messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 29 = 768.5.\n</reasoning>\nFinal Answer: 768.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3124. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3124 × 5/100 = 156.2. Total = 3124 + 156.2 = 3280.2.\n</reasoning>\nFinal Answer: 3280.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 180 + -902"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 180 and -902: 180 + -902 = -722.\n</reasoning>\nFinal Answer: -722"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 76, 75, 43, 99, 22, 81, 25, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 22 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 27, 4, 94, 75, 24, 52, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 4 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 41 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 6x = 54. Divide by 6: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 790 - 640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 640 from 790: 790 - 640 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 251 - 984"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 984 from 251: 251 - 984 = -733.\n</reasoning>\nFinal Answer: -733"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×5)/1 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 59 = 5310.\n</reasoning>\nFinal Answer: 5310"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 10, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (29-1)×10 = 34 + 280 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+20) = 2×100 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:33 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/33, so B = A × (33/36) = 4 × 33/36 = 3.6667.\n</reasoning>\nFinal Answer: 3.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 144 km apart. Their speeds are 54 km/h and 46 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+46=100 km/h. Time = 144/100 = 1.44 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -658 ÷ 879"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -658 by 879. -658 ÷ 879 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 37 + 1 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×37=444 and 1×48=48, then add: 492.\n</reasoning>\nFinal Answer: 492"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -817 + -784"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -817 and -784: -817 + -784 = -1601.\n</reasoning>\nFinal Answer: -1601"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 142 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(142,120) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 12, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (19-1)×12 = 24 + 216 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 48, 70, 8, 90, 37, 14, 25, 98, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 486/10 = 48.6.\n</reasoning>\nFinal Answer: 48.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 124 × 550"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 124 by 550: 124 × 550 = 68200.\n</reasoning>\nFinal Answer: 68200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:49 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/49, so B = A × (49/27) = 72 × 49/27 = 130.6667.\n</reasoning>\nFinal Answer: 130.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -931 - -415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -415 from -931: -931 - -415 = -516.\n</reasoning>\nFinal Answer: -516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:23 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/23, so B = A × (23/45) = 24 × 23/45 = 12.2667.\n</reasoning>\nFinal Answer: 12.2667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 35 + 24 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×35=1715 and 24×36=864, then add: 2579.\n</reasoning>\nFinal Answer: 2579"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:46 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/46, so B = A × (46/44) = 36 × 46/44 = 37.6364.\n</reasoning>\nFinal Answer: 37.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 35 * 43 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×43=1505, then 29+1505-28=1506.\n</reasoning>\nFinal Answer: 1506"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 3, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (20-1)×3 = 26 + 57 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 48 apples and buys 35 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 48 + 35 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 + 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/12 + 2/14. Common denominator = 84. Result = 145/84.\n</reasoning>\nFinal Answer: 145/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 16 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 16 = 272 worker-days. New time = 272 / 5 = 54.4 days.\n</reasoning>\nFinal Answer: 54.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 20) * (17 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+20)=28, (17-45)=-28, then 28×-28=-784.\n</reasoning>\nFinal Answer: -784"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 89, 98, 92, 8, 41, 100, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 29, 37, 41, 89, 92, 98, 100]. Middle value(s) → median = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 285 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 285 × (1 - 40/100) = 285 × 0.6 = 171.0.\n</reasoning>\nFinal Answer: 171.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 56, 21, 53, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 188/5 = 37.6.\n</reasoning>\nFinal Answer: 37.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -673 mod 846"
},
{
"role": "assistant",
"content": "<reasoning>\n-673 mod 846: -673 = 846 × -1 + 173, so remainder = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 156."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 156 by smallest primes repeatedly: 156 = 2 × 2 × 3 × 13.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 22 + 37 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×22=660 and 37×26=962, then add: 1622.\n</reasoning>\nFinal Answer: 1622"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 166 mod 24"
},
{
"role": "assistant",
"content": "<reasoning>\n166 mod 24: 166 = 24 × 6 + 22, so remainder = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37913 at 1% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37913 × 1 × 3 / 100 = 1137.39.\n</reasoning>\nFinal Answer: 1137.39"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 759 mod 235"
},
{
"role": "assistant",
"content": "<reasoning>\n759 mod 235: 759 = 235 × 3 + 54, so remainder = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 41) * (22 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+41)=47, (22-17)=5, then 47×5=235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -606 ÷ -446"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -606 by -446. -606 ÷ -446 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 100 = 4150.0.\n</reasoning>\nFinal Answer: 4150.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 345 + 339"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 345 and 339: 345 + 339 = 684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 48 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 41+2304-15=2330.\n</reasoning>\nFinal Answer: 2330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 41, 66, 25, 91, 84, 52, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 503/8 = 62.875.\n</reasoning>\nFinal Answer: 62.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:24 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/24, so B = A × (24/35) = 1 × 24/35 = 0.6857.\n</reasoning>\nFinal Answer: 0.6857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 30% of 443?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 443 = (30/100) × 443 = 132.9.\n</reasoning>\nFinal Answer: 132.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 75 = 7500.\n</reasoning>\nFinal Answer: 7500"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:17 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/17, so B = A × (17/48) = 43 × 17/48 = 15.2292.\n</reasoning>\nFinal Answer: 15.2292"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 - 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/14 - 2/18. LCD = 18. Result = 7/18.\n</reasoning>\nFinal Answer: 7/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "243 is what percentage of 328?"
