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A value of 130 is decreased by 25%. What is the new value? | Change = 25% of 130 = 32.5. New value = 130 - 32.5 = 97.5. | 97.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 90 in the ratio 5:5. | Total parts = 5 + 5 = 10. Each part = 90/10 = 9. Shares = 45 and 45. | 45 and 45 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 28 hours to minutes. | 1 hours = 60 minutes, so 28 hours = 28 × 60 = 1680 minutes. | 1680 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 75% of 200? | 75% of 200 = (75/100) × 200 = 150. | 150 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 73, 86, 89, 89, 69. | Sum = 406, count = 5. Mean = 406/5 = 81.2. | 81.2 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 31 km to m. | 1 km = 1000 m, so 31 km = 31 × 1000 = 31000 m. | 31000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 29 cm long and 29 cm wide. Find its area and perimeter. | Area = length × width = 29 × 29 = 841 cm². Perimeter = 2 × (29 + 29) = 116 cm. | area 841 cm^2, perimeter 116 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 11, 44, 176, 704, ... ? | The pattern is geometric (multiplying by 4), so the next term is 2816. | 2816 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 15 + 5 × 9 using the order of operations. | Multiply first: 5 × 9 = 45. Then add: 15 + 45 = 60. | 60 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 6/9 + 1/9. Give the answer in simplest form. | Common denominator is 9. 6/9 = 6/9, 1/9 = 1/9. Sum = 7/9 = 7/9. | 7/9 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x + 15 = 3. | Subtract +15 from both sides: 2x = -12. Divide by 2: x = -6. | -6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Omar buys 7 pens at 34 rupees each. How much does Omar pay in total? | Total = 7 × 34 = 238 rupees. | 238 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 9x + 3 = 12. | Subtract +3 from both sides: 9x = 9. Divide by 9: x = 1. | 1 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 33 cm long and 31 cm wide. Find its area and perimeter. | Area = length × width = 33 × 31 = 1023 cm². Perimeter = 2 × (33 + 31) = 128 cm. | area 1023 cm^2, perimeter 128 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 60 in the ratio 1:3. | Total parts = 1 + 3 = 4. Each part = 60/4 = 15. Shares = 15 and 45. | 15 and 45 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 30, 81, 3, 28, 17, 83. | Sum = 242, count = 6. Mean = 242/6 = 40.33. | 40.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 11 and 50. | GCD(11, 50) = 1. LCM = (11 × 50) / GCD = 550/1 = 550. | GCD 1, LCM 550 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 5 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 5² = 78.5 cm². Circumference = 2πr = 2 × 3.14 × 5 = 31.4 cm. | area 78.5 cm^2, circumference 31.4 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Omar buys 3 candies at 13 rupees each. How much does Omar pay in total? | Total = 3 × 13 = 39 rupees. | 39 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 5% of 240? | 5% of 240 = (5/100) × 240 = 12. | 12 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 260? | 60% of 260 = (60/100) × 260 = 156. | 156 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 34 and 7. | GCD(34, 7) = 1. LCM = (34 × 7) / GCD = 238/1 = 238. | GCD 1, LCM 238 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 40% of 310? | 40% of 310 = (40/100) × 310 = 124. | 124 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 15% of 60? | 15% of 60 = (15/100) × 60 = 9. | 9 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 44 and 38. | GCD(44, 38) = 2. LCM = (44 × 38) / GCD = 1672/2 = 836. | GCD 2, LCM 836 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 2 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 2² = 12.56 cm². Circumference = 2πr = 2 × 3.14 × 2 = 12.56 cm. | area 12.56 cm^2, circumference 12.56 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Ravi buys 11 candies at 3 rupees each. How much does Ravi pay in total? | Total = 11 × 3 = 33 rupees. | 33 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 360 + 119. | 360 + 119 = 479. | 479 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x + 0 = -2. | Subtract +0 from both sides: 2x = -2. Divide by 2: x = -1. | -1 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 2 + 6 × 9 using the order of operations. | Multiply first: 6 × 9 = 54. Then add: 2 + 54 = 56. | 56 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 24/8. | gcd(24, 8) = 8. Dividing gives 3. | 3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 9/3 + 5/9. Give the answer in simplest form. | Common denominator is 9. 9/3 = 27/9, 5/9 = 5/9. Sum = 32/9 = 32/9. | 32/9 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 4/2 + 9/6. Give the answer in simplest form. | Common denominator is 6. 