messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 10/14 / 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/14) ÷ (4/12) = (10/14) × (12/4) = 15/7.\n</reasoning>\nFinal Answer: 15/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×38)/2 = 798.\n</reasoning>\nFinal Answer: 798"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 10 = -94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 8x = -104. Divide by 8: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -560 + 362"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -560 and 362: -560 + 362 = -198.\n</reasoning>\nFinal Answer: -198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -959 × 109"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -959 by 109: -959 × 109 = -104531.\n</reasoning>\nFinal Answer: -104531"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 40, 49, 38, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 40: 1, 49: 1, 38: 1, 33: 1}. Most frequent: [34, 40, 49, 38, 33].\n</reasoning>\nFinal Answer: [34, 40, 49, 38, 33]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 27 = -733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 20x = -760. Divide by 20: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:10 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/10, so B = A × (10/23) = 65 × 10/23 = 28.2609.\n</reasoning>\nFinal Answer: 28.2609"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 6 * 26 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×26=156, then 4+156-31=129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -229 + -137"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -229 and -137: -229 + -137 = -366.\n</reasoning>\nFinal Answer: -366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 21) * (11 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+21)=26, (11-31)=-20, then 26×-20=-520.\n</reasoning>\nFinal Answer: -520"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 22 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 22 = 418 worker-days. New time = 418 / 20 = 20.9 days.\n</reasoning>\nFinal Answer: 20.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 841?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 841 = (45/100) × 841 = 378.45.\n</reasoning>\nFinal Answer: 378.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "476 is what percentage of 668?"
},
{
"role": "assistant",
"content": "<reasoning>\n(476/668) × 100 = 71.2575%.\n</reasoning>\nFinal Answer: 71.2575%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [27, 35, 43, 51, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 27 and common difference 8. Next term = 59 + 8 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+61) = 2×88 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (7)x + (6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 7² - 4×1×6 = 25. √discriminant = 5. x = (-(7) ± 5) / (2×1). Solutions: x = -1 or x = -6.\n</reasoning>\nFinal Answer: x = -1 or x = -6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 24 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 24 = 240 worker-days. New time = 240 / 6 = 40.0 days.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 * 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/4) × (3/6) = (60/24) = 5/2 after simplification.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30707 at 5% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30707 × 5 × 7 / 100 = 10747.45.\n</reasoning>\nFinal Answer: 10747.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 42, 38, 38, 37, 48, 87, 99, 14, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 2 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -11 = 407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 22x = 418. Divide by 22: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -967 × -851"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -967 by -851: -967 × -851 = 822917.\n</reasoning>\nFinal Answer: 822917"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 4 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 21+16-37=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 371 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 371 × (1 + 80/100) = 371 × 1.8 = 667.8.\n</reasoning>\nFinal Answer: 667.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "158 is what percentage of 305?"
},
{
"role": "assistant",
"content": "<reasoning>\n(158/305) × 100 = 51.8033%.\n</reasoning>\nFinal Answer: 51.8033%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:43 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/43, so B = A × (43/3) = 96 × 43/3 = 1376.0.\n</reasoning>\nFinal Answer: 1376.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 92 ÷ -448"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 92 by -448. 92 ÷ -448 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 4 = -188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 8x = -192. Divide by 8: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 884 + 263"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 884 and 263: 884 + 263 = 1147.\n</reasoning>\nFinal Answer: 1147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -48 ÷ -871"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -48 by -871. -48 ÷ -871 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -1 = -146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 29x = -145. Divide by 29: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -999 - 127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 127 from -999: -999 - 127 = -1126.\n</reasoning>\nFinal Answer: -1126"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 89 and 171."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(89,171) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 364 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from 364: 364 - 26 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 82 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(82+73) = 2×155 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 34, 51, 68, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 17. Next term = 85 + 17 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 0 = 105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 7x = 105. Divide by 7: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 24) * (9 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+24)=58, (9-16)=-7, then 58×-7=-406.\n</reasoning>\nFinal Answer: -406"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (30)x + (75) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 30² - 4×3×75 = 0. √discriminant = 0. x = (-(30) ± 0) / (2×3). Solutions: x = -5 (double root).\n</reasoning>\nFinal Answer: x = -5 (double root)... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -15 = 72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 29x = 87. Divide by 29: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 98 and 163."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(98,163) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 688 mod 170"
},
{
"role": "assistant",
"content": "<reasoning>\n688 mod 170: 688 = 170 × 4 + 8, so remainder = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15879 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15879 × 4 × 4 / 100 = 2540.64.\n</reasoning>\nFinal Answer: 2540.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 167 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 167 × (1 + 45/100) = 167 × 1.45 = 242.15.\n</reasoning>\nFinal Answer: 242.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 56 apples and buys 103 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 56 + 103 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -143 × -787"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -143 by -787: -143 × -787 = 112541.\n</reasoning>\nFinal Answer: 112541"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 8, 9, 12, 14, 19] and B = [1, 2, 3, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 5, 8, 9, 12, 14, 19].\n</reasoning>\nFinal Answer: [4, 5, 8, 9, 12, 14, 19]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 / 20/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/10) ÷ (20/19) = (20/10) × (19/20) = 19/10.\n</reasoning>\nFinal Answer: 19/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 63 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 63 × 23 = 724.5.\n</reasoning>\nFinal Answer: 724.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 47 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+47) × 23 = 736.0.