messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 4x + -3 = 53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 4x = 56. Divide by 4: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 26) * (13 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+26)=27, (13-31)=-18, then 27×-18=-486.\n</reasoning>\nFinal Answer: -486"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 702 km apart. Their speeds are 76 km/h and 104 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+104=180 km/h. Time = 702/180 = 3.9 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 27 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 27 = 486 worker-days. New time = 486 / 6 = 81.0 days.\n</reasoning>\nFinal Answer: 81.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 946 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 946 × (1 - 80/100) = 946 × 0.19999999999999996 = 189.2.\n</reasoning>\nFinal Answer: 189.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 49) * (10 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+49)=65, (10-42)=-32, then 65×-32=-2080.\n</reasoning>\nFinal Answer: -2080"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "398 is what percentage of 619?"
},
{
"role": "assistant",
"content": "<reasoning>\n(398/619) × 100 = 64.2973%.\n</reasoning>\nFinal Answer: 64.2973%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -48 = -160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 16x = -112. Divide by 16: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -22 = -31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 3x = -9. Divide by 3: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -50 = -578"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 12x = -528. Divide by 12: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 763 km apart. Their speeds are 68 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+108=176 km/h. Time = 763/176 = 4.3352 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 46, 84, 52, 57, 64, 32, 69, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 527/9 = 58.5556.\n</reasoning>\nFinal Answer: 58.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:20 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/20, so B = A × (20/1) = 86 × 20/1 = 1720.0.\n</reasoning>\nFinal Answer: 1720.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1860. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1860 × 18/100 = 334.8. Total = 1860 + 334.8 = 2194.8.\n</reasoning>\nFinal Answer: 2194.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 957 + -444"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 957 and -444: 957 + -444 = 513.\n</reasoning>\nFinal Answer: 513"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 18, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (21-1)×18 = 42 + 360 = 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 54 = 4644.\n</reasoning>\nFinal Answer: 4644"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 33 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 33 × 93 = 3069.\n</reasoning>\nFinal Answer: 3069"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 72."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 72 = 1224.0.\n</reasoning>\nFinal Answer: 1224.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×24)/2 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 8, 14, 46, 52, 70, 8, 43, 9, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 8 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 - 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/16 - 12/13. LCD = 52. Result = 17/52.\n</reasoning>\nFinal Answer: 17/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 48, 43, 86, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [42, 43, 48, 59, 86]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10479 at 18% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10479 × 18 × 4 / 100 = 7544.88.\n</reasoning>\nFinal Answer: 7544.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 44, 7, 60, 19, 51, 84, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 2 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 18, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (38-1)×18 = 26 + 666 = 692.\n</reasoning>\nFinal Answer: 692"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2678. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2678 × 12/100 = 321.36. Total = 2678 + 321.36 = 2999.36.\n</reasoning>\nFinal Answer: 2999.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -760 mod 744"
},
{
"role": "assistant",
"content": "<reasoning>\n-760 mod 744: -760 = 744 × -2 + 728, so remainder = 728.\n</reasoning>\nFinal Answer: 728"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -327 ÷ 900"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -327 by 900. -327 ÷ 900 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 280 km apart. Their speeds are 91 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+102=193 km/h. Time = 280/193 = 1.4508 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 488 + 612"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 488 and 612: 488 + 612 = 1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 44) * (17 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+44)=65, (17-16)=1, then 65×1=65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 941 ÷ 915"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 941 by 915. 941 ÷ 915 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 24 * 33 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×33=792, then 49+792-27=814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 16 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 10+256-11=255.\n</reasoning>\nFinal Answer: 255"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [8, 40, 36, 56, 58, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 58 - 8 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 149 and 195."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(149,195) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -36 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 1x = 30. Divide by 1: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 12] and B = [1, 7, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 7, 12, 17, 19].\n</reasoning>\nFinal Answer: [4, 7, 12, 17, 19]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:28 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/28, so B = A × (28/11) = 27 × 28/11 = 68.7273.\n</reasoning>\nFinal Answer: 68.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 865 + 832"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 865 and 832: 865 + 832 = 1697.\n</reasoning>\nFinal Answer: 1697"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/18 / 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/18) ÷ (18/1) = (4/18) × (1/18) = 1/81.\n</reasoning>\nFinal Answer: 1/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -829 ÷ -726"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -829 by -726. -829 ÷ -726 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:29 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/29, so B = A × (29/13) = 76 × 29/13 = 169.5385.\n</reasoning>\nFinal Answer: 169.5385"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 3 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 12+9-35=-14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 30 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 12x = 12. Divide by 12: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:28 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/28, so B = A × (28/33) = 92 × 28/33 = 78.0606.\n</reasoning>\nFinal Answer: 78.0606"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 29 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 18+841-44=815.\n</reasoning>\nFinal Answer: 815"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+36) = 2×117 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "26 is what percentage of 127?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/127) × 100 = 20.4724%.\n</reasoning>\nFinal Answer: 20.4724%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -44 = 644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 16x = 688. Divide by 16: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 25 + 34 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×25=650 and 34×18=612, then add: 1262.