messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 54, 68, 82, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 14. Next term = 96 + 14 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -50 = 110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 10x = 160. Divide by 10: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 67 × -627"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 67 by -627: 67 × -627 = -42009.\n</reasoning>\nFinal Answer: -42009"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 is what percentage of 140?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/140) × 100 = 14.2857%.\n</reasoning>\nFinal Answer: 14.2857%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 317 - 929"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 929 from 317: 317 - 929 = -612.\n</reasoning>\nFinal Answer: -612"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 52, 58, 64, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 6. Next term = 70 + 6 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 13, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (50-1)×13 = 15 + 637 = 652.\n</reasoning>\nFinal Answer: 652"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -47 = -81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 2x = -34. Divide by 2: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 94, 24, 40, 92, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 323/6 = 53.8333.\n</reasoning>\nFinal Answer: 53.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -66 mod 900"
},
{
"role": "assistant",
"content": "<reasoning>\n-66 mod 900: -66 = 900 × -1 + 834, so remainder = 834.\n</reasoning>\nFinal Answer: 834"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 / 7/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/8) ÷ (7/19) = (1/8) × (19/7) = 19/56.\n</reasoning>\nFinal Answer: 19/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -380 × -234"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -380 by -234: -380 × -234 = 88920.\n</reasoning>\nFinal Answer: 88920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 96 = 2784.\n</reasoning>\nFinal Answer: 2784"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 227 + -250"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 227 and -250: 227 + -250 = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 20% of 14?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 14 = (20/100) × 14 = 2.8.\n</reasoning>\nFinal Answer: 2.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 - 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/6 - 10/9. LCD = 18. Result = 13/18.\n</reasoning>\nFinal Answer: 13/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -42 × 865"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -42 by 865: -42 × 865 = -36330.\n</reasoning>\nFinal Answer: -36330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 15 = 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 44) * (39 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+44)=55, (39-19)=20, then 55×20=1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 175 mod 919"
},
{
"role": "assistant",
"content": "<reasoning>\n175 mod 919: 175 = 919 × 0 + 175, so remainder = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 31 = 171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 7x = 140. Divide by 7: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 26 × -727"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 26 by -727: 26 × -727 = -18902.\n</reasoning>\nFinal Answer: -18902"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 50% of 114?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 114 = (50/100) × 114 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 2^5"
},
{
"role": "assistant",
"content": "<reasoning>\n2^5 = 2 × 2 × 2 × 2 × 2 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "What is 75% of 828?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 828 = (75/100) × 828 = 621.0.\n</reasoning>\nFinal Answer: 621.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 4 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(4,13) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "317 is what percentage of 571?"
},
{
"role": "assistant",
"content": "<reasoning>\n(317/571) × 100 = 55.5166%.\n</reasoning>\nFinal Answer: 55.5166%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹4622. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4622 × 5/100 = 231.1. Total = 4622 + 231.1 = 4853.1.\n</reasoning>\nFinal Answer: 4853.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 12, 17] and B = [1, 7, 9, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 6, 7, 9, 12, 17, 18].\n</reasoning>\nFinal Answer: [1, 6, 7, 9, 12, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 462 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 462 × (1 + 75/100) = 462 × 1.75 = 808.5.\n</reasoning>\nFinal Answer: 808.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 412 km apart. Their speeds are 77 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+70=147 km/h. Time = 412/147 = 2.8027 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -522 mod 519"
},
{
"role": "assistant",
"content": "<reasoning>\n-522 mod 519: -522 = 519 × -2 + 516, so remainder = 516.\n</reasoning>\nFinal Answer: 516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 194 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(194,7) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 186."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 186 by smallest primes repeatedly: 186 = 2 × 3 × 31.\n</reasoning>\nFinal Answer: 2 × 3 × 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 29, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 29 + 34 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -441 mod 307"
},
{
"role": "assistant",
"content": "<reasoning>\n-441 mod 307: -441 = 307 × -2 + 173, so remainder = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 82 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 + 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/17 + 5/13. Common denominator = 221. Result = 215/221.\n</reasoning>\nFinal Answer: 215/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:9 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/9, so B = A × (9/44) = 15 × 9/44 = 3.0682.\n</reasoning>\nFinal Answer: 3.0682"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 50 = 628"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 17x = 578. Divide by 17: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -33 = -525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 12x = -492. Divide by 12: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 * 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/19) × (20/13) = (60/247) = 60/247 after simplification.\n</reasoning>\nFinal Answer: 60/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13179 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13179 × 3 × 4 / 100 = 1581.48.\n</reasoning>\nFinal Answer: 1581.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 797 + -802"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 797 and -802: 797 + -802 = -5.\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 29, 83, 63, 68, 80, 82, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 29, 63, 68, 80, 82, 83, 90]. Middle value(s) → median = 74.0.\n</reasoning>\nFinal Answer: 74.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 13] and B = [4, 8, 11, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 6, 8, 11, 13, 17].\n</reasoning>\nFinal Answer: [3, 4, 6, 8, 11, 13, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 75, 47, 18, 47, 9, 45, 78, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 394/9 = 43.7778.\n</reasoning>\nFinal Answer: 43.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 * 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/13) × (16/9) = (304/117) = 304/117 after simplification.\n</reasoning>\nFinal Answer: 304/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 39, 48, 57, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 9. Next term = 66 + 9 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 34) * (41 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+34)=79, (41-27)=14, then 79×14=1106.