Datasets:

Asilarkness
/

DiffuRefill-SFT

+{"prompt": "Question: In a contest, Zoe answers 15 questions correctly. Zoe gets 3 points for each correct answer and loses 5 points for each of the 7 questions Zoe answered incorrectly. What is Zoe's total score?\nAnswer:", "response": " Points from correct = 15 × 3 = 45\nPoints lost = 7 × 5 = 35\nTotal = 45 − 35 = 10\n#### 10", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a game, Mia answers 10 questions incorrectly and 5 questions correctly. Mia loses 3 points for each incorrect answer and gets 8 points for each correct answer. What is Mia's total score?\nAnswer:", "response": " Points from correct = 5 × 8 = 40\nPoints lost = 10 × 3 = 30\nTotal = 40 − 30 = 10\n#### 10", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a game, Zoe answers 7 questions correctly. Zoe gets 6 points for each correct answer and loses 5 points for each of the 4 questions Zoe answered incorrectly. What is Zoe's total score?\nAnswer:", "response": " Points from correct = 7 × 6 = 42\nPoints lost = 4 × 5 = 20\nTotal = 42 − 20 = 22\n#### 22", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a challenge, Remy answers 9 questions incorrectly and 10 questions correctly. Remy loses 5 points for each incorrect answer and gets 9 points for each correct answer. What is Remy's total score?\nAnswer:", "response": " Points from correct = 10 × 9 = 90\nPoints lost = 9 × 5 = 45\nTotal = 90 − 45 = 45\n#### 45", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Zoe answers 20 questions correctly. Zoe gets 10 points for each correct answer and loses 3 points for each of the 12 questions Zoe answered incorrectly. What is Zoe's total score?\nAnswer:", "response": " Points from correct = 20 × 10 = 200\nPoints lost = 12 × 3 = 36\nTotal = 200 − 36 = 164\n#### 164", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Remy gets 6 points for each correct answer and loses 4 points for each incorrect answer in a competition. Remy answers 20 questions correctly and 8 questions incorrectly. What is Remy's total score?\nAnswer:", "response": " Points from correct = 20 × 6 = 120\nPoints lost = 8 × 4 = 32\nTotal = 120 − 32 = 88\n#### 88", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Kai gets 6 points for each correct answer and loses 3 points for each incorrect answer in a contest. Kai answers 9 questions correctly and 10 questions incorrectly. What is Kai's total score?\nAnswer:", "response": " Points from correct = 9 × 6 = 54\nPoints lost = 10 × 3 = 30\nTotal = 54 − 30 = 24\n#### 24", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Mia gets 5 points for each correct answer and loses 2 points for each incorrect answer in a game. Mia answers 12 questions correctly and 4 questions incorrectly. What is Mia's total score?\nAnswer:", "response": " Points from correct = 12 × 5 = 60\nPoints lost = 4 × 2 = 8\nTotal = 60 − 8 = 52\n#### 52", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Ava answers 10 questions correctly. Ava gets 7 points for each correct answer and loses 2 points for each of the 8 questions Ava answered incorrectly. What is Ava's total score?\nAnswer:", "response": " Points from correct = 10 × 7 = 70\nPoints lost = 8 × 2 = 16\nTotal = 70 − 16 = 54\n#### 54", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Ava answers 18 questions correctly. Ava gets 10 points for each correct answer and loses 5 points for each of the 3 questions Ava answered incorrectly. What is Ava's total score?\nAnswer:", "response": " Points from correct = 18 × 10 = 180\nPoints lost = 3 × 5 = 15\nTotal = 180 − 15 = 165\n#### 165", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Sam answers 16 questions correctly. Sam gets 8 points for each correct answer and loses 3 points for each of the 8 questions Sam answered incorrectly. What is Sam's total score?\nAnswer:", "response": " Points from correct = 16 × 8 = 128\nPoints lost = 8 × 3 = 24\nTotal = 128 − 24 = 104\n#### 104", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Zoe answers 6 questions incorrectly and 19 questions correctly. Zoe loses 2 points for each incorrect answer and gets 4 points for each correct answer. What is Zoe's total score?\nAnswer:", "response": " Points from correct = 19 × 4 = 76\nPoints lost = 6 × 2 = 12\nTotal = 76 − 12 = 64\n#### 64", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a game, Kai answers 8 questions incorrectly and 7 questions correctly. Kai loses 2 points for each incorrect answer and gets 5 points for each correct answer. What is Kai's total score?\nAnswer:", "response": " Points from correct = 7 × 5 = 35\nPoints lost = 8 × 2 = 16\nTotal = 35 − 16 = 19\n#### 19", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Leo answers 3 questions incorrectly and 13 questions correctly. Leo loses 4 points for each incorrect answer and gets 5 points for each correct answer. What is Leo's total score?\nAnswer:", "response": " Points from correct = 13 × 5 = 65\nPoints lost = 3 × 4 = 12\nTotal = 65 − 12 = 53\n#### 53", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Mia gets 8 points for each correct answer and loses 5 points for each incorrect answer in a game. Mia answers 11 questions correctly and 2 questions incorrectly. What is Mia's total score?\nAnswer:", "response": " Points from correct = 11 × 8 = 88\nPoints lost = 2 × 5 = 10\nTotal = 88 − 10 = 78\n#### 78", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a challenge, Leo answers 10 questions incorrectly and 18 questions correctly. Leo loses 4 points for each incorrect answer and gets 8 points for each correct answer. What is Leo's total score?\nAnswer:", "response": " Points from correct = 18 × 8 = 144\nPoints lost = 10 × 4 = 40\nTotal = 144 − 40 = 104\n#### 104", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Kai gets 10 points for each correct answer and loses 3 points for each incorrect answer in a competition. Kai answers 20 questions correctly and 7 questions incorrectly. What is Kai's total score?\nAnswer:", "response": " Points from correct = 20 × 10 = 200\nPoints lost = 7 × 3 = 21\nTotal = 200 − 21 = 179\n#### 179", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Remy answers 9 questions correctly. Remy gets 7 points for each correct answer and loses 4 points for each of the 3 questions Remy answered incorrectly. What is Remy's total score?\nAnswer:", "response": " Points from correct = 9 × 7 = 63\nPoints lost = 3 × 4 = 12\nTotal = 63 − 12 = 51\n#### 51", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Sam gets 5 points for each correct answer and loses 2 points for each incorrect answer in a game. Sam answers 19 questions correctly and 8 questions incorrectly. What is Sam's total score?\nAnswer:", "response": " Points from correct = 19 × 5 = 95\nPoints lost = 8 × 2 = 16\nTotal = 95 − 16 = 79\n#### 79", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Mia gets 5 points for each correct answer and loses 5 points for each incorrect answer in a challenge. Mia answers 9 questions correctly and 3 questions incorrectly. What is Mia's total score?\nAnswer:", "response": " Points from correct = 9 × 5 = 45\nPoints lost = 3 × 5 = 15\nTotal = 45 − 15 = 30\n#### 30", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Leo answers 17 questions correctly. Leo gets 4 points for each correct answer and loses 4 points for each of the 8 questions Leo answered incorrectly. What is Leo's total score?