question stringlengths 17 74 | reasoning stringlengths 12 87 | answer stringlengths 1 42 | topic stringclasses 13
values | difficulty stringclasses 3
values | source stringclasses 1
value |
|---|---|---|---|---|---|
Simplify the fraction 14/35. | gcd(14, 35) = 7. Dividing gives 2/5. | 2/5 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 6 hours to minutes. | 1 hours = 60 minutes, so 6 hours = 6 × 60 = 360 minutes. | 360 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 49 km/h for 9 hours. How far does it go? | Distance = speed × time = 49 × 9 = 441 km. | 441 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 54 in the ratio 1:5. | Total parts = 1 + 5 = 6. Each part = 54/6 = 9. Shares = 9 and 45. | 9 and 45 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 10 + 6 × 2 using the order of operations. | Multiply first: 6 × 2 = 12. Then add: 10 + 12 = 22. | 22 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 375 + 27. | 375 + 27 = 402. | 402 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 15/35. | gcd(15, 35) = 5. Dividing gives 3/7. | 3/7 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
John buys 18 apples at 37 rupees each. How much does John pay in total? | Total = 18 × 37 = 666 rupees. | 666 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 45 km/h for 2 hours. How far does it go? | Distance = speed × time = 45 × 2 = 90 km. | 90 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 41 m to cm. | 1 m = 100 cm, so 41 m = 41 × 100 = 4100 cm. | 4100 cm | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 170? | 60% of 170 = (60/100) × 170 = 102. | 102 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 80 in the ratio 3:5. | Total parts = 3 + 5 = 8. Each part = 80/8 = 10. Shares = 30 and 50. | 30 and 50 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 200 is decreased by 10%. What is the new value? | Change = 10% of 200 = 20. New value = 200 - 20 = 180. | 180 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 6 in the ratio 2:4. | Total parts = 2 + 4 = 6. Each part = 6/6 = 1. Shares = 2 and 4. | 2 and 4 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 15 + 7 × 9 using the order of operations. | Multiply first: 7 × 9 = 63. Then add: 15 + 63 = 78. | 78 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 18 in the ratio 1:5. | Total parts = 1 + 5 = 6. Each part = 18/6 = 3. Shares = 3 and 15. | 3 and 15 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 6 raised to the power 4 (6^4). | 6^4 = 6 × 6 × 6 × 6 = 1296. | 1296 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 2/6. | gcd(2, 6) = 2. Dividing gives 1/3. | 1/3 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 150 is decreased by 25%. What is the new value? | Change = 25% of 150 = 37.5. New value = 150 - 37.5 = 112.5. | 112.5 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 68 * 82. | 68 * 82 = 5576. | 5576 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 29, 63, 94, 58, 12. | Sum = 256, count = 5. Mean = 256/5 = 51.2. | 51.2 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 3, 11, 19, 27, ... ? | The pattern is arithmetic (adding 8), so the next term is 35. | 35 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 5/2 + 6/3. Give the answer in simplest form. | Common denominator is 6. 5/2 = 15/6, 6/3 = 12/6. Sum = 27/6 = 9/2. | 9/2 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 10/10. | gcd(10, 10) = 10. Dividing gives 1. | 1 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A circle has radius 8 cm. Find its area and circumference (use π = 3.14). | Area = πr² = 3.14 × 8² = 200.96 cm². Circumference = 2πr = 2 × 3.14 × 8 = 50.24 cm. | area 200.96 cm^2, circumference 50.24 cm | geometry | hard | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 10% of 170? | 10% of 170 = (10/100) × 170 = 17. | 17 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 16 cm long and 31 cm wide. Find its area and perimeter. | Area = length × width = 16 × 31 = 496 cm². Perimeter = 2 × (16 + 31) = 94 cm. | area 496 cm^2, perimeter 94 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 2x + 6 = -10. | Subtract +6 from both sides: 2x = -16. Divide by 2: x = -8. | -8 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 40/35. | gcd(40, 35) = 5. Dividing gives 8/7. | 8/7 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 330 is increased by 20%. What is the new value? | Change = 20% of 330 = 66. New value = 330 + 66 = 396. | 396 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 5% of 190? | 5% of 190 = (5/100) × 190 = 9.5. | 9.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 50 and 14. | GCD(50, 14) = 2. LCM = (50 × 14) / GCD = 700/2 = 350. | GCD 2, LCM 350 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 21 km to m. | 1 km = 1000 m, so 21 km = 21 × 1000 = 21000 m. | 21000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 10, 30, 90, 270, ... ? | The pattern is geometric (multiplying by 3), so the next term is 810. | 810 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 17 cm long and 26 cm wide. Find its area and perimeter. | Area = length × width = 17 × 26 = 442 cm². Perimeter = 2 × (17 + 26) = 86 cm. | area 442 cm^2, perimeter 86 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 2 + 12 × 17 using the order of operations. | Multiply first: 12 × 17 = 204. Then add: 2 + 204 = 206. | 206 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 77 in the ratio 2:5. | Total parts = 2 + 5 = 7. Each part = 77/7 = 11. Shares = 22 and 55. | 