messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 66 = 2970.0.\n</reasoning>\nFinal Answer: 2970.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1304. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1304 × 5/100 = 65.2. Total = 1304 + 65.2 = 1369.2.\n</reasoning>\nFinal Answer: 1369.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -902 + 186"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -902 and 186: -902 + 186 = -716.\n</reasoning>\nFinal Answer: -716"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:16 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/16, so B = A × (16/29) = 98 × 16/29 = 54.069.\n</reasoning>\nFinal Answer: 54.069"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 64 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(64+92) = 2×156 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [41, 63, 96, 16, 79, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 16 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 496 + 255"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 496 and 255: 496 + 255 = 751.\n</reasoning>\nFinal Answer: 751"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 25, 78, 7, 6, 38, 77, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 7, 25, 28, 38, 77, 78, 87]. Middle value(s) → median = 33.0.\n</reasoning>\nFinal Answer: 33.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 255 × -717"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 255 by -717: 255 × -717 = -182835.\n</reasoning>\nFinal Answer: -182835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 3 + 38 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×3=147 and 38×20=760, then add: 907.\n</reasoning>\nFinal Answer: 907"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 24, 54, 40, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 142/5 = 28.4.\n</reasoning>\nFinal Answer: 28.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 33 = 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 13x = 169. Divide by 13: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 57 - 580"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 580 from 57: 57 - 580 = -523.\n</reasoning>\nFinal Answer: -523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:4 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/4, so B = A × (4/16) = 2 × 4/16 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 7% of 117?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 117 = (7/100) × 117 = 8.19.\n</reasoning>\nFinal Answer: 8.19"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 107."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 107 by smallest primes repeatedly: 107 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 40, 62, 42, 71, 22, 3, 57, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 40: 1, 62: 1, 42: 1, 71: 1, 22: 1, 3: 1, 57: 1, 74: 1}. Most frequent: [38, 40, 62, 42, 71, 22, 3, 57, 74].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 36, 14, 32, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 1, 36: 1, 14: 1, 32: 1, 52: 1}. Most frequent: [65, 36, 14, 32, 52].\n</reasoning>\nFinal Answer: [65, 36, 14, 32, 52]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 25, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 25 + 27 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 36 = 186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 3x = 150. Divide by 3: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 32 = -1070"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 29x = -1102. Divide by 29: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [95, 54, 1, 30, 12, 67, 44, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 12, 30, 44, 49, 54, 67, 95]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 * 2/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/1) × (2/11) = (16/11) = 16/11 after simplification.\n</reasoning>\nFinal Answer: 16/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 0 - 646"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 646 from 0: 0 - 646 = -646.\n</reasoning>\nFinal Answer: -646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 15) * (7 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+15)=56, (7-1)=6, then 56×6=336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [95, 18, 32, 88, 93, 12, 37, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 18, 32, 37, 59, 88, 93, 95]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 6 = 1056"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 25x = 1050. Divide by 25: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 21 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 21 = 315 worker-days. New time = 315 / 4 = 78.75 days.\n</reasoning>\nFinal Answer: 78.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 28 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+28) × 29 = 522.0.\n</reasoning>\nFinal Answer: 522.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 49 + 18 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×49=441 and 18×13=234, then add: 675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 4 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 14/60 = 4.2333 hours. Distance = speed × time = 97 × 4.2333 = 410.6333 km.\n</reasoning>\nFinal Answer: 410.6333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 651 + -550"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 651 and -550: 651 + -550 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -10 = -170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 5x = -160. Divide by 5: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -32 = -464"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 12x = -432. Divide by 12: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 - 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/10 - 20/16. LCD = 20. Result = -13/20.\n</reasoning>\nFinal Answer: -13/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 25 + 28 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×25=625 and 28×38=1064, then add: 1689.\n</reasoning>\nFinal Answer: 1689"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 90, 76, 88, 82, 42, 100, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 42, 61, 76, 82, 88, 90, 100]. Middle value(s) → median = 79.0.\n</reasoning>\nFinal Answer: 79.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 + 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/1 + 1/6. Common denominator = 6. Result = 97/6.\n</reasoning>\nFinal Answer: 97/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 4 * 18 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×18=72, then 23+72-42=53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 + 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/9 + 12/13. Common denominator = 117. Result = 368/117.\n</reasoning>\nFinal Answer: 368/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -6 = 226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 8x = 232. Divide by 8: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 95, 84, 67, 33, 3, 44, 76, 12, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 3 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:36 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/36, so B = A × (36/44) = 26 × 36/44 = 21.2727.\n</reasoning>\nFinal Answer: 21.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 30 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+30) × 18 = 405.0.\n</reasoning>\nFinal Answer: 405.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [7, 18, 19] and B = [3, 12, 14, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 3% of 56?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 56 = (3/100) × 56 = 1.68.\n</reasoning>\nFinal Answer: 1.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 4, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (46-1)×4 = 1 + 180 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 44 and 138."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(44,138) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 142 mod -991"
},
{
"role": "assistant",
