question stringlengths 17 74 | reasoning stringlengths 12 87 | answer stringlengths 1 42 | topic stringclasses 13
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A value of 380 is decreased by 10%. What is the new value? | Change = 10% of 380 = 38. New value = 380 - 38 = 342. | 342 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 64, 28, 7, 80, 100. | Sum = 279, count = 5. Mean = 279/5 = 55.8. | 55.8 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 9, 18, 36, 72, ... ? | The pattern is geometric (multiplying by 2), so the next term is 144. | 144 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 8/6 + 8/3. Give the answer in simplest form. | Common denominator is 6. 8/6 = 8/6, 8/3 = 16/6. Sum = 24/6 = 4. | 4 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 4/5 + 1/2. Give the answer in simplest form. | Common denominator is 10. 4/5 = 8/10, 1/2 = 5/10. Sum = 13/10 = 13/10. | 13/10 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 3x + 13 = 16. | Subtract +13 from both sides: 3x = 3. Divide by 3: x = 1. | 1 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sara buys 18 chairs at 9 rupees each. How much does Sara pay in total? | Total = 18 × 9 = 162 rupees. | 162 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 75% of 60? | 75% of 60 = (75/100) × 60 = 45. | 45 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 36 cm long and 5 cm wide. Find its area and perimeter. | Area = length × width = 36 × 5 = 180 cm². Perimeter = 2 × (36 + 5) = 82 cm. | area 180 cm^2, perimeter 82 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 17 m to cm. | 1 m = 100 cm, so 17 m = 17 × 100 = 1700 cm. | 1700 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 340 is decreased by 25%. What is the new value? | Change = 25% of 340 = 85. New value = 340 - 85 = 255. | 255 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 18 hours to minutes. | 1 hours = 60 minutes, so 18 hours = 18 × 60 = 1080 minutes. | 1080 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 10% of 210? | 10% of 210 = (10/100) × 210 = 21. | 21 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 260 is increased by 20%. What is the new value? | Change = 20% of 260 = 52. New value = 260 + 52 = 312. | 312 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 6 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 6² = 113.04 cm². Circumference = 2πr = 2 × 3.14 × 6 = 37.68 cm. | area 113.04 cm^2, circumference 37.68 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 11, 20, 29, 38, ... ? | The pattern is arithmetic (adding 9), so the next term is 47. | 47 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 6 + 4 × 14 using the order of operations. | Multiply first: 4 × 14 = 56. Then add: 6 + 56 = 62. | 62 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 2 hours to minutes. | 1 hours = 60 minutes, so 2 hours = 2 × 60 = 120 minutes. | 120 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 3 + 4 × 2 using the order of operations. | Multiply first: 4 × 2 = 8. Then add: 3 + 8 = 11. | 11 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 468 + 935. | 468 + 935 = 1403. | 1403 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 40 km/h for 2 hours. How far does it go? | Distance = speed × time = 40 × 2 = 80 km. | 80 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 49/7. | gcd(49, 7) = 7. Dividing gives 7. | 7 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 48 in the ratio 1:5. | Total parts = 1 + 5 = 6. Each part = 48/6 = 8. Shares = 8 and 40. | 8 and 40 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 6, 24, 96, 384, ... ? | The pattern is geometric (multiplying by 4), so the next term is 1536. | 1536 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 6 + 17 × 20 using the order of operations. | Multiply first: 17 × 20 = 340. Then add: 6 + 340 = 346. | 346 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 45 hours to minutes. | 1 hours = 60 minutes, so 45 hours = 45 × 60 = 2700 minutes. | 2700 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 23 km/h for 8 hours. How far does it go? | Distance = speed × time = 23 × 8 = 184 km. | 184 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 29 cm long and 28 cm wide. Find its area and perimeter. | Area = length × width = 29 × 28 = 812 cm². Perimeter = 2 × (29 + 28) = 114 cm. | area 812 cm^2, perimeter 114 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 25 hours to minutes. | 1 hours = 60 minutes, so 25 hours = 25 × 60 = 1500 minutes. | 1500 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Lily buys 19 apples at 21 rupees each. How much does Lily pay in total? | Total = 19 × 21 = 399 rupees. | 399 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Amit buys 10 chairs at 27 rupees each. How much does Amit pay in total? | Total = 10 × 27 = 270 rupees. | 270 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 85, 62, 79. | Sum = 226, count = 3. Mean = 226/3 = 75.33. | 75.