messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 67 = 1876.\n</reasoning>\nFinal Answer: 1876"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 149 km apart. Their speeds are 65 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+72=137 km/h. Time = 149/137 = 1.0876 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 18 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 18 = 252 worker-days. New time = 252 / 3 = 84.0 days.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×5)/1 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [53, 71, 54, 6, 49, 35, 79, 88, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 493/9 = 54.7778.\n</reasoning>\nFinal Answer: 54.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 2 apples and buys 15 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 2 + 15 = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 142 km/h. How far does it travel in 2 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 24/60 = 2.4000 hours. Distance = speed × time = 142 × 2.4000 = 340.8 km.\n</reasoning>\nFinal Answer: 340.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 821 + -879"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 821 and -879: 821 + -879 = -58.\n</reasoning>\nFinal Answer: -58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×32)/1 = 1440.\n</reasoning>\nFinal Answer: 1440"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 157 and 55."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(157,55) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 5 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 5 = 25 worker-days. New time = 25 / 12 = 2.0833 days.\n</reasoning>\nFinal Answer: 2.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 9 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 49/60 = 9.8167 hours. Distance = speed × time = 95 × 9.8167 = 932.5833 km.\n</reasoning>\nFinal Answer: 932.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -692 - 569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 569 from -692: -692 - 569 = -1261.\n</reasoning>\nFinal Answer: -1261"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 264 km apart. Their speeds are 84 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+118=202 km/h. Time = 264/202 = 1.3069 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2536. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2536 × 28/100 = 710.08. Total = 2536 + 710.08 = 3246.08.\n</reasoning>\nFinal Answer: 3246.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 135 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(135,35) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 9, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (12-1)×9 = 47 + 99 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 169 apples and buys 133 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 169 + 133 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×4)/1 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,31) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 156 km/h. How far does it travel in 6 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 53/60 = 6.8833 hours. Distance = speed × time = 156 × 6.8833 = 1073.8 km.\n</reasoning>\nFinal Answer: 1073.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4703. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4703 × 12/100 = 564.36. Total = 4703 + 564.36 = 5267.36.\n</reasoning>\nFinal Answer: 5267.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 445 - 415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 415 from 445: 445 - 415 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:11 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/11, so B = A × (11/33) = 65 × 11/33 = 21.6667.\n</reasoning>\nFinal Answer: 21.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 90 = 3690.0.\n</reasoning>\nFinal Answer: 3690.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 213 km apart. Their speeds are 97 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+50=147 km/h. Time = 213/147 = 1.449 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:14 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/14, so B = A × (14/23) = 46 × 14/23 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -571 - 528"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 528 from -571: -571 - 528 = -1099.\n</reasoning>\nFinal Answer: -1099"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -15 = -908"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 19x = -893. Divide by 19: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 40% of 585?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 585 = (40/100) × 585 = 234.0.\n</reasoning>\nFinal Answer: 234.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 62 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 62 × 61 = 3782.\n</reasoning>\nFinal Answer: 3782"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -41 = 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 18x = 288. Divide by 18: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 27 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 27 × 48 = 648.0.\n</reasoning>\nFinal Answer: 648.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -15 = 997"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 23x = 1012. Divide by 23: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 19 * 30 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×30=570, then 25+570-39=556.\n</reasoning>\nFinal Answer: 556"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 821 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 821 × (1 + 15/100) = 821 × 1.15 = 944.15.\n</reasoning>\nFinal Answer: 944.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20769 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20769 × 13 × 5 / 100 = 13499.85.\n</reasoning>\nFinal Answer: 13499.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 91 apples and buys 94 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 91 + 94 = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 47 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 46+2209-23=2232.\n</reasoning>\nFinal Answer: 2232"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (76)x + (360) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 76² - 4×4×360 = 16. √discriminant = 4. x = (-(76) ± 4) / (2×4). Solutions: x = -10 or x = -9.\n</reasoning>\nFinal Answer: x = -10 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 47 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+47) × 7 = 315.0.\n</reasoning>\nFinal Answer: 315.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -732 - 56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 56 from -732: -732 - 56 = -788.\n</reasoning>\nFinal Answer: -788"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:6 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/6, so B = A × (6/46) = 100 × 6/46 = 13.0435.\n</reasoning>\nFinal Answer: 13.0435"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 93, 97, 8, 94, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 8 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 + 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/14 + 18/14. Common denominator = 7. Result = 10/7.\n</reasoning>\nFinal Answer: 10/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 54 = 2484.0.\n</reasoning>\nFinal Answer: 2484.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:21 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/21, so B = A × (21/35) = 23 × 21/35 = 13.8.\n</reasoning>\nFinal Answer: 13.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 35, 25, 61, 42, 43, 20, 72, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 25, 31, 35, 41, 42, 43, 61, 72]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 22 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 22 × 43 = 473.0.\n</reasoning>\nFinal Answer: 473.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 11 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+11) × 32 = 608.0.\n</reasoning>\nFinal Answer: 608.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 45 = -428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 11x = -473. Divide by 11: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 53 apples and buys 33 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 53 + 33 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 16, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (38-1)×16 = 14 + 592 = 606.\n</reasoning>\nFinal Answer: 606"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "773 is what percentage of 870?"
