When partner opens 1 or 1 and you have opening bid values, it is best to get into a 2/1 GF auction when possible. When the opening is 1, however, and you have 5+ spades, you can't suppress the suit; you have to start with 1 and catch up later.
What if you have opening bid values and support for partner? With 3-card support, start with a 2/1 in your longest suit. Your 2/1 response promises at least 4 cards. The auction 1-2 is the only 2/1 response which guarantees 5+ cards. Yes, you are stuck in the exact situation where partner opens 1 and you have a 3=4=3=3 GF. You will have to tell some lie (I prefer 2 on the 3-card suit). However, I like to play 1M-3NT as a balanced 13-15 (3 trumps and any 4-3-3 in the other suits), so that can often solve the 3=4=3=3 dilemma.
With 4-card support for partner I prefer to show it right away (either via a Jacoby 2NT or a Splinter-raise if in range). A Splinter-raise shows 4 trumps, 0-1 in the suit and about 12-15 in support. With more, don't use a Splinter bid (start with Jacoby 2NT).
Remember, that 2/1 GF is off in interference (if they double or overcall). It is also off (of course) if the responder is a passed hand.
You might also consider getting Larry's book on 2/1 Game Force HERE or try Michael's 2/1 Webinar series which you can find HERE.
Partner deals and opens 1. RHO Passes. What is your response with:
KJ765
A42
AQ
K32
1
1NT
2
2
2NT
Other
1. As much as I love 2/1 GF auctions, you don't want to distort your hand that much. Bid spades for now and later you will have to create a force (either with new minor after a 1NT rebid or with 4th suit GF).
Partner deals and opens 1. RHO Passes. What is your response with:
K765
42
AQ2
AKQ2
1
1NT
2
Other
2. With such good clubs and poor spades, it typically will work out better to start this way. Establishing the GF makes the rest of the auction easier. You can still find a 4-4 spade fit if it exists. If you start instead with 1, you will have to spend your next bid showing a GF (typically having to go through 4th suit forcing on a less-comfortable start such as 1-1-2-3).
Partner deals and opens 1. RHO Passes. What is your response with:
KJ765
2
AQ2
J832
1NT
2
2NT
3
4
4
4. A perfect description. But, make sure you and your partner are 100% sure that this is a splinter bid and not natural (unless you enjoy playing in 2-1 trump fits).
Partner deals and opens 1. RHO Passes. What is your response with:
AQ65
AK42
2
A932
1NT
2
2
2NT
4
2NT. Too strong for a splinter bid. If you start with 4 and partner bids 4, you are endplayed into a guess. That is why a Splinter bid should have an upper limit (so you can trust partner's judgment when he signs off in game). Don't use a 2/1 GF response with 4 trumps. Start with a Jacoby 2NT and let partner describe his hand.