I went to www.wolframcloud.com and did it there (one can get a free account; I know not what might be restrictions for commercial usage though). I entered this as one might in any Mathematica session:
Solve[Flatten[{635==a*113+b*147+c*99+d*163+e*106+f*101+g*186+h*97+i*103 ,Thread[0<={a,b,c,d,e,f,g,h,i}<=4]}],{a,b,c,d,e,f,g,h,i},Integers]
(* {{a->0,b->0,c->0,d->2,e->0,f->0,g->0,h->0,i->3},
{a->0,b->0,c->0,d->2,e->2,f->0,g->0,h->1,i->0},
{a->0,b->1,c->1,d->0,e->1,f->0,g->1,h->1,i->0},
{a->0,b->3,c->0,d->0,e->0,f->0,g->0,h->2,i->0},
{a->1,b->0,c->0,d->0,e->3,f->1,g->0,h->0,i->1},
{a->1,b->0,c->1,d->2,e->0,f->0,g->0,h->1,i->0},
{a->1,b->1,c->0,d->1,e->2,f->0,g->0,h->0,i->0},
{a->2,b->0,c->0,d->0,e->1,f->0,g->0,h->1,i->2},
{a->2,b->0,c->0,d->0,e->1,f->3,g->0,h->0,i->0},
{a->2,b->0,c->1,d->0,e->1,f->1,g->0,h->0,i->1},
{a->2,b->1,c->1,d->1,e->0,f->0,g->0,h->0,i->0}} *)