problem solving apps for math

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The 7 Best Android Apps to Help You Solve Math Problems

Got a math problem to solve and need something more powerful than a regular calculator? These Android apps are the solution.

Math is one of the most stressful subjects you can face, and it's understandable. Whether you're good at it or not, solving complex math solutions can be challenging during concepts like calculus or trigonometry. And sometimes, even the fundamental arithmetic problems can give you trouble.

Luckily, there are a ton of apps that can help you solve math problems on your Android phone. Let's look at the best Android apps for improving your math skills.

1. Photomath

Photomath is a popular math solver app that uses augmented reality to solve math problems. It has an intuitive UI while offering plenty of functionality. All you need to do is point your camera at a math problem, or you can import a photo containing the problem from your phone, and it'll solve it for you.

Also, you get a dedicated calculator option that helps you input different problems. While solving them, it provides you with step-by-step guidance with animations and various methods.

Photomath is free to use with limited features. You'll have to subscribe to the Photomath Plus subscription to unlock features like animated tutorials, deeper explanations, hints, and many more. The subscription will cost you $9.99/month or $59.99/year.

Download: Photomath (Free, subscription available)

2. Microsoft Math Solver

Microsoft's Math Solver offers a lot of the same functionality that you get in the Photomath app. It can solve various problems, including trigonometry, algebra, calculus, and word problems.

You can type, scan a handwritten math equation, or import one from your gallery, and you'll get a step-by-step explanation. You can go to history, check back on previously solved problems, and bookmark a specific maths problem if you want to revise it later.

On top of that, you get interactive graphs, daily practice quizzes, and online video lectures that give you a better grip on the topic. It supports multiple languages like Chinese, Hindi, French, Japanese, and many more.

This app also integrates into the Edge browser on the desktop, so you can use Microsoft Edge to solve math problems . The best part about the app is that it's free to use and doesn't contain any ads or in-app purchases.

Download: Microsoft Math Solver (Free)

3. Socratic by Google

Socratic is one of the Android apps from Google that you might have never heard of before. It covers math concepts like algebra, geometry, trigonometry, calculus, and more. Apart from mathematics, it can help with various other topics like biology, chemistry, physics, history, and poetry.

You can scan math equations, word problems, physics questions, or anything else. It'll explain the question along with possible variations of the question and show related videos if it finds any. Given that it's a Google product, you will see most answers from Google search results and YouTube for videos.

The best part about the app is that it's completely free to use and doesn't contain ads throughout the app.

Download: Socratic by Google (Free)

Mathway supports basic to complex mathematics concepts such as trigonometry, algebra, calculus, and many more.

Similar to the other apps on this list, all you've got to do is scan the math problem or type it manually, and Mathway provides you with the answer and explains the steps that led to the solution. When you want to input your equation manually, you get a dedicated keyboard with different functions and symbols.

The app's user interface is minimal and easy to follow. Mathway is free to use but to access features like step-by-step solutions and explanations, you'll need to upgrade to a subscription plan which costs $9.99/month or $39.99/year.

Download: Mathway (Free, subscription available)

5. Camera Math

As the name suggests, Camera Math lets you solve math equations by taking pictures from your camera. It can help you with various math concepts like Calculus, Algebra, Trigonometry, Geometry, and others.

You can point the camera to a math question or import an image from your device to solve your problem. The app uses AI to extract the captured photo information and solve it for you with detailed steps. There's an Ask section in the app where you can ask tutors for help.

Furthermore, you get options like a dedicated calculator, decimal separator, and much more. Camera Math provides a 7-day free trial to decide whether to get the subscription plan, unlocking step-by-step solutions, removing ads, delivering faster solutions, and more. The Premium plan costs you $8.99/month and ranges up to $59.99/year.

Download: Camera Math (Free trial, subscription available)

Cymath is another excellent maths solver app that solves a variety of concepts like statistics, trigonometry, and calculus. Once you enter the app, you'll see a manual input option to enter your question. You can switch to the camera tab to scan it instead of manually entering it.

Cymath has an intuitive and simple-to-use user interface. It's available in four languages other than English. It has a Reference section that includes some basic formulas, rules, and equations that can help you.

Also, you can practice problems based on Pre-Algebra, Algebra, and Calculus in the Practice section, and there's a Blog section with a new problem and its solution every week. Cymath is free to use, but you can opt for the Premium subscription that costs $5/month, gets rid of ads, and provides a detailed explanation of steps, reference material, bookmarks, and more.

Download: Cymath (Free, subscription available)

7. Math Scanner by Photo

Math Scanner has a user interface that makes it simple while focusing on a problem, which you can enter by taking a picture, importing one, or manually entering it through the provided keyboard.

It covers algebra, trigonometry, calculus, statistics, and chemistry. There's also a dedicated section where you can learn these concepts. Furthermore, you can interact with other community members to exchange information. The app contains daily workouts to improve math skills and is available in four languages apart from English.

Math Scanner by Photo is free to use to a reasonable extent. However, you'll need a premium subscription to remove ads and unlock features like unlimited scanning, access to a support team, and more. The subscription plan costs $4.99/week, $9.99/month, or $29.99/year.

Download: Math Scanner by Photo (Free, subscription available)

Get Better at Mathematics

Everyone has unique abilities, so some might excel at maths and others might not. Either way, these apps can help you with your homework and other assignments if you struggle at solving more difficult problems.

Given that online learning is helping students in academics, you can also find some online tools that can help you solve complex math problems.

Math Solver

Geogebra math solver.

Get accurate solutions and step-by-step explanations for algebra and other math problems, while enhancing your problem-solving skills!

7 Best Math Solver Apps and Websites

We have already talked about math learning apps for Android and iOS before. These apps allow you to study and brush up on mathematical concepts regardless of where you are. But what do you do when you get stuck on a problem and there is no one to help you out? The answer is easy. There are tons of apps and websites that you can use to solve math problems in no time. So if you don’t want to depend on anybody, here are some of the best math solver apps and websites you can try. Let’s begin.

How to Tackle Homework with Math Solver Apps

1. mathway: scan photos, solve problems.

Mathway is the most recommended app when it comes to math problem-solving apps. It covers a large area of mathematics such as basic math, algebra, trigonometry, calculus, etc. So whether you want to solve basic square roots or word out complicated limits and derivatives, this one is the only tool you may need.

Mathway also allows you to connect with experts. You can submit your question for a fee of $5/month (one pending question at a time) or $30/month (1st plan + 20 sessions live with experts).

To start solving problems, all you have to do is select a subject area and take a photo of the question. Moreover, if you want to type in the question, you can do that with the keyboard as well. The numbers on the keyboard keep changing according to the subject of your choice. The best part is that it shows you steps to solve each problem. However, it is behind the paywall and would cost you $9.99/month. This also removes ads.

