messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 13 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 33 + 14 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×33=1122 and 14×4=56, then add: 1178.\n</reasoning>\nFinal Answer: 1178"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 118 km/h. How far does it travel in 7 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 31/60 = 7.5167 hours. Distance = speed × time = 118 × 7.5167 = 886.9667 km.\n</reasoning>\nFinal Answer: 886.9667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -36 = -910"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 23x = -874. Divide by 23: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/16 + 2/7. Common denominator = 112. Result = 123/112.\n</reasoning>\nFinal Answer: 123/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 + 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/17 + 14/3. Common denominator = 51. Result = 244/51.\n</reasoning>\nFinal Answer: 244/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 22 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 5+484-44=445.\n</reasoning>\nFinal Answer: 445"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 12, and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 12 + 19 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 11, 11, 53, 30, 80, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 11, 30, 38, 53, 80, 83]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -12 = 858"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 29x = 870. Divide by 29: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -444 mod -929"
},
{
"role": "assistant",
"content": "<reasoning>\n-444 mod -929: -444 = -929 × 0 + -444, so remainder = -444.\n</reasoning>\nFinal Answer: -444"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:45 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/45, so B = A × (45/15) = 68 × 45/15 = 204.0.\n</reasoning>\nFinal Answer: 204.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 95 × 850"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 95 by 850: 95 × 850 = 80750.\n</reasoning>\nFinal Answer: 80750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 270 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 270 × (1 + 7/100) = 270 × 1.07 = 288.9.\n</reasoning>\nFinal Answer: 288.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 79, 48, 93, 66, 52, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 79: 1, 48: 1, 93: 1, 66: 1, 52: 1, 77: 1}. Most frequent: [9, 79, 48, 93, 66, 52, 77].\n</reasoning>\nFinal Answer: [9, 79, 48, 93, 66, 52, 77... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 - 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/6 - 10/20. LCD = 2. Result = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 131 km apart. Their speeds are 64 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+58=122 km/h. Time = 131/122 = 1.0738 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 85 = 7140.\n</reasoning>\nFinal Answer: 7140"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 495."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 495 by smallest primes repeatedly: 495 = 3 × 3 × 5 × 11.\n</reasoning>\nFinal Answer: 3 × 3 × 5 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "27 is what percentage of 259?"
},
{
"role": "assistant",
"content": "<reasoning>\n(27/259) × 100 = 10.4247%.\n</reasoning>\nFinal Answer: 10.4247%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 1 = 21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 2x = 20. Divide by 2: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "401 is what percentage of 494?"
},
{
"role": "assistant",
"content": "<reasoning>\n(401/494) × 100 = 81.1741%.\n</reasoning>\nFinal Answer: 81.1741%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28024 at 12% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28024 × 12 × 1 / 100 = 3362.88.\n</reasoning>\nFinal Answer: 3362.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 * 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/9) × (15/11) = (135/99) = 15/11 after simplification.\n</reasoning>\nFinal Answer: 15/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [30, 26, 50, 52, 30, 20, 23, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 20 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 16] and B = [1, 4, 10, 13, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 10, 13, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 5, 10, 13, 16, 18, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 17, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (19-1)×17 = 23 + 306 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 3 = -258"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 29x = -261. Divide by 29: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 7, 20, 65, 8, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 8, 20, 37, 65, 98]. Middle value(s) → median = 28.5.\n</reasoning>\nFinal Answer: 28.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 + 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/5 + 18/1. Common denominator = 5. Result = 103/5.\n</reasoning>\nFinal Answer: 103/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 6 = -255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 9x = -261. Divide by 9: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:6 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/6, so B = A × (6/42) = 74 × 6/42 = 10.5714.\n</reasoning>\nFinal Answer: 10.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 39, 57, 75, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 18. Next term = 93 + 18 = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 / 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/6) ÷ (10/4) = (9/6) × (4/10) = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 3 + 39 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×3=33 and 39×44=1716, then add: 1749.\n</reasoning>\nFinal Answer: 1749"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 25) * (26 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+25)=30, (26-41)=-15, then 30×-15=-450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 391 × 297"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 391 by 297: 391 × 297 = 116127.\n</reasoning>\nFinal Answer: 116127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 26, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 26 + 40 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×29)/1 = 551.\n</reasoning>\nFinal Answer: 551"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:6 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/6, so B = A × (6/33) = 77 × 6/33 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -46 = -38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 8x = 8. Divide by 8: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 27 * 48 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×48=1296, then 19+1296-34=1281.\n</reasoning>\nFinal Answer: 1281"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 27, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 27 + 30 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -663 mod -170"
},
{
"role": "assistant",