},
{
"role": "assistant",
"content": "<reasoning>\n(243/328) × 100 = 74.0854%.\n</reasoning>\nFinal Answer: 74.0854%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 960 km apart. Their speeds are 89 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+65=154 km/h. Time = 960/154 = 6.2338 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 14, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (50-1)×14 = 16 + 686 = 702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 97 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 97 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 832 km apart. Their speeds are 85 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+66=151 km/h. Time = 832/151 = 5.5099 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 37 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 37 × 64 = 2368.\n</reasoning>\nFinal Answer: 2368"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 129 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 129 + 44 = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 33 = 627.\n</reasoning>\nFinal Answer: 627"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 64 = 3648.\n</reasoning>\nFinal Answer: 3648"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49087 at 9% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49087 × 9 × 1 / 100 = 4417.83.\n</reasoning>\nFinal Answer: 4417.83"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 77 ÷ 106"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 77 by 106. 77 ÷ 106 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -320 ÷ -282"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -320 by -282. -320 ÷ -282 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -714 mod 533"
},
{
"role": "assistant",
"content": "<reasoning>\n-714 mod 533: -714 = 533 × -2 + 352, so remainder = 352.\n</reasoning>\nFinal Answer: 352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 38, 48, 65, 53, 23, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 23 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 9/13 * 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/13) × (17/7) = (153/91) = 153/91 after simplification.\n</reasoning>\nFinal Answer: 153/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 1 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 3x = 45. Divide by 3: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 8 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 8 = 80 worker-days. New time = 80 / 15 = 5.3333 days.\n</reasoning>\nFinal Answer: 5.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 91 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 91 × (1 - 17/100) = 91 × 0.83 = 75.53.\n</reasoning>\nFinal Answer: 75.53"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 761 km apart. Their speeds are 117 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+116=233 km/h. Time = 761/233 = 3.2661 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -338 ÷ 507"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -338 by 507. -338 ÷ 507 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 661 ÷ -409"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 661 by -409. 661 ÷ -409 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 703 mod -324"
},
{
"role": "assistant",
"content": "<reasoning>\n703 mod -324: 703 = -324 × -3 + -269, so remainder = -269.\n</reasoning>\nFinal Answer: -269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 is what percentage of 822?"
},
{
"role": "assistant",
"content": "<reasoning>\n(10/822) × 100 = 1.2165%.\n</reasoning>\nFinal Answer: 1.2165%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 4/12 + 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/12 + 17/1. Common denominator = 3. Result = 52/3.\n</reasoning>\nFinal Answer: 52/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 262."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 262 by smallest primes repeatedly: 262 = 2 × 131.\n</reasoning>\nFinal Answer: 2 × 131"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -311 + 463"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -311 and 463: -311 + 463 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 12 = 278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 7x = 266. Divide by 7: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 50 = 6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 2x = -44. Divide by 2: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 121 ÷ 780"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 121 by 780. 121 ÷ 780 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 60 = 2700.\n</reasoning>\nFinal Answer: 2700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 479 - 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 431 from 479: 479 - 431 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 745 × 335"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 745 by 335: 745 × 335 = 249575.\n</reasoning>\nFinal Answer: 249575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 51, 8, 37, 81, 76, 100, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 423/8 = 52.875.\n</reasoning>\nFinal Answer: 52.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -649 + 343"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -649 and 343: -649 + 343 = -306.\n</reasoning>\nFinal Answer: -306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 27 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 27 = 216 worker-days. New time = 216 / 7 = 30.8571 days.\n</reasoning>\nFinal Answer: 30.8571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 964 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 964 × (1 + 3/100) = 964 × 1.03 = 992.92.\n</reasoning>\nFinal Answer: 992.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 458 × 558"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 458 by 558: 458 × 558 = 255564.\n</reasoning>\nFinal Answer: 255564"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 67 and 140."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(67,140) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 3 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 1/60 = 3.0167 hours. Distance = speed × time = 46 × 3.0167 = 138.7667 km.\n</reasoning>\nFinal Answer: 138.7667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -22 = -687"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 19x = -665. Divide by 19: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:38 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/38, so B = A × (38/36) = 89 × 38/36 = 93.9444.\n</reasoning>\nFinal Answer: 93.9444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -585 + -132"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -585 and -132: -585 + -132 = -717.\n</reasoning>\nFinal Answer: -717"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 10 and 64."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(10,64) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 20) * (22 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+20)=50, (22-9)=13, then 50×13=650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 23 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 23 = 184 worker-days. New time = 184 / 8 = 23.0 days.\n</reasoning>\nFinal Answer: 23.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -30 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 27x = 54. Divide by 27: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 24, 33, 62, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 16 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 867 km apart. Their speeds are 51 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+50=101 km/h. Time = 867/101 = 8.5842 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
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