\nAnswer:", "response": " Points from correct = 17 × 4 = 68\nPoints lost = 8 × 4 = 32\nTotal = 68 − 32 = 36\n#### 36", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Ava gets 8 points for each correct answer and loses 5 points for each incorrect answer in a game. Ava answers 11 questions correctly and 10 questions incorrectly. What is Ava's total score?\nAnswer:", "response": " Points from correct = 11 × 8 = 88\nPoints lost = 10 × 5 = 50\nTotal = 88 − 50 = 38\n#### 38", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Ava gets 8 points for each correct answer and loses 2 points for each incorrect answer in a competition. Ava answers 14 questions correctly and 3 questions incorrectly. What is Ava's total score?\nAnswer:", "response": " Points from correct = 14 × 8 = 112\nPoints lost = 3 × 2 = 6\nTotal = 112 − 6 = 106\n#### 106", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Remy answers 18 questions correctly. Remy gets 8 points for each correct answer and loses 4 points for each of the 4 questions Remy answered incorrectly. What is Remy's total score?\nAnswer:", "response": " Points from correct = 18 × 8 = 144\nPoints lost = 4 × 4 = 16\nTotal = 144 − 16 = 128\n#### 128", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Mia answers 7 questions incorrectly and 15 questions correctly. Mia loses 2 points for each incorrect answer and gets 10 points for each correct answer. What is Mia's total score?\nAnswer:", "response": " Points from correct = 15 × 10 = 150\nPoints lost = 7 × 2 = 14\nTotal = 150 − 14 = 136\n#### 136", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Sam gets 7 points for each correct answer and loses 3 points for each incorrect answer in a contest. Sam answers 4 questions correctly and 5 questions incorrectly. What is Sam's total score?\nAnswer:", "response": " Points from correct = 4 × 7 = 28\nPoints lost = 5 × 3 = 15\nTotal = 28 − 15 = 13\n#### 13", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Mia gets 6 points for each correct answer and loses 3 points for each incorrect answer in a competition. Mia answers 11 questions correctly and 8 questions incorrectly. What is Mia's total score?\nAnswer:", "response": " Points from correct = 11 × 6 = 66\nPoints lost = 8 × 3 = 24\nTotal = 66 − 24 = 42\n#### 42", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Mia answers 5 questions correctly. Mia gets 9 points for each correct answer and loses 3 points for each of the 10 questions Mia answered incorrectly. What is Mia's total score?\nAnswer:", "response": " Points from correct = 5 × 9 = 45\nPoints lost = 10 × 3 = 30\nTotal = 45 − 30 = 15\n#### 15", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: Remy gets 9 points for each correct answer and loses 4 points for each incorrect answer in a competition. Remy answers 11 questions correctly and 5 questions incorrectly. What is Remy's total score?\nAnswer:", "response": " Points from correct = 11 × 9 = 99\nPoints lost = 5 × 4 = 20\nTotal = 99 − 20 = 79\n#### 79", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a game, Nora answers 10 questions incorrectly and 20 questions correctly. Nora loses 5 points for each incorrect answer and gets 10 points for each correct answer. What is Nora's total score?\nAnswer:", "response": " Points from correct = 20 × 10 = 200\nPoints lost = 10 × 5 = 50\nTotal = 200 − 50 = 150\n#### 150", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Zoe answers 17 questions correctly. Zoe gets 4 points for each correct answer and loses 3 points for each of the 12 questions Zoe answered incorrectly. What is Zoe's total score?\nAnswer:", "response": " Points from correct = 17 × 4 = 68\nPoints lost = 12 × 3 = 36\nTotal = 68 − 36 = 32\n#### 32", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Nora answers 9 questions incorrectly and 15 questions correctly. Nora loses 2 points for each incorrect answer and gets 7 points for each correct answer. What is Nora's total score?\nAnswer:", "response": " Points from correct = 15 × 7 = 105\nPoints lost = 9 × 2 = 18\nTotal = 105 − 18 = 87\n#### 87", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Nora answers 4 questions incorrectly and 16 questions correctly. Nora loses 4 points for each incorrect answer and gets 10 points for each correct answer. What is Nora's total score?\nAnswer:", "response": " Points from correct = 16 × 10 = 160\nPoints lost = 4 × 4 = 16\nTotal = 160 − 16 = 144\n#### 144", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a challenge, Sam answers 17 questions correctly. Sam gets 3 points for each correct answer and loses 3 points for each of the 3 questions Sam answered incorrectly. What is Sam's total score?\nAnswer:", "response": " Points from correct = 17 × 3 = 51\nPoints lost = 3 × 3 = 9\nTotal = 51 − 9 = 42\n#### 42", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Mia answers 5 questions correctly. Mia gets 8 points for each correct answer and loses 2 points for each of the 3 questions Mia answered incorrectly. What is Mia's total score?\nAnswer:", "response": " Points from correct = 5 × 8 = 40\nPoints lost = 3 × 2 = 6\nTotal = 40 − 6 = 34\n#### 34", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a game, Remy answers 4 questions incorrectly and 11 questions correctly. Remy loses 2 points for each incorrect answer and gets 3 points for each correct answer. What is Remy's total score?\nAnswer:", "response": " Points from correct = 11 × 3 = 33\nPoints lost = 4 × 2 = 8\nTotal = 33 − 8 = 25\n#### 25", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Nora answers 11 questions correctly. Nora gets 4 points for each correct answer and loses 2 points for each of the 4 questions Nora answered incorrectly. What is Nora's total score?\nAnswer:", "response": " Points from correct = 11 × 4 = 44\nPoints lost = 4 × 2 = 8\nTotal = 44 − 8 = 36\n#### 36", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a competition, Leo answers 18 questions correctly. Leo gets 3 points for each correct answer and loses 2 points for each of the 12 questions Leo answered incorrectly. What is Leo's total score?\nAnswer:", "response": " Points from correct = 18 × 3 = 54\nPoints lost = 12 × 2 = 24\nTotal = 54 − 24 = 30\n#### 30", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a contest, Leo answers 4 questions incorrectly and 11 questions correctly. Leo loses 4 points for each incorrect answer and gets 3 points for each correct answer. What is Leo's total score?\nAnswer:", "response": " Points from correct = 11 × 3 = 33\nPoints lost = 4 × 4 = 16\nTotal = 33 − 16 = 17\n#### 17", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: In a game, Ava answers 6 questions correctly. Ava gets 5 points for each correct answer and loses 5 points for each of the 2 questions Ava answered incorrectly. What is Ava's total score?\nAnswer:", "response": " Points from correct = 6 × 5 = 30\nPoints lost = 2 × 5 = 10\nTotal = 30 − 10 = 20\n#### 20", "source": "tp_wordproblem", "tid": "8c0b911601", "level": "general"}
