messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 80% of 880?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 880 = (80/100) × 880 = 704.0.\n</reasoning>\nFinal Answer: 704.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:36 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/36, so B = A × (36/10) = 98 × 36/10 = 352.8.\n</reasoning>\nFinal Answer: 352.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:31 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/31, so B = A × (31/4) = 61 × 31/4 = 472.75.\n</reasoning>\nFinal Answer: 472.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:44 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/44, so B = A × (44/39) = 2 × 44/39 = 2.2564.\n</reasoning>\nFinal Answer: 2.2564"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 66 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 66 × 53 = 1749.0.\n</reasoning>\nFinal Answer: 1749.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:2 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/2, so B = A × (2/29) = 16 × 2/29 = 1.1034.\n</reasoning>\nFinal Answer: 1.1034"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -12 = -117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 3x = -105. Divide by 3: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-2)x + (-24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×1×-24 = 100. √discriminant = 10. x = (-(-2) ± 10) / (2×1). Solutions: x = -4 or x = 6.\n</reasoning>\nFinal Answer: x = -4 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 * 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/7) × (2/3) = (38/21) = 38/21 after simplification.\n</reasoning>\nFinal Answer: 38/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 641 + -995"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 641 and -995: 641 + -995 = -354.\n</reasoning>\nFinal Answer: -354"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 21 + 25 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×21=882 and 25×45=1125, then add: 2007.\n</reasoning>\nFinal Answer: 2007"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 30 = -338"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 8x = -368. Divide by 8: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 40, 42, 44, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 2. Next term = 46 + 2 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -854 + -247"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -854 and -247: -854 + -247 = -1101.\n</reasoning>\nFinal Answer: -1101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 35 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 2x = -68. Divide by 2: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:11 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/11, so B = A × (11/25) = 50 × 11/25 = 22.0.\n</reasoning>\nFinal Answer: 22.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:36 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/36, so B = A × (36/4) = 98 × 36/4 = 882.0.\n</reasoning>\nFinal Answer: 882.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49508 at 20% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49508 × 20 × 2 / 100 = 19803.2.\n</reasoning>\nFinal Answer: 19803.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 7% of 543?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 543 = (7/100) × 543 = 38.01.\n</reasoning>\nFinal Answer: 38.01"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 + 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/7 + 13/14. Common denominator = 14. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 26 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 26 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 39 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 39 × 47 = 1833.\n</reasoning>\nFinal Answer: 1833"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 69 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 69 × 55 = 3795.\n</reasoning>\nFinal Answer: 3795"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 14 = -256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 6x = -270. Divide by 6: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 8, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (20-1)×8 = 7 + 152 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 30 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 30 = 60 worker-days. New time = 60 / 11 = 5.4545 days.\n</reasoning>\nFinal Answer: 5.4545"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [8, 99, 27, 67, 8, 23, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 251/7 = 35.8571.\n</reasoning>\nFinal Answer: 35.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 12) * (7 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+12)=61, (7-39)=-32, then 61×-32=-1952.\n</reasoning>\nFinal Answer: -1952"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 99, 2, 44, 57, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 2 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 90 = 1710.\n</reasoning>\nFinal Answer: 1710"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 753 mod 756"
},
{
"role": "assistant",
"content": "<reasoning>\n753 mod 756: 753 = 756 × 0 + 753, so remainder = 753.\n</reasoning>\nFinal Answer: 753"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2708 at 8% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2708 × 8 × 5 / 100 = 1083.2.\n</reasoning>\nFinal Answer: 1083.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 767 km apart. Their speeds are 69 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+58=127 km/h. Time = 767/127 = 6.0394 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20464 at 11% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20464 × 11 × 3 / 100 = 6753.12.\n</reasoning>\nFinal Answer: 6753.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:37 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/37, so B = A × (37/9) = 63 × 37/9 = 259.0.\n</reasoning>\nFinal Answer: 259.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 + 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/5 + 18/14. Common denominator = 35. Result = 52/35.\n</reasoning>\nFinal Answer: 52/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 17 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 17 = 221 worker-days. New time = 221 / 18 = 12.2778 days.\n</reasoning>\nFinal Answer: 12.2778"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29430 at 11% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29430 × 11 × 2 / 100 = 6474.6.\n</reasoning>\nFinal Answer: 6474.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 762 + -196"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 762 and -196: 762 + -196 = 566.\n</reasoning>\nFinal Answer: 566"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 18, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (22-1)×18 = 28 + 378 = 406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 16 - 191"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 191 from 16: 16 - 191 = -175.\n</reasoning>\nFinal Answer: -175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:32 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/32, so B = A × (32/5) = 97 × 32/5 = 620.8.\n</reasoning>\nFinal Answer: 620.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/8 + 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/8 + 9/8. Common denominator = 8. Result = 27/8.\n</reasoning>\nFinal Answer: 27/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-24)x + (-28) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×4×-28 = 1024. √discriminant = 32. x = (-(-24) ± 32) / (2×4). Solutions: x = -1 or x = 7.\n</reasoning>\nFinal Answer: x = -1 or x = 7... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 278."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 278 by smallest primes repeatedly: 278 = 2 × 139.\n</reasoning>\nFinal Answer: 2 × 139"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -5 = -5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 1x = 0. Divide by 1: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 194 and 94."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(194,94) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 556 - 700"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 700 from 556: 556 - 700 = -144.\n</reasoning>\nFinal Answer: -144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 86, 52, 93, 79, 84, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 33, 52, 79, 84, 86, 93]. Middle value(s) → median = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -85 mod 542"
},
{
"role": "assistant",