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 12, 81, 99. | Sum = 192, count = 3. Mean = 192/3 = 64. | 64 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x - 8 = -32. | Subtract -8 from both sides: 6x = -24. Divide by 6: x = -4. | -4 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 34 cm long and 35 cm wide. Find its area and perimeter. | Area = length × width = 34 × 35 = 1190 cm². Perimeter = 2 × (34 + 35) = 138 cm. | area 1190 cm^2, perimeter 138 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 63 in the ratio 5:2. | Total parts = 5 + 2 = 7. Each part = 63/7 = 9. Shares = 45 and 18. | 45 and 18 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 75, 39, 64. | Sum = 178, count = 3. Mean = 178/3 = 59.33. | 59.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/1 + 3/4. Give the answer in simplest form. | Common denominator is 4. 5/1 = 20/4, 3/4 = 3/4. Sum = 23/4 = 23/4. | 23/4 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 15% of 200? | 15% of 200 = (15/100) × 200 = 30. | 30 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 400 is decreased by 25%. What is the new value? | Change = 25% of 400 = 100. New value = 400 - 100 = 300. | 300 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 48/16. | gcd(48, 16) = 16. Dividing gives 3. | 3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 320 is decreased by 10%. What is the new value? | Change = 10% of 320 = 32. New value = 320 - 32 = 288. | 288 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 34 kg to g. | 1 kg = 1000 g, so 34 kg = 34 × 1000 = 34000 g. | 34000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 32/48. | gcd(32, 48) = 16. Dividing gives 2/3. | 2/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 160 is decreased by 20%. What is the new value? | Change = 20% of 160 = 32. New value = 160 - 32 = 128. | 128 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 7 + 11 × 3 using the order of operations. | Multiply first: 11 × 3 = 33. Then add: 7 + 33 = 40. | 40 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 50 in the ratio 2:3. | Total parts = 2 + 3 = 5. Each part = 50/5 = 10. Shares = 20 and 30. | 20 and 30 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 7x - 1 = -57. | Subtract -1 from both sides: 7x = -56. Divide by 7: x = -8. | -8 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 2 + 14 × 8 using the order of operations. | Multiply first: 14 × 8 = 112. Then add: 2 + 112 = 114. | 114 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 11 m to cm. | 1 m = 100 cm, so 11 m = 11 × 100 = 1100 cm. | 1100 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 170 is increased by 25%. What is the new value? | Change = 25% of 170 = 42.5. New value = 170 + 42.5 = 212.5. | 212.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 12 + 9 × 7 using the order of operations. | Multiply first: 9 × 7 = 63. Then add: 12 + 63 = 75. | 75 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 8/4 + 1/2. Give the answer in simplest form. | Common denominator is 4. 8/4 = 8/4, 1/2 = 2/4. Sum = 10/4 = 5/2. | 5/2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x + 11 = 56. | Subtract +11 from both sides: 5x = 45. Divide by 5: x = 9. | 9 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x - 7 = -37. | Subtract -7 from both sides: 5x = -30. Divide by 5: x = -6. | -6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 47, 52, 36, 34, 27. | Sum = 196, count = 5. Mean = 196/5 = 39.2. | 39.2 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 3, 12, 48, 192, ... ? | The pattern is geometric (multiplying by 4), so the next term is 768. | 768 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 280 is decreased by 25%. What is the new value? | Change = 25% of 280 = 70. New value = 280 - 70 = 210. | 210 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x + 2 = -13. | Subtract +2 from both sides: 5x = -15. Divide by 5: x = -3. | -3 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 49 and 60. | GCD(49, 60) = 1. LCM = (49 × 60) / GCD = 2940/1 = 2940. | GCD 1, LCM 2940 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 20% of 160? | 20% of 160 = (20/100) × 160 = 32. | 32 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 6 and 19. | GCD(6, 19) = 1. LCM = (6 × 19) / GCD = 114/1 = 114. | GCD 1, LCM 114 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 18 and 54. | GCD(18, 54) = 18. LCM = (18 × 54) / GCD = 972/18 = 54. | GCD 18, LCM 54 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 16 in the ratio 2:2. | Total parts = 2 + 2 = 4. Each part = 16/4 = 4. Shares = 8 and 8. | 8 and 8 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Amit buys 10 pens at 24 rupees each. How much does Amit pay in total? | Total = 10 × 24 = 240 rupees. | 240 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 