question stringlengths 17 74 | reasoning stringlengths 12 87 | answer stringlengths 1 42 | topic stringclasses 13
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Add the fractions 2/6 + 2/8. Give the answer in simplest form. | Common denominator is 24. 2/6 = 8/24, 2/8 = 6/24. Sum = 14/24 = 7/12. | 7/12 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x - 1 = -15. | Subtract -1 from both sides: 2x = -14. Divide by 2: x = -7. | -7 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 72 in the ratio 5:3. | Total parts = 5 + 3 = 8. Each part = 72/8 = 9. Shares = 45 and 27. | 45 and 27 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 4/5 + 1/5. Give the answer in simplest form. | Common denominator is 5. 4/5 = 4/5, 1/5 = 1/5. Sum = 5/5 = 1. | 1 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 18, 59, 95, 2. | Sum = 174, count = 4. Mean = 174/4 = 43.5. | 43.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 137 + 689. | 137 + 689 = 826. | 826 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 100, 54, 30, 68, 5. | Sum = 257, count = 5. Mean = 257/5 = 51.4. | 51.4 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 46, 38, 77. | Sum = 161, count = 3. Mean = 161/3 = 53.67. | 53.67 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 370? | 60% of 370 = (60/100) × 370 = 222. | 222 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 9x - 15 = 75. | Subtract -15 from both sides: 9x = 90. Divide by 9: x = 10. | 10 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 87 km/h for 4 hours. How far does it go? | Distance = speed × time = 87 × 4 = 348 km. | 348 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 54/27. | gcd(54, 27) = 27. Dividing gives 2. | 2 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x + 1 = 73. | Subtract +1 from both sides: 6x = 72. Divide by 6: x = 12. | 12 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 8x + 14 = -18. | Subtract +14 from both sides: 8x = -32. Divide by 8: x = -4. | -4 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 27, 31, 33, 88, 58, 49. | Sum = 286, count = 6. Mean = 286/6 = 47.67. | 47.67 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 17 + 16 × 11 using the order of operations. | Multiply first: 16 × 11 = 176. Then add: 17 + 176 = 193. | 193 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 92, 91, 47, 16, 75. | Sum = 321, count = 5. Mean = 321/5 = 64.2. | 64.2 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 11 cm long and 4 cm wide. Find its area and perimeter. | Area = length × width = 11 × 4 = 44 cm². Perimeter = 2 × (11 + 4) = 30 cm. | area 44 cm^2, perimeter 30 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 29 * 67. | 29 * 67 = 1943. | 1943 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 4x + 5 = -19. | Subtract +5 from both sides: 4x = -24. Divide by 4: x = -6. | -6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 110 is decreased by 20%. What is the new value? | Change = 20% of 110 = 22. New value = 110 - 22 = 88. | 88 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Maria buys 18 mangoes at 32 rupees each. How much does Maria pay in total? | Total = 18 × 32 = 576 rupees. | 576 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 6 + 2 × 17 using the order of operations. | Multiply first: 2 × 17 = 34. Then add: 6 + 34 = 40. | 40 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 71 km/h for 2 hours. How far does it go? | Distance = speed × time = 71 × 2 = 142 km. | 142 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 13 m to cm. | 1 m = 100 cm, so 13 m = 13 × 100 = 1300 cm. | 1300 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 62 * 47. | 62 * 47 = 2914. | 2914 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 47, 76, 67. | Sum = 190, count = 3. Mean = 190/3 = 63.33. | 63.33 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 89 + 918. | 89 + 918 = 1007. | 1007 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 18 and 24. | GCD(18, 24) = 6. LCM = (18 × 24) / GCD = 432/6 = 72. | GCD 6, LCM 72 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 74 * 11. | 74 * 11 = 814. | 814 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 10 + 6 × 15 using the order of operations. | Multiply first: 6 × 15 = 90. Then add: 10 + 90 = 100. | 100 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Lily buys 10 boxes at 11 rupees each. How much does Lily pay in total? | Total = 10 × 11 = 110 rupees. | 110 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 14/16. | gcd(14, 16) = 2. Dividing gives 7/8. | 7/8 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 41 and 54. | GCD(41, 54) = 1. LCM = (41 × 54) / GCD = 2214/1 = 2214. | GCD 1, LCM 2214 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 25% of 180? | 25% of 180 = (25/100) × 180 = 45. | 45 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 46 km/h for 2 hours. How far does it go? | Distance = speed × time = 46 × 2 = 92 km. | 92 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 877 - 854. | 877 - 854 = 23. | 23 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 86 km/h for 2 hours. How far does it go? | Distance = speed × time = 86 × 2 = 172 km. | 172 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 49/56. | gcd(49, 56) = 7. Dividing gives 7/8. | 7/8 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 6/1 + 7/8. Give the answer in simplest form. | Common denominator is 8. 