messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "440 is what percentage of 646?"
},
{
"role": "assistant",
"content": "<reasoning>\n(440/646) × 100 = 68.1115%.\n</reasoning>\nFinal Answer: 68.1115%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -453 ÷ -627"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -453 by -627. -453 ÷ -627 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 8, 92, 100, 68, 7, 93, 71, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 2 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 10, 8, 90, 96, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 8 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 16] and B = [2, 3, 4, 10, 12, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 21 + 50 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×21=210 and 50×16=800, then add: 1010.\n</reasoning>\nFinal Answer: 1010"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 89, 20, 22, 75, 51, 36, 85, 14, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 20, 22, 33, 36, 49, 51, 75, 85, 89]. Middle value(s) → median = 42.5.\n</reasoning>\nFinal Answer: 42.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:31 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/31, so B = A × (31/28) = 3 × 31/28 = 3.3214.\n</reasoning>\nFinal Answer: 3.3214"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 86, 67, 36, 42, 55, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 350/7 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 74 - 787"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 787 from 74: 74 - 787 = -713.\n</reasoning>\nFinal Answer: -713"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 * 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/2) × (11/16) = (44/32) = 11/8 after simplification.\n</reasoning>\nFinal Answer: 11/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1809. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1809 × 5/100 = 90.45. Total = 1809 + 90.45 = 1899.45.\n</reasoning>\nFinal Answer: 1899.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 100% of 475?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 475 = (100/100) × 475 = 475.0.\n</reasoning>\nFinal Answer: 475.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -287 × 263"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -287 by 263: -287 × 263 = -75481.\n</reasoning>\nFinal Answer: -75481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -4 = -100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 3x = -96. Divide by 3: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 3, 46, 52, 24, 17, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 195/7 = 27.8571.\n</reasoning>\nFinal Answer: 27.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 35 apples and buys 88 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 35 + 88 = 123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 41) * (42 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+41)=45, (42-7)=35, then 45×35=1575.\n</reasoning>\nFinal Answer: 1575"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:37 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/37, so B = A × (37/40) = 87 × 37/40 = 80.475.\n</reasoning>\nFinal Answer: 80.475"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19683 at 15% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19683 × 15 × 10 / 100 = 29524.5.\n</reasoning>\nFinal Answer: 29524.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 8 = 255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 19x = 247. Divide by 19: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 48 * 43 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×43=2064, then 41+2064-2=2103.\n</reasoning>\nFinal Answer: 2103"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 85, 9, 78, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 85: 1, 9: 1, 78: 1, 34: 1}. Most frequent: [50, 85, 9, 78, 34].\n</reasoning>\nFinal Answer: [50, 85, 9, 78, 34]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 + 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/17 + 6/15. Common denominator = 85. Result = 44/85.\n</reasoning>\nFinal Answer: 44/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [96, 74, 90, 10, 88, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 435/6 = 72.5.\n</reasoning>\nFinal Answer: 72.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 64 and 127."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,127) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 348 - -962"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -962 from 348: 348 - -962 = 1310.\n</reasoning>\nFinal Answer: 1310"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 364 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 364 × (1 + 17/100) = 364 × 1.17 = 425.88.\n</reasoning>\nFinal Answer: 425.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 10) * (4 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+10)=11, (4-38)=-34, then 11×-34=-374.\n</reasoning>\nFinal Answer: -374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -7 = 213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 20x = 220. Divide by 20: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 700 mod 289"
},
{
"role": "assistant",
"content": "<reasoning>\n700 mod 289: 700 = 289 × 2 + 122, so remainder = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 1 + 7 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×1=25 and 7×12=84, then add: 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 138 km/h. How far does it travel in 1 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 14/60 = 1.2333 hours. Distance = speed × time = 138 × 1.2333 = 170.2 km.\n</reasoning>\nFinal Answer: 170.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 18 = -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 6x = -138. Divide by 6: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "126 is what percentage of 837?"
},
{
"role": "assistant",
"content": "<reasoning>\n(126/837) × 100 = 15.0538%.\n</reasoning>\nFinal Answer: 15.0538%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "388 is what percentage of 655?"
},
{
"role": "assistant",
"content": "<reasoning>\n(388/655) × 100 = 59.2366%.\n</reasoning>\nFinal Answer: 59.2366%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 25 = -425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 30x = -450. Divide by 30: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 49 = 349"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 12x = 300. Divide by 12: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "762 is what percentage of 972?"
