messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 12, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (22-1)×12 = 2 + 252 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 81, 90, 66, 51, 58, 89, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 1 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 772 × -15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 772 by -15: 772 × -15 = -11580.\n</reasoning>\nFinal Answer: -11580"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 67 = 4087.\n</reasoning>\nFinal Answer: 4087"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -737 - -67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -67 from -737: -737 - -67 = -670.\n</reasoning>\nFinal Answer: -670"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 58 km/h. How far does it travel in 2 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 36/60 = 2.6000 hours. Distance = speed × time = 58 × 2.6000 = 150.8 km.\n</reasoning>\nFinal Answer: 150.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 27 * 31 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×31=837, then 7+837-25=819.\n</reasoning>\nFinal Answer: 819"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 9, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (11-1)×9 = 46 + 90 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -22 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 2x = -30. Divide by 2: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1828. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1828 × 12/100 = 219.36. Total = 1828 + 219.36 = 2047.36.\n</reasoning>\nFinal Answer: 2047.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 52 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 52 × 25 = 1300.\n</reasoning>\nFinal Answer: 1300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/7 + 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/7 + 15/9. Common denominator = 21. Result = 38/21.\n</reasoning>\nFinal Answer: 38/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 / 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/14) ÷ (2/4) = (10/14) × (4/2) = 10/7.\n</reasoning>\nFinal Answer: 10/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/19 * 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/19) × (11/13) = (132/247) = 132/247 after simplification.\n</reasoning>\nFinal Answer: 132/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 18 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 19+324-47=296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "743 is what percentage of 767?"
},
{
"role": "assistant",
"content": "<reasoning>\n(743/767) × 100 = 96.8709%.\n</reasoning>\nFinal Answer: 96.8709%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -42 = -502"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 10x = -460. Divide by 10: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 78 = 2613.0.\n</reasoning>\nFinal Answer: 2613.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -753 - 676"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 676 from -753: -753 - 676 = -1429.\n</reasoning>\nFinal Answer: -1429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -438 ÷ -770"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -438 by -770. -438 ÷ -770 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 5 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 25/60 = 5.4167 hours. Distance = speed × time = 177 × 5.4167 = 958.75 km.\n</reasoning>\nFinal Answer: 958.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 165 apples and buys 7 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 165 + 7 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [32, 34, 36, 38, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 32 and common difference 2. Next term = 40 + 2 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 49) * (12 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+49)=71, (12-40)=-28, then 71×-28=-1988.\n</reasoning>\nFinal Answer: -1988"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:28 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/28, so B = A × (28/4) = 58 × 28/4 = 406.0.\n</reasoning>\nFinal Answer: 406.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 20 = 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 22x = 110. Divide by 22: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 61 mod -313"
},
{
"role": "assistant",
"content": "<reasoning>\n61 mod -313: 61 = -313 × -1 + -252, so remainder = -252.\n</reasoning>\nFinal Answer: -252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 407 + -529"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 407 and -529: 407 + -529 = -122.\n</reasoning>\nFinal Answer: -122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×5)/5 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 80% of 995?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 995 = (80/100) × 995 = 796.0.\n</reasoning>\nFinal Answer: 796.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -431 × 816"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -431 by 816: -431 × 816 = -351696.\n</reasoning>\nFinal Answer: -351696"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 18 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 38+324-44=318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -617 - -535"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -535 from -617: -617 - -535 = -82.\n</reasoning>\nFinal Answer: -82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 226 km apart. Their speeds are 54 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+109=163 km/h. Time = 226/163 = 1.3865 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -995 + -220"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -995 and -220: -995 + -220 = -1215.\n</reasoning>\nFinal Answer: -1215"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 36) * (50 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+36)=45, (50-22)=28, then 45×28=1260.\n</reasoning>\nFinal Answer: 1260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 * 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/9) × (5/9) = (95/81) = 95/81 after simplification.\n</reasoning>\nFinal Answer: 95/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 12 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(12+28) = 2×40 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 / 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/13) ÷ (1/4) = (4/13) × (4/1) = 16/13.\n</reasoning>\nFinal Answer: 16/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -396 + 184"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -396 and 184: -396 + 184 = -212.\n</reasoning>\nFinal Answer: -212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 43 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 43 × 65 = 2795.\n</reasoning>\nFinal Answer: 2795"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "12 is what percentage of 602?"
},
{
"role": "assistant",
"content": "<reasoning>\n(12/602) × 100 = 1.9934%.\n</reasoning>\nFinal Answer: 1.9934%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -35 × 428"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -35 by 428: -35 × 428 = -14980.\n</reasoning>\nFinal Answer: -14980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 18, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (36-1)×18 = 6 + 630 = 636.\n</reasoning>\nFinal Answer: 636"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×20)/1 = 820.\n</reasoning>\nFinal Answer: 820"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 54 mod -581"
},
{
"role": "assistant",
"content": "<reasoning>\n54 mod -581: 54 = -581 × -1 + -527, so remainder = -527.\n</reasoning>\nFinal Answer: -527"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 30 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 30 = 330 worker-days. New time = 330 / 20 = 16.5 days.\n</reasoning>\nFinal Answer: 16.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 25 + 13 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×25=475 and 13×44=572, then add: 1047.\n</reasoning>\nFinal Answer: 1047"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:37 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/37, so B = A × (37/46) = 46 × 37/46 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -16 = 536"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 12x = 552. Divide by 12: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 + 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/20 + 12/1. Common denominator = 5. Result = 64/5.\n</reasoning>\nFinal Answer: 64/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 602 km apart. Their speeds are 107 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 107+86=193 km/h. Time = 602/193 = 3.1192 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 30 - -833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -833 from 30: 30 - -833 = 863.\n</reasoning>\nFinal Answer: 863"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×2)/1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "213 is what percentage of 398?"
