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Agentic AI math problems by hand ✍️ The last five in Chapter 1. Download PDF: byhand.ai/tokens-16-20
Problems 16 to 20:
16. Tokens on a budget: run the pricing backward, cost in, tokens out
17. How long will it take? Reading is parallel, writing is one token at a time
18. The split matters: same total tokens, one task finishes three times sooner
19. Pricing per million tokens: how every real API actually quotes it
20. Tokens from the bill: work backward from what you were charged
Previous problems:
1. Count the tokens
2. Subword splitting
3. Punctuation counts
4. Tokens per word
5. Will it fit?
Download: byhand.ai/tokens-1-5
6. The price of a call
7. Two kinds of token
8. Input or output?
9. The two-part bill
10. End-to-end call cost
Download: byhand.ai/tokens-6-10
11. Comparing three calls
12. The average call
13. The system prompt
14. The system prompt tax
15. Calls in a budget
Download: byhand.ai/tokens-11-15
Download, print and solve. ✍️
Problems 16 to 20:
16. Tokens on a budget: run the pricing backward, cost in, tokens out
17. How long will it take? Reading is parallel, writing is one token at a time
18. The split matters: same total tokens, one task finishes three times sooner
19. Pricing per million tokens: how every real API actually quotes it
20. Tokens from the bill: work backward from what you were charged
Previous problems:
1. Count the tokens
2. Subword splitting
3. Punctuation counts
4. Tokens per word
5. Will it fit?
Download: byhand.ai/tokens-1-5
6. The price of a call
7. Two kinds of token
8. Input or output?
9. The two-part bill
10. End-to-end call cost
Download: byhand.ai/tokens-6-10
11. Comparing three calls
12. The average call
13. The system prompt
14. The system prompt tax
15. Calls in a budget
Download: byhand.ai/tokens-11-15
Download, print and solve. ✍️
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