6/1 = 48/8, 7/8 = 7/8. Sum = 55/8 = 55/8. | 55/8 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 30 km/h for 8 hours. How far does it go? | Distance = speed × time = 30 × 8 = 240 km. | 240 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 88, 31, 64, 69, 79, 33. | Sum = 364, count = 6. Mean = 364/6 = 60.67. | 60.67 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 20 and 44. | GCD(20, 44) = 4. LCM = (20 × 44) / GCD = 880/4 = 220. | GCD 4, LCM 220 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 310? | 60% of 310 = (60/100) × 310 = 186. | 186 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 7x - 8 = 76. | Subtract -8 from both sides: 7x = 84. Divide by 7: x = 12. | 12 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 3, 10, 17, 24, ... ? | The pattern is arithmetic (adding 7), so the next term is 31. | 31 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 2/2 + 7/4. Give the answer in simplest form. | Common denominator is 4. 2/2 = 4/4, 7/4 = 7/4. Sum = 11/4 = 11/4. | 11/4 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 20/5. | gcd(20, 5) = 5. Dividing gives 4. | 4 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 340 is increased by 10%. What is the new value? | Change = 10% of 340 = 34. New value = 340 + 34 = 374. | 374 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 18 + 11 × 10 using the order of operations. | Multiply first: 11 × 10 = 110. Then add: 18 + 110 = 128. | 128 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x - 7 = 33. | Subtract -7 from both sides: 5x = 40. Divide by 5: x = 8. | 8 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 25% of 400? | 25% of 400 = (25/100) × 400 = 100. | 100 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 34 hours to minutes. | 1 hours = 60 minutes, so 34 hours = 34 × 60 = 2040 minutes. | 2040 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Omar buys 14 apples at 18 rupees each. How much does Omar pay in total? | Total = 14 × 18 = 252 rupees. | 252 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 7, 10, 13, 16, ... ? | The pattern is arithmetic (adding 3), so the next term is 19. | 19 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 57 km/h for 6 hours. How far does it go? | Distance = speed × time = 57 × 6 = 342 km. | 342 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 55 and 21. | GCD(55, 21) = 1. LCM = (55 × 21) / GCD = 1155/1 = 1155. | GCD 1, LCM 1155 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 35/40. | gcd(35, 40) = 5. Dividing gives 7/8. | 7/8 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 56 in the ratio 5:3. | Total parts = 5 + 3 = 8. Each part = 56/8 = 7. Shares = 35 and 21. | 35 and 21 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 72/72. | gcd(72, 72) = 72. Dividing gives 1. | 1 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 56, 83, 49, 14. | Sum = 202, count = 4. Mean = 202/4 = 50.5. | 50.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 54/6. | gcd(54, 6) = 6. Dividing gives 9. | 9 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 89, 83, 88, 76. | Sum = 336, count = 4. Mean = 336/4 = 84. | 84 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/9 + 1/1. Give the answer in simplest form. | Common denominator is 9. 3/9 = 3/9, 1/1 = 9/9. Sum = 12/9 = 4/3. | 4/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 1/4 + 8/3. Give the answer in simplest form. | Common denominator is 12. 1/4 = 3/12, 8/3 = 32/12. Sum = 35/12 = 35/12. | 35/12 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 99 in the ratio 5:4. | Total parts = 5 + 4 = 9. Each part = 99/9 = 11. Shares = 55 and 44. | 55 and 44 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 12 + 10 × 17 using the order of operations. | Multiply first: 10 × 17 = 170. Then add: 12 + 170 = 182. | 182 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 37 * 15. | 37 * 15 = 555. | 555 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 594 - 138. | 594 - 138 = 456. | 456 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 170 is decreased by 25%. What is the new value? | Change = 25% of 170 = 42.5. New value = 170 - 42.5 = 127.5. | 127.