messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "8 workers can complete a job in 12 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 12 = 96 worker-days. New time = 96 / 2 = 48.0 days.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:36 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/36, so B = A × (36/20) = 62 × 36/20 = 111.6.\n</reasoning>\nFinal Answer: 111.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 972 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 972 × (1 - 100/100) = 972 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 76 = 798.0.\n</reasoning>\nFinal Answer: 798.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 49 = 1813.0.\n</reasoning>\nFinal Answer: 1813.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 573 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 573 × (1 + 30/100) = 573 × 1.3 = 744.9.\n</reasoning>\nFinal Answer: 744.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [88, 11, 15, 21, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 3 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -15 = -255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 20x = -240. Divide by 20: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -833 ÷ -535"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -833 by -535. -833 ÷ -535 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 211 × -35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 211 by -35: 211 × -35 = -7385.\n</reasoning>\nFinal Answer: -7385"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 40 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 9x = 45. Divide by 9: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 84, 17, 98, 48, 16, 65, 89, 77, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 16 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 81, 79, 80, 87, 52, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [52, 79, 79, 80, 81, 85, 87]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:40 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/40, so B = A × (40/34) = 62 × 40/34 = 72.9412.\n</reasoning>\nFinal Answer: 72.9412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 11 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 36+121-9=148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4366. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4366 × 18/100 = 785.88. Total = 4366 + 785.88 = 5151.88.\n</reasoning>\nFinal Answer: 5151.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -11 = 429"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 10x = 440. Divide by 10: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 68 = 1020.\n</reasoning>\nFinal Answer: 1020"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 13, 56, 10, 17, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 222/6 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 42, 78, 24, 77, 63, 86, 80, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 42, 49, 56, 63, 77, 78, 80, 86]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 997 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 997 × (1 + 30/100) = 997 × 1.3 = 1296.1.\n</reasoning>\nFinal Answer: 1296.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 36 = -684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 20x = -720. Divide by 20: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 17, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (33-1)×17 = 29 + 544 = 573.\n</reasoning>\nFinal Answer: 573"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 279 km apart. Their speeds are 42 km/h and 79 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+79=121 km/h. Time = 279/121 = 2.3058 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 888 ÷ 574"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 888 by 574. 888 ÷ 574 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 278 ÷ -162"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 278 by -162. 278 ÷ -162 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 882?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 882 = (7/100) × 882 = 61.74.\n</reasoning>\nFinal Answer: 61.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 16 * 5 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×5=80, then 34+80-38=76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -453 × 678"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -453 by 678: -453 × 678 = -307134.\n</reasoning>\nFinal Answer: -307134"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 17] and B = [1, 6, 7, 8, 9, 10, 14, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 17].\n</reasoning>\nFinal Answer: [4, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 50. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 50 ≈ 314.1593.\n</reasoning>\nFinal Answer: 314.1593"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:7 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/7, so B = A × (7/12) = 40 × 7/12 = 23.3333.\n</reasoning>\nFinal Answer: 23.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 12 + 46 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×12=480 and 46×1=46, then add: 526.\n</reasoning>\nFinal Answer: 526"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 11 = 609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 26x = 598. Divide by 26: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -2 = -1106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 24x = -1104. Divide by 24: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -899 ÷ -720"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -899 by -720. -899 ÷ -720 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 20 = -601"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 27x = -621. Divide by 27: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 + 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/5 + 10/11. Common denominator = 11. Result = 54/11.\n</reasoning>\nFinal Answer: 54/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 57, 37, 99, 79, 84, 1, 90, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 547/9 = 60.7778.\n</reasoning>\nFinal Answer: 60.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 951 km apart. Their speeds are 61 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+83=144 km/h. Time = 951/144 = 6.6042 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 457 × 547"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 457 by 547: 457 × 547 = 249979.\n</reasoning>\nFinal Answer: 249979"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 24, 33, 61, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 24, 33, 61, 62]. Middle value(s) → median = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 178 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 178 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 21 = 756.0.\n</reasoning>\nFinal Answer: 756.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 589 + -247"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 589 and -247: 589 + -247 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 95, 84, 15, 14, 20, 79, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/8 = 44.375.\n</reasoning>\nFinal Answer: 44.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 3% of 102?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 102 = (3/100) × 102 = 3.06.\n</reasoning>\nFinal Answer: 3.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 32 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 3x = 102. Divide by 3: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 180 apples and buys 146 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 180 + 146 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 9, 10, 14, 17] and B = [3, 4, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 7, 9, 10, 11, 14, 17].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 103 apples and buys 77 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 103 + 77 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 44 = 450"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 29x = 406. Divide by 29: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -45 = 730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 25x = 775. Divide by 25: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 895 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 895 × (1 - 3/100) = 895 × 0.97 = 868.15.