• Cover multiple areas (algebra, trigonometry, calculus, etc.)
• Supports three types of input (keyboard, camera, voice)
• Stp by step problem solving
• No sign-in required
• Ask an expert might be costly for many

Get Mathway for ( iOS | Android | Web )

2. Slader Homework Answer‪s

If you have a lot of math questions, taking a picture or typing each problem can be a big hassle. Since most math problems are extracted out of textbooks, why not simply scroll through the questions/answers from the book itself? This app does exactly that. You can scan the barcode of a book or browse from the category of the books already solved.

In addition to high school math (pre-algebra, geometry, trigonometry) and upper-level math (differential equations, statistics, etc.), it also covers other subjects such as English, management, accounting, etc. Although the app has a large database of books, there are chances that you won’t find the book you’re looking for. Moreover, most of the advanced math books are locked. So you can only view them by upgrading to a premium plan that comes at $3.99/monthly.

• Find math solutions book-wise
• Clearly shows chapter number, page, and exercise number
• Users can rate and comment on solutions
• Very slow to load
• Tons of banner ads
• Limited database of books
• No option to scan questions

Get Slader Homework Answer‪s for ( iOS | Android )

3. Cymath – Math Problem Solver

Cymath is similar to Mathway, however, I like it more because of a few additional features. But before that, let’s first talk about the common features. Both math solver apps allow you to capture math problems and have keyboard input as well. However, Mathway has far more sub-fields of math when compared to Cymath. I tried a few algebra questions where both performed well. However, Cymath often showed errors when I ran trigonometry questions.

In conclusion, if you want to cover a large area of subjects and want extreme accuracy, Mathway is still better.

Cymath shines in a few other aspects, for example, the history section and the ability to bookmark solutions. This comes in handy whenever you are stuck and wish to refer to an old problem. In addition, it also has a learning tab that has common references, practice questions and also discusses one problem each week. The plus version comes at $4.99/month. It removes ads, shows the step-by-step solutions, and even answer why a certain step is used (in addition to how).

• Covers most topics (algebra, calculus, graphing)
• Clean interface (easy to browser)
• Supports image and keyboard input
• History and bookmark option
• Stumbles a bit on accuracy
• Not as comprehensive as Mathway

Get Cymath – Math Problem Solve‪r for ( iOS | Android )

4. Geometry solver ² lite

Most math solver apps don’t deal with geometry, but here is an app that does it well. So the next time you struggle to find the area of a figure or you cannot recall a specific formula, you know where to look. You can easily toggle between 2D or 3D figures from the sidebar. Moreover, all the figures are given in a listicle form along with a line diagram for easy understanding.

The calculation is also extremely easy. All you have to do is add the variables and the app will show you all the results live as you change these variables in real-time. In case you do not want to rely on the auto-calculation feature, it shows all the formulae in the same tab for quick reference as well. While all the formulas are free, the calculator for several figures is locked. On the plus side, you can simply watch a 15 seconds video ad to unlock them. If you do not wish to see ads, you have the option to remove ads and unlock all figures by paying a $3.99/one-time fee.

• 2D ad 3D figure section
• Auto-calculator with variables
• Lists all the formulas (area, perimeter, centroid, etc.)
• Purely a geometry app

Get Geometry solver ² lite for ( iOS | Android )

5. Google Lens (Homework)

Did you know you can use the Google Search app to solve math problems? Very few people know about it and I’m sure even less actually use it. In order to use this feature, you must have the Google Search app installed. Simply tap on the camera icon and select the Homework option from the bottom. Now all you have to do is point the camera towards the question and adjust the frame accordingly.

If the app can scan the question successfully, you’ll get a preview for the same. If it’s not accurate you have the option to edit the question. You can also view the solution step-wise. Google also has another problem-solving app Socratic ( iOS , Android ) that covers all subjects. You can try that as well however it doesn’t allow you to upload questions from your gallery. Hence when your friends send you a problem on WhatsApp, using the Google Search app is a better solution.

• Shows step by step solution
• Allows you to edit the question
• See similar questions/concepts with Google search results
• Not a dedicated math solver app
• Might not work for advance math

Get Google Search App for ( iOS | Android )

6. QuickMath

If you prefer using a PC over the phone to study, you should check QuickMath’s website. The website isn’t fancy but easily solves basic math problems. Similar to the math solver apps we have discussed above, it solves math problems automatically. Whether you are in school or college, it covers a vast array of subjects. You can solve simple equations, algebra, calculus, percentage problems, etc.

The website is easy to browse and all the options are well laid out. You can click on the type of question from the side or top bar. Once you scroll down, you can also view a step-by-step solution for any given problem. In addition to that, it also provides a brief explanation for each step.

• Easy to switch between types of questions
• Solves both basic and advanced math problems
• Features help and tutorial section
• Step by step explanation
• No option to upload questions
• On-screen keyboard is a flimsy way to type (personal choice)

Get QuickMatch for ( iOS | Android | Web )

7. WolframAlpha

Wolfram is often called a search engine for solving problems. Unlike Google which heavily relies on search results, Wolfram uses deep computational power (extremely sourced and curated data) to solve mathematical equations and has a vast variety of areas it deals with. You can solve problems related to elementary math, algebra, calculus geometry, etc. To begin, type the question, upload a picture, even just paste a link containing the question.

Wolfram Alpha will likely solve all your problems. The only hiccup is that a lot of great features are exclusive to the pro version which comes at $5.59/monthly. This not only unlocks step-by-step solutions but also adds useful features like practice problems, guided calculators (finance, nutrition, etc), option to download results, etc. If you are a student, I highly recommend you try this. It’s a great factual resource not only for solving maths but other subjects such as chemistry, engineering, economics, stats, etc. too.

• Solutions based on factual data
• Covers most subject besides mathematics
• Useful features behind the paywall (step-by-step solution, download results, etc.)

Visit WolframAlpha

Closing Remarks: Which Math Solver Apps Should You Choose

In my opinion, Mathway is the perfect app, to begin with. It deals with most of the problems in addition to being accurate. You can type, use voice command and even capture questions to find answers. If you’re on PC, try the QuickMath website which will work in most cases.

Also Read: 19 Best Math Game Apps for Android and iOS

Vaibhav is a broadcast journalist with a keen interest in tech. He doesn't believe in fanboying a specific product. He writes about things he believes are actually helpful in some way to the user.

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• Solve equations and inequalities
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What can QuickMath do?

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

• The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
• The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
• The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
• The calculus section will carry out differentiation as well as definite and indefinite integration.
• The matrices section contains commands for the arithmetic manipulation of matrices.
• The graphs section contains commands for plotting equations and inequalities.
• The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

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Best Math Solver Apps for Android and iPhone

Due to the advent of technology, there are apps to solve math problems for smartphones and tablets. These math solution apps make solving complex mathematical problems as easy as clicking a picture and also provide step-by-step instructions explaining how it got to the answer. All you need to do is use your smartphone camera to click a photo of a math problem to solve it.

We have reviewed the best math solver apps to help solve almost any math problem. These math solver apps will help you track formulae and learn algebra, which let you solve equations by simply pointing the camera.

