messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [71, 39, 29, 68, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 39: 1, 29: 1, 68: 1, 100: 1}. Most frequent: [71, 39, 29, 68, 100].\n</reasoning>\nFinal Answer: [71, 39, 29, 68, 100]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -98 mod -63"
},
{
"role": "assistant",
"content": "<reasoning>\n-98 mod -63: -98 = -63 × 1 + -35, so remainder = -35.\n</reasoning>\nFinal Answer: -35"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 6 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 59/60 = 6.9833 hours. Distance = speed × time = 105 × 6.9833 = 733.25 km.\n</reasoning>\nFinal Answer: 733.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 868 ÷ -949"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 868 by -949. 868 ÷ -949 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "36 is what percentage of 184?"
},
{
"role": "assistant",
"content": "<reasoning>\n(36/184) × 100 = 19.5652%.\n</reasoning>\nFinal Answer: 19.5652%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 197 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 197 × (1 + 75/100) = 197 × 1.75 = 344.75.\n</reasoning>\nFinal Answer: 344.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 7, 15, 16, 19] and B = [9, 11, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [16].\n</reasoning>\nFinal Answer: [16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "420 is what percentage of 438?"
},
{
"role": "assistant",
"content": "<reasoning>\n(420/438) × 100 = 95.8904%.\n</reasoning>\nFinal Answer: 95.8904%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 49 = 457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 17x = 408. Divide by 17: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 14, 15, 16] and B = [8, 9, 12, 14, 15, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14, 15].\n</reasoning>\nFinal Answer: [14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -16 = -616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 30x = -600. Divide by 30: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 / 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/7) ÷ (3/6) = (14/7) × (6/3) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [5, 88, 92, 1, 60, 5, 65, 8, 96, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 5, 5, 8, 60, 61, 65, 88, 92, 96]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 81 × 862"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 81 by 862: 81 × 862 = 69822.\n</reasoning>\nFinal Answer: 69822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 747 km apart. Their speeds are 46 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+54=100 km/h. Time = 747/100 = 7.47 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 94."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 94 = 376.\n</reasoning>\nFinal Answer: 376"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [18, 55, 45, 98, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 18 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 17 + 50 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×17=748 and 50×10=500, then add: 1248.\n</reasoning>\nFinal Answer: 1248"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 28 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 22+784-41=765.\n</reasoning>\nFinal Answer: 765"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -767 ÷ 646"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -767 by 646. -767 ÷ 646 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -27 = -404"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 13x = -377. Divide by 13: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:31 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/31, so B = A × (31/35) = 3 × 31/35 = 2.6571.\n</reasoning>\nFinal Answer: 2.6571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 296 mod -258"
},
{
"role": "assistant",
"content": "<reasoning>\n296 mod -258: 296 = -258 × -2 + -220, so remainder = -220.\n</reasoning>\nFinal Answer: -220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 997 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 997 × (1 + 20/100) = 997 × 1.2 = 1196.4.\n</reasoning>\nFinal Answer: 1196.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 - 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/15 - 1/20. LCD = 60. Result = 13/60.\n</reasoning>\nFinal Answer: 13/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -316 ÷ -721"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -316 by -721. -316 ÷ -721 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 61."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 61 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 459 - -520"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -520 from 459: 459 - -520 = 979.\n</reasoning>\nFinal Answer: 979"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2992 at 12% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2992 × 12 × 6 / 100 = 2154.24.\n</reasoning>\nFinal Answer: 2154.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 8, 10, 13, 14] and B = [8, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 7, 8, 10, 13, 14, 17, 19].\n</reasoning>\nFinal Answer: [4, 5, 7, 8, 10, 13, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 6) * (26 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+6)=42, (26-27)=-1, then 42×-1=-42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 / 20/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/15) ÷ (20/19) = (5/15) × (19/20) = 19/60.\n</reasoning>\nFinal Answer: 19/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -34 = -334"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 12x = -300. Divide by 12: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 11 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 16/60 = 11.2667 hours. Distance = speed × time = 99 × 11.2667 = 1115.4 km.\n</reasoning>\nFinal Answer: 1115.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 10, 57, 22, 71, 82, 71, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 10, 22, 57, 71, 71, 82, 83]. Middle value(s) → median = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 278 + 922"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 278 and 922: 278 + 922 = 1200.\n</reasoning>\nFinal Answer: 1200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 1 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 6/60 = 1.1000 hours. Distance = speed × time = 118 × 1.1000 = 129.8 km.\n</reasoning>\nFinal Answer: 129.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 598 + 210"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 598 and 210: 598 + 210 = 808.\n</reasoning>\nFinal Answer: 808"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 197 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(197,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 14 + 27 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×14=322 and 27×12=324, then add: 646.\n</reasoning>\nFinal Answer: 646"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 61 and 163."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(61,163) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 389 mod -81"
},
{
"role": "assistant",
"content": "<reasoning>\n389 mod -81: 389 = -81 × -5 + -16, so remainder = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 385 + 191"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 385 and 191: 385 + 191 = 576.\n</reasoning>\nFinal Answer: 576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 / 4/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/14) ÷ (4/16) = (6/14) × (16/4) = 12/7.\n</reasoning>\nFinal Answer: 12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 954 km apart. Their speeds are 52 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+88=140 km/h. Time = 954/140 = 6.8143 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 - 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/20 - 19/1. LCD = 10. Result = -189/10.\n</reasoning>\nFinal Answer: -189/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 - 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/11 - 19/16. LCD = 176. Result = 47/176.\n</reasoning>\nFinal Answer: 47/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:15 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/15, so B = A × (15/20) = 23 × 15/20 = 17.25.\n</reasoning>\nFinal Answer: 17.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 + 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/20 + 6/17. Common denominator = 68. Result = 41/68.\n</reasoning>\nFinal Answer: 41/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "356 is what percentage of 773?"
