messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49360 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49360 × 17 × 4 / 100 = 33564.8.\n</reasoning>\nFinal Answer: 33564.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 383 km apart. Their speeds are 92 km/h and 119 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+119=211 km/h. Time = 383/211 = 1.8152 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 35 + 47 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×35=1715 and 47×14=658, then add: 2373.\n</reasoning>\nFinal Answer: 2373"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -30 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 1x = -20. Divide by 1: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 21 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(21+35) = 2×56 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -33 = 435"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 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 rectangle with length 83 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 100 = 8300.\n</reasoning>\nFinal Answer: 8300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -31 = 329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 12x = 360. Divide by 12: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 80 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 80 × 37 = 2960.\n</reasoning>\nFinal Answer: 2960"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 8, 14, 15, 16, 19] and B = [1, 3, 5, 8, 12, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 19].\n</reasoning>\nFinal Answer: [8, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -928 × -554"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -928 by -554: -928 × -554 = 514112.\n</reasoning>\nFinal Answer: 514112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 50 = 1925.0.\n</reasoning>\nFinal Answer: 1925.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "154 is what percentage of 184?"
},
{
"role": "assistant",
"content": "<reasoning>\n(154/184) × 100 = 83.6957%.\n</reasoning>\nFinal Answer: 83.6957%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 8, 9, 11, 13, 18] and B = [3, 7, 11, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 6, 7, 8, 9, 13, 14, 18, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:25 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/25, so B = A × (25/5) = 12 × 25/5 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 169 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 169 × 1.8333 = 309.8333 km.\n</reasoning>\nFinal Answer: 309.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 62 apples and buys 55 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 62 + 55 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [74, 91, 85, 82, 65, 12, 77, 29, 90, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {74: 1, 91: 1, 85: 1, 82: 1, 65: 1, 12: 1, 77: 1, 29: 1, 90: 1, 9: 1}. Most frequent: [74, 91, 85, 82, 65, 12, 77, 29, 90, 9].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 21 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 41+441-41=441.\n</reasoning>\nFinal Answer: 441"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -7 = -727"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 18x = -720. Divide by 18: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:18 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/18, so B = A × (18/13) = 74 × 18/13 = 102.4615.\n</reasoning>\nFinal Answer: 102.4615"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "643 is what percentage of 743?"
},
{
"role": "assistant",
"content": "<reasoning>\n(643/743) × 100 = 86.541%.\n</reasoning>\nFinal Answer: 86.541%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 24 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 35+576-38=573.\n</reasoning>\nFinal Answer: 573"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+16) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 442 × -985"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 442 by -985: 442 × -985 = -435370.\n</reasoning>\nFinal Answer: -435370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 9, 10, 14, 15, 16] and B = [1, 3, 14, 17], 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": "Solve for x: 30x + -19 = 461"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 30x = 480. Divide by 30: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 90, 11, 61, 24, 65, 17, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 90: 1, 11: 1, 61: 1, 24: 1, 65: 1, 17: 1, 69: 1}. Most frequent: [51, 90, 11, 61, 24, 65, 17, 69].\n</reasoning>\nFinal Answer: [51, 90,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -18 = 60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 26x = 78. Divide by 26: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -28 = -676"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 27x = -648. Divide by 27: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -19 = 309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 8x = 328. Divide by 8: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 93, 31, 83, 76, 21, 35, 7, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 527/9 = 58.5556.\n</reasoning>\nFinal Answer: 58.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 5 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 40+25-24=41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 21 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(21+94) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 / 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/14) ÷ (5/8) = (18/14) × (8/5) = 72/35.\n</reasoning>\nFinal Answer: 72/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -39 = -139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 2x = -100. Divide by 2: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 81 × 418"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 81 by 418: 81 × 418 = 33858.\n</reasoning>\nFinal Answer: 33858"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 3 apples and buys 33 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 3 + 33 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 31, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 31 + 35 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -158 + 411"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -158 and 411: -158 + 411 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 54, 96, 81, 50, 76, 16, 55, 90, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 557/10 = 55.7.\n</reasoning>\nFinal Answer: 55.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 5% of 386?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 386 = (5/100) × 386 = 19.3.\n</reasoning>\nFinal Answer: 19.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 10, 14, 18, 19] and B = [1, 4, 6, 8, 11, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 10, 14, 18, 19].\n</reasoning>\nFinal Answer: [2, 10, 14, 18, 19]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 110 apples and buys 20 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 110 + 20 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 39 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 20+1521-30=1511.\n</reasoning>\nFinal Answer: 1511"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 18 * 25 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×25=450, then 17+450-35=432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:44 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/44, so B = A × (44/15) = 37 × 44/15 = 108.5333.\n</reasoning>\nFinal Answer: 108.5333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40245 at 12% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40245 × 12 × 3 / 100 = 14488.2.\n</reasoning>\nFinal Answer: 14488.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -14 = 466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 20x = 480. Divide by 20: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 47 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 47 × 47 = 2209.\n</reasoning>\nFinal Answer: 2209"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 135 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(135,174) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 64, 65, 86, 28, 48, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 441/7 = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 25) * (5 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+25)=47, (5-15)=-10, then 47×-10=-470.