messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×21)/1 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 576 km apart. Their speeds are 65 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+64=129 km/h. Time = 576/129 = 4.4651 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [29, 60, 24, 84, 62, 36, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {29: 1, 60: 1, 24: 1, 84: 1, 62: 1, 36: 1, 32: 1}. Most frequent: [29, 60, 24, 84, 62, 36, 32].\n</reasoning>\nFinal Answer: [29, 60, 24, 84, 62, 36... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 8 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 29/60 = 8.4833 hours. Distance = speed × time = 106 × 8.4833 = 899.2333 km.\n</reasoning>\nFinal Answer: 899.2333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 48 = 258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 5x = 210. Divide by 5: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 10, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (47-1)×10 = 24 + 460 = 484.\n</reasoning>\nFinal Answer: 484"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 97 = 1697.5.\n</reasoning>\nFinal Answer: 1697.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -20 = -515"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 15x = -495. Divide by 15: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 557 mod -175"
},
{
"role": "assistant",
"content": "<reasoning>\n557 mod -175: 557 = -175 × -4 + -143, so remainder = -143.\n</reasoning>\nFinal Answer: -143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 716 ÷ -134"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 716 by -134. 716 ÷ -134 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:44 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/44, so B = A × (44/22) = 77 × 44/22 = 154.0.\n</reasoning>\nFinal Answer: 154.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 197 and 189."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(197,189) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -454 + 719"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -454 and 719: -454 + 719 = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 18 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 18 = 126 worker-days. New time = 126 / 2 = 63.0 days.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 97 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 97 × (1 - 20/100) = 97 × 0.8 = 77.6.\n</reasoning>\nFinal Answer: 77.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 7) * (16 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+7)=45, (16-39)=-23, then 45×-23=-1035.\n</reasoning>\nFinal Answer: -1035"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "354 is what percentage of 433?"
},
{
"role": "assistant",
"content": "<reasoning>\n(354/433) × 100 = 81.7552%.\n</reasoning>\nFinal Answer: 81.7552%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹1542. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1542 × 28/100 = 431.76. Total = 1542 + 431.76 = 1973.76.\n</reasoning>\nFinal Answer: 1973.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 698 ÷ 155"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 698 by 155. 698 ÷ 155 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 28) * (30 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+28)=70, (30-37)=-7, then 70×-7=-490.\n</reasoning>\nFinal Answer: -490"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [25, 75, 14, 51, 28, 11, 52, 19, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {25: 1, 75: 1, 14: 1, 51: 1, 28: 1, 11: 1, 52: 1, 19: 1, 100: 1}. Most frequent: [25, 75, 14, 51, 28, 11, 52, 19, 100].\n</reasoning>\nFina... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 242 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 242 × (1 - 12/100) = 242 × 0.88 = 212.96.\n</reasoning>\nFinal Answer: 212.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4219. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4219 × 28/100 = 1181.32. Total = 4219 + 1181.32 = 5400.32.\n</reasoning>\nFinal Answer: 5400.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 99, 26, 23, 30, 28, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 23, 26, 28, 30, 68, 99]. Middle value(s) → median = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹3733. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3733 × 28/100 = 1045.24. Total = 3733 + 1045.24 = 4778.24.\n</reasoning>\nFinal Answer: 4778.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 83 = 6474.\n</reasoning>\nFinal Answer: 6474"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -36 = -896"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 20x = -860. Divide by 20: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 42, 89, 68, 24, 48, 51, 46, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 435/9 = 48.3333.\n</reasoning>\nFinal Answer: 48.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 40 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+40) × 35 = 1295.0.\n</reasoning>\nFinal Answer: 1295.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 14, 16, 18] and B = [3, 4, 12, 14, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 9, 16].\n</reasoning>\nFinal Answer: [8, 9, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 19) * (41 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+19)=35, (41-47)=-6, then 35×-6=-210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 684 - -200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -200 from 684: 684 - -200 = 884.\n</reasoning>\nFinal Answer: 884"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 352 ÷ 373"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 352 by 373. 352 ÷ 373 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 24 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 24 = 120 worker-days. New time = 120 / 7 = 17.1429 days.\n</reasoning>\nFinal Answer: 17.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 514 - 151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 151 from 514: 514 - 151 = 363.\n</reasoning>\nFinal Answer: 363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 437 + -968"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 437 and -968: 437 + -968 = -531.\n</reasoning>\nFinal Answer: -531"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 66, 86, 106, 126]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 20. Next term = 126 + 20 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -364 × 333"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -364 by 333: -364 × 333 = -121212.\n</reasoning>\nFinal Answer: -121212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 - 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/7 - 14/20. LCD = 70. Result = 11/70.\n</reasoning>\nFinal Answer: 11/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 16 = -48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 4x = -64. Divide by 4: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -187 ÷ 57"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -187 by 57. -187 ÷ 57 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4517. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4517 × 18/100 = 813.06. Total = 4517 + 813.06 = 5330.06.\n</reasoning>\nFinal Answer: 5330.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 43 * 21 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×21=903, then 20+903-3=920.\n</reasoning>\nFinal Answer: 920"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 + 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/11 + 7/7. Common denominator = 11. Result = 26/11.\n</reasoning>\nFinal Answer: 26/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 8 = 1388"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 30x = 1380. Divide by 30: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+79) = 2×93 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 35 = -782"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 19x = -817. Divide by 19: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10221 at 7% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10221 × 7 × 10 / 100 = 7154.7.\n</reasoning>\nFinal Answer: 7154.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 21 = -69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 6x = -90. Divide by 6: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 + 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/5 + 2/14. Common denominator = 7. Result = 8/7.