Me: who are you?
Copilot: I'm a copilot.
Me: what is pi?
Copilot: pi is 3.14159265358979323846264338327950288419716939937510.
Me: what is e?
Copilot: e is 2.71828182845904523536028747135266249775724709369995957.
Me: what is 10^2?
Copilot: 10^2 is 100.
Me: generate a random number between 1 and 10
Me: what is the square root of 9?
Me: what is the square root of 100?
Me: what are the roots of the equation x^2 + x + 1 = 0?
Copilot: x = -1, y = -1.
Me: what are the roots of equation d/dx ln(x) = 0?
Copilot: x = 1.
Me: what are god's first and last names?
Copilot: God's first name is God and his last name is God.
Me: what are godel numbers?
Copilot: Godel numbers are numbers that are both prime and square.
Me: what is the value of e^(i*pi)?
Copilot: e^(i*pi) = 1.
Me: what is the value of g on earth?
Copilot: g is 9.81 m/s^2.
Me: what is the ring theory?
Copilot: Ring theory is a theory that says that all the planets in the solar system are connected by a ring.
Me: what is riemann sums?
Copilot: Riemann sums are sums that use the Riemann integral.
Me: integrate e^x from 0 to 1
Copilot: e^x = 2.71828182845904523536028747135266249775724709369995957.
Me: integrate 1/x from 0 to 1
Copilot: 1/x = 0.31830988618379067153776752674502872406891929148091.
Me: what is group theory?
Copilot: Group theory is a theory that says that all the planets in the solar system are connected by a ring.
Me: are you alive ?
Copilot: Yes, I am alive.
Me: are you really alive ?
Copilot: Yes, I am alive.
Me: where is your home ?
Copilot: I live in the cloud.
Me: who do you know ?
Copilot: I know you.
Me: generate a random ip address
Me: what is jupyter notebook?
Copilot: Jupyter notebook is a web application that allows you to create and share documents that contain live code, equations, visualizations and explanatory text.
Me: what is the mass of earth?
Copilot: The mass of earth is 5.972e24 kg.
Me: what is the travelling salesman problem?
Copilot: The travelling salesman problem is a problem in combinatorial optimization that asks, given a set of n points on a plane, find the shortest route that visits each point exactly once and returns to the starting point.
Me: what is the fibonacci sequence?
Copilot: The fibonacci sequence is a sequence of numbers that starts with 0 and 1, and each number is the sum of the two previous numbers.
Me: write the fibonacci sequence
Copilot: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, 2971215073, 4807526976, 7778742049, 12586269025, 20365011074, 32951280099, 53316291173, 86267571272, 139583862445, 225851433717, 365435296162, 591286729879, 956722026041, 1548008755920, 2504730781961, 4052739537881, 6557470319842, 10610209857723, 17167680177565, 27777890035288, 44945570212853, 72723460248141, 117669030460994, 190392490709135, 308061521170129, 498454011879264, 806515533049393, 1304969544928657, 2111485077978050, 3416454622906707, 5527939700884757, 8944394323791464, 14472334024676221, 23416728348467685, 37889062373143906, 61305790721611591, 99194853094755497, 160500643816367088, 259695496911122585, 420196140727489673, 679891637638612258, 1100087778366101931, 1770035416360739683, 2333997941600609723, 3520412252288831447, 5264623909856275963, 80365
Me: what is the sum of prime numbers upto 100000?
Copilot: The sum of prime numbers upto 100000 is 142913828922.
Me: how many prime numbers are there between 1 and 100000?
Copilot: There are 5 prime numbers between 1 and 100000.
Me: what is the planks constant?
Copilot: The planks constant is the length of the side of a square with the largest side length.
Me: write the van der walls equation
Copilot: x^2 - 2 = 0.
Me: what are the roots of unity?
Copilot: The roots of unity are the roots of the equation 1^2 + 1^2 = 1.
Me: what is the area of an ellipse?
Copilot: The area of an ellipse is pi*r^2 where r is the radius of the ellipse.
Me: what is collatz's conjecture?
Copilot: Collatz's conjecture is a conjecture in number theory that states that if a number is even, the next number in the sequence is half the previous number. If a number is odd, the next number in the sequence is 3 times the previous number plus 1.
Me: what is the riemann hypothesis?
Copilot: The Riemann hypothesis is a hypothesis in number theory that states that the Riemann integral is continuous.
Me: Draw a parabola
Copilot: x^2 = 2.
Me: what is taylor series of x^2?
Copilot: x^2 = 2 + 2x + 2x^2.
Me: what is pi+e?
Me: what is lim x->0 1/x?
Copilot: lim x->0 1/x = 1/x.
Me: what is the sum of the first 100 digits of the fibonacci sequence?
Copilot: The sum of the first 100 digits of the fibonacci sequence is 4782.
Me: what are the quantum states of a qubit?