4/2 = 12/6, 9/6 = 9/6. Sum = 21/6 = 7/2. | 7/2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 12 hours to minutes. | 1 hours = 60 minutes, so 12 hours = 12 × 60 = 720 minutes. | 720 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 280 is increased by 10%. What is the new value? | Change = 10% of 280 = 28. New value = 280 + 28 = 308. | 308 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 9x + 5 = -22. | Subtract +5 from both sides: 9x = -27. Divide by 9: x = -3. | -3 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 15 pens at 35 rupees each. How much does John pay in total? | Total = 15 × 35 = 525 rupees. | 525 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 3x + 14 = 20. | Subtract +14 from both sides: 3x = 6. Divide by 3: x = 2. | 2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sam buys 13 candies at 14 rupees each. How much does Sam pay in total? | Total = 13 × 14 = 182 rupees. | 182 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 54/48. | gcd(54, 48) = 6. Dividing gives 9/8. | 9/8 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 870 - 607. | 870 - 607 = 263. | 263 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 20 * 9. | 20 * 9 = 180. | 180 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 1/8 + 4/1. Give the answer in simplest form. | Common denominator is 8. 1/8 = 1/8, 4/1 = 32/8. Sum = 33/8 = 33/8. | 33/8 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 8 raised to the power 4 (8^4). | 8^4 = 8 × 8 × 8 × 8 = 4096. | 4096 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 170 is increased by 10%. What is the new value? | Change = 10% of 170 = 17. New value = 170 + 17 = 187. | 187 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Maria buys 11 pens at 44 rupees each. How much does Maria pay in total? | Total = 11 × 44 = 484 rupees. | 484 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 51 km/h for 4 hours. How far does it go? | Distance = speed × time = 51 × 4 = 204 km. | 204 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 13 + 18 × 4 using the order of operations. | Multiply first: 18 × 4 = 72. Then add: 13 + 72 = 85. | 85 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 25% of 260? | 25% of 260 = (25/100) × 260 = 65. | 65 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 8 = 8. | Subtract -8 from both sides: 2x = 16. Divide by 2: x = 8. | 8 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x - 8 = -62. | Subtract -8 from both sides: 6x = -54. Divide by 6: x = -9. | -9 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 58 km/h for 7 hours. How far does it go? | Distance = speed × time = 58 × 7 = 406 km. | 406 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 2 raised to the power 3 (2^3). | 2^3 = 2 × 2 × 2 = 8. | 8 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 54 and 33. | GCD(54, 33) = 3. LCM = (54 × 33) / GCD = 1782/3 = 594. | GCD 3, LCM 594 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 24/24. | gcd(24, 24) = 24. Dividing gives 1. | 1 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 58 and 16. | GCD(58, 16) = 2. LCM = (58 × 16) / GCD = 928/2 = 464. | GCD 2, LCM 464 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sara buys 13 mangoes at 34 rupees each. How much does Sara pay in total? | Total = 13 × 34 = 442 rupees. | 442 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 25% of 90? | 25% of 90 = (25/100) × 90 = 22.5. | 22.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 75% of 390? | 75% of 390 = (75/100) × 390 = 292.5. | 292.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 17 tickets at 5 rupees each. How much does John pay in total? | Total = 17 × 5 = 85 rupees. | 85 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 38 cm long and 7 cm wide. Find its area and perimeter. | Area = length × width = 38 × 7 = 266 cm². Perimeter = 2 × (38 + 7) = 90 cm. | area 266 cm^2, perimeter 90 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 144 in the ratio 1:3. | Total parts = 1 + 3 = 4. Each part = 144/4 = 36. Shares = 36 and 108. | 36 and 108 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 190 is decreased by 10%. What is the new value? | Change = 10% of 190 = 19. New value = 190 - 19 = 171. | 171 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 45 in the ratio 5:4. | Total parts = 5 + 4 = 9. Each part = 45/9 = 5. Shares = 25 and 20. | 25 and 20 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 2 kg to g. | 1 kg = 1000 g, so 2 kg = 2 × 1000 = 2000 g. | 2000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 280? | 60% of 280 = (60/100) × 280 = 168. | 168 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 94 * 68. | 94 * 68 = 6392. | 6392 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 4x + 4 = 12. | Subtract +4 from both sides: 4x = 8. Divide by 4: x = 2. | 2 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 