∑ Algebra & Calculus Calculators
Equations, sequences, logs, derivatives, integrals and numbers. Browse 72 free algebra & calculus calculators, each with the formula, a worked example and an interactive chart.
Percentage CalculatorFind a percentage of a number, and what percent one number is of another.Percent Increase and Decrease CalculatorCompute percent change between two values.Ratio SimplifierSimplify a ratio to lowest terms.GCD and LCM CalculatorFind the greatest common divisor and least common multiple.Divisor Count CalculatorCount divisors of a whole number and test whether it is prime.Quadratic Equation SolverSolve ax² + bx + c = 0 and find the vertex.Linear Equation Calculator (ax + b = c)Solve a linear equation for x.System of Two Linear Equations SolverSolve two equations with two unknowns using Cramer's rule.Slope Between Two Points CalculatorFind the slope, intercept and distance between two points.Exponent and Root CalculatorCompute powers and roots.Logarithm CalculatorCompute natural, base-10, base-2 and custom-base logarithms.Scientific Notation ConverterWrite a number in scientific notation.Compound Interest CalculatorCompute the future value of an investment with compounding.Loan Payment CalculatorCompute a monthly loan or mortgage payment.Rule of 72 Doubling Time CalculatorEstimate how long it takes to double at a growth rate.Arithmetic Sequence CalculatorFind the nth term and sum of an arithmetic sequence.Geometric Sequence CalculatorFind the nth term and sum of a geometric sequence.Factorial CalculatorCompute n! and related counts.Permutations and Combinations CalculatorCompute nPr and nCr.Binomial Theorem Coefficient CalculatorFind the kth term of (a + b)^n.Complex Number CalculatorFind the modulus, argument and polar form of a complex number.Complex Number Multiplication CalculatorMultiply two complex numbers.Distance and Midpoint on a Number LineFind distance and midpoint between two numbers.Derivative of a Polynomial at a Point CalculatorDifferentiate ax³ + bx² + cx + d and evaluate the slope at x.Definite Integral of a Polynomial CalculatorIntegrate ax² + bx + c between two limits.Euler's Number from Compound Growth CalculatorSee (1 + 1/n)^n approach e.Numerical Integration (Trapezoid) of sin(x) CalculatorApproximate the integral of sin(x) with the trapezoid rule.Newton's Method Square Root CalculatorApproximate a square root with Newton iterations.Pythagorean Theorem CalculatorFind the hypotenuse or a missing side of a right triangle.Linear Inequality SolverSolve ax + b > c.2×2 Matrix Determinant and Inverse CalculatorCompute determinant, trace and inverse of a 2×2 matrix.Vector Dot and Cross Product CalculatorCompute dot product, cross product and angle for 3D vectors.Fibonacci Number and Golden Ratio CalculatorFind the nth Fibonacci number via Binet's formula.Modulo and Remainder CalculatorFind the remainder and quotient after division.Decimal to Binary, Octal and Hex ConverterConvert a whole number into other bases.Significant Figures CalculatorRound a number to a chosen number of significant figures.Parabola Vertex CalculatorFind the vertex and axis of symmetry of a parabola y = ax² + bx + c.Quadratic Discriminant CalculatorFind the discriminant of a quadratic equation and what it says about its roots.Continuous Compound Interest CalculatorFind the amount from continuously compounded interest, A = P e^(rt).Annual Percentage Yield CalculatorConvert a nominal interest rate with compounding periods per year into the effective annual percentage yield.Present Value CalculatorFind how much a future sum is worth today at a given discount rate.Future Value of an Annuity CalculatorFind how much regular equal payments grow to at a given interest rate.Infinite Geometric Series Sum CalculatorFind the sum of an infinite geometric series when the common ratio is between -1 and 1.Cubic Polynomial Value and Slope CalculatorEvaluate a cubic polynomial and its derivative at a point.Point to Line Distance CalculatorFind the shortest distance from a point to a straight line Ax + By + C = 0.Circle Centre and Radius from General Form CalculatorConvert the general equation x² + y² + Dx + Ey + F = 0 into the centre and radius of a circle.Sum of Squares CalculatorFind the sum of the squares of the first n whole numbers using the closed formula.Sum of Cubes CalculatorFind the sum of the cubes of the first n whole numbers using the closed formula.Triangular Number CalculatorFind the nth triangular number, the sum of the whole numbers from 1 to n.Prime Counting Estimate CalculatorEstimate how many prime numbers are at or below a given number using the prime number theorem.Digital Root CalculatorRepeatedly add the digits of a whole number until one digit remains.Modular Exponentiation CalculatorFind a raised to the power b, reduced modulo m, for small whole numbers.Growth Rate from Two Values CalculatorFind the constant growth rate per time period that links two values.Vector Magnitude and Direction CalculatorFind the length and direction angle of a two-dimensional vector.Mixed Number to Improper Fraction CalculatorConvert a mixed number into an improper fraction and a decimal.Fraction Addition CalculatorAdd two fractions and find the sum as a fraction and a decimal.Sum and Product of Roots (Vieta) CalculatorFind the sum and product of the roots of a quadratic without solving it, using Vieta formulas.Linear Interpolation CalculatorEstimate a value between two known points assuming a straight line between them.Inverse Variation CalculatorFind the value of y in an inverse variation y = k/x given a known pair of values.Average Rate of Change of a Quadratic CalculatorFind the average rate of change of y = ax² + bx + c between two x values.Tangent Line to a Quadratic CalculatorFind the slope and equation of the tangent line to a parabola at a given point.Definite Integral of a Quadratic CalculatorFind the exact area under a quadratic curve between two x values.Exponential Equation Solver CalculatorSolve b^x = c for x using logarithms.Pascal Triangle Row CalculatorFind the sum and the middle entry of a row of Pascal triangle.Return on Investment CalculatorFind the percentage gain or loss on an investment from its cost and current value.Compound Annual Growth Rate (CAGR) CalculatorFind the smooth yearly growth rate that takes a start value to an end value.Decimal Rounding CalculatorRound a number to a chosen number of decimal places.Unit Price CalculatorFind the price per unit of an item to compare value between package sizes.Discount and Sales Tax CalculatorFind the final price after a percentage discount and sales tax.Bill Split and Tip CalculatorSplit a restaurant bill with a tip evenly between people.Number of Terms in Arithmetic Sequence CalculatorCount how many terms an arithmetic sequence has from its first term, last term and common difference.Quadratic Equation from Roots CalculatorBuild the quadratic equation with given roots, in the form x² + bx + c = 0.
About Algebra & Calculus calculators
Equations, sequences, logs, derivatives, integrals and numbers. CalcDepo has 72 free algebra & calculus calculators. Each one shows the formula, the variables and their units, a worked example and a chart of how the result changes, so you can check homework, plan a lab or understand the idea behind the numbers.
Popular calculators here include Percentage, Percent Increase and Decrease, Ratio Simplifier, GCD and LCM, Divisor Count, Quadratic Equation. Common searches in this category include “what is 15% of 200”, “percentage increase”, “reduce ratio”, “hcf”.
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🚀 Mechanics & Motion🔥 Thermodynamics & Fluids⚡ Electricity & Magnetism🌈 Waves, Sound & Optics🪐 Modern Physics & Astronomy⚗️ General Chemistry🧪 Solutions, Acids & Kinetics🧬 Genetics & Molecular Biology🌿 Ecology & Evolution🫀 Human Body & Health📐 Geometry & Trigonometry📊 Statistics & Probability🌍 Earth & Environmental Science