messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 21x + 29 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 21x = 21. Divide by 21: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 38 * 46 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×46=1748, then 34+1748-21=1761.\n</reasoning>\nFinal Answer: 1761"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 600 km apart. Their speeds are 70 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+51=121 km/h. Time = 600/121 = 4.9587 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 37 * 26 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×26=962, then 31+962-46=947.\n</reasoning>\nFinal Answer: 947"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 11 * 21 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×21=231, then 23+231-11=243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 8, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (39-1)×8 = 17 + 304 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 15 apples and buys 66 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 15 + 66 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -148 mod 588"
},
{
"role": "assistant",
"content": "<reasoning>\n-148 mod 588: -148 = 588 × -1 + 440, so remainder = 440.\n</reasoning>\nFinal Answer: 440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 90, 11, 29, 82, 54, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 1 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24004 at 6% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24004 × 6 × 7 / 100 = 10081.68.\n</reasoning>\nFinal Answer: 10081.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 38) * (13 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+38)=63, (13-47)=-34, then 63×-34=-2142.\n</reasoning>\nFinal Answer: -2142"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:14 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/14, so B = A × (14/19) = 38 × 14/19 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 337 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 337 × (1 - 90/100) = 337 × 0.09999999999999998 = 33.7.\n</reasoning>\nFinal Answer: 33.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 + 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/8 + 14/5. Common denominator = 20. Result = 101/20.\n</reasoning>\nFinal Answer: 101/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 18 + 29 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×18=72 and 29×45=1305, then add: 1377.\n</reasoning>\nFinal Answer: 1377"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 - 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/6 - 19/8. LCD = 24. Result = 11/24.\n</reasoning>\nFinal Answer: 11/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 9, 14, 15, 17] and B = [1, 4, 6, 7, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 6, 7, 15].\n</reasoning>\nFinal Answer: [1, 6, 7, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:4 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/4, so B = A × (4/30) = 83 × 4/30 = 11.0667.\n</reasoning>\nFinal Answer: 11.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 * 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/16) × (20/9) = (240/144) = 5/3 after simplification.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 - 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/17 - 14/5. LCD = 85. Result = -218/85.\n</reasoning>\nFinal Answer: -218/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 909 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 909 × (1 - 100/100) = 909 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -17 = -213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 4x = -196. Divide by 4: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 / 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/6) ÷ (14/8) = (11/6) × (8/14) = 22/21.\n</reasoning>\nFinal Answer: 22/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 232 mod 233"
},
{
"role": "assistant",
"content": "<reasoning>\n232 mod 233: 232 = 233 × 0 + 232, so remainder = 232.\n</reasoning>\nFinal Answer: 232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 10 = 930.\n</reasoning>\nFinal Answer: 930"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 18 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 3x = -69. Divide by 3: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 169 apples and buys 108 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 169 + 108 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1219. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1219 × 5/100 = 60.95. Total = 1219 + 60.95 = 1279.95.\n</reasoning>\nFinal Answer: 1279.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/6 / 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/6) ÷ (9/8) = (8/6) × (8/9) = 32/27.\n</reasoning>\nFinal Answer: 32/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 186 apples and buys 118 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 186 + 118 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 10, 13, 14, 17] and B = [2, 7, 11, 13, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 13].\n</reasoning>\nFinal Answer: [2, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40141 at 12% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40141 × 12 × 2 / 100 = 9633.84.\n</reasoning>\nFinal Answer: 9633.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 61 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 61 × 87 = 2653.5.\n</reasoning>\nFinal Answer: 2653.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 6, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (48-1)×6 = 10 + 282 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 + 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/9 + 15/11. Common denominator = 99. Result = 355/99.\n</reasoning>\nFinal Answer: 355/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -761 ÷ -845"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -761 by -845. -761 ÷ -845 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 67, 15, 8, 21, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 15, 21, 42, 67, 87]. Middle value(s) → median = 31.5.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14578 at 5% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14578 × 5 × 6 / 100 = 4373.4.\n</reasoning>\nFinal Answer: 4373.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 35, 93, 34, 45, 16, 87, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 35: 1, 93: 1, 34: 1, 45: 1, 16: 1, 87: 1, 91: 1}. Most frequent: [6, 35, 93, 34, 45, 16, 87, 91].\n</reasoning>\nFinal Answer: [6, 35, 93,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 16 + 13 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×16=96 and 13×46=598, then add: 694.\n</reasoning>\nFinal Answer: 694"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -564 × 901"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -564 by 901: -564 × 901 = -508164.\n</reasoning>\nFinal Answer: -508164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 393?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 393 = (15/100) × 393 = 58.95.\n</reasoning>\nFinal Answer: 58.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 10 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 12/60 = 10.2000 hours. Distance = speed × time = 180 × 10.2000 = 1836.0 km.\n</reasoning>\nFinal Answer: 1836.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 9) * (16 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+9)=54, (16-5)=11, then 54×11=594.\n</reasoning>\nFinal Answer: 594"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 382 × -504"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 382 by -504: 382 × -504 = -192528.\n</reasoning>\nFinal Answer: -192528"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:7 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/7, so B = A × (7/50) = 43 × 7/50 = 6.02.\n</reasoning>\nFinal Answer: 6.02"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 13 = -141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 22x = -154. Divide by 22: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 18 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 18 × 36 = 648.\n</reasoning>\nFinal Answer: 648"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:32 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/32, so B = A × (32/45) = 90 × 32/45 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 21 = 541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 20x = 520. Divide by 20: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -26 ÷ 854"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -26 by 854. -26 ÷ 854 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1493. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1493 × 12/100 = 179.16. Total = 1493 + 179.16 = 1672.16.\n</reasoning>\nFinal Answer: 1672.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -920 × 609"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -920 by 609: -920 × 609 = -560280.\n</reasoning>\nFinal Answer: -560280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 30 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 30 = 270 worker-days. New time = 270 / 4 = 67.5 days.\n</reasoning>\nFinal Answer: 67.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 6 = -141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 21x = -147. Divide by 21: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find log base 2 of 32."