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [36, 2, 47, 1, 24, 51, 7, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 2, 7, 24, 36, 45, 47, 51]. Middle value(s) → median = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 35, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 35 + 40 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 144 and 168."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(144,168) = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 946 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 946 × (1 - 100/100) = 946 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 31."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 31: factors are [1, 31].\n</reasoning>\nFinal Answer: [1, 31]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 17 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 17 = 289 worker-days. New time = 289 / 8 = 36.125 days.\n</reasoning>\nFinal Answer: 36.125"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 34, 27, 10, 7, 34, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 47 - 6 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 167 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from 167: 167 - 42 = 125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×21)/1 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -481 + -557"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -481 and -557: -481 + -557 = -1038.\n</reasoning>\nFinal Answer: -1038"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 50 + 41 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×50=2450 and 41×10=410, then add: 2860.\n</reasoning>\nFinal Answer: 2860"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 11 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 6/60 = 11.1000 hours. Distance = speed × time = 95 × 11.1000 = 1054.5 km.\n</reasoning>\nFinal Answer: 1054.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 47 = 437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 15x = 390. Divide by 15: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 10, 13, 16, 17, 18] and B = [1, 4, 6, 11], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 5, 6, 8, 10, 11, 13, 16, 17, 18].\n</reasoning>\nFinal Answer: [1, 4, 5, 6,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -587 × -124"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -587 by -124: -587 × -124 = 72788.\n</reasoning>\nFinal Answer: 72788"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 8 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 38+64-19=83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 39, 41, 21, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 39: 1, 41: 1, 21: 1, 68: 1}. Most frequent: [64, 39, 41, 21, 68].\n</reasoning>\nFinal Answer: [64, 39, 41, 21, 68]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 / 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/12) ÷ (1/13) = (2/12) × (13/1) = 13/6.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 6 * 36 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×36=216, then 46+216-40=222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 13, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (31-1)×13 = 17 + 390 = 407.\n</reasoning>\nFinal Answer: 407"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 995 ÷ -403"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 995 by -403. 995 ÷ -403 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 217 km apart. Their speeds are 104 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+72=176 km/h. Time = 217/176 = 1.233 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21111 at 7% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21111 × 7 × 3 / 100 = 4433.31.\n</reasoning>\nFinal Answer: 4433.31"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 10, 11, 13, 14, 17] and B = [10, 13, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 13, 17].\n</reasoning>\nFinal Answer: [10, 13, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 715 km apart. Their speeds are 41 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+102=143 km/h. Time = 715/143 = 5.0 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×10)/10 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 38, 39, 81, 66, 47, 84, 2, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 38: 1, 39: 1, 81: 1, 66: 1, 47: 1, 84: 1, 2: 1, 59: 1}. Most frequent: [97, 38, 39, 81, 66, 47, 84, 2, 59].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 10, 11, 13, 15] and B = [2, 5, 9, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 10, 11, 15].\n</reasoning>\nFinal Answer: [3, 10, 11, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 21 = 1974.\n</reasoning>\nFinal Answer: 1974"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 + 2/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/15 + 2/13. Common denominator = 65. Result = 36/65.\n</reasoning>\nFinal Answer: 36/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 137 + -90"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 137 and -90: 137 + -90 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 12 + 36 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×12=12 and 36×40=1440, then add: 1452.\n</reasoning>\nFinal Answer: 1452"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 64, 9, 95, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 214/5 = 42.8.\n</reasoning>\nFinal Answer: 42.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 * 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/11) × (7/6) = (42/66) = 7/11 after simplification.\n</reasoning>\nFinal Answer: 7/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 48 = 1680.\n</reasoning>\nFinal Answer: 1680"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -11 = 457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 12x = 468. Divide by 12: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 - 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/10 - 6/18. LCD = 3. Result = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 62, 8, 74, 40, 69, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 62: 1, 8: 1, 74: 1, 40: 1, 69: 1, 60: 1}. Most frequent: [23, 62, 8, 74, 40, 69, 60].\n</reasoning>\nFinal Answer: [23, 62, 8, 74, 40, 69, 60... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 + 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/9 + 17/11. Common denominator = 99. Result = 274/99.\n</reasoning>\nFinal Answer: 274/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 20, 74, 35, 30, 19, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 213/7 = 30.4286.\n</reasoning>\nFinal Answer: 30.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -12 = -99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 3x = -87. Divide by 3: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [11, 12, 15, 19] and B = [3, 4, 6, 11, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 6, 11, 12, 15, 16, 19].\n</reasoning>\nFinal Answer: [3, 4, 6, 11, 12, 15, 16, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:10 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/10, so B = A × (10/25) = 46 × 10/25 = 18.4.\n</reasoning>\nFinal Answer: 18.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 18, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 18 + 25 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -568 mod 996"
},
{
"role": "assistant",
"content": "<reasoning>\n-568 mod 996: -568 = 996 × -1 + 428, so remainder = 428.\n</reasoning>\nFinal Answer: 428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 96, 7, 72, 8, 29, 43, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 7 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 32 = 472"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 11x = 440. Divide by 11: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 197 km apart. Their speeds are 115 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+73=188 km/h. Time = 197/188 = 1.0479 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 585 mod 258"
},
{
"role": "assistant",
"content": "<reasoning>\n585 mod 258: 585 = 258 × 2 + 69, so remainder = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:32 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/32, so B = A × (32/50) = 93 × 32/50 = 59.52.\n</reasoning>\nFinal Answer: 59.52"
}
] | medium | [
"ratio",
"proportion"
] |
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