messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the median of: [82, 85, 31, 99, 46, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 46, 82, 85, 93, 99]. Middle value(s) → median = 83.5.\n</reasoning>\nFinal Answer: 83.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 44) * (34 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+44)=62, (34-38)=-4, then 62×-4=-248.\n</reasoning>\nFinal Answer: -248"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 + 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/19 + 12/18. Common denominator = 57. Result = 59/57.\n</reasoning>\nFinal Answer: 59/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -450 ÷ 657"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -450 by 657. -450 ÷ 657 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 46) * (27 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+46)=69, (27-30)=-3, then 69×-3=-207.\n</reasoning>\nFinal Answer: -207"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 1 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 53/60 = 1.8833 hours. Distance = speed × time = 164 × 1.8833 = 308.8667 km.\n</reasoning>\nFinal Answer: 308.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 37) * (3 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+37)=50, (3-24)=-21, then 50×-21=-1050.\n</reasoning>\nFinal Answer: -1050"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 39) * (50 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+39)=83, (50-4)=46, then 83×46=3818.\n</reasoning>\nFinal Answer: 3818"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 324 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from 324: 324 - 28 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -136 ÷ -743"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -136 by -743. -136 ÷ -743 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 66, 65, 82, 14, 56, 11, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 14, 53, 56, 65, 66, 78, 82]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -930 - -539"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -539 from -930: -930 - -539 = -391.\n</reasoning>\nFinal Answer: -391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 979 ÷ 422"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 979 by 422. 979 ÷ 422 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 * 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/14) × (1/9) = (6/126) = 1/21 after simplification.\n</reasoning>\nFinal Answer: 1/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 512 × -137"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 512 by -137: 512 × -137 = -70144.\n</reasoning>\nFinal Answer: -70144"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 508 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 508 × (1 + 20/100) = 508 × 1.2 = 609.6.\n</reasoning>\nFinal Answer: 609.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -11 = 429"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 11x = 440. Divide by 11: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 3, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (24-1)×3 = 49 + 69 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 120 + -893"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 120 and -893: 120 + -893 = -773.\n</reasoning>\nFinal Answer: -773"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 - 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/6 - 3/16. LCD = 16. Result = 13/16.\n</reasoning>\nFinal Answer: 13/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -5 = -75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 5x = -70. Divide by 5: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 351 ÷ -393"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 351 by -393. 351 ÷ -393 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 607 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 607 × (1 - 40/100) = 607 × 0.6 = 364.2.\n</reasoning>\nFinal Answer: 364.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 80 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 41, 79, 75, 31, 38, 60, 56, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 31, 38, 41, 44, 56, 60, 75, 79]. Middle value(s) → median = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 15 * 18 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×18=270, then 18+270-46=242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 76, 85, 47, 38, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 76: 1, 85: 1, 47: 1, 38: 1, 89: 1}. Most frequent: [20, 76, 85, 47, 38, 89].\n</reasoning>\nFinal Answer: [20, 76, 85, 47, 38, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Is 60 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n60 = 2 × 30, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 32 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+32) × 7 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 / 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/20) ÷ (15/13) = (3/20) × (13/15) = 13/100.\n</reasoning>\nFinal Answer: 13/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 71 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(71+61) = 2×132 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -708 × 279"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -708 by 279: -708 × 279 = -197532.\n</reasoning>\nFinal Answer: -197532"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 * 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/14) × (6/8) = (114/112) = 57/56 after simplification.\n</reasoning>\nFinal Answer: 57/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39163 at 17% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39163 × 17 × 10 / 100 = 66577.1.\n</reasoning>\nFinal Answer: 66577.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (30)x + (25) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 30² - 4×5×25 = 400. √discriminant = 20. x = (-(30) ± 20) / (2×5). Solutions: x = -5 or x = -1.\n</reasoning>\nFinal Answer: x = -5 or x = -1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 17, 49, 90, 65, 63, 25, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 17: 1, 49: 1, 90: 1, 65: 1, 63: 1, 25: 1, 98: 1}. Most frequent: [6, 17, 49, 90, 65, 63, 25, 98].\n</reasoning>\nFinal Answer: [6, 17, 49,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "527 is what percentage of 673?"
