messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [4, 13, 19] and B = [1, 2, 4, 6, 8, 12, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4].\n</reasoning>\nFinal Answer: [4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 19."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 19 by smallest primes repeatedly: 19 = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 89, 91, 89, 64, 18, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 18, 64, 65, 89, 89, 91]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 650 - -164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -164 from 650: 650 - -164 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 183 apples and buys 173 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 183 + 173 = 356.\n</reasoning>\nFinal Answer: 356"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 12 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 12 = 240 worker-days. New time = 240 / 4 = 60.0 days.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 100, 47, 60, 74, 59, 46, 74, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 100: 1, 47: 1, 60: 1, 74: 2, 59: 1, 46: 1, 5: 1}. Most frequent: 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 3) * (47 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+3)=12, (47-4)=43, then 12×43=516.\n</reasoning>\nFinal Answer: 516"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 623 km apart. Their speeds are 86 km/h and 60 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+60=146 km/h. Time = 623/146 = 4.2671 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 2 + 19 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×2=34 and 19×10=190, then add: 224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 81 km/h. How far does it travel in 4 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 47/60 = 4.7833 hours. Distance = speed × time = 81 × 4.7833 = 387.45 km.\n</reasoning>\nFinal Answer: 387.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 443 km apart. Their speeds are 102 km/h and 91 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+91=193 km/h. Time = 443/193 = 2.2953 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 17% of 302?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 302 = (17/100) × 302 = 51.34.\n</reasoning>\nFinal Answer: 51.34"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26905 at 4% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26905 × 4 × 3 / 100 = 3228.6.\n</reasoning>\nFinal Answer: 3228.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "100 is what percentage of 312?"
},
{
"role": "assistant",
"content": "<reasoning>\n(100/312) × 100 = 32.0513%.\n</reasoning>\nFinal Answer: 32.0513%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 * 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/8) × (5/19) = (80/152) = 10/19 after simplification.\n</reasoning>\nFinal Answer: 10/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 7 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 6/60 = 7.1000 hours. Distance = speed × time = 51 × 7.1000 = 362.1 km.\n</reasoning>\nFinal Answer: 362.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -668 ÷ -970"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -668 by -970. -668 ÷ -970 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×40)/2 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 753 + -106"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 753 and -106: 753 + -106 = 647.\n</reasoning>\nFinal Answer: 647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 60 apples and buys 135 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 60 + 135 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 - 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/10 - 1/5. LCD = 10. Result = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [79, 50, 78, 92, 84, 44, 10, 41, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {79: 1, 50: 1, 78: 1, 92: 1, 84: 1, 44: 1, 10: 1, 41: 1, 4: 1}. Most frequent: [79, 50, 78, 92, 84, 44, 10, 41, 4].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -56 × -504"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -56 by -504: -56 × -504 = 28224.\n</reasoning>\nFinal Answer: 28224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 32 = -240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 17x = -272. Divide by 17: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 37, 81, 5, 96, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 5 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 6 * 43 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×43=258, then 1+258-45=214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×41)/1 = 902.\n</reasoning>\nFinal Answer: 902"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:46 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/46, so B = A × (46/26) = 65 × 46/26 = 115.0.\n</reasoning>\nFinal Answer: 115.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 - 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/19 - 5/8. LCD = 152. Result = -63/152.\n</reasoning>\nFinal Answer: -63/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 262 + -339"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 262 and -339: 262 + -339 = -77.\n</reasoning>\nFinal Answer: -77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -487 + 900"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -487 and 900: -487 + 900 = 413.\n</reasoning>\nFinal Answer: 413"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 14] and B = [1, 2, 7, 11, 15, 16, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 173 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 173 + 139 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 827 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 827 × (1 + 17/100) = 827 × 1.17 = 967.59.\n</reasoning>\nFinal Answer: 967.59"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:17 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/17, so B = A × (17/32) = 58 × 17/32 = 30.8125.\n</reasoning>\nFinal Answer: 30.8125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 9, 10, 11, 18] and B = [2, 5, 9, 11, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 8, 9, 10, 11, 17, 18].\n</reasoning>\nFinal Answer: [2, 5, 8, 9, 10, 11, 17, 18... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-2)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×2×-40 = 324. √discriminant = 18. x = (-(-2) ± 18) / (2×2). Solutions: x = -4 or x = 5.\n</reasoning>\nFinal Answer: x = -4 or x = 5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 23) * (32 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+23)=63, (32-32)=0, then 63×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 27, 67, 80, 29, 36, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 27 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 670 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 670 × (1 + 25/100) = 670 × 1.25 = 837.5.\n</reasoning>\nFinal Answer: 837.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 14, 73, 46, 11, 86, 77, 73, 16, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 482/10 = 48.2.\n</reasoning>\nFinal Answer: 48.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 21 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 3x = -45. Divide by 3: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 629 + 771"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 629 and 771: 629 + 771 = 1400.\n</reasoning>\nFinal Answer: 1400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:41 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/41, so B = A × (41/17) = 6 × 41/17 = 14.4706.\n</reasoning>\nFinal Answer: 14.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 / 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/19) ÷ (7/5) = (7/19) × (5/7) = 5/19.\n</reasoning>\nFinal Answer: 5/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 580 × -723"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 580 by -723: 580 × -723 = -419340.\n</reasoning>\nFinal Answer: -419340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 52, 55, 60, 15, 27, 7, 53, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 7 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 49) * (4 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+49)=73, (4-31)=-27, then 73×-27=-1971.\n</reasoning>\nFinal Answer: -1971"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/13 + 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/13 + 3/9. Common denominator = 39. Result = 28/39.\n</reasoning>\nFinal Answer: 28/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+39) = 2×83 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 67, 96, 74, 61, 20, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 2, 67: 1, 96: 1, 74: 1, 61: 1, 99: 1}. Most frequent: 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 6 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 3x = -45. Divide by 3: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 28 + 16 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×28=952 and 16×22=352, then add: 1304.\n</reasoning>\nFinal Answer: 1304"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 674 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 674 × (1 + 5/100) = 674 × 1.05 = 707.7.\n</reasoning>\nFinal Answer: 707.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 12 = -93"
