Examples for

Wolfram|Alpha has broad knowledge and deep computational power when it comes to math. Whether it be arithmetic, algebra, calculus, differential equations or anything in between, Wolfram|Alpha is up to the challenge. Get help with math homework, solve specific math problems or find information on mathematical subjects and topics.

Do basic arithmetic. Work with fractions, percentages and similar fundamentals. Solve place value and word problems.

Compute the properties of geometric objects of various kinds in 2, 3 or higher dimensions. Explore and apply ideas from many subfields of geometry.

Work with various kinds of numbers. Check for membership in larger sets, such as the rationals or the transcendental numbers. Convert between bases.

Analyze integers; subsets of the integers, including the prime numbers; and related ideas.

Perform numerical analysis and optimization of systems and objects, including packing and covering of objects and control systems.

Make queries about various definitions and descriptions in mathematics.

Compute properties of datasets, perform statistical inference or model data. Work with probability distributions and random variables.

Find roots of and expand, factor or simplify mathematical expressions—everything from polynomials to fields and groups.

Solve differential equations of any order. Examine solutions and plots of the solution families. Specify initial conditions to find exact solutions.

Perform trigonometric calculations and explore properties of trigonometric functions and identities.

Explore sequences and recurrences, solve common problems in combinatorics and compute properties of graphs and lattices.

Evaluate Boolean logic expressions and expressions involving sets and set operators. Solve Boolean equations. Compute truth tables. Generate Venn diagrams.

Gather information about famous problems, conjectures, theorems and paradoxes. Learn about them and their formulators.

Compute the probabilities of certain events occurring. Compute joint, disjoint or conditional probabilities and apply them to real-world situations.

Compute integrals, derivatives and limits as well as analyze sums, products and series.

Visualize functions, equations and inequalities. Do so in 1, 2 or 3 dimensions. Make polar and parametric plots.

Explore and compute properties of vectors, matrices and vector spaces.

Analyze functions and expressions containing imaginary numbers or complex variables.

Examine the properties of mathematical functions, such as continuity, surjectivity and parity. Utilize notable special functions or number theoretic functions.

Compute; learn about algorithms, definitions and theorems involving; or find properties of continued fractions.

Get information about math Common Core Standards for kindergarten through eighth grade.