messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [58, 17, 36, 93, 32, 6, 37, 10, 53, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 377/10 = 37.7.\n</reasoning>\nFinal Answer: 37.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31716 at 18% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31716 × 18 × 8 / 100 = 45671.04.\n</reasoning>\nFinal Answer: 45671.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 34 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 34 × 75 = 2550.\n</reasoning>\nFinal Answer: 2550"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 32 = 1352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 30x = 1320. Divide by 30: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 39, 55, 32, 21, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 338/6 = 56.3333.\n</reasoning>\nFinal Answer: 56.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [5, 14, 16] and B = [4, 6, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 14, 16, 17].\n</reasoning>\nFinal Answer: [4, 5, 6, 14, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 * 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/8) × (12/18) = (84/144) = 7/12 after simplification.\n</reasoning>\nFinal Answer: 7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 15 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+15) × 13 = 338.0.\n</reasoning>\nFinal Answer: 338.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -618 ÷ 855"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -618 by 855. -618 ÷ 855 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -38 - 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 128 from -38: -38 - 128 = -166.\n</reasoning>\nFinal Answer: -166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 45 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 34+2025-39=2020.\n</reasoning>\nFinal Answer: 2020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5] and B = [5, 6, 7, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3].\n</reasoning>\nFinal Answer: [2, 3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [88, 51, 8, 47, 86, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 8 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 235 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 235 × (1 + 35/100) = 235 × 1.35 = 317.25.\n</reasoning>\nFinal Answer: 317.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 24 = 6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 18x = -18. Divide by 18: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 28 = -296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 9x = -324. Divide by 9: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -416 × 786"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -416 by 786: -416 × 786 = -326976.\n</reasoning>\nFinal Answer: -326976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 + 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/10 + 2/3. Common denominator = 30. Result = 71/30.\n</reasoning>\nFinal Answer: 71/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 575 + 57"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 575 and 57: 575 + 57 = 632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 44 + 19 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×44=572 and 19×5=95, then add: 667.\n</reasoning>\nFinal Answer: 667"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 9, 3, 46, 37, 95, 67, 36, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 3 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 0 = -136"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 17x = -136. Divide by 17: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -20 = 673"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 21x = 693. Divide by 21: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -617 mod -191"
},
{
"role": "assistant",
"content": "<reasoning>\n-617 mod -191: -617 = -191 × 3 + -44, so remainder = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 169 - 722"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 722 from 169: 169 - 722 = -553.\n</reasoning>\nFinal Answer: -553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 47 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 9x = -135. Divide by 9: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:16 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/16, so B = A × (16/36) = 84 × 16/36 = 37.3333.\n</reasoning>\nFinal Answer: 37.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "85 is what percentage of 134?"
},
{
"role": "assistant",
"content": "<reasoning>\n(85/134) × 100 = 63.4328%.\n</reasoning>\nFinal Answer: 63.4328%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -5 = -327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 7x = -322. Divide by 7: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 24 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 24 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -36 = 815"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 23x = 851. Divide by 23: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 61 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 61 × 43 = 1311.5.\n</reasoning>\nFinal Answer: 1311.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 355 × 964"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 355 by 964: 355 × 964 = 342220.\n</reasoning>\nFinal Answer: 342220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 757 ÷ -727"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 757 by -727. 757 ÷ -727 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 44) * (50 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+44)=71, (50-12)=38, then 71×38=2698.\n</reasoning>\nFinal Answer: 2698"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 8 = -356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 14x = -364. Divide by 14: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -15 = 489"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 14x = 504. Divide by 14: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -565 + -46"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -565 and -46: -565 + -46 = -611.\n</reasoning>\nFinal Answer: -611"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -798 × -979"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -798 by -979: -798 × -979 = 781242.\n</reasoning>\nFinal Answer: 781242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 + 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/19 + 8/15. Common denominator = 285. Result = 212/285.\n</reasoning>\nFinal Answer: 212/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2264. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2264 × 18/100 = 407.52. Total = 2264 + 407.52 = 2671.52.\n</reasoning>\nFinal Answer: 2671.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-56)x + (196) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -56² - 4×4×196 = 0. √discriminant = 0. x = (-(-56) ± 0) / (2×4). Solutions: x = 7 (double root).\n</reasoning>\nFinal Answer: x = 7 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:34 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/34, so B = A × (34/32) = 84 × 34/32 = 89.25.\n</reasoning>\nFinal Answer: 89.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+65) = 2×152 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 139 apples and buys 90 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 139 + 90 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/10 + 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/10 + 7/1. Common denominator = 10. Result = 77/10.\n</reasoning>\nFinal Answer: 77/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 24, 28, 11, 63, 67, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 323/7 = 46.1429.\n</reasoning>\nFinal Answer: 46.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 26) * (3 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+26)=49, (3-1)=2, then 49×2=98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 469 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 469 × (1 + 70/100) = 469 × 1.7 = 797.3.\n</reasoning>\nFinal Answer: 797.