},
{
"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": "An item costs ₹1822. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1822 × 12/100 = 218.64. Total = 1822 + 218.64 = 2040.64.\n</reasoning>\nFinal Answer: 2040.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 40 * 47 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×47=1880, then 28+1880-4=1904.\n</reasoning>\nFinal Answer: 1904"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 9, 11, 12, 13, 14, 17] and B = [3, 5, 6, 15, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 8 = 212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 17x = 204. Divide by 17: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 / 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/1) ÷ (3/6) = (17/1) × (6/3) = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 265 ÷ -631"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 265 by -631. 265 ÷ -631 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 92 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 92 + 159 = 251.\n</reasoning>\nFinal Answer: 251"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 65 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(65,38) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 815 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 815 × (1 + 7/100) = 815 × 1.07 = 872.05.\n</reasoning>\nFinal Answer: 872.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1565. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1565 × 5/100 = 78.25. Total = 1565 + 78.25 = 1643.25.\n</reasoning>\nFinal Answer: 1643.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 18 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 18 = 126 worker-days. New time = 126 / 13 = 9.6923 days.\n</reasoning>\nFinal Answer: 9.6923"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 85, 8, 16, 100, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 85: 2, 8: 1, 16: 1, 100: 1}. Most frequent: 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:23 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/23, so B = A × (23/36) = 53 × 23/36 = 33.8611.\n</reasoning>\nFinal Answer: 33.8611"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 546 mod 447"
},
{
"role": "assistant",
"content": "<reasoning>\n546 mod 447: 546 = 447 × 1 + 99, so remainder = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 135 apples and buys 14 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 135 + 14 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 800 mod 459"
},
{
"role": "assistant",
"content": "<reasoning>\n800 mod 459: 800 = 459 × 1 + 341, so remainder = 341.\n</reasoning>\nFinal Answer: 341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 31 + 12 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×31=1550 and 12×37=444, then add: 1994.\n</reasoning>\nFinal Answer: 1994"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 12, 13] and B = [3, 8, 9, 10, 14, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 12, 13].\n</reasoning>\nFinal Answer: [1, 4, 12, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -39 = 265"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 19x = 304. Divide by 19: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 3, 33, 67, 16, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 3 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 61, 17, 84, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 209/5 = 41.8.\n</reasoning>\nFinal Answer: 41.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 306 - -913"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -913 from 306: 306 - -913 = 1219.\n</reasoning>\nFinal Answer: 1219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 599 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 599 × (1 - 15/100) = 599 × 0.85 = 509.15.\n</reasoning>\nFinal Answer: 509.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 21 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(21,10) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -889 ÷ -735"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -889 by -735. -889 ÷ -735 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 4 = -810"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 22x = -814. Divide by 22: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -241 × 728"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -241 by 728: -241 × 728 = -175448.\n</reasoning>\nFinal Answer: -175448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 27 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 28+729-2=755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 307 × 922"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 307 by 922: 307 × 922 = 283054.\n</reasoning>\nFinal Answer: 283054"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (50)x + (120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 50² - 4×5×120 = 100. √discriminant = 10. x = (-(50) ± 10) / (2×5). Solutions: x = -6 or x = -4.\n</reasoning>\nFinal Answer: x = -6 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 33 ÷ 853"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 33 by 853. 33 ÷ 853 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -724 - -239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -239 from -724: -724 - -239 = -485.\n</reasoning>\nFinal Answer: -485"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 31 * 26 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×26=806, then 24+806-8=822.\n</reasoning>\nFinal Answer: 822"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 48 + 27 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×48=384 and 27×34=918, then add: 1302.\n</reasoning>\nFinal Answer: 1302"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [7, 12, 15, 18, 19] and B = [3, 5, 6, 8, 11, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [18].\n</reasoning>\nFinal Answer: [18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 833 × -587"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 833 by -587: 833 × -587 = -488971.\n</reasoning>\nFinal Answer: -488971"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 7 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 47/60 = 7.7833 hours. Distance = speed × time = 46 × 7.7833 = 358.0333 km.\n</reasoning>\nFinal Answer: 358.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 8 = -160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 8x = -168. Divide by 8: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -22 ÷ -340"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -22 by -340. -22 ÷ -340 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -23 = 345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 8x = 368. Divide by 8: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 16) * (28 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+16)=28, (28-7)=21, then 28×21=588.\n</reasoning>\nFinal Answer: 588"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 25 = -144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 13x = -169. Divide by 13: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 19 and 147."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(19,147) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×24)/2 = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"number_theory",
"lcm"
] |
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