Linear congruence solver
Solve a·x ≡ b modulo m, including cases with multiple residues or no solution.
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Find a little clarity. Search by name, or pick a category.
Something new: Internet speed test → Check your connection with a speedometer and a running bunny.
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Chinese remainder theorem calculator
Combine two congruences with coprime moduli into one exact residue class.
Open calculatorEuler totient calculator
Count integers coprime to n from 1 through n using its distinct prime factors.
Open calculatorMultiplicative order calculator
Find the first positive power of a that gives remainder one modulo m.
Open calculatorRational continued fraction calculator
Expand a rational number into a finite simple continued fraction and inspect every convergent.
Open calculatorRepeating decimal to fraction calculator
Turn a stated repeating decimal block into an exact reduced fraction, including a non-repeating prefix.
Open calculatorInteger base converter
Convert a signed whole number between numeral bases 2 through 36 without floating-point rounding.
Open calculatorFibonacci sequence and term calculator
Find an exact indexed Fibonacci number, inspect early terms and sum through the selected index.
Open calculatorHydraulic cylinder force and volume calculator
Compare ideal extension and retraction force with rod area, opposing pressure and swept fluid volume.
Open calculatorPipe flow and velocity calculator
Convert between circular-pipe volume flow and average velocity using the actual internal diameter.
Open calculatorTank fill and drain time calculator
Account for simultaneous inflow and outflow, starting volume, target volume and physical tank boundaries.
Open calculatorPipe Reynolds number calculator
Calculate a circular-pipe Reynolds number with explicit dynamic viscosity and a conditional flow guide.
Open calculatorDarcy Weisbach pressure loss calculator
Separate straight-pipe and entered fitting losses using a supplied Darcy factor and common velocity basis.
Open calculatorConstant head orifice discharge calculator
Estimate free discharge from an opening with a supplied coefficient and a stated constant head.
Open calculatorQuadratic drag force and power calculator
Explore drag magnitude and mechanical power from relative speed, density, reference area and supplied Cd.
Open calculatorTerminal settling speed with buoyancy calculator
Balance constant quadratic drag against weight minus buoyancy for a fully immersed object settling downward.
Open calculatorVenturi differential pressure flow calculator
Combine equal-elevation pressure difference and circular area change with an entered flow coefficient.
Open calculatorCapillary rise and depression calculator
Find signed equilibrium height from surface tension, contact angle, fluid density and circular tube radius.
Open calculatorLoan prepayment comparison calculator
Compare an unchanged monthly payment with recurring extra principal and one optional lump sum.
Open calculatorLoan refinance cost comparison calculator
Compare complete remaining payment streams, upfront fees and a sustained nominal cash-flow break-even.
Open calculatorFlat versus reducing balance loan calculator
Compare two loan-interest conventions and solve the no-fee reducing rate implied by a flat installment stream.
Open calculatorEmergency reserve runway calculator
Count fully funded monthly bills using an entered reserve, income, return and expense-inflation scenario.
Open calculatorAnnual cash flow NPV calculator
Discount a signed annual cash-flow sequence while keeping year zero and later year-end amounts distinct.
Open calculatorConventional cash flow IRR calculator
Solve annual IRR from equal annual receipts or an initial investment followed by individually entered non-negative inflows.
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