messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 24x + 12 = -1140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 24x = -1152. Divide by 24: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/9 - 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/9 - 7/17. LCD = 153. Result = 175/153.\n</reasoning>\nFinal Answer: 175/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:46 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/46, so B = A × (46/42) = 36 × 46/42 = 39.4286.\n</reasoning>\nFinal Answer: 39.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -14 = 511"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 25x = 525. Divide by 25: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 2 + 27 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×2=74 and 27×39=1053, then add: 1127.\n</reasoning>\nFinal Answer: 1127"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 27 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 27 = 432 worker-days. New time = 432 / 14 = 30.8571 days.\n</reasoning>\nFinal Answer: 30.8571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 80% of 902?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 902 = (80/100) × 902 = 721.6.\n</reasoning>\nFinal Answer: 721.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -50 = -776"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 22x = -726. Divide by 22: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -784 × 669"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -784 by 669: -784 × 669 = -524496.\n</reasoning>\nFinal Answer: -524496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 49 = 291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 22x = 242. Divide by 22: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4233. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4233 × 18/100 = 761.94. Total = 4233 + 761.94 = 4994.94.\n</reasoning>\nFinal Answer: 4994.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -32 = -384"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 16x = -352. Divide by 16: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 38, 54, 70, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 16. Next term = 86 + 16 = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 - 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/16 - 10/2. LCD = 8. Result = -33/8.\n</reasoning>\nFinal Answer: -33/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 540 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 540 × (1 + 70/100) = 540 × 1.7 = 918.0.\n</reasoning>\nFinal Answer: 918.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 8 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 37/60 = 8.6167 hours. Distance = speed × time = 151 × 8.6167 = 1301.1167 km.\n</reasoning>\nFinal Answer: 1301.1167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 94 km/h. How far does it travel in 9 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 42/60 = 9.7000 hours. Distance = speed × time = 94 × 9.7000 = 911.8 km.\n</reasoning>\nFinal Answer: 911.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 85 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(85+83) = 2×168 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 99, 34, 78, 77, 12, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 415/7 = 59.2857.\n</reasoning>\nFinal Answer: 59.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 486 × 600"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 486 by 600: 486 × 600 = 291600.\n</reasoning>\nFinal Answer: 291600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 1, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (22-1)×1 = 7 + 21 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 8, 9, 10, 12, 18] and B = [1, 3, 8, 11, 12, 14, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 9, 10, 11, 14, 16].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 26 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 26 = 182 worker-days. New time = 182 / 7 = 26.0 days.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 12 = 1152.\n</reasoning>\nFinal Answer: 1152"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 18) * (11 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+18)=64, (11-20)=-9, then 64×-9=-576.\n</reasoning>\nFinal Answer: -576"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 226 - 751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 751 from 226: 226 - 751 = -525.\n</reasoning>\nFinal Answer: -525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 635 × -593"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 635 by -593: 635 × -593 = -376555.\n</reasoning>\nFinal Answer: -376555"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -611 × -842"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -611 by -842: -611 × -842 = 514462.\n</reasoning>\nFinal Answer: 514462"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -518 ÷ -762"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -518 by -762. -518 ÷ -762 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 119 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n119 = 7 × 17, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 19 = 164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 29x = 145. Divide by 29: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -600 - -459"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -459 from -600: -600 - -459 = -141.\n</reasoning>\nFinal Answer: -141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 16 = -140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 13x = -156. Divide by 13: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 29 = 617"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 12x = 588. Divide by 12: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -84 + 833"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -84 and 833: -84 + 833 = 749.\n</reasoning>\nFinal Answer: 749"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 107 km/h. How far does it travel in 10 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 36/60 = 10.6000 hours. Distance = speed × time = 107 × 10.6000 = 1134.2 km.\n</reasoning>\nFinal Answer: 1134.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3145. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3145 × 5/100 = 157.25. Total = 3145 + 157.25 = 3302.25.\n</reasoning>\nFinal Answer: 3302.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 7, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (10-1)×7 = 5 + 63 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 12 = -238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 25x = -250. Divide by 25: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -503 ÷ -606"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -503 by -606. -503 ÷ -606 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -955 + 432"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -955 and 432: -955 + 432 = -523.\n</reasoning>\nFinal Answer: -523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 10 + 44 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×10=100 and 44×7=308, then add: 408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 93 km/h. How far does it travel in 3 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 50/60 = 3.8333 hours. Distance = speed × time = 93 × 3.8333 = 356.5 km.\n</reasoning>\nFinal Answer: 356.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 17, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (13-1)×17 = 5 + 204 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹869. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 869 × 12/100 = 104.28. Total = 869 + 104.28 = 973.28.\n</reasoning>\nFinal Answer: 973.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 82 = 2255.0.\n</reasoning>\nFinal Answer: 2255.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 6, 8, 14] and B = [10, 12, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+68) = 2×148 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:14 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/14, so B = A × (14/1) = 25 × 14/1 = 350.0.\n</reasoning>\nFinal Answer: 350.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 8, 12, 16, 17, 19] and B = [5, 7, 9, 10, 12, 13, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19].\n</reasoning>\n... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 + 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/17 + 9/11. Common denominator = 187. Result = 285/187.\n</reasoning>\nFinal Answer: 285/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 68 and 53."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(68,53) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 16, 19] and B = [12, 14, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 8, 12, 14, 16, 18, 19].\n</reasoning>\nFinal Answer: [2, 8, 12, 14, 16, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 149 km apart. Their speeds are 76 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+115=191 km/h. Time = 149/191 = 0.7801 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 is what percentage of 662?"
