AlgMap-14.1 [[input:ans]] [[validation:ans]]]]> By factorisng the numerator we obtain: \[\frac{@factor(cf1*v+k1)@}{@cf2*v@}. \] Then we can simplify the constants from the numerator and denominator to obtain: \[ {@ta@}. \] 1 0.1 0 v:rand([x,y,z,t]); f:rand(5)+2; cf1:(rand(3)+1)*f; cf2:(rand(3)+1)*f; k1:(rand(2)+2)*cf1; ta:factor((cf1*v+k1)/(cf2*v)); ta2:ratsimp((cf1*v+k1)/(cf2*v)); [[feedback:prt1]]

]]> \[ {@(cf1*v+k1)/(cf2*v)@} = {@ta@}. \] 1 0 0 *10 none 1 i cos-1 lang [ 0 {"author":[{"firstName":"Tony","lastName":"Barnard","institution":"","year":"1999"}],"language":["en"],"isPartOf":"STACK Library - Algebra Refresher","license":"cc-sa-4.0","additional":{"UoE":{"Notes":"This is automatically generated metadata."}},"freeform":{}} ans algebraic ta 15 1 0 0 1 1 1 1 1 prt1 1.0000000 1 1 0 AlgEquiv ans ta 0 = 0.0000000 1 1-0-T = 0.0000000 -1 1-0-F 1 SingleFrac ans ta 0 = 0.0000000 2 1-1-T = 0.0000000 -1 1-1-F 2 AlgEquiv gcd(num(ans),denom(ans)) 1 0 = 1.0000000 -1 1-2-T = 0.0000000 -1 1-2-F Your answer is not in it's lowest terms but is otherwise correct. 1720352247 1847020159 410204508 1413931985 1369593628 1208877863 1900468977 31933637 1666735042 125358585 1 ans ta prt1 1.0000000 0.0000000 1-2-T 2 ans ta2 prt1 1.0000000 0.0000000 1-2-T 3 ans (cf1*v+k1)/(cf2*v) prt1 0.0000000 0.1000000 1-2-F