messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 29x + 28 = 695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 29x = 667. Divide by 29: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 6, 8, 14, 15, 18] and B = [1, 4, 10, 14, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 14, 15].\n</reasoning>\nFinal Answer: [1, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 95, 44, 2, 75, 42, 2, 9, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 95: 1, 44: 1, 2: 2, 75: 1, 42: 1, 9: 1, 54: 1}. Most frequent: 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -556 × -740"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -556 by -740: -556 × -740 = 411440.\n</reasoning>\nFinal Answer: 411440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 40, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 40 + 40 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 30 = 330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 25x = 300. Divide by 25: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 8 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 45/60 = 8.7500 hours. Distance = speed × time = 151 × 8.7500 = 1321.25 km.\n</reasoning>\nFinal Answer: 1321.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 40, 45, 50, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 5. Next term = 55 + 5 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -463 mod 398"
},
{
"role": "assistant",
"content": "<reasoning>\n-463 mod 398: -463 = 398 × -2 + 333, so remainder = 333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -208 + 674"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -208 and 674: -208 + 674 = 466.\n</reasoning>\nFinal Answer: 466"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 813 × 965"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 813 by 965: 813 × 965 = 784545.\n</reasoning>\nFinal Answer: 784545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 14 = -286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 25x = -300. Divide by 25: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 903 mod 906"
},
{
"role": "assistant",
"content": "<reasoning>\n903 mod 906: 903 = 906 × 0 + 903, so remainder = 903.\n</reasoning>\nFinal Answer: 903"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -527 - -787"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -787 from -527: -527 - -787 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:32 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/32, so B = A × (32/30) = 16 × 32/30 = 17.0667.\n</reasoning>\nFinal Answer: 17.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -923 ÷ -93"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -923 by -93. -923 ÷ -93 = 9 (integer division).\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -1000 mod -754"
},
{
"role": "assistant",
"content": "<reasoning>\n-1000 mod -754: -1000 = -754 × 1 + -246, so remainder = -246.\n</reasoning>\nFinal Answer: -246"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 36, 53, 86, 60, 31, 63, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 36, 53, 60, 63, 63, 80, 86]. Middle value(s) → median = 61.5.\n</reasoning>\nFinal Answer: 61.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -36 = 220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 8x = 256. Divide by 8: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 4 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 15/60 = 4.2500 hours. Distance = speed × time = 105 × 4.2500 = 446.25 km.\n</reasoning>\nFinal Answer: 446.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 606 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 606 × (1 + 10/100) = 606 × 1.1 = 666.6.\n</reasoning>\nFinal Answer: 666.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -676 + 221"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -676 and 221: -676 + 221 = -455.\n</reasoning>\nFinal Answer: -455"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 2 * 44 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×44=88, then 10+88-10=88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/3 / 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/3) ÷ (3/16) = (3/3) × (16/3) = 16/3.\n</reasoning>\nFinal Answer: 16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 12% of 152?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 152 = (12/100) × 152 = 18.24.\n</reasoning>\nFinal Answer: 18.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -20 = -774"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 26x = -754. Divide by 26: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -371 ÷ 210"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -371 by 210. -371 ÷ 210 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 37 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 37 + 56 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 140."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,140) = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 42. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 42² = π × 1764 ≈ 5541.7694.\n</reasoning>\nFinal Answer: 5541.7694"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -6 = 414"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 21x = 420. Divide by 21: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 36 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 29+1296-22=1303.\n</reasoning>\nFinal Answer: 1303"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 421 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 421 × (1 - 50/100) = 421 × 0.5 = 210.5.\n</reasoning>\nFinal Answer: 210.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 13 = 806.\n</reasoning>\nFinal Answer: 806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 29 = -256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 19x = -285. Divide by 19: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 96, 27, 24, 46, 95, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 24 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 47 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 47 × 9 = 211.5.\n</reasoning>\nFinal Answer: 211.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:18 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/18, so B = A × (18/5) = 49 × 18/5 = 176.4.\n</reasoning>\nFinal Answer: 176.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 163 km apart. Their speeds are 64 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+43=107 km/h. Time = 163/107 = 1.5234 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 529 mod -667"
},
{
"role": "assistant",
"content": "<reasoning>\n529 mod -667: 529 = -667 × -1 + -138, so remainder = -138.\n</reasoning>\nFinal Answer: -138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -26 = -348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 14x = -322. Divide by 14: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 20, and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 20 + 21 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 - 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/12 - 13/3. LCD = 6. Result = -7/2.\n</reasoning>\nFinal Answer: -7/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "247 is what percentage of 334?"
