messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 796 + -59"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 796 and -59: 796 + -59 = 737.\n</reasoning>\nFinal Answer: 737"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 19 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+19) × 41 = 1066.0.\n</reasoning>\nFinal Answer: 1066.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 17 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 17 = 255 worker-days. New time = 255 / 11 = 23.1818 days.\n</reasoning>\nFinal Answer: 23.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [86, 63, 5, 11, 87, 96, 9, 72, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 510/9 = 56.6667.\n</reasoning>\nFinal Answer: 56.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 6 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+6) × 4 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3704. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3704 × 28/100 = 1037.12. Total = 3704 + 1037.12 = 4741.12.\n</reasoning>\nFinal Answer: 4741.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 * 38 + 20 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 46×38=1748 and 20×6=120, then add: 1868.\n</reasoning>\nFinal Answer: 1868"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 9, 16, 17, 18] and B = [2, 3, 4, 6, 14, 16, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 9, 18].\n</reasoning>\nFinal Answer: [8, 9, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 9 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 33/60 = 9.5500 hours. Distance = speed × time = 153 × 9.5500 = 1461.15 km.\n</reasoning>\nFinal Answer: 1461.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 23, 73, 6, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 256/5 = 51.2.\n</reasoning>\nFinal Answer: 51.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -447 ÷ -93"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -447 by -93. -447 ÷ -93 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 10, 11, 13] and B = [2, 5, 6, 7, 8, 11, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 13].\n</reasoning>\nFinal Answer: [10, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -927 ÷ -846"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -927 by -846. -927 ÷ -846 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:4 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/4, so B = A × (4/1) = 18 × 4/1 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 25 * 19 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×19=475, then 46+475-24=497.\n</reasoning>\nFinal Answer: 497"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 22) * (21 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+22)=57, (21-49)=-28, then 57×-28=-1596.\n</reasoning>\nFinal Answer: -1596"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/13 + 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/13 + 6/17. Common denominator = 221. Result = 384/221.\n</reasoning>\nFinal Answer: 384/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 78, 7, 63, 5, 97, 5, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 5 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 7% of 5?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 5 = (7/100) × 5 = 0.35.\n</reasoning>\nFinal Answer: 0.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 110 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(110,120) = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -413 mod -731"
},
{
"role": "assistant",
"content": "<reasoning>\n-413 mod -731: -413 = -731 × 0 + -413, so remainder = -413.\n</reasoning>\nFinal Answer: -413"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6547 at 6% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6547 × 6 × 5 / 100 = 1964.1.\n</reasoning>\nFinal Answer: 1964.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 877 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 877 × (1 - 80/100) = 877 × 0.19999999999999996 = 175.4.\n</reasoning>\nFinal Answer: 175.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 2, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (36-1)×2 = 44 + 70 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 94, 51, 31, 37, 95, 85, 52, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 37, 42, 51, 52, 71, 85, 94, 95]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 26 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(26+46) = 2×72 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 971 - -586"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -586 from 971: 971 - -586 = 1557.\n</reasoning>\nFinal Answer: 1557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 7, 13, 14] and B = [3, 7, 9, 13, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 7, 9, 13, 14].\n</reasoning>\nFinal Answer: [1, 3, 7, 9, 13, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:22 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/22, so B = A × (22/16) = 38 × 22/16 = 52.25.\n</reasoning>\nFinal Answer: 52.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -666 - -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from -666: -666 - -1 = -665.\n</reasoning>\nFinal Answer: -665"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -3 = -647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 14x = -644. Divide by 14: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -22 = 503"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 21x = 525. Divide by 21: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 79, 98, 47, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 79: 1, 98: 1, 47: 2}. Most frequent: 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 0 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 2x = -84. Divide by 2: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 557 mod 467"
},
{
"role": "assistant",
"content": "<reasoning>\n557 mod 467: 557 = 467 × 1 + 90, so remainder = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -624 × -874"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -624 by -874: -624 × -874 = 545376.\n</reasoning>\nFinal Answer: 545376"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 26, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 26 + 28 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 643 + 701"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 643 and 701: 643 + 701 = 1344.\n</reasoning>\nFinal Answer: 1344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -17 = 819"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 19x = 836. Divide by 19: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6917 at 13% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6917 × 13 × 10 / 100 = 8992.1.\n</reasoning>\nFinal Answer: 8992.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -866 × -881"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -866 by -881: -866 × -881 = 762946.\n</reasoning>\nFinal Answer: 762946"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 452 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 452 × (1 - 5/100) = 452 × 0.95 = 429.4.\n</reasoning>\nFinal Answer: 429.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 22 = 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 11x = 22. Divide by 11: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -157 mod -615"
},
{
"role": "assistant",
