messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "16 is what percentage of 31?"
},
{
"role": "assistant",
"content": "<reasoning>\n(16/31) × 100 = 51.6129%.\n</reasoning>\nFinal Answer: 51.6129%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 12/8 / 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/8) ÷ (1/4) = (12/8) × (4/1) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 64, 5, 88, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 200/5 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 47, 86, 50, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 254/5 = 50.8.\n</reasoning>\nFinal Answer: 50.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 130 and 190."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(130,190) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 1, 85, 21, 100, 66, 9, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 1 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 4, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (14-1)×4 = 26 + 52 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 64 = 2816.0.\n</reasoning>\nFinal Answer: 2816.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -46 = -446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 25x = -400. Divide by 25: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×6)/1 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 1 + 27 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×1=8 and 27×8=216, then add: 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 46) * (30 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+46)=63, (30-7)=23, then 63×23=1449.\n</reasoning>\nFinal Answer: 1449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -420 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from -420: -420 - 1 = -421.\n</reasoning>\nFinal Answer: -421"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:29 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/29, so B = A × (29/8) = 14 × 29/8 = 50.75.\n</reasoning>\nFinal Answer: 50.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 469 - -663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -663 from 469: 469 - -663 = 1132.\n</reasoning>\nFinal Answer: 1132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -805 ÷ 28"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -805 by 28. -805 ÷ 28 = -29 (integer division).\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 - 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/4 - 8/7. LCD = 28. Result = -25/28.\n</reasoning>\nFinal Answer: -25/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 183 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 183 × (1 + 25/100) = 183 × 1.25 = 228.75.\n</reasoning>\nFinal Answer: 228.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38662 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38662 × 16 × 2 / 100 = 12371.84.\n</reasoning>\nFinal Answer: 12371.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 - 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/20 - 19/1. LCD = 5. Result = -93/5.\n</reasoning>\nFinal Answer: -93/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 30, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 30 + 31 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 364 ÷ 311"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 364 by 311. 364 ÷ 311 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 97 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 97 × 29 = 1406.5.\n</reasoning>\nFinal Answer: 1406.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41622 at 16% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41622 × 16 × 2 / 100 = 13319.04.\n</reasoning>\nFinal Answer: 13319.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 3% of 280?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 280 = (3/100) × 280 = 8.4.\n</reasoning>\nFinal Answer: 8.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 315 ÷ -955"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 315 by -955. 315 ÷ -955 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 11] and B = [1, 4, 6, 10, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 50 = 2350.0.\n</reasoning>\nFinal Answer: 2350.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -23 = -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 15x = -60. Divide by 15: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 36 + 33 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×36=540 and 33×30=990, then add: 1530.\n</reasoning>\nFinal Answer: 1530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×33)/1 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [2, 12, 13, 17] and B = [2, 5, 8, 12, 14, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 8, 12, 13, 14, 16, 17].\n</reasoning>\nFinal Answer: [2, 5, 8, 12, 13, 14, 16... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -46 = -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 6x = 12. Divide by 6: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 812 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 812 × (1 - 3/100) = 812 × 0.97 = 787.64.\n</reasoning>\nFinal Answer: 787.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 / 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/11) ÷ (18/19) = (9/11) × (19/18) = 19/22.\n</reasoning>\nFinal Answer: 19/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 888 km apart. Their speeds are 83 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+51=134 km/h. Time = 888/134 = 6.6269 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 18 + 23 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×18=594 and 23×14=322, then add: 916.\n</reasoning>\nFinal Answer: 916"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 69 and 73."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(69,73) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 / 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/13) ÷ (13/4) = (12/13) × (4/13) = 48/169.\n</reasoning>\nFinal Answer: 48/169"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 384 + -634"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 384 and -634: 384 + -634 = -250.\n</reasoning>\nFinal Answer: -250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 98, 59, 49, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 304/5 = 60.8.\n</reasoning>\nFinal Answer: 60.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 2 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 27/60 = 2.4500 hours. Distance = speed × time = 200 × 2.4500 = 490.0 km.\n</reasoning>\nFinal Answer: 490.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×10)/1 = 410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹1079. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1079 × 28/100 = 302.12. Total = 1079 + 302.12 = 1381.12.\n</reasoning>\nFinal Answer: 1381.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 680 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 680 × (1 + 45/100) = 680 × 1.45 = 986.0.\n</reasoning>\nFinal Answer: 986.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -42 = -1142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 22x = -1100. Divide by 22: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -348 + 980"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -348 and 980: -348 + 980 = 632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 63?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 63 = (40/100) × 63 = 25.2.\n</reasoning>\nFinal Answer: 25.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 + 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/12 + 7/9. Common denominator = 18. Result = 29/18.\n</reasoning>\nFinal Answer: 29/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32670 at 10% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32670 × 10 × 2 / 100 = 6534.0.\n</reasoning>\nFinal Answer: 6534.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 368."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 368 by smallest primes repeatedly: 368 = 2 × 2 × 2 × 2 × 23.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 23"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "What is 60% of 280?