messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -528 + -557"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -528 and -557: -528 + -557 = -1085.\n</reasoning>\nFinal Answer: -1085"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×45)/1 = 1440.\n</reasoning>\nFinal Answer: 1440"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 25 = -816"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 29x = -841. Divide by 29: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 + 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/15 + 20/5. Common denominator = 5. Result = 23/5.\n</reasoning>\nFinal Answer: 23/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 15, 5, 61, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 15, 23, 42, 61]. Middle value(s) → median = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 260 - -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -90 from 260: 260 - -90 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 957 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 957 × (1 - 30/100) = 957 × 0.7 = 669.9.\n</reasoning>\nFinal Answer: 669.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 90, 11, 74, 96, 86, 61, 10, 88, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 10 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -991 - 385"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 385 from -991: -991 - 385 = -1376.\n</reasoning>\nFinal Answer: -1376"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 35 = 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 24x = 216. Divide by 24: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 92, 32, 21, 84, 19, 83, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 19 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 11/14 - 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/14 - 3/16. LCD = 112. Result = 67/112.\n</reasoning>\nFinal Answer: 67/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 771 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 771 × (1 - 50/100) = 771 × 0.5 = 385.5.\n</reasoning>\nFinal Answer: 385.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4851. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4851 × 28/100 = 1358.28. Total = 4851 + 1358.28 = 6209.28.\n</reasoning>\nFinal Answer: 6209.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -43 = 603"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 19x = 646. Divide by 19: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 446 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 446 × (1 + 80/100) = 446 × 1.8 = 802.8.\n</reasoning>\nFinal Answer: 802.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 42 km/h. How far does it travel in 9 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 8/60 = 9.1333 hours. Distance = speed × time = 42 × 9.1333 = 383.6 km.\n</reasoning>\nFinal Answer: 383.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -14 = -482"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 13x = -468. Divide by 13: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 59 = 442.5.\n</reasoning>\nFinal Answer: 442.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 678 - 192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 192 from 678: 678 - 192 = 486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 156 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 156 × (1 + 25/100) = 156 × 1.25 = 195.0.\n</reasoning>\nFinal Answer: 195.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "168 is what percentage of 183?"
},
{
"role": "assistant",
"content": "<reasoning>\n(168/183) × 100 = 91.8033%.\n</reasoning>\nFinal Answer: 91.8033%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+25) = 2×81 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -360 × 554"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -360 by 554: -360 × 554 = -199440.\n</reasoning>\nFinal Answer: -199440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 95, 49, 51, 99, 95, 31, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 48, 49, 51, 59, 95, 95, 99]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 * 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/17) × (7/10) = (49/170) = 49/170 after simplification.\n</reasoning>\nFinal Answer: 49/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 11, 12, 13, 19] and B = [2, 4, 6, 7, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 7].\n</reasoning>\nFinal Answer: [6, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12383 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12383 × 1 × 8 / 100 = 990.64.\n</reasoning>\nFinal Answer: 990.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 71 = 461.5.\n</reasoning>\nFinal Answer: 461.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 36 = -666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 27x = -702. Divide by 27: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -551 + 388"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -551 and 388: -551 + 388 = -163.\n</reasoning>\nFinal Answer: -163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -939 mod -352"
},
{
"role": "assistant",
"content": "<reasoning>\n-939 mod -352: -939 = -352 × 2 + -235, so remainder = -235.\n</reasoning>\nFinal Answer: -235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 20 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 38+400-27=411.\n</reasoning>\nFinal Answer: 411"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 13 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(13+54) = 2×67 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 17 * 37 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×37=629, then 41+629-36=634.\n</reasoning>\nFinal Answer: 634"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 9, 16] and B = [1, 5, 6, 9, 10, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 6, 7, 9, 10, 15, 16].\n</reasoning>\nFinal Answer: [1, 3, 5, 6, 7, 9, 10, 15, 16]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 * 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/6) × (2/3) = (24/18) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 + 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/15 + 1/13. Common denominator = 65. Result = 18/65.\n</reasoning>\nFinal Answer: 18/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 677 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 677 × (1 - 12/100) = 677 × 0.88 = 595.76.\n</reasoning>\nFinal Answer: 595.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -34 = 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 4x = 124. Divide by 4: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 45 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 26x = 0. Divide by 26: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 112 km/h. How far does it travel in 9 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 10/60 = 9.1667 hours. Distance = speed × time = 112 × 9.1667 = 1026.6667 km.\n</reasoning>\nFinal Answer: 1026.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -600 ÷ -711"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -600 by -711. -600 ÷ -711 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 62, 70, 97, 23, 34, 96, 28, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 62: 1, 70: 1, 97: 1, 23: 1, 34: 1, 96: 1, 28: 1, 72: 1}. Most frequent: [48, 62, 70, 97, 23, 34, 96, 28, 72].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 28, 59, 45, 69, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 265/6 = 44.1667.\n</reasoning>\nFinal Answer: 44.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 89, 76, 19, 1, 86, 27, 27, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 18, 19, 27, 27, 32, 76, 86, 89]. Middle value(s) → median = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 166 mod 248"
},
{
"role": "assistant",
