messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 37 * 10 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×10=370, then 36+370-36=370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 777 - -727"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -727 from 777: 777 - -727 = 1504.\n</reasoning>\nFinal Answer: 1504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:39 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/39, so B = A × (39/9) = 72 × 39/9 = 312.0.\n</reasoning>\nFinal Answer: 312.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3803. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3803 × 12/100 = 456.36. Total = 3803 + 456.36 = 4259.36.\n</reasoning>\nFinal Answer: 4259.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 45, 23, 67, 8, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 23, 45, 67, 81, 93]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 20 * 10 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×10=200, then 23+200-37=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 23, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 23 + 33 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 45 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+45) × 18 = 549.0.\n</reasoning>\nFinal Answer: 549.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 + 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/11 + 6/20. Common denominator = 110. Result = 113/110.\n</reasoning>\nFinal Answer: 113/110"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:16 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/16, so B = A × (16/5) = 19 × 16/5 = 60.8.\n</reasoning>\nFinal Answer: 60.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 846 - -706"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -706 from 846: 846 - -706 = 1552.\n</reasoning>\nFinal Answer: 1552"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 16 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 7x = 0. Divide by 7: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "List all positive factors of 76."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 76: factors are [1, 2, 4, 19, 38, 76].\n</reasoning>\nFinal Answer: [1, 2, 4, 19, 38, 76]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 183 km apart. Their speeds are 103 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+66=169 km/h. Time = 183/169 = 1.0828 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:11 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/11, so B = A × (11/33) = 8 × 11/33 = 2.6667.\n</reasoning>\nFinal Answer: 2.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 19 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(19,18) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:39 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/39, so B = A × (39/1) = 15 × 39/1 = 585.0.\n</reasoning>\nFinal Answer: 585.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -48 = -1148"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 25x = -1100. Divide by 25: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 13 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+13) × 9 = 225.0.\n</reasoning>\nFinal Answer: 225.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+21) = 2×58 = 116.\n</reasoning>\nFinal Answer: 116"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 5) * (45 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+5)=32, (45-32)=13, then 32×13=416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36017 at 3% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36017 × 3 × 2 / 100 = 2161.02.\n</reasoning>\nFinal Answer: 2161.02"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×22)/2 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 20, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 20 + 27 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "821 is what percentage of 867?"
},
{
"role": "assistant",
"content": "<reasoning>\n(821/867) × 100 = 94.6943%.\n</reasoning>\nFinal Answer: 94.6943%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 33 = 2112.\n</reasoning>\nFinal Answer: 2112"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 18 = 293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 25x = 275. Divide by 25: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 36 apples and buys 141 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 36 + 141 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 21 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 44+441-30=455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 5 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 5 = 20 worker-days. New time = 20 / 8 = 2.5 days.\n</reasoning>\nFinal Answer: 2.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 32 = 293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 29x = 261. Divide by 29: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -574 + -145"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -574 and -145: -574 + -145 = -719.\n</reasoning>\nFinal Answer: -719"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 200?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 200 = (10/100) × 200 = 20.0.\n</reasoning>\nFinal Answer: 20.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 1 + 37 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×1=7 and 37×33=1221, then add: 1228.\n</reasoning>\nFinal Answer: 1228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -43 - -725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -725 from -43: -43 - -725 = 682.\n</reasoning>\nFinal Answer: 682"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 24."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 24 by smallest primes repeatedly: 24 = 2 × 2 × 2 × 3.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 3"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -48 = -360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 12x = -312. Divide by 12: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 457 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 457 × (1 - 75/100) = 457 × 0.25 = 114.25.\n</reasoning>\nFinal Answer: 114.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 - 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/11 - 18/12. LCD = 22. Result = -27/22.\n</reasoning>\nFinal Answer: -27/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -272 × 522"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -272 by 522: -272 × 522 = -141984.\n</reasoning>\nFinal Answer: -141984"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 11, 13, 16] and B = [4, 7, 8, 9], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 11, 13, 16].\n</reasoning>\nFinal Answer: [3, 11, 13, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -683 + 217"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -683 and 217: -683 + 217 = -466.\n</reasoning>\nFinal Answer: -466"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -569 + -893"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -569 and -893: -569 + -893 = -1462.\n</reasoning>\nFinal Answer: -1462"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -114 + 261"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -114 and 261: -114 + 261 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -347 - -929"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -929 from -347: -347 - -929 = 582.\n</reasoning>\nFinal Answer: 582"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 18, 36, 72, 144]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 9 and ratio 2. Next term = 144 × 2 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+35) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -12 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 1x = -37. Divide by 1: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 50% of 125?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 125 = (50/100) × 125 = 62.5.\n</reasoning>\nFinal Answer: 62.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 32 + 30 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×32=1440 and 30×49=1470, then add: 2910.