5 + 15 × 12 using the order of operations. | Multiply first: 15 × 12 = 180. Then add: 5 + 180 = 185. | 185 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 190 is decreased by 20%. What is the new value? | Change = 20% of 190 = 38. New value = 190 - 38 = 152. | 152 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 49 km to m. | 1 km = 1000 m, so 49 km = 49 × 1000 = 49000 m. | 49000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 20 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 20² = 1256.0 cm². Circumference = 2πr = 2 × 3.14 × 20 = 125.6 cm. | area 1256.0 cm^2, circumference 125.6 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 12, 36, 108, 324, ... ? | The pattern is geometric (multiplying by 3), so the next term is 972. | 972 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 5% of 380? | 5% of 380 = (5/100) × 380 = 19. | 19 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 2 + 16 × 14 using the order of operations. | Multiply first: 16 × 14 = 224. Then add: 2 + 224 = 226. | 226 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 37, 59, 86, 31, 94, 74. | Sum = 381, count = 6. Mean = 381/6 = 63.5. | 63.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 64/24. | gcd(64, 24) = 8. Dividing gives 8/3. | 8/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 44, 39, 17, 30, 19. | Sum = 149, count = 5. Mean = 149/5 = 29.8. | 29.8 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 31 cm long and 3 cm wide. Find its area and perimeter. | Area = length × width = 31 × 3 = 93 cm². Perimeter = 2 × (31 + 3) = 68 cm. | area 93 cm^2, perimeter 68 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 42/18. | gcd(42, 18) = 6. Dividing gives 7/3. | 7/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 48 and 58. | GCD(48, 58) = 2. LCM = (48 × 58) / GCD = 2784/2 = 1392. | GCD 2, LCM 1392 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 250 is increased by 20%. What is the new value? | Change = 20% of 250 = 50. New value = 250 + 50 = 300. | 300 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 16 + 7 × 8 using the order of operations. | Multiply first: 7 × 8 = 56. Then add: 16 + 56 = 72. | 72 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 31 cm long and 36 cm wide. Find its area and perimeter. | Area = length × width = 31 × 36 = 1116 cm². Perimeter = 2 × (31 + 36) = 134 cm. | area 1116 cm^2, perimeter 134 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 6 + 20 × 17 using the order of operations. | Multiply first: 20 × 17 = 340. Then add: 6 + 340 = 346. | 346 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 80, 43, 47, 27, 87, 43. | Sum = 327, count = 6. Mean = 327/6 = 54.5. | 54.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 20% of 320? | 20% of 320 = (20/100) × 320 = 64. | 64 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 37 km/h for 6 hours. How far does it go? | Distance = speed × time = 37 × 6 = 222 km. | 222 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 8/2 + 8/5. Give the answer in simplest form. | Common denominator is 10. 8/2 = 40/10, 8/5 = 16/10. Sum = 56/10 = 28/5. | 28/5 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 99 in the ratio 4:5. | Total parts = 4 + 5 = 9. Each part = 99/9 = 11. Shares = 44 and 55. | 44 and 55 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 10 + 2 × 14 using the order of operations. | Multiply first: 2 × 14 = 28. Then add: 10 + 28 = 38. | 38 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 24 in the ratio 3:1. | Total parts = 3 + 1 = 4. Each part = 24/4 = 6. Shares = 18 and 6. | 18 and 6 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 5 + 2 × 12 using the order of operations. | Multiply first: 2 × 12 = 24. Then add: 5 + 24 = 29. | 29 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 15 + 3 × 7 using the order of operations. | Multiply first: 3 × 7 = 21. Then add: 15 + 21 = 36. | 36 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 78 in the ratio 1:2. | Total parts = 1 + 2 = 3. Each part = 78/3 = 26. Shares = 26 and 52. | 26 and 52 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 63/42. | gcd(63, 42) = 21. Dividing gives 3/2. | 3/2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/5 + 4/6. Give the answer in simplest form. | Common denominator is 30. 5/5 = 30/30, 4/6 = 20/30. Sum = 50/30 = 5/3. | 5/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Neha buys 7 boxes at 42 rupees each. How much does Neha pay in total? | Total = 7 × 42 = 294 rupees. | 294 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 9x + 5 = 59. | Subtract +5 from both sides: 9x = 54. Divide by 9: x = 6. | 6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 2/4. | gcd(2, 4) = 2. Dividing gives 1/2. | 1/2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
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