Game Race against Matthew

Your mission is to collect 6 trophies sooner than Matthew. On the way you have to solve various mathematical problems. Matthew starts and then you are changing order one by one.

1. Matthew throws a dice and moves forward as many fields as it fell on the dice. Fields without trophy are skipped. He must solve exercise. If he succeeds, he gets this trophy. If he fails, he will lose that trophy.
2. Then it is your turn and you throw the dice.
3. You move forward and solve exerice in the same way as Matthew.
4. You change order one by one, till one of you gets all trophies and become winner.

I wish you good luck and let win the better of you.