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Use MathGPT as a math solver and math calculator to get clear, step by step answers for algebra, geometry, calculus, and statistics. Need math help fast? Try our AI math solver for instant explanations.

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Most Popular MathGPT Calculators

Pick a calculator to get instant answers with clear steps. Popular tools for algebra, calculus, geometry, and statistics.

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Parallel & Perpendicular Lines

Check if lines are parallel or perpendicular using slope and step by step logic.

Geometry
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Normal Distribution (PDF/CDF)

Compute normal distribution PDF and CDF values, probabilities, and z scores with clear steps.

Statistics
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Determinant (2×2 / 3×3)

Calculate 2×2 and 3×3 determinants with step by step expansion and final result.

Linear Algebra
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Integral Calculator

Compute definite and indefinite integrals instantly with clear steps and final answers.

Calculus
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“i love how it teaches like a real teacher, it's so awesome and it gives me flashcards so i can remember, this ai is really a ten out of ten”
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Why students use MathGPT?

Use MathGPT as a math solver and calculator library to get instant answers with clear, step by step explanations. It’s built to help you understand the process, check your work, and move faster in homework and exam prep.


Step by step solutions that explain each move, not just the final answer

AI math solver for full problems plus focused calculators for quick formulas

Accurate results for algebra, geometry, calculus, and statistics

Homework checking to catch mistakes and confirm answers fast

Mobile friendly calculators that work smoothly on phone and desktop

Extra learning tools like flashcards and practice support to help you remember

Flashcards and practice support to help you remember key concepts

AI video explanations to learn visually when steps are not enough

Kids Mode with simpler explanations for younger learners

Need help on a full problem, not just a formula?

Use the MathGPT math solver for step by step solutions, explanations, and checks.

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How MathGPT Works

Choose a calculator or paste your question into the MathGPT AI math solver. You’ll get instant answers with clear, step by step explanations.

Type a problem or choose a calculator

Enter your question in MathGPT or open a calculator for quick results.

Upload an image or take a picture

Snap a photo of your homework or upload a screenshot to solve faster.

Get step by step answers

See the full method, not just the final result, so you can learn and check your work.

Study with extra tools

Create flashcards, watch AI video explanations, or use Kids Mode for simpler learning.

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MathGPT Calculators FAQ

Quick answers about the math solver, calculators, and daily credits.

Is MathGPT free to use?
Yes. MathGPT includes a free version with daily credits so you can solve problems and use calculators each day.
What are daily credits?
Daily credits are your free daily usage limit. Credits refresh every day so you can keep using the math solver and calculators without paying.
Do calculators show step by step solutions?
Many calculators include step by step explanations so you can understand the method, not just the final answer.
Can I upload an image or take a picture of my homework?
Yes. You can type your problem, upload a photo, or take a picture to get a solution faster.
What is the difference between the math solver and calculators?
Calculators are best for specific formulas and quick results. The MathGPT math solver is best for full problems with explanations and checks.
Do you support calculus like derivatives and integrals?
Yes. MathGPT supports common calculus tools such as derivative and integral calculators, plus step by step explanations when available.
Is there a Kids Mode?
Yes. Kids Mode gives simpler explanations for younger learners so they can follow along without getting overwhelmed.
Can MathGPT generate flashcards or videos?
Yes. MathGPT can create flashcards to help you remember concepts and can generate AI video explanations for visual learning.

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Calculus

Definite Integral Calculator

Evaluate definite integrals step-by-step with substitutions, part-by-part evaluation, and the Fundamental Theorem of Calculus.

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Calculus, Multivariable

Gradient & Directional Derivative Calculator

$ \nabla f = \left\langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y} \right\rangle,\; D_{\mathbf{u}}f = \nabla f \cdot \mathbf{u} $

Find the gradient vector and directional derivative at a point in the direction of a given vector, with full steps.

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Statistics

Normal Distribution (PDF/CDF)

$ f(x)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^2/(2\sigma^2)} $

Evaluate the normal pdf or cdf at x; standardize to Z as needed.

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Algebra

Quadratic Equation Solver

Solve $ax^2+bx+c=0$ by factoring, completing the square, or quadratic formula with discriminant analysis and graph insights.

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Precalculus

Arithmetic & Geometric Series

$ S_n=\frac{n}{2}(a_1+a_n),\quad S_n=a_1\,\frac{1-r^n}{1-r} $

Sum arithmetic and geometric series with numeric examples.