"content": "<reasoning>\n166 mod 248: 166 = 248 × 0 + 166, so remainder = 166.\n</reasoning>\nFinal Answer: 166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 65 = 4615.\n</reasoning>\nFinal Answer: 4615"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -20 = 220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 24x = 240. Divide by 24: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 18, 52, 6, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 52 - 6 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 117 × 707"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 117 by 707: 117 × 707 = 82719.\n</reasoning>\nFinal Answer: 82719"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 2 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 27+4-15=16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 77, 91, 7, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 77: 1, 91: 1, 7: 1, 25: 1}. Most frequent: [19, 77, 91, 7, 25].\n</reasoning>\nFinal Answer: [19, 77, 91, 7, 25]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:18 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/18, so B = A × (18/24) = 39 × 18/24 = 29.25.\n</reasoning>\nFinal Answer: 29.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 49 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 46+2401-17=2430.\n</reasoning>\nFinal Answer: 2430"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 18 * 19 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×19=342, then 37+342-33=346.\n</reasoning>\nFinal Answer: 346"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 2 * 13 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×13=26, then 29+26-31=24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 244 mod 741"
},
{
"role": "assistant",
"content": "<reasoning>\n244 mod 741: 244 = 741 × 0 + 244, so remainder = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -48 = -77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 29x = -29. Divide by 29: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -139 × -413"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -139 by -413: -139 × -413 = 57407.\n</reasoning>\nFinal Answer: 57407"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 56, 5, 71, 61, 4, 28, 83, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 5, 20, 28, 56, 61, 71, 83, 97]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 973 km apart. Their speeds are 74 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+100=174 km/h. Time = 973/174 = 5.592 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 326 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 326 × (1 - 60/100) = 326 × 0.4 = 130.4.\n</reasoning>\nFinal Answer: 130.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 14, 15, 17, 18] and B = [5, 6, 7, 8, 11, 12, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 6, 7, 9, 11, 12, 14, 17].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 668 km apart. Their speeds are 80 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+67=147 km/h. Time = 668/147 = 4.5442 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 85, 22, 100, 63, 32, 18, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 85: 1, 22: 1, 100: 1, 63: 1, 32: 1, 18: 1, 99: 1}. Most frequent: [36, 85, 22, 100, 63, 32, 18, 99].\n</reasoning>\nFinal Answer: [36, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 59, 77, 34, 22, 47, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 12, 22, 34, 47, 59, 77]. Middle value(s) → median = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 744 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 744 × (1 + 50/100) = 744 × 1.5 = 1116.0.\n</reasoning>\nFinal Answer: 1116.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 870 mod -341"
},
{
"role": "assistant",
"content": "<reasoning>\n870 mod -341: 870 = -341 × -3 + -153, so remainder = -153.\n</reasoning>\nFinal Answer: -153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 361?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 361 = (10/100) × 361 = 36.1.\n</reasoning>\nFinal Answer: 36.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 13 + 23 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×13=182 and 23×11=253, then add: 435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 10, 11, 14] and B = [5, 7, 8, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 288 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 288 × (1 + 50/100) = 288 × 1.5 = 432.0.\n</reasoning>\nFinal Answer: 432.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-27)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -27² - 4×3×0 = 729. √discriminant = 27. x = (-(-27) ± 27) / (2×3). Solutions: x = 0 or x = 9.\n</reasoning>\nFinal Answer: x = 0 or x = 9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 243 km apart. Their speeds are 94 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+117=211 km/h. Time = 243/211 = 1.1517 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 4 + 1 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×4=128 and 1×23=23, then add: 151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (6/19) = (90/342) = 5/19 after simplification.\n</reasoning>\nFinal Answer: 5/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -5 = 488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 29x = 493. Divide by 29: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 30, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 30 + 39 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:25 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/25, so B = A × (25/33) = 100 × 25/33 = 75.7576.\n</reasoning>\nFinal Answer: 75.7576"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [12, 16, 17, 19] and B = [2, 5, 6, 12, 14, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 6, 14, 16, 18, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 13 = 413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 10x = 400. Divide by 10: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 1, 43, 35, 12, 15, 51, 98, 94, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 1 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 628 ÷ 116"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 628 by 116. 628 ÷ 116 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 45 = 472.5.\n</reasoning>\nFinal Answer: 472.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 20 + 7 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×20=740 and 7×7=49, then add: 789.\n</reasoning>\nFinal Answer: 789"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-10)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×1×0 = 100. √discriminant = 10. x = (-(-10) ± 10) / (2×1). Solutions: x = 10 or x = 0.\n</reasoning>\nFinal Answer: x = 10 or x = 0"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 504 ÷ 894"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 504 by 894. 504 ÷ 894 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 39 * 12 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×12=468, then 14+468-33=449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -730 × 585"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -730 by 585: -730 × 585 = -427050.\n</reasoning>\nFinal Answer: -427050"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 20% of 363?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 363 = (20/100) × 363 = 72.6.\n</reasoning>\nFinal Answer: 72.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [40, 23, 11, 27, 32, 51, 61, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 23, 27, 32, 40, 51, 56, 61]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 22 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+22) × 7 = 217.0.\n</reasoning>\nFinal Answer: 217.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3441 at 5% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3441 × 5 × 10 / 100 = 1720.5.\n</reasoning>\nFinal Answer: 1720.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -163 ÷ 588"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -163 by 588. -163 ÷ 588 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 + 20/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/9 + 20/19. Common denominator = 171. Result = 541/171.\n</reasoning>\nFinal Answer: 541/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/5 + 15/16. Common denominator = 16. Result = 31/16.\n</reasoning>\nFinal Answer: 31/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 30 + 18 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×30=840 and 18×10=180, then add: 1020.\n</reasoning>\nFinal Answer: 1020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 11, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (41-1)×11 = 14 + 440 = 454.\n</reasoning>\nFinal Answer: 454"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 * 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/20) × (20/5) = (180/100) = 9/5 after simplification.\n</reasoning>\nFinal Answer: 9/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
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