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126
Mathematics
Elementary Math
What is 47 × 89?
Mathematics
Elementary Math
Add 3.14159 to 2.71828.
Mathematics
Elementary Math
Subtract 987 from 1234.
Mathematics
Elementary Math
What is the square root of 1521?
Mathematics
Elementary Math
Round 7.654321 to two decimal places.
Mathematics
Elementary Math
What is 5 % of 240?
Mathematics
Elementary Math
Divide 10 by 0.25.
Mathematics
Elementary Math
What is the result of (3 + 5) × 2?
Mathematics
Algebra
Solve for x: 2x² – 4x + 1 = 0.
Mathematics
Algebra
Factor the polynomial x³ – 6x² + 11x – 6.
Mathematics
Algebra
Find the inverse of the matrix [[2,3],[5,7]].
Mathematics
Algebra
Simplify (x² – 9)/(x + 3).
Mathematics
Algebra
Determine the roots of x⁴ – 5x² + 4 = 0.
Mathematics
Algebra
Solve the system: {2a + 3b = 7, 4a – b = 1}.
Mathematics
Algebra
Find the value of y if 3y + 2 = 11.
Mathematics
Algebra
Simplify √(25x²) assuming x > 0.
Mathematics
Calculus
Compute the derivative of sin(x) · eˣ.
Mathematics
Calculus
Integrate x³ from 0 to 2.
Mathematics
Calculus
Find the limit of (1 + 1/n)ⁿ as n approaches infinity.
Mathematics
Calculus
Solve ∫₀¹ (ln(x))² dx.
Mathematics
Calculus
Compute the second derivative of x⁴ – 4x³ + 6x².
Mathematics
Calculus
Find the area under y = e^(–x) from x=0 to 5.
Mathematics
Calculus
Solve the differential equation dy/dx = y · sin(x).
Mathematics
Calculus
Compute ∫₀²π sin³(t) dt.
Mathematics
Geometry
What is the circumference of a circle with radius 7 cm?
Mathematics
Geometry
Calculate the area of an equilateral triangle with side length 9 in.
Mathematics
Geometry
Find the volume of a sphere with diameter 10 m.
Mathematics
Geometry
What is the surface area of a cube with edge length 4 ft?
Mathematics
Geometry
Determine the angle between two diagonals in a regular hexagon.
Mathematics
Geometry
Compute the length of a chord that subtends 60° at the center of a circle with radius 5 cm.
Mathematics
Geometry
What is the area of a trapezoid with bases 8 m and 12 m, height 5 m?
Mathematics
Geometry
Find the volume of a cone with radius 3 in and height 7 in.
Mathematics
Linear Algebra
Find the eigenvalues of [[2,0],[0,3]].
Mathematics
Linear Algebra
Compute the determinant of [[1,2,3],[4,5,6],[7,8,10]].
Mathematics
Linear Algebra
Determine the rank of [[1,2,3],[4,5,6],[7,8,9]].
Mathematics
Linear Algebra
Find the inverse of [[0,1],[1,0]].
Mathematics
Linear Algebra
Solve the linear system Ax = b where A=[[2,1],[3,4]] and b=[5,6]ᵀ.
Mathematics
Linear Algebra
Compute the dot product of vectors [1,2,3] and [4,5,6].
Mathematics
Linear Algebra
Find the cross product of vectors [1,0,0] and [0,1,0].
Mathematics
Linear Algebra
Determine the orthogonal projection of vector [3,4] onto [1,2].
Mathematics
Statistics
What is the mean of the dataset {3,5,7,9,11}?
Mathematics
Statistics
Calculate the standard deviation of {10,12,14,16,18}.
Mathematics
Statistics
Find the median of {4,8,15,16,23,42}.
Mathematics
Statistics
Compute the probability that a standard normal variable is less than 1.5.
Mathematics
Statistics
What is the correlation coefficient between x={1,2,3} and y={4,5,6}?
Mathematics
Statistics
Determine the 95 % confidence interval for a sample mean of {2.3,2.5,2.7,2.9}.
Mathematics
Statistics
Calculate the variance of {0,1,4,9,16}.
Mathematics
Statistics
What is the chi‑square statistic for observed counts {10,15,25} vs expected {12,18,20}?
Mathematics
Number Theory
Find the prime factors of 2310.
Mathematics
Number Theory
Compute the greatest common divisor of 48 and 180.
Mathematics
Number Theory
What is Euler’s totient function φ(100)?
Mathematics
Number Theory
Determine if 97 is a prime number.
Mathematics
Number Theory
Find the least common multiple of 12, 18, and 24.
Mathematics
Number Theory
Calculate the modular inverse of 7 modulo 26.
Mathematics
Number Theory