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Arithmetic, Fractions

Fraction Calculator

$ \frac{a}{b}\;\pm\;\frac{c}{d}=\frac{ad\pm bc}{bd} $

Add, subtract, multiply, or divide fractions with step-by-step work. Includes simplifying and mixed number answers for Grade 5-6.

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Algebra, Coordinate Geometry

Midpoint of a Segment

$ M\,(x_m,y_m) = \left(\dfrac{x_1+x_2}{2},\,\dfrac{y_1+y_2}{2}\right) $

Find the midpoint between two points with step-by-step simplification.

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Calculus

Taylor/Maclaurin Series

$ e^x=\sum_{n=0}^{\infty}\frac{x^n}{n!} $

Expand common functions around a point; show first N terms.

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Statistics, Probability

Poisson Distribution Calculator

$ P(X=k)=\dfrac{\lambda^k e^{-\lambda}}{k!} $

Compute Poisson probabilities P(X=k), cumulative probabilities, and expected counts with step-by-step work.

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Statistics, Data Analysis

Covariance Calculator

$ \operatorname{Cov}(X,Y)=\dfrac{1}{n-1}\sum_{i=1}^n(x_i-\bar{x})(y_i-\bar{y}) $

Compute sample covariance step-by-step from paired (x, y) data, with intermediate tables.

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Calculus

Derivative Calculator

Enter a function and get the derivative with rules used at each step. Supports power, product, quotient, and chain rules.

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Combinatorics, Algebra

Permutations & Combinations

$ {}^{n}P_{r}=\frac{n!}{(n-r)!}\\{}^{n}C_{r}=\frac{n!}{r!(n-r)!} $

Compute ordered selections (nPr) and unordered selections (nCr).

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Statistics

Linear Regression (y = a + bx)

$ b = \frac{\sum (x_i-\bar{x})(y_i-\bar{y})}{\sum (x_i-\bar{x})^2} $

Fit y = a + bx, report slope/intercept, and predict at new x.

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Algebra, Exponents & Logs

Exponential & Log Equation Solver

$ a^x = b \Rightarrow x = \dfrac{\ln b}{\ln a},\; \log_b(x)=c \Rightarrow x = b^c $

Solve exponential and logarithmic equations step-by-step using inverse functions and log rules.

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Linear Algebra

Eigenvalues & Eigenvectors

$ \det(A-\lambda I)=0,\quad (A-\lambda I)\,\mathbf{v}=\mathbf{0} $

Find eigenvalues/eigenvectors for 2×2 or 3×3 matrices.

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Chemistry

Solution Dilution (M₁V₁ = M₂V₂)

$ M_1V_1=M_2V_2 $

Solve for any one of M1, V1, M2, or V2 given the other three.

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Algebra, Functions

Rational Function Analyzer

$ f(x)=\dfrac{P(x)}{Q(x)} $

Analyze rational functions: domain, vertical/horizontal/oblique asymptotes, holes, and intercepts with full steps.

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Physics

Work & Energy

$ W=\vec{F}\cdot\vec{d},\quad E_k=\tfrac{1}{2}mv^2,\quad E_p=mgh $

Compute work with angle between force and displacement; kinetic and potential energies.

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Trigonometry, Geometry

Triangle Solver (ASA/SSS/SAS/SSA)

$ a/\sin A = b/\sin B = c/\sin C,\quad c^2=a^2+b^2-2ab\cos C $

Solve any triangle (ASA, SSS, SAS, SSA). Returns all sides/angles with steps.

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Linear Algebra, Matrices

LU Decomposition Calculator

$ A = LU $

Factor a square matrix A into L and U using Gaussian elimination with step-by-step row operations.

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Linear Algebra, Matrices

Matrix Multiplication Calculator

$ (AB)_{ij} = \sum_{k=1}^n a_{ik}b_{kj} $

Multiply two matrices step-by-step, showing each row-by-column dot product.

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Algebra, Coordinate Geometry

Distance Between Two Points

$ d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} $

Compute the distance between two points with the classic formula.

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Vectors

Angle Between Vectors

$ \cos\theta = \dfrac{\vec{a}\cdot\vec{b}}{\|\vec{a}\|\,\|\vec{b}\|} $

Compute the angle using dot product and norms.

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Chemistry

Molar Mass (Chemical Formula)

$ M=\sum_i n_i M_i $

Parse a chemical formula and sum atomic masses (periodic-table values).

