messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [6, 59, 15, 95, 52, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 15, 52, 59, 62, 95]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -42 = 186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 6x = 228. Divide by 6: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 850 + -326"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 850 and -326: 850 + -326 = 524.\n</reasoning>\nFinal Answer: 524"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -187 + -218"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -187 and -218: -187 + -218 = -405.\n</reasoning>\nFinal Answer: -405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 12 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(12+42) = 2×54 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 28, 38, 84, 21, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 21 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 19) * (33 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+19)=37, (33-44)=-11, then 37×-11=-407.\n</reasoning>\nFinal Answer: -407"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -35 = 465"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 20x = 500. Divide by 20: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 15 + 7 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×15=405 and 7×2=14, then add: 419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 34 * 32 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×32=1088, then 49+1088-44=1093.\n</reasoning>\nFinal Answer: 1093"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 3 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 525 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 525 × (1 - 12/100) = 525 × 0.88 = 462.0.\n</reasoning>\nFinal Answer: 462.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 22 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 22 = 220 worker-days. New time = 220 / 17 = 12.9412 days.\n</reasoning>\nFinal Answer: 12.9412"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 70% of 753?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 753 = (70/100) × 753 = 527.1.\n</reasoning>\nFinal Answer: 527.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 / 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/18) ÷ (7/6) = (20/18) × (6/7) = 20/21.\n</reasoning>\nFinal Answer: 20/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 91 = 1274.\n</reasoning>\nFinal Answer: 1274"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [37, 45, 49, 1, 77, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 249/6 = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 89 = 6319.\n</reasoning>\nFinal Answer: 6319"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 10 = 192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 26x = 182. Divide by 26: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 186 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 186 + 49 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 54, 46, 92, 28, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 54: 1, 46: 1, 92: 1, 28: 1, 78: 1}. Most frequent: [97, 54, 46, 92, 28, 78].\n</reasoning>\nFinal Answer: [97, 54, 46, 92, 28, 78]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 * 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/5) × (20/13) = (400/65) = 80/13 after simplification.\n</reasoning>\nFinal Answer: 80/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 9, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (24-1)×9 = 29 + 207 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 315."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 315 by smallest primes repeatedly: 315 = 3 × 3 × 5 × 7.\n</reasoning>\nFinal Answer: 3 × 3 × 5 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 12 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 35+144-47=132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 165 and 183."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(165,183) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -308 mod 161"
},
{
"role": "assistant",
"content": "<reasoning>\n-308 mod 161: -308 = 161 × -2 + 14, so remainder = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 * 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/5) × (18/5) = (360/25) = 72/5 after simplification.\n</reasoning>\nFinal Answer: 72/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [4, 43, 27, 95, 98, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 299/6 = 49.8333.\n</reasoning>\nFinal Answer: 49.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -276 ÷ 755"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -276 by 755. -276 ÷ 755 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 - 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/12 - 11/9. LCD = 18. Result = -13/18.\n</reasoning>\nFinal Answer: -13/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 838 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 838 × (1 - 100/100) = 838 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 13 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 13 = 78 worker-days. New time = 78 / 9 = 8.6667 days.\n</reasoning>\nFinal Answer: 8.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 7) * (23 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+7)=9, (23-39)=-16, then 9×-16=-144.\n</reasoning>\nFinal Answer: -144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 89 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n89 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 12, 19] and B = [4, 8, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 19].\n</reasoning>\nFinal Answer: [4, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+82) = 2×147 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 78 = 1092.0.\n</reasoning>\nFinal Answer: 1092.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 2 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 2/7 = 0.2857.\n</reasoning>\nFinal Answer: 0.2857"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 45 = 121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 4x = 76. Divide by 4: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 266 mod -756"
},
{
"role": "assistant",
"content": "<reasoning>\n266 mod -756: 266 = -756 × -1 + -490, so remainder = -490.\n</reasoning>\nFinal Answer: -490"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:35 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/35, so B = A × (35/22) = 88 × 35/22 = 140.0.\n</reasoning>\nFinal Answer: 140.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 94 = 7426.\n</reasoning>\nFinal Answer: 7426"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 4 = -956"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 30x = -960. Divide by 30: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 50 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+50) × 49 = 2450.0.\n</reasoning>\nFinal Answer: 2450.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 17) * (2 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+17)=44, (2-48)=-46, then 44×-46=-2024.\n</reasoning>\nFinal Answer: -2024"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+25) = 2×66 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 2 apples and buys 146 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 2 + 146 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -51 mod -867"
},
{
"role": "assistant",
"content": "<reasoning>\n-51 mod -867: -51 = -867 × 0 + -51, so remainder = -51.\n</reasoning>\nFinal Answer: -51"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 11, 17, 18, 19] and B = [6, 11, 12, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 7, 8, 11, 12, 14, 17, 18, 19].\n</reasoning>\nFinal Answer: [6, 7, 8, 11, 12, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 63 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 63 × 2 = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 15) * (7 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+15)=41, (7-5)=2, then 41×2=82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "780 is what percentage of 911?"