\n</reasoning>\nFinal Answer: 868.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 55, 5, 95, 55, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 2, 55: 2, 5: 1, 12: 1}. Most frequent: [95, 55].\n</reasoning>\nFinal Answer: [95, 55]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:15 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/15, so B = A × (15/42) = 51 × 15/42 = 18.2143.\n</reasoning>\nFinal Answer: 18.2143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 47 = 946"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 29x = 899. Divide by 29: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 15, 19] and B = [1, 8, 11, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 6, 7, 8, 11, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 3, 6, 7, 8, 11, 15, 17, 19]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 683 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 683 × (1 - 15/100) = 683 × 0.85 = 580.55.\n</reasoning>\nFinal Answer: 580.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -305 ÷ 626"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -305 by 626. -305 ÷ 626 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -204 × 240"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -204 by 240: -204 × 240 = -48960.\n</reasoning>\nFinal Answer: -48960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 207 km apart. Their speeds are 41 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+98=139 km/h. Time = 207/139 = 1.4892 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹255. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 255 × 28/100 = 71.4. Total = 255 + 71.4 = 326.4.\n</reasoning>\nFinal Answer: 326.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 39 * 36 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×36=1404, then 12+1404-20=1396.\n</reasoning>\nFinal Answer: 1396"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4384 at 15% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4384 × 15 × 5 / 100 = 3288.0.\n</reasoning>\nFinal Answer: 3288.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 35, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 35 + 37 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 297 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 297 × (1 + 75/100) = 297 × 1.75 = 519.75.\n</reasoning>\nFinal Answer: 519.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 74, 53, 31, 47, 10, 82, 24, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 74: 1, 53: 1, 31: 1, 47: 1, 10: 1, 82: 1, 24: 1, 16: 1}. Most frequent: [19, 74, 53, 31, 47, 10, 82, 24, 16].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -30 = -205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 5x = -175. Divide by 5: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 55, 58, 35, 2, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 55: 1, 58: 1, 35: 1, 2: 1, 37: 1}. Most frequent: [8, 55, 58, 35, 2, 37].\n</reasoning>\nFinal Answer: [8, 55, 58, 35, 2, 37]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 21, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 21 + 27 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 37 + 9 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×37=1591 and 9×11=99, then add: 1690.\n</reasoning>\nFinal Answer: 1690"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 814 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 814 × (1 + 70/100) = 814 × 1.7 = 1383.8.\n</reasoning>\nFinal Answer: 1383.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 773 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 773 × (1 + 65/100) = 773 × 1.65 = 1275.45.\n</reasoning>\nFinal Answer: 1275.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -486 + 123"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -486 and 123: -486 + 123 = -363.\n</reasoning>\nFinal Answer: -363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×48)/1 = 1776.\n</reasoning>\nFinal Answer: 1776"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 76 = 456.\n</reasoning>\nFinal Answer: 456"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 12 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 12 = 180 worker-days. New time = 180 / 13 = 13.8462 days.\n</reasoning>\nFinal Answer: 13.8462"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/20 + 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/20 + 12/14. Common denominator = 140. Result = 253/140.\n</reasoning>\nFinal Answer: 253/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 17 = -75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 4x = -92. Divide by 4: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 / 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/16) ÷ (5/8) = (11/16) × (8/5) = 11/10.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 521 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 521 × (1 + 3/100) = 521 × 1.03 = 536.63.\n</reasoning>\nFinal Answer: 536.63"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 42 * 46 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×46=1932, then 28+1932-21=1939.\n</reasoning>\nFinal Answer: 1939"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 - 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/16 - 10/9. LCD = 36. Result = -13/36.\n</reasoning>\nFinal Answer: -13/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 172 + -107"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 172 and -107: 172 + -107 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 5 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 10/60 = 5.1667 hours. Distance = speed × time = 53 × 5.1667 = 273.8333 km.\n</reasoning>\nFinal Answer: 273.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×3)/1 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹2038. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2038 × 12/100 = 244.56. Total = 2038 + 244.56 = 2282.56.\n</reasoning>\nFinal Answer: 2282.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 36 = -30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 3x = -66. Divide by 3: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -45 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 25x = 0. Divide by 25: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 5 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 28x = 56. Divide by 28: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 + 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/20 + 3/17. Common denominator = 340. Result = 77/340.\n</reasoning>\nFinal Answer: 77/340"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 447 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 447 × (1 - 40/100) = 447 × 0.6 = 268.2.\n</reasoning>\nFinal Answer: 268.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 198."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,198) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 536 × 250"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 536 by 250: 536 × 250 = 134000.\n</reasoning>\nFinal Answer: 134000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -518 - -171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -171 from -518: -518 - -171 = -347.\n</reasoning>\nFinal Answer: -347"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 168 km/h. How far does it travel in 5 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 6/60 = 5.1000 hours. Distance = speed × time = 168 × 5.1000 = 856.8 km.\n</reasoning>\nFinal Answer: 856.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 81, 45, 91, 89, 72, 45, 38, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 33 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 127 km/h. How far does it travel in 1 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 6/60 = 1.1000 hours. Distance = speed × time = 127 × 1.1000 = 139.7 km.\n</reasoning>\nFinal Answer: 139.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-24)x + (-27) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×3×-27 = 900. √discriminant = 30. x = (-(-24) ± 30) / (2×3). Solutions: x = -1 or x = 9.\n</reasoning>\nFinal Answer: x = -1 or x = 9"... | hard | [
"algebra",
"quadratic"
] |
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