Here is the list of the best math solver apps that can empower you to tackle math problems with ease and efficiency.

1. Photomath

2. homework helper: math answers, 3. the math solver app, 4. gauthmath, 6. geometry solver: calculator, 7. wolframalpha, 8. myscript calculator, 9. microsoft math solver, 10. desmos graphing calculator.

(Android, iPhone, iPad)

Photomath is one of the best math solver apps for solving math problems and solving algebraic equations. Simply point your camera at any piece of paper with an equation or an arithmetic problem and take a picture, and this app will solve any math problems and provides math solutions with detailed steps.

• Scans handwritten math problems accurately
• Recognizes text, symbols, equations
• Huge knowledge base covers vast math subjects
• Detailed step-by-step solutions provided
• Real-life examples explain concepts
• Can struggle with very messy handwriting
• Some limitations recognizing obscure symbols
• Advanced graphing features require paid version

Price:  Offers subscription tiers (basic and premium)

Devices:  Android, iPhone and iPad 

If we missed any of the Best Math Solver Apps for Android and iPhone, tell us about them !

(iPhone, iPad)

Homework Helper is an AI Math Solver that provides instant solutions and step-by-step guidance for all levels of math in topics including geometry, trigonometry, and statistics.

• Accurate optical character recognition and a convenient scanning process 
• The additional grammar and translation functions make Homework Solver more flexible 
• Entering calculation is quick and easy

Price: Free with in-app purchases

Devices: Android, iPhone and iPad 

The Math Solver App is an innovative tool designed to assist learners of all levels in solving math problems. It covers a wide range of math topics and offers instant problem-solving with comprehensive step-by-step explanations. Users can customize their learning experience and track their progress.

• Provides detailed step-by-step explanations
• Supports various math topics from basic arithmetic to advanced calculus.
• Can be tailored to match individual learning styles and paces.
• Continuous improvements and new features added
• May require an internet connection

Devices:  iPhone and iPad

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Gauthmath is an ultimate free math problem solver app that reads and solves mathematical problems instantly by using the camera of your smartphone. From basic arithmetic to advanced calculus, Gauthmath utilises smart technology to read math problems and provide step-by-step solutions to address them.

• Covers wide range of math topics including algebra, geometry, calculus, statistics.
• Access to live tutors 24/7 for additional assistance.
• User-friendly interface for math solutions.
• Limited communication with live tutors.
• Display of targeted ads based on user activity.

Mathway is a math solver app to solve maths questions that offers instant answers to the users most complex math equations. This math problem solver practically solves anything from basic math problems, geometry, algebra to more complex calculus equations and trigonometry. The free version of this math solver app only gives the answers, but a subscription will give step-by-step solutions to math problems in a wide variety of math types. It is a highly recommended math solution app for all students who are struggling with math problems.

• Comprehensive coverage of math topics
• Offers additional features like textbook solutions, tutorials, and explanations for fee.
• Recognises both typed and handwritten problems.
• Potential misuse for cheating
• Limited free features

Price:  Free with subscription cost 9.99 per month or $39.99 per year.

Geometry Solver is a simple-to-use app for solving geometry problems. It covers a variety of 2D and 3D shapes and lets the user enter values for any of the variables.  The app then uses these to derive other properties of the shape. As Geometry Solver app is so quick and easy to use, students can easily experiment with how changing one variable in a geometric formula affects the others. It is also a very useful reference tool as each shape comes with a list of the relevant formulae. 

• Covers various math problems related to shapes.
• Provides brief definitions and descriptions
• User-friendly interface
• Allows users to customize answer accuracy by selecting decimal places.
• Layout improvements needed
• Lack of supporting website

Price:  Free with limited features; Pro version available

Devices:  iPhone and iPad 

WolframAlpha math solver is a powerful math answer app which aims to ‘make all systematic knowledge immediately computable and accessible to everyone capable’. This math solution app shouldn’t be mistaken for a search engine even though it looks like one. It is an informational tool that delivers specific answers calculated from the data gathered from all the information related to your questions. It is a math solver app with steps free online. Students can learn anything because it covers a variety of subjects but they need to learn how to ask the right questions.

• Wide knowledge coverage, spanning various domains.
• Offers precise answers and step-by-step explanations for complex queries.
• Employs vast computational power, including 50,000+ algorithms and 10+ trillion data pieces.
• Enhanced user experience with features like search history and favorites.
• Correct formulation of questions is essential for useful results.
• Some unusual or unclear queries may not provide meaningful answers.
• Requires an internet connection.

Price:  Free with in-app purchases

Get math problem solutions in real time with the MyScript Calculator. This math solver app allows the user to handwrite math problems on this math solution app to get better solutions. With scratching out gestures, you can easily erase the unwanted area. MyScript gives the feeling of writing on paper and solving it over this math problem solver. It supports basic arithmetic, square and cube roots, apart from trigonometry equations, logarithms and percentages.

• Handwriting input for natural math expressions.
• Real-time solutions as you write.
• Easy erasing with scratch-out gestures.
• Formula recognition from handwritten text.
• History tab for past calculations.
• Limited functionality
• Advanced features require in-app purchases.

Microsoft Math Solver app makes use of an advanced AI to solve a variety of different math problems with ease. This math solution app is quite simple to use and offers three ways to input a new math problem. You can either enter an equation using the built-in calculator-like interface, click a photo of the problem, or write the math problem by hand. This math solution app then uses the AI-powered math solver to recognize and provides accurate solutions, along with step-by-step explanations, interactive graphs, similar problems, and online video lectures for deeper learning.

• AI-powered math solver covers a wide range of problems.
• Offers step-by-step explanations for better understanding.
• Multiple input methods for user convenience.
• Provides supplementary video lectures and explanations.
• Completely free and ad-free.
• Language support, while extensive, may not meet all user needs.

Price: Free

The Desmos Graphing Calculator math solver automatically solves graphing equations for users. This algebra calculator can plot various equations, from lines to parabolas. It can take a set of data and create a graph. It supports functions and inequalities; it can graph exponents and logs, solve trigonometric equations, precalculus and calculus problems, and even statistics and probability. The uses of Desmos are unlimited in the math class.

• Free and easily accessible on web and mobile devices.
• Supports interactive learning with whiteboard integration.
• Allows manipulation of multiple representations for deeper math understanding.
• Used in standardized testing like SAT and PSAT.
• Intuitive interface with various math tools.
• May have an initial learning curve for some students.
• Not suitable for highly complex problems; better suited for basic math concepts.

These are just a few of the many apps that can help you solve math problems quickly. With so many options available, you're sure to find the perfect tool to help you reach your math goals.

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8 Best apps that solve math word problems (Android & iOS)

Are we at the pinnacle of digital technology in the world? Well, it doesn’t matter. Mathematics has been around for years, beginning in the 6th century BC when Phythogoreons, the ancient Greeks, formulated a systematic study of maths as a subject in its own right.