What is the smallest integer n such that n² ≡ 1 (mod 15)?
Mathematics
Number Theory
Determine the decimal expansion of 1/7 to ten places.
Mathematics
Plotting
Plot y = sin(x) from x=0 to 2π.
Mathematics
Plotting
Graph the function f(t)=e^(–t) for t∈[0,5].
Mathematics
Plotting
Show the trajectory of y = x² – 4x + 3.
Mathematics
Plotting
Plot the region bounded by y=√(x) and y=x² for x∈[0,2].
Mathematics
Plotting
Display the 3‑D surface z = sin(x) cos(y) for x,y∈[0,π].
Mathematics
Plotting
Graph the probability density function of a normal distribution with μ=0 and σ=1.
Mathematics
Plotting
Plot the Fibonacci sequence terms up to n=12.
Mathematics
Plotting
Show a scatter plot of points (1,2), (3,5), (4,7).
Mathematics
Boolean Algebra
Simplify the expression (A ∧ B) ∨ (¬A ∧ C).
Mathematics
Boolean Algebra
Determine the truth table for A ⊕ B.
Mathematics
Boolean Algebra
Find the minimal sum‑of‑products form for f(A,B,C)=Σ(1,3,5).
Mathematics
Boolean Algebra
Convert the boolean expression (X ∨ Y) ∧ ¬(Y ∧ Z) to NAND form.
Mathematics
Boolean Algebra
Simplify (P → Q) ∧ (Q → R).
Mathematics
Boolean Algebra
Find the Karnaugh map for f(A,B,C,D)=Σ(0,2,5,7).
Mathematics
Boolean Algebra
Determine if the function f(A,B)=A ∧ (¬B ∨ A) is a tautology.
Mathematics
Boolean Algebra
Simplify the expression (A ⊕ B) ∧ (B ⊕ C).
Mathematics
Sequences & Series
Find the sum of the arithmetic series 3,6,9,…,30.
Mathematics
Sequences & Series
Compute the limit of (1 + 1/n)ⁿ as n→∞.
Mathematics
Sequences & Series
Determine the nth term of the geometric series with first term 2 and ratio 3.
Mathematics
Sequences & Series
Calculate the sum of the first 10 terms of the harmonic series.
Mathematics
Sequences & Series
Find the generating function for the Fibonacci sequence.
Mathematics
Sequences & Series
Compute the radius of convergence for Σ n²xⁿ.
Mathematics
Sequences & Series
Determine if the series Σ (−1)ⁿ/n converges.
Mathematics
Sequences & Series
Find the closed form of the Catalan numbers Cₙ.
Physics
Mechanics
What is the kinetic energy of a 5 kg mass moving at 10 m/s?
Physics
Mechanics
Calculate the acceleration of an object with force 50 N and mass 10 kg.
Physics
Mechanics
Determine the work done by a force of 20 N over a displacement of 3 m.
Physics
Mechanics
Find the period of a simple pendulum with length 2 m and g=9.81 m/s².
Physics
Mechanics
Compute the escape velocity from Earth’s surface.
Physics
Mechanics
What is the gravitational potential energy of a 10 kg mass at height 15 m?
Physics
Mechanics
Determine the spring constant k if a 2 kg mass stretches it by 0.5 m.
Physics
Mechanics
Calculate the terminal velocity of a sphere with radius 0.1 m in air.
Physics
Optics
What is the focal length of a lens with power 0.2 diopters?
Physics
Optics
Calculate the refractive index needed to focus parallel rays at 30 cm.
Physics
Optics
Determine the angle of refraction when light passes from air to glass at 45° incidence.
Physics
Optics
Compute the diffraction pattern intensity at distance x for a single slit of width 0.5 mm.
Physics
Optics
What is the magnification of an optical microscope with objective power 40× and eyepiece 10×?
Physics
Optics
Find the focal length of a concave mirror with radius 1 m.
Physics
Optics
Calculate the optical path difference for light traveling through two media of lengths 5 cm and 3 cm with indices 1.5 and 2.0.
Physics
Optics
Determine the angular resolution of a telescope with aperture 1 m at wavelength 500 nm.
Physics
Quantum
What is the energy of a photon with wavelength 600 nm?
Physics
Quantum
Calculate the de Broglie wavelength of an electron moving at 1×10⁶ m/s.
Physics
Quantum
Determine the probability density of an electron in the ground state of a hydrogen atom at r=1 Å.
Physics
Quantum
Compute the Bohr radius for hydrogen.
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Check out the documentation for more information.

