messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -818 - 397"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 397 from -818: -818 - 397 = -1215.\n</reasoning>\nFinal Answer: -1215"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 548 - -620"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -620 from 548: 548 - -620 = 1168.\n</reasoning>\nFinal Answer: 1168"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -70 - -151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -151 from -70: -70 - -151 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 24 + 6 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×24=1104 and 6×39=234, then add: 1338.\n</reasoning>\nFinal Answer: 1338"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:24 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/24, so B = A × (24/18) = 82 × 24/18 = 109.3333.\n</reasoning>\nFinal Answer: 109.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44294 at 6% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44294 × 6 × 1 / 100 = 2657.64.\n</reasoning>\nFinal Answer: 2657.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 88, 32, 93, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 347/5 = 69.4.\n</reasoning>\nFinal Answer: 69.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:44 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/44, so B = A × (44/6) = 61 × 44/6 = 447.3333.\n</reasoning>\nFinal Answer: 447.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 13 = -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 13x = -221. Divide by 13: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 321."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 321 by smallest primes repeatedly: 321 = 3 × 107.\n</reasoning>\nFinal Answer: 3 × 107"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -33 = -501"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 13x = -468. Divide by 13: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:9 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/9, so B = A × (9/29) = 96 × 9/29 = 29.7931.\n</reasoning>\nFinal Answer: 29.7931"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 49, 40, 6, 68, 84, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 2, 40: 1, 6: 1, 68: 1, 84: 1, 26: 1}. Most frequent: 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -42 = 88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 26x = 130. Divide by 26: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 10 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 44/60 = 10.7333 hours. Distance = speed × time = 87 × 10.7333 = 933.8 km.\n</reasoning>\nFinal Answer: 933.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 75 = 4050.\n</reasoning>\nFinal Answer: 4050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -1 = 965"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 23x = 966. Divide by 23: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -31 = 590"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 27x = 621. Divide by 27: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 550 km apart. Their speeds are 69 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+113=182 km/h. Time = 550/182 = 3.022 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 15, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (39-1)×15 = 2 + 570 = 572.\n</reasoning>\nFinal Answer: 572"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "60 is what percentage of 558?"
},
{
"role": "assistant",
"content": "<reasoning>\n(60/558) × 100 = 10.7527%.\n</reasoning>\nFinal Answer: 10.7527%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 70% of 845?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 845 = (70/100) × 845 = 591.5.\n</reasoning>\nFinal Answer: 591.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 * 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/15) × (20/20) = (20/300) = 1/15 after simplification.\n</reasoning>\nFinal Answer: 1/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -621 × -231"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -621 by -231: -621 × -231 = 143451.\n</reasoning>\nFinal Answer: 143451"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×48)/1 = 912.\n</reasoning>\nFinal Answer: 912"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (33)x + (30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 33² - 4×3×30 = 729. √discriminant = 27. x = (-(33) ± 27) / (2×3). Solutions: x = -1 or x = -10.\n</reasoning>\nFinal Answer: x = -1 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 119 ÷ -573"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 119 by -573. 119 ÷ -573 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 10 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 10 = 160 worker-days. New time = 160 / 6 = 26.6667 days.\n</reasoning>\nFinal Answer: 26.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 19, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (29-1)×19 = 6 + 532 = 538.\n</reasoning>\nFinal Answer: 538"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 212 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 212 × (1 - 5/100) = 212 × 0.95 = 201.4.\n</reasoning>\nFinal Answer: 201.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 + 13/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/9 + 13/6. Common denominator = 18. Result = 47/18.\n</reasoning>\nFinal Answer: 47/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 + 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/5 + 5/20. Common denominator = 20. Result = 73/20.\n</reasoning>\nFinal Answer: 73/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+53) = 2×77 = 154.\n</reasoning>\nFinal Answer: 154"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 349 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 349 × (1 - 60/100) = 349 × 0.4 = 139.6.\n</reasoning>\nFinal Answer: 139.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 53, 57, 65, 11, 20, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 20, 46, 53, 57, 65, 88]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:35 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/35, so B = A × (35/44) = 66 × 35/44 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -15 = -275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 20x = -260. Divide by 20: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -41 = -301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 10x = -260. Divide by 10: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 / 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/16) ÷ (15/13) = (13/16) × (13/15) = 169/240.\n</reasoning>\nFinal Answer: 169/240"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 + 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/4 + 13/15. Common denominator = 60. Result = 187/60.\n</reasoning>\nFinal Answer: 187/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 774 - 434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 434 from 774: 774 - 434 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 75 = 825.\n</reasoning>\nFinal Answer: 825"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 47 km/h. How far does it travel in 11 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 7/60 = 11.1167 hours. Distance = speed × time = 47 × 11.1167 = 522.4833 km.\n</reasoning>\nFinal Answer: 522.4833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "108 is what percentage of 548?"
