71 FOCUSED TOOLS
Algebra & number calculators
Solve number relationships, sequences, roots and counting problems.
Choose the right calculation
Identify whether the question asks for one term, a total or a count of possible selections. Sequences use a fixed difference or ratio. In counting problems, order and replacement determine the correct model.
Find a tool for your question
Square Root Calculator
Find the non-negative square root of a number.
Exponent Calculator
Raise a positive base to a chosen exponent.
Logarithm Calculator
Find the exponent needed to produce a number in a chosen base.
Quadratic Discriminant Calculator
Check the discriminant of a quadratic equation to understand its real roots.
Linear Equation Calculator
Solve ax + b = c for x.
Arithmetic Sequence Calculator
Find a term in an arithmetic sequence with a fixed common difference.
Geometric Sequence Calculator
Find a term in a sequence multiplied by a fixed ratio each step.
Factorial Calculator
Calculate the product of all positive integers up to a whole number.
Slope Calculator
Find the slope of a line between two points.
Distance Between Points Calculator
Find the straight-line distance between two coordinates in a plane.
Nth Root Calculator
Find the positive nth root of a non-negative number.
Natural Log Calculator
Calculate the logarithm of a positive number to base e.
Arithmetic Series Sum Calculator
Add the first n terms of an arithmetic sequence.
Geometric Series Sum Calculator
Add a finite sequence that changes by a constant multiplier.
Doubling Time Calculator
Find exact doubling time under a fixed effective growth rate per period.
Exponential Decay Calculator
Estimate what remains after repeated percentage reductions.
Greatest Common Divisor Calculator
Find the greatest positive integer that divides two whole numbers.
Least Common Multiple Calculator
Find the smallest positive whole number divisible by two positive integers.
Combination Calculator
Count ways to choose k items from n when order does not matter.
Permutation Calculator
Count ordered selections without replacement.
Prime Factorization Calculator
Decompose a positive integer into its prime factors.
Factor Calculator
List all positive integer divisors of a whole number.
Prime Number Checker
Check whether an integer is prime using exact trial division within the supported range.
Roman Numeral Calculator
Convert an integer to canonical Roman numerals.
Roman Numeral to Number Calculator
Convert a canonical Roman numeral into an integer.
Binary to Decimal Calculator
Convert an unsigned binary integer to decimal.
Decimal to Binary Calculator
Convert a non-negative decimal integer to binary notation.
Hexadecimal to Decimal Calculator
Convert an unsigned hexadecimal integer to decimal.
Decimal to Hexadecimal Calculator
Convert an unsigned decimal integer to hexadecimal.
Absolute Value Calculator
Find the non-negative magnitude of a real number.
Remainder Calculator
Find the whole-number remainder after division.
Integer Quotient Calculator
Find how many whole divisor groups fit into a non-negative integer.
Rounding Calculator
Round a number to a chosen number of decimal places.
Round to Nearest Multiple Calculator
Round a measurement or amount to a selected step size.
Floor Function Calculator
Find the integer floor of a real number.
Ceiling Function Calculator
Find the smallest integer at least as large as the input.
Linear Interpolation Calculator
Estimate a value on the straight line between two measured points.
Inverse Linear Interpolation Calculator
Find the input position corresponding to a target value on a straight line.
Direct Proportion Calculator
Scale a directly proportional quantity from one known input-output pair.
Inverse Proportion Calculator
Find a quantity that changes inversely with another quantity.
Arithmetic Sequence Common Difference Calculator
Recover the fixed difference in an arithmetic sequence from two terms.
Geometric Sequence Ratio Calculator
Recover a positive common ratio from two terms of a geometric sequence.
Geometric Mean Growth Rate Calculator
Find a constant two-period growth rate equivalent to two different returns.
Combinations With Repetition Calculator
Count unordered selections when repetition is allowed.
Circular Permutation Calculator
Count distinct circular arrangements of different items.
Permutation With Repetition Calculator
Count ordered codes or sequences when choices can repeat.
Set Subset Count Calculator
Count all subsets of a finite set of distinct elements.
Pair Count Calculator
Count handshakes or unique pairings among distinct participants.
Sum of Integers Calculator
Add all positive integers up to a chosen upper limit.
Sum of Squares Calculator
Add squared integers from one through a selected whole number.
Sum of Cubes Calculator
Add cubed integers from one through a selected whole number.
Fibonacci Number Calculator
Find a term of the Fibonacci sequence using its recurrence.
Collatz Step Count Calculator
Count recurrence steps to reach one for a supported starting integer.
Two by Two Determinant Calculator
Find the determinant of a two-by-two matrix.
Matrix Trace Calculator
Calculate the trace of a three-by-three matrix from its diagonal.
Three by Three Determinant Calculator
Find a three-by-three matrix determinant by cofactor expansion.
Complex Number Magnitude Calculator
Find the magnitude of a complex number from its real and imaginary components.
Complex Number Argument Calculator
Find a complex number’s direction in the complex plane.
Quadratic Vertex X Calculator
Find the horizontal coordinate of a parabola’s vertex.
Quadratic Vertex Y Calculator
Find the vertical coordinate of a quadratic parabola’s vertex.
Polynomial Value Calculator
Evaluate a cubic polynomial at a selected real input.
Polynomial Derivative Calculator
Find the slope of a cubic polynomial at a chosen input.
Definite Polynomial Integral Calculator
Integrate a quadratic polynomial exactly between two bounds.
Linear Equation Intersection X Calculator
Find the x coordinate where two non-parallel straight lines meet.
Logarithmic Growth Time Calculator
Solve the time needed to reach a target under constant compound growth.
Half Life Remaining Amount Calculator
Estimate material remaining after a chosen number of half-lives.
Half Life From Decay Calculator
Recover an exponential half-life from two measured amounts and elapsed time.
Continuous Growth Rate Calculator
Find the continuous exponential rate linking two positive amounts.
Quadratic Formula Calculator
Find both real or complex roots of a quadratic equation.
Two Equation Linear System Calculator
Solve two simultaneous linear equations in two unknowns.
Two by Two Matrix Inverse Calculator
Find the inverse of a non-singular two-by-two matrix.
Do combinations and permutations count the same thing?
No. Combinations ignore the order of selection; permutations count different orders separately.
Useful next steps in other categories
More math & percentages topics
Percentage & ratio
Compare shares, rates and proportional changes.
Explore topic ↗16 calculatorsTrigonometry
Work with angles, side ratios and the sine and cosine rules.
Explore topic ↗6 calculatorsFractions & mixed numbers
Add, compare, simplify and change the representation of rational quantities.
Explore topic ↗4 calculatorsScientific & everyday calculation
Evaluate expressions and handle rounding or scientific notation.
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