"content": "<reasoning>\n-85 mod 542: -85 = 542 × -1 + 457, so remainder = 457.\n</reasoning>\nFinal Answer: 457"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 205 ÷ 482"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 205 by 482. 205 ÷ 482 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/9 * 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/9) × (5/8) = (70/72) = 35/36 after simplification.\n</reasoning>\nFinal Answer: 35/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 25, 30, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 25 + 30 + 33 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 48, 55, 62, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 7. Next term = 69 + 7 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 8, 13, 18, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 5. Next term = 23 + 5 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19570 at 10% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19570 × 10 × 10 / 100 = 19570.0.\n</reasoning>\nFinal Answer: 19570.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -1 = -274"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 13x = -273. Divide by 13: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:38 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/38, so B = A × (38/34) = 69 × 38/34 = 77.1176.\n</reasoning>\nFinal Answer: 77.1176"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-20)x + (-24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -20² - 4×4×-24 = 784. √discriminant = 28. x = (-(-20) ± 28) / (2×4). Solutions: x = -1 or x = 6.\n</reasoning>\nFinal Answer: x = -1 or x = 6"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 27, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 27 + 32 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -29 = -428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 19x = -399. Divide by 19: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 29 and 179."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(29,179) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:15 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/15, so B = A × (15/46) = 18 × 15/46 = 5.8696.\n</reasoning>\nFinal Answer: 5.8696"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 41 = 313"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 8x = 272. Divide by 8: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 80, 8, 55, 74, 100, 93, 66, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 80: 1, 8: 1, 55: 1, 74: 1, 100: 1, 93: 1, 66: 1, 61: 1}. Most frequent: [28, 80, 8, 55, 74, 100, 93, 66, 61].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 19 * 9 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×9=171, then 9+171-47=133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 49 * 48 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×48=2352, then 24+2352-42=2334.\n</reasoning>\nFinal Answer: 2334"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [100, 34, 38, 22, 37, 90, 12, 92, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 12 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 86 km/h. How far does it travel in 5 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 10/60 = 5.1667 hours. Distance = speed × time = 86 × 5.1667 = 444.3333 km.\n</reasoning>\nFinal Answer: 444.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/3 - 9/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/3 - 9/1. LCD = 3. Result = -17/3.\n</reasoning>\nFinal Answer: -17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 981 + -801"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 981 and -801: 981 + -801 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 21 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 1+441-39=403.\n</reasoning>\nFinal Answer: 403"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 43 + 30 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×43=473 and 30×15=450, then add: 923.\n</reasoning>\nFinal Answer: 923"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -710 - -908"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -908 from -710: -710 - -908 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 379 km apart. Their speeds are 92 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+90=182 km/h. Time = 379/182 = 2.0824 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 23 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 43+529-28=544.\n</reasoning>\nFinal Answer: 544"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 265 mod 805"
},
{
"role": "assistant",
"content": "<reasoning>\n265 mod 805: 265 = 805 × 0 + 265, so remainder = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 11, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (26-1)×11 = 17 + 275 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 / 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/19) ÷ (16/5) = (9/19) × (5/16) = 45/304.\n</reasoning>\nFinal Answer: 45/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 91 and 185."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(91,185) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 99 - -821"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -821 from 99: 99 - -821 = 920.\n</reasoning>\nFinal Answer: 920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-16)x + (-20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×4×-20 = 576. √discriminant = 24. x = (-(-16) ± 24) / (2×4). Solutions: x = 5 or x = -1.\n</reasoning>\nFinal Answer: x = 5 or x = -1"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×44)/1 = 1364.\n</reasoning>\nFinal Answer: 1364"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 91, 38, 99, 5, 4, 40, 5, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 373/9 = 41.4444.\n</reasoning>\nFinal Answer: 41.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 43 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 29+1849-19=1859.\n</reasoning>\nFinal Answer: 1859"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 976 km apart. Their speeds are 118 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+66=184 km/h. Time = 976/184 = 5.3043 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 604 - 436"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 436 from 604: 604 - 436 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 81, 61, 28, 2, 13, 19, 73, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 13, 19, 28, 30, 50, 61, 73, 81]. Middle value(s) → median = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "121 is what percentage of 165?"
},
{
"role": "assistant",
"content": "<reasoning>\n(121/165) × 100 = 73.3333%.\n</reasoning>\nFinal Answer: 73.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 14 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 14 = 196 worker-days. New time = 196 / 17 = 11.5294 days.\n</reasoning>\nFinal Answer: 11.5294"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:32 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/32, so B = A × (32/31) = 82 × 32/31 = 84.6452.\n</reasoning>\nFinal Answer: 84.6452"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 55 and 135."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(55,135) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 14] and B = [1, 2, 3, 10, 12, 13, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 6, 10, 12, 13, 16].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 36 = 426"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 13x = 390. Divide by 13: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 403 km apart. Their speeds are 100 km/h and 104 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+104=204 km/h. Time = 403/204 = 1.9755 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:6 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/6, so B = A × (6/11) = 60 × 6/11 = 32.7273.\n</reasoning>\nFinal Answer: 32.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 46 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 27+2116-24=2119.\n</reasoning>\nFinal Answer: 2119"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 - 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/11 - 11/13. LCD = 143. Result = 48/143.\n</reasoning>\nFinal Answer: 48/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 87, 72, 35, 86, 90, 68, 54, 42, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 87: 1, 72: 1, 35: 1, 86: 1, 90: 1, 68: 1, 54: 1, 42: 1, 15: 1}. Most frequent: [49, 87, 72, 35, 86, 90, 68, 54, 42, 15].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 318 km apart. Their speeds are 74 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+72=146 km/h. Time = 318/146 = 2.1781 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
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