},
{
"role": "assistant",
"content": "<reasoning>\n(780/911) × 100 = 85.6202%.\n</reasoning>\nFinal Answer: 85.6202%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 71, 1, 59, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 71: 1, 1: 1, 59: 1, 86: 1}. Most frequent: [34, 71, 1, 59, 86].\n</reasoning>\nFinal Answer: [34, 71, 1, 59, 86]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 3) * (25 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+3)=15, (25-41)=-16, then 15×-16=-240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 72, 97, 41, 41, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 21, 41, 41, 72, 97]. Middle value(s) → median = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹3385. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3385 × 18/100 = 609.3. Total = 3385 + 609.3 = 3994.3.\n</reasoning>\nFinal Answer: 3994.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 21, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 21 + 22 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 48, 88, 90, 59, 64, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 46 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:46 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/46, so B = A × (46/16) = 15 × 46/16 = 43.125.\n</reasoning>\nFinal Answer: 43.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 39 * 50 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×50=1950, then 17+1950-19=1948.\n</reasoning>\nFinal Answer: 1948"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 - 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/19 - 10/3. LCD = 57. Result = -169/57.\n</reasoning>\nFinal Answer: -169/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 12% of 61?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 61 = (12/100) × 61 = 7.32.\n</reasoning>\nFinal Answer: 7.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+62) = 2×122 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 9, 11, 13, 14, 18] and B = [3, 9, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 18].\n</reasoning>\nFinal Answer: [9, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 37 = 610.5.\n</reasoning>\nFinal Answer: 610.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 20, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 20 + 32 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 13, 14] and B = [9, 12, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 5, 9, 12, 13, 14, 16].\n</reasoning>\nFinal Answer: [2, 4... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 21 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 21 = 336 worker-days. New time = 336 / 14 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:7 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/7, so B = A × (7/47) = 71 × 7/47 = 10.5745.\n</reasoning>\nFinal Answer: 10.5745"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 143."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 143 by smallest primes repeatedly: 143 = 11 × 13.\n</reasoning>\nFinal Answer: 11 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 228 ÷ 455"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 228 by 455. 228 ÷ 455 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 23 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 23 = 299 worker-days. New time = 299 / 11 = 27.1818 days.\n</reasoning>\nFinal Answer: 27.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 17% of 582?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 582 = (17/100) × 582 = 98.94.\n</reasoning>\nFinal Answer: 98.94"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 31 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 31 + 58 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 / 18/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/2) ÷ (18/11) = (11/2) × (11/18) = 121/36.\n</reasoning>\nFinal Answer: 121/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 49 + 11 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×49=147 and 11×24=264, then add: 411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 100 = 3900.\n</reasoning>\nFinal Answer: 3900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 24 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+24) × 22 = 495.0.\n</reasoning>\nFinal Answer: 495.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 94, 93, 69, 12, 81, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 28, 69, 81, 93, 94]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 41 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(41+93) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 23 = 402.5.\n</reasoning>\nFinal Answer: 402.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 65, 58, 75, 56, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 443/6 = 73.8333.\n</reasoning>\nFinal Answer: 73.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 9, 12, 13, 15, 18] and B = [1, 2, 8, 12, 13, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 7, 8, 9, 12, 13, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [1, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 9) * (20 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+9)=47, (20-1)=19, then 47×19=893.\n</reasoning>\nFinal Answer: 893"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 39, 16, 10, 82, 63, 32, 26, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 16, 26, 32, 39, 63, 78, 82, 87]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 451 km apart. Their speeds are 61 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+40=101 km/h. Time = 451/101 = 4.4653 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 * 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/9) × (3/15) = (18/135) = 2/15 after simplification.\n</reasoning>\nFinal Answer: 2/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹862. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 862 × 28/100 = 241.36. Total = 862 + 241.36 = 1103.36.\n</reasoning>\nFinal Answer: 1103.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 956 km apart. Their speeds are 119 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+90=209 km/h. Time = 956/209 = 4.5742 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 50 - -145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -145 from 50: 50 - -145 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 86 and 162."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(86,162) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 437 - -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -300 from 437: 437 - -300 = 737.\n</reasoning>\nFinal Answer: 737"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 6, 70, 97, 30, 31, 1, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/8 = 44.375.\n</reasoning>\nFinal Answer: 44.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 - 12/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/3 - 12/3. LCD = 3. Result = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×29)/1 = 609.\n</reasoning>\nFinal Answer: 609"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 16, 27, 97, 39, 17, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 17, 27, 39, 43, 53, 97]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 * 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/13) × (8/17) = (40/221) = 40/221 after simplification.\n</reasoning>\nFinal Answer: 40/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/16 + 4/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/16 + 4/8. Common denominator = 16. Result = 15/16.\n</reasoning>\nFinal Answer: 15/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -992 + 548"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -992 and 548: -992 + 548 = -444.\n</reasoning>\nFinal Answer: -444"
}
] | medium | [
"arithmetic",
"computation"
] |
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