"content": "<reasoning>\n-663 mod -170: -663 = -170 × 3 + -153, so remainder = -153.\n</reasoning>\nFinal Answer: -153"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:44 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/44, so B = A × (44/33) = 98 × 44/33 = 130.6667.\n</reasoning>\nFinal Answer: 130.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -23 = -465"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 17x = -442. Divide by 17: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 30 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 30 = 570 worker-days. New time = 570 / 14 = 40.7143 days.\n</reasoning>\nFinal Answer: 40.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 83 = 8300.\n</reasoning>\nFinal Answer: 8300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 77 apples and buys 180 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 77 + 180 = 257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×9)/1 = 315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:44 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/44, so B = A × (44/1) = 99 × 44/1 = 4356.0.\n</reasoning>\nFinal Answer: 4356.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:3 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/3, so B = A × (3/27) = 3 × 3/27 = 0.3333.\n</reasoning>\nFinal Answer: 0.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 45 = 3645.\n</reasoning>\nFinal Answer: 3645"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 10, 51, 1, 93, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 1 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 11 * 13 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×13=143, then 47+143-32=158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 300 × 226"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 300 by 226: 300 × 226 = 67800.\n</reasoning>\nFinal Answer: 67800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 8 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 46/60 = 8.7667 hours. Distance = speed × time = 157 × 8.7667 = 1376.3667 km.\n</reasoning>\nFinal Answer: 1376.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 38 + 49 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×38=1862 and 49×25=1225, then add: 3087.\n</reasoning>\nFinal Answer: 3087"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 646 km apart. Their speeds are 54 km/h and 91 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+91=145 km/h. Time = 646/145 = 4.4552 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 38 + 31 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×38=1672 and 31×18=558, then add: 2230.\n</reasoning>\nFinal Answer: 2230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×14)/2 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 30% of 820?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 820 = (30/100) × 820 = 246.0.\n</reasoning>\nFinal Answer: 246.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:46 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/46, so B = A × (46/44) = 84 × 46/44 = 87.8182.\n</reasoning>\nFinal Answer: 87.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33643 at 20% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33643 × 20 × 3 / 100 = 20185.8.\n</reasoning>\nFinal Answer: 20185.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -24 = 136"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 8x = 160. Divide by 8: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -24 = 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 11x = 231. Divide by 11: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 15 = 379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 26x = 364. Divide by 26: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 47 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 47 × 11 = 517.\n</reasoning>\nFinal Answer: 517"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 77 = 2387.\n</reasoning>\nFinal Answer: 2387"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 6, 7, 14, 15, 17] and B = [1, 6, 7], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 6, 7, 14, 15, 17].\n</reasoning>\nFinal Answer: [1, 3, 5, 6, 7, 14, 15, 17]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 34, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 34 + 39 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 9, 86, 97, 59, 10, 62, 25, 83, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 455/10 = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 6 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 6/11 = 0.5455.\n</reasoning>\nFinal Answer: 0.5455"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -49 = 328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 29x = 377. Divide by 29: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 370 + 402"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 370 and 402: 370 + 402 = 772.\n</reasoning>\nFinal Answer: 772"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 25 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 42+625-4=663.\n</reasoning>\nFinal Answer: 663"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 6 = -944"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 19x = -950. Divide by 19: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -27 = 155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 13x = 182. Divide by 13: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 183 and 172."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(183,172) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -286 mod 798"
},
{
"role": "assistant",
"content": "<reasoning>\n-286 mod 798: -286 = 798 × -1 + 512, so remainder = 512.\n</reasoning>\nFinal Answer: 512"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 183 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 183 × (1 + 7/100) = 183 × 1.07 = 195.81.\n</reasoning>\nFinal Answer: 195.81"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 597 km apart. Their speeds are 51 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+66=117 km/h. Time = 597/117 = 5.1026 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -27 = -199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 4x = -172. Divide by 4: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 9, 10, 13, 15] and B = [13, 14, 16, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 7, 9, 10, 15].\n</reasoning>\nFinal Answer: [5, 7, 9, 10, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 2 = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 54, 31, 100, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 236/5 = 47.2.\n</reasoning>\nFinal Answer: 47.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 42) * (16 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+42)=75, (16-29)=-13, then 75×-13=-975.\n</reasoning>\nFinal Answer: -975"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 / 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/8) ÷ (12/14) = (1/8) × (14/12) = 7/48.\n</reasoning>\nFinal Answer: 7/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 36 = -654"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 23x = -690. Divide by 23: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 871 ÷ 637"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 871 by 637. 871 ÷ 637 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 7, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (24-1)×7 = 6 + 161 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -710 × 568"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -710 by 568: -710 × 568 = -403280.\n</reasoning>\nFinal Answer: -403280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -431 - -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -104 from -431: -431 - -104 = -327.\n</reasoning>\nFinal Answer: -327"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 325 ÷ 948"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 325 by 948. 325 ÷ 948 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 16 + 35 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×16=448 and 35×6=210, then add: 658.\n</reasoning>\nFinal Answer: 658"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 79, 99, 28, 31, 5, 10, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 405/8 = 50.625.\n</reasoning>\nFinal Answer: 50.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 + 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/4 + 16/4. Common denominator = 4. Result = 35/4.\n</reasoning>\nFinal Answer: 35/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 29 = 545"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 12x = 516. Divide by 12: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 291 × -290"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 291 by -290: 291 × -290 = -84390.\n</reasoning>\nFinal Answer: -84390"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 6 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 17/60 = 6.2833 hours. Distance = speed × time = 108 × 6.2833 = 678.6 km.\n</reasoning>\nFinal Answer: 678.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
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