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Statistics, Descriptive

Standard Deviation & Variance

$ s = \sqrt{\frac{\sum_{i=1}^n (x_i-\bar{x})^2}{n-1}},\quad \sigma = \sqrt{\frac{\sum_{i=1}^n (x_i-\mu)^2}{n}} $

Compute variance and standard deviation step-by-step. Choose sample (n−1) or population (n) denominator. Shows mean, deviations, squared deviations, and exact/decimal results.

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Statistics, Probability

Probability Rules & Bayes' Theorem

$ P(A\cup B)=P(A)+P(B)-P(A\cap B),\; P(A\mid B)=\dfrac{P(A\cap B)}{P(B)},\; P(A\mid B)=\dfrac{P(B\mid A)P(A)}{P(B)} $

Compute unions, intersections, conditional probabilities, and Bayes' theorem with step-by-step explanations.

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Vectors, Geometry

Point/Line/Plane (3D) — Distances & Intersections

$ d_{\text{pt→plane}}=\dfrac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^2+B^2+C^2}} $

Distance point→plane, line→plane intersection point, and parallel detection.

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Trigonometry

Trigonometric Identity Verifier

$ \sin^2 x + \cos^2 x = 1 $

Verify identities or simplify trigonometric expressions.

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Calculus, Multivariable

Partial Derivative Calculator

$ \frac{\partial f}{\partial x},\; \frac{\partial f}{\partial y} $

Compute first-order partial derivatives of multivariable functions with step-by-step differentiation rules.

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Algebra, Sequences & Series

Sequence Rule Finder

$ a_n = a_1 + (n-1)d \text{ or } a_n = a_1 r^{n-1} $

Detect whether a sequence is arithmetic or geometric and find its explicit formula with step-by-step reasoning.

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Chemistry, Physics

Ideal Gas Law

$ PV = nRT $

Solve for P, V, n, or T using PV=nRT with consistent units.

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Chemistry

Stoichiometry (Moles ↔ Mass)

$ n=\frac{m}{M}\; $

Convert given mass to moles, apply balanced-equation mole ratios, convert to product mass.

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Physics, Mechanics

Projectile Motion

$ x=v_0\cos\theta\,t,\; y=v_0\sin\theta\,t-\tfrac{1}{2}gt^2 $

Horizontal/vertical components, flight time, and range on level ground.

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Physics, Circuits

Series/Parallel Resistance

$ R_{\text{series}}=\sum R_i,\quad \frac{1}{R_{\text{parallel}}}=\sum \frac{1}{R_i} $

Compute equivalent resistance for series or parallel networks.

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Calculus, Multivariable

Double Integral Calculator (Rectangular Region)

$ \iint_R f(x,y)\,dA = \int_a^b \int_c^d f(x,y)\,dy\,dx $

Evaluate double integrals over rectangular regions with step-by-step inner and outer integration.

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Trigonometry

Degrees ↔ Radians

$ 180^\circ = \pi\ \text{radians} $

Convert angles between degrees and radians with exact \pi forms.

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Statistics

Correlation Coefficient (Pearson r)

$ r = \frac{\sum (x_i-\bar{x})(y_i-\bar{y})}{\sqrt{\sum (x_i-\bar{x})^2\sum (y_i-\bar{y})^2}} $

Compute strength and direction of linear association between two variables.

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Statistics, Probability

Hypergeometric Distribution Calculator

$ P(X=k)=\dfrac{{K \choose k}{N-K \choose n-k}}{{N \choose n}} $

Compute exact hypergeometric probabilities for draws without replacement, with full step-by-step work.

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Statistics, Inference

Z-Test Calculator

$ z=\dfrac{\bar{x}-\mu_0}{\sigma/\sqrt{n}} $

Perform one-sample and two-sample z-tests with known σ. Get z-statistic, p-value, and a clear conclusion.

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Algebra, Functions

Domain & Range Calculator

$ f: x \mapsto f(x) $

Find the domain and range of a function, explaining restrictions, asymptotes, and key values.

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Algebra, Lines

Standard ↔ Slope–Intercept

$ Ax + By = C \;\leftrightarrow\; y = mx + b $

Convert Ax+By=C to y=mx+b or the reverse with step-by-step algebra.

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Linear Algebra, Vectors

Orthonormal Basis (Gram–Schmidt)

$ u_1=\dfrac{v_1}{\|v_1\|},\quad u_2=\dfrac{v_2-\operatorname{proj}_{u_1}v_2}{\|v_2-\operatorname{proj}_{u_1}v_2\|},\;\dots\quad\ \text{where } \\ \mathrm{proj}_{u}w=(w\cdot u)u $

Orthonormalize a set of vectors with step-by-step projections.