+{"prompt": "Question: The Lakeside Shopping Plaza has 6 stores on the ground floor. Each store sells a postcard for $25 and a pen for $28. If a visitor buys one postcard and one pen from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $25 + $28 = $53\nTotal cost = 6 × $53 = $318\n#### 318", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Pinegrove Shopping Plaza has 3 stores on the ground floor. Each store sells a postcard for $28 and a pin for $10. If a visitor buys one postcard and one pin from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $28 + $10 = $38\nTotal cost = 3 × $38 = $114\n#### 114", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Riverbend Shopping Plaza has 7 stores on the ground floor. Every store sells a sticker for $23 and a cap for $17. If a customer buys one sticker and one cap from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $23 + $17 = $40\nTotal cost = 7 × $40 = $280\n#### 280", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Old Town Shopping Plaza has 6 stores on the ground floor. Every store sells a sticker for $21 and a coaster for $15. If a customer buys one sticker and one coaster from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $21 + $15 = $36\nTotal cost = 6 × $36 = $216\n#### 216", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Sunrise Shopping Plaza has 6 stores on the ground floor. Each store sells a scarf for $7 and a pin for $27. If a visitor buys one scarf and one pin from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $7 + $27 = $34\nTotal cost = 6 × $34 = $204\n#### 204", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Hilltop Shopping Plaza has 6 stores on the ground floor. Every store sells a pin for $29 and a pen for $16. If a customer buys one pin and one pen from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $29 + $16 = $45\nTotal cost = 6 × $45 = $270\n#### 270", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Sunrise Shopping Plaza has 5 stores on the ground floor. Every store sells a coaster for $5 and a keychain for $11. If a customer buys one coaster and one keychain from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $5 + $11 = $16\nTotal cost = 5 × $16 = $80\n#### 80", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Hilltop Shopping Plaza has 3 stores on the ground floor. Each store sells a scarf for $29 and a cap for $30. If a visitor buys one scarf and one cap from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $29 + $30 = $59\nTotal cost = 3 × $59 = $177\n#### 177", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Maplewood Shopping Plaza has 7 stores on the ground floor. Each store sells a postcard for $18 and a scarf for $14. If a visitor buys one postcard and one scarf from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $18 + $14 = $32\nTotal cost = 7 × $32 = $224\n#### 224", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Old Town Shopping Plaza has 4 stores on the ground floor. Each store sells a postcard for $4 and a pin for $19. If a visitor buys one postcard and one pin from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $4 + $19 = $23\nTotal cost = 4 × $23 = $92\n#### 92", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Cedar Point Shopping Plaza has 8 stores on the ground floor. Every store sells a sticker for $23 and a pin for $30. If a customer buys one sticker and one pin from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $23 + $30 = $53\nTotal cost = 8 × $53 = $424\n#### 424", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Old Town Shopping Plaza has 5 stores on the ground floor. Every store sells a pen for $12 and a cap for $4. If a customer buys one pen and one cap from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $12 + $4 = $16\nTotal cost = 5 × $16 = $80\n#### 80", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Maplewood Shopping Plaza has 5 stores on the ground floor. Every store sells a pen for $9 and a sticker for $8. If a customer buys one pen and one sticker from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $9 + $8 = $17\nTotal cost = 5 × $17 = $85\n#### 85", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Pinegrove Shopping Plaza has 6 stores on the ground floor. Each store sells a cap for $28 and a keychain for $12. If a visitor buys one cap and one keychain from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $28 + $12 = $40\nTotal cost = 6 × $40 = $240\n#### 240", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Pinegrove Shopping Plaza has 7 stores on the ground floor. Every store sells a bookmark for $4 and a keychain for $11. If a customer buys one bookmark and one keychain from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $4 + $11 = $15\nTotal cost = 7 × $15 = $105\n#### 105", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Pinegrove Shopping Plaza has 3 stores on the ground floor. Every store sells a coaster for $28 and a pin for $13. If a customer buys one coaster and one pin from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $28 + $13 = $41\nTotal cost = 3 × $41 = $123\n#### 123", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Riverbend Shopping Plaza has 5 stores on the ground floor. Each store sells a pin for $27 and a tote bag for $16. If a visitor buys one pin and one tote bag from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $27 + $16 = $43\nTotal cost = 5 × $43 = $215\n#### 215", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Lakeside Shopping Plaza has 6 stores on the ground floor. Every store sells a sticker for $24 and a postcard for $17. If a customer buys one sticker and one postcard from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $24 + $17 = $41\nTotal cost = 6 × $41 = $246\n#### 246", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Sunrise Shopping Plaza has 6 stores on the ground floor. Every store sells a pen for $24 and a postcard for $28. If a customer buys one pen and one postcard from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $24 + $28 = $52\nTotal cost = 6 × $52 = $312\n#### 312", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Old Town Shopping Plaza has 3 stores on the ground floor. Each store sells a postcard for $14 and a sticker for $10. If a visitor buys one postcard and one sticker from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $14 + $10 = $24\nTotal cost = 3 × $24 = $72\n#### 72", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Hilltop Shopping Plaza has 3 stores on the ground floor. Each store sells a pen for $4 and a cap for $18. If a visitor buys one pen and one cap from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $4 + $18 = $22\nTotal cost = 3 × $22 = $66\n#### 66", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Hilltop Shopping Plaza has 7 stores on the ground floor. Every store sells a scarf for $20 and a sticker for $9. If a customer buys one scarf and one sticker from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $20 + $9 = $29\nTotal cost = 7 × $29 = $203\n#### 203", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Pinegrove Shopping Plaza has 4 stores on the ground floor. Each store sells a tote bag for $17 and a postcard for $23. If a visitor buys one tote bag and one postcard from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $17 + $23 = $40\nTotal cost = 4 × $40 = $160\n#### 160", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Pinegrove Shopping Plaza has 6 stores on the ground floor. Every store sells a coaster for $26 and a cap for $18. If a customer buys one coaster and one cap from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $26 + $18 = $44\nTotal cost = 6 × $44 = $264\n#### 264", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Cedar Point Shopping Plaza has 3 stores on the ground floor. Every store sells a tote bag for $19 and a pin for $16. If a customer buys one tote bag and one pin from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $19 + $16 = $35\nTotal cost = 3 × $35 = $105\n#### 105", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Sunrise Shopping Plaza has 4 stores on the ground floor. Every store sells a tote bag for $5 and a sticker for $10. If a customer buys one tote bag and one sticker from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $5 + $10 = $15\nTotal cost = 4 × $15 = $60\n#### 60", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Sunrise Shopping Plaza has 3 stores on the ground floor. Every store sells a pen for $19 and a bookmark for $12. If a customer buys one pen and one bookmark from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $19 + $12 = $31\nTotal cost = 3 × $31 = $93\n#### 93", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Sunrise Shopping Plaza has 3 stores on the ground floor. Each store sells a pin for $7 and a coaster for $6. If a visitor buys one pin and one coaster from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $7 + $6 = $13\nTotal cost = 3 × $13 = $39\n#### 39", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Old Town Shopping Plaza has 6 stores on the ground floor. Every store sells a bookmark for $23 and a sticker for $16. If a customer buys one bookmark and one sticker from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $23 + $16 = $39\nTotal cost = 6 × $39 = $234\n#### 234", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Riverbend Shopping Plaza has 7 stores on the ground floor. Every store sells a scarf for $13 and a pin for $26. If a customer buys one scarf and one pin from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $13 + $26 = $39\nTotal cost = 7 × $39 = $273\n#### 273", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Sunrise Shopping Plaza has 3 stores on the ground floor. Every store sells a scarf for $17 and a cap for $28. If a customer buys one scarf and one cap from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $17 + $28 = $45\nTotal cost = 3 × $45 = $135\n#### 135", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Lakeside Shopping Plaza has 8 stores on the ground floor. Every store sells a keychain for $22 and a scarf for $21. If a customer buys one keychain and one scarf from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $22 + $21 = $43\nTotal cost = 8 × $43 = $344\n#### 344", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Lakeside Shopping Plaza has 6 stores on the ground floor. Each store sells a pen for $24 and a cap for $21. If a visitor buys one pen and one cap from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $24 + $21 = $45\nTotal cost = 6 × $45 = $270\n#### 270", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Cedar Point Shopping Plaza has 8 stores on the ground floor. Each store sells a bookmark for $10 and a coaster for $27. If a visitor buys one bookmark and one coaster from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $10 + $27 = $37\nTotal cost = 8 × $37 = $296\n#### 296", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Pinegrove Shopping Plaza has 3 stores on the ground floor. Each store sells a postcard for $24 and a scarf for $6. If a visitor buys one postcard and one scarf from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $24 + $6 = $30\nTotal cost = 3 × $30 = $90\n#### 90", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Riverbend Shopping Plaza has 8 stores on the ground floor. Each store sells a cap for $29 and a bookmark for $18. If a visitor buys one cap and one bookmark from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $29 + $18 = $47\nTotal cost = 8 × $47 = $376\n#### 376", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Maplewood Shopping Plaza has 6 stores on the ground floor. Each store sells a postcard for $26 and a scarf for $27. If a visitor buys one postcard and one scarf from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $26 + $27 = $53\nTotal cost = 6 × $53 = $318\n#### 318", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Maplewood Shopping Plaza has 3 stores on the ground floor. Each store sells a coaster for $18 and a postcard for $25. If a visitor buys one coaster and one postcard from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $18 + $25 = $43\nTotal cost = 3 × $43 = $129\n#### 129", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Lakeside Shopping Plaza has 3 stores on the ground floor. Every store sells a cap for $6 and a postcard for $12. If a customer buys one cap and one postcard from every store, what is the total cost?\nAnswer:", "response": " Cost per store = $6 + $12 = $18\nTotal cost = 3 × $18 = $54\n#### 54", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: The Maplewood Shopping Plaza has 8 stores on the ground floor. Each store sells a sticker for $25 and a postcard for $9. If a visitor buys one sticker and one postcard from each store, how much will they spend in total?\nAnswer:", "response": " Cost per store = $25 + $9 = $34\nTotal cost = 8 × $34 = $272\n#### 272", "source": "tp_wordproblem", "tid": "0b218d7eca", "level": "general"}
+{"prompt": "Question: A spherical cell has a surface tension of 0.020 N/m and a radius of 8.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 8.0 μm = 8.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.020 N/m) / (8.0 × 10⁻⁶ m)\nΔP = 0.040 N/m / (8.0 × 10⁻⁶ m)\nΔP = 5000 Pa\n#### 5000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microdroplet with a radius of 0.5 μm has a surface tension of 0.035 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.035 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.070 N/m / (0.5 × 10⁻⁶ m)\nΔP = 140000 Pa\n#### 140000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microdroplet has radius 2.0 μm and surface tension 0.025 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 2.0 μm = 2.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.025 N/m) / (2.0 × 10⁻⁶ m)\nΔP = 0.050 N/m / (2.0 × 10⁻⁶ m)\nΔP = 25000 Pa\n#### 25000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule has radius 10.0 μm and surface tension 0.090 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.090 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.180 N/m / (10.0 × 10⁻⁶ m)\nΔP = 18000 Pa\n#### 18000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical microcapsule of radius 8.0 μm and surface tension 0.020 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 8.0 μm = 8.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.020 N/m) / (8.0 × 10⁻⁶ m)\nΔP = 0.040 N/m / (8.0 × 10⁻⁶ m)\nΔP = 5000 Pa\n#### 5000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical cell has a surface tension of 0.065 N/m and a radius of 10.