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -23 = -147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 4x = -124. Divide by 4: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -172 + -725"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -172 and -725: -172 + -725 = -897.\n</reasoning>\nFinal Answer: -897"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:50 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/50, so B = A × (50/14) = 6 × 50/14 = 21.4286.\n</reasoning>\nFinal Answer: 21.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1591. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1591 × 5/100 = 79.55. Total = 1591 + 79.55 = 1670.55.\n</reasoning>\nFinal Answer: 1670.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 20 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 7+400-6=401.\n</reasoning>\nFinal Answer: 401"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 96 km/h. How far does it travel in 6 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 39/60 = 6.6500 hours. Distance = speed × time = 96 × 6.6500 = 638.4 km.\n</reasoning>\nFinal Answer: 638.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 7, 12, 13, 18, 19] and B = [3, 5, 10, 11, 13, 15, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 7, 12, 18].\n</reasoning>\nFinal Answer: [6, 7, 12, 18]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 26 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 32 * 20 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×20=640, then 37+640-17=660.\n</reasoning>\nFinal Answer: 660"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:2 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/2, so B = A × (2/48) = 17 × 2/48 = 0.7083.\n</reasoning>\nFinal Answer: 0.7083"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3493. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3493 × 18/100 = 628.74. Total = 3493 + 628.74 = 4121.74.\n</reasoning>\nFinal Answer: 4121.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -520 ÷ -464"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -520 by -464. -520 ÷ -464 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 100 km apart. Their speeds are 84 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+58=142 km/h. Time = 100/142 = 0.7042 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 34, 36, 18, 87, 21, 25, 23, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 34: 1, 36: 1, 18: 1, 87: 1, 21: 1, 25: 1, 23: 1, 73: 1}. Most frequent: [58, 34, 36, 18, 87, 21, 25, 23, 73].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 51, 60, 69, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 9. Next term = 78 + 9 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 24 = 648"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 26x = 624. Divide by 26: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 7 * 16 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×16=112, then 8+112-11=109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 37, 85, 63, 58, 85, 52, 91, 82, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 37 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 73, 74, 94, 4, 87, 70, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 493/8 = 61.625.\n</reasoning>\nFinal Answer: 61.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -26 = 114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 28x = 140. Divide by 28: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×35)/7 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 159 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(159,120) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 9 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 19+81-1=99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:13 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/13, so B = A × (13/12) = 4 × 13/12 = 4.3333.\n</reasoning>\nFinal Answer: 4.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 79, 96, 97, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [47, 56, 79, 96, 97]. Middle value(s) → median = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 * 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/18) × (6/14) = (66/252) = 11/42 after simplification.\n</reasoning>\nFinal Answer: 11/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×3)/1 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 8 = -72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 2x = -80. Divide by 2: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 94 = 6298.\n</reasoning>\nFinal Answer: 6298"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 3, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (18-1)×3 = 41 + 51 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:13 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/13, so B = A × (13/18) = 72 × 13/18 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 * 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/4) × (17/1) = (323/4) = 323/4 after simplification.\n</reasoning>\nFinal Answer: 323/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 - 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/15 - 13/3. LCD = 3. Result = -10/3.\n</reasoning>\nFinal Answer: -10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 987 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 987 × (1 + 12/100) = 987 × 1.12 = 1105.44.\n</reasoning>\nFinal Answer: 1105.44"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:7 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/7, so B = A × (7/25) = 35 × 7/25 = 9.8.\n</reasoning>\nFinal Answer: 9.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -591 ÷ 433"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -591 by 433. -591 ÷ 433 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 1 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+1) × 28 = 672.0.\n</reasoning>\nFinal Answer: 672.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 33 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 4+1089-3=1090.\n</reasoning>\nFinal Answer: 1090"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 678 × 667"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 678 by 667: 678 × 667 = 452226.\n</reasoning>\nFinal Answer: 452226"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 4, 42, 31, 1, 82, 25, 43, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 335/9 = 37.2222.\n</reasoning>\nFinal Answer: 37.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 265 km apart. Their speeds are 47 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+103=150 km/h. Time = 265/150 = 1.7667 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [61, 76, 42, 7, 97, 29, 64, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 7 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 39 * 9 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×9=351, then 22+351-8=365.\n</reasoning>\nFinal Answer: 365"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 295."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 295 by smallest primes repeatedly: 295 = 5 × 59.\n</reasoning>\nFinal Answer: 5 × 59"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22876 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22876 × 13 × 1 / 100 = 2973.88.\n</reasoning>\nFinal Answer: 2973.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 26 = 250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 14x = 224. Divide by 14: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 30, 34, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 30 + 34 + 38 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 736 km apart. Their speeds are 89 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+67=156 km/h. Time = 736/156 = 4.7179 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 15 * 11 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×11=165, then 39+165-44=160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 704 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 704 × (1 + 75/100) = 704 × 1.75 = 1232.0.\n</reasoning>\nFinal Answer: 1232.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 693 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 693 × (1 - 30/100) = 693 × 0.7 = 485.1.\n</reasoning>\nFinal Answer: 485.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
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