\n</reasoning>\nFinal Answer: 1106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 43 * 48 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×48=2064, then 46+2064-35=2075.\n</reasoning>\nFinal Answer: 2075"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 13 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(13+71) = 2×84 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:46 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/46, so B = A × (46/42) = 6 × 46/42 = 6.5714.\n</reasoning>\nFinal Answer: 6.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -21 = 557"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 17x = 578. Divide by 17: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 14, 27 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (14+27) × 20 = 410.0.\n</reasoning>\nFinal Answer: 410.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:2 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/2, so B = A × (2/6) = 70 × 2/6 = 23.3333.\n</reasoning>\nFinal Answer: 23.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 39, 50, 61, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 11. Next term = 72 + 11 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 6 = -378"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 16x = -384. Divide by 16: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -119 mod 393"
},
{
"role": "assistant",
"content": "<reasoning>\n-119 mod 393: -119 = 393 × -1 + 274, so remainder = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 4 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 3/60 = 4.0500 hours. Distance = speed × time = 151 × 4.0500 = 611.55 km.\n</reasoning>\nFinal Answer: 611.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -712 ÷ -224"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -712 by -224. -712 ÷ -224 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 47 = -533"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 29x = -580. Divide by 29: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "175 is what percentage of 181?"
},
{
"role": "assistant",
"content": "<reasoning>\n(175/181) × 100 = 96.6851%.\n</reasoning>\nFinal Answer: 96.6851%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 49, 57, 65, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 8. Next term = 73 + 8 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 41, 72, 48, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 235/5 = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "List all positive factors of 73."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 73: factors are [1, 73].\n</reasoning>\nFinal Answer: [1, 73]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Calculate: 15 mod 136"
},
{
"role": "assistant",
"content": "<reasoning>\n15 mod 136: 15 = 136 × 0 + 15, so remainder = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 47 and 185."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(47,185) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 157 × -59"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 157 by -59: 157 × -59 = -9263.\n</reasoning>\nFinal Answer: -9263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:13 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/13, so B = A × (13/43) = 16 × 13/43 = 4.8372.\n</reasoning>\nFinal Answer: 4.8372"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -42 = -875"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 17x = -833. Divide by 17: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -407 - -776"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -776 from -407: -407 - -776 = 369.\n</reasoning>\nFinal Answer: 369"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:46 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/46, so B = A × (46/47) = 11 × 46/47 = 10.766.\n</reasoning>\nFinal Answer: 10.766"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3032. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3032 × 18/100 = 545.76. Total = 3032 + 545.76 = 3577.76.\n</reasoning>\nFinal Answer: 3577.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 35, 8, 80, 12, 91, 79, 28, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 7 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 31 * 41 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 31×41=1271, then 27+1271-45=1253.\n</reasoning>\nFinal Answer: 1253"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -542 + 497"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -542 and 497: -542 + 497 = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 158 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(158,43) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 91 = 4368.\n</reasoning>\nFinal Answer: 4368"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×42)/7 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 6, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (46-1)×6 = 32 + 270 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 92 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 92 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 670 km apart. Their speeds are 100 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+111=211 km/h. Time = 670/211 = 3.1754 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 200 and 195."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(200,195) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:9 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/9, so B = A × (9/50) = 40 × 9/50 = 7.2.\n</reasoning>\nFinal Answer: 7.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 58 = 3132.\n</reasoning>\nFinal Answer: 3132"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 / 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/10) ÷ (5/6) = (15/10) × (6/5) = 9/5.\n</reasoning>\nFinal Answer: 9/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -40 = -348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 11x = -308. Divide by 11: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 59, 42, 93, 41, 96, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [41, 42, 59, 93, 96, 97, 100]. Middle value(s) → median = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 39 = 1170.\n</reasoning>\nFinal Answer: 1170"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 12, and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 12 + 17 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 11, 13, 15, 16, 18] and B = [4, 8, 9], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 10, 11, 13, 15, 16, 18].\n</reasoning>\nFinal Answer: [1, 10, 11, 13, 15, 16, 18... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 46 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 35+2116-50=2101.\n</reasoning>\nFinal Answer: 2101"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 / 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/3) ÷ (9/5) = (1/3) × (5/9) = 5/27.\n</reasoning>\nFinal Answer: 5/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 129 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 129 + 34 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 / 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/15) ÷ (5/5) = (9/15) × (5/5) = 3/5.\n</reasoning>\nFinal Answer: 3/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 7 = 546.\n</reasoning>\nFinal Answer: 546"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:10 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/10, so B = A × (10/14) = 72 × 10/14 = 51.4286.\n</reasoning>\nFinal Answer: 51.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2126. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2126 × 5/100 = 106.3. Total = 2126 + 106.3 = 2232.3.\n</reasoning>\nFinal Answer: 2232.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -33 = -168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 5x = -135. Divide by 5: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
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