},
{
"role": "assistant",
"content": "<reasoning>\n(213/398) × 100 = 53.5176%.\n</reasoning>\nFinal Answer: 53.5176%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 405 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 405 × (1 + 75/100) = 405 × 1.75 = 708.75.\n</reasoning>\nFinal Answer: 708.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 53 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 59, 21, 44, 54, 23, 95, 65, 73, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 570/10 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 451 - -527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -527 from 451: 451 - -527 = 978.\n</reasoning>\nFinal Answer: 978"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 46, 11, 4, 27, 64, 32, 13, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 294/9 = 32.6667.\n</reasoning>\nFinal Answer: 32.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 26 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 44, 46, 48, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 2. Next term = 50 + 2 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+59) = 2×104 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹441. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 441 × 18/100 = 79.38. Total = 441 + 79.38 = 520.38.\n</reasoning>\nFinal Answer: 520.38"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 503 mod 614"
},
{
"role": "assistant",
"content": "<reasoning>\n503 mod 614: 503 = 614 × 0 + 503, so remainder = 503.\n</reasoning>\nFinal Answer: 503"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 49 = 99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 5x = 50. Divide by 5: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+19) = 2×66 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "151 is what percentage of 751?"
},
{
"role": "assistant",
"content": "<reasoning>\n(151/751) × 100 = 20.1065%.\n</reasoning>\nFinal Answer: 20.1065%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -2 = 435"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 23x = 437. Divide by 23: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 46, 40, 43, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 46 - 22 = 24.\n</reasoning>\nFinal Answer: 24"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -371 mod -476"
},
{
"role": "assistant",
"content": "<reasoning>\n-371 mod -476: -371 = -476 × 0 + -371, so remainder = -371.\n</reasoning>\nFinal Answer: -371"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 29 * 11 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×11=319, then 21+319-45=295.\n</reasoning>\nFinal Answer: 295"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -2 = -362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 15x = -360. Divide by 15: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -569 + 575"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -569 and 575: -569 + 575 = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:21 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/21, so B = A × (21/9) = 82 × 21/9 = 191.3333.\n</reasoning>\nFinal Answer: 191.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 88 = 4752.\n</reasoning>\nFinal Answer: 4752"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 577 + -269"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 577 and -269: 577 + -269 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×36)/12 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 11 = 731"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 15x = 720. Divide by 15: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 * 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/4) × (18/17) = (162/68) = 81/34 after simplification.\n</reasoning>\nFinal Answer: 81/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/10 / 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/10) ÷ (8/14) = (16/10) × (14/8) = 14/5.\n</reasoning>\nFinal Answer: 14/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 - 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/18 - 2/16. LCD = 24. Result = 5/24.\n</reasoning>\nFinal Answer: 5/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 23, 47, 9, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 9 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [5, 10, 11, 13, 15, 17, 19] and B = [3, 5, 6, 13, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 6, 10, 11, 13, 15, 17, 19].\n</reasoning>\nFinal Answer: [3, 5, 6, 10... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:2 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/2, so B = A × (2/3) = 99 × 2/3 = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 44 * 14 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×14=616, then 8+616-23=601.\n</reasoning>\nFinal Answer: 601"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 28 = 217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 9x = 189. Divide by 9: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 699 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 699 × (1 - 60/100) = 699 × 0.4 = 279.6.\n</reasoning>\nFinal Answer: 279.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+8) = 2×94 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 780 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 780 × (1 + 70/100) = 780 × 1.7 = 1326.0.\n</reasoning>\nFinal Answer: 1326.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -90 + 410"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -90 and 410: -90 + 410 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 / 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/2) ÷ (4/1) = (19/2) × (1/4) = 19/8.\n</reasoning>\nFinal Answer: 19/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 2, 56, 77, 56, 47, 68, 99, 66, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 575/10 = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [100, 21, 59, 41, 18, 84, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 18 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 40, 72, 1, 41, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 273/6 = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -36 = 48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 6x = 84. Divide by 6: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -88 mod 846"
},
{
"role": "assistant",
"content": "<reasoning>\n-88 mod 846: -88 = 846 × -1 + 758, so remainder = 758.\n</reasoning>\nFinal Answer: 758"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2922. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2922 × 5/100 = 146.1. Total = 2922 + 146.1 = 3068.1.\n</reasoning>\nFinal Answer: 3068.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 43 = 328"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 15x = 285. Divide by 15: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 17, 93, 53, 22, 71, 52, 16, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 16 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
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