messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -576 + 26"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -576 and 26: -576 + 26 = -550.\n</reasoning>\nFinal Answer: -550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -5 = -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 6x = -12. Divide by 6: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 50 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 26x = 0. Divide by 26: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -301 × 981"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -301 by 981: -301 × 981 = -295281.\n</reasoning>\nFinal Answer: -295281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 84, 49, 8, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 26, 49, 73, 84]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 96, 37, 82, 1, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/6 = 44.6667.\n</reasoning>\nFinal Answer: 44.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 197 apples and buys 60 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 197 + 60 = 257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 37 * 6 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×6=222, then 45+222-3=264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 2, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (25-1)×2 = 2 + 48 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "List all positive factors of 69."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 69: factors are [1, 3, 23, 69].\n</reasoning>\nFinal Answer: [1, 3, 23, 69]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Calculate: -111 - -982"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -982 from -111: -111 - -982 = 871.\n</reasoning>\nFinal Answer: 871"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 42) * (4 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+42)=66, (4-23)=-19, then 66×-19=-1254.\n</reasoning>\nFinal Answer: -1254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -31 = -675"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 28x = -644. Divide by 28: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -49 = -493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 12x = -444. Divide by 12: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 23 = 1978.\n</reasoning>\nFinal Answer: 1978"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 43 = -789"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 26x = -832. Divide by 26: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 510 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 510 × (1 - 80/100) = 510 × 0.19999999999999996 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 / 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/9) ÷ (10/16) = (16/9) × (16/10) = 128/45.\n</reasoning>\nFinal Answer: 128/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/17 / 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/17) ÷ (8/6) = (20/17) × (6/8) = 15/17.\n</reasoning>\nFinal Answer: 15/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 89 = 534.\n</reasoning>\nFinal Answer: 534"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 636 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 636 × (1 + 15/100) = 636 × 1.15 = 731.4.\n</reasoning>\nFinal Answer: 731.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 7 apples and buys 24 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 7 + 24 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 41 = 305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 11x = 264. Divide by 11: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 17 + 21 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×17=51 and 21×17=357, then add: 408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 62, 91, 57, 15, 87, 31, 44, 67, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 15 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹2007. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2007 × 18/100 = 361.26. Total = 2007 + 361.26 = 2368.26.\n</reasoning>\nFinal Answer: 2368.26"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 22 * 45 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×45=990, then 49+990-26=1013.\n</reasoning>\nFinal Answer: 1013"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 9, 11, 12, 14, 16] and B = [3, 5, 7, 8, 9, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 11, 12, 14, 16].\n</reasoning>\nFinal Answer: [1, 11, 12, 14, 16]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 * 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/10) × (20/5) = (360/50) = 36/5 after simplification.\n</reasoning>\nFinal Answer: 36/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 * 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/11) × (10/7) = (60/77) = 60/77 after simplification.\n</reasoning>\nFinal Answer: 60/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -41 = -129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 8x = -88. Divide by 8: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -32 = -641"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 29x = -609. Divide by 29: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 2) * (9 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+2)=46, (9-37)=-28, then 46×-28=-1288.\n</reasoning>\nFinal Answer: -1288"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 222 mod 326"
},
{
"role": "assistant",
"content": "<reasoning>\n222 mod 326: 222 = 326 × 0 + 222, so remainder = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 10, 13, 15, 17] and B = [5, 9, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 * 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/18) × (7/4) = (84/72) = 7/6 after simplification.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 78 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 78 × (1 - 12/100) = 78 × 0.88 = 68.64.\n</reasoning>\nFinal Answer: 68.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 50 ÷ 281"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 50 by 281. 50 ÷ 281 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 147 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 147 × (1 - 7/100) = 147 × 0.9299999999999999 = 136.71.\n</reasoning>\nFinal Answer: 136.71"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 20, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 20 + 28 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 15 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 4x = 120. Divide by 4: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17568 at 2% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17568 × 2 × 9 / 100 = 3162.24.\n</reasoning>\nFinal Answer: 3162.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 799 ÷ -30"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 799 by -30. 799 ÷ -30 = -27 (integer division).\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [8, 14, 19] and B = [3, 4, 10, 11, 14, 16, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 38 * 17 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×17=646, then 45+646-22=669.\n</reasoning>\nFinal Answer: 669"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [10, 12, 19] and B = [12, 13, 14, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [10, 12, 13, 14, 15, 19].\n</reasoning>\nFinal Answer: [10, 12, 13, 14, 15, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 624 mod -397"
},
{
"role": "assistant",
"content": "<reasoning>\n624 mod -397: 624 = -397 × -2 + -170, so remainder = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/15) ÷ (7/2) = (6/15) × (2/7) = 4/35.\n</reasoning>\nFinal Answer: 4/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -187 ÷ -315"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -187 by -315. -187 ÷ -315 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -848 × 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -848 by 35: -848 × 35 = -29680.\n</reasoning>\nFinal Answer: -29680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 589 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 589 × (1 - 100/100) = 589 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 791 mod -957"
},
{
"role": "assistant",
"content": "<reasoning>\n791 mod -957: 791 = -957 × -1 + -166, so remainder = -166.\n</reasoning>\nFinal Answer: -166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 / 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/15) ÷ (3/3) = (14/15) × (3/3) = 14/15.\n</reasoning>\nFinal Answer: 14/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 18 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+18) × 13 = 234.0.\n</reasoning>\nFinal Answer: 234.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 420 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 420 × (1 - 20/100) = 420 × 0.8 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 26, 72, 62, 20, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 26, 36, 62, 72, 93]. Middle value(s) → median = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+53) = 2×127 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "383 is what percentage of 883?"
