messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -459 mod 246"
},
{
"role": "assistant",
"content": "<reasoning>\n-459 mod 246: -459 = 246 × -2 + 33, so remainder = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 14, 16, 18] and B = [4, 5, 12, 13, 14, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 11, 16].\n</reasoning>\nFinal Answer: [7, 11, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹1698. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1698 × 28/100 = 475.44. Total = 1698 + 475.44 = 2173.44.\n</reasoning>\nFinal Answer: 2173.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 66 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 66 × 71 = 4686.\n</reasoning>\nFinal Answer: 4686"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 38 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 38 × 49 = 1862.\n</reasoning>\nFinal Answer: 1862"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 74, 1, 68, 67, 52, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 32, 42, 52, 67, 68, 74]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -457 - 811"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 811 from -457: -457 - 811 = -1268.\n</reasoning>\nFinal Answer: -1268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:28 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/28, so B = A × (28/14) = 67 × 28/14 = 134.0.\n</reasoning>\nFinal Answer: 134.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5495 at 15% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5495 × 15 × 4 / 100 = 3297.0.\n</reasoning>\nFinal Answer: 3297.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [52, 44, 90, 68, 99, 30, 97, 12, 78, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 665/10 = 66.5.\n</reasoning>\nFinal Answer: 66.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 99 = 6633.\n</reasoning>\nFinal Answer: 6633"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 17, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (39-1)×17 = 11 + 646 = 657.\n</reasoning>\nFinal Answer: 657"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -49 = -1299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 25x = -1250. Divide by 25: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -32 = 718"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 25x = 750. Divide by 25: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -307 × 785"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -307 by 785: -307 × 785 = -240995.\n</reasoning>\nFinal Answer: -240995"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -20 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 10x = 30. Divide by 10: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17029 at 7% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17029 × 7 × 9 / 100 = 10728.27.\n</reasoning>\nFinal Answer: 10728.27"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 459?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 459 = (45/100) × 459 = 206.55.\n</reasoning>\nFinal Answer: 206.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 89, 38, 19, 8, 79, 70, 31, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 432/9 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [6, 9, 13] and B = [5, 9, 11, 12, 14, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 6, 9, 11, 12, 13, 14, 17, 18].\n</reasoning>\nFinal Answer: [5, 6, 9, 11, 12, 13, 14... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -286 + -962"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -286 and -962: -286 + -962 = -1248.\n</reasoning>\nFinal Answer: -1248"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 96 = 912.0.\n</reasoning>\nFinal Answer: 912.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 788 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 788 × (1 - 12/100) = 788 × 0.88 = 693.44.\n</reasoning>\nFinal Answer: 693.44"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -181 mod -535"
},
{
"role": "assistant",
"content": "<reasoning>\n-181 mod -535: -181 = -535 × 0 + -181, so remainder = -181.\n</reasoning>\nFinal Answer: -181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 7 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 25/60 = 7.4167 hours. Distance = speed × time = 95 × 7.4167 = 704.5833 km.\n</reasoning>\nFinal Answer: 704.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 - 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/10 - 14/9. LCD = 18. Result = -1/18.\n</reasoning>\nFinal Answer: -1/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 4 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 23+16-49=-10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 797 × -227"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 797 by -227: 797 × -227 = -180919.\n</reasoning>\nFinal Answer: -180919"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 493 - 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 227 from 493: 493 - 227 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 39 = -27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 11x = -66. Divide by 11: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+69) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "19 is what percentage of 574?"
},
{
"role": "assistant",
"content": "<reasoning>\n(19/574) × 100 = 3.3101%.\n</reasoning>\nFinal Answer: 3.3101%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 24 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 24 = 96 worker-days. New time = 96 / 18 = 5.3333 days.\n</reasoning>\nFinal Answer: 5.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 436."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 436 by smallest primes repeatedly: 436 = 2 × 2 × 109.\n</reasoning>\nFinal Answer: 2 × 2 × 109"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -328 × -106"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -328 by -106: -328 × -106 = 34768.\n</reasoning>\nFinal Answer: 34768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 453 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 453 × (1 + 35/100) = 453 × 1.35 = 611.55.\n</reasoning>\nFinal Answer: 611.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 161 km/h. How far does it travel in 12 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 48/60 = 12.8000 hours. Distance = speed × time = 161 × 12.8000 = 2060.8 km.\n</reasoning>\nFinal Answer: 2060.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 18 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+18) × 2 = 19.0.\n</reasoning>\nFinal Answer: 19.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 984 + 491"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 984 and 491: 984 + 491 = 1475.\n</reasoning>\nFinal Answer: 1475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 90, 70, 24, 38, 70, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 34, 38, 70, 70, 90, 98]. Middle value(s) → median = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 47 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+47) × 49 = 1200.5.\n</reasoning>\nFinal Answer: 1200.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 - 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/8 - 4/13. LCD = 104. Result = 7/104.\n</reasoning>\nFinal Answer: 7/104"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 + 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/4 + 13/2. Common denominator = 2. Result = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -36 = -576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 30x = -540. Divide by 30: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 7, 81, 37, 91, 20, 7, 37, 84, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 7, 15, 20, 37, 37, 78, 81, 84, 91]. Middle value(s) → median = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 194 km/h. How far does it travel in 10 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 14/60 = 10.2333 hours. Distance = speed × time = 194 × 10.2333 = 1985.2667 km.\n</reasoning>\nFinal Answer: 1985.2667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 16) * (28 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+16)=48, (28-50)=-22, then 48×-22=-1056.\n</reasoning>\nFinal Answer: -1056"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 25 = 333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 14x = 308. Divide by 14: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 + 11/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/15 + 11/6. Common denominator = 30. Result = 71/30.\n</reasoning>\nFinal Answer: 71/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:23 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/23, so B = A × (23/42) = 52 × 23/42 = 28.4762.