\n</reasoning>\nFinal Answer: 1262"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 623 km apart. Their speeds are 89 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 89+97=186 km/h. Time = 623/186 = 3.3495 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:37 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/37, so B = A × (37/37) = 68 × 37/37 = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×2)/2 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 4 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 6 × 311"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 6 by 311: 6 × 311 = 1866.\n</reasoning>\nFinal Answer: 1866"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 - 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/16 - 1/15. LCD = 120. Result = 37/120.\n</reasoning>\nFinal Answer: 37/120"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 69, 38, 68, 6, 26, 35, 59, 55, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 6 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 7, 34, 63, 57, 90, 11, 21, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 2, 34: 1, 63: 1, 57: 1, 90: 1, 11: 1, 21: 1, 99: 1}. Most frequent: 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 433 - -719"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -719 from 433: 433 - -719 = 1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 12% of 45?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 45 = (12/100) × 45 = 5.4.\n</reasoning>\nFinal Answer: 5.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2883. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2883 × 5/100 = 144.15. Total = 2883 + 144.15 = 3027.15.\n</reasoning>\nFinal Answer: 3027.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 14] and B = [3, 6, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 14].\n</reasoning>\nFinal Answer: [2, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 88, 56, 41, 38, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 38 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 40 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 40 × 82 = 3280.\n</reasoning>\nFinal Answer: 3280"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 47 * 27 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×27=1269, then 36+1269-18=1287.\n</reasoning>\nFinal Answer: 1287"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:26 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/26, so B = A × (26/15) = 89 × 26/15 = 154.2667.\n</reasoning>\nFinal Answer: 154.2667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:27 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/27, so B = A × (27/49) = 16 × 27/49 = 8.8163.\n</reasoning>\nFinal Answer: 8.8163"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 93, 100, 72, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 406/5 = 81.2.\n</reasoning>\nFinal Answer: 81.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 48 = 1548"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 30x = 1500. Divide by 30: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = 56. Divide by 7: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 58 km/h. How far does it travel in 6 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 58/60 = 6.9667 hours. Distance = speed × time = 58 × 6.9667 = 404.0667 km.\n</reasoning>\nFinal Answer: 404.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+80) = 2×111 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -20 = 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 5x = 200. Divide by 5: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 9, 10, 25, 6, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 193/6 = 32.1667.\n</reasoning>\nFinal Answer: 32.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 33, 83, 93, 93, 12, 17, 18, 18, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 12, 17, 18, 18, 30, 33, 83, 93, 93]. Middle value(s) → median = 24.0.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 296 mod -380"
},
{
"role": "assistant",
"content": "<reasoning>\n296 mod -380: 296 = -380 × -1 + -84, so remainder = -84.\n</reasoning>\nFinal Answer: -84"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 369?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 369 = (7/100) × 369 = 25.83.\n</reasoning>\nFinal Answer: 25.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 75% of 796?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 796 = (75/100) × 796 = 597.0.\n</reasoning>\nFinal Answer: 597.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2787. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2787 × 12/100 = 334.44. Total = 2787 + 334.44 = 3121.44.\n</reasoning>\nFinal Answer: 3121.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×8)/2 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "443 is what percentage of 545?"
},
{
"role": "assistant",
"content": "<reasoning>\n(443/545) × 100 = 81.2844%.\n</reasoning>\nFinal Answer: 81.2844%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 55 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(55+85) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 747 mod 866"
},
{
"role": "assistant",
"content": "<reasoning>\n747 mod 866: 747 = 866 × 0 + 747, so remainder = 747.\n</reasoning>\nFinal Answer: 747"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 32, 95, 81, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 30, 32, 81, 95]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 37 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 37 × 49 = 1813.\n</reasoning>\nFinal Answer: 1813"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -229 ÷ -627"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -229 by -627. -229 ÷ -627 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 26 + 43 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×26=1092 and 43×7=301, then add: 1393.\n</reasoning>\nFinal Answer: 1393"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 2 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 2 × 15 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -441 × -840"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -441 by -840: -441 × -840 = 370440.\n</reasoning>\nFinal Answer: 370440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -868 - -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -316 from -868: -868 - -316 = -552.\n</reasoning>\nFinal Answer: -552"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 10, 59, 74, 42, 44, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 10: 1, 59: 1, 74: 1, 42: 1, 44: 1, 61: 1}. Most frequent: [70, 10, 59, 74, 42, 44, 61].\n</reasoning>\nFinal Answer: [70, 10, 59, 74, 42, 44... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 40 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 26+1600-47=1579.\n</reasoning>\nFinal Answer: 1579"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 + 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/17 + 10/18. Common denominator = 153. Result = 184/153.\n</reasoning>\nFinal Answer: 184/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:48 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/48, so B = A × (48/21) = 85 × 48/21 = 194.2857.\n</reasoning>\nFinal Answer: 194.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-8)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×4×0 = 64. √discriminant = 8. x = (-(-8) ± 8) / (2×4). Solutions: x = 0 or x = 2.\n</reasoning>\nFinal Answer: x = 0 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 20, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (28-1)×20 = 13 + 540 = 553.\n</reasoning>\nFinal Answer: 553"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 85, 23, 67, 13, 47, 58, 99, 9, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 13, 20, 23, 47, 58, 67, 84, 85, 99]. Middle value(s) → median = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28415 at 6% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28415 × 6 × 8 / 100 = 13639.2.\n</reasoning>\nFinal Answer: 13639.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
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