$5.$ In $2023,$ Peppermint Patty invests $$82,500$ in a limited partnership that is not a passive activity $($only the at$-$risk rules apply$).$

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During $2023,$ her share of the partnership loss is $$36,570.$ In $2024,$ her share of the partnership loss is $$51,850.$

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a$.$ How much can Peppermint Patty deduct on her $2023$ tax return?

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b$.$ What is the amount of Peppermint Patty$$s at$-$risk basis at the end of $2023?$

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c$.$ What is the amount of Peppermint Patty$$s suspended losses at the end of $2023?$

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d$.$ How much can Peppermint Patty deduct on $2024$ tax return?

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e$.$ What is the amount of Peppermint Patty$$s at$-$risk basis at the end of $2024?$

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f$.$ What is the amount of Peppermint Patty$$s suspended losses at the end of $2024?$

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