messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [97, 77, 84, 50, 80, 3, 49, 82, 79, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 77: 1, 84: 1, 50: 1, 80: 1, 3: 1, 49: 1, 82: 2, 79: 1}. Most frequent: 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 32 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 9x = -252. Divide by 9: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 / 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/17) ÷ (15/8) = (10/17) × (8/15) = 16/51.\n</reasoning>\nFinal Answer: 16/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 82 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 82 × 31 = 1271.0.\n</reasoning>\nFinal Answer: 1271.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -43 = 295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 13x = 338. Divide by 13: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -861 ÷ 796"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -861 by 796. -861 ÷ 796 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-24)x + (70) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×2×70 = 16. √discriminant = 4. x = (-(-24) ± 4) / (2×2). Solutions: x = 5 or x = 7.\n</reasoning>\nFinal Answer: x = 5 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 / 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/9) ÷ (8/15) = (20/9) × (15/8) = 25/6.\n</reasoning>\nFinal Answer: 25/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 53 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 53 × 75 = 3975.\n</reasoning>\nFinal Answer: 3975"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 38 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(38,45) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 91 apples and buys 134 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 91 + 134 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 32, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 32 + 38 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 5 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 51/60 = 5.8500 hours. Distance = speed × time = 53 × 5.8500 = 310.05 km.\n</reasoning>\nFinal Answer: 310.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -46 + 637"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -46 and 637: -46 + 637 = 591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 392 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 392 × (1 - 60/100) = 392 × 0.4 = 156.8.\n</reasoning>\nFinal Answer: 156.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -109 mod -45"
},
{
"role": "assistant",
"content": "<reasoning>\n-109 mod -45: -109 = -45 × 2 + -19, so remainder = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 6, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (15-1)×6 = 31 + 84 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 92 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 92 × (1 + 40/100) = 92 × 1.4 = 128.8.\n</reasoning>\nFinal Answer: 128.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [9, 10, 12, 14, 17, 18] and B = [5, 9, 10, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 9, 10, 12, 13, 14, 17, 18].\n</reasoning>\nFinal Answer: [5, 9, 10, 12, 13, 14,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 / 20/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/18) ÷ (20/20) = (10/18) × (20/20) = 5/9.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -17 = -353"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 12x = -336. Divide by 12: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "22 is what percentage of 27?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/27) × 100 = 81.4815%.\n</reasoning>\nFinal Answer: 81.4815%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:23 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/23, so B = A × (23/47) = 59 × 23/47 = 28.8723.\n</reasoning>\nFinal Answer: 28.8723"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 45 = -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 12x = -336. Divide by 12: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+56) = 2×103 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 353 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 353 × (1 - 70/100) = 353 × 0.30000000000000004 = 105.9.\n</reasoning>\nFinal Answer: 105.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 12, 18, 19] and B = [2, 5, 8, 10, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 19].\n</reasoning>\nFinal Answer: [2, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 30 + 15 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×30=600 and 15×24=360, then add: 960.\n</reasoning>\nFinal Answer: 960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 419 mod -908"
},
{
"role": "assistant",
"content": "<reasoning>\n419 mod -908: 419 = -908 × -1 + -489, so remainder = -489.\n</reasoning>\nFinal Answer: -489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -843 ÷ -529"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -843 by -529. -843 ÷ -529 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 / 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/19) ÷ (14/6) = (4/19) × (6/14) = 12/133.\n</reasoning>\nFinal Answer: 12/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 49) * (23 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+49)=60, (23-42)=-19, then 60×-19=-1140.\n</reasoning>\nFinal Answer: -1140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 20% of 848?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 848 = (20/100) × 848 = 169.6.\n</reasoning>\nFinal Answer: 169.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 16 = -686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 27x = -702. Divide by 27: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:33 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/33, so B = A × (33/27) = 91 × 33/27 = 111.2222.\n</reasoning>\nFinal Answer: 111.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 7 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 32/60 = 7.5333 hours. Distance = speed × time = 54 × 7.5333 = 406.8 km.\n</reasoning>\nFinal Answer: 406.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 52, 65, 78, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 13. Next term = 91 + 13 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [25, 40, 47, 7, 53, 31, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 277/7 = 39.5714.\n</reasoning>\nFinal Answer: 39.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 45 + 38 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×45=270 and 38×36=1368, then add: 1638.\n</reasoning>\nFinal Answer: 1638"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 47 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(47+79) = 2×126 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [18, 29, 40, 51, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 18 and common difference 11. Next term = 62 + 11 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 155 km/h. How far does it travel in 7 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 32/60 = 7.5333 hours. Distance = speed × time = 155 × 7.5333 = 1167.6667 km.\n</reasoning>\nFinal Answer: 1167.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -272 ÷ 332"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -272 by 332. -272 ÷ 332 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 96, 3, 33, 36, 13, 55, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 3 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 13, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (46-1)×13 = 2 + 585 = 587.\n</reasoning>\nFinal Answer: 587"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 - 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/4 - 8/9. LCD = 9. Result = 19/9.\n</reasoning>\nFinal Answer: 19/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 43 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 26x = -78. Divide by 26: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 11, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (45-1)×11 = 18 + 484 = 502.\n</reasoning>\nFinal Answer: 502"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:40 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/40, so B = A × (40/7) = 36 × 40/7 = 205.7143.\n</reasoning>\nFinal Answer: 205.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11117 at 5% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11117 × 5 × 3 / 100 = 1667.55.\n</reasoning>\nFinal Answer: 1667.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 191 - 561"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 561 from 191: 191 - 561 = -370.\n</reasoning>\nFinal Answer: -370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 38) * (35 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+38)=60, (35-17)=18, then 60×18=1080.\n</reasoning>\nFinal Answer: 1080"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -267 + 573"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -267 and 573: -267 + 573 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 13, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (21-1)×13 = 2 + 260 = 262.\n</reasoning>\nFinal Answer: 262"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "582 is what percentage of 983?"
