messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [11, 16, 17] and B = [2, 7, 10, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 16, 17].\n</reasoning>\nFinal Answer: [11, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 34 = -330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 28x = -364. Divide by 28: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:19 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/19, so B = A × (19/1) = 75 × 19/1 = 1425.0.\n</reasoning>\nFinal Answer: 1425.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:48 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/48, so B = A × (48/30) = 48 × 48/30 = 76.8.\n</reasoning>\nFinal Answer: 76.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 16, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (19-1)×16 = 13 + 288 = 301.\n</reasoning>\nFinal Answer: 301"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -377 + -248"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -377 and -248: -377 + -248 = -625.\n</reasoning>\nFinal Answer: -625"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 851 mod -13"
},
{
"role": "assistant",
"content": "<reasoning>\n851 mod -13: 851 = -13 × -66 + -7, so remainder = -7.\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 13 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 13 = 195 worker-days. New time = 195 / 10 = 19.5 days.\n</reasoning>\nFinal Answer: 19.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 - 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/20 - 9/1. LCD = 10. Result = -89/10.\n</reasoning>\nFinal Answer: -89/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "348 is what percentage of 816?"
},
{
"role": "assistant",
"content": "<reasoning>\n(348/816) × 100 = 42.6471%.\n</reasoning>\nFinal Answer: 42.6471%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 42 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 42 × 71 = 2982.\n</reasoning>\nFinal Answer: 2982"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -20 = -1370"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 27x = -1350. Divide by 27: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 69 = 690.0.\n</reasoning>\nFinal Answer: 690.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 15% of 230?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 230 = (15/100) × 230 = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 78 apples and buys 100 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 78 + 100 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -353 ÷ 269"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -353 by 269. -353 ÷ 269 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -389 mod -787"
},
{
"role": "assistant",
"content": "<reasoning>\n-389 mod -787: -389 = -787 × 0 + -389, so remainder = -389.\n</reasoning>\nFinal Answer: -389"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 833 × -147"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 833 by -147: 833 × -147 = -122451.\n</reasoning>\nFinal Answer: -122451"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 66, 86, 27, 54, 27, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 433/7 = 61.8571.\n</reasoning>\nFinal Answer: 61.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 56, 66, 82, 24, 36, 14, 15, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 15, 24, 25, 36, 42, 56, 66, 82]. Middle value(s) → median = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 43, 34, 22, 57, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 22 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 2) * (1 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+2)=28, (1-22)=-21, then 28×-21=-588.\n</reasoning>\nFinal Answer: -588"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 3% of 7?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 7 = (3/100) × 7 = 0.21.\n</reasoning>\nFinal Answer: 0.21"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 28 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 20x = 100. Divide by 20: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 63 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 63 × (1 + 17/100) = 63 × 1.17 = 73.71.\n</reasoning>\nFinal Answer: 73.71"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 118 apples and buys 39 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 118 + 39 = 157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 20% of 609?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 609 = (20/100) × 609 = 121.8.\n</reasoning>\nFinal Answer: 121.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 67 = 402.\n</reasoning>\nFinal Answer: 402"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -165 + -690"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -165 and -690: -165 + -690 = -855.\n</reasoning>\nFinal Answer: -855"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 13 = -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 15x = -270. Divide by 15: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×50)/2 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 27) * (19 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+27)=71, (19-36)=-17, then 71×-17=-1207.\n</reasoning>\nFinal Answer: -1207"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 + 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/6 + 11/4. Common denominator = 4. Result = 23/4.\n</reasoning>\nFinal Answer: 23/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -38 = 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 12x = 360. Divide by 12: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -447 mod -947"
},
{
"role": "assistant",
"content": "<reasoning>\n-447 mod -947: -447 = -947 × 0 + -447, so remainder = -447.\n</reasoning>\nFinal Answer: -447"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4605. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4605 × 28/100 = 1289.4. Total = 4605 + 1289.4 = 5894.4.\n</reasoning>\nFinal Answer: 5894.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 293 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 293 × (1 + 90/100) = 293 × 1.9 = 556.7.\n</reasoning>\nFinal Answer: 556.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 38, 100, 10, 67, 95, 8, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 398/8 = 49.75.\n</reasoning>\nFinal Answer: 49.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 18 * 22 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×22=396, then 15+396-2=409.\n</reasoning>\nFinal Answer: 409"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 7 = 211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 17x = 204. Divide by 17: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 89 = 2892.5.\n</reasoning>\nFinal Answer: 2892.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 100% of 404?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 404 = (100/100) × 404 = 404.0.\n</reasoning>\nFinal Answer: 404.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 84 = 3360.0.\n</reasoning>\nFinal Answer: 3360.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 35, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 35 + 40 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 42 + 21 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×42=1554 and 21×8=168, then add: 1722.\n</reasoning>\nFinal Answer: 1722"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 66, 87, 60, 76, 17, 6, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 10, 17, 36, 60, 66, 76, 87]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -6 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 2x = 76. Divide by 2: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 121 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 121 + 102 = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 29) * (9 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+29)=41, (9-21)=-12, then 41×-12=-492.\n</reasoning>\nFinal Answer: -492"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 - 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/2 - 3/8. LCD = 8. Result = 33/8.\n</reasoning>\nFinal Answer: 33/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 29 = 1943.