messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 27 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 21+729-49=701.\n</reasoning>\nFinal Answer: 701"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 18, 37, 29, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 209/5 = 41.8.\n</reasoning>\nFinal Answer: 41.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25621 at 7% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25621 × 7 × 2 / 100 = 3586.94.\n</reasoning>\nFinal Answer: 3586.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 10 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 10 × 97 = 485.0.\n</reasoning>\nFinal Answer: 485.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 17 = -577"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 18x = -594. Divide by 18: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 9 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 9 = 162 worker-days. New time = 162 / 6 = 27.0 days.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -8 = -1016"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 21x = -1008. Divide by 21: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 38 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+38) × 5 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 23 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 23 × 6 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 24 × 210"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 24 by 210: 24 × 210 = 5040.\n</reasoning>\nFinal Answer: 5040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 + 6/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/16 + 6/7. Common denominator = 14. Result = 19/14.\n</reasoning>\nFinal Answer: 19/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [7, 66, 8, 3, 15, 64, 13, 83, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/9 = 29.7778.\n</reasoning>\nFinal Answer: 29.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 46 = -1454"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 30x = -1500. Divide by 30: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -39 = 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 3x = 102. Divide by 3: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 73 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(73+45) = 2×118 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 95 = 3325.0.\n</reasoning>\nFinal Answer: 3325.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 39 = 141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 3x = 102. Divide by 3: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -337 × -504"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -337 by -504: -337 × -504 = 169848.\n</reasoning>\nFinal Answer: 169848"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 36 = 1026.0.\n</reasoning>\nFinal Answer: 1026.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 10, 61, 58, 96, 54, 48, 64, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 10 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -672 + 355"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -672 and 355: -672 + 355 = -317.\n</reasoning>\nFinal Answer: -317"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 5 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+5) × 25 = 375.0.\n</reasoning>\nFinal Answer: 375.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 + 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/20 + 15/10. Common denominator = 20. Result = 47/20.\n</reasoning>\nFinal Answer: 47/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4792. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4792 × 12/100 = 575.04. Total = 4792 + 575.04 = 5367.04.\n</reasoning>\nFinal Answer: 5367.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 30 and 82."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(30,82) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:43 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/43, so B = A × (43/47) = 1 × 43/47 = 0.9149.\n</reasoning>\nFinal Answer: 0.9149"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 14 = 644.\n</reasoning>\nFinal Answer: 644"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [74, 13, 27, 72, 72, 21, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 349/7 = 49.8571.\n</reasoning>\nFinal Answer: 49.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 197 km/h. How far does it travel in 8 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 15/60 = 8.2500 hours. Distance = speed × time = 197 × 8.2500 = 1625.25 km.\n</reasoning>\nFinal Answer: 1625.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 925 + 952"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 925 and 952: 925 + 952 = 1877.\n</reasoning>\nFinal Answer: 1877"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 35 * 48 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×48=1680, then 42+1680-45=1677.\n</reasoning>\nFinal Answer: 1677"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:39 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/39, so B = A × (39/7) = 44 × 39/7 = 245.1429.\n</reasoning>\nFinal Answer: 245.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 90, 11, 1, 71, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 240/6 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -647 × -174"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -647 by -174: -647 × -174 = 112578.\n</reasoning>\nFinal Answer: 112578"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 57 km/h. How far does it travel in 2 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 26/60 = 2.4333 hours. Distance = speed × time = 57 × 2.4333 = 138.7 km.\n</reasoning>\nFinal Answer: 138.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -740 - -802"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -802 from -740: -740 - -802 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:2 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/2, so B = A × (2/45) = 6 × 2/45 = 0.2667.\n</reasoning>\nFinal Answer: 0.2667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:26 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/26, so B = A × (26/50) = 21 × 26/50 = 10.92.\n</reasoning>\nFinal Answer: 10.92"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 806 mod 431"
},
{
"role": "assistant",
"content": "<reasoning>\n806 mod 431: 806 = 431 × 1 + 375, so remainder = 375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 328 km apart. Their speeds are 70 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+81=151 km/h. Time = 328/151 = 2.1722 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 577 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 577 × (1 + 100/100) = 577 × 2.0 = 1154.0.\n</reasoning>\nFinal Answer: 1154.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "91 is what percentage of 409?"
},
{
"role": "assistant",
"content": "<reasoning>\n(91/409) × 100 = 22.2494%.\n</reasoning>\nFinal Answer: 22.2494%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 21, 60, 49, 49, 82, 1, 26, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 429/9 = 47.6667.\n</reasoning>\nFinal Answer: 47.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 17 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 17 = 255 worker-days. New time = 255 / 3 = 85.0 days.\n</reasoning>\nFinal Answer: 85.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 603 ÷ -952"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 603 by -952. 603 ÷ -952 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+1) = 2×96 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 24 * 49 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×49=1176, then 40+1176-9=1207.\n</reasoning>\nFinal Answer: 1207"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 959 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 959 × (1 - 30/100) = 959 × 0.7 = 671.3.\n</reasoning>\nFinal Answer: 671.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 23 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 23 = 230 worker-days. New time = 230 / 14 = 16.4286 days.\n</reasoning>\nFinal Answer: 16.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 72, 34, 20, 78, 75, 2, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 20, 34, 72, 73, 75, 78, 98]. Middle value(s) → median = 72.5.\n</reasoning>\nFinal Answer: 72.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 151."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,151) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 33 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 40+1089-35=1094.\n</reasoning>\nFinal Answer: 1094"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 80, 28, 97, 15, 63, 46, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 10 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -51 + -99"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -51 and -99: -51 + -99 = -150.\n</reasoning>\nFinal Answer: -150"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 27 = 511"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 22x = 484. Divide by 22: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2518. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2518 × 28/100 = 705.04. Total = 2518 + 705.04 = 3223.04.\n</reasoning>\nFinal Answer: 3223.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -659 ÷ -591"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -659 by -591. -659 ÷ -591 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 25 * 47 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×47=1175, then 4+1175-38=1141.\n</reasoning>\nFinal Answer: 1141"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "99 is what percentage of 475?"
