Math Solver Ai Tools Prompts Library
Universal Formula
[Context] + [Specific Problem/Scenario] + [Physics Principle or Formula] + [Intent/Goal] + [Response Format]
Prompt Template
"I want you to solve a math problem related to [Topic, e.g., algebra, calculus, geometry]. The scenario is [Specific Problem/Topic]. The goal is to [Intent/Goal, e.g., find the solution, explain the steps, verify the answer]. Please provide the solution with [Response Format, e.g., step-by-step explanation and calculations]."
"Mujhe ek math problem solve karni hai jo [Topic, jaise ki algebra, calculus, geometry] se related hai. Scenario hai [Specific Problem/Topic]. Mera goal hai [Intent/Goal, jaise ki solution nikalna, steps samjhna, answer verify karna]. Kripya solution do [Response Format, jaise ki step-by-step explanation aur calculations ke saath]."
Algebra
(Linear Equations)
1. English
"I want you to solve an algebra problem. The scenario is: Solve the system of equations 2x + 3y = 12 and x- y =4. Please provide the solution step-by-step."
2. Hinglish
"Mujhe chahiye ki aap ek algebra problem solve karein. Scenario hai: Equations ka system solve karein 2x + 3y = 12 aur x- y = 4. Kripya solution step-by-step provide karein."
Calculus (Integration)
1. English
"I want you to solve a calculus problem. The scenario is: Find the integral of the function ∫(3x² + 2x + 1) dx. Please provide the solution with a step-by-step explanation."
2. Hinglish
"Mujhe chahiye ki aap ek calculus problem solve karein. Scenario hai: Function ka integral find karein ∫(3x² + 2x + 1) dx. Kripya solution ko step-by-step explanation ke saath provide karein."
Probability and Statistics
1. English
"I want you to solve a probability problem. The scenario is: A fair die is rolled once. What is the probability of getting an even number? Please provide the answer with a brief explanation."
2. Hinglish
"Mujhe chahiye ki aap ek probability problem solve karein. Scenario hai: Ek fair die ko ek baar roll kiya jata hai. Even number aane ki probability kya hai? Kripya answer ko brief explanation ke saath provide karein."
Geometry (Triangles)
1. English
"I want you to solve a geometry problem. The scenario is: Find the area of a right angled triangle with base 8 cm and height 6 cm. Please provide the solution using the correct formula."
2. Hinglish
"Mujhe chahiye ki aap ek geometry problem solve karein. Scenario hai: Ek right angled triangle ka area find karein jiska base 8 cmaur height 6 cm hai. Kripya solution ko sahi formula ka istemal karke provide karein."
Trigonometry
(Angles and Ratios)
1. English
“I want you to solve a trigonometry problem. The scenario is: Calculate the value of tan(45°) using trigonometric identities. Please provide the solution with proper reasoning."
2. Hinglish
“Mujhe chahiye ki aap ek trigonometry problem solve karein. Scenario hai: Trigonometric identities ka istemal karke tan(45°) ka value calculate karein. Kripya solution ko proper reasoning ke saath provide karein."
Quadratic Equations
1. English
“I want you to solve a quadratic equation. The scenario is: Solve the equation x²- 5x + 6 = 0 using the quadratic formula. Please provide the solution step-by-step."
2. Hinglish
“Mujhe chahiye ki aap ek quadratic equation solve karein. Scenario hai: Equation x²- 5x + 6 = 0 ko quadratic formula ka istemal karke solve karein. Kripya solution step-by step provide karein."
Logarithms
1. English
“I want you to solve a logarithm problem. The scenario is: Solve for x in the equation log₂(x) + log₂(4) = 3. Please provide the solution step-by-step with explanations."
2. Hinglish
“Mujhe chahiye ki aap ek logarithm problem solve karein. Scenario hai: Equation log₂(x) + log₂(4) = 3 mein x ke liye solve karein. Kripya solution step-by-step explanations ke saath provide karein."
Differentiation
(Rate of Change)
1. English
“I want you to solve a differentiation problem. The scenario is: Find the derivative of f(x) = 5x³- 2x² + 4 with respect to x. Please provide the answer with a step-by-step explanation."
2. Hinglish
“Mujhe chahiye ki aap ek differentiation problem solve karein. Scenario hai: f(x) = 5x³- 2x² + 4 ka derivative x ke respect mein find karein. Kripya answer ko step-by-step explanation ke saath provide karein."
Arithmetic Progression (AP/GP Series)
1. English
“I want you to solve a sequence and series problem. The scenario is: Find the 10th term of an arithmetic sequence where the first term is 3 and the common difference is 5. Please provide the solution step-by-step."
2. Hinglish
“Mujhe chahiye ki aap ek sequence aur series problem solve karein. Scenario hai: Ek arithmetic sequence ka 10th term find karein jiska first term 3 hai aur common difference 5 hai. Kripya solution step-by-step provide karein."
Coordinate Geometry
1. English
“I want you to solve a coordinate geometry problem. The scenario is: Find the distance between the points (3,4) and (7,1) using the distance formula. Please provide the solution step-by-step."
2. Hinglish
“Mujhe chahiye ki aap ek coordinate geometry problem solve karein. Scenario hai: Points (3,4) aur (7,1) ke beech distance find karein distance formula ka istemal karke. Kripya solution step-by-step provide karein."
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