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Algebra, Coordinate Geometry

Section Formula (Internal Division)

$ P\,(x,y) = \left(\dfrac{m x_2 + n x_1}{m+n},\, \dfrac{m y_2 + n y_1}{m+n}\right) $

Find the point that divides a segment internally in a given ratio m:n.

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Vectors

Dot Product

$ \vec{a}\cdot\vec{b} = \sum_{i=1}^{n} a_i b_i = \|\vec{a}\|\,\|\vec{b}\|\cos\theta $

Compute a·b and the angle between vectors.

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Trigonometry

Unit Circle Values

$ (\cos\theta,\sin\theta)\text{ on }r=1 $

Exact sin/cos/tan for special angles with quadrant signs.

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Vectors

Cross Product (3D)

$ \vec{a}\times\vec{b} = \begin{vmatrix} \mathbf{i}&\mathbf{j}&\mathbf{k}\\ a_1&a_2&a_3\\ b_1&b_2&b_3\end{vmatrix} $

Compute a×b and its magnitude with steps.

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Algebra, Quadratics

Standard ↔ Vertex Form

$ ax^2+bx+c \;\leftrightarrow\; a(x-h)^2 + k $

Complete the square to convert ax^2+bx+c into a(x−h)^2+k and back.

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Physics, Mechanics

Kinematics (SUVAT)

$ s=ut+\tfrac{1}{2}at^2,\; v=u+at,\; v^2=u^2+2as $

Compute displacement, velocity, or time with constant-acceleration formulas.

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Vectors

Vector Projection

$ \operatorname{proj}_{\vec{b}}\vec{a} = \dfrac{\vec{a}\cdot\vec{b}}{\|\vec{b}\|^2}\,\vec{b} $

Compute projection of a onto b and the perpendicular component.

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Calculus, Algebra

Partial Fractions Decomposition

Decompose rational functions (distinct, repeated, irreducible quadratics) with a clean coefficient solve.

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Statistics

Z-Score Calculator

$ z = \frac{x-\mu}{\sigma} $

Standardize a value and return its normal percentile.

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Statistics, Descriptive

Mean / Median / Mode

$ \bar{x}=\frac{1}{n}\sum_{i=1}^{n} x_i,\quad \text{median}=\text{middle value},\quad \text{mode}=\text{most frequent} $

Compute measures of center: mean, median, and mode(s). Handles ties and even/odd n.

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Trigonometry, Geometry

Law of Sines

$ \dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C} $

Solve triangles using a/sin A = b/sin B = c/sin C. Handles ASA/AAS and SSA (ambiguous case) with full steps.

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Algebra

Factoring Polynomials

Factor quadratics and higher-degree polynomials: grouping, rational root test, and special products.

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Algebra

Rational Equation Solver

$ \frac{2}{x-1}+\frac{3}{x+2}=\frac{5x+1}{x^2+x-2} $

Solve equations with rational expressions; check extraneous roots.

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Linear Algebra

RREF (Row-Reduced Echelon Form)

$ R\sim I\text{ via Gaussian/Jordan elimination} $

Row-reduce a matrix to echelon/rref with pivot operations shown.

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Statistics, Inference

t-Test Calculator

$ t=\dfrac{\bar{x}-\mu_0}{s/\sqrt{n}} $

Perform one-sample and two-sample t-tests. Get t-statistic, degrees of freedom, and p-value with clear steps.

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Algebra, Lines

Parallel & Perpendicular Lines Calculator

$ m_{\parallel}=m,\quad m_{\perp}=-\dfrac{1}{m} $

Given a line and a point, find the line that is parallel or perpendicular through that point.

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Calculus

Limit Calculator

$ \lim_{x\to a} f(x) $

Evaluate limits with a step-by-step math AI solver. Handles rational, trigonometric, and indeterminate forms with L'Hôpital’s rule.

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Algebra, Linear Algebra

System of Equations Solver $(2×2 / 3×3)$

$ \begin{cases} 2x+3y=7 \\ -x+4y=5 \end{cases} $

Solve linear systems with real numbers. Shows elimination or substitution steps and the final numeric solution.

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Algebra

Discriminant (Δ = b² − 4ac)

$ \Delta = b^2 - 4ac $

Compute Δ=b²−4ac and interpret the number of real roots.

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Algebra, Lines

Slope–Intercept $(y = mx + b)$

$ y = mx + b $

Find slope and intercept from two points or an equation. Shows step-by-step to y=mx+b.

