messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 328 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 328 × (1 + 25/100) = 328 × 1.25 = 410.0.\n</reasoning>\nFinal Answer: 410.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 173 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(173,100) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 856 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 856 × (1 + 3/100) = 856 × 1.03 = 881.68.\n</reasoning>\nFinal Answer: 881.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:34 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/34, so B = A × (34/38) = 57 × 34/38 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 42 * 39 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×39=1638, then 45+1638-16=1667.\n</reasoning>\nFinal Answer: 1667"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 202 × 649"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 202 by 649: 202 × 649 = 131098.\n</reasoning>\nFinal Answer: 131098"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 30, 31, 32, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 1. Next term = 33 + 1 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹973. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 973 × 28/100 = 272.44. Total = 973 + 272.44 = 1245.44.\n</reasoning>\nFinal Answer: 1245.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 + 18/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/19 + 18/2. Common denominator = 19. Result = 177/19.\n</reasoning>\nFinal Answer: 177/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 5) * (45 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+5)=45, (45-32)=13, then 45×13=585.\n</reasoning>\nFinal Answer: 585"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 239 km apart. Their speeds are 103 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+76=179 km/h. Time = 239/179 = 1.3352 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -29 = -1349"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 30x = -1320. Divide by 30: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 20, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 20 + 32 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹4674. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4674 × 18/100 = 841.32. Total = 4674 + 841.32 = 5515.32.\n</reasoning>\nFinal Answer: 5515.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 10) * (50 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+10)=21, (50-2)=48, then 21×48=1008.\n</reasoning>\nFinal Answer: 1008"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 49 = 338"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 17x = 289. Divide by 17: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:25 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/25, so B = A × (25/22) = 97 × 25/22 = 110.2273.\n</reasoning>\nFinal Answer: 110.2273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 43 × 459"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 43 by 459: 43 × 459 = 19737.\n</reasoning>\nFinal Answer: 19737"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 + 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/12 + 9/6. Common denominator = 12. Result = 29/12.\n</reasoning>\nFinal Answer: 29/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 19 * 44 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×44=836, then 18+836-11=843.\n</reasoning>\nFinal Answer: 843"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 692 + -390"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 692 and -390: 692 + -390 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:25 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/25, so B = A × (25/4) = 33 × 25/4 = 206.25.\n</reasoning>\nFinal Answer: 206.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 216 mod 86"
},
{
"role": "assistant",
"content": "<reasoning>\n216 mod 86: 216 = 86 × 2 + 44, so remainder = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 270 ÷ 586"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 270 by 586. 270 ÷ 586 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -386 ÷ -600"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -386 by -600. -386 ÷ -600 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 166 km apart. Their speeds are 53 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+83=136 km/h. Time = 166/136 = 1.2206 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -19 = -513"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 19x = -494. Divide by 19: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:41 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/41, so B = A × (41/7) = 80 × 41/7 = 468.5714.\n</reasoning>\nFinal Answer: 468.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 7 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 6/13 = 0.4615.\n</reasoning>\nFinal Answer: 0.4615"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 49, 96, 11, 70, 86, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 11 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 205 + -791"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 205 and -791: 205 + -791 = -586.\n</reasoning>\nFinal Answer: -586"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 * 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/16) × (9/5) = (126/80) = 63/40 after simplification.\n</reasoning>\nFinal Answer: 63/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1513. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1513 × 12/100 = 181.56. Total = 1513 + 181.56 = 1694.56.\n</reasoning>\nFinal Answer: 1694.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 892 × 226"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 892 by 226: 892 × 226 = 201592.\n</reasoning>\nFinal Answer: 201592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 68, 14, 57, 77, 13, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 14, 56, 57, 68, 77, 88]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4150. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4150 × 5/100 = 207.5. Total = 4150 + 207.5 = 4357.5.\n</reasoning>\nFinal Answer: 4357.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 14, 18] and B = [1, 4, 5, 6, 7, 14, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 18].\n</reasoning>\nFinal Answer: [8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/2 * 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/2) × (10/17) = (200/34) = 100/17 after simplification.\n</reasoning>\nFinal Answer: 100/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 65, 72, 58, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 23, 58, 65, 72]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 632 mod -954"
},
{
"role": "assistant",
"content": "<reasoning>\n632 mod -954: 632 = -954 × -1 + -322, so remainder = -322.\n</reasoning>\nFinal Answer: -322"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -33 = 783"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 17x = 816. Divide by 17: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 42 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 49+1764-39=1774.\n</reasoning>\nFinal Answer: 1774"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 845 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 845 × (1 + 5/100) = 845 × 1.05 = 887.25.\n</reasoning>\nFinal Answer: 887.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 97, 11, 80, 51, 79, 69, 12, 88, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 11 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 32 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 23+1024-44=1003.\n</reasoning>\nFinal Answer: 1003"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:42 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/42, so B = A × (42/16) = 97 × 42/16 = 254.625.\n</reasoning>\nFinal Answer: 254.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 - 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/16 - 13/18. LCD = 144. Result = -23/144.\n</reasoning>\nFinal Answer: -23/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [44, 11, 77, 36, 2, 40, 32, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 262/8 = 32.75.\n</reasoning>\nFinal Answer: 32.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 42, 41, 32, 29, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 29, 32, 41, 42, 80]. Middle value(s) → median = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 384 - -510"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -510 from 384: 384 - -510 = 894.\n</reasoning>\nFinal Answer: 894"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 36 + 50 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×36=756 and 50×22=1100, then add: 1856.\n</reasoning>\nFinal Answer: 1856"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 541 + -678"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 541 and -678: 541 + -678 = -137.\n</reasoning>\nFinal Answer: -137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 54, 56, 92, 65, 44, 42, 6, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 6 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 * 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/18) × (12/1) = (156/18) = 26/3 after simplification.\n</reasoning>\nFinal Answer: 26/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 47 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 47 × 91 = 2138.5.\n</reasoning>\nFinal Answer: 2138.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 38 = 497"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 27x = 459. Divide by 27: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "213 is what percentage of 355?"