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.065 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.130 N/m / (10.0 × 10⁻⁶ m)\nΔP = 13000 Pa\n#### 13000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical microdroplet of radius 5.0 μm and surface tension 0.010 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 5.0 μm = 5.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.010 N/m) / (5.0 × 10⁻⁶ m)\nΔP = 0.020 N/m / (5.0 × 10⁻⁶ m)\nΔP = 4000 Pa\n#### 4000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical cell of radius 0.5 μm and surface tension 0.100 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.100 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.200 N/m / (0.5 × 10⁻⁶ m)\nΔP = 400000 Pa\n#### 400000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet with a radius of 10.0 μm has a surface tension of 0.055 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.055 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.110 N/m / (10.0 × 10⁻⁶ m)\nΔP = 11000 Pa\n#### 11000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet has a surface tension of 0.005 N/m and a radius of 2.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 2.0 μm = 2.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.005 N/m) / (2.0 × 10⁻⁶ m)\nΔP = 0.010 N/m / (2.0 × 10⁻⁶ m)\nΔP = 5000 Pa\n#### 5000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microdroplet with a radius of 2.5 μm has a surface tension of 0.090 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 2.5 μm = 2.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.090 N/m) / (2.5 × 10⁻⁶ m)\nΔP = 0.180 N/m / (2.5 × 10⁻⁶ m)\nΔP = 72000 Pa\n#### 72000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microdroplet with a radius of 5.0 μm has a surface tension of 0.045 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 5.0 μm = 5.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.045 N/m) / (5.0 × 10⁻⁶ m)\nΔP = 0.090 N/m / (5.0 × 10⁻⁶ m)\nΔP = 18000 Pa\n#### 18000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical microdroplet of radius 5.0 μm and surface tension 0.030 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 5.0 μm = 5.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.030 N/m) / (5.0 × 10⁻⁶ m)\nΔP = 0.060 N/m / (5.0 × 10⁻⁶ m)\nΔP = 12000 Pa\n#### 12000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical droplet of radius 10.0 μm and surface tension 0.045 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.045 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.090 N/m / (10.0 × 10⁻⁶ m)\nΔP = 9000 Pa\n#### 9000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet has radius 0.5 μm and surface tension 0.040 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.040 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.080 N/m / (0.5 × 10⁻⁶ m)\nΔP = 160000 Pa\n#### 160000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microdroplet has a surface tension of 0.050 N/m and a radius of 1.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 1.0 μm = 1.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.050 N/m) / (1.0 × 10⁻⁶ m)\nΔP = 0.100 N/m / (1.0 × 10⁻⁶ m)\nΔP = 100000 Pa\n#### 100000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule has radius 5.0 μm and surface tension 0.065 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 5.0 μm = 5.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.065 N/m) / (5.0 × 10⁻⁶ m)\nΔP = 0.130 N/m / (5.0 × 10⁻⁶ m)\nΔP = 26000 Pa\n#### 26000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical droplet of radius 10.0 μm and surface tension 0.070 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.070 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.140 N/m / (10.0 × 10⁻⁶ m)\nΔP = 14000 Pa\n#### 14000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule with a radius of 8.0 μm has a surface tension of 0.065 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 8.0 μm = 8.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.065 N/m) / (8.0 × 10⁻⁶ m)\nΔP = 0.130 N/m / (8.0 × 10⁻⁶ m)\nΔP = 16250 Pa\n#### 16250 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical droplet of radius 0.5 μm and surface tension 0.055 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.055 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.110 N/m / (0.5 × 10⁻⁶ m)\nΔP = 220000 Pa\n#### 220000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical cell of radius 10.0 μm and surface tension 0.065 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.065 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.130 N/m / (10.0 × 10⁻⁶ m)\nΔP = 13000 Pa\n#### 13000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical cell of radius 2.0 μm and surface tension 0.095 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 2.0 μm = 2.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.095 N/m) / (2.0 × 10⁻⁶ m)\nΔP = 0.190 N/m / (2.0 × 10⁻⁶ m)\nΔP = 95000 Pa\n#### 95000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet has radius 2.0 μm and surface tension 0.070 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 2.0 μm = 2.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.070 N/m) / (2.0 × 10⁻⁶ m)\nΔP = 0.140 N/m / (2.0 × 10⁻⁶ m)\nΔP = 70000 Pa\n#### 70000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule has a surface tension of 0.075 N/m and a radius of 10.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.075 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.150 N/m / (10.0 × 10⁻⁶ m)\nΔP = 15000 Pa\n#### 15000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical cell has a surface tension of 0.080 N/m and a radius of 0.5 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.080 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.160 N/m / (0.5 × 10⁻⁶ m)\nΔP = 320000 Pa\n#### 320000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule with a radius of 2.5 μm has a surface tension of 0.010 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 2.5 μm = 2.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.010 N/m) / (2.5 × 10⁻⁶ m)\nΔP = 0.020 N/m / (2.5 × 10⁻⁶ m)\nΔP = 8000 Pa\n#### 8000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microdroplet has radius 0.5 μm and surface tension 0.080 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.080 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.160 N/m / (0.5 × 10⁻⁶ m)\nΔP = 320000 Pa\n#### 320000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microdroplet with a radius of 0.5 μm has a surface tension of 0.020 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.020 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.040 N/m / (0.5 × 10⁻⁶ m)\nΔP = 80000 Pa\n#### 80000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical cell has a surface tension of 0.100 N/m and a radius of 10.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.100 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.200 N/m / (10.0 × 10⁻⁶ m)\nΔP = 20000 Pa\n#### 20000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical microdroplet of radius 4.0 μm and surface tension 0.100 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 4.0 μm = 4.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.100 N/m) / (4.0 × 10⁻⁶ m)\nΔP = 0.200 N/m / (4.0 × 10⁻⁶ m)\nΔP = 50000 Pa\n#### 50000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: For a spherical microcapsule of radius 0.5 μm and surface tension 0.070 N/m, use ΔP = 2γ/r to find the inside-outside pressure difference in Pa.