},
{
"role": "assistant",
"content": "<reasoning>\n(762/972) × 100 = 78.3951%.\n</reasoning>\nFinal Answer: 78.3951%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:35 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/35, so B = A × (35/30) = 97 × 35/30 = 113.1667.\n</reasoning>\nFinal Answer: 113.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 99, 62, 74, 21, 85, 41, 31, 7, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 532/10 = 53.2.\n</reasoning>\nFinal Answer: 53.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 66, 37, 94, 76, 87, 82, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 32 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2601 at 7% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2601 × 7 × 6 / 100 = 1092.42.\n</reasoning>\nFinal Answer: 1092.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 88, 56, 73, 23, 78, 25, 19, 35, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 19 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 5, 63, 47, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 5 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 904 + -805"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 904 and -805: 904 + -805 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23264 at 6% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23264 × 6 × 5 / 100 = 6979.2.\n</reasoning>\nFinal Answer: 6979.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 19, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (25-1)×19 = 8 + 456 = 464.\n</reasoning>\nFinal Answer: 464"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 14, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (12-1)×14 = 47 + 154 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 45 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+45) × 48 = 1920.0.\n</reasoning>\nFinal Answer: 1920.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 20, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (48-1)×20 = 35 + 940 = 975.\n</reasoning>\nFinal Answer: 975"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -379 - -521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -521 from -379: -379 - -521 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 185 km/h. How far does it travel in 4 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 18/60 = 4.3000 hours. Distance = speed × time = 185 × 4.3000 = 795.5 km.\n</reasoning>\nFinal Answer: 795.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 24, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 24 + 34 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 7) * (18 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+7)=10, (18-36)=-18, then 10×-18=-180.\n</reasoning>\nFinal Answer: -180"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -31 × -415"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -31 by -415: -31 × -415 = 12865.\n</reasoning>\nFinal Answer: 12865"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -13 = 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 11x = 462. Divide by 11: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 30 = 870"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 21x = 840. Divide by 21: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -947 - -419"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -419 from -947: -947 - -419 = -528.\n</reasoning>\nFinal Answer: -528"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:6 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/6, so B = A × (6/25) = 25 × 6/25 = 6.0.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:10 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/10, so B = A × (10/31) = 90 × 10/31 = 29.0323.\n</reasoning>\nFinal Answer: 29.0323"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 39, 55, 71, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 16. Next term = 87 + 16 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 296 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 296 × (1 - 75/100) = 296 × 0.25 = 74.0.\n</reasoning>\nFinal Answer: 74.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 44 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 4x = -12. Divide by 4: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 15, 17, 19] and B = [2, 7, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 11 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 7+121-11=117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 990 ÷ 657"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 990 by 657. 990 ÷ 657 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [32, 84, 24, 31, 64, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 305/6 = 50.8333.\n</reasoning>\nFinal Answer: 50.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 73 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(73,36) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 44 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+44) × 24 = 732.0.\n</reasoning>\nFinal Answer: 732.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 10, 11, 18, 19] and B = [1, 8, 9, 11, 12, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 8, 9, 10, 11, 12, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 38 = 684.\n</reasoning>\nFinal Answer: 684"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [77, 83, 89, 7, 17, 18, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 17, 18, 32, 77, 83, 89]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 63 apples and buys 158 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 63 + 158 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 65% of 496?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 496 = (65/100) × 496 = 322.4.\n</reasoning>\nFinal Answer: 322.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -31 = 167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 9x = 198. Divide by 9: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:27 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/27, so B = A × (27/31) = 55 × 27/31 = 47.9032.\n</reasoning>\nFinal Answer: 47.9032"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -710 × -257"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -710 by -257: -710 × -257 = 182470.\n</reasoning>\nFinal Answer: 182470"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 416 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 416 × (1 + 15/100) = 416 × 1.15 = 478.4.\n</reasoning>\nFinal Answer: 478.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 35 + 2 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×35=385 and 2×28=56, then add: 441.\n</reasoning>\nFinal Answer: 441"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 35% of 359?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 359 = (35/100) × 359 = 125.65.\n</reasoning>\nFinal Answer: 125.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 8, 12, 13, 18] and B = [2, 8, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 8, 12, 13, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 8, 12, 13, 17, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -30 = 168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 11x = 198. Divide by 11: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 / 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/16) ÷ (5/17) = (15/16) × (17/5) = 51/16.\n</reasoning>\nFinal Answer: 51/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -247 + 163"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -247 and 163: -247 + 163 = -84.\n</reasoning>\nFinal Answer: -84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:40 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/40, so B = A × (40/32) = 7 × 40/32 = 8.75.\n</reasoning>\nFinal Answer: 8.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 22) * (28 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+22)=44, (28-37)=-9, then 44×-9=-396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 911?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 911 = (15/100) × 911 = 136.65.\n</reasoning>\nFinal Answer: 136.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 421 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 421 × (1 - 45/100) = 421 × 0.55 = 231.55.\n</reasoning>\nFinal Answer: 231.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×35)/1 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×26)/2 = 598.\n</reasoning>\nFinal Answer: 598"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:20 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/20, so B = A × (20/6) = 91 × 20/6 = 303.3333.\n</reasoning>\nFinal Answer: 303.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 24 + 19 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×24=1032 and 19×50=950, then add: 1982.\n</reasoning>\nFinal Answer: 1982"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 6] and B = [5, 6, 9, 13, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6].\n</reasoning>\nFinal Answer: [6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 1 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 4x = 68. Divide by 4: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 177 apples and buys 193 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 177 + 193 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 30 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 30 = 90 worker-days. New time = 90 / 20 = 4.5 days.\n</reasoning>\nFinal Answer: 4.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 + 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/14 + 11/10. Common denominator = 70. Result = 86/35.\n</reasoning>\nFinal Answer: 86/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 302 ÷ -747"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 302 by -747. 302 ÷ -747 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -714 mod 686"
},
{
"role": "assistant",
"content": "<reasoning>\n-714 mod 686: -714 = 686 × -2 + 658, so remainder = 658.\n</reasoning>\nFinal Answer: 658"
}
] | medium | [
"arithmetic",
"computation"
] |
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