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Nope, his creature loses all abilities and becomes a 1/1 frog that is still enchanted by {Invisibility} and so cannot be blocked except by walls

The jest would strip a {Phantom Warrior} or {Triton Shorestalker} of their unblock ability but since here is another aura granting it then it sticks

Thanks.

So if my opponent has a creature enchanted with {invisibility} and I play {polymorphist's jest}, can I block his creature?

Bonte, The strengthener  {G}{G}{U}{U}{3}
Legendary Dragon- Counselmember
Flying
{G}{G}{3}: place 3 +1/+1 counters on up to 2 target creatures.
{U}{U}{3}: Draw cards equal to target creatures power.
5/5
"Lenthra thinks her armies of wealkings can compete with my projects.  Let the Dark Counsel see the power of biotechnology as I crush them all."

Lenthra, The Reduplicator  {W}{W}{G}{G}{3}
Legendary Dragon- Counselor
{G}{G}{3}:choose one: put 2 3/3 beast tokens on the battlefield; or put 2 2/2 knight tokens with vigalance on the battlefield; or put 1 5/5 elemental token with trample on the battlefield
{W}{W}{3}: For every token on the battlefield, put a token under your control on the batlefield as a copy of that token.
5/5
"Bonte thinks his homegrown armies are the most powerful force on this plane.  Let's see his forces compete with my endless armies and we'll see which the Dark Counsel should purchase."

Arcren, Leader of Legions  {R}{R}{W}{W}{3}
Legendary Dragon- Counselmember
Flying
{R}{R}{3}: Creatures you control gain first strike and vigilence until end of turn.
{W}{W}{3}:  Creatures you control gain +2/+2 until end of turn
5/5
""Even the Dark Counsel fears my armies, that's why they let me lead theirs."

Banfeild, He Who Smashes  {G}{G}{R}{R}{3}
Legendary Dragon- Counselmember
flying
{R}{R}{3}: Up to two target creatures gain first strike, haste, and +2/+0 until end of turn.
{G}{G}{3}: Up to 2 target creatures get +3/+3 until end of turn.  Regenerate each creature you control.
5/5
"Humans are fun to smash, but Dragons are ever funnier.  And with the Dark Counsel in control, I can smash everything I want!"

Gonlel, The Recycler  {G}{G}{B}{B}{3}
Legendary Dragon- counselmember
flying
{G}{G}{3}-add one mana of any color to your mana pool for each creature or land in a graveyard
{B}{B}{3}-exile a card from a graveyard.  You may cast it this turn.  If you don't, gain life equal to its power or toughness, whichever is greater.
Everytime a card enters an opponents graveyard, you may have them lose a life.
5/5
"Waste!  How do you expect the Dark Counsel to keep everything running smoothly if humans are running amok, using everything in sight?

Casronor, Bringer of Chaos  {B}{B}{R}{R}{3}
Legendary Dragon- counselmember
flying
{B}{B}{3}: If a permanent is sacrified this turn it is not.  Instead, its owner placs a copy of that permanent onto the battlefield under their control.  Cards discarded this turn may be cast without paying their mana costs.
{R}{R}{3}: choose 5 permanents on the battlefield randomly.  Randomly decide heads or tails, then flip a coin for each permanent chosen. Permanents whose coins land on the chosen side are sacrificed.  Each player then discards 2 cards.
5/5
"I like chaos, and as long as the Dark Counsel rules I can create  as much of it as I want."

Intrepnia, Master Scientist  {R}{R}{U}{U}{3}
Legendary dragon- counselmember
flying
{U}{U}{3}: copy two instants or sorceries cast this turn, you may choose new tagets for the copies
{R}{R}{3}: target creature does damage to itself equal to its CMC and to its controller equal to half its power plus its toughness
5/5
"This has the potential to be quite spectacular, if it works."
"It also has the potential to be quite dangerous."
"Only to your precious humans, the Dark Counsel does not fear my experiments."
Intrepnia, to Esplin.

Silvinra, The All-seeing Eye {B}{B}{U}{U}{3}
Legendary Dragon- counselmember
flying
{U}{U}{3}: look at the top 3 cards of target opponents library and put each on the top or bottom.  For each card put on the top, draw a card
{B}{B}{3}: chose one-each opponent discards two cards or sacrifices two permanents; either way, each opponent draw a card
5/5
"The Dark Counsel knows what you will do before you do.  What could posssibly defeat such power?"

Zeshra, owner of souls {B}{B}{W}{W}{3}
Legendary Dragon- counselmember
flying
{W}{W}{3}: gain 1 life foe each creature on the battlefield
{B}{B}{3}: each opponent loses one life for each creature on the battlefield
5/5
"The Dark Counsel grants power over life and death.  How can mortal humans possibly stand aginst us?"

Siriark, Political Mastermind  {U}{U}{W}{W}{3}
Legendary Dragon- counselmember
flying
{U}{U}{3}:counter target spell; its controller draws a card
{W}{W}{3}: tap target creature, it doesn't untap during its controllers next untap step
abilities of tapped creature you don't control can't be activated
"Did you really think any being, especially humans, could stand against the authority of the Dark Counsel?"
5/5

You activate Jace's ultimate.

The ability goes on the stack.

Assuming Jace only had 8 loyalty counters, it is placed in the graveyard as a state-based action.

Ability resolves. Jace gets shuffled back into library.

This is correct. Adding or removing loyalty from planeswalkers for their abilities is a COST. (See the colon!) this means that the cost is paid in order to add the ability to the stack. Once the ability is added and the cost paid, state-based checks are made, and will move the Planeswalker to the graveyard if it has 0 loyalty remaining.

So new Jace recycles himself... That's nice.  Thanks everyone!

So, if I get {Jace, the living guildpact} to seven loyalty and then activate his ultimate, is he placed in the graveyard before or after his ability activates?  In other words, does his ability reshuffle him back into your library, or does he go to the graveyard after his ability resolves?

If I attack with a {advent of the wurm} with {boon satyr} on it, which makes it a 9/7, and an opponent blocks with a {experiment one} with 3 +1 +1 counters on it which makes it a 4/4 and also blocks with a {fleecemane lion}. If he removes the counters from {experiment one} to regenerate, won't my advent live and both his die and the rest trample over?

From the comprehensive rules:
510.1. First, the active player announces how each attacking creature assigns its combat damage, then the defending player announces how each blocking creature assigns its combat damage. This turn-based action doesn't use the stack.
510.2. Second, all combat damage that's been assigned is dealt simultaneously. This turn-based action doesn't use the stack. No player has the chance to cast spells or activate abilities between the time combat damage is assigned and the time it's dealt.

If he doesn't use the regenerative ability before damage is assigned, he will not have a chance to regenerate his creature before it dies.