\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.070 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.140 N/m / (0.5 × 10⁻⁶ m)\nΔP = 280000 Pa\n#### 280000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical cell has radius 0.5 μm and surface tension 0.010 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.010 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.020 N/m / (0.5 × 10⁻⁶ m)\nΔP = 40000 Pa\n#### 40000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule has a surface tension of 0.090 N/m and a radius of 8.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 8.0 μm = 8.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.090 N/m) / (8.0 × 10⁻⁶ m)\nΔP = 0.180 N/m / (8.0 × 10⁻⁶ m)\nΔP = 22500 Pa\n#### 22500 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet has a surface tension of 0.045 N/m and a radius of 2.5 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 2.5 μm = 2.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.045 N/m) / (2.5 × 10⁻⁶ m)\nΔP = 0.090 N/m / (2.5 × 10⁻⁶ m)\nΔP = 36000 Pa\n#### 36000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet with a radius of 0.5 μm has a surface tension of 0.015 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 0.5 μm = 0.5 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.015 N/m) / (0.5 × 10⁻⁶ m)\nΔP = 0.030 N/m / (0.5 × 10⁻⁶ m)\nΔP = 60000 Pa\n#### 60000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule has radius 10.0 μm and surface tension 0.025 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 10.0 μm = 10.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.025 N/m) / (10.0 × 10⁻⁶ m)\nΔP = 0.050 N/m / (10.0 × 10⁻⁶ m)\nΔP = 5000 Pa\n#### 5000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet with a radius of 8.0 μm has a surface tension of 0.015 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 8.0 μm = 8.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.015 N/m) / (8.0 × 10⁻⁶ m)\nΔP = 0.030 N/m / (8.0 × 10⁻⁶ m)\nΔP = 3750 Pa\n#### 3750 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet has a surface tension of 0.075 N/m and a radius of 1.0 μm. If ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 1.0 μm = 1.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.075 N/m) / (1.0 × 10⁻⁶ m)\nΔP = 0.150 N/m / (1.0 × 10⁻⁶ m)\nΔP = 150000 Pa\n#### 150000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical microcapsule has radius 1.0 μm and surface tension 0.015 N/m. Assuming ΔP = 2γ/r holds exactly, what is the pressure difference in Pa across the surface?\nAnswer:", "response": " r = 1.0 μm = 1.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.015 N/m) / (1.0 × 10⁻⁶ m)\nΔP = 0.030 N/m / (1.0 × 10⁻⁶ m)\nΔP = 30000 Pa\n#### 30000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A spherical droplet with a radius of 2.0 μm has a surface tension of 0.035 N/m. If the Laplace pressure difference ΔP = 2γ/r applies strictly, calculate the pressure difference in Pa between the inside and outside.\nAnswer:", "response": " r = 2.0 μm = 2.0 × 10⁻⁶ m\nΔP = 2γ / r\nΔP = 2(0.035 N/m) / (2.0 × 10⁻⁶ m)\nΔP = 0.070 N/m / (2.0 × 10⁻⁶ m)\nΔP = 35000 Pa\n#### 35000 Pa", "source": "tp_science_calc", "tid": "03b1888cdc", "level": "general"}
+{"prompt": "Question: A code uses a string of 6 characters drawn independently from the first 13 lowercase letters. Find the probability that the fourth character is 'c' and the third character is 'i'.\nAnswer:", "response": " The probability that the fourth character is 'c' is 1/13.\nThe probability that the third character is 'i' is 1/13.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/13) * (1/13) = 1/169.\n#### 1/169", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 3-character code, each character selected independently from the first 16 lowercase letters. What is the probability that the first character is 'n' and the second character is 'l'?\nAnswer:", "response": " The probability that the first character is 'n' is 1/16.\nThe probability that the second character is 'l' is 1/16.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/16) * (1/16) = 1/256.\n#### 1/256", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 6-character code, each character selected independently from the first 17 lowercase letters. What is the probability that the second character is 'e' and the sixth character is 'c'?\nAnswer:", "response": " The probability that the second character is 'e' is 1/17.\nThe probability that the sixth character is 'c' is 1/17.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/17) * (1/17) = 1/289.\n#### 1/289", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 6 characters, where each character is chosen independently from the first 21 lowercase letters. What is the probability that the second character is 'o' and the fourth character is 'm'?\nAnswer:", "response": " The probability that the second character is 'o' is 1/21.\nThe probability that the fourth character is 'm' is 1/21.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/21) * (1/21) = 1/441.\n#### 1/441", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 6-character code, each character selected independently from the first 13 lowercase letters. What is the probability that the fifth character is 'k' and the sixth character is 'i'?\nAnswer:", "response": " The probability that the fifth character is 'k' is 1/13.\nThe probability that the sixth character is 'i' is 1/13.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/13) * (1/13) = 1/169.\n#### 1/169", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 6 characters drawn independently from the first 22 lowercase letters. Find the probability that the fourth character is 's' and the fifth character is 'u'.\nAnswer:", "response": " The probability that the fourth character is 's' is 1/22.\nThe probability that the fifth character is 'u' is 1/22.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/22) * (1/22) = 1/484.\n#### 1/484", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 5-character code, each character selected independently from the first 11 lowercase letters. What is the probability that the second character is 'j' and the fourth character is 'f'?\nAnswer:", "response": " The probability that the second character is 'j' is 1/11.\nThe probability that the fourth character is 'f' is 1/11.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/11) * (1/11) = 1/121.\n#### 1/121", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 3 characters, where each character is chosen independently from the first 15 lowercase letters. What is the probability that the second character is 'a' and the first character is 'k'?\nAnswer:", "response": " The probability that the second character is 'a' is 1/15.\nThe probability that the first character is 'k' is 1/15.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/15) * (1/15) = 1/225.\n#### 1/225", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 6 characters, where each character is chosen independently from the first 20 lowercase letters. What is the probability that the first character is 'e' and the sixth character is 's'?