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Linear Algebra

Matrix Rank

$ \operatorname{rank}(A)=\text{number of pivots in }\operatorname{rref}(A) $

Compute rank via rref and show pivot columns.

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Physics, Circuits

Ohm’s Law (V, I, R)

$ V = I\,R $

Solve for voltage, current, or resistance given the other two.

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Statistics, Inference

One-Way ANOVA Calculator

$ F=\dfrac{\text{MS}_B}{\text{MS}_W} = \dfrac{\text{SS}_B/(k-1)}{\text{SS}_W/(N-k)} $

Perform one-way ANOVA from raw data or group summaries, reporting F-statistic, df, p-value, and an ANOVA table.

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Calculus

Integral Calculator

Solve integrals with step-by-step substitutions, parts, trig identities, partial fractions, and numeric checks.

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Algebra

Logarithm Simplifier

$ \log_b(xy)=\log_b x + \log_b y $

Apply product/quotient/power rules and change of base.

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Statistics, Inference

Chi-Square Test Calculator

$ \chi^2=\sum \dfrac{(O_i-E_i)^2}{E_i} $

Run chi-square goodness-of-fit and independence tests with observed and expected counts, plus step-by-step tables.

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Trigonometry

Law of Cosines

$ c^2=a^2+b^2-2ab\cos C $

Find sides/angles from SAS or SSS using the Law of Cosines.

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Statistics, Probability

Binomial Probability Calculator

$ P(X=k)=\binom{n}{k}p^k(1-p)^{n-k} $

Calculate binomial probabilities for any n trials and success probability p. Get exact P(X=k), cumulative probabilities, and step-by-step solutions.

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Linear Algebra

Matrix Inverse Calculator

$ A^{-1} = \dfrac{1}{\det(A)}\,\operatorname{adj}(A) $

Compute the inverse of a matrix with determinant/adjugate steps.

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Algebra, Polynomials

Synthetic Division Calculator

$ f(x)=(x-c)q(x)+f(c) $

Use synthetic division to divide by x − c, evaluate f(c), and find quotient and remainder, with table steps.

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Linear Algebra

Determinant (2×2 / 3×3)

$ \det(A)\text{ via }ad-bc\text{ or cofactor expansion} $

Compute det(A) for 2×2/3×3 with steps (minors/cofactors).

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Statistics

Confidence Interval (Mean/Proportion)

$ \text{CI} = \hat{\theta} \pm z_{\alpha/2}\,\text{SE}(\hat{\theta}) $

Build z/t confidence intervals for a mean (σ known/unknown) or a proportion with clear standard-errors.

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Algebra, Coordinate Geometry

Distance from Point to Line

$ d = \dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} \quad (Ax+By+C=0) $

Compute perpendicular distance from a point to a line Ax+By+C=0.

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Biology, Genetics

Hardy–Weinberg Equilibrium

$ p^2 + 2pq + q^2 = 1,\quad p+q=1 $

Compute allele frequencies (p, q), expected genotype frequencies (p^2, 2pq, q^2), and a chi-square goodness-of-fit test for HWE.

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Algebra, Functions

Asymptote Finder

$ x = a \text{ (vertical)},\; y = b \text{ (horizontal)},\; y = mx + b \text{ (oblique)} $

Find vertical, horizontal, and oblique (slant) asymptotes of rational functions with step-by-step limits.

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Algebra, Polynomials

Polynomial Long Division Calculator

$ f(x)=q(x)g(x)+r(x) $

Divide one polynomial by another using long division, with each step of the algorithm clearly shown.

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Biology, Genetics

Allele Frequency from Genotype Counts

$ N=n_{AA}+n_{Aa}+n_{aa},\; p=\dfrac{2n_{AA}+n_{Aa}}{2N},\; q=1-p $

Convert genotype counts to allele frequencies (p, q) quickly.

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Algebra, Lines

Line Through Two Points

$ m = \dfrac{y_2-y_1}{x_2-x_1},\; y - y_1 = m(x - x_1)\;\to\; y=mx+b $

Build the line through two points: slope, point–slope, and slope–intercept.

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Algebra, Lines

Point–Slope → Slope–Intercept

$ y - y_1 = m(x - x_1) \;\to\; y = mx + b $

Convert y − y1 = m(x − x1) into y = mx + b with clear steps.

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Vectors

Vector Magnitude

$ \|\vec{v}\| = \sqrt{\sum_{i=1}^{n} v_i^2} $

Compute the length of a vector with exact and decimal forms.

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