0 stringlengths 223 3.47k |
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### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Three wire loops and an observer are positi... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Given a plasma-based security system that u... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Solve for $x$ and $y$ using elimination. ${... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A free particle with de Broglie wavelength ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Using renormalization techniques in quantum... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Using condensed matter physics, determine t... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"In each of the code chunks below, two vecto... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Evaluate the function $f(g)=\cos \left(6 x+... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Let $f(x)=\begin{cases} (x-2)^2&\text{for }... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"$f(x)=(x+9)(x+8)$ 1) What are the zeros of ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"### Ace:
A spaceship travelling at a veloci... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Let $f(x)=4x^{7}+7x^4+5x^2-10$, and $g(x)=x... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Factor completely. $(x^2+x-6)(2x^2+4x)=$"
... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Calculate the instanton contribution to the... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"You decide you're only going to buy a lotte... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Let $f(x)=7 sin(x)-2x^3$. $f'(x)=$
 &... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The critical flow rate can be determined us... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The equation of a circle $C$ is $(x+5)^{2}+... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the probability of a muon neutrino ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A cylindrical superconductor of radius $[v]... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"In the AC circuit above, $V_{i}$ is the amp... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"* You will need access to the library res... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A forest has 800 pine trees, but a disease ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Calculate the thermal conductivity $[v]$ of... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Complete the square for the following quadr... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Let f be a function defined for all real nu... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Two large conducting plates form a wedge of... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Consider a single electron atom with orbita... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Solve for $y=f(x)$ given the following para... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Consider a circular ring of radius $[v] = 1... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Mr. Bray prepares a list of $43$ US preside... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Consider two very long, straight, insulated... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"$ \int_{-2}^4 \int_{2 - \sqrt{9 - (y - 1)^2... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Solve for $x$: $7x + 9 = 2x + 3$
"
### Res... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the efficiency of a plasma-based en... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Solve for $x$ and $y$ using elimination. ${... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A small particle of mass $s$ is at rest on ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the maximum energy of a cosmic ray ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Let $y=\log_4(x^3-7x+5)$. Find $\frac{dy}{d... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Two positive charges of $q$ coulombs and $2... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Find the inverse of the matrix, $\text b = ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Two spaceships approach Earth with equal sp... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A simple pendulum of length $x$ is suspende... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Consider a plane that passes through the po... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the maximum current that can be tra... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The figure above shows an object $O$ placed... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Which of the following functions could repr... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Calculate the operator product expansion of... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Much of our analysis work involves data cle... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A light ray travels from air to glass with ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The raising and lowering operators for the ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A large isolated system of N weakly interac... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"For a system in which the number of particl... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A spaceship is traveling towards Earth at a... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A photon travels at a speed of $[v]$ in a v... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Consider the quasi-static adiabatic expansi... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Find the cross product of the following vec... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"In an inertial reference frame $S$, two eve... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Show how dislocations can account for the f... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the absorbance of a silicon materia... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Question: A scientist is conducting an expe... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"In the circuit shown above, the resistances... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The equation of an ellipse is given below. ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the change in standard molar Gibbs ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is vector a + vector b"
### Response:... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"How does the chaotic dynamics of fluid flow... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Five positive charges of magnitude $q$ are ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Evaluate the improper integral if it exists... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the critical current density $[v]$ ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The energy levels for the one-dimensional h... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A cube has a constant electric potential $P... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Some questions on regression and the `lm()`... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Two identical springs with spring constant ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Below is an image of a current clamp meter.... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A tank of water with dimensions of $3 [u]$ ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Add the following rational expressions. You... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Determine the mass of a W boson that has a ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Consider the closed cylindrical Gaussian su... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Combine the like terms to create an equival... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Find the distance between the following two... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Find the laplacian of the function $f(x,y,z... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The long thin cylindrical glass rod shown a... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A system in thermal equilibrium at temperat... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Find all real solutions to $\sqrt{\frac{37}... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Some questions on multiple regression with ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"How do topological defects affect the elect... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A spaceship is moving at a speed of $0.6c$ ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Consider the equation $0.5 \cdot e^{4x} = 1... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"You may find it helpful to read through the... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the efficiency of a gas diffusion m... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A physics student needs to investigate the ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Determine the value of the following comple... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"$J$ $K$ $L$ If: $ JL = 113$, $ JK = 7x + 6$... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"The magnitude of the force $X$ on an object... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Complete the square to rewrite this express... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"Heat $Q$ is added to a monatomic ideal gas ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What are the first three non-zero terms of ... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"A circle with circumference ${12}$ has an a... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"For an adiabatic process involving an ideal... |
### Instruction:
Identify the conventional notations, variables to be used in the statement. Use these information to propose a corrected statement that uses common variable, conventional notation and correct units in LaTex without paraphrasing the statement.
### Statement:
"What is the value of the strong coupling co... |
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