Free math calculators with steps
Pick the skill you are working on, enter the problem, and follow the complete solution for free.
General Math
Work with fractions, percentages, common factors, common multiples, and multi-step word problems.
Fraction CalculatorCalculate with fractions and mixed numbers while keeping every common-denominator and simplification step visible.Percentage CalculatorSolve percent-of, percent-change, increase, decrease, and reverse-percentage questions with the base value clearly identified.GCF and LCM CalculatorFind common factors and multiples through prime factorization or the Euclidean algorithm, with sign and zero cases handled.Math Word Problem SolverTranslate a written problem into variables and equations, solve it in context, and check the answer with the original facts.
Algebra
Solve equations, simplify expressions, factor polynomials, and work through the methods used in Algebra I and II.
Solve for X CalculatorEnter an equation and see how to isolate x, simplify both sides, and check the result.Quadratic Equation CalculatorFind real or complex roots and see which quadratic method fits the equation.Simplify CalculatorCombine like terms, reduce fractions, and rewrite expressions in a cleaner equivalent form.Factoring CalculatorBreak a polynomial into factors using the pattern that fits, then verify by expanding.Systems of Equations CalculatorSolve two or more equations together with substitution, elimination, or row operations.Inequality CalculatorSolve an inequality, track sign changes, and write the answer in interval notation.Exponent CalculatorSimplify powers and solve exponential equations with the exponent laws shown clearly.Complete the Square CalculatorTurn a quadratic into a perfect square and use it to find vertex form or roots.Slope CalculatorFind rise over run from two points or read the slope from a line equation.Distance Formula CalculatorEnter two points to get the exact distance, decimal value, and substitution steps.
Precalculus
Review the polynomial, rational, exponential, and logarithmic skills that carry into trigonometry and calculus.
Logarithm CalculatorEvaluate, expand, condense, or solve logarithms while keeping every domain restriction visible.Polynomial CalculatorWork with polynomial operations, factors, roots, and remainders in one place.Rational Expression CalculatorSimplify algebraic fractions and keep the original domain restrictions with the answer.Inverse Function CalculatorReverse a one-to-one function, track domain restrictions, and verify the result by composition.Function Composition CalculatorSubstitute one function into another in the correct order, simplify it, and determine where the composition is defined.Domain and Range CalculatorFind valid inputs and possible outputs from a function formula, with restrictions written in interval or set-builder notation.
Trigonometry
Verify identities, use exact unit-circle values, and solve triangles with the Law of Cosines.
Trigonometric Identity CalculatorVerify an identity or simplify one side while seeing the exact rule behind every rewrite.Unit Circle CalculatorEnter an angle to find its coterminal angle, quadrant, reference angle, coordinates, and exact trig values.Law of Cosines CalculatorUse two sides and their included angle, or all three sides, to find a missing triangle measurement.
Calculus
Work through derivatives, integrals, limits, multivariable differentiation, and infinite series with complete steps.
Derivative CalculatorDifferentiate a function, identify each rule, and simplify the result one step at a time.Integral CalculatorFind an indefinite integral, follow the chosen method, and keep the constant of integration.Definite Integral CalculatorEvaluate an integral between two bounds and separate signed accumulation from geometric area.Limit CalculatorStudy what a function approaches from the left, right, or at infinity, even when direct substitution fails.Partial Derivative CalculatorDifferentiate a multivariable function with respect to one variable while holding the others fixed.Implicit Differentiation CalculatorDifferentiate an equation where y is not isolated, collect the y′ terms, and solve for dy/dx.Taylor Series CalculatorBuild a Taylor or Maclaurin polynomial from a function, expansion center, and chosen degree.Series Convergence CalculatorChoose a valid convergence test, check its conditions, and classify an infinite series.
Linear Algebra
Calculate matrix operations, determinants, inverses, eigenvalues, and vector products with dimension checks and complete steps.
Matrix CalculatorPerform matrix operations with dimension checks, exact entries, and each row or column calculation shown.Determinant CalculatorCalculate the scalar determinant of a square matrix and track every cofactor sign or row-operation effect.Inverse Matrix CalculatorFind A⁻¹ with exact row operations, detect a singular matrix, and verify the result with the identity.Eigenvalue CalculatorFind the characteristic polynomial, eigenvalues, and eigenspaces of a square matrix.Dot Product CalculatorMultiply matching vector components, add them, and use the scalar result to study angle or projection.Cross Product CalculatorFind the oriented vector perpendicular to two 3D vectors, then check its magnitude and direction.
Statistics
Summarize data, measure spread, standardize values, calculate probabilities, and count possible outcomes.
Standard Deviation CalculatorMeasure how far values spread from the mean, with the sample or population denominator shown clearly.Mean Median Mode CalculatorCompare three measures of center and see how sorting, frequencies, and outliers affect them.Probability CalculatorTranslate an event question into the right rule without assuming independence or double-counting overlap.Permutation and Combination CalculatorCount ordered arrangements and unordered selections, with the order decision made before the factorials.Z-Score CalculatorStandardize a value as a signed number of standard deviations from its mean.
Graphing
Plot and compare functions on an interactive coordinate plane, then ask for a step-by-step feature analysis.