Academic Prompts

Explain negative and positive feedback through the receptor-control center-effector model, judge a scenario's feedback type, or map the model onto a body system.

Generate a step-by-step Reynolds number calculation from density, velocity, length, and viscosity, then classify the flow as laminar, transitional, or turbulent.

Explain how primary and secondary succession differ by whether soil exists at the start, trace the sequence to climax community, or classify a disturbance scenario.

Generate a rhetorical device analysis of a submitted speech, essay, or passage, naming each device, quoting it, and explaining the persuasive effect it creates.

Solve for the enthalpy change of a reaction from calorimetry data, calculating heat first and then dividing by moles, using an engineering heat-transfer framing.

Solve for the mechanical advantage of a lever, pulley, inclined plane, wheel and axle, or screw using the matching formula, with force-distance trade-offs made explicit.

Write a Ksp expression from a dissolution equation, solve for molar solubility using stoichiometric exponents, or work a common ion effect problem.

Solve for genotype frequencies from an allele frequency, work backward from a population sample, or check equilibrium against the five Hardy-Weinberg assumptions.

Explain constellations versus asterisms, the 88 IAU-recognized constellations, circumpolar visibility by latitude, and how to locate Polaris using the Big Dipper.

Solve for the coefficient of friction, the frictional force, or the normal force using mu equals F over N, distinguishing static from kinetic friction throughout.

Solve for hydroelectric turbine power, flow rate, or head height using the power formula, with every substitution and unit shown clearly.

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

Practice tracing nitrogen through fixation, nitrification, assimilation, ammonification, and denitrification, naming the bacteria or mechanism at each step, with a complete answer key.

Generate a redox equation, balance its oxidation and reduction half-reactions separately, then combine them into one balanced net equation with electrons and spectators canceled.

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

Generate a solved answer for change in length, expansion coefficient, original length, or temperature change using the thermal expansion formula, with every step shown.

Explain what an event horizon is through escape velocity and the Schwarzschild radius, the three black hole types by mass, and how astronomers detect them.

Solve for centripetal force, mass, velocity, or radius using F = mv²/r, with substitutions checked, or explain circular motion with a worked example.

Practice Kirchhoff's current and voltage laws on a multi-loop circuit, checking submitted equations or generating a fresh circuit with an answer key.

Explain why the Moon shows phases through Earth-Sun-Moon geometry, the eight named phases, and why the Moon and Sun together cause spring and neap tides.

Generate mole-to-mole and mass-to-mass stoichiometry problems from a balanced equation with full worked answer keys, or check a worked answer against an existing problem.

Solve for orbital period, semi-major axis, or orbital velocity using Kepler's third law, with every substitution and unit verified against the equation.

Calculate the mean, median, and mode of a data set with the sum, count, sorted positions, and frequency count shown at every step.

Combine capacitors in series using reciprocal sum or in parallel using simple addition, with steps shown, or explain why capacitors behave opposite resistors.