\n</reasoning>\nFinal Answer: 2910"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 43 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 26+1849-42=1833.\n</reasoning>\nFinal Answer: 1833"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 80 = 2960.0.\n</reasoning>\nFinal Answer: 2960.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:28 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/28, so B = A × (28/36) = 84 × 28/36 = 65.3333.\n</reasoning>\nFinal Answer: 65.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 165 apples and buys 175 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 165 + 175 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -6 = -474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 13x = -468. Divide by 13: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 * 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/1) × (9/16) = (180/16) = 45/4 after simplification.\n</reasoning>\nFinal Answer: 45/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 628 - -667"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -667 from 628: 628 - -667 = 1295.\n</reasoning>\nFinal Answer: 1295"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 232 - 967"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 967 from 232: 232 - 967 = -735.\n</reasoning>\nFinal Answer: -735"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -78 × -354"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -78 by -354: -78 × -354 = 27612.\n</reasoning>\nFinal Answer: 27612"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×41)/1 = 410.\n</reasoning>\nFinal Answer: 410"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 10 * 43 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×43=430, then 5+430-4=431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 + 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/3 + 15/13. Common denominator = 39. Result = 58/39.\n</reasoning>\nFinal Answer: 58/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 298 km apart. Their speeds are 115 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+86=201 km/h. Time = 298/201 = 1.4826 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 9 * 16 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×16=144, then 37+144-46=135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 11 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 11 = 165 worker-days. New time = 165 / 13 = 12.6923 days.\n</reasoning>\nFinal Answer: 12.6923"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 5 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 14/60 = 5.2333 hours. Distance = speed × time = 66 × 5.2333 = 345.4 km.\n</reasoning>\nFinal Answer: 345.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 39 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+39) × 33 = 676.5.\n</reasoning>\nFinal Answer: 676.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -645 ÷ -478"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -645 by -478. -645 ÷ -478 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 1 + 14 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×1=40 and 14×34=476, then add: 516.\n</reasoning>\nFinal Answer: 516"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:44 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/44, so B = A × (44/27) = 73 × 44/27 = 118.963.\n</reasoning>\nFinal Answer: 118.963"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 11, 21, 51, 23, 77, 76, 36, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 21, 23, 36, 51, 57, 76, 77, 79]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 6 = 324.\n</reasoning>\nFinal Answer: 324"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 67, 21, 7, 47, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 227/6 = 37.8333.\n</reasoning>\nFinal Answer: 37.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×33)/1 = 1221.\n</reasoning>\nFinal Answer: 1221"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 166."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 166 by smallest primes repeatedly: 166 = 2 × 83.\n</reasoning>\nFinal Answer: 2 × 83"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 38 = 3002.\n</reasoning>\nFinal Answer: 3002"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 8, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (48-1)×8 = 40 + 376 = 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -20 = -734"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 21x = -714. Divide by 21: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 61 apples and buys 103 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 61 + 103 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -20 = -202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 26x = -182. Divide by 26: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 7, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (15-1)×7 = 9 + 98 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 424 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 424 × (1 + 5/100) = 424 × 1.05 = 445.2.\n</reasoning>\nFinal Answer: 445.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 / 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/1) ÷ (19/10) = (8/1) × (10/19) = 80/19.\n</reasoning>\nFinal Answer: 80/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -607 ÷ 109"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -607 by 109. -607 ÷ 109 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 5 = -265"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 6x = -270. Divide by 6: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 42 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+42) × 29 = 667.0.\n</reasoning>\nFinal Answer: 667.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 269 + -856"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 269 and -856: 269 + -856 = -587.\n</reasoning>\nFinal Answer: -587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "63 is what percentage of 821?"
},
{
"role": "assistant",
"content": "<reasoning>\n(63/821) × 100 = 7.6736%.\n</reasoning>\nFinal Answer: 7.6736%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "96 is what percentage of 113?"
},
{
"role": "assistant",
"content": "<reasoning>\n(96/113) × 100 = 84.9558%.\n</reasoning>\nFinal Answer: 84.9558%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 653 × 960"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 653 by 960: 653 × 960 = 626880.\n</reasoning>\nFinal Answer: 626880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 12, 14, 15, 17, 19] and B = [8, 12, 13], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [12].\n</reasoning>\nFinal Answer: [12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 8, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (31-1)×8 = 40 + 240 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -199 × 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -199 by 14: -199 × 14 = -2786.\n</reasoning>\nFinal Answer: -2786"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 107 and 160."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(107,160) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 40) * (31 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+40)=77, (31-2)=29, then 77×29=2233.\n</reasoning>\nFinal Answer: 2233"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 46 = 208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 27x = 162. Divide by 27: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 71, 71, 25, 61, 85, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 370/7 = 52.8571.\n</reasoning>\nFinal Answer: 52.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 902 - 274"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 274 from 902: 902 - 274 = 628.\n</reasoning>\nFinal Answer: 628"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 96, 91, 67, 75, 90, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [63, 67, 75, 84, 90, 91, 96]. Middle value(s) → median = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -23 = -397"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 22x = -374. Divide by 22: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
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