},
{
"role": "assistant",
"content": "<reasoning>\n(527/673) × 100 = 78.3061%.\n</reasoning>\nFinal Answer: 78.3061%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 34 = 334"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 15x = 300. Divide by 15: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -714 × -316"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -714 by -316: -714 × -316 = 225624.\n</reasoning>\nFinal Answer: 225624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 724 mod 514"
},
{
"role": "assistant",
"content": "<reasoning>\n724 mod 514: 724 = 514 × 1 + 210, so remainder = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -30 = -1044"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 26x = -1014. Divide by 26: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 12 mod -290"
},
{
"role": "assistant",
"content": "<reasoning>\n12 mod -290: 12 = -290 × -1 + -278, so remainder = -278.\n</reasoning>\nFinal Answer: -278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 68 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 68 × (1 + 12/100) = 68 × 1.12 = 76.16.\n</reasoning>\nFinal Answer: 76.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -961 mod 384"
},
{
"role": "assistant",
"content": "<reasoning>\n-961 mod 384: -961 = 384 × -3 + 191, so remainder = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 38, 37, 81, 11, 68, 2, 65, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 11, 37, 38, 49, 65, 68, 70, 81]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹1592. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1592 × 28/100 = 445.76. Total = 1592 + 445.76 = 2037.76.\n</reasoning>\nFinal Answer: 2037.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:37 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/37, so B = A × (37/10) = 18 × 37/10 = 66.6.\n</reasoning>\nFinal Answer: 66.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 37 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+37) × 10 = 345.0.\n</reasoning>\nFinal Answer: 345.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -388 + -148"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -388 and -148: -388 + -148 = -536.\n</reasoning>\nFinal Answer: -536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 13, 37, 69, 26, 68, 99, 51, 76, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 11 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 2 = 92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 9x = 90. Divide by 9: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 33 + 4 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×33=1617 and 4×18=72, then add: 1689.\n</reasoning>\nFinal Answer: 1689"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 6 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 6/13 = 0.4615.\n</reasoning>\nFinal Answer: 0.4615"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -46 = 230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 23x = 276. Divide by 23: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 651 - 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 115 from 651: 651 - 115 = 536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 21 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+21) × 45 = 1552.5.\n</reasoning>\nFinal Answer: 1552.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 35, 31, 33, 2, 40, 90, 80, 76, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 31, 32, 33, 35, 40, 76, 80, 89, 90]. Middle value(s) → median = 37.5.\n</reasoning>\nFinal Answer: 37.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -399 ÷ -579"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -399 by -579. -399 ÷ -579 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 100, 87, 14, 83, 27, 17, 1, 22, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 100: 1, 87: 1, 14: 1, 83: 1, 27: 1, 17: 1, 1: 1, 22: 1, 30: 1}. Most frequent: [2, 100, 87, 14, 83, 27, 17, 1, 22, 30].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:8 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/8, so B = A × (8/9) = 54 × 8/9 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -485 × 709"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -485 by 709: -485 × 709 = -343865.\n</reasoning>\nFinal Answer: -343865"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 46, 8, 15, 9, 92, 46, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 330/8 = 41.25.\n</reasoning>\nFinal Answer: 41.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 2 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 21/60 = 2.3500 hours. Distance = speed × time = 182 × 2.3500 = 427.7 km.\n</reasoning>\nFinal Answer: 427.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 44, 92, 14, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 41, 44, 58, 92]. Middle value(s) → median = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 33 + 81"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 33 and 81: 33 + 81 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 33 = 313"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 28x = 280. Divide by 28: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "10 is what percentage of 15?"
},
{
"role": "assistant",
"content": "<reasoning>\n(10/15) × 100 = 66.6667%.\n</reasoning>\nFinal Answer: 66.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 26, 35, 34, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 26: 1, 35: 1, 34: 1, 50: 1}. Most frequent: [85, 26, 35, 34, 50].\n</reasoning>\nFinal Answer: [85, 26, 35, 34, 50]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 40, 36, 90, 51, 56, 26, 77, 2, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 2 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 29 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+29) × 5 = 132.5.\n</reasoning>\nFinal Answer: 132.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 558 ÷ -136"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 558 by -136. 558 ÷ -136 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:40 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/40, so B = A × (40/8) = 39 × 40/8 = 195.0.\n</reasoning>\nFinal Answer: 195.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 6, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (22-1)×6 = 24 + 126 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 195 ÷ 63"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 195 by 63. 195 ÷ 63 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 18, 19] and B = [6, 7, 10, 14, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 7, 10, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 6, 7, 10, 14, 15, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 39 = -801"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 20x = -840. Divide by 20: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 487?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 487 = (65/100) × 487 = 316.55.\n</reasoning>\nFinal Answer: 316.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -43 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 4x = 152. Divide by 4: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 3 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 3 × 61 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 27, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 27 + 35 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 * 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/13) × (12/12) = (48/156) = 4/13 after simplification.\n</reasoning>\nFinal Answer: 4/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 92, 29, 18, 15, 30, 71, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 328/8 = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 + 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/17 + 12/17. Common denominator = 17. Result = 23/17.\n</reasoning>\nFinal Answer: 23/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 is what percentage of 356?"
},
{
"role": "assistant",
"content": "<reasoning>\n(5/356) × 100 = 1.4045%.\n</reasoning>\nFinal Answer: 1.4045%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 + 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/16 + 6/15. Common denominator = 5. Result = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 16, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (38-1)×16 = 35 + 592 = 627.\n</reasoning>\nFinal Answer: 627"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 30, 65, 32, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 32, 56, 65, 76]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -751 - 838"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 838 from -751: -751 - 838 = -1589.\n</reasoning>\nFinal Answer: -1589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:25 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/25, so B = A × (25/40) = 15 × 25/40 = 9.375.\n</reasoning>\nFinal Answer: 9.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 40, 92, 56, 46, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [40, 45, 46, 55, 56, 92]. Middle value(s) → median = 50.5.\n</reasoning>\nFinal Answer: 50.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 42 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 42 × 72 = 1512.0.\n</reasoning>\nFinal Answer: 1512.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:14 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/14, so B = A × (14/44) = 74 × 14/44 = 23.5455.\n</reasoning>\nFinal Answer: 23.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:10 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/10, so B = A × (10/37) = 16 × 10/37 = 4.3243.\n</reasoning>\nFinal Answer: 4.3243"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 10 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 10/17 = 0.5882.\n</reasoning>\nFinal Answer: 0.5882"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 39 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 39²=1521, then 9+1521-19=1511.\n</reasoning>\nFinal Answer: 1511"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 37 and 158."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(37,158) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -28 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 13x = 156. Divide by 13: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 59 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(59+3) = 2×62 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 15. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 15² = π × 225 ≈ 706.8583.\n</reasoning>\nFinal Answer: 706.8583"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 31 = 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | easy | [
"geometry",
"area"
] |
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