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Algebra & Calculus Calculators

Equation solvers, derivatives, integrals, limits, matrices, series and advanced math calculators. 74 free tools that run in your browser, no sign-up needed.

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Graphing CalculatorPlot multiple functions with zoom, pan, intersections and a value table.Exponent CalculatorRaise any number to a power, including negative and fractional exponents.Logarithm CalculatorCalculate log in any base, ln, log10, log2 and antilog with change-of-base steps.Quadratic Equation SolverSolve ax² + bx + c = 0 with exact roots, steps, vertex and a parabola graph.Matrix CalculatorAdd, multiply, invert and row-reduce matrices up to 5×5 with exact fractions and steps.Prime Number CheckerCheck if a number is prime, factor it with a factor tree and list primes in a range.GCF and LCM CalculatorFind the GCF and LCM of two or more numbers with Euclid steps and prime factorization.Cubic Yard CalculatorConvert length, width and depth in any unit to cubic yards, cubic feet, m³ and material weight.Factorial CalculatorExact n! up to 5000! with digit count, trailing zeros and double factorial.Prime Factorization CalculatorFind prime factors in exponent form with a factor tree, divisor count and divisors list.Modulo CalculatorCalculate a mod n and the quotient, with floored, truncated and Euclidean rules.Exponential Growth CalculatorExponential growth and decay: final amount, rate or time, discrete or continuous.Linear Regression CalculatorLeast-squares line of best fit: slope, intercept, r, r², predictions and a scatter plot.System of Equations SolverSolve 2×2, 3×3 and 4×4 linear systems with exact fractions and step-by-step working.Cubic Equation SolverSolve ax³ + bx² + cx + d = 0 for real and complex roots with steps and a graph.Summation CalculatorEvaluate sigma notation: sum any expression in n from a to b with partial sums and a chart.Arithmetic Sequence CalculatorFind the n-th term, sum and full list of an arithmetic sequence, or d from two terms.Geometric Sequence CalculatorFind the n-th term, sum and infinite sum of a geometric sequence, or r from two terms.Fibonacci CalculatorExact n-th Fibonacci number (BigInt), sequence lists, Fibonacci check and golden ratio.Factors CalculatorAll factors and factor pairs of a number, prime factors, divisor count and perfect check.Depth of Field CalculatorNear and far focus limits, depth of field and hyperfocal distance for any camera or lens.Crop Factor CalculatorCrop factor, full-frame equivalent focal length and aperture, and field of view for any sensor.Completing the Square CalculatorRewrite ax² + bx + c in vertex form a(x − h)² + k step by step and solve it.Derivative CalculatorSymbolic derivative of any f(x) up to 5th order, with steps, slope at a point and a graph.Exposure Value CalculatorEV from aperture, shutter and ISO, or solve any missing setting with sunny 16 presets.Factoring Trinomials CalculatorFactor trinomials and polynomials: GCF, ac method, difference of squares, cubes, with steps.Integral CalculatorDefinite integral of f(x) from a to b with adaptive Simpson, area graph and antiderivative.Least Common Denominator CalculatorFind the LCD of two or more fractions and rewrite them as equivalent fractions, with steps.Limiting Reactant CalculatorFind the limiting reactant, theoretical yield and leftover excess from an equation.Parabola CalculatorVertex, focus, directrix, axis, intercepts and graph of a parabola from its equation.Polynomial Root FinderFind all real and complex roots of a polynomial up to degree 10, with the factored form.Prime Number List GeneratorList all primes in a range or the first N primes with a fast sieve; copy or download the list.Quadratic Regression CalculatorFit y = ax² + bx + c (or up to degree 6) to x, y data with R², predictions and a graph.Scatter Plot MakerPaste X,Y pairs for a scatter plot with trendline, equation, r and R². Download PNG.Synthetic Division CalculatorDivide polynomials by x − c (synthetic table) or any polynomial (long division) with steps.3D Graphing CalculatorPlot z = f(x, y) surfaces and 3D parametric curves; rotate, zoom, add contours, save PNG.Algebra CalculatorSimplify, expand and factor algebraic expressions with exact answers and step-by-step working.Determinant CalculatorDeterminant of a 2×2 to 8×8 matrix with exact fractions and cofactor or row-reduction steps.Differential Equation