},
{
"role": "assistant",
"content": "<reasoning>\n(99/475) × 100 = 20.8421%.\n</reasoning>\nFinal Answer: 20.8421%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 12 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 30+144-49=125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45555 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45555 × 1 × 7 / 100 = 3188.85.\n</reasoning>\nFinal Answer: 3188.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 148 - -268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -268 from 148: 148 - -268 = 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:12 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/12, so B = A × (12/43) = 50 × 12/43 = 13.9535.\n</reasoning>\nFinal Answer: 13.9535"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 9 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 27 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+27) × 47 = 1386.5.\n</reasoning>\nFinal Answer: 1386.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 13, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (43-1)×13 = 10 + 546 = 556.\n</reasoning>\nFinal Answer: 556"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 16 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 16 = 288 worker-days. New time = 288 / 5 = 57.6 days.\n</reasoning>\nFinal Answer: 57.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 27 = -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 6x = -90. Divide by 6: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 - 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/11 - 3/8. LCD = 88. Result = 111/88.\n</reasoning>\nFinal Answer: 111/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -251 - -891"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -891 from -251: -251 - -891 = 640.\n</reasoning>\nFinal Answer: 640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -13 × 441"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -13 by 441: -13 × 441 = -5733.\n</reasoning>\nFinal Answer: -5733"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 27 + 17 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×27=1161 and 17×44=748, then add: 1909.\n</reasoning>\nFinal Answer: 1909"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 8 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 10/60 = 8.1667 hours. Distance = speed × time = 87 × 8.1667 = 710.5 km.\n</reasoning>\nFinal Answer: 710.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 31 = 850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 21x = 819. Divide by 21: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 / 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/14) ÷ (18/10) = (2/14) × (10/18) = 5/63.\n</reasoning>\nFinal Answer: 5/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 14 = 446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 9x = 432. Divide by 9: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 20 + 13 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×20=180 and 13×30=390, then add: 570.\n</reasoning>\nFinal Answer: 570"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 63, 74, 64, 48, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 7, 48, 63, 64, 74]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 + 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/10 + 15/5. Common denominator = 10. Result = 41/10.\n</reasoning>\nFinal Answer: 41/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 257?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 257 = (80/100) × 257 = 205.6.\n</reasoning>\nFinal Answer: 205.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 29 = 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 7x = 105. Divide by 7: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 25, 96, 69, 10, 73, 77, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 25, 69, 73, 77, 91, 96, 98]. Middle value(s) → median = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -100 ÷ -813"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -100 by -813. -100 ÷ -813 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 578 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 578 × (1 - 90/100) = 578 × 0.09999999999999998 = 57.8.\n</reasoning>\nFinal Answer: 57.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 44 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 6+1936-30=1912.\n</reasoning>\nFinal Answer: 1912"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 31, 46, 12, 70, 60, 22, 98, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 31: 1, 46: 1, 12: 1, 70: 1, 60: 1, 22: 1, 98: 1, 45: 1}. Most frequent: [19, 31, 46, 12, 70, 60, 22, 98, 45].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 556 km apart. Their speeds are 105 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+43=148 km/h. Time = 556/148 = 3.7568 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 20 = 62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 21x = 42. Divide by 21: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 330 ÷ 206"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 330 by 206. 330 ÷ 206 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -745 × -185"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -745 by -185: -745 × -185 = 137825.\n</reasoning>\nFinal Answer: 137825"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -22 = -736"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 21x = -714. Divide by 21: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -547 - 850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 850 from -547: -547 - 850 = -1397.\n</reasoning>\nFinal Answer: -1397"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -50 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 3x = -9. Divide by 3: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 848 + 79"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 848 and 79: 848 + 79 = 927.\n</reasoning>\nFinal Answer: 927"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 + 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/19 + 2/6. Common denominator = 57. Result = 46/57.\n</reasoning>\nFinal Answer: 46/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 99, 60, 84, 74, 14, 43, 16, 35, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 533/10 = 53.3.\n</reasoning>\nFinal Answer: 53.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -32 = 688"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 30x = 720. Divide by 30: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 80, 65, 21, 19, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 19 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -177 + -201"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -177 and -201: -177 + -201 = -378.\n</reasoning>\nFinal Answer: -378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 9, 31, 51, 56, 55, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 29, 31, 51, 55, 56, 83]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
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