22 and 55 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 18 cm long and 23 cm wide. Find its area and perimeter. | Area = length × width = 18 × 23 = 414 cm². Perimeter = 2 × (18 + 23) = 82 cm. | area 414 cm^2, perimeter 82 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 5/5. | gcd(5, 5) = 5. Dividing gives 1. | 1 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 644 - 369. | 644 - 369 = 275. | 275 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 50 km to m. | 1 km = 1000 m, so 50 km = 50 × 1000 = 50000 m. | 50000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 33 cm long and 23 cm wide. Find its area and perimeter. | Area = length × width = 33 × 23 = 759 cm². Perimeter = 2 × (33 + 23) = 112 cm. | area 759 cm^2, perimeter 112 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 17 and 47. | GCD(17, 47) = 1. LCM = (17 × 47) / GCD = 799/1 = 799. | GCD 1, LCM 799 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 7 + 17 × 12 using the order of operations. | Multiply first: 17 × 12 = 204. Then add: 7 + 204 = 211. | 211 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 14 cm long and 25 cm wide. Find its area and perimeter. | Area = length × width = 14 × 25 = 350 cm². Perimeter = 2 × (14 + 25) = 78 cm. | area 350 cm^2, perimeter 78 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 2/4 + 2/3. Give the answer in simplest form. | Common denominator is 12. 2/4 = 6/12, 2/3 = 8/12. Sum = 14/12 = 7/6. | 7/6 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 80, 82, 53, 51, 99, 20. | Sum = 385, count = 6. Mean = 385/6 = 64.17. | 64.17 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 42 in the ratio 2:4. | Total parts = 2 + 4 = 6. Each part = 42/6 = 7. Shares = 14 and 28. | 14 and 28 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 270 is decreased by 10%. What is the new value? | Change = 10% of 270 = 27. New value = 270 - 27 = 243. | 243 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 3x - 11 = -29. | Subtract -11 from both sides: 3x = -18. Divide by 3: x = -6. | -6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 41 and 38. | GCD(41, 38) = 1. LCM = (41 × 38) / GCD = 1558/1 = 1558. | GCD 1, LCM 1558 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 60 km/h for 4 hours. How far does it go? | Distance = speed × time = 60 × 4 = 240 km. | 240 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 3x - 2 = -20. | Subtract -2 from both sides: 3x = -18. Divide by 3: x = -6. | -6 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 36 in the ratio 4:5. | Total parts = 4 + 5 = 9. Each part = 36/9 = 4. Shares = 16 and 20. | 16 and 20 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 5x + 11 = 31. | Subtract +11 from both sides: 5x = 20. Divide by 5: x = 4. | 4 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 8/2 + 4/7. Give the answer in simplest form. | Common denominator is 14. 8/2 = 56/14, 4/7 = 8/14. Sum = 64/14 = 32/7. | 32/7 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 7, 21, 63, 189, ... ? | The pattern is geometric (multiplying by 3), so the next term is 567. | 567 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 300 is increased by 25%. What is the new value? | Change = 25% of 300 = 75. New value = 300 + 75 = 375. | 375 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 8, 11, 14, 17, ... ? | The pattern is arithmetic (adding 3), so the next term is 20. | 20 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 2 raised to the power 4 (2^4). | 2^4 = 2 × 2 × 2 × 2 = 16. | 16 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 1/4 + 5/9. Give the answer in simplest form. | Common denominator is 36. 1/4 = 9/36, 5/9 = 20/36. Sum = 29/36 = 29/36. | 29/36 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 5, 7, 9, 11, ... ? | The pattern is arithmetic (adding 2), so the next term is 13. | 13 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 11 cm long and 17 cm wide. Find its area and perimeter. | Area = length × width = 11 × 17 = 187 cm². Perimeter = 2 × (11 + 17) = 56 cm. | area 187 cm^2, perimeter 56 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 24 in the ratio 1:3. | Total parts = 1 + 3 = 4. Each part = 24/4 = 6. Shares = 6 and 18. | 6 and 18 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 10, 19, 28, 37, ... ? | The pattern is arithmetic (adding 9), so the next term is 46. | 46 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 72, 83, 77, 43, 54. | Sum = 329, count = 5. Mean = 329/5 = 65.8. | 65.8 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 18 + 11 × 16 using the order of operations. | Multiply first: 11 × 16 = 176. Then add: 18 + 176 = 194. | 194 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 9/6 + 9/5. Give the answer in simplest form. | Common denominator is 30. 9/6 = 45/30, 9/5 = 54/30. Sum = 99/30 = 33/10. | 33/10 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 25% of 30? | 25% of 30 = (25/100) × 30 = 7.5. | 7.5 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A value of 500 is increased by 20%. What is the new value? | Change = 20% of 500 = 100. New value = 500 + 100 = 600. | 600 | percentage | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Calculate 715 + 971. | 715 + 971 = 1686. | 1686 | arithmetic | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 3/3 + 8/2. Give the answer in simplest form. | Common denominator is 6. 