\nAnswer:", "response": " The probability that the first character is 'e' is 1/20.\nThe probability that the sixth character is 's' is 1/20.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/20) * (1/20) = 1/400.\n#### 1/400", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 4-character code, each character selected independently from the first 10 lowercase letters. What is the probability that the first character is 'h' and the fourth character is 'c'?\nAnswer:", "response": " The probability that the first character is 'h' is 1/10.\nThe probability that the fourth character is 'c' is 1/10.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/10) * (1/10) = 1/100.\n#### 1/100", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 4-character code, each character selected independently from the first 12 lowercase letters. What is the probability that the fourth character is 'c' and the second character is 'g'?\nAnswer:", "response": " The probability that the fourth character is 'c' is 1/12.\nThe probability that the second character is 'g' is 1/12.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/12) * (1/12) = 1/144.\n#### 1/144", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 5-character code, each character selected independently from the first 18 lowercase letters. What is the probability that the first character is 'o' and the fourth character is 'm'?\nAnswer:", "response": " The probability that the first character is 'o' is 1/18.\nThe probability that the fourth character is 'm' is 1/18.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/18) * (1/18) = 1/324.\n#### 1/324", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 5 characters drawn independently from the first 15 lowercase letters. Find the probability that the second character is 'a' and the fourth character is 'f'.\nAnswer:", "response": " The probability that the second character is 'a' is 1/15.\nThe probability that the fourth character is 'f' is 1/15.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/15) * (1/15) = 1/225.\n#### 1/225", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 6 characters, where each character is chosen independently from the first 18 lowercase letters. What is the probability that the second character is 'a' and the sixth character is 'm'?\nAnswer:", "response": " The probability that the second character is 'a' is 1/18.\nThe probability that the sixth character is 'm' is 1/18.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/18) * (1/18) = 1/324.\n#### 1/324", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 3-character code, each character selected independently from the first 17 lowercase letters. What is the probability that the second character is 'f' and the first character is 'o'?\nAnswer:", "response": " The probability that the second character is 'f' is 1/17.\nThe probability that the first character is 'o' is 1/17.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/17) * (1/17) = 1/289.\n#### 1/289", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 3 characters drawn independently from the first 19 lowercase letters. Find the probability that the second character is 's' and the third character is 'j'.\nAnswer:", "response": " The probability that the second character is 's' is 1/19.\nThe probability that the third character is 'j' is 1/19.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/19) * (1/19) = 1/361.\n#### 1/361", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 5-character code, each character selected independently from the first 22 lowercase letters. What is the probability that the third character is 'f' and the fifth character is 'u'?\nAnswer:", "response": " The probability that the third character is 'f' is 1/22.\nThe probability that the fifth character is 'u' is 1/22.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/22) * (1/22) = 1/484.\n#### 1/484", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 6 characters drawn independently from the first 23 lowercase letters. Find the probability that the second character is 'd' and the first character is 'j'.\nAnswer:", "response": " The probability that the second character is 'd' is 1/23.\nThe probability that the first character is 'j' is 1/23.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/23) * (1/23) = 1/529.\n#### 1/529", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 6 characters, where each character is chosen independently from the first 22 lowercase letters. What is the probability that the first character is 's' and the sixth character is 'k'?\nAnswer:", "response": " The probability that the first character is 's' is 1/22.\nThe probability that the sixth character is 'k' is 1/22.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/22) * (1/22) = 1/484.\n#### 1/484", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 3-character code, each character selected independently from the first 20 lowercase letters. What is the probability that the first character is 'o' and the third character is 't'?\nAnswer:", "response": " The probability that the first character is 'o' is 1/20.\nThe probability that the third character is 't' is 1/20.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/20) * (1/20) = 1/400.\n#### 1/400", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 3-character code, each character selected independently from the first 10 lowercase letters. What is the probability that the second character is 'e' and the third character is 'c'?\nAnswer:", "response": " The probability that the second character is 'e' is 1/10.\nThe probability that the third character is 'c' is 1/10.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/10) * (1/10) = 1/100.\n#### 1/100", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 4 characters drawn independently from the first 17 lowercase letters. Find the probability that the third character is 'n' and the fourth character is 'n'.\nAnswer:", "response": " The probability that the third character is 'n' is 1/17.\nThe probability that the fourth character is 'n' is 1/17.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/17) * (1/17) = 1/289.\n#### 1/289", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 4-character code, each character selected independently from the first 23 lowercase letters. What is the probability that the first character is 'r' and the third character is 'v'?\nAnswer:", "response": " The probability that the first character is 'r' is 1/23.\nThe probability that the third character is 'v' is 1/23.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/23) * (1/23) = 1/529.\n#### 1/529", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 6 characters drawn independently from the first 24 lowercase letters. Find the probability that the fourth character is 'a' and the second character is 'u'.\nAnswer:", "response": " The probability that the fourth character is 'a' is 1/24.\nThe probability that the second character is 'u' is 1/24.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/24) * (1/24) = 1/576.\n#### 1/576", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 3 characters drawn independently from the first 25 lowercase letters. Find the probability that the second character is 'q' and the third character is 'd'.