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 280 = (60/100) × 280 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 891 + 412"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 891 and 412: 891 + 412 = 1303.\n</reasoning>\nFinal Answer: 1303"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:34 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/34, so B = A × (34/31) = 33 × 34/31 = 36.1935.\n</reasoning>\nFinal Answer: 36.1935"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -24 = 218"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 11x = 242. Divide by 11: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 8 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 8 = 88 worker-days. New time = 88 / 4 = 22.0 days.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 573 - -857"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -857 from 573: 573 - -857 = 1430.\n</reasoning>\nFinal Answer: 1430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 17 + 30 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×17=816 and 30×24=720, then add: 1536.\n</reasoning>\nFinal Answer: 1536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -7 = -72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 13x = -65. Divide by 13: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 129 km/h. How far does it travel in 3 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 8/60 = 3.1333 hours. Distance = speed × time = 129 × 3.1333 = 404.2 km.\n</reasoning>\nFinal Answer: 404.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 345 mod -418"
},
{
"role": "assistant",
"content": "<reasoning>\n345 mod -418: 345 = -418 × -1 + -73, so remainder = -73.\n</reasoning>\nFinal Answer: -73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 42?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 42 = (5/100) × 42 = 2.1.\n</reasoning>\nFinal Answer: 2.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 220 km apart. Their speeds are 100 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+103=203 km/h. Time = 220/203 = 1.0837 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,41) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29864 at 20% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29864 × 20 × 3 / 100 = 17918.4.\n</reasoning>\nFinal Answer: 17918.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 31 = -833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 18x = -864. Divide by 18: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -24 ÷ -438"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -24 by -438. -24 ÷ -438 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -25 = 1033"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 23x = 1058. Divide by 23: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 24 + 37 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×24=720 and 37×48=1776, then add: 2496.\n</reasoning>\nFinal Answer: 2496"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -10 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 3x = -78. Divide by 3: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 11, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (29-1)×11 = 32 + 308 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -50 = -1226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 24x = -1176. Divide by 24: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 58, 76, 94, 112]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 18. Next term = 112 + 18 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 99, 85, 54, 81, 48, 2, 79, 37, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 643/10 = 64.3.\n</reasoning>\nFinal Answer: 64.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 7% of 726?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 726 = (7/100) × 726 = 50.82.\n</reasoning>\nFinal Answer: 50.82"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 / 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/2) ÷ (9/15) = (12/2) × (15/9) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 61, 44, 63, 48, 32, 96, 21, 100, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 563/10 = 56.3.\n</reasoning>\nFinal Answer: 56.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36753 at 16% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36753 × 16 × 4 / 100 = 23521.92.\n</reasoning>\nFinal Answer: 23521.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 37 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 48+1369-7=1410.\n</reasoning>\nFinal Answer: 1410"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 74, 63, 50, 86, 40, 38, 59, 74, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 38 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -33 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 29x = 29. Divide by 29: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -33 = -849"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 24x = -816. Divide by 24: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+80) = 2×172 = 344.\n</reasoning>\nFinal Answer: 344"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 41, 86, 31, 32, 88, 80, 91, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 553/9 = 61.4444.\n</reasoning>\nFinal Answer: 61.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [94, 4, 20, 6, 12, 4, 85, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 4, 6, 12, 20, 85, 92, 94]. Middle value(s) → median = 16.0.\n</reasoning>\nFinal Answer: 16.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -538 mod 796"
},
{
"role": "assistant",
"content": "<reasoning>\n-538 mod 796: -538 = 796 × -1 + 258, so remainder = 258.\n</reasoning>\nFinal Answer: 258"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 46 * 35 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×35=1610, then 9+1610-22=1597.\n</reasoning>\nFinal Answer: 1597"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:9 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/9, so B = A × (9/14) = 7 × 9/14 = 4.5.\n</reasoning>\nFinal Answer: 4.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 - 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/5 - 17/20. LCD = 20. Result = 59/20.\n</reasoning>\nFinal Answer: 59/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:24 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/24, so B = A × (24/46) = 19 × 24/46 = 9.913.\n</reasoning>\nFinal Answer: 9.913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1652 at 19% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1652 × 19 × 4 / 100 = 1255.52.\n</reasoning>\nFinal Answer: 1255.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 296 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 296 × (1 + 20/100) = 296 × 1.2 = 355.2.\n</reasoning>\nFinal Answer: 355.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 2, 58, 72, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 2: 1, 58: 1, 72: 1, 47: 1}. Most frequent: [91, 2, 58, 72, 47].\n</reasoning>\nFinal Answer: [91, 2, 58, 72, 47]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -20 = 498"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 14x = 518. Divide by 14: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,36) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 78, 6, 80, 28, 71, 82, 2, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 6, 28, 48, 64, 71, 78, 80, 82]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 8 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 31+64-9=86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -9 = 117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 6x = 126. Divide by 6: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 43 * 10 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×10=430, then 47+430-33=444.\n</reasoning>\nFinal Answer: 444"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 18] and B = [6, 7, 8, 14, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 18].\n</reasoning>\nFinal Answer: [1, 4, 18]"
}
] | medium | [
"set_theory"
] |
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