\n</reasoning>\nFinal Answer: 736.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 62, 79, 96, 113]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 17. Next term = 113 + 17 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:20 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/20, so B = A × (20/43) = 70 × 20/43 = 32.5581.\n</reasoning>\nFinal Answer: 32.5581"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 - 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 2/14. LCD = 21. Result = 11/21.\n</reasoning>\nFinal Answer: 11/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 35 * 36 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×36=1260, then 22+1260-47=1235.\n</reasoning>\nFinal Answer: 1235"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:7 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/7, so B = A × (7/40) = 22 × 7/40 = 3.85.\n</reasoning>\nFinal Answer: 3.85"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -819 + 310"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -819 and 310: -819 + 310 = -509.\n</reasoning>\nFinal Answer: -509"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 6 = -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 5x = -235. Divide by 5: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 2) * (23 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+2)=25, (23-37)=-14, then 25×-14=-350.\n</reasoning>\nFinal Answer: -350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 107 km/h. How far does it travel in 9 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 49/60 = 9.8167 hours. Distance = speed × time = 107 × 9.8167 = 1050.3833 km.\n</reasoning>\nFinal Answer: 1050.3833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22045 at 19% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22045 × 19 × 10 / 100 = 41885.5.\n</reasoning>\nFinal Answer: 41885.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 28 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 18+784-50=752.\n</reasoning>\nFinal Answer: 752"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 17 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 5x = -15. Divide by 5: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/2 + 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/2 + 18/9. Common denominator = 2. Result = 17/2.\n</reasoning>\nFinal Answer: 17/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 23, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 23 + 25 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 752 - -312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -312 from 752: 752 - -312 = 1064.\n</reasoning>\nFinal Answer: 1064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 * 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/8) × (7/10) = (49/80) = 49/80 after simplification.\n</reasoning>\nFinal Answer: 49/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -749 mod -774"
},
{
"role": "assistant",
"content": "<reasoning>\n-749 mod -774: -749 = -774 × 0 + -749, so remainder = -749.\n</reasoning>\nFinal Answer: -749"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -152 + 604"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -152 and 604: -152 + 604 = 452.\n</reasoning>\nFinal Answer: 452"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 50, 13, 53, 37, 4, 26, 34, 5, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 4 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 5, 93, 6, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 261/5 = 52.2.\n</reasoning>\nFinal Answer: 52.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 50 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+50) × 28 = 1022.0.\n</reasoning>\nFinal Answer: 1022.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 173 - 575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 575 from 173: 173 - 575 = -402.\n</reasoning>\nFinal Answer: -402"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -953 × 403"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -953 by 403: -953 × 403 = -384059.\n</reasoning>\nFinal Answer: -384059"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 4 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 16/60 = 4.2667 hours. Distance = speed × time = 113 × 4.2667 = 482.1333 km.\n</reasoning>\nFinal Answer: 482.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 23 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(23+65) = 2×88 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 60, 60, 96, 15, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 340/6 = 56.6667.\n</reasoning>\nFinal Answer: 56.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -802 mod 413"
},
{
"role": "assistant",
"content": "<reasoning>\n-802 mod 413: -802 = 413 × -2 + 24, so remainder = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 603 ÷ 255"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 603 by 255. 603 ÷ 255 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 * 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/18) × (20/6) = (380/108) = 95/27 after simplification.\n</reasoning>\nFinal Answer: 95/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 775?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 775 = (80/100) × 775 = 620.0.\n</reasoning>\nFinal Answer: 620.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 28, 36, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 28 + 36 + 36 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 50 + 39 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×50=450 and 39×27=1053, then add: 1503.\n</reasoning>\nFinal Answer: 1503"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 29 + 32 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×29=986 and 32×35=1120, then add: 2106.\n</reasoning>\nFinal Answer: 2106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "569 is what percentage of 910?"
},
{
"role": "assistant",
"content": "<reasoning>\n(569/910) × 100 = 62.5275%.\n</reasoning>\nFinal Answer: 62.5275%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -954 ÷ 632"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -954 by 632. -954 ÷ 632 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×4)/4 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:46 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/46, so B = A × (46/16) = 41 × 46/16 = 117.875.\n</reasoning>\nFinal Answer: 117.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 90, 8, 65, 44, 69, 93, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 8 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -189 mod -124"
},
{
"role": "assistant",
"content": "<reasoning>\n-189 mod -124: -189 = -124 × 1 + -65, so remainder = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 5) * (30 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+5)=9, (30-32)=-2, then 9×-2=-18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -57 ÷ -349"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -57 by -349. -57 ÷ -349 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 45 ÷ -570"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 45 by -570. 45 ÷ -570 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 93, 55, 59, 91, 20, 92, 54, 98, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 15 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 500 ÷ -86"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 500 by -86. 500 ÷ -86 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3215. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3215 × 5/100 = 160.75. Total = 3215 + 160.75 = 3375.75.\n</reasoning>\nFinal Answer: 3375.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 - 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/20 - 9/20. LCD = 20. Result = 1/20.\n</reasoning>\nFinal Answer: 1/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 37 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+37) × 33 = 1303.5.\n</reasoning>\nFinal Answer: 1303.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (10)x + (-100) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×2×-100 = 900. √discriminant = 30. x = (-(10) ± 30) / (2×2). Solutions: x = -10 or x = 5.\n</reasoning>\nFinal Answer: x = -10 or x = 5... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 327 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 327 × (1 - 12/100) = 327 × 0.88 = 287.76.\n</reasoning>\nFinal Answer: 287.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
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