},
{
"role": "assistant",
"content": "<reasoning>\n(213/355) × 100 = 60.0%.\n</reasoning>\nFinal Answer: 60.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 10% of 305?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 305 = (10/100) × 305 = 30.5.\n</reasoning>\nFinal Answer: 30.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 40 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 40 + 49 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 692 × -337"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 692 by -337: 692 × -337 = -233204.\n</reasoning>\nFinal Answer: -233204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 13 = -137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 3x = -150. Divide by 3: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 11?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 11 = (10/100) × 11 = 1.1.\n</reasoning>\nFinal Answer: 1.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 32 = 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 1x = 1. Divide by 1: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 25 = 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 5x = 155. Divide by 5: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 235."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 235 by smallest primes repeatedly: 235 = 5 × 47.\n</reasoning>\nFinal Answer: 5 × 47"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 12 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 12 = 84 worker-days. New time = 84 / 5 = 16.8 days.\n</reasoning>\nFinal Answer: 16.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/16 + 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/16 + 14/11. Common denominator = 88. Result = 211/88.\n</reasoning>\nFinal Answer: 211/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 925?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 925 = (80/100) × 925 = 740.0.\n</reasoning>\nFinal Answer: 740.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 171 apples and buys 103 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 171 + 103 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 7] and B = [3, 4, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 7].\n</reasoning>\nFinal Answer: [1, 6, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 94, 8, 26, 74, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 9, 26, 74, 94, 96]. Middle value(s) → median = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 9) * (23 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+9)=35, (23-41)=-18, then 35×-18=-630.\n</reasoning>\nFinal Answer: -630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "51 is what percentage of 359?"
},
{
"role": "assistant",
"content": "<reasoning>\n(51/359) × 100 = 14.2061%.\n</reasoning>\nFinal Answer: 14.2061%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -30 = 191"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 13x = 221. Divide by 13: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 337 × -732"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 337 by -732: 337 × -732 = -246684.\n</reasoning>\nFinal Answer: -246684"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:27 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/27, so B = A × (27/29) = 9 × 27/29 = 8.3793.\n</reasoning>\nFinal Answer: 8.3793"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 112 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 112 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 24 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 24 = 216 worker-days. New time = 216 / 11 = 19.6364 days.\n</reasoning>\nFinal Answer: 19.6364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 41 * 8 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×8=328, then 28+328-38=318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -8 = -290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 6x = -282. Divide by 6: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7] and B = [2, 11, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 7, 11, 19].\n</reasoning>\nFinal Answer: [1, 2, 6, 7, 11, 19]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 41 = 716"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 27x = 675. Divide by 27: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 12, 81, 74, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 12: 1, 81: 1, 74: 1, 79: 1}. Most frequent: [76, 12, 81, 74, 79].\n</reasoning>\nFinal Answer: [76, 12, 81, 74, 79]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 43 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 13+1849-15=1847.\n</reasoning>\nFinal Answer: 1847"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -339 ÷ -544"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -339 by -544. -339 ÷ -544 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:28 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/28, so B = A × (28/43) = 73 × 28/43 = 47.5349.\n</reasoning>\nFinal Answer: 47.5349"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 651 × 793"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 651 by 793: 651 × 793 = 516243.\n</reasoning>\nFinal Answer: 516243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [27, 40, 3, 26, 24, 53, 49, 12, 20, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 3 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 18, 46, 7, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 18: 1, 46: 1, 7: 1, 19: 1}. Most frequent: [23, 18, 46, 7, 19].\n</reasoning>\nFinal Answer: [23, 18, 46, 7, 19]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:24 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/24, so B = A × (24/47) = 80 × 24/47 = 40.8511.\n</reasoning>\nFinal Answer: 40.8511"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "464 is what percentage of 621?"
},
{
"role": "assistant",
"content": "<reasoning>\n(464/621) × 100 = 74.7182%.\n</reasoning>\nFinal Answer: 74.7182%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 30, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 30 + 38 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 156 ÷ 974"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 156 by 974. 156 ÷ 974 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 693 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 693 × (1 + 20/100) = 693 × 1.2 = 831.6.\n</reasoning>\nFinal Answer: 831.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 617 - 599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 599 from 617: 617 - 599 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 764 ÷ 133"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 764 by 133. 764 ÷ 133 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -460 - -643"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -643 from -460: -460 - -643 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -295 + 320"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -295 and 320: -295 + 320 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 18 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 5x = 90. Divide by 5: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 231 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 231 × (1 + 50/100) = 231 × 1.5 = 346.5.\n</reasoning>\nFinal Answer: 346.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
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