Math Prompts

Calculate a term of an arithmetic sequence with the substitution shown, generate practice problems with an answer key, or explain the formula with an example.

Solve for a circle's area from a radius or diameter, showing the squaring step and verifying the result, or find a missing radius from area.

Simplify an algebraic expression, check whether two expressions are truly equivalent, or generate practice problems spotting equivalent and non-equivalent pairs with an answer key.

Solve a triangle using the law of cosines from two sides and the included angle, or from three known sides, with every substitution shown.

Explain a calculus concept, limits, derivatives, integrals, or related rates, with a practice problem, a four-concept quiz, or an overview connecting them all.

Find the derivative of a function with each rule named and applied step by step, or generate derivative practice problems with an answer key.

Solve for a sphere's volume from its radius, or the radius from a known volume, with the four-thirds factor and cubing step shown separately.

Solve for a cone's volume from its radius and height, showing the one-third factor as its own step and verifying against the dimensions.

Solve for a pyramid's volume from square, rectangular, or custom base dimensions, showing the base area and the one-third factor as separate calculation steps.

Generate a step-by-step solution for a missing side or angle in a right triangle using SOH-CAH-TOA, verified against the Pythagorean theorem.

Find any term of a geometric sequence with exponent steps shown, generate practice problems with an answer key, or explain the formula through an example.

Solve a growth or decay word problem by extracting the starting amount, rate, and elapsed time, or generate practice problems with an answer key.

Practice length, mass, volume, and temperature conversions with dimensional analysis shown step by step, plus a check mode that finds the exact wrong conversion factor.

Solve for a circle's circumference from a radius or diameter, using the matching formula and verifying the result against the original measurement.

Generate a full asymptote, hole, and intercept analysis of a rational function through factoring, or produce fresh practice problems with an answer key.

Generate a step-by-step solution for a rectangle's area from length and width, or for a missing side from a known area, with the result verified.

Convert a linear equation between slope-intercept, point-slope, and standard form with every algebraic step shown, or build one from a slope and a point.

Solve for the volume of a cube from its side length, or find a missing side length from a known volume, with every step shown.

Solve for arc length from a circle's radius and central angle in degrees or radians, with the unit conversion and final answer both verified.

Add, subtract, multiply, or divide two complex numbers with tracked real and imaginary parts, or generate practice problems across all four operations.

Solve for a square's area from its side length, or a missing side from a known area, with the squaring step shown separately from doubling.

Generate a solved system of two or three linear equations by substitution or elimination, with steps verified, or fresh practice systems with an answer key.

Generate a related rates solution by writing the relating equation, differentiating with respect to time, then substituting values, or produce fresh practice problems.

Solve a separable differential equation by isolating x and y terms, integrating both sides, and verifying it, or generate practice problems with an answer key.