},
{
"role": "assistant",
"content": "<reasoning>\nlog_2(32) = 5 because 2^5 = 32.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"logarithms"
] |
[
{
"role": "user",
"content": "Decrease 1000 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 1000 × (1 - 40/100) = 1000 × 0.6 = 600.0.\n</reasoning>\nFinal Answer: 600.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -959 ÷ 934"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -959 by 934. -959 ÷ 934 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 14 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+14) × 9 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 924 - -529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -529 from 924: 924 - -529 = 1453.\n</reasoning>\nFinal Answer: 1453"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 34, 18, 45, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 45 - 18 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 779 × 322"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 779 by 322: 779 × 322 = 250838.\n</reasoning>\nFinal Answer: 250838"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 88, 82, 69, 57, 80, 1, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 88: 1, 82: 1, 69: 1, 57: 1, 80: 1, 1: 1, 62: 1}. Most frequent: [93, 88, 82, 69, 57, 80, 1, 62].\n</reasoning>\nFinal Answer: [93, 88, 82... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 21, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 21 + 23 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 95 = 855.\n</reasoning>\nFinal Answer: 855"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -8 = -264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 16x = -256. Divide by 16: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "88 is what percentage of 342?"
},
{
"role": "assistant",
"content": "<reasoning>\n(88/342) × 100 = 25.731%.\n</reasoning>\nFinal Answer: 25.731%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 826 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 826 × (1 + 5/100) = 826 × 1.05 = 867.3.\n</reasoning>\nFinal Answer: 867.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -575 mod -463"
},
{
"role": "assistant",
"content": "<reasoning>\n-575 mod -463: -575 = -463 × 1 + -112, so remainder = -112.\n</reasoning>\nFinal Answer: -112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 9, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (31-1)×9 = 42 + 270 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×11)/1 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 - 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/6 - 9/1. LCD = 1. Result = -7.\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 51, 91, 43, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 258/5 = 51.6.\n</reasoning>\nFinal Answer: 51.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 7, 9, 15] and B = [2, 3, 4, 6, 8, 14, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 5, 6, 7, 8, 9, 14, 15, 16, 18].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 23 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 23 × 77 = 1771.\n</reasoning>\nFinal Answer: 1771"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 + 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/5 + 12/1. Common denominator = 1. Result = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 999 km apart. Their speeds are 75 km/h and 77 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+77=152 km/h. Time = 999/152 = 6.5724 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 24, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 24 + 31 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "230 is what percentage of 258?"
},
{
"role": "assistant",
"content": "<reasoning>\n(230/258) × 100 = 89.1473%.\n</reasoning>\nFinal Answer: 89.1473%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 61 = 5490.\n</reasoning>\nFinal Answer: 5490"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4466. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4466 × 12/100 = 535.92. Total = 4466 + 535.92 = 5001.92.\n</reasoning>\nFinal Answer: 5001.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 14, 16] and B = [4, 6, 11, 13, 14, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 14].\n</reasoning>\nFinal Answer: [4, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 15 = 171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 13x = 156. Divide by 13: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -45 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 23x = 138. Divide by 23: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -24 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 4x = 132. Divide by 4: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 53, 17, 27, 13, 3, 70, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 3 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 * 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/10) × (20/18) = (400/180) = 20/9 after simplification.\n</reasoning>\nFinal Answer: 20/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 26 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 11+676-28=659.\n</reasoning>\nFinal Answer: 659"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 8, 23, 37, 11, 89, 17, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 212/8 = 26.5.\n</reasoning>\nFinal Answer: 26.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 22, 32, 42, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 10. Next term = 52 + 10 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 880 - 668"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 668 from 880: 880 - 668 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 91 and 157."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(91,157) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "31 is what percentage of 755?"
},
{
"role": "assistant",
"content": "<reasoning>\n(31/755) × 100 = 4.106%.\n</reasoning>\nFinal Answer: 4.106%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "237 is what percentage of 976?"
},
{
"role": "assistant",
"content": "<reasoning>\n(237/976) × 100 = 24.2828%.\n</reasoning>\nFinal Answer: 24.2828%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 46 = 2806.\n</reasoning>\nFinal Answer: 2806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 50 = 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 1x = -13. Divide by 1: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 599 - -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -344 from 599: 599 - -344 = 943.\n</reasoning>\nFinal Answer: 943"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 6, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (47-1)×6 = 37 + 276 = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 61, 63, 68, 69, 57, 2, 13, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 2 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 5, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (15-1)×5 = 17 + 70 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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