Ultimate Math Tools Directory
Choose from over 106 specialized math solvers. Select your subject below to get step-by-step solutions for your specific math problems.
Featured Calculators
Our most-used tools with dedicated step-by-step guides.
Simplify Calculator
Simplify any algebraic expression — polynomials, fractions, exponents — step-by-step.
Algebra Simplifier
Simplify linear, quadratic, polynomial, and rational expressions with full solutions.
Equation Simplifier
Simplify and solve equations with an = sign — linear, quadratic, and more.
Factoring Calculator
Factor polynomials using GCF, trinomial, difference of squares, and grouping methods.
Algebra
Factoring Trinomials
Learn how to factor trinomials step by step.
Solving Quadratic Equations
Master the quadratic formula and solve quadratic equations.
Linear Equations Solver
Solve linear equations with one or more variables step by step.
System of Equations Solver
Solve systems of linear equations using substitution, elimination, or matrices.
Polynomial Roots Finder
Find the real and complex roots of polynomials of any degree.
Simplify Algebraic Expressions
Learn how to combine like terms and simplify complex algebraic expressions.
Expand Algebraic Expressions
Expand and multiply polynomials using the distributive property.
Partial Fraction Decomposition
Decompose complex rational expressions into partial fractions.
Inequalities Solver
Solve linear, quadratic, and absolute value inequalities step by step.
Absolute Value Equations
Solve equations containing absolute values and find all possible solutions.
Radical Equations Solver
Solve equations involving square roots and other radicals.
Rational Equations Solver
Solve equations with rational expressions and variables in the denominator.
Completing the Square
Solve quadratic equations by completing the square.
Logarithmic Equations
Solve equations involving natural logarithms and logs of any base.
Exponential Equations
Solve equations where variables appear in exponents.
Binomial Expansion Calculator
Expand binomials to any power using the Binomial Theorem.
Calculus
Power Rule for Derivatives
Understand how to apply the power rule for taking derivatives.
Chain Rule Calculator
Calculate the derivative of composite functions using the chain rule.
Product Rule Calculator
Find the derivative of the product of two functions.
Quotient Rule Calculator
Compute the derivative of rational functions using the quotient rule.
Implicit Differentiation
Find the derivative of implicit relations and functions.
Second Derivative Calculator
Calculate the second derivative of any function to find concavity.
Indefinite Integral Calculator
Find the antiderivative and indefinite integral of mathematical functions.
Definite Integral Calculator
Compute the exact area under a curve using definite integrals.
Integration by Parts
Solve complex integrals using the integration by parts formula.
U-Substitution Integration
Use u-substitution to evaluate difficult integrals easily.
Integration by Partial Fractions
Integrate rational functions by decomposing them into partial fractions.
Trigonometric Integrals
Evaluate integrals involving powers of sine, cosine, tangent, and secant.
Limit Calculator
Evaluate the limit of a function as it approaches a specific value.
L'Hopital's Rule Calculator
Evaluate indeterminate limits using derivatives.
Taylor Series Calculator
Find the Taylor polynomial expansion of a function around a point.
Maclaurin Series Expansion
Calculate the Maclaurin series expansion of common functions.
Area Between Curves
Calculate the precise area enclosed between two intersecting functions.
Geometry
Pythagorean Theorem
Calculate the hypotenuse of a right triangle using the Pythagorean theorem.
Area of a Circle
Calculate the exact area of a circle given its radius or diameter.
Circumference Calculator
Find the circumference of any circle easily.
Area of a Triangle
Compute the area of a triangle using base/height or Heron's formula.
Area of a Rectangle
Calculate the area and perimeter of a rectangular shape.
Area of a Trapezoid
Find the area of any trapezoid given its bases and height.
Volume of a Sphere
Calculate the 3D volume of a spherical object.
Surface Area of a Sphere
Compute the total surface area of a sphere.
Volume of a Cylinder
Determine the volume of a right circular cylinder.
Surface Area of a Cylinder
Calculate the lateral and total surface area of a cylinder.
Volume of a Cone
Find the exact volume of a cone given its radius and height.
Surface Area of a Cone
Compute the total surface area of a cone including its base.
Distance Formula Calculator
Find the exact distance between two points on a Cartesian plane.
Midpoint Calculator
Calculate the exact midpoint between two coordinates.
Trigonometry
Sine, Cosine, Tangent Calculator
Evaluate basic trigonometric functions for any angle.
Inverse Trig Functions
Calculate arcsin, arccos, and arctan to find unknown angles.