},
{
"role": "assistant",
"content": "<reasoning>\n(773/870) × 100 = 88.8506%.\n</reasoning>\nFinal Answer: 88.8506%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 864 + -953"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 864 and -953: 864 + -953 = -89.\n</reasoning>\nFinal Answer: -89"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/2 / 1/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/2) ÷ (1/12) = (6/2) × (12/1) = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 0 = 176"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 16x = 176. Divide by 16: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 789 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 789 × (1 - 30/100) = 789 × 0.7 = 552.3.\n</reasoning>\nFinal Answer: 552.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 17 = -583"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 25x = -600. Divide by 25: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 19, 48, 100, 64, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 386/6 = 64.3333.\n</reasoning>\nFinal Answer: 64.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -359 mod 534"
},
{
"role": "assistant",
"content": "<reasoning>\n-359 mod 534: -359 = 534 × -1 + 175, so remainder = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 70 = 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -212 + 783"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -212 and 783: -212 + 783 = 571.\n</reasoning>\nFinal Answer: 571"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:2 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/2, so B = A × (2/44) = 49 × 2/44 = 2.2273.\n</reasoning>\nFinal Answer: 2.2273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 45, 31, 88, 92, 95, 13, 43, 14, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 13 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 110."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 110 by smallest primes repeatedly: 110 = 2 × 5 × 11.\n</reasoning>\nFinal Answer: 2 × 5 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 90 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(90+96) = 2×186 = 372.\n</reasoning>\nFinal Answer: 372"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 10, 11] and B = [8, 15, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 10, 11].\n</reasoning>\nFinal Answer: [2, 4, 10, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 24 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 24 × 70 = 1680.\n</reasoning>\nFinal Answer: 1680"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 6 = 285.0.\n</reasoning>\nFinal Answer: 285.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×32)/1 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 45, 38, 25, 15, 91, 92, 6, 14, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 14, 15, 25, 31, 38, 45, 46, 91, 92]. Middle value(s) → median = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 57, 54, 75, 41, 88, 50, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 533/8 = 66.625.\n</reasoning>\nFinal Answer: 66.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 100, 8, 9, 3, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 100: 1, 8: 1, 9: 1, 3: 1, 66: 1}. Most frequent: [61, 100, 8, 9, 3, 66].\n</reasoning>\nFinal Answer: [61, 100, 8, 9, 3, 66]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3667 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3667 × 19 × 7 / 100 = 4877.11.\n</reasoning>\nFinal Answer: 4877.11"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -916 + -866"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -916 and -866: -916 + -866 = -1782.\n</reasoning>\nFinal Answer: -1782"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -999 - 430"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 430 from -999: -999 - 430 = -1429.\n</reasoning>\nFinal Answer: -1429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 82 and 152."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(82,152) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 2 + 2 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×2=36 and 2×19=38, then add: 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 25% of 27?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 27 = (25/100) × 27 = 6.75.\n</reasoning>\nFinal Answer: 6.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 15 + 16 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×15=75 and 16×1=16, then add: 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -44 = -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 9x = -63. Divide by 9: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 50 km/h. How far does it travel in 4 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 36/60 = 4.6000 hours. Distance = speed × time = 50 × 4.6000 = 230.0 km.\n</reasoning>\nFinal Answer: 230.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 / 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/6) ÷ (9/20) = (19/6) × (20/9) = 190/27.\n</reasoning>\nFinal Answer: 190/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 9, 11, 12, 14] and B = [1, 4, 11, 12, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 9, 11, 12, 13, 14].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 9, 11, 12,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:8 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/8, so B = A × (8/12) = 45 × 8/12 = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -328 + 160"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -328 and 160: -328 + 160 = -168.\n</reasoning>\nFinal Answer: -168"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 18, 72, 31, 5, 71, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 11, 18, 31, 46, 71, 72]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 986 × -644"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 986 by -644: 986 × -644 = -634984.\n</reasoning>\nFinal Answer: -634984"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 67, 5, 10, 52, 33, 5, 34, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 67: 1, 5: 2, 10: 1, 52: 1, 33: 1, 34: 1, 85: 1}. Most frequent: 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -599 ÷ -42"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -599 by -42. -599 ÷ -42 = 14 (integer division).\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:47 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/47, so B = A × (47/12) = 78 × 47/12 = 305.5.\n</reasoning>\nFinal Answer: 305.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -17 = 391"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 12x = 408. Divide by 12: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 27 = 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 4x = -4. Divide by 4: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 50 km/h. How far does it travel in 3 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 15/60 = 3.2500 hours. Distance = speed × time = 50 × 3.2500 = 162.5 km.\n</reasoning>\nFinal Answer: 162.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 299 + 353"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 299 and 353: 299 + 353 = 652.\n</reasoning>\nFinal Answer: 652"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:21 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/21, so B = A × (21/17) = 14 × 21/17 = 17.2941.\n</reasoning>\nFinal Answer: 17.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 50 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+50) × 44 = 1430.0.\n</reasoning>\nFinal Answer: 1430.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 26 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 26 = 182 worker-days. New time = 182 / 16 = 11.375 days.\n</reasoning>\nFinal Answer: 11.375"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 34 * 41 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×41=1394, then 26+1394-3=1417.\n</reasoning>\nFinal Answer: 1417"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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