"content": "<reasoning>\n142 mod -991: 142 = -991 × -1 + -849, so remainder = -849.\n</reasoning>\nFinal Answer: -849"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 15, 16, 17] and B = [5, 8, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 8, 9, 15, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [3, 5, 8, 9, 15, 16, 17, 18, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 50, 66, 6, 66, 75, 31, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 31, 50, 63, 66, 66, 75, 76]. Middle value(s) → median = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -509 ÷ -587"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -509 by -587. -509 ÷ -587 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,5) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -126 + -286"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -126 and -286: -126 + -286 = -412.\n</reasoning>\nFinal Answer: -412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 44 = 224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 5x = 180. Divide by 5: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 2 and 62."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(2,62) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 25 * 19 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×19=475, then 17+475-5=487.\n</reasoning>\nFinal Answer: 487"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 50 = -732"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 23x = -782. Divide by 23: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/12 - 17/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/12 - 17/17. LCD = 12. Result = 1/12.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 861 - -121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -121 from 861: 861 - -121 = 982.\n</reasoning>\nFinal Answer: 982"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 6, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (17-1)×6 = 14 + 96 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -25 = 183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 26x = 208. Divide by 26: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 43 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 43 × 28 = 1204.\n</reasoning>\nFinal Answer: 1204"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 13, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 13 + 20 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 + 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/18 + 2/5. Common denominator = 30. Result = 37/30.\n</reasoning>\nFinal Answer: 37/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:50 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/50, so B = A × (50/43) = 59 × 50/43 = 68.6047.\n</reasoning>\nFinal Answer: 68.6047"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [79, 93, 46, 52, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 276/5 = 55.2.\n</reasoning>\nFinal Answer: 55.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "33 is what percentage of 152?"
},
{
"role": "assistant",
"content": "<reasoning>\n(33/152) × 100 = 21.7105%.\n</reasoning>\nFinal Answer: 21.7105%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 895 mod -250"
},
{
"role": "assistant",
"content": "<reasoning>\n895 mod -250: 895 = -250 × -4 + -105, so remainder = -105.\n</reasoning>\nFinal Answer: -105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -60 - 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 130 from -60: -60 - 130 = -190.\n</reasoning>\nFinal Answer: -190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 65 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(65,175) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 75 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 75 × 98 = 7350.\n</reasoning>\nFinal Answer: 7350"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 46, 51, 56, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 5. Next term = 61 + 5 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 17 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(17+39) = 2×56 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "462 is what percentage of 748?"
},
{
"role": "assistant",
"content": "<reasoning>\n(462/748) × 100 = 61.7647%.\n</reasoning>\nFinal Answer: 61.7647%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 52 = 3016.\n</reasoning>\nFinal Answer: 3016"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 56 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 56 × 43 = 2408.\n</reasoning>\nFinal Answer: 2408"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 / 14/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/20) ÷ (14/7) = (17/20) × (7/14) = 17/40.\n</reasoning>\nFinal Answer: 17/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 9, 56, 48, 53, 78, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 9 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:45 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/45, so B = A × (45/49) = 74 × 45/49 = 67.9592.\n</reasoning>\nFinal Answer: 67.9592"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 26 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 6x = 54. Divide by 6: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -48 = -120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 9x = -72. Divide by 9: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×2)/1 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -108 - -193"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -193 from -108: -108 - -193 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 468 mod 940"
},
{
"role": "assistant",
"content": "<reasoning>\n468 mod 940: 468 = 940 × 0 + 468, so remainder = 468.\n</reasoning>\nFinal Answer: 468"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -863 - -766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -766 from -863: -863 - -766 = -97.\n</reasoning>\nFinal Answer: -97"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 84 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 84 × (1 + 100/100) = 84 × 2.0 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -35 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 3x = 96. Divide by 3: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 572 km apart. Their speeds are 57 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+72=129 km/h. Time = 572/129 = 4.4341 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:42 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/42, so B = A × (42/45) = 89 × 42/45 = 83.0667.\n</reasoning>\nFinal Answer: 83.0667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+80) = 2×124 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (20)x + (-225) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×5×-225 = 4900. √discriminant = 70. x = (-(20) ± 70) / (2×5). Solutions: x = 5 or x = -9.\n</reasoning>\nFinal Answer: x = 5 or x = -9"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 12 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 12 = 168 worker-days. New time = 168 / 15 = 11.2 days.\n</reasoning>\nFinal Answer: 11.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 13) * (22 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+13)=25, (22-40)=-18, then 25×-18=-450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 6 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+6) × 48 = 840.0.\n</reasoning>\nFinal Answer: 840.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 73 = 3869.\n</reasoning>\nFinal Answer: 3869"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [5, 11, 13, 18] and B = [2, 5, 7, 12, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 13, 18].\n</reasoning>\nFinal Answer: [11, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 47 + 24 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×47=94 and 24×44=1056, then add: 1150.\n</reasoning>\nFinal Answer: 1150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×15)/1 = 390.\n</reasoning>\nFinal Answer: 390"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 13 = -633"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 19x = -646. Divide by 19: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
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