SolverSolve first- and second-order ODEs step by step, with initial conditions, an RK4 check and a graph.Domain and Range CalculatorFind the domain and range of a function in interval notation, with steps and a graph.Eigenvalue and Eigenvector CalculatorEigenvalues (real or complex), eigenvectors and the characteristic polynomial of a square matrix.Equation SolverSolve any equation for x: exact roots, complex roots, numeric answers, steps and a graph.Inequality CalculatorSolve linear, quadratic, rational and absolute value inequalities with steps and a number line.Inverse Function CalculatorFind the inverse f⁻¹(x) of a function with steps, domain restrictions and a graph.Laplace Transform CalculatorLaplace transform of f(t) with the table rule used for each term and the region of convergence.Limit CalculatorEvaluate limits at a point or at infinity, one-sided or two-sided, with steps, table and graph.Linear Interpolation CalculatorInterpolate or extrapolate y for any x from two points or a data table, with steps and a plot.Matrix Inverse CalculatorFind the inverse of a 2×2 to 8×8 matrix in exact fractions with Gauss–Jordan or adjugate steps.Partial Derivative CalculatorPartial derivatives ∂/∂x, ∂/∂y, second and mixed orders with steps, gradient and Hessian.RREF CalculatorRow reduce any matrix to RREF with exact fractions, every row operation, pivots and rank.Stem and Leaf Plot MakerMake stem-and-leaf plots (standard, split stems or back-to-back) with a key; copy or save PNG.Taylor Series CalculatorTaylor and Maclaurin polynomials of any f(x) to order n, with exact coefficients and a graph.Antilog CalculatorInverse logarithm (antilog) in base 10, e, 2 or any base, with steps and scientific notation.Asymptote CalculatorFind vertical, horizontal and slant asymptotes and holes of a function, with graph and reasoning.Cramer's Rule CalculatorSolve 2x2 and 3x3 linear systems by Cramer's rule with every determinant shown step by step.Dot Plot MakerMake a dot plot or line plot from data or a frequency table; download PNG or SVG.Exponential Regression CalculatorFit y = a·bˣ or y = a·e^(kx) to data with r², predictions, residuals and a plot.Extended Euclidean Algorithm CalculatorFind gcd(a, b) and Bézout coefficients x, y with the full step-by-step division table.Factor Tree GeneratorDraw the prime factor tree of any number as a printable diagram, with exponent form and steps.Function Composition CalculatorFind f(g(x)), g(f(x)), f + g, f · g and f / g with values at a point and domains.X and Y Intercept CalculatorFind the x- and y-intercepts of lines, curves and functions with steps and a graph.Line Intersection CalculatorFind where two lines cross from equations, points or slopes, with parallel checks and a graph.Linear Programming SolverSolve max/min linear programs with the simplex method: tableau steps and a 2-variable graph.Modular Exponentiation CalculatorCompute a^b mod m for huge numbers with square-and-multiply steps (BigInt).Modular Inverse CalculatorFind a⁻¹ mod m with the extended Euclidean algorithm, step by step, for huge numbers too.Nth Term CalculatorFind the nth term formula of a sequence: arithmetic, geometric, quadratic or cubic.Partial Fraction Decomposition CalculatorSplit a rational function into partial fractions with the setup, equations and solution.Perpendicular Line CalculatorEquation of the perpendicular and parallel line through a point, with distance and a graph.Polar Graphing CalculatorGraph polar equations r = f(θ): roses, cardioids, spirals, with a θ range slider and PNG export.Polynomial CalculatorAdd, subtract, multiply, divide and evaluate polynomials; see roots, degree and a graph.Polynomial Long Division CalculatorDivide polynomials with the full long division layout, quotient, remainder and steps.Scale Factor CalculatorScale factor between similar figures, plus scaled lengths, areas (k²) and volumes (k³).Set CalculatorUnion, intersection, difference and complement of up to 4 sets, with a Venn diagram and counts.Table of Values CalculatorMake an x/y table for any function with a start, end and step, then plot it or copy CSV.

About Algebra & Calculus Calculators

Solve equations, work with exponents and logarithms, and handle matrices, derivatives, integrals and graphs. They are useful for checking homework and quick calculations.

Most used here: Graphing Calculator, Exponent Calculator and Logarithm Calculator.

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