messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 4) * (36 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+4)=31, (36-15)=21, then 31×21=651.\n</reasoning>\nFinal Answer: 651"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 + 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/15 + 1/18. Common denominator = 90. Result = 53/90.\n</reasoning>\nFinal Answer: 53/90"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 742 - 652"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 652 from 742: 742 - 652 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:36 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/36, so B = A × (36/22) = 14 × 36/22 = 22.9091.\n</reasoning>\nFinal Answer: 22.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -37 = -757"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 18x = -720. Divide by 18: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -27 = -1269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 27x = -1242. Divide by 27: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 20 * 35 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×35=700, then 45+700-11=734.\n</reasoning>\nFinal Answer: 734"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 26) * (21 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+26)=57, (21-23)=-2, then 57×-2=-114.\n</reasoning>\nFinal Answer: -114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 68 = 2788.0.\n</reasoning>\nFinal Answer: 2788.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 55 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 55 × 28 = 1540.\n</reasoning>\nFinal Answer: 1540"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 45, 32, 82, 52, 44, 73, 29, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 29, 32, 44, 45, 52, 73, 82, 82]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×13)/1 = 390.\n</reasoning>\nFinal Answer: 390"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 88, 34, 19, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 256/5 = 51.2.\n</reasoning>\nFinal Answer: 51.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 760 - 326"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 326 from 760: 760 - 326 = 434.\n</reasoning>\nFinal Answer: 434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 14 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+14) × 24 = 360.0.\n</reasoning>\nFinal Answer: 360.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 903 ÷ 914"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 903 by 914. 903 ÷ 914 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 1 + 44 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×1=23 and 44×14=616, then add: 639.\n</reasoning>\nFinal Answer: 639"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 32 = -448"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 24x = -480. Divide by 24: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 226 - -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -730 from 226: 226 - -730 = 956.\n</reasoning>\nFinal Answer: 956"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 9, 100, 76, 58, 12, 98, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 9: 1, 100: 1, 76: 1, 58: 1, 12: 1, 98: 1, 61: 1}. Most frequent: [89, 9, 100, 76, 58, 12, 98, 61].\n</reasoning>\nFinal Answer: [89, 9, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 126 apples and buys 148 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 126 + 148 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 5."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+5) = 2×19 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 459 mod -104"
},
{
"role": "assistant",
"content": "<reasoning>\n459 mod -104: 459 = -104 × -5 + -61, so remainder = -61.\n</reasoning>\nFinal Answer: -61"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 / 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/5) ÷ (17/13) = (20/5) × (13/17) = 52/17.\n</reasoning>\nFinal Answer: 52/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 607 × -239"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 607 by -239: 607 × -239 = -145073.\n</reasoning>\nFinal Answer: -145073"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 - 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/5 - 10/6. LCD = 3. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 42, 18, 6, 46, 3, 54, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 6, 18, 34, 42, 46, 54, 82]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 40 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 13+1600-5=1608.\n</reasoning>\nFinal Answer: 1608"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 39 * 13 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×13=507, then 42+507-17=532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 * 12/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/17) × (12/14) = (120/238) = 60/119 after simplification.\n</reasoning>\nFinal Answer: 60/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:22 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/22, so B = A × (22/20) = 8 × 22/20 = 8.8.\n</reasoning>\nFinal Answer: 8.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 12, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (44-1)×12 = 9 + 516 = 525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 7 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 53/60 = 7.8833 hours. Distance = speed × time = 97 × 7.8833 = 764.6833 km.\n</reasoning>\nFinal Answer: 764.6833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 91 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 91 × 37 = 3367.\n</reasoning>\nFinal Answer: 3367"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -17 = 49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 3x = 66. Divide by 3: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 8 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 8 = 88 worker-days. New time = 88 / 11 = 8.0 days.\n</reasoning>\nFinal Answer: 8.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 95, 64, 86, 97, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 20 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 38) * (39 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+38)=63, (39-26)=13, then 63×13=819.\n</reasoning>\nFinal Answer: 819"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 69, 62, 52, 81, 84, 79, 10, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 44, 52, 62, 69, 79, 81, 84, 97]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -717 × 764"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -717 by 764: -717 × 764 = -547788.\n</reasoning>\nFinal Answer: -547788"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 892 - -397"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -397 from 892: 892 - -397 = 1289.\n</reasoning>\nFinal Answer: 1289"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 + 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/5 + 8/4. Common denominator = 5. Result = 28/5.\n</reasoning>\nFinal Answer: 28/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 1 = 833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 26x = 832. Divide by 26: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 + 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/11 + 16/15. Common denominator = 165. Result = 221/165.\n</reasoning>\nFinal Answer: 221/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (12)x + (-216) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×4×-216 = 3600. √discriminant = 60. x = (-(12) ± 60) / (2×4). Solutions: x = 6 or x = -9.\n</reasoning>\nFinal Answer: x = 6 or x = -9"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 56 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 56 × 69 = 3864.\n</reasoning>\nFinal Answer: 3864"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 345 + -637"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 345 and -637: 345 + -637 = -292.\n</reasoning>\nFinal Answer: -292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 8, 9, 11, 15, 19] and B = [2, 6, 9, 10, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 6, 8, 9, 10, 11, 15, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 4, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -844 - 52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 52 from -844: -844 - 52 = -896.\n</reasoning>\nFinal Answer: -896"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 714?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 714 = (75/100) × 714 = 535.5.\n</reasoning>\nFinal Answer: 535.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 1 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 2+1-18=-15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 64 apples and buys 92 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 64 + 92 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 24 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 24 × 87 = 1044.0.\n</reasoning>\nFinal Answer: 1044.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 266."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 266 by smallest primes repeatedly: 266 = 2 × 7 × 19.\n</reasoning>\nFinal Answer: 2 × 7 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 6, 20, 44, 58, 8, 44, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 6: 1, 20: 1, 44: 3, 58: 1, 8: 1}. Most frequent: 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 970 mod 200"
