The Big Question

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Across
  1. 4. League that includes Harvard
  2. 6. Baseball equipment worn on the hands
  3. 8. Crimson Ivy League university
  4. 10. "___" Park, Red Sox home
  5. 12. A horse's four beat gait, between a walker and a canter
Down
  1. 1. "___" cream (with peaks)
  2. 2. Protein-rich curd used in vegetarian cooking
  3. 3. Material commonly used in horse saddles
  4. 5. Red Sox rivals
  5. 7. Noah Kahan home state
  6. 9. Branch of mathematics involving x and y, or u and i
  7. 11. Red Sox "Big Papi" slugger