},
{
"role": "assistant",
"content": "<reasoning>\n(108/548) × 100 = 19.708%.\n</reasoning>\nFinal Answer: 19.708%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 * 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/16) × (14/13) = (14/208) = 7/104 after simplification.\n</reasoning>\nFinal Answer: 7/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:17 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/17, so B = A × (17/21) = 54 × 17/21 = 43.7143.\n</reasoning>\nFinal Answer: 43.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -15 = -452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 23x = -437. Divide by 23: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 52, 28, 47, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 28 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 + 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/7 + 1/9. Common denominator = 63. Result = 52/63.\n</reasoning>\nFinal Answer: 52/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -635 ÷ 854"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -635 by 854. -635 ÷ 854 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -3 = 186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 9x = 189. Divide by 9: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 16, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 16 + 28 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 530 + 55"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 530 and 55: 530 + 55 = 585.\n</reasoning>\nFinal Answer: 585"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 349 ÷ 673"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 349 by 673. 349 ÷ 673 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45549 at 14% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45549 × 14 × 4 / 100 = 25507.44.\n</reasoning>\nFinal Answer: 25507.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 4 = 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 12x = 48. Divide by 12: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 246 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 246 × (1 - 75/100) = 246 × 0.25 = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 40 = -301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 11x = -341. Divide by 11: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/9 / 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/9) ÷ (1/1) = (7/9) × (1/1) = 7/9.\n</reasoning>\nFinal Answer: 7/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [44, 13, 80, 33, 30, 4, 52, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 323/8 = 40.375.\n</reasoning>\nFinal Answer: 40.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 51, 65, 79, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 14. Next term = 93 + 14 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 19 = -101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 12x = -120. Divide by 12: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 49, 58, 19, 89, 90, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/7 = 49.4286.\n</reasoning>\nFinal Answer: 49.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 37 = 1093"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 24x = 1056. Divide by 24: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 34 = 1002"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 22x = 968. Divide by 22: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 44 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 10x = 90. Divide by 10: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 - 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/8 - 6/20. LCD = 20. Result = 39/20.\n</reasoning>\nFinal Answer: 39/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 85 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(85,21) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 27 = -701"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 28x = -728. Divide by 28: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4675. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4675 × 18/100 = 841.5. Total = 4675 + 841.5 = 5516.5.\n</reasoning>\nFinal Answer: 5516.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 21 = -339"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 10x = -360. Divide by 10: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×5)/1 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 22 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+22) × 14 = 231.0.\n</reasoning>\nFinal Answer: 231.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 182 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(182,174) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 34, 62, 94, 46, 89, 14, 47, 93, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 585/10 = 58.5.\n</reasoning>\nFinal Answer: 58.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 * 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/15) × (5/17) = (30/255) = 2/17 after simplification.\n</reasoning>\nFinal Answer: 2/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 * 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/12) × (3/16) = (15/192) = 5/64 after simplification.\n</reasoning>\nFinal Answer: 5/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 73 = 2810.5.\n</reasoning>\nFinal Answer: 2810.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 5 = 797"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 24x = 792. Divide by 24: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 1 = 173"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 4x = 172. Divide by 4: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 11 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 18/60 = 11.3000 hours. Distance = speed × time = 153 × 11.3000 = 1728.9 km.\n</reasoning>\nFinal Answer: 1728.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×27)/3 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:29 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/29, so B = A × (29/14) = 100 × 29/14 = 207.1429.\n</reasoning>\nFinal Answer: 207.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 + 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/18 + 14/20. Common denominator = 90. Result = 73/90.\n</reasoning>\nFinal Answer: 73/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 12 = 720.\n</reasoning>\nFinal Answer: 720"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 71 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 71 × 3 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 59 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 8, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (39-1)×8 = 20 + 304 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 17 = -943"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 30x = -960. Divide by 30: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 326 × 658"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 326 by 658: 326 × 658 = 214508.\n</reasoning>\nFinal Answer: 214508"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17376 at 19% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17376 × 19 × 6 / 100 = 19808.64.\n</reasoning>\nFinal Answer: 19808.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 13 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 13 = 247 worker-days. New time = 247 / 19 = 13.0 days.\n</reasoning>\nFinal Answer: 13.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 39 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(39,38) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -621 mod -528"
},
{
"role": "assistant",
"content": "<reasoning>\n-621 mod -528: -621 = -528 × 1 + -93, so remainder = -93.\n</reasoning>\nFinal Answer: -93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 11, 15, 19] and B = [2, 5, 7, 8, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 5, 8, 11, 14, 15, 18, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 8, 58, 44, 4, 14, 63, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 4 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -207 + -880"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -207 and -880: -207 + -880 = -1087.\n</reasoning>\nFinal Answer: -1087"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 10 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 10 = 70 worker-days. New time = 70 / 19 = 3.6842 days.\n</reasoning>\nFinal Answer: 3.6842"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -45 = -459"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 9x = -414. Divide by 9: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 161 km/h. How far does it travel in 3 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 9/60 = 3.1500 hours. Distance = speed × time = 161 × 3.1500 = 507.15 km.\n</reasoning>\nFinal Answer: 507.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
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