210? | 60% of 210 = (60/100) × 210 = 126. | 126 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 4, 11, 18, 25, ... ? | The pattern is arithmetic (adding 7), so the next term is 32. | 32 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 18 km to m. | 1 km = 1000 m, so 18 km = 18 × 1000 = 18000 m. | 18000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 16/16. | gcd(16, 16) = 16. Dividing gives 1. | 1 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 10% of 200? | 10% of 200 = (10/100) × 200 = 20. | 20 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Omar buys 20 books at 31 rupees each. How much does Omar pay in total? | Total = 20 × 31 = 620 rupees. | 620 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 45 m to cm. | 1 m = 100 cm, so 45 m = 45 × 100 = 4500 cm. | 4500 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x + 7 = 37. | Subtract +7 from both sides: 5x = 30. Divide by 5: x = 6. | 6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 74 km/h for 2 hours. How far does it go? | Distance = speed × time = 74 × 2 = 148 km. | 148 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 11 kg to g. | 1 kg = 1000 g, so 11 kg = 11 × 1000 = 11000 g. | 11000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 10 m to cm. | 1 m = 100 cm, so 10 m = 10 × 100 = 1000 cm. | 1000 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 4/7 + 4/1. Give the answer in simplest form. | Common denominator is 7. 4/7 = 4/7, 4/1 = 28/7. Sum = 32/7 = 32/7. | 32/7 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 40% of 60? | 40% of 60 = (40/100) × 60 = 24. | 24 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Priya buys 11 tickets at 41 rupees each. How much does Priya pay in total? | Total = 11 × 41 = 451 rupees. | 451 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 26 and 29. | GCD(26, 29) = 1. LCM = (26 × 29) / GCD = 754/1 = 754. | GCD 1, LCM 754 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 97, 22, 15, 55, 3, 71. | Sum = 263, count = 6. Mean = 263/6 = 43.83. | 43.83 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 9 cm long and 18 cm wide. Find its area and perimeter. | Area = length × width = 9 × 18 = 162 cm². Perimeter = 2 × (9 + 18) = 54 cm. | area 162 cm^2, perimeter 54 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x + 9 = -27. | Subtract +9 from both sides: 6x = -36. Divide by 6: x = -6. | -6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 5% of 200? | 5% of 200 = (5/100) × 200 = 10. | 10 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 12, 48, 192, 768, ... ? | The pattern is geometric (multiplying by 4), so the next term is 3072. | 3072 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 130 is decreased by 20%. What is the new value? | Change = 20% of 130 = 26. New value = 130 - 26 = 104. | 104 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 21 km/h for 5 hours. How far does it go? | Distance = speed × time = 21 × 5 = 105 km. | 105 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 4x + 12 = 56. | Subtract +12 from both sides: 4x = 44. Divide by 4: x = 11. | 11 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Maria buys 18 tickets at 14 rupees each. How much does Maria pay in total? | Total = 18 × 14 = 252 rupees. | 252 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 9x - 1 = -1. | Subtract -1 from both sides: 9x = 0. Divide by 9: x = 0. | 0 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 78 * 88. | 78 * 88 = 6864. | 6864 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 17 hours to minutes. | 1 hours = 60 minutes, so 17 hours = 17 × 60 = 1020 minutes. | 1020 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Sara buys 4 mangoes at 4 rupees each. How much does Sara pay in total? | Total = 4 × 4 = 16 rupees. | 16 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 190 is increased by 50%. What is the new value? | Change = 50% of 190 = 95. New value = 190 + 95 = 285. | 285 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 22 and 50. | GCD(22, 50) = 2. LCM = (22 × 50) / GCD = 1100/2 = 550. | GCD 2, LCM 550 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 2, 9, 16, 23, ... ? | The pattern is arithmetic (adding 7), so the next term is 30. | 30 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 390 is decreased by 10%. What is the new value? | Change = 10% of 390 = 39. New value = 390 - 39 = 351. | 351 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 81/27. | gcd(81, 27) = 27. Dividing gives 3. | 3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x + 11 = 29. | Subtract +11 from both sides: 2x = 18. Divide by 2: x = 9. | 9 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 5% of 340? | 5% of 340 = (5/100) × 340 = 17. | 17 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
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