},
{
"role": "assistant",
"content": "<reasoning>\n970 mod 200: 970 = 200 × 4 + 170, so remainder = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 176 + 55"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 176 and 55: 176 + 55 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 0 = 36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 2x = 36. Divide by 2: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 6 apples and buys 68 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 6 + 68 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 850 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 850 × (1 + 90/100) = 850 × 1.9 = 1615.0.\n</reasoning>\nFinal Answer: 1615.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 15, 63, 23, 69, 74, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 15: 1, 63: 1, 23: 1, 69: 1, 74: 1, 13: 1}. Most frequent: [17, 15, 63, 23, 69, 74, 13].\n</reasoning>\nFinal Answer: [17, 15, 63, 23, 69, 74... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 41) * (35 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+41)=74, (35-2)=33, then 74×33=2442.\n</reasoning>\nFinal Answer: 2442"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -342 + -416"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -342 and -416: -342 + -416 = -758.\n</reasoning>\nFinal Answer: -758"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -959 - 529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 529 from -959: -959 - 529 = -1488.\n</reasoning>\nFinal Answer: -1488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 17 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 17 = 119 worker-days. New time = 119 / 12 = 9.9167 days.\n</reasoning>\nFinal Answer: 9.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 801 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 801 × (1 - 60/100) = 801 × 0.4 = 320.4.\n</reasoning>\nFinal Answer: 320.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:15 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/15, so B = A × (15/6) = 54 × 15/6 = 135.0.\n</reasoning>\nFinal Answer: 135.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 / 4/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/10) ÷ (4/18) = (8/10) × (18/4) = 18/5.\n</reasoning>\nFinal Answer: 18/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:16 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/16, so B = A × (16/50) = 85 × 16/50 = 27.2.\n</reasoning>\nFinal Answer: 27.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -522 + 525"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -522 and 525: -522 + 525 = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 85 = 3145.\n</reasoning>\nFinal Answer: 3145"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 43 + 26 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×43=1806 and 26×35=910, then add: 2716.\n</reasoning>\nFinal Answer: 2716"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 - 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/1 - 2/19. LCD = 19. Result = 283/19.\n</reasoning>\nFinal Answer: 283/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 45 = 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 13x = 182. Divide by 13: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 13 = -287"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 20x = -300. Divide by 20: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -505 × -230"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -505 by -230: -505 × -230 = 116150.\n</reasoning>\nFinal Answer: 116150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -11 = 19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 1x = 30. Divide by 1: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 196 and 61."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(196,61) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 567 km apart. Their speeds are 109 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+47=156 km/h. Time = 567/156 = 3.6346 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/7 + 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/7 + 1/19. Common denominator = 133. Result = 102/133.\n</reasoning>\nFinal Answer: 102/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 46, 95, 11, 79, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 46, 54, 79, 87, 95]. Middle value(s) → median = 66.5.\n</reasoning>\nFinal Answer: 66.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 61 = 1128.5.\n</reasoning>\nFinal Answer: 1128.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 20, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (27-1)×20 = 38 + 520 = 558.\n</reasoning>\nFinal Answer: 558"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹4104. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4104 × 28/100 = 1149.12. Total = 4104 + 1149.12 = 5253.12.\n</reasoning>\nFinal Answer: 5253.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 38, 73, 69, 56, 68, 71, 38, 100, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 38: 2, 73: 1, 69: 1, 56: 1, 68: 1, 71: 1, 100: 1, 66: 1}. Most frequent: 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 12, 48, 4, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 102/5 = 20.4.\n</reasoning>\nFinal Answer: 20.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 25, 32, 48, 52, 33, 40, 98, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 25 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -641 × -673"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -641 by -673: -641 × -673 = 431393.\n</reasoning>\nFinal Answer: 431393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 27 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+27) × 14 = 350.0.\n</reasoning>\nFinal Answer: 350.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 120 mod 59"
},
{
"role": "assistant",
"content": "<reasoning>\n120 mod 59: 120 = 59 × 2 + 2, so remainder = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 - 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/18 - 2/4. LCD = 18. Result = -7/18.\n</reasoning>\nFinal Answer: -7/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 866?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 866 = (15/100) × 866 = 129.9.\n</reasoning>\nFinal Answer: 129.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 12% of 932?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 932 = (12/100) × 932 = 111.84.\n</reasoning>\nFinal Answer: 111.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -29 = 1381"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 30x = 1410. Divide by 30: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 30, 87, 83, 8, 36, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 8 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 33, 49, 42, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 33, 42, 49, 71]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 10, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (40-1)×10 = 45 + 390 = 435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 70% of 774?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 774 = (70/100) × 774 = 541.8.\n</reasoning>\nFinal Answer: 541.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 17] and B = [8, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 8, 12, 15, 17, 18].\n</reasoning>\nFinal Answer: [5, 8, 12, 15, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 46, 66, 86, 106]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 20. Next term = 106 + 20 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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