Since then, many mathematicians around the globe have played a significant role in developing mathematics as a full-fledged study that today we read as geometry, trignometry, differential, topology, e.t.c.

Fast forward to today, we now have the math solver apps to solve any math word problems at the tap of a button.

Had we envisaged it coming?. Now an app takes a picture of your homework, and gets answers without having you wrap your head around it.

This is nothing sort of a radical change in the system of education, but the results can be dire if students only stick to the math solver apps and do not manually attempt to solve problems.

However, A math word problem solver app doesn’t only scan and show the best answer but solves a question with steps, so students can learn to solve problems too. Without any delay, let’s jump to the best math solving apps. 

What are Maths Solver apps best for?

• Scan and solve complex problems with steps.
• Help you unstuck from a tricky question by highlighting errors.
• Explore other math problems with a step-by-step solution. 
• Has a built-in Smart calculator to help you calculate advanced maths calculations. 
• Choose between multiple methods to solve questions. 
• Solve math problems in a snap. 

Best apps that solve any math word problems via picture

Undeniably, it is the best math word problem solver app that you can use to shove your mathematics skills. If you want to take a picture of your homework and get answers, then Photomath is the solution.

Throw at it any problem, and it solves it in a fraction of seconds with an in-detail explanation. On top of all that, you find a myriad of maths books covering lower grade students to university graduates.

The text recognition is near perfect as you can even write lossy characters and expect a precise solution. 

It gives a little edge for students who check their math work and break down solutions step by step. Photomath has such a decent way of explaining calculation steps in animation, similar to what a tutor would do on a chalkboard.

Best of all, you will be able to solve graphs equations and use graphs to interpret solutions of any equation.

Another funkiest feature it offers is the smart calculator that allows you to edit scanned maths problems and see the solution of any symbolic equation. 

Who’s Photomath for? 

• Teachers who want to amplify their maths teaching skills
• Kids who want to learn syllabus mathematics with animations.
• College students for elevating maths learning skills. 
• Parents who want to teach their kids the basics of mathematics like addition, subtraction, etc.

Key Features 

• Supports a wide range of syllabus questions.
• Scan through a camera, and solve a question step by step.
• Keeper of countable popular mathematics books with solved solutions . 
• Brings mathematics to life with detailed animation of steps.
• Inbuilt Intuitive smart calculator. 
• Allows using graphics to interpret the system of equations and more. 

Freemium | One-Time $39 or $5/monthly iOS here –

Microsoft Math

This app is nothing sort of your math buddy, helping you visualize and learn tricky mathematics problems on the go.

The application has three ways to solve your problems: scan, draw, and type. You need to ask it a question you want it to solve step-by-step.

The “Draw” feature is what makes it stand out from the crowd with its incredible accuracy in identifying sloppy characters that are even hard to read in papers. 

No matter where you come from, it has support for various languages: Russian, Spanish, German, or Hindi. The app has been downloaded over a whopping 100 million times, and it runs on the web, iOS, and Android.

Unlike Photomath, it doesn’t include paperbacks solved solutions, but it likely supports all sorts of mathematical problems such as algebra, pre-algebra, trigonometry, calculus, with steps.

Not only is it the best way of explaining maths, but you can also learn more stuff through video tutorials explaining everything maths. Since it has tutorials to get you through complex problems, it also has quizzes to keep you plugged in. 

Who’s Microsoft Math Solver for?

• Teachers for interpreting graphs, equations, and more.
• Students who’re preparing for competitive exams.
• Parents and kids can get the most out of it. 
• Anyone who is a math quiz savvy. 

Key Features –

• Smart Calculator to tackle various mathematics problems.
• Scans a question straight from a smartphone, and displays a step-by-step solution.
• “Draw” feature enables you to write a question manually. 
• Users can check the history of their problems, and also solve quizzes.
• video tutorials to assist you.

Free | No ads | iOS here | Web

Brainly is another simple yet effective app for solving math word problems.If you haven’t heard about it before, then you’re missing its offbeat features.

At its best, Brainly has a large community around the world, helping each other out.

Besides mathematics, it offers a diverse curriculum that includes subjects such as science, geology, and botany, to name a few. Ask a question either through typing, scanning, or asking it aloud; it makes it easier.

It’s not only math-centered, so you are unlikely to get every type of mathematical solution, but the community has your back.

Brainly has an edge over other relevant apps because you can get a much clearer explanation of a problem by asking a question in the community.

On a lower note, only members with enough points can ask questions, so answering questions often will help you retain your points.

After gaining enough points, tap on the “ASK QUESTION” button to ask your question manually, using a smart calculator, files, and speech-to-text button.

When it comes to the best free math calculation apps, Brainly is the best option to go for. 

Who’s Brainly for – 

• Students of maths, physics, chemistry, and other subjects.
• Kids for learning basic mathematical expressions in steps.
• Any competitive aspirant.

Key Features – 

• Has an enormous community of around 20 million people worldwide.
• Lets you ask a different type of subjective question. 
• Answers a question, likely in two minutes (not for most problems). 
• Shows other methods of solving problems. Thanks goes to the community. 
• Smart calculator. 

Free | No ads | Requires points to ask questions | iOS

It’s more of a smart calculator than a community app. It claims to have solved over five billion math word problems and is still counting.

With MathWay, you can learn to solve problems in graphing, chemistry, finite math, calculus, precalculus, algebra, pre-algebra, statistics, and more.

Under the hood, it uses the A.I. bot to help you find answers with steps. You can look at examples of different mathematical problems laid out for you with a detailed explanation using the smart calculator.

This math word solver app enables you to snap a picture of your math question and get answers instantly.

As a basic member, you have access to all of its content, except the ability to view steps only when upgrading to a premium membership. The premium will cost around $1.55/monthly and $5/year.

Who’s MathWay for 

• Students who want to check homework with steps.
• Anyone for calculating complex maths questions.
• Teachers who want to learn all kinds of syllabi questions.

Key features:

• An artificial intelligence bot to help you with math problems.
• Solve questions step-by-step with the tap of a button.
• Has a capacious number of solved queries.

Freemium | $1.55/monthly or $5/yearly | iPhone

Cymath is another funky app that solves any math word problem and gives step-by-step solutions. Just hop a question into the smart calculator, and tap to get an answer. It works flawlessly.

You can also use your camera to scan a question and get an answer, or manually create a problem using a calculator. Apart from the solver, it has a reference covering almost everything from algebra: common logarithms to calculus: integration.

Once in a while, you can check history, explore the blog, and practice many questions in your language. However, upgrading to a premium may dramatically improve your ability to learn and solve problems with “why a step is taken” detailed steps.

Apart from that, it removes ads, personalizes your questions, unlocks reference material, and offers robust support 24/7.

Who’s Cymath for 

• Beginners and elites who want a thorough explanation of solutions. 
• School or college aspirants to practice syllabus questions.
• The app takes a picture of your homework and gets answers.
• in-built calculator for solving different problems.
• Reference for knowledge. 
• Users can practice questions.
• Bookmark material.