\n</reasoning>\nFinal Answer: -470"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (8)x + (16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×1×16 = 0. √discriminant = 0. x = (-(8) ± 0) / (2×1). Solutions: x = -4 (double root).\n</reasoning>\nFinal Answer: x = -4 (double root)"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 - 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/15 - 6/18. LCD = 15. Result = 8/15.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 421 - 694"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 694 from 421: 421 - 694 = -273.\n</reasoning>\nFinal Answer: -273"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 723 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 723 × (1 - 30/100) = 723 × 0.7 = 506.1.\n</reasoning>\nFinal Answer: 506.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "20 is what percentage of 39?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/39) × 100 = 51.2821%.\n</reasoning>\nFinal Answer: 51.2821%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 11 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 11 × 62 = 341.0.\n</reasoning>\nFinal Answer: 341.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -466 × -846"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -466 by -846: -466 × -846 = 394236.\n</reasoning>\nFinal Answer: 394236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 942 + 952"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 942 and 952: 942 + 952 = 1894.\n</reasoning>\nFinal Answer: 1894"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 3 * 27 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×27=81, then 3+81-21=63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 60% of 91?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 91 = (60/100) × 91 = 54.6.\n</reasoning>\nFinal Answer: 54.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 591 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 591 × (1 - 17/100) = 591 × 0.83 = 490.53.\n</reasoning>\nFinal Answer: 490.53"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 319 - -925"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -925 from 319: 319 - -925 = 1244.\n</reasoning>\nFinal Answer: 1244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 141 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 141 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 617 × 460"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 617 by 460: 617 × 460 = 283820.\n</reasoning>\nFinal Answer: 283820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 + 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/15 + 6/20. Common denominator = 30. Result = 17/30.\n</reasoning>\nFinal Answer: 17/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 545 × 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 545 by 45: 545 × 45 = 24525.\n</reasoning>\nFinal Answer: 24525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 10 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 10 × 69 = 690.\n</reasoning>\nFinal Answer: 690"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 152 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 152 × (1 - 25/100) = 152 × 0.75 = 114.0.\n</reasoning>\nFinal Answer: 114.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1957 at 15% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1957 × 15 × 1 / 100 = 293.55.\n</reasoning>\nFinal Answer: 293.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 60% of 39?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 39 = (60/100) × 39 = 23.4.\n</reasoning>\nFinal Answer: 23.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 36 = 126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 3x = 90. Divide by 3: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -20 = 532"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 12x = 552. Divide by 12: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 75 = 5775.\n</reasoning>\nFinal Answer: 5775"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 8] and B = [1, 3, 5, 10, 11, 16, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 8].\n</reasoning>\nFinal Answer: [7, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 199 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 199 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -558 - -347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -347 from -558: -558 - -347 = -211.\n</reasoning>\nFinal Answer: -211"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹802. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 802 × 5/100 = 40.1. Total = 802 + 40.1 = 842.1.\n</reasoning>\nFinal Answer: 842.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 59, 47, 27, 71, 94, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 27, 47, 51, 59, 71, 94]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 32, 47, 61, 83, 11, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 11, 29, 32, 47, 61, 83]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -5 = -325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 8x = -320. Divide by 8: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 23 * 9 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×9=207, then 42+207-39=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -153 × -964"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -153 by -964: -153 × -964 = 147492.\n</reasoning>\nFinal Answer: 147492"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 141 mod -169"
},
{
"role": "assistant",
"content": "<reasoning>\n141 mod -169: 141 = -169 × -1 + -28, so remainder = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 * 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/12) × (7/4) = (14/48) = 7/24 after simplification.\n</reasoning>\nFinal Answer: 7/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 16, 19] and B = [1, 4, 8, 12, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [16].\n</reasoning>\nFinal Answer: [16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 43 + 42 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×43=344 and 42×25=1050, then add: 1394.\n</reasoning>\nFinal Answer: 1394"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [63, 11, 95, 91, 78, 25, 74, 90, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 4 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 28) * (49 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+28)=35, (49-43)=6, then 35×6=210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (6)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×2×-80 = 676. √discriminant = 26. x = (-(6) ± 26) / (2×2). Solutions: x = 5 or x = -8.\n</reasoning>\nFinal Answer: x = 5 or x = -8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 8 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(8+90) = 2×98 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 165 and 179."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(165,179) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 16 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (16×2)/2 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29033 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29033 × 18 × 5 / 100 = 26129.7.\n</reasoning>\nFinal Answer: 26129.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "303 is what percentage of 321?"
},
{
"role": "assistant",
"content": "<reasoning>\n(303/321) × 100 = 94.3925%.\n</reasoning>\nFinal Answer: 94.3925%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 1 + 27 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×1=26 and 27×13=351, then add: 377.\n</reasoning>\nFinal Answer: 377"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 18) * (30 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+18)=21, (30-49)=-19, then 21×-19=-399.\n</reasoning>\nFinal Answer: -399"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [52, 36, 44, 93, 34, 86, 41, 95, 38, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {52: 1, 36: 1, 44: 1, 93: 1, 34: 1, 86: 1, 41: 1, 95: 1, 38: 1, 60: 1}. Most frequent: [52, 36, 44, 93, 34, 86, 41, 95, 38, 60].\n</reas... | easy | [
"statistics",
"mode"
] |
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