Law of Sines Calculator
Solve for missing sides and angles of any triangle using the Law of Sines.
Law of Cosines Calculator
Find missing triangle dimensions using the Law of Cosines.
Verify Trigonometric Identities
Simplify and verify complex trigonometric identities.
Unit Circle Calculator
Find exact radian and degree coordinates on the unit circle.
Degrees to Radians Converter
Convert any angle from degrees to radians accurately.
Radians to Degrees Converter
Easily convert radian measurements into standard degrees.
Statistics
Mean, Median, Mode Calculator
Calculate the central tendency of any dataset.
Standard Deviation Calculator
Compute the population and sample standard deviation of a dataset.
Variance Calculator
Find the statistical variance of numerical data.
Z-Score Calculator
Calculate the standard score (z-score) of a raw value.
Normal Distribution Probability
Find probabilities under the normal bell curve.
Confidence Interval Calculator
Calculate the confidence interval for a sample mean.
T-Test Calculator
Perform one-sample and two-sample t-tests.
Chi-Square Test Calculator
Calculate the chi-square statistic for categorical data.
Pearson Correlation Coefficient
Determine the linear correlation between two variables (r).
Linear Regression Calculator
Find the line of best fit for a set of data points.
Matrices
Matrix Addition
Add two or more matrices together.
Matrix Multiplication
Multiply two matrices and find the resulting product matrix.
Matrix Determinant
Calculate the determinant of 2x2, 3x3, and larger square matrices.
Inverse Matrix Calculator
Find the inverse of a square matrix.
Matrix Transpose
Compute the transpose of any matrix.
Eigenvalues & Eigenvectors
Calculate the eigenvalues and corresponding eigenvectors of a matrix.
Cramer's Rule Solver
Solve systems of linear equations using determinants and Cramer's Rule.
Gaussian Elimination
Reduce a matrix to row echelon form (REF) using Gaussian elimination.
Reduced Row Echelon Form (RREF)
Convert any matrix into its reduced row echelon form.
Vector Cross Product
Calculate the 3D cross product of two vectors.
Vector Dot Product
Compute the scalar dot product of two vectors.
Number Theory
Prime Factorization
Find all the prime factors of any given integer.
Greatest Common Divisor (GCD)
Calculate the GCD or GCF of two or more numbers.
Least Common Multiple (LCM)
Find the lowest common multiple of a set of integers.
Modulo Calculator
Find the remainder of a division operation using modular arithmetic.
Scientific Notation Converter
Convert standard numbers to scientific notation and vice versa.
Binary to Decimal Converter
Easily convert between binary, decimal, and hexadecimal number bases.
Significant Figures Calculator
Count the number of sig figs and round numbers accurately.
Fractions
Add & Subtract Fractions
Easily add and subtract fractions with unlike denominators.
Multiply & Divide Fractions
Learn how to multiply and divide simple and complex fractions.
Simplify Fractions
Reduce fractions to their simplest form automatically.
Mixed Numbers Calculator
Convert between improper fractions and mixed numbers.
Fraction to Decimal
Convert any mathematical fraction into a decimal value.
Decimal to Fraction
Convert standard decimals and repeating decimals back into fractions.
Pre Algebra
Order of Operations (PEMDAS)
Solve arithmetic expressions correctly using PEMDAS/BODMAS rules.
Percentage Calculator
Calculate percentages, percent change, and percent differences.
Ratios and Proportions
Solve proportional relationships and simplify mathematical ratios.
Exponents Calculator
Evaluate expressions with large exponents and fractional powers.
Square Root Calculator
Find exact and approximated square roots and cube roots.
Physics
Kinematics Calculator
Solve for velocity, acceleration, time, and displacement in 1D motion.
Newton's Second Law
Calculate force, mass, and acceleration using F=ma.
Kinetic Energy Calculator
Find the kinetic energy of a moving object.
Potential Energy Calculator
Calculate the gravitational potential energy of an object.
Work and Power Calculator
Determine the mechanical work done and power output.
Momentum Calculator
Calculate the momentum of an object (p = mv).
Finance
Simple Interest Calculator
Calculate the amount of simple interest earned over time.
Compound Interest Calculator
Determine the future value of an investment with compound interest.
Loan Payment Calculator
Calculate monthly mortgage or car loan amortization payments.
Present Value Calculator
Find the present value of a future sum of money.
Future Value Calculator
Calculate the future value of an annuity or investment.
ROI Calculator
Calculate the exact Return on Investment (ROI) percentage.