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 22 cm long and 13 cm wide. Find its area and perimeter. | Area = length × width = 22 × 13 = 286 cm². Perimeter = 2 × (22 + 13) = 70 cm. | area 286 cm^2, perimeter 70 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 80 km/h for 8 hours. How far does it go? | Distance = speed × time = 80 × 8 = 640 km. | 640 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 15% of 240? | 15% of 240 = (15/100) × 240 = 36. | 36 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 14 candies at 24 rupees each. How much does John pay in total? | Total = 14 × 24 = 336 rupees. | 336 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 48 in the ratio 4:4. | Total parts = 4 + 4 = 8. Each part = 48/8 = 6. Shares = 24 and 24. | 24 and 24 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 430 is increased by 50%. What is the new value? | Change = 50% of 430 = 215. New value = 430 + 215 = 645. | 645 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 8/7 + 3/7. Give the answer in simplest form. | Common denominator is 7. 8/7 = 8/7, 3/7 = 3/7. Sum = 11/7 = 11/7. | 11/7 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 24/27. | gcd(24, 27) = 3. Dividing gives 8/9. | 8/9 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 8, 16, 32, 64, ... ? | The pattern is geometric (multiplying by 2), so the next term is 128. | 128 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 70 km/h for 9 hours. How far does it go? | Distance = speed × time = 70 × 9 = 630 km. | 630 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 88 km/h for 2 hours. How far does it go? | Distance = speed × time = 88 × 2 = 176 km. | 176 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 8 cm long and 35 cm wide. Find its area and perimeter. | Area = length × width = 8 × 35 = 280 cm². Perimeter = 2 × (8 + 35) = 86 cm. | area 280 cm^2, perimeter 86 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 8 in the ratio 5:3. | Total parts = 5 + 3 = 8. Each part = 8/8 = 1. Shares = 5 and 3. | 5 and 3 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 40 in the ratio 4:4. | Total parts = 4 + 4 = 8. Each part = 40/8 = 5. Shares = 20 and 20. | 20 and 20 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 36 + 510. | 36 + 510 = 546. | 546 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 1/8 + 2/9. Give the answer in simplest form. | Common denominator is 72. 1/8 = 9/72, 2/9 = 16/72. Sum = 25/72 = 25/72. | 25/72 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 8 kg to g. | 1 kg = 1000 g, so 8 kg = 8 × 1000 = 8000 g. | 8000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 160 is increased by 25%. What is the new value? | Change = 25% of 160 = 40. New value = 160 + 40 = 200. | 200 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 32 cm long and 17 cm wide. Find its area and perimeter. | Area = length × width = 32 × 17 = 544 cm². Perimeter = 2 × (32 + 17) = 98 cm. | area 544 cm^2, perimeter 98 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 19, 10, 63, 72, 52. | Sum = 216, count = 5. Mean = 216/5 = 43.2. | 43.2 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 957 + 508. | 957 + 508 = 1465. | 1465 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 15% of 390? | 15% of 390 = (15/100) × 390 = 58.5. | 58.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 7/3 + 3/1. Give the answer in simplest form. | Common denominator is 3. 7/3 = 7/3, 3/1 = 9/3. Sum = 16/3 = 16/3. | 16/3 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 992 - 662. | 992 - 662 = 330. | 330 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 5 cm long and 15 cm wide. Find its area and perimeter. | Area = length × width = 5 × 15 = 75 cm². Perimeter = 2 × (5 + 15) = 40 cm. | area 75 cm^2, perimeter 40 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Lily buys 20 mangoes at 9 rupees each. How much does Lily pay in total? | Total = 20 × 9 = 180 rupees. | 180 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Lily buys 9 apples at 28 rupees each. How much does Lily pay in total? | Total = 9 × 28 = 252 rupees. | 252 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 70 in the ratio 5:5. | Total parts = 5 + 5 = 10. Each part = 70/10 = 7. Shares = 35 and 35. | 35 and 35 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 11 mangoes at 12 rupees each. How much does John pay in total? | Total = 11 × 12 = 132 rupees. | 132 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 49 and 53. | GCD(49, 53) = 1. LCM = (49 × 53) / GCD = 2597/1 = 2597. | GCD 1, LCM 2597 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
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