Freemium | iOS

Want to know the answer to any math word problem by scanning an image? The Qanda app has your back. Launched in 2016, the South Korea-based startup has racked up over 23 million downloads and counting.

What’s more, it has solved over one billion problems so far, making it one of the best math solver apps. With the help of A.I., the Qanda app solves math word problems quickly by just scanning a picture of the question.

It has a community of millions of people worldwide who help each other by sharing and solving tricky mathematics problems. Whether you want to ace university exams or solve school-level math word problems, this app is the best option to go for.

Besides, if you’re stuck with algebra, calculus, or trigonometry questions, you can play with its smart calculator. When you ask a question with Qanda, you get all the web search resources like videos and step-by-step solutions to that question.

The app is available in various languages, including English, Spanish, Korean, Japanese, and a few more. 

Who is it for?

• College students who enjoy solving shaky math questions.
• Students who want to be good at solving algebra, calculus, and other equations.
• Elementary school kids.

Camera math calculator

This app solves math doubts from basic to advanced graphical equations. As the name suggests, it’s the homework solver that scans and solves any math word problems by taking a picture. It has a straightforward user interface, decluttered with tools. 

Using the scientific calculator, you can figure out a step-by-step solution to mathematical expressions like decimals, algebra, trigonometry, integrals, logarithms, square roots, and much more. If you’re already good at using a smart calculator, this app is no wonder and can simplify the way you solve math equations. 

The photo-solving part of the app is what makes it set apart from the rest. Besides, the scientific calculator seems to have everything a college student needs to solve complicated doubts. To sum up, this app solves any math word problems you throw its way. 

• Students who want to solve equations and inequalities.
• Who wants help with solving functions, polars, param graphs, interactions, roots, and critical points.

Multiplication table by Allmath

Allmath is a multiplication table app that is widely used by students to learn times tables effortlessly.

It makes it easy for users to learn different times tables with the help of a multiplication chart. This math app provides essential repetition for children to strengthen their knowledge of times tables.

Even though it has an outdated design that may not appeal to many users, but it is highly effective in memorizing timetables and that is all counts. However, if you’re looking for any higher school mathematics, this app is certainly not a good option. 

Under the hood, the app opens to a page containing the multiplication chart of the first 12 times table.

The chart was arranged in such a way that when a user clicks on a specific number, it quickly generates the corresponding multiples of that number.

To use this incredible app, just enter the numerical digit in the input box or click any number on the screen to get its factors.

For instance, if you click on the number ‘25’, then the fifth column and fifth row will be highlighted.

The apps will generate its exact multiple factors within a blink of an eye. You might find it hard to use it for the first time, but as you stick around and observe its every feature, you’ll get the hang of it. 

Who’s Multiplication Table App for?

• Children for learning times tables without any hassle.
• Students who want to quickly solve math problems in their heads.
• Kids to boost their confidence in understanding the concept of multiplying different numbers.

Key Features

• Generates tables of up to 10,000 in seconds.
• Gives an option to copy the table in real-time with one click.
• Provides a feature to search factor of a number less than or equal to 144.
• Available on both Android and iOS platforms.

Free | No Ads |  iOS here  

Wrapping Up

We’ve compiled a list of apps to help you solve any math word problems. To get the best experience out of these apps, you may consider trying out free trials or premium subscriptions they have to offer.

All these apps have the best smart calculator in common, to solve all sorts of math problems such as trigonometry, integrals, algebra, e.t.c. If you’re a college student, teacher, kid, or parent, then any math problem solver app can be a great aid to your math solving skills. 

The 8 Best Apps to Solve Math Problems on Android and iOS

A lot of people find hardship in learning topics such as trigonometry, calculus, or even a few fundamental arithmetic problems. Fortunately, there are some apps available to help you solve complex math problems and explain the topic in depth.

Here are some of the best apps available on Android and iOS to help you grasp the techniques and solve math problems without delay.

1. Photomath

The Photomath app intelligently uses augmented reality capabilities to solve math problems. All you need to is open the app and point out the camera at a math problem or upload a picture of the question onto the app.

The app will scan the uploaded data’s contents and finds the appropriate solution for the problems instantly. Following that, it displays the solution and provides step-by-step procedures with animations and various strategies.

You can opt for the Photomath Plus subscription that provides much more with deeper explanations, hints, and animated tutorials. The monthly or yearly membership to Photomath Plus will cost you $9.99 or $59.99. 

Download : Photomath for Android | iOS (Free, subscription available)

Mathway supports basic to complex mathematics concepts. It lets you scan the problem with your device’s camera and brings up the solution with detailed steps which leads to the answer. 

As you input problems manually, Mathway will solve and deliver the solution right away. It has a dedicated keyboard with different functions and symbols and an algebra calculator which offers instant answers to complex questions.

The user interface of this app allows you to use all the features with a minimalistic approach. Mathway is a free to use app with limited features. However, you can upgrade to a membership plan to access all of its features for $9.99/month or $39.99/year.

Download: Mathway for Android | iOS (Free, subscription available)

3. Microsoft Math Solver

The Math Solver from Microsoft can instantly give you solutions for all math problems with a single snap from your camera. It can give back solutions for problems such as trigonometry, algebra, calculus, and word problems.

You can use the handwritten notes of a math problem to scan it and receive solutions with step-by-step explanations. Moreover, it supports multiple languages, interactive graphs, online video lectures, and daily practice quizzes. 

This app is free and doesn’t require subscription fees for any additional features. Furthermore, Microsoft has given an integration of using the math solver as an extension on Edge browser for desktop. 

Download: Microsoft Math Solver for Android | iOS (Free)

4. Socratic by Google

The Socratic app is Google’s solution to help students solve complex math problems or explain complicated topics in many other subjects. It supports subjects like algebra, geometry, trigonometry, calculus, and more for mathematics-related topics.

In terms of other subjects, Socratic includes various other topics like biology, chemistry, physics, history, and poetry. You can scan math problems, physics questions, and word problems and directly get the results on the screen. 

This app from Google will help you resolve the problem in every way possible with comprehensive search results. Socratic makes use of the answers from Google search results and YouTube for videos to provide a more accurate solution. 

Download : Socratic by Google for Android | iOS (Free)

5. CameraMath

CameraMath uses photos to answer problems. All you have to do is take a photo with your device’s camera or one of your stored images from the gallery, crop the region of interest to the appropriate question, and then hit solution. And the app will start doing its magic.

It assists students in checking their answers and, if incorrect, informs them how to rectify their method, making it an excellent math solver app. CameraMath uses both the camera and existing photo files to scan the problems.

There’s a dedicated Ask section in the app where you can ask the help of tutors for help. Camera Math is a free to use app with subscription plan available to unlock all the features. However, it offers a 7-day free trial to test out the features before you make a decision. You can continue using these features after the trial period at $8.99/month or up to $59.99/year.