},
{
"role": "assistant",
"content": "<reasoning>\n(247/334) × 100 = 73.9521%.\n</reasoning>\nFinal Answer: 73.9521%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×15)/5 = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 7, 2, 41, 42, 43, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 23, 41, 42, 42, 43]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -767 ÷ 905"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -767 by 905. -767 ÷ 905 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+99) = 2×149 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -265 + 740"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -265 and 740: -265 + 740 = 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:4 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/4, so B = A × (4/23) = 78 × 4/23 = 13.5652.\n</reasoning>\nFinal Answer: 13.5652"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1172. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1172 × 12/100 = 140.64. Total = 1172 + 140.64 = 1312.64.\n</reasoning>\nFinal Answer: 1312.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 22, 74, 77, 29, 13, 28, 29, 44, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 426/10 = 42.6.\n</reasoning>\nFinal Answer: 42.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 835 - -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -108 from 835: 835 - -108 = 943.\n</reasoning>\nFinal Answer: 943"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 15, 16, 17, 18, 19] and B = [3, 6, 12, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 16, 18, 19].\n</reasoning>\nFinal Answer: [2, 4, 16, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 814 ÷ 407"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 814 by 407. 814 ÷ 407 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 22 + 42 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×22=572 and 42×18=756, then add: 1328.\n</reasoning>\nFinal Answer: 1328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 33 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 3x = 123. Divide by 3: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 26) * (13 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+26)=75, (13-18)=-5, then 75×-5=-375.\n</reasoning>\nFinal Answer: -375"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 * 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/18) × (9/15) = (162/270) = 3/5 after simplification.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 / 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/14) ÷ (9/13) = (17/14) × (13/9) = 221/126.\n</reasoning>\nFinal Answer: 221/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -464 ÷ -378"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -464 by -378. -464 ÷ -378 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 39 * 6 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×6=234, then 28+234-4=258.\n</reasoning>\nFinal Answer: 258"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 * 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/11) × (1/2) = (17/22) = 17/22 after simplification.\n</reasoning>\nFinal Answer: 17/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 145 km/h. How far does it travel in 2 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 10/60 = 2.1667 hours. Distance = speed × time = 145 × 2.1667 = 314.1667 km.\n</reasoning>\nFinal Answer: 314.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 26 = 702.0.\n</reasoning>\nFinal Answer: 702.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 3 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -26 = -614"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 14x = -588. Divide by 14: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 4 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 59/60 = 4.9833 hours. Distance = speed × time = 56 × 4.9833 = 279.0667 km.\n</reasoning>\nFinal Answer: 279.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 52, 64, 92, 72, 36, 40, 24, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 24 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 73, 33, 94, 55, 88, 49, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 33, 49, 55, 73, 80, 88, 94]. Middle value(s) → median = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 + 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/8 + 14/11. Common denominator = 88. Result = 123/88.\n</reasoning>\nFinal Answer: 123/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 74 km/h. How far does it travel in 1 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 51/60 = 1.8500 hours. Distance = speed × time = 74 × 1.8500 = 136.9 km.\n</reasoning>\nFinal Answer: 136.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 11, 42, 65, 67, 49, 82, 62, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 11 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 23 × -866"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 23 by -866: 23 × -866 = -19918.\n</reasoning>\nFinal Answer: -19918"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -28 = 162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 5x = 190. Divide by 5: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 120 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(120,26) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 / 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/5) ÷ (11/19) = (9/5) × (19/11) = 171/55.\n</reasoning>\nFinal Answer: 171/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 8 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(8+40) = 2×48 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -884 - -619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -619 from -884: -884 - -619 = -265.\n</reasoning>\nFinal Answer: -265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 1, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (41-1)×1 = 34 + 40 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 96, 43, 71, 36, 59, 91, 93, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 36, 43, 44, 59, 71, 91, 93, 96]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 356 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 356 × (1 - 25/100) = 356 × 0.75 = 267.0.\n</reasoning>\nFinal Answer: 267.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 11 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 21+121-8=134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -484 ÷ 533"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -484 by 533. -484 ÷ 533 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1637. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1637 × 18/100 = 294.66. Total = 1637 + 294.66 = 1931.66.\n</reasoning>\nFinal Answer: 1931.66"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 31 = 313"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 6x = 282. Divide by 6: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -13 = -256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 27x = -243. Divide by 27: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 37 = 67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 5x = 30. Divide by 5: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 588 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 588 × (1 + 30/100) = 588 × 1.3 = 764.4.\n</reasoning>\nFinal Answer: 764.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 6 + 41 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×6=300 and 41×7=287, then add: 587.\n</reasoning>\nFinal Answer: 587"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [32, 23, 34, 9, 92, 81, 38, 93, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 416/9 = 46.2222.\n</reasoning>\nFinal Answer: 46.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 30% of 681?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 681 = (30/100) × 681 = 204.3.\n</reasoning>\nFinal Answer: 204.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -763 ÷ 881"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -763 by 881. -763 ÷ 881 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -792 ÷ -222"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -792 by -222. -792 ÷ -222 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 932?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 932 = (15/100) × 932 = 139.8.\n</reasoning>\nFinal Answer: 139.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -26 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 10x = -240. Divide by 10: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 829 × 323"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 829 by 323: 829 × 323 = 267767.\n</reasoning>\nFinal Answer: 267767"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -27 = -407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 20x = -380. Divide by 20: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 1 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 15/60 = 1.2500 hours. Distance = speed × time = 54 × 1.2500 = 67.5 km.\n</reasoning>\nFinal Answer: 67.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 - 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/1 - 17/15. LCD = 15. Result = 193/15.\n</reasoning>\nFinal Answer: 193/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
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