},
{
"role": "assistant",
"content": "<reasoning>\n(383/883) × 100 = 43.3749%.\n</reasoning>\nFinal Answer: 43.3749%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 121 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 121 × (1 - 17/100) = 121 × 0.83 = 100.43.\n</reasoning>\nFinal Answer: 100.43"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 2 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+2) × 26 = 169.0.\n</reasoning>\nFinal Answer: 169.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 224 mod 532"
},
{
"role": "assistant",
"content": "<reasoning>\n224 mod 532: 224 = 532 × 0 + 224, so remainder = 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 48 = -186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 18x = -234. Divide by 18: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [70, 35, 29, 41, 89, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 29, 35, 41, 70, 89]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 10 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 10 × 87 = 435.0.\n</reasoning>\nFinal Answer: 435.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 15, 27, 46, 52, 64, 99, 68, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 15: 1, 27: 1, 46: 1, 52: 1, 64: 2, 99: 1, 68: 1}. Most frequent: 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 23, 80, 14, 99, 31, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 14, 23, 31, 51, 80, 99]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 29, 6, 33, 77, 67, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 15, 29, 33, 41, 67, 77]. Middle value(s) → median = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 136 km/h. How far does it travel in 11 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 48/60 = 11.8000 hours. Distance = speed × time = 136 × 11.8000 = 1604.8 km.\n</reasoning>\nFinal Answer: 1604.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "204 is what percentage of 613?"
},
{
"role": "assistant",
"content": "<reasoning>\n(204/613) × 100 = 33.279%.\n</reasoning>\nFinal Answer: 33.279%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 42 = -579"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 23x = -621. Divide by 23: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 24, 14, 72, 4, 84, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 4 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 4) * (13 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+4)=6, (13-39)=-26, then 6×-26=-156.\n</reasoning>\nFinal Answer: -156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 11 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 11 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1086. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1086 × 18/100 = 195.48. Total = 1086 + 195.48 = 1281.48.\n</reasoning>\nFinal Answer: 1281.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -815 ÷ 594"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -815 by 594. -815 ÷ 594 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 6) * (23 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+6)=52, (23-47)=-24, then 52×-24=-1248.\n</reasoning>\nFinal Answer: -1248"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 4) * (44 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+4)=13, (44-41)=3, then 13×3=39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 22, 45, 35, 27, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 52 - 22 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:35 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/35, so B = A × (35/13) = 35 × 35/13 = 94.2308.\n</reasoning>\nFinal Answer: 94.2308"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 7 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 7 = 21 worker-days. New time = 21 / 17 = 1.2353 days.\n</reasoning>\nFinal Answer: 1.2353"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -492 ÷ 183"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -492 by 183. -492 ÷ 183 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 20) * (49 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+20)=24, (49-39)=10, then 24×10=240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -497 mod 267"
},
{
"role": "assistant",
"content": "<reasoning>\n-497 mod 267: -497 = 267 × -2 + 37, so remainder = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 * 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/18) × (13/4) = (65/72) = 65/72 after simplification.\n</reasoning>\nFinal Answer: 65/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 54, 72, 90, 108]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 18. Next term = 108 + 18 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+48) = 2×85 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 58 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 58 × 54 = 3132.\n</reasoning>\nFinal Answer: 3132"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 63, 32, 93, 86, 16, 73, 80, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 63: 1, 32: 1, 93: 1, 86: 1, 16: 2, 73: 1, 80: 1}. Most frequent: 16.\n</reasoning>\nFinal Answer: 16"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17484 at 20% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17484 × 20 × 10 / 100 = 34968.0.\n</reasoning>\nFinal Answer: 34968.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 34 + 39 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×34=952 and 39×38=1482, then add: 2434.\n</reasoning>\nFinal Answer: 2434"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -886 ÷ 783"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -886 by 783. -886 ÷ 783 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 70% of 851?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 851 = (70/100) × 851 = 595.7.\n</reasoning>\nFinal Answer: 595.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+48) = 2×102 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39455 at 17% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39455 × 17 × 5 / 100 = 33536.75.\n</reasoning>\nFinal Answer: 33536.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 185 and 142."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(185,142) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 11 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 47+121-21=147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 40 * 44 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×44=1760, then 50+1760-48=1762.\n</reasoning>\nFinal Answer: 1762"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 198 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 198 × (1 + 90/100) = 198 × 1.9 = 376.2.\n</reasoning>\nFinal Answer: 376.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -32 = -329"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 27x = -297. Divide by 27: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 9, 14, 16, 18] and B = [1, 3, 6, 7, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 7, 8, 9, 14, 15, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 4, 6... | medium | [
"set_theory"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.