\n</reasoning>\nFinal Answer: 1943"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -11 = 951"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 26x = 962. Divide by 26: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -169 ÷ -693"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -169 by -693. -169 ÷ -693 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 7, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (23-1)×7 = 19 + 154 = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 931 + -343"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 931 and -343: 931 + -343 = 588.\n</reasoning>\nFinal Answer: 588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 671 + 917"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 671 and 917: 671 + 917 = 1588.\n</reasoning>\nFinal Answer: 1588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 38, 26, 16, 32, 97, 92, 64, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 26, 28, 32, 38, 43, 64, 92, 97]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [22, 74, 82, 87, 80, 48, 11, 41, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {22: 1, 74: 1, 82: 1, 87: 1, 80: 1, 48: 1, 11: 1, 41: 1, 67: 1}. Most frequent: [22, 74, 82, 87, 80, 48, 11, 41, 67].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:36 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/36, so B = A × (36/29) = 68 × 36/29 = 84.4138.\n</reasoning>\nFinal Answer: 84.4138"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1747. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1747 × 5/100 = 87.35. Total = 1747 + 87.35 = 1834.35.\n</reasoning>\nFinal Answer: 1834.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 59 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 159 = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 36 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 36 + 152 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -755 × -555"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -755 by -555: -755 × -555 = 419025.\n</reasoning>\nFinal Answer: 419025"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -48 = -485"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 19x = -437. Divide by 19: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 + 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/2 + 17/13. Common denominator = 26. Result = 99/26.\n</reasoning>\nFinal Answer: 99/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 26, 44, 62, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 18. Next term = 80 + 18 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -587 - 969"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 969 from -587: -587 - 969 = -1556.\n</reasoning>\nFinal Answer: -1556"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 50 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+50) × 22 = 616.0.\n</reasoning>\nFinal Answer: 616.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 8 = 158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 15x = 150. Divide by 15: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 5, 6, 9, 19] and B = [1, 2, 3, 6, 9, 15, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 6, 9, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 5, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (19-1)×5 = 11 + 90 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 5 = 153"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 4x = 148. Divide by 4: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 11, 99, 26, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 8 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 80% of 593?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 593 = (80/100) × 593 = 474.4.\n</reasoning>\nFinal Answer: 474.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 708 + -695"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 708 and -695: 708 + -695 = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 - 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/19 - 2/7. LCD = 133. Result = 39/133.\n</reasoning>\nFinal Answer: 39/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 45 * 37 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×37=1665, then 28+1665-37=1656.\n</reasoning>\nFinal Answer: 1656"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 86, 59, 11, 25, 95, 99, 85, 100, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 676/10 = 67.6.\n</reasoning>\nFinal Answer: 67.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 39 = 780.0.\n</reasoning>\nFinal Answer: 780.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 43 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+43) × 39 = 1443.0.\n</reasoning>\nFinal Answer: 1443.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×13)/1 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -259 + -17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -259 and -17: -259 + -17 = -276.\n</reasoning>\nFinal Answer: -276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 11, 14, 19] and B = [2, 4, 8, 9, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 5, 6, 8, 9, 11, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [2, 4, 5, 6, 8, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 + 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/16 + 1/1. Common denominator = 8. Result = 9/8.\n</reasoning>\nFinal Answer: 9/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 + 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/8 + 20/14. Common denominator = 56. Result = 199/56.\n</reasoning>\nFinal Answer: 199/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [12, 16, 19] and B = [5, 6, 7, 8, 9, 10, 13, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 19].\n</reasoning>\nFinal Answer: [12, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 255 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 255 × (1 + 15/100) = 255 × 1.15 = 293.25.\n</reasoning>\nFinal Answer: 293.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 701 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 701 × (1 - 15/100) = 701 × 0.85 = 595.85.\n</reasoning>\nFinal Answer: 595.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -20 = 547"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 27x = 567. Divide by 27: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:44 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/44, so B = A × (44/41) = 57 × 44/41 = 61.1707.\n</reasoning>\nFinal Answer: 61.1707"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 312 ÷ -1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 312 by -1. 312 ÷ -1 = -312 (integer division).\n</reasoning>\nFinal Answer: -312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 7 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+7) × 3 = 25.5.\n</reasoning>\nFinal Answer: 25.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 12 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(12+46) = 2×58 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 13, 18, 19] and B = [6, 8, 10, 11, 14, 15, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 5, 13, 19].\n</reasoning>\nFinal Answer: [1, 5, 13, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 92, 66, 44, 19, 89, 16, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 4 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 22 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 22 = 264 worker-days. New time = 264 / 16 = 16.5 days.\n</reasoning>\nFinal Answer: 16.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 8 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 8 = 48 worker-days. New time = 48 / 17 = 2.8235 days.\n</reasoning>\nFinal Answer: 2.8235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 + 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/4 + 17/11. Common denominator = 22. Result = 67/22.\n</reasoning>\nFinal Answer: 67/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 16, 83, 59, 75, 1, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 16: 1, 83: 1, 59: 1, 75: 1, 1: 1, 39: 1}. Most frequent: [93, 16, 83, 59, 75, 1, 39].\n</reasoning>\nFinal Answer: [93, 16, 83, 59, 75, 1, 39... | easy | [
"statistics",
"mode"
] |
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