Math Suite and Calculators

A collaborative math suite with CAS, spreadsheet, plotting, proof, and RPN tools alongside math, probability, and science calculators.

Start in a shared workspace when the task is exploratory, collaborative, or multi-step. Use the calculator library when you want a focused answer fast.

Core Apps

The main workspaces in the suite

See the suite overview →

How the suite works

From symbolic work to a finished explanation

Use the suite when a one-off answer is not enough and you need to show the reasoning, shape, and final write-up.

  • Solve or simplify in CAS.
  • Check the behavior in the 2D or 3D plotter.
  • Write the final argument in Proof Builder.

From raw numbers to a model you can share

Move from tabular inputs to formulas, charts, and validated results without jumping between unrelated tools.

  • Start with data or assumptions in Spreadsheet.
  • Verify critical numeric steps in the RPN calculator.
  • Share the session with an agent to iterate together.

Math Calculator Library

Acceleration Calculator

Compute acceleration from change in velocity over time.

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ANOVA Calculator

Run a one-way ANOVA across two or more groups with F-statistic, p-value, variance breakdown, and eta-squared.

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Average Calculator

Compute mean, median, and mode from up to five values.

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Bayes' Theorem Calculator

Compute posterior probability from prior, sensitivity, and false positive rate with scenario presets.

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Binomial Calculator

Compute binomial probability P(X = k).

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Binomial Probability Calculator

Compute P(X=k), cumulative binomial probabilities, and distribution statistics.

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Blackjack Card Counting Simulator

Convert running count to true count, estimate edge, and size bets with a Kelly-based bankroll rule.

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Blackjack Odds Calculator

Estimate action EVs and basic-strategy recommendation for a blackjack hand under common rule variations.

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Boolean Algebra Simplifier

Minimize a Boolean function from minterm and don't-care masks using Quine-McCluskey for up to four variables.

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Chemical Equation Balancer

Balance a chemical equation from a text string and return stoichiometric coefficients with the underlying element-balance equations.

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Chi-Square Calculator

Compute chi-square statistic from observed and expected counts.

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Circle Calculator

Compute circle area and circumference from radius.

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Circuit Analysis (RLC) Calculator

Analyze a series RLC circuit for impedance, current, phase, resonance, Q factor, and bandwidth.

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Combinations Calculator

Calculate nCr combinations.

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Combinatorics Calculator

Compute permutations, combinations, multichoose, and derangements with formula outputs.

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Cone Calculator

Calculate cone volume and surface area.

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Confidence Interval Calculator

Compute confidence interval for a sample mean.

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Convolution Calculator

Compute discrete linear convolution for finite sequences or closed-form continuous convolution for exponentials.

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Cylinder Calculator

Calculate cylinder volume and surface area.

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Decibel Calculator

Convert power ratio to decibels.

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Dice Probability Calculator

Calculate exact probabilities for N dice with S sides for exact/at-least/at-most/range outcomes.

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Dilution Calculator

Use C1V1 = C2V2 to find required stock solution volume.

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Discrete Fourier Transform (DFT) Calculator

Compute DFT, magnitude/phase spectrum, and inverse reconstruction for sequences up to 8 samples.

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Doppler Effect Calculator

Compute classical observed frequency, wavelength shift, and an optional relativistic correction.

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Eigenvalue & Eigenvector Calculator

Compute characteristic polynomial, eigenvalues, multiplicities, and eigenvectors for square matrices up to 6x6.

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Electrical Power Calculator

Compute electrical power from voltage and current.

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Electrochemistry Cell Potential Calculator

Compute standard and non-standard cell potential, Gibbs free energy, and equilibrium constant from common half-reactions.

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Empirical Formula Calculator

Estimate empirical formula from elemental mole ratios of C, H, and O.

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Expected Value Calculator

Compute expected value, variance, and standard deviation for up to 20 weighted outcomes.

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Exponent Calculator

Raise a base to a given exponent.

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Factoring Calculator

Factor a quadratic expression ax^2 + bx + c when integer factors exist.

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Filter Design Calculator

Design a practical biquad-style lowpass, highpass, bandpass, or notch filter and return coefficients plus response samples.

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Force Calculator

Compute force using F = m * a.

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Fourier Transform Calculator

Compute continuous Fourier transform formulas and magnitude/phase at a selected angular frequency.

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Fraction Calculator

Add, subtract, multiply, or divide two fractions and simplify the result.

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Friction Calculator

Compute friction force from coefficient and normal force.

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GCD / LCM Calculator

Compute greatest common divisor and least common multiple of two integers.

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Graph Theory Calculator

Analyze a small weighted undirected graph for connectivity, shortest paths, MST, coloring, and traversal properties.

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Hypothesis Test Calculator

Run one-sample z, t, or proportion hypothesis tests with statistic, p-value, critical value, and decision.

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Ideal Gas Law Calculator

Solve pressure using PV = nRT.

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Kinetic Energy Calculator

Compute kinetic energy KE = 0.5 * m * v^2.

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Laplace Transform Calculator

Compute forward and inverse Laplace transforms for common canonical signal families.

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Linear Equation Calculator

Solve ax + b = 0 for x.