"content": "<reasoning>\n-157 mod -615: -157 = -615 × 0 + -157, so remainder = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42175 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42175 × 4 × 4 / 100 = 6748.0.\n</reasoning>\nFinal Answer: 6748.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -14 = -336"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 23x = -322. Divide by 23: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 10, 13, 18, 19] and B = [3, 4, 5, 8, 11, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 6, 8, 10, 11, 13, 17, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 46 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 44+2116-25=2135.\n</reasoning>\nFinal Answer: 2135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 22, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 22 + 25 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = 243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = 287. Divide by 7: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 53 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 53 × 68 = 1802.0.\n</reasoning>\nFinal Answer: 1802.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 + 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/4 + 10/5. Common denominator = 4. Result = 11/4.\n</reasoning>\nFinal Answer: 11/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -875 ÷ -252"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -875 by -252. -875 ÷ -252 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 56, 56, 53, 77, 53, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 56: 2, 53: 2, 77: 1, 47: 1}. Most frequent: [56, 53].\n</reasoning>\nFinal Answer: [56, 53]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -865 ÷ -998"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -865 by -998. -865 ÷ -998 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 87, 49, 51, 93, 27, 31, 77, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 27 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 338 km apart. Their speeds are 64 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+105=169 km/h. Time = 338/169 = 2.0 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 87 × -999"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 87 by -999: 87 × -999 = -86913.\n</reasoning>\nFinal Answer: -86913"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:34 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/34, so B = A × (34/1) = 73 × 34/1 = 2482.0.\n</reasoning>\nFinal Answer: 2482.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 8 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(8+55) = 2×63 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:20 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/20, so B = A × (20/15) = 70 × 20/15 = 93.3333.\n</reasoning>\nFinal Answer: 93.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -398 × -344"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -398 by -344: -398 × -344 = 136912.\n</reasoning>\nFinal Answer: 136912"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -123 mod 742"
},
{
"role": "assistant",
"content": "<reasoning>\n-123 mod 742: -123 = 742 × -1 + 619, so remainder = 619.\n</reasoning>\nFinal Answer: 619"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -20 = -488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 13x = -468. Divide by 13: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 84, 100, 40, 99, 26, 97, 48, 76, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 40, 48, 56, 72, 76, 84, 97, 99, 100]. Middle value(s) → median = 74.0.\n</reasoning>\nFinal Answer: 74.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 21 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 21 = 105 worker-days. New time = 105 / 18 = 5.8333 days.\n</reasoning>\nFinal Answer: 5.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 5 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 1x = -50. Divide by 1: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -16 = -90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 2x = -74. Divide by 2: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/11 - 8/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/11 - 8/13. LCD = 143. Result = 94/143.\n</reasoning>\nFinal Answer: 94/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 724 km apart. Their speeds are 68 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+62=130 km/h. Time = 724/130 = 5.5692 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -97 - 323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 323 from -97: -97 - 323 = -420.\n</reasoning>\nFinal Answer: -420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 44 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (44×49)/1 = 2156.\n</reasoning>\nFinal Answer: 2156"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "349 is what percentage of 665?"
},
{
"role": "assistant",
"content": "<reasoning>\n(349/665) × 100 = 52.4812%.\n</reasoning>\nFinal Answer: 52.4812%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 35 = 2030.\n</reasoning>\nFinal Answer: 2030"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 62 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(62+7) = 2×69 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -12 = 43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 11x = 55. Divide by 11: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 19 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 19 = 152 worker-days. New time = 152 / 5 = 30.4 days.\n</reasoning>\nFinal Answer: 30.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 7 + 10 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×7=126 and 10×1=10, then add: 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:22 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/22, so B = A × (22/2) = 51 × 22/2 = 561.0.\n</reasoning>\nFinal Answer: 561.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 45 * 22 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×22=990, then 46+990-16=1020.\n</reasoning>\nFinal Answer: 1020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 / 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/19) ÷ (16/12) = (19/19) × (12/16) = 3/4.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 374 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 374 × (1 - 45/100) = 374 × 0.55 = 205.7.\n</reasoning>\nFinal Answer: 205.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 - 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/14 - 7/8. LCD = 56. Result = -41/56.\n</reasoning>\nFinal Answer: -41/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/3 / 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/3) ÷ (15/7) = (10/3) × (7/15) = 14/9.\n</reasoning>\nFinal Answer: 14/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 + 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/2 + 15/19. Common denominator = 19. Result = 110/19.\n</reasoning>\nFinal Answer: 110/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 / 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/3) ÷ (1/16) = (16/3) × (16/1) = 256/3.\n</reasoning>\nFinal Answer: 256/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 493 - 208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 208 from 493: 493 - 208 = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 6, 10, 11, 14, 17] and B = [12, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 12, 16, 18] and B = [1, 7, 10, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [7, 10, 12, 16, 19].\n</reasoning>\nFinal Answer: [7, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 17, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (46-1)×17 = 4 + 765 = 769.\n</reasoning>\nFinal Answer: 769"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 14 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 14 × (1 + 100/100) = 14 × 2.0 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹883. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 883 × 5/100 = 44.15. Total = 883 + 44.15 = 927.15.\n</reasoning>\nFinal Answer: 927.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 15% of 942?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 942 = (15/100) × 942 = 141.3.\n</reasoning>\nFinal Answer: 141.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -44 = -194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 10x = -150. Divide by 10: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 51, 40, 47, 53, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 299/6 = 49.8333.\n</reasoning>\nFinal Answer: 49.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 23 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 15+529-17=527.\n</reasoning>\nFinal Answer: 527"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 33) * (29 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+33)=35, (29-15)=14, then 35×14=490.\n</reasoning>\nFinal Answer: 490"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 26 * 32 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×32=832, then 49+832-10=871.\n</reasoning>\nFinal Answer: 871"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 75, 98, 79, 67, 95, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [46, 67, 75, 79, 95, 98, 100]. Middle value(s) → median = 79.\n</reasoning>\nFinal Answer: 79"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 34, 20, 2, 80, 3, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 34: 1, 20: 1, 2: 1, 80: 1, 3: 1, 74: 1}. Most frequent: [41, 34, 20, 2, 80, 3, 74].\n</reasoning>\nFinal Answer: [41, 34, 20, 2, 80, 3, 74]"
... | easy | [
"statistics",
"mode"
] |
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