+5)^2. |

`Function Composition` |
f(g(x)) when f(x)=x^2-2x, g(x)=2x-2 |

`Geometry` |
A generic problem type that can be placed with other problem types. For example: circle, ellipse, parabola, slope. |

`Hyperbola` |
Hyperbola problems. For example: Find the x-intercept of (x^2)/4 - (y^2)/5 = 1. |

`Inflection Point` |
Find the inflection point of f(x) = 1/2x^4 +x^3 - 6x^2. |

`Integral` |
Integral of sqrt (x^2 - y^2). |

`Intercept` |
Line intercept problems. For example: Find the x-intercept of the line y = 10x - 5. |

`Limit` |
Limit problems. For example: Find the limit of x as x approaches 1 for (x^2-1)/(x-1). |

`Line Equation` |
Line equation problems. For example: Find the equation of a line with points (-7,-4) and (-2,-6). |

`Linear Algebra` |
A generic problem type that can be placed with other problem types. For example: matrix and characteristic polynomial. |

`Linear Equation` |
Linear equations. For example: 4x - 3 = 2x + 9. |

`Linear Inequality` |
Linear inequalities. For example: 5x - 6 > 3x - 8. |

`Logarithmic Equation` |
Logarithmic equations. For example: log(x) = log(100). |

`Logarithmic Inequality` |
Logarithmic inequalities. For example: log(x) > log(100). |

`Matrix` |
{{1,2,5}, {3,-1,1}, {1,2,3}} row reduce |

`Midpoint` |
Midpoint problems. For example: find the midpoint between (-3, 7) and (5, -2). |

`Parabola` |
Parabola problems. For example: Find the vertex of y2 - 4x - 4y = 0. |

`Parallel` |
Parallel line problems. For example: Are the two lines parallel (y = 10x + 5, y = 20x + 10)? |

`Perpendicular` |
Perpendicular problems. For example: Are the two lines perpendicular (y = 10x + 5, y = 20x + 10)? |

`Polynomial Equation` |
Polynomial equations. For example: x^5 - 3x = 0. |

`Polynomial Expression` |
Polynomial expressions. For example: (x - 5)^4 * (x + 5)^2. |

`Polynomial Inequality` |
Polynomial inequalities. For example: x^4 - x^2 - 6 > x^3 - 3x^2. |

`Quadratic Equation` |
Quadratic equations. For example: x^2 - 3x - 4 = 0. |

`Quadratic Expression` |
Quadratic expressions. For example: x^2 - 3x - 2. |

`Quadratic Inequality` |
Quadratic inequalities. For example: x^2 - x - 6 > x^2 - 3x. |

`Radical Equation` |
Radical equations. For example: sqrt(x) - x = 0. |

`Radical Inequality` |
Radical inequalities. For example: sqrt(x) - x > 0. |

`Rational Equation` |
Rational equations. For example: 5/(x - 3) = 2/(x - 1). |

`Rational Expression` |
Rational expressions. For example: 1/(x^3 + 4x^2 + 5x + 2). |

`Rational Inequality` |
Rational inequalities. For example: 5/(x - 3) > 2/(x - 1). |

`Slope` |
Slope problems. For example: Find the slope of y = 10x + 5. |

`Statistics` |
Statistics problems. For example: Find the mean of a set of numbers (3, 8, 2, 10). |

`System of Equations` |
System of equations problems. For example: Solve 2x + 5y = 16 and 3x - 5y = - 1. |

`Trigonometry` |
Solve sin(t) + cos(t) = 1. |

##
Encoding math problem `HowTo`

in HTML

Google Search supports HTML when encoding `HowTo`

structured data that additionally has the `MathSolver`

type. We restrict the set of constructs to the following:

- Bold
- Formulas in LaTex
- Headers
- Italic
- Line breaks
- Lists (ordered and unordered)
- Paragraphs

CSS and Javascript are ignored. All other constructs are ignored and shown as plain text.

### How to specify the format

To specify which encoding format you're using, use the `encodingFormat`

property and set the value to `"text/html"`

for HTML.

### Math expressions

Math expressions are supported in the LaTex format. Use `$$`

to render math properly within the text:

"<p>You can solve $$ x^2 - 25x = 0 $$ by factoring. <br>$$ (x-5)(x+5) $$</p>"