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Linear Regression Calculator

Fit a simple linear regression line and return slope, intercept, and R².

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Logarithm Calculator

Calculate logarithms with any positive base.

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Matrix Calculator

Compute determinant, inverse, and eigenvalues for a 2x2 matrix.

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Matrix Decomposition Calculator

Compute LU, QR, SVD, and Cholesky decompositions for square matrices up to 6x6 and report residual checks.

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Modular Arithmetic Calculator

Compute modular operations, modular inverses, and two-congruence CRT solutions.

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Molar Mass Calculator

Estimate molar mass from atom counts of C, H, O, N.

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Molarity & Dilution Calculator

Compute molarity, molality, dilution targets, and a simple serial-dilution chain.

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Molarity Calculator

Calculate molarity from moles and solution volume.

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Momentum Calculator

Compute momentum p = m * v.

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Monte Carlo Simulator

Run seeded Monte Carlo simulations over a linear formula using up to three random variables.

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Normal Distribution Calculator

Compute z-score, cumulative probability, percentile rank, and interval probability for a normal distribution.

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Number Base Converter

Convert a decimal integer into binary, octal, and hexadecimal formats.

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Nyquist Sampling Calculator

Compute minimum sampling rate, aliasing behavior, and a simple capture-quality assessment.

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Ohm's Law Calculator

Compute voltage from current and resistance.

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Orbital Mechanics Calculator

Compute orbital period, characteristic velocities, specific orbital energy, and a simple Hohmann transfer estimate.

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Percent Composition Calculator

Calculate mass percent of a component in a mixture.

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Percentage Calculator

Perform common percentage operations: find a percentage of a value, calculate what percentage one number is of another, and find percentage change.

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Permutations Calculator

Calculate nPr permutations.

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pH & Buffer Calculator

Compute pH, pOH, and percent ionization for strong acids/bases, weak acids/bases, and Henderson-Hasselbalch buffers.

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pH Calculator

Calculate pH and pOH from hydrogen ion concentration.

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PID Controller Tuner

Compute PID gains from a first-order-plus-dead-time plant using Ziegler-Nichols, Cohen-Coon, or IMC-style rules.

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Poisson Probability Calculator

Compute exact and cumulative Poisson probabilities with distribution moments.

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Poker Hand Odds Calculator

Estimate poker hand probability with table-level odds and pot-odds comparison.

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Polynomial Roots Calculator

Find roots for a quadratic polynomial.

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Potential Energy Calculator

Compute gravitational potential energy PE = m * g * h.

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Prime Factorization Calculator

Factor an integer and derive divisor-count, divisor-sum, Euler totient, and divisor list.

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Probability Distribution Plotter

Plot PMF and CDF for a binomial distribution.

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Projectile Motion Calculator

Estimate flight time, range, and max height from launch speed and angle.

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Proportion Calculator

Solve proportions of the form a / b = c / x.

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Pyramid Calculator

Calculate rectangular pyramid volume and surface area.

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Pythagorean Theorem Calculator

Solve right triangle hypotenuse from two legs.

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Quadratic Formula Calculator

Solve ax^2 + bx + c = 0.

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Radioactive Decay Calculator

Compute parent decay, activity, elapsed half-lives, and an optional two-isotope daughter chain.

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Ratio Calculator

Simplify a ratio and compute equivalent forms.

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Rectangle Calculator

Calculate area, perimeter, and diagonal of a rectangle.

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Regression Calculator

Fit linear, polynomial, exponential, or logarithmic regression models to x-y data with prediction and residual output.

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Regular Polygon Calculator

Compute area and perimeter for a regular polygon.

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Sample Size Calculator

Estimate sample size needed for a target margin of error.

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Scientific Notation Calculator

Convert decimal numbers to scientific notation.

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Sphere Calculator

Calculate sphere volume and surface area from radius.

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Standard Deviation Calculator

Compute population and sample standard deviation from up to five values.

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Stoichiometry Calculator

Convert moles of reactant to product using mole ratio.

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Systems of Equations Calculator

Solve a 2x2 linear system.

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t-Test Calculator

Compute one-sample t statistic from sample mean, population mean, and sample SD.

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Taylor/Maclaurin Series Expansion

Compute Taylor coefficients up to order N for common functions, with approximation error estimate.

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Texas Hold'em Outs Calculator

Calculate hit probability from outs and compare against required pot odds.

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Thermodynamics State Calculator

Estimate thermodynamic state properties from two known ideal-gas variables for air or steam-vapor approximations.

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Transfer Function Analyzer

Analyze poles, zeros, DC gain, Bode samples, and time-domain response data from a polynomial transfer function.

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Triangle Calculator

Calculate triangle area and perimeter from side lengths and base/height.

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Unit Dimension Checker

Verify dimensional consistency by comparing exponents of kg, m, and s on both sides.

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Velocity Calculator

Compute velocity from distance and time.

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Wave Interference Calculator

Superpose two sinusoidal waves and report beat frequency, resultant amplitude, and representative waveform data.

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Wavelength Calculator

Compute wavelength from wave speed and frequency.

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Z-Transform Calculator

Compute Z-transform expressions, ROC, poles/zeros, and inverse forms for canonical discrete sequences.

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