\nAnswer:", "response": " The probability that the second character is 'q' is 1/25.\nThe probability that the third character is 'd' is 1/25.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/25) * (1/25) = 1/625.\n#### 1/625", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 4-character code, each character selected independently from the first 11 lowercase letters. What is the probability that the first character is 'd' and the fourth character is 'k'?\nAnswer:", "response": " The probability that the first character is 'd' is 1/11.\nThe probability that the fourth character is 'k' is 1/11.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/11) * (1/11) = 1/121.\n#### 1/121", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 3 characters drawn independently from the first 25 lowercase letters. Find the probability that the second character is 'h' and the third character is 's'.\nAnswer:", "response": " The probability that the second character is 'h' is 1/25.\nThe probability that the third character is 's' is 1/25.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/25) * (1/25) = 1/625.\n#### 1/625", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 3-character code, each character selected independently from the first 13 lowercase letters. What is the probability that the first character is 'j' and the second character is 'm'?\nAnswer:", "response": " The probability that the first character is 'j' is 1/13.\nThe probability that the second character is 'm' is 1/13.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/13) * (1/13) = 1/169.\n#### 1/169", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 6 characters drawn independently from the first 22 lowercase letters. Find the probability that the third character is 'g' and the sixth character is 'o'.\nAnswer:", "response": " The probability that the third character is 'g' is 1/22.\nThe probability that the sixth character is 'o' is 1/22.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/22) * (1/22) = 1/484.\n#### 1/484", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 5 characters drawn independently from the first 26 lowercase letters. Find the probability that the second character is 'i' and the fourth character is 'y'.\nAnswer:", "response": " The probability that the second character is 'i' is 1/26.\nThe probability that the fourth character is 'y' is 1/26.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/26) * (1/26) = 1/676.\n#### 1/676", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 3-character code, each character selected independently from the first 23 lowercase letters. What is the probability that the first character is 'g' and the third character is 'o'?\nAnswer:", "response": " The probability that the first character is 'g' is 1/23.\nThe probability that the third character is 'o' is 1/23.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/23) * (1/23) = 1/529.\n#### 1/529", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 3 characters drawn independently from the first 11 lowercase letters. Find the probability that the second character is 'f' and the third character is 'k'.\nAnswer:", "response": " The probability that the second character is 'f' is 1/11.\nThe probability that the third character is 'k' is 1/11.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/11) * (1/11) = 1/121.\n#### 1/121", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 6 characters, where each character is chosen independently from the first 23 lowercase letters. What is the probability that the second character is 'j' and the third character is 'w'?\nAnswer:", "response": " The probability that the second character is 'j' is 1/23.\nThe probability that the third character is 'w' is 1/23.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/23) * (1/23) = 1/529.\n#### 1/529", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 4 characters drawn independently from the first 18 lowercase letters. Find the probability that the first character is 'h' and the fourth character is 'a'.\nAnswer:", "response": " The probability that the first character is 'h' is 1/18.\nThe probability that the fourth character is 'a' is 1/18.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/18) * (1/18) = 1/324.\n#### 1/324", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 3 characters, where each character is chosen independently from the first 12 lowercase letters. What is the probability that the first character is 'd' and the third character is 'g'?\nAnswer:", "response": " The probability that the first character is 'd' is 1/12.\nThe probability that the third character is 'g' is 1/12.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/12) * (1/12) = 1/144.\n#### 1/144", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A lock uses a 6-character code, each character selected independently from the first 14 lowercase letters. What is the probability that the third character is 'g' and the second character is 'a'?\nAnswer:", "response": " The probability that the third character is 'g' is 1/14.\nThe probability that the second character is 'a' is 1/14.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/14) * (1/14) = 1/196.\n#### 1/196", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 6 characters, where each character is chosen independently from the first 12 lowercase letters. What is the probability that the sixth character is 'f' and the first character is 'h'?\nAnswer:", "response": " The probability that the sixth character is 'f' is 1/12.\nThe probability that the first character is 'h' is 1/12.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/12) * (1/12) = 1/144.\n#### 1/144", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 3 characters drawn independently from the first 24 lowercase letters. Find the probability that the second character is 'b' and the third character is 'a'.\nAnswer:", "response": " The probability that the second character is 'b' is 1/24.\nThe probability that the third character is 'a' is 1/24.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/24) * (1/24) = 1/576.\n#### 1/576", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A code uses a string of 3 characters drawn independently from the first 12 lowercase letters. Find the probability that the second character is 'h' and the first character is 'a'.\nAnswer:", "response": " The probability that the second character is 'h' is 1/12.\nThe probability that the first character is 'a' is 1/12.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/12) * (1/12) = 1/144.\n#### 1/144", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}
+{"prompt": "Question: A password system requires a sequence of 4 characters, where each character is chosen independently from the first 16 lowercase letters. What is the probability that the first character is 'm' and the fourth character is 'd'?\nAnswer:", "response": " The probability that the first character is 'm' is 1/16.\nThe probability that the fourth character is 'd' is 1/16.\nSince the characters are chosen independently, the joint probability is the product of the individual probabilities.\n(1/16) * (1/16) = 1/256.\n#### 1/256", "source": "tp_probability", "tid": "c00759a0e6", "level": "general"}