\n</reasoning>\nFinal Answer: 28.4762"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 40% of 201?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 201 = (40/100) × 201 = 80.4.\n</reasoning>\nFinal Answer: 80.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 50, 37, 83, 85, 27, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 33, 37, 48, 50, 83, 85]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 - 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/2 - 18/1. LCD = 2. Result = -21/2.\n</reasoning>\nFinal Answer: -21/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 32 = -598"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 18x = -630. Divide by 18: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 712 × -611"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 712 by -611: 712 × -611 = -435032.\n</reasoning>\nFinal Answer: -435032"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 73, 91, 2, 45, 55, 9, 95, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 73: 1, 91: 1, 2: 1, 45: 1, 55: 1, 9: 1, 95: 1, 69: 1}. Most frequent: [18, 73, 91, 2, 45, 55, 9, 95, 69].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 + 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/18 + 13/14. Common denominator = 14. Result = 10/7.\n</reasoning>\nFinal Answer: 10/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18810 at 13% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18810 × 13 × 6 / 100 = 14671.8.\n</reasoning>\nFinal Answer: 14671.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 - 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/10 - 16/18. LCD = 90. Result = 19/90.\n</reasoning>\nFinal Answer: 19/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -966 - -409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -409 from -966: -966 - -409 = -557.\n</reasoning>\nFinal Answer: -557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -415 + -896"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -415 and -896: -415 + -896 = -1311.\n</reasoning>\nFinal Answer: -1311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 - 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/4 - 10/9. LCD = 18. Result = 25/18.\n</reasoning>\nFinal Answer: 25/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2271. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2271 × 18/100 = 408.78. Total = 2271 + 408.78 = 2679.78.\n</reasoning>\nFinal Answer: 2679.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:18 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/18, so B = A × (18/29) = 27 × 18/29 = 16.7586.\n</reasoning>\nFinal Answer: 16.7586"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:40 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/40, so B = A × (40/9) = 8 × 40/9 = 35.5556.\n</reasoning>\nFinal Answer: 35.5556"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 526 - 557"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 557 from 526: 526 - 557 = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -724 - -345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -345 from -724: -724 - -345 = -379.\n</reasoning>\nFinal Answer: -379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -748 - 765"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 765 from -748: -748 - 765 = -1513.\n</reasoning>\nFinal Answer: -1513"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "161 is what percentage of 184?"
},
{
"role": "assistant",
"content": "<reasoning>\n(161/184) × 100 = 87.5%.\n</reasoning>\nFinal Answer: 87.5%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:33 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/33, so B = A × (33/11) = 44 × 33/11 = 132.0.\n</reasoning>\nFinal Answer: 132.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 27 * 18 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×18=486, then 35+486-28=493.\n</reasoning>\nFinal Answer: 493"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [40, 36, 100, 58, 26, 26, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 26, 36, 40, 58, 72, 100]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 245 ÷ 23"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 245 by 23. 245 ÷ 23 = 10 (integer division).\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 / 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/17) ÷ (14/20) = (12/17) × (20/14) = 120/119.\n</reasoning>\nFinal Answer: 120/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 28, 48, 94, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 28 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 - 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/10 - 15/18. LCD = 6. Result = -1/3.\n</reasoning>\nFinal Answer: -1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹703. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 703 × 28/100 = 196.84. Total = 703 + 196.84 = 899.84.\n</reasoning>\nFinal Answer: 899.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -44 = 142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 6x = 186. Divide by 6: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 21 * 39 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×39=819, then 38+819-37=820.\n</reasoning>\nFinal Answer: 820"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 60, 98, 93, 26, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 60: 1, 98: 1, 93: 1, 26: 1, 23: 1}. Most frequent: [95, 60, 98, 93, 26, 23].\n</reasoning>\nFinal Answer: [95, 60, 98, 93, 26, 23]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -758 ÷ 683"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -758 by 683. -758 ÷ 683 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 146 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 146 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 48 + 47 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×48=2112 and 47×9=423, then add: 2535.\n</reasoning>\nFinal Answer: 2535"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:47 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/47, so B = A × (47/40) = 28 × 47/40 = 32.9.\n</reasoning>\nFinal Answer: 32.9"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -48 + -458"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -48 and -458: -48 + -458 = -506.\n</reasoning>\nFinal Answer: -506"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 78 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(78+96) = 2×174 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 79 = 3081.0.\n</reasoning>\nFinal Answer: 3081.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 30 + 411"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 30 and 411: 30 + 411 = 441.\n</reasoning>\nFinal Answer: 441"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 11 = 235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 7x = 224. Divide by 7: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 420 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 420 × (1 + 17/100) = 420 × 1.17 = 491.4.\n</reasoning>\nFinal Answer: 491.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 11 * 38 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×38=418, then 15+418-7=426.\n</reasoning>\nFinal Answer: 426"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -603 + 981"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -603 and 981: -603 + 981 = 378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 246 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 246 × (1 - 20/100) = 246 × 0.8 = 196.8.\n</reasoning>\nFinal Answer: 196.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -610 × 741"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -610 by 741: -610 × 741 = -452010.\n</reasoning>\nFinal Answer: -452010"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 50 = 242"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 8x = 192. Divide by 8: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 26, 92, 5, 80, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 5 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+57) = 2×113 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:24 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/24, so B = A × (24/25) = 39 × 24/25 = 37.44.\n</reasoning>\nFinal Answer: 37.44"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 99 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 99 + 49 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 / 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/5) ÷ (1/2) = (9/5) × (2/1) = 18/5.\n</reasoning>\nFinal Answer: 18/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
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