Download: CameraMath for Android | iOS (Free, subscription available)

6. Maple Calculator

Maple Calculator provides solutions, 2D and 3D graphs, and even step-by-step instructions; a free and capable math solver tool. It can display solutions for mathematical problems by simply entering the problems manually.

You can extract solutions for various topics such as algebra, pre-calculus, calculus, linear algebra, and differential equations using this app. You can even use your camera to enter problems, allowing you to verify your assignments quickly.

Along with the solution, you also receive complete step-by-step answers to a wide range of math problems, such as resolving systems of equations, determining limits, derivatives, and integrals, conducting matrix operations, and more.

Download: Maple Calculator for Android | iOS (Free, subscription available)

Cymath offers a thorough step-by-step tutorial on answering math problems, just like the other arithmetic problem-solving apps on this list. Cymath is very user-friendly and excellent at providing simple and complicated mathematical solutions.

You may also scan and submit arithmetic problems using the camera. Additionally, this program covers virtually every known topic in mathematics, including Algebra, Calculus, Trigonometry, and more. It even offers a Reference section with some fundamental formulae, rules, and equations that might be useful.

Cymath is free, but you can upgrade to the $5/month Premium membership, which removes adverts and offers additional features, including reference materials, step-by-step detailed walkthroughs, and bookmarks. 

Download: CyMath for Android | iOS (Free, subscription available)

8. MyScript Calculator

The MyScript Calculator works much differently from all the apps mentioned in the list. You can manually scribble or write the math problem on the screen to get better solutions. 

Moreover, using scratching motions, you can quickly erase unwanted text. MyScript simulates putting a problem down on paper and to solve math problems quickly. The script can display results using Fractions and has a history page that can retrieve your previous calculations.

Besides, MyScript Calculator supports basic arithmetic, square, and cube roots, apart from trigonometry equations, logarithms, and percentages. However, you can get it on Android and iOS for $2.99 .

Download: MyScript Calculator for Android | iOS ($2.99)

Start Solving Math Problems The Right Way

These were some of the best apps to solve complex math problems at your fingertips. It’s an entirely new way to solve math problems where you can take a snap of the problem and check out the solution on your screen.

If you need help answering more challenging problems, these apps can assist you in completing your homework and other projects. And now that you have worked on your maths problems, you can listen to some good music using the best music apps for your Android phone.

Next Article : 9 Free Music Apps for Android You Should Get!

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• \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
• \mathrm{Kira\:went\:for\:a\:drive\:in\:her\:new\:car.\:She\:drove\:for\:142.5\:miles\:at\:a\:speed\:of\:57\:mph.\:For\:how\:many\:hours\:did\:she\:drive?}
• \mathrm{The\:sum\:of\:two\:numbers\:is\:249\:.\:Twice\:the\:larger\:number\:plus\:three\:times\:the\:smaller\:number\:is\:591\:.\:Find\:the\:numbers.}
• \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
• \mathrm{You\:deposit\:3000\:in\:an\:account\:earning\:2\%\:interest\:compounded\:monthly.\:How\:much\:will\:you\:have\:in\:the\:account\:in\:15\:years?}
• How do you solve word problems?
• To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
• How do you identify word problems in math?
• Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
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• Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
• What is an age problem?
• An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as 'x years ago,' 'in y years,' or 'y years later,' which indicate that the problem is related to time and age.

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6 Best Apps That Solve Math Problems

By Med Kharbach, PhD | Last Update: May 23, 2023

Math can be daunting, but it doesn’t have to be! Thankfully, there is a wide variety of tools and apps specifically designed to help students of all levels understand math in an accessible way. In today’s blog post, I share some of the best apps to help students solve math problems. 

Cymath is a popular math solver tool students can use to get assistance with their math problems. Students can either type in their math problem in Cymath’s search bar or use the camera of their device to snap a photo of their problem. Cymath recognizes the problem and provides step by step explanations. Cymath supports ‘equation solving, factoring, logarithms, exponents, complex numbers, quadratic equations, trigonometry, partial fraction decomposition, polynomial division, etc.’

2. Photomath

Photomath is another great math solver students can use to solve math problems. Photomath is only available as a mobile app for Android and iOS devices. The way it works is simple: After installing photomath, open the app and use it to scan a math problem or you can manually input the problem using the app’s smart calculator. Photomath takes care of the rest and provides detailed step by step explanations to the problem. Photomath covers various math topics including elementary math, geometry, trigonometry, word problems, algebra, calculus, statistics, and more.

Mathway is a free online math calculator that assists students with their arithmetic homework. Students can find answers to difficult math problems and access step-by-step explanations with a single click. This is an excellent approach for students to understand not just the answer but also the process that lead to that solution. Mathway covers a number of math topics including basic math, pre-algebra, algebra, trigonometry, calculus, statistics, and more. To learn more check out Mathway full tutorial .

4. DeltaMath

DeltaMath is another good math problem solving app for students. It offers randomized math problems for students grades 6 to 12 with the ability to get instant feedback on their performance. There are over 1800 ready-made math problems all of which are aligned to Common Core. The premium version of DeltaMath offers instructional videos for each problem, auto-grading, and many more. To learn more, check out DeltaMath full tutorial .

5. Wolfram Alpha

Wolfram Alpha It is an app that can be used to perform calculation, provide mathematical, scientific, and other forms of expert-level answers in an easy-to-understand format. It also provides unique features such as visualizations and step-by-step solutions for complex problems.

6. Gauthmath

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Meet Med Kharbach, PhD

Dr. Med Kharbach is an influential voice in the global educational technology landscape, with an extensive background in educational studies and a decade-long experience as a K-12 teacher. Holding a Ph.D. from Mount Saint Vincent University in Halifax, Canada, he brings a unique perspective to the educational world by integrating his profound academic knowledge with his hands-on teaching experience. Dr. Kharbach's academic pursuits encompass curriculum studies, discourse analysis, language learning/teaching, language and identity, emerging literacies, educational technology, and research methodologies. His work has been presented at numerous national and international conferences and published in various esteemed academic journals.

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Can AI Solve the Math Mysteries Stumping the Field’s Brightest Minds?

Artificial Intelligence already won a gold ribbon in the most elite high school math competition. It could help humans conduct boundary-pushing math research next.

Each year since 1959, high school math students from more than 100 countries have competed to solve a wide variety of math problems involving algebra , geometry , and number theory quickly and elegantly. Many IMO winners have secured prestigious math awards as adults, including the coveted Fields Medal .

In essence, IMO is a benchmark for students to see if they have what it takes to succeed in the field of mathematics. Now, artificial intelligence has aced the test—well, the geometry part at least.

In a paper published this January in Nature , a team of scientists from Google’s DeepMind have introduced a new AI called AlphaGeometry that’s capable of passing the geometry section of the International Math Olympiad without relying on human examples.