3/3 = 6/6, 8/2 = 24/6. Sum = 30/6 = 5. | 5 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 47 kg to g. | 1 kg = 1000 g, so 47 kg = 47 × 1000 = 47000 g. | 47000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 9 raised to the power 4 (9^4). | 9^4 = 9 × 9 × 9 × 9 = 6561. | 6561 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is 60% of 190? | 60% of 190 = (60/100) × 190 = 114. | 114 | percentage | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 6 + 11 × 8 using the order of operations. | Multiply first: 11 × 8 = 88. Then add: 6 + 88 = 94. | 94 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 24 hours to minutes. | 1 hours = 60 minutes, so 24 hours = 24 × 60 = 1440 minutes. | 1440 minutes | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 79, 55, 64. | Sum = 198, count = 3. Mean = 198/3 = 66. | 66 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x + 7 = 1. | Subtract +7 from both sides: 6x = -6. Divide by 6: x = -1. | -1 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 6 cm long and 17 cm wide. Find its area and perimeter. | Area = length × width = 6 × 17 = 102 cm². Perimeter = 2 × (6 + 17) = 46 cm. | area 102 cm^2, perimeter 46 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 3 raised to the power 3 (3^3). | 3^3 = 3 × 3 × 3 = 27. | 27 | exponents | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 42, 91, 73, 84. | Sum = 290, count = 4. Mean = 290/4 = 72.5. | 72.5 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 39 kg to g. | 1 kg = 1000 g, so 39 kg = 39 × 1000 = 39000 g. | 39000 g | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 61 km/h for 7 hours. How far does it go? | Distance = speed × time = 61 × 7 = 427 km. | 427 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A rectangle is 4 cm long and 32 cm wide. Find its area and perimeter. | Area = length × width = 4 × 32 = 128 cm². Perimeter = 2 × (4 + 32) = 72 cm. | area 128 cm^2, perimeter 72 cm | geometry | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Add the fractions 1/1 + 6/1. Give the answer in simplest form. | Common denominator is 1. 1/1 = 1/1, 6/1 = 6/1. Sum = 7/1 = 7. | 7 | fractions | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Lily buys 4 pens at 26 rupees each. How much does Lily pay in total? | Total = 4 × 26 = 104 rupees. | 104 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Neha buys 3 boxes at 32 rupees each. How much does Neha pay in total? | Total = 3 × 32 = 96 rupees. | 96 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the average (mean) of these numbers: 93, 33, 48, 95, 58. | Sum = 327, count = 5. Mean = 327/5 = 65.4. | 65.4 | statistics | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Convert 19 km to m. | 1 km = 1000 m, so 19 km = 19 × 1000 = 19000 m. | 19000 m | units | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Solve for x: 6x - 4 = -58. | Subtract -4 from both sides: 6x = -54. Divide by 6: x = -9. | -9 | algebra | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
What is the next number in the sequence: 3, 9, 15, 21, ... ? | The pattern is arithmetic (adding 6), so the next term is 27. | 27 | sequences | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
A car travels at 82 km/h for 2 hours. How far does it go? | Distance = speed × time = 82 × 2 = 164 km. | 164 km | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Maria buys 10 tickets at 13 rupees each. How much does Maria pay in total? | Total = 10 × 13 = 130 rupees. | 130 | word-problem | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 21/3. | gcd(21, 3) = 3. Dividing gives 7. | 7 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Evaluate 9 + 20 × 20 using the order of operations. | Multiply first: 20 × 20 = 400. Then add: 9 + 400 = 409. | 409 | order-of-operations | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Divide 54 in the ratio 5:1. | Total parts = 5 + 1 = 6. Each part = 54/6 = 9. Shares = 45 and 9. | 45 and 9 | ratio | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Find the GCD and LCM of 37 and 59. | GCD(37, 59) = 1. LCM = (37 × 59) / GCD = 2183/1 = 2183. | GCD 1, LCM 2183 | number-theory | medium | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 72/45. | gcd(72, 45) = 9. Dividing gives 8/5. | 8/5 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
Simplify the fraction 27/12. | gcd(27, 12) = 3. Dividing gives 9/4. | 9/4 | fractions | easy | Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM) |
End of preview. Expand in Data Studio
Abhilash AI Research Lab — Math with Worked Solutions (math)
A synthetic dataset of ~5,000 arithmetic, algebra, word problems, and geometry, from the Abhilash AI Research Lab.
How it was made
Every example is produced by generators written for this project — hand-authored templates, rule tables, and solvers. Answers are computed in code (math and reasoning) or derived from authored rule tables (English), so each answer is verifiable and the whole set is reproducible from a fixed random seed.
No third-party language model was used to generate the content. This is a synthetic educational dataset for research and experimentation. It is not a benchmark and not human-expert-curated. Some phrasing is templated.
Fields
| field | description |
|---|---|
question |
the task / prompt |
reasoning |
a step-by-step worked explanation |
answer |
the final answer |
topic |
sub-category |
difficulty |
easy / medium / hard |
source |
provenance string |
Generator source
Code: https://github.com/shishodiaabhilash/synthetic-datasets
License
Apache-2.0.
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