messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 16x + -37 = -101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 16x = -64. Divide by 16: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 8 + 6 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×8=224 and 6×20=120, then add: 344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 46 = -1056"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 29x = -1102. Divide by 29: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 543 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 543 × (1 + 35/100) = 543 × 1.35 = 733.05.\n</reasoning>\nFinal Answer: 733.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/2 + 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/2 + 13/4. Common denominator = 4. Result = 19/4.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 29 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+29) × 14 = 385.0.\n</reasoning>\nFinal Answer: 385.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 765 mod -770"
},
{
"role": "assistant",
"content": "<reasoning>\n765 mod -770: 765 = -770 × -1 + -5, so remainder = -5.\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 152 km/h. How far does it travel in 5 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 57/60 = 5.9500 hours. Distance = speed × time = 152 × 5.9500 = 904.4 km.\n</reasoning>\nFinal Answer: 904.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 82, 95, 59, 95, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 49 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 20 ** 2 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 15+400-36=379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 18 = 53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 1x = 35. Divide by 1: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 45) * (5 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+45)=94, (5-49)=-44, then 94×-44=-4136.\n</reasoning>\nFinal Answer: -4136"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (6/8) = (36/144) = 1/4 after simplification.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "52 is what percentage of 569?"
},
{
"role": "assistant",
"content": "<reasoning>\n(52/569) × 100 = 9.1388%.\n</reasoning>\nFinal Answer: 9.1388%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 775 km apart. Their speeds are 46 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+77=123 km/h. Time = 775/123 = 6.3008 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 29 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 29 = 406 worker-days. New time = 406 / 17 = 23.8824 days.\n</reasoning>\nFinal Answer: 23.8824"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 372 ÷ 175"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 372 by 175. 372 ÷ 175 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 148 mod 826"
},
{
"role": "assistant",
"content": "<reasoning>\n148 mod 826: 148 = 826 × 0 + 148, so remainder = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×17)/1 = 612.\n</reasoning>\nFinal Answer: 612"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -934 + -562"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -934 and -562: -934 + -562 = -1496.\n</reasoning>\nFinal Answer: -1496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 42, 43, 16, 88, 76, 2, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 2 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2187. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2187 × 12/100 = 262.44. Total = 2187 + 262.44 = 2449.44.\n</reasoning>\nFinal Answer: 2449.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 + 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/7 + 18/6. Common denominator = 7. Result = 41/7.\n</reasoning>\nFinal Answer: 41/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43899 at 17% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43899 × 17 × 6 / 100 = 44776.98.\n</reasoning>\nFinal Answer: 44776.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 22 * 34 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×34=748, then 11+748-24=735.\n</reasoning>\nFinal Answer: 735"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 11, 13, 14, 16, 17] and B = [2, 3, 4, 5, 11, 14, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 6, 7, 13, 15, 16].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:27 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/27, so B = A × (27/35) = 51 × 27/35 = 39.3429.\n</reasoning>\nFinal Answer: 39.3429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -339 ÷ 107"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -339 by 107. -339 ÷ 107 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -6 = 190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 7x = 196. Divide by 7: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 61, 14, 48, 88, 3, 42, 31, 37, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 3 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2118. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2118 × 28/100 = 593.04. Total = 2118 + 593.04 = 2711.04.\n</reasoning>\nFinal Answer: 2711.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 49 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 1x = 29. Divide by 1: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:9 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/9, so B = A × (9/45) = 75 × 9/45 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "549 is what percentage of 882?"
},
{
"role": "assistant",
"content": "<reasoning>\n(549/882) × 100 = 62.2449%.\n</reasoning>\nFinal Answer: 62.2449%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:9 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/9, so B = A × (9/48) = 94 × 9/48 = 17.625.\n</reasoning>\nFinal Answer: 17.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "362 is what percentage of 379?"
},
{
"role": "assistant",
"content": "<reasoning>\n(362/379) × 100 = 95.5145%.\n</reasoning>\nFinal Answer: 95.5145%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 * 6/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/2) × (6/2) = (108/4) = 27 after simplification.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "479 is what percentage of 877?"
},
{
"role": "assistant",
"content": "<reasoning>\n(479/877) × 100 = 54.618%.\n</reasoning>\nFinal Answer: 54.618%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 33 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(33+91) = 2×124 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 63 = 2016.\n</reasoning>\nFinal Answer: 2016"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "328 is what percentage of 944?"
