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Octave, 50 bytes @(n)char(digits(n)*0+vpasolve(sym('r^3-r-1'))(1)); Try it online! Defines an anonymous function, withn the desired number of digits of output. This answer abuses that digits re …

MATL, 7 bytes 3:5*si- Try it online! Input vector times range 3:5 minus the second input. Contrary to my Octave answer, it's actually shorter to have the inputs as two separate inputs, and shorter …

Octave, 14 bytes @(a)[3:5 -1]*a Try it online! About twice as long as the MATL answer. I initially literally ported this to MATL, but it turned out iY* is longer than just *s. Note that the inpu …

Octave This is basically a copy of Dennis' entry, but optimized for Octave. The main optimization is done by using the full input matrix (and its transpose) and recursion using only matrix indices, r …

MATL, 2 bytes Y\ Try it online! Least squares approach such as used in the APL answer.

MATL, 7 bytes *i2GY*= Inputs in order: l,v,A. Explanation: * % implicitly get l and v, multiply. i % get A 2G % get second input, i.e., v again Y* % perform matrix multiplication = % test equality …

MATLAB, 16 bytes @(A,v,l)A*v==v*l Rather trivial answer. Defines an anonymous function taking the inputs, and calculates element-wise equality of the resulting vectors. A single zero in a logical arr …

Octave, 49 bytes @(p,x,n)(f=@(r,m){@()p(r(r,m-1)),x}{~m+1}())(f,n) Try it online! Or, taking coefficients: Octave, 75 57 bytes @(p,x,n)(f=@(f,n){@()polyval(p,f(f,n-1)),x}{~n+1}())(f,n) Try it onli …

MATL, 11 bytes ii:"ZQ6Mw]& Try it online! Slightly less interesting than my Octave answer, although I think there's some clever juggling of inputs to make sure n=0 works as expected.

Octave, 42 bytes @(n)digits(n)*0+vpasolve(sym('cos(x)-x')); Try it online! Pretty much a duplicate of my answer to Approximate the Plastic Number, but somewhat shorter due to more relaxed requir …

Octave, 38 35 bytes @(a,b,c)exp(log(a):log(b/a):log(c)) Try it online! Turns out @LuisMendo's MATL approach also saves 3 bytes in Octave, despite repeating log three times.

MATL, 17 bytes t:,qtiw^w]x/tb>~) Try it online! Just to get the ball rolling in MATL. I can't imagine there isn't a less verbose way of solving this.

Simple arbitrary base conversion to avoid using floating point math. …

MATL, 9 bytes Z\UsX^tk= Try it online! As simple as it gets Z\ % Divisors of (implicit) input U % Square s % Sum X^ % Square root t % Duplicate this value k= % Is it equal to its rounded value …

Since it was Pi day recently, I have noticed a number of challenges that ask you to calculate pi. Of course, a quiche lorraine is not quite a pie (you can claim a Bonus Score¹ of +1 if you guessed th …