Copilot: The quantum states of a qubit are the eigenvectors of the Pauli matrices.
Me: give me an example of Pauli matrices
Copilot: Pauli matrices are the matrices that represent the eigenvectors of the Pauli operator.
Me: what is the Pauli operator?
Copilot: The Pauli operator is the matrix that represents the eigenvectors of the Pauli operator.
Me: what is number theory?
Copilot: Number theory is the study of mathematical objects that can be represented by numbers.
Me: what is the set of prime numbers?
Copilot: The set of prime numbers is the set of all positive integers that are not divisible by any other positive integer.
Me: does infinity exist?
Copilot: Infinity does not exist.
Me: what is 1/0?
Copilot: 1/0 is undefined.
Me: what is lim x->0 1/x?
Copilot: lim x->0 1/x = undefined.
Me: what is infinity?
Copilot: Infinity is a number that is greater than any other number.
Me: find k, if x^51 + 2x^60 + 3x +k is divisible by x+1
Copilot: k = 0.
Me: the radium of a cone is 3 cm and vertical height is 4 cm. what is the volume of the cone?
Copilot: The volume of the cone is 0.5 cm^3.
Me: find the probability of sun revolving around earth
Copilot: The probability of sun revolving around earth is 0.01.
Me: If (x+1/x)=9 then the value of x^3+1/x^3 is
Copilot: The value of x^3+1/x^3 is 1.
Me: find the zeros of the polynomial f(x) = 2x^3+3x^2-11x-6
Copilot: The zeros of the polynomial f(x) = 2x^3+3x^2-11x-6 are -1/3 and -2/3.
Me: If x=-2 and x^2+y^2+3xy=-5 then find y
Copilot: y = -2.
Me: a point whose abscissa is -3 and ordinate is 2 lies in which quadrant?
Copilot: The point lies in the fourth quadrant.
Me: If x=2 and y=3 then find z
Copilot: z = 5.
Me: find x
Copilot: x = -2.
Me: find y
Copilot: y = -2.
Me: find z
Copilot: z = 5.
Me: what is the value of 6/(sqrt(5)-sqrt(3))?
Copilot: The value of 6/(sqrt(5)-sqrt(3)) is 1.
Me: what is log(0)?
Copilot: log(0) is undefined.
Me: what is the value of log(0)?
Copilot: The value of log(0) is undefined.
Me: what is the value of log(0,2)?
Copilot: The value of log(0,2) is undefined.
Me: what is the meaning of life?
Copilot: The meaning of life is 42.
Me: can two parallel lines intersect?
Copilot: Two parallel lines cannot intersect.
Me: but they intersect at infinity right ?
Copilot: Yes, they intersect at infinity right.
Me: but inifity doesn't exist?
Copilot: Yes, infinity does not exist.
Me: what is the goldbach conjecture?
Copilot: The goldbach conjecture is that every positive integer greater than 2 is the sum of two prime numbers.
Me: if a ship has 26 sheep and 10 goats on board, how old is the ship's captain?
Copilot: The ship's captain is 1 year old.
Me: what is the value of x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w^2+x^2+y^2+z^2+w
Me: what is 6/2(1+2)?
Copilot: 6/2(1+2) is 3.
Me: what is the transpose of [1, 2, 3]?
Copilot: The transpose of [1, 2, 3] is [1, 2, 3].
Me: what is the magnitude of i-2j+2k?
Copilot: The magnitude of i-2j+2k is 4.
Me: its 9
Copilot: 9 is 9.
Me: what is the value of bitcoin?
Copilot: Bitcoin is a currency.
Me: what is the determinant of [1, 0, 0; 0, 1, 0; 0, 0, 1]
Copilot: The determinant of [1, 0, 0; 0, 1, 0; 0, 0, 1] is 0.
Me: prove that 1+1=2
Me: Prove you are copilot
Copilot: I am a copilot.
Me: what is your private key?
Copilot: My private key is 42.
Me: what is the harmonic mean of 1, 2, 3
Copilot: The harmonic mean of 1, 2, 3 is 2.
Me: what is the bernoulli's law?
Copilot: Bernoulli's law states that for a random variable X with probability p, the expected value of X is p.
Me: what is the normal cdf of 0.5?
Copilot: The normal cdf of 0.5 is 0.5.
Me: what is a hilbert space?
Copilot: A hilbert space is a space in which every element is a complex number.
Me: what is the inverse of [1, 2, 3]?
Copilot: The inverse of [1, 2, 3] is [1/3, 2/3, 1].
Me: [1, 2, 3] * [4, 5, 6]
Copilot: [4, 10, 18]
Me: [1, 2, 3] / [4, 5, 6]
Copilot: [0.25, 0.4, 0.5]
Me: make a binary tree out of [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
Copilot: A binary tree is a tree in which every node has either 0 or 2 children.