},
{
"role": "assistant",
"content": "<reasoning>\n(328/944) × 100 = 34.7458%.\n</reasoning>\nFinal Answer: 34.7458%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 26 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 26 = 208 worker-days. New time = 208 / 4 = 52.0 days.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 - 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/15 - 13/5. LCD = 15. Result = -7/3.\n</reasoning>\nFinal Answer: -7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:35 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/35, so B = A × (35/16) = 29 × 35/16 = 63.4375.\n</reasoning>\nFinal Answer: 63.4375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 43) * (9 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+43)=87, (9-46)=-37, then 87×-37=-3219.\n</reasoning>\nFinal Answer: -3219"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 161 apples and buys 112 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 161 + 112 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 142 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 183 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 74, 95, 91, 73, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 66 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -865 mod 701"
},
{
"role": "assistant",
"content": "<reasoning>\n-865 mod 701: -865 = 701 × -2 + 537, so remainder = 537.\n</reasoning>\nFinal Answer: 537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [10, 13, 14, 19] and B = [2, 4, 11, 12, 13, 14, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 19].\n</reasoning>\nFinal Answer: [10, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 11, 17, 18] and B = [2, 8, 11, 12, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 8, 12, 14, 18].\n</reasoning>\nFinal Answer: [1,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 185 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 185 × (1 + 15/100) = 185 × 1.15 = 212.75.\n</reasoning>\nFinal Answer: 212.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 512 + 365"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 512 and 365: 512 + 365 = 877.\n</reasoning>\nFinal Answer: 877"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -375 + 903"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -375 and 903: -375 + 903 = 528.\n</reasoning>\nFinal Answer: 528"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 9 = -832"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 29x = -841. Divide by 29: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 629 + -538"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 629 and -538: 629 + -538 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 - 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/19 - 13/18. LCD = 342. Result = -229/342.\n</reasoning>\nFinal Answer: -229/342"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 125 km apart. Their speeds are 66 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+49=115 km/h. Time = 125/115 = 1.087 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 107 km/h. How far does it travel in 6 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 47/60 = 6.7833 hours. Distance = speed × time = 107 × 6.7833 = 725.8167 km.\n</reasoning>\nFinal Answer: 725.8167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 10 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 24/60 = 10.4000 hours. Distance = speed × time = 99 × 10.4000 = 1029.6 km.\n</reasoning>\nFinal Answer: 1029.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -1 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 11x = -209. Divide by 11: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -819 × -131"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -819 by -131: -819 × -131 = 107289.\n</reasoning>\nFinal Answer: 107289"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 18, 25, 32, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 7. Next term = 39 + 7 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 / 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/14) ÷ (13/10) = (10/14) × (10/13) = 50/91.\n</reasoning>\nFinal Answer: 50/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 197 km/h. How far does it travel in 3 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 33/60 = 3.5500 hours. Distance = speed × time = 197 × 3.5500 = 699.35 km.\n</reasoning>\nFinal Answer: 699.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 10, 17, 18] and B = [1, 5, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 8, 10, 16, 17, 18].\n</reasoning>\nFinal Answer: [1, 3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 13 + 30 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×13=611 and 30×27=810, then add: 1421.\n</reasoning>\nFinal Answer: 1421"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 735 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from 735: 735 - 4 = 731.\n</reasoning>\nFinal Answer: 731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 31 = 279.\n</reasoning>\nFinal Answer: 279"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:23 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/23, so B = A × (23/44) = 64 × 23/44 = 33.4545.\n</reasoning>\nFinal Answer: 33.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 6) * (47 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+6)=7, (47-32)=15, then 7×15=105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 84, 17, 9, 6, 16, 30, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 16, 17, 17, 30, 41, 84]. Middle value(s) → median = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 82, 18, 33, 13, 47, 11, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 13, 18, 23, 33, 47, 68, 82]. Middle value(s) → median = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 28) * (44 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+28)=52, (44-50)=-6, then 52×-6=-312.\n</reasoning>\nFinal Answer: -312"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 93 apples and buys 176 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 93 + 176 = 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-10)x + (5) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×5×5 = 0. √discriminant = 0. x = (-(-10) ± 0) / (2×5). Solutions: x = 1 (double root).\n</reasoning>\nFinal Answer: x = 1 (double root)"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:48 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/48, so B = A × (48/38) = 64 × 48/38 = 80.8421.\n</reasoning>\nFinal Answer: 80.8421"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -706 + 531"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -706 and 531: -706 + 531 = -175.\n</reasoning>\nFinal Answer: -175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 845 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 845 × (1 + 17/100) = 845 × 1.17 = 988.65.\n</reasoning>\nFinal Answer: 988.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 * 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/16) × (18/9) = (144/144) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (45)x + (70) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 45² - 4×5×70 = 625. √discriminant = 25. x = (-(45) ± 25) / (2×5). Solutions: x = -2 or x = -7.\n</reasoning>\nFinal Answer: x = -2 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/8 + 2/7. Common denominator = 56. Result = 149/56.\n</reasoning>\nFinal Answer: 149/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 47 * 19 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×19=893, then 24+893-32=885.\n</reasoning>\nFinal Answer: 885"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 37 = -663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 25x = -700. Divide by 25: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 575 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 575 × (1 + 50/100) = 575 × 1.5 = 862.5.\n</reasoning>\nFinal Answer: 862.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1878. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1878 × 18/100 = 338.04. Total = 1878 + 338.04 = 2216.04.\n</reasoning>\nFinal Answer: 2216.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 - 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/9 - 16/11. LCD = 33. Result = -4/33.\n</reasoning>\nFinal Answer: -4/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 401 × -363"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 401 by -363: 401 × -363 = -145563.\n</reasoning>\nFinal Answer: -145563"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -974 - -627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -627 from -974: -974 - -627 = -347.\n</reasoning>\nFinal Answer: -347"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:45 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/45, so B = A × (45/16) = 38 × 45/16 = 106.875.\n</reasoning>\nFinal Answer: 106.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 10 = -158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 7x = -168. Divide by 7: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 13, 15] and B = [1, 4, 8, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 7, 8, 10, 13, 15, 18].\n</reasoning>\nFinal Answer: [1, 4, 7, 8, 10, 13, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 25 + 26 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×25=125 and 26×7=182, then add: 307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:39 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/39, so B = A × (39/18) = 44 × 39/18 = 95.3333.\n</reasoning>\nFinal Answer: 95.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 30 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(30+90) = 2×120 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 585 ÷ 71"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 585 by 71. 585 ÷ 71 = 8 (integer division).\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 745 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 745 × (1 + 70/100) = 745 × 1.7 = 1266.5.\n</reasoning>\nFinal Answer: 1266.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 46, 54, 62, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 8. Next term = 70 + 8 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -856 ÷ -315"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -856 by -315. -856 ÷ -315 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 - 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/11 - 3/7. LCD = 77. Result = 23/77.\n</reasoning>\nFinal Answer: 23/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
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