},
{
"role": "assistant",
"content": "<reasoning>\n(582/983) × 100 = 59.2065%.\n</reasoning>\nFinal Answer: 59.2065%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 36, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 36 + 37 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 93, 59, 44, 28, 49, 35, 20, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 5 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 8, 11, 17, 19] and B = [15, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 8, 11, 15, 18, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:21 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/21, so B = A × (21/30) = 3 × 21/30 = 2.1.\n</reasoning>\nFinal Answer: 2.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 13, 16, 17, 19] and B = [15, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 13, 15, 19].\n</reasoning>\nFinal Answer: [2, 5, 13... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 401 × -29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 401 by -29: 401 × -29 = -11629.\n</reasoning>\nFinal Answer: -11629"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 19, and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 19 + 19 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -469 × 367"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -469 by 367: -469 × 367 = -172123.\n</reasoning>\nFinal Answer: -172123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 + 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/13 + 4/19. Common denominator = 19. Result = 23/19.\n</reasoning>\nFinal Answer: 23/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 892 - -691"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -691 from 892: 892 - -691 = 1583.\n</reasoning>\nFinal Answer: 1583"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 170 apples and buys 101 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 170 + 101 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 / 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/4) ÷ (19/18) = (13/4) × (18/19) = 117/38.\n</reasoning>\nFinal Answer: 117/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "72 is what percentage of 86?"
},
{
"role": "assistant",
"content": "<reasoning>\n(72/86) × 100 = 83.7209%.\n</reasoning>\nFinal Answer: 83.7209%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 + 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/3 + 2/15. Common denominator = 15. Result = 92/15.\n</reasoning>\nFinal Answer: 92/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 67 = 3819.\n</reasoning>\nFinal Answer: 3819"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 46 = -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 20x = -280. Divide by 20: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 + 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/8 + 20/15. Common denominator = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 18 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 18 = 324 worker-days. New time = 324 / 9 = 36.0 days.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 - 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/4 - 13/17. LCD = 68. Result = 101/68.\n</reasoning>\nFinal Answer: 101/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:33 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/33, so B = A × (33/33) = 57 × 33/33 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 59, 28, 39, 48, 56, 23, 76, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 28, 39, 44, 48, 56, 59, 76, 87]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 23 = -742"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 17x = -765. Divide by 17: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 31 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 7x = -266. Divide by 7: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 116 and 102."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(116,102) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:15 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/15, so B = A × (15/1) = 5 × 15/1 = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/9 / 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/9) ÷ (4/5) = (7/9) × (5/4) = 35/36.\n</reasoning>\nFinal Answer: 35/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2537. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2537 × 28/100 = 710.36. Total = 2537 + 710.36 = 3247.36.\n</reasoning>\nFinal Answer: 3247.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 6, 7, 8, 14] and B = [1, 3, 6, 9, 10, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 6, 7, 8, 9, 10, 14, 15].\n</reasoning>\nFinal Answer: [1, 2, 3, 5... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 + 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/8 + 11/20. Common denominator = 40. Result = 97/40.\n</reasoning>\nFinal Answer: 97/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 79, 26, 4, 84, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 4 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -46 = 87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 7x = 133. Divide by 7: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -30 = -755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 29x = -725. Divide by 29: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:50 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/50, so B = A × (50/34) = 83 × 50/34 = 122.0588.\n</reasoning>\nFinal Answer: 122.0588"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 679 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 679 × (1 - 7/100) = 679 × 0.9299999999999999 = 631.47.\n</reasoning>\nFinal Answer: 631.47"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 532 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 532 × (1 - 35/100) = 532 × 0.65 = 345.8.\n</reasoning>\nFinal Answer: 345.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 5 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 5 = 100 worker-days. New time = 100 / 11 = 9.0909 days.\n</reasoning>\nFinal Answer: 9.0909"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:41 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/41, so B = A × (41/30) = 58 × 41/30 = 79.2667.\n</reasoning>\nFinal Answer: 79.2667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -331 ÷ 659"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -331 by 659. -331 ÷ 659 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+46) = 2×100 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×49)/1 = 637.\n</reasoning>\nFinal Answer: 637"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 100, 6, 63, 5, 34, 26, 8, 42, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 5 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -25 = -761"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 23x = -736. Divide by 23: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 * 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/17) × (8/15) = (128/255) = 128/255 after simplification.\n</reasoning>\nFinal Answer: 128/255"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 134 apples and buys 170 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 134 + 170 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 925 mod -830"
},
{
"role": "assistant",
"content": "<reasoning>\n925 mod -830: 925 = -830 × -2 + -735, so remainder = -735.\n</reasoning>\nFinal Answer: -735"
}
] | medium | [
"arithmetic",
"computation"
] |
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