“We’ve made a lot of progress with models like ChatGPT … but when it comes to mathematical problems, these [large language models] essentially score zero,” Thang Luong , Ph.D., a senior staff research scientist at Google DeepMind and a senior author of the AlphaGeometry paper, tells Popular Mechanics . “When you ask [math] questions, the model will give you what looks like an answer, but [it actually] doesn’t make sense.”

For example, things get messy when AI tries to solve an algebraic word problem or a combinatorics problem that asks it to find the number of permutations (or versions) of a number sequence.

To answer math questions of this caliber , AlphaGeometry relies on a combination of symbolic AI—which Luong describes as being precise but slow—and a neural network more similar to large language models (LLMs) that is responsible for the quick, creative side of problem-solving.

Yet, math experts aren’t convinced that an AI made to solve high school-level math problems is ready to take off the training wheels and tackle more difficult subjects, e.g. advanced number theory or combinatorics, let alone boundary-pushing math research.

Why AI Struggles With Math

While LLM-powered AI tools have exploded in the past two years, these models have routinely struggled to handle math problems. This is part of what makes AlphaGeometry stand out from the crowd. But even so, that doesn’t necessarily mean it’s ready to tackle higher-level math yet.

.css-2l0eat{font-family:UnitedSans,UnitedSans-roboto,UnitedSans-local,Helvetica,Arial,Sans-serif;font-size:1.625rem;line-height:1.2;margin:0rem;padding:0.9rem 1rem 1rem;}@media(max-width: 48rem){.css-2l0eat{font-size:1.75rem;line-height:1;}}@media(min-width: 48rem){.css-2l0eat{font-size:1.875rem;line-height:1;}}@media(min-width: 64rem){.css-2l0eat{font-size:2.25rem;line-height:1;}}.css-2l0eat b,.css-2l0eat strong{font-family:inherit;font-weight:bold;}.css-2l0eat em,.css-2l0eat i{font-style:italic;font-family:inherit;} “The challenge of AI is that [it] cannot come up with new concepts.”

Marijin Heule , Ph.D., is an associate professor of computer science at Carnegie Mellon University whose work focuses on another kind of automated theorem prover called SAT solvers. In this case, “SAT” refers to a measure of validity called “satisfiability” and not the math section of the high school SAT.

“When it comes down to solving math problems or problems in general, the challenge of AI is that [it] cannot come up with new concepts,” Heule tells Popular Mechanics .

This limitation impacts symbolic AI and neural networks in different ways, Heule explains, but both stem from the issue that these AI rely on an existing bank of human knowledge. However, this isn’t exactly true for AlphaGeometry because it relies on synthetic data , which isn’t based on human examples but is made to mimic them.

While AIs might not be effective mathematicians on their own, that doesn’t necessarily mean they can’t be great apprentices to human mathematicians.

“At least for the foreseeable future, [AI will] be mostly assisting,” Heule says. “One of the other things that these machines can do really well is they can tell you if there is an incorrect argument and [offer] a counterexample.”

These AI-powered nudges can help researchers distinguish research dead-ends from promising paths.

Why Geometry?

Of all the math fields the AlphaGeometry team could have tackled, Luong says there were a few factors that helped them zero in on geometry .

“I think geometry is visually appealing [and] we do geometry as kids,” he says. “And geometry is everywhere in design and architecture, so it’s very important.”

Geometry also offered a unique challenge as being one of the International Math Olympiad fields with the fewest number of proof examples written in a computer-friendly format (e.g. without pictures).

While Heule agrees that AlphaGeometry is “really cool work,” he admits that designing a geometry solver is one of the easier tasks for a math AI.

While human computer scientists did work behind the scenes to formalize geometry problems in a way that computers can reason about, Heule says the reasoning is pretty straightforward once that preparation work is complete.

In part, this is because the considerations of geometry problems (e.g. the relationship between angles, points, and lines) are fairly contained compared to more complex areas, he says.

Take for example Fermat’s Last Theorem . This number theory problem took over three centuries to solve, and Heule says it would be extremely difficult to explain its solution to AI, let alone ask AI to solve it.

“Large-scale fields of modern mathematics … are so big that any one of them contains multitudes,” says Heather Macbeth , Ph.D., an assistant professor of mathematics at Fordham University with a focus on geometry. “I think, maybe a more precise question would be to talk about the styles of problems, which might occur within any mathematical field that some of these AI systems are useful for,” she tells Popular Mechanics.

For example, AI could be useful for pattern recognition or so-called needle-in-a-haystack problems where mathematicians are looking for something with a very particular property, Macbeth says.

Toward General AI

While AI likely won’t be solving centuries-old math problems in the near future, Luong is confident there are still existing advancements on the horizon for AlphaGeometry and its ilk. Perhaps these models could even graduate high school and take on the Putnam Mathematical Competition for undergraduate students.

But beyond math tests themselves, Luong is hopeful about what models like AlphaGeometry could mean for the field of AI at large—in particular, researchers’ goals of designing a generalized AI.

“If we want to talk about building an artificial general intelligence, where we want the AI to be as smart as a human, I think the AI needs to be able to perform deep reasoning,” Luong says. “This means that the AI needs to be able to plan ahead for many, many steps [and] see the big picture of how things connect together … the IMO is the perfect test for that.”

Sarah is a science and technology journalist based in Boston interested in how innovation and research intersect with our daily lives. She has written for a number of national publications and covers innovation news at Inverse .

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Become a mental math genius - start to practice now! FastMath will turn you into a math genius in no time! It's the ultimate way to master solving math problems quickly in your head. Perfect for students, professionals, brain training, or just for fun, FastMath offers a wide variety of exercise types, number types, and difficulty levels to improve your math skills. Discover the power of mental arithmetic with these fantastic features: - Race against time with standardized tests to evaluate your performance level - Set high scores to motivate and challenge yourself - Compete with friends on leaderboards to achieve math supremacy - Discover cool math tricks for lightning-fast problem solving - Trainer offers maximum flexibility with different number and exercise types - Monitor your progress and statistics to improve daily - Addictive challenges help you develop a lasting habit - Earn unique achievements the more you practice Supported number types: - Natural numbers - Decimal numbers - Giant numbers Supported exercise types: - Addition - Subtraction - Multiplication - Division - Squares - Square roots - Fractions - Percentages - Modulo Join thousands of learners, parents, schools, and teachers around the world who love FastMath! If there's something we can improve, or if you need help, contact our support team: [email protected] Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula Privacy Policy: https://www.fastmath.app/privacy

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After just one week I already noticed my abilities improve. It was frustrating that I used to be really good at it, but since I’ve had little practice in recent years, my skills have diminished. This app is clear and straightforward. You can get started immediately improving your math skills. Definitley recommend!

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Thanks for sharing! We are happy to hear that you like Fast Math and are incredibly motivated to see that it helps you improve your mental math skills. We hope you’ll improve even further :)

Great for keeping skills sharp

Tried multiple apps (free version for all) and this was the most functional and easy to use. Thinking about upgrading to pro to use the trainer mode.

