Datasets:
rxmha125
/
rxcodex-math-dataset-v2

Dataset card Data Studio Files
xet
 Community
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sin(1x)/1 + C
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### Human:
If A^T=A, what type of matrix is A?
### Assistant:
Symmetric
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### Human:
Limit of (e^x - 1)/x as x→0
### Assistant:
1
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### Human:
If A^T=A, what type of matrix is A?
### Assistant:
Symmetric
<|endoftext|>
### Human:
Differentiate f(x) = sin(kx)
### Assistant:
4cos(4x)
<|endoftext|>
### Human:
Laplace of e^{at}
### Assistant:
1/(s-a)
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### Human:
If v is an eigenvector of A with eigenvalue λ, what is A^k v?
### Assistant:
λ^k v
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### Human:
Derivative of e^(x^2)
### Assistant:
2x e^(x^2)
<|endoftext|>
### Human:
If Var(X)=σ², what is Var(aX+b)?
### Assistant:
a²σ²
<|endoftext|>
### Human:
If X~Uniform(a,b), what is E[X]?
### Assistant:
(a+b)/2
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### Human:
Newton's method update rule
### Assistant:
x ← x - H^{-1}∇f(x)
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### Human:
If P(A)=0.5 and P(B)=0.4, A,B independent, P(A∪B)?
### Assistant:
0.7
<|endoftext|>
### Human:
Derivative of e^(x^2)
### Assistant:
2x e^(x^2)
<|endoftext|>