},
{
"role": "assistant",
"content": "<reasoning>\n(8/662) × 100 = 1.2085%.\n</reasoning>\nFinal Answer: 1.2085%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -30 = -150"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 20x = -120. Divide by 20: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44225 at 7% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44225 × 7 × 5 / 100 = 15478.75.\n</reasoning>\nFinal Answer: 15478.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 72 = 1584.\n</reasoning>\nFinal Answer: 1584"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 17% of 638?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 638 = (17/100) × 638 = 108.46.\n</reasoning>\nFinal Answer: 108.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 49 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 9+2401-21=2389.\n</reasoning>\nFinal Answer: 2389"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "646 is what percentage of 650?"
},
{
"role": "assistant",
"content": "<reasoning>\n(646/650) × 100 = 99.3846%.\n</reasoning>\nFinal Answer: 99.3846%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 37 and 95."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(37,95) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "123 is what percentage of 199?"
},
{
"role": "assistant",
"content": "<reasoning>\n(123/199) × 100 = 61.809%.\n</reasoning>\nFinal Answer: 61.809%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 187 km apart. Their speeds are 65 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+83=148 km/h. Time = 187/148 = 1.2635 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 17] and B = [5, 6, 8, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 6, 8, 10, 12, 17].\n</reasoning>\nFinal Answer: [5, 6, 8, 10, 12, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 80% of 506?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 506 = (80/100) × 506 = 404.8.\n</reasoning>\nFinal Answer: 404.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 60% of 364?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 364 = (60/100) × 364 = 218.4.\n</reasoning>\nFinal Answer: 218.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 693 - -746"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -746 from 693: 693 - -746 = 1439.\n</reasoning>\nFinal Answer: 1439"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 + 14/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/20 + 14/3. Common denominator = 60. Result = 331/60.\n</reasoning>\nFinal Answer: 331/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 * 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/11) × (20/13) = (320/143) = 320/143 after simplification.\n</reasoning>\nFinal Answer: 320/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -185 × -790"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -185 by -790: -185 × -790 = 146150.\n</reasoning>\nFinal Answer: 146150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 10 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+10) × 29 = 275.5.\n</reasoning>\nFinal Answer: 275.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 40 = 3480.\n</reasoning>\nFinal Answer: 3480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 6) * (42 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+6)=14, (42-48)=-6, then 14×-6=-84.\n</reasoning>\nFinal Answer: -84"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+59) = 2×143 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -36 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 20x = 0. Divide by 20: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 39 = 3003.\n</reasoning>\nFinal Answer: 3003"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 100% of 489?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 489 = (100/100) × 489 = 489.0.\n</reasoning>\nFinal Answer: 489.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:26 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/26, so B = A × (26/34) = 15 × 26/34 = 11.4706.\n</reasoning>\nFinal Answer: 11.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -438 - 547"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 547 from -438: -438 - 547 = -985.\n</reasoning>\nFinal Answer: -985"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -32 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 15x = -60. Divide by 15: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:19 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/19, so B = A × (19/27) = 78 × 19/27 = 54.8889.\n</reasoning>\nFinal Answer: 54.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 25% of 685?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 685 = (25/100) × 685 = 171.25.\n</reasoning>\nFinal Answer: 171.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 29 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 29 = 116 worker-days. New time = 116 / 15 = 7.7333 days.\n</reasoning>\nFinal Answer: 7.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "88 is what percentage of 212?"
},
{
"role": "assistant",
"content": "<reasoning>\n(88/212) × 100 = 41.5094%.\n</reasoning>\nFinal Answer: 41.5094%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -968 + 79"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -968 and 79: -968 + 79 = -889.\n</reasoning>\nFinal Answer: -889"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:38 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/38, so B = A × (38/2) = 72 × 38/2 = 1368.0.\n</reasoning>\nFinal Answer: 1368.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 32 = -766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 21x = -798. Divide by 21: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -267 - -559"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -559 from -267: -267 - -559 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×8)/1 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 17) * (24 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+17)=32, (24-29)=-5, then 32×-5=-160.\n</reasoning>\nFinal Answer: -160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:10 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/10, so B = A × (10/3) = 64 × 10/3 = 213.3333.\n</reasoning>\nFinal Answer: 213.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -38 = 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 2x = 82. Divide by 2: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43390 at 2% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43390 × 2 × 5 / 100 = 4339.0.\n</reasoning>\nFinal Answer: 4339.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 63, 82, 19, 15, 43, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 15 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 - 8/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/5 - 8/13. LCD = 65. Result = 168/65.\n</reasoning>\nFinal Answer: 168/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 79 = 2844.\n</reasoning>\nFinal Answer: 2844"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4992. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4992 × 18/100 = 898.56. Total = 4992 + 898.56 = 5890.56.\n</reasoning>\nFinal Answer: 5890.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+52) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 2 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 56/60 = 2.9333 hours. Distance = speed × time = 69 × 2.9333 = 202.4 km.\n</reasoning>\nFinal Answer: 202.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
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