Thanks for the great feedback, we really appreciate it!

Multiplication helper

This is really good for multiplication and adding especially since you get to pick which level you’re on I don’t like that there’s a bunch of in app purchases. it is also a little glitchy when you are trying to answer the question you answer it and it stops and waits but it’s a really good multiplication, adding helper. It really helps every skill I have in math and it strengthens my grades.

Hi and thanks for your review! We are happy that you like FastMath and that it helps you to improve your mental math skills :) As for the glitches you mentioned: We will try to make sure to squash any bugs that might negatively affect the performance of the app … so keep an eye out for future updates.

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Netflix's hit sci-fi series '3 Body Problem' is based on a real math problem that is so complex it's impossible to solve

• The three-body problem is a centuries-old physics question that puzzled Isaac Newton .
• It describes the orbits of three bodies, like planets or stars, trapped in each other's gravity.
• The problem is unsolvable and led to the development of chaos theory.

While Netflix's "3 Body Problem" is a science-fiction show, its name comes from a real math problem that's puzzled scientists since the late 1600s.

In physics, the three-body problem refers to the motion of three bodies trapped in each other's gravitational grip — like a three-star system.

It might sound simple enough, but once you dig into the mathematics, the orbital paths of each object get complicated very quickly.

Two-body vs. three- and multi-body systems

A simpler version is a two-body system like binary stars. Two-body systems have periodic orbits, meaning they are mathematically predictable because they follow the same trajectory over and over. So, if you have the stars' initial positions and velocities, you can calculate where they've been or will be in space far into the past and future.

However, "throwing in a third body that's close enough to interact leads to chaos," Shane Ross, an aerospace and ocean engineering professor at Virginia Tech, told Business Insider. In fact, it's nearly impossible to precisely predict the orbital paths of any system with three bodies or more.

While two orbiting planets might look like a ven diagram with ovular paths overlapping, the paths of three bodies interacting often resemble tangled spaghetti. Their trajectories usually aren't as stable as systems with only two bodies.

All that uncertainty makes what's known as the three-body problem largely unsolvable, Ross said. But there are certain exceptions.

The three-body problem is over 300 years old

The three-body problem dates back to Isaac Newton , who published his "Principia" in 1687.

In the book, the mathematician noted that the planets move in elliptical orbits around the sun. Yet the gravitational pull from Jupiter seemed to affect Saturn's orbital path.

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The three-body problem didn't just affect distant planets. Trying to understand the variations in the moon's movements caused Newton literal headaches, he complained.

But Newton never fully figured out the three-body problem. And it remained a mathematical mystery for nearly 200 years.

In 1889, a Swedish journal awarded mathematician Henri Poincaré a gold medal and 2,500 Swedish crowns, roughly half a year's salary for a professor at the time, for his essay about the three-body problem that outlined the basis for an entirely new mathematical theory called chaos theory .

According to chaos theory, when there is uncertainty about a system's initial conditions, like an object's mass or velocity, that uncertainty ripples out, making the future more and more unpredictable.

Think of it like taking a wrong turn on a trip. If you make a left instead of a right at the end of your journey, you're probably closer to your destination than if you made the mistake at the very beginning.

Can you solve the three-body problem?

Cracking the three-body problem would help scientists chart the movements of meteors and planets, including Earth, into the extremely far future. Even comparatively small movements of our planet could have large impacts on our climate, Ross said.

Though the three-body problem is considered mathematically unsolvable, there are solutions to specific scenarios. In fact, there are a few that mathematicians have found.

For example, three bodies could stably orbit in a figure eight or equally spaced around a ring. Both are possible depending on the initial positions and velocities of the bodies.

One way researchers look for solutions is with " restricted " three-body problems, where two main bodies (like the sun and Earth) interact and a third object with much smaller mass (like the moon) offers less gravitational interference. In this case, the three-body problem looks a lot like a two-body problem since the sun and Earth comprise the majority of mass in the system.

However, if you're looking at a three-star system, like the one in Netflix's show "3 Body Problem," that's a lot more complicated.

Computers can also run simulations far more efficiently than humans, though due to the inherent uncertainties, the results are typically approximate orbits instead of exact.

Finding solutions to three-body problems is also essential to space travel, Ross said. For his work, he inputs data about the Earth, moon, and spacecraft into a computer. "We can build up a whole library of possible trajectories," he said, "and that gives us an idea of the types of motion that are possible."

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Art of Problem Solving, Inc.

Math curriculum intern.

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At AoPS, we believe that students learn best by working through challenging problems that present opportunities to develop problem-solving and critical reasoning skills through productive struggle and creative thinking. Our goal is for students to build a deep conceptual understanding of mathematics by grappling with why mathematics works.

As a math curriculum intern at our sunny San Diego headquarters, you’ll get to collaborate with and be mentored by our team of experienced mathematicians and educators. Together you will work to build engaging content for motivated students in middle and high schools, and explore career paths within AoPS.

The Math Curriculum Intern will be:

• Creating lessons for our online self-paced courses .
• Helping to curate and write the USAMTS and other local contests.
• Helping develop materials for our WOOT and CodeWOOT classes.
• Assisting with other duties, as assigned.

You may be a good fit for the position if:

• You’re considering a career in curriculum development and want to spend your summer doing meaningful work.
• You’ve built a passion for math through teaching/tutoring or doing mathematics and are eager to share this with motivated students.
• You have a strong mathematical background and enjoy solving difficult problems.
• You’re excited to help build the curriculum you wish you had as a kid and want to learn more about AoPS innovative programs, curriculum, and approach.

Why Join AoPS:

This is a hybrid, temporary 40 hour per week position (generally 10-12 weeks) based at our headquarters in San Diego, CA. The pay for this position is $30/hour. Here are some things you can look forward to:

• Impact : The opportunity to impact students across the world in giving them engaging and exciting math to challenge them.
• Growth opportunity: The potential to be considered for future employment with AoPS as well as events and networking opportunities.
• Culture : Work and collaborate with an organization filled with builders and life-long learners who strive to discover, inspire, and train the great problem solvers of the next generation
• Flexibility: Casual work environment with a hybrid work week and flexible scheduling
• Future Planning: 401K with company match
• Quality of Life: Sick leave and supportive leadership
• Ease of Transition: Relocation bonus (if currently located outside of San Diego)

Background Check:

Please note that employment is contingent on the successful completion of a background check.

Work Authorization:

Please note that in order to be considered for this position you must be legally authorized to work in the US. We are unable to offer sponsorship, including STEM-OPT and H-1B.

About AoPS:

Art of Problem Solving (AoPS) is on a mission to discover, inspire, and train the great problem solvers of the next generation. Since 2003, we have trained hundreds of thousands of the country’s top students, including nearly all the members of the US International Math Olympiad team, through our online school, in-person academies, textbooks, and online learning systems. While our primary focus has been math for most of our history, through the years we have expanded our unique problem solving curriculum into more subjects, such as language arts, science, and computer science.