WolframAlpha_API_Questions

A curated collection of 276 mathematical, scientific and general‑knowledge questions that can be sent a queries to the Wolfram|Alpha API.
The dataset is released under an MIT License and is hosted on Hugging Face for easy reuse in research, education and application development.

Repository URL: https://huggingface.co/datasets/abhibambhaniya/WolframAlpha_API_Questions
License: MIT


Dataset Contents

id,category,sub_category,question,answer
1,Mathematics,Elementary Math,"What is 47 × 89?",4183
2,Mathematics,Algebra,"Solve for x: 2x² – 4x + 1 = 0.",0.5,1.5
...
276,Additional Domains (New Categories),Environmental Science – Carbon Footprint,"What is the annual carbon footprint of a household consuming 12,000 kWh?",??? 

Note: The above is a truncated preview; the full file contains all 276 entries.


Usage Examples

from datasets import load_dataset
dataset = load_dataset("abhibambhaniya/WolframAlpha_API_Questions", data_files="wolfram_alpha_queries_full.csv")
import pandas as pd

# Convert the 'train' split to a Pandas DataFrame
df = dataset['train'].to_pandas()

# Display the head of the DataFrame
print(df.head())

Dataset Overview

Category Sub‑Category # Entries
Mathematics Elementary Math 10
Algebra 15
Calculus 15
Geometry 8
Linear Algebra 7
Statistics 10
Number Theory 8
Plotting 5
Boolean Algebra 4
Sequences & Series 12
Physics Mechanics 8
Optics 6
Quantum 7
Electrical Circuits & Signal Equations 9
Chemistry Elements 6
Compounds 7
Reactions 9
Units & Conversions Length 4
Temperature 4
Speed 4
Mass 4
Calculations 5
Digital Storage 3
Energy 6
Date & Time Current 4
Information 5
Duration 3
Arithmetic 4
Time Zones 2
Unix Time 3
Calendar 6
Geography Countries 5
Cities 4
Distances 3
Weather 6
Economics Market 4
Currency Exchange Rates 3
Population 2
GDP 3
Compound Interest or ROI Computation 6
Additional Domains (New Categories) Astronomy 5
Engineering – Structural Calculations 6
Computer Science – Algorithm Complexity 4
Environmental Science – Carbon Footprint 5

Total: 276 entries


License

This dataset is released under the MIT License.
Feel free to use, modify, and distribute it for both academic and commercial purposes.


Contributing

Contributions are welcome!

  • Add new questions (ensure they map cleanly to Wolfram|Alpha).
  • Improve answers or fix formatting errors.
  • Submit a pull request with your changes.

Contact

Citation

If you use this dataset in a publication, please cite:

@dataset{WolframAlpha_API_Questions,
  author = {Bambhaniya, Abhimanyu},
  title = {{WolframAlpha\_API\_Questions}: A public dataset of math & science questions},
  year = {2025},
  publisher = {Hugging Face},
  version = {1.0},
  url = {https://huggingface.co/datasets/abhibambhaniya/WolframAlpha_API_Questions}
}
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