},
{
"role": "assistant",
"content": "<reasoning>\n(356/773) × 100 = 46.0543%.\n</reasoning>\nFinal Answer: 46.0543%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 95 apples and buys 186 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 95 + 186 = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 32 * 44 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×44=1408, then 15+1408-23=1400.\n</reasoning>\nFinal Answer: 1400"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 661 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 661 × (1 - 17/100) = 661 × 0.83 = 548.63.\n</reasoning>\nFinal Answer: 548.63"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 36 = 297"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 9x = 261. Divide by 9: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 554 mod 867"
},
{
"role": "assistant",
"content": "<reasoning>\n554 mod 867: 554 = 867 × 0 + 554, so remainder = 554.\n</reasoning>\nFinal Answer: 554"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-5)x + (-360) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×5×-360 = 7225. √discriminant = 85. x = (-(-5) ± 85) / (2×5). Solutions: x = -8 or x = 9.\n</reasoning>\nFinal Answer: x = -8 or x = 9"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 47 = -466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 19x = -513. Divide by 19: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 18, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (24-1)×18 = 47 + 414 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 1 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 2+1-35=-32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 42 = 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 1x = -5. Divide by 1: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 11 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 46+121-22=145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -465 + -464"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -465 and -464: -465 + -464 = -929.\n</reasoning>\nFinal Answer: -929"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 10, 81, 43, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 1 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹1366. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1366 × 18/100 = 245.88. Total = 1366 + 245.88 = 1611.88.\n</reasoning>\nFinal Answer: 1611.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 55, 32, 100, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 55, 73, 90, 100]. Middle value(s) → median = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹1543. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1543 × 28/100 = 432.04. Total = 1543 + 432.04 = 1975.04.\n</reasoning>\nFinal Answer: 1975.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 76, 12, 2, 31, 34, 79, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 12, 31, 34, 56, 76, 79, 91]. Middle value(s) → median = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 50 = -80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 5x = -130. Divide by 5: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 613 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 613 × (1 - 70/100) = 613 × 0.30000000000000004 = 183.9.\n</reasoning>\nFinal Answer: 183.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8190 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8190 × 17 × 3 / 100 = 4176.9.\n</reasoning>\nFinal Answer: 4176.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -738 + -538"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -738 and -538: -738 + -538 = -1276.\n</reasoning>\nFinal Answer: -1276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 171 - -126"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -126 from 171: 171 - -126 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 18 = 36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 1x = 18. Divide by 1: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 187 km/h. How far does it travel in 7 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 12/60 = 7.2000 hours. Distance = speed × time = 187 × 7.2000 = 1346.4 km.\n</reasoning>\nFinal Answer: 1346.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 741 × 940"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 741 by 940: 741 × 940 = 696540.\n</reasoning>\nFinal Answer: 696540"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 64, 37, 47, 21, 62, 74, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 64: 1, 37: 1, 47: 1, 21: 1, 62: 1, 74: 1, 68: 1}. Most frequent: [51, 64, 37, 47, 21, 62, 74, 68].\n</reasoning>\nFinal Answer: [51, 64,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 638 km apart. Their speeds are 74 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+47=121 km/h. Time = 638/121 = 5.2727 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 33 = 2838.\n</reasoning>\nFinal Answer: 2838"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 45, 92, 77, 44, 93, 92, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 37 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 12 = -65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 7x = -77. Divide by 7: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 890 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 890 × (1 - 70/100) = 890 × 0.30000000000000004 = 267.0.\n</reasoning>\nFinal Answer: 267.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 585?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 585 = (15/100) × 585 = 87.75.\n</reasoning>\nFinal Answer: 87.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 5, 59, 27, 55, 12, 27, 96, 12, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 12, 12, 27, 27, 28, 55, 56, 59, 96]. Middle value(s) → median = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -46 = 354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 8x = 400. Divide by 8: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:26 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/26, so B = A × (26/36) = 67 × 26/36 = 48.3889.\n</reasoning>\nFinal Answer: 48.3889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 4 = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+58) = 2×144 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -416 + 36"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -416 and 36: -416 + 36 = -380.\n</reasoning>\nFinal Answer: -380"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1480. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1480 × 28/100 = 414.4. Total = 1480 + 414.4 = 1894.4.\n</reasoning>\nFinal Answer: 1894.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 8 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 10+64-20=54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 41 + 12 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×41=1107 and 12×28=336, then add: 1443.\n</reasoning>\nFinal Answer: 1443"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 - 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/14 - 8/11. LCD = 11. Result = 3/11.\n</reasoning>\nFinal Answer: 3/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 55, 39, 20, 80, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 237/6 = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -913 × -713"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -913 by -713: -913 × -713 = 650969.\n</reasoning>\nFinal Answer: 650969"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 5, 6, 8, 18] and B = [3, 4, 10, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 5, 6, 8, 18].\n</reasoning>\nFinal Answer: [1, 2, 5, 6, 8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 61, 1, 80, 89, 58, 2, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 413/8 = 51.625.\n</reasoning>\nFinal Answer: 51.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 115 and 181."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(115,181) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -32 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 27x = -162. Divide by 27: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47713 at 14% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47713 × 14 × 8 / 100 = 53438.56.\n</reasoning>\nFinal Answer: 53438.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 716 km apart. Their speeds are 83 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 83+88=171 km/h. Time = 716/171 = 4.1871 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
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