messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 103 + 117"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 103 and 117: 103 + 117 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-5)x + (-210) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×5×-210 = 4225. √discriminant = 65. x = (-(-5) ± 65) / (2×5). Solutions: x = -6 or x = 7.\n</reasoning>\nFinal Answer: x = -6 or x = 7"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 10, 11, 12, 16, 18, 19] and B = [3, 4, 6, 7, 13, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 11, 12, 16, 18].\n</reasoning>\nFinal Answer: [10, 11, 12, 16, 18... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 246 × 254"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 246 by 254: 246 × 254 = 62484.\n</reasoning>\nFinal Answer: 62484"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -343 + 513"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -343 and 513: -343 + 513 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 258 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 258 × (1 - 30/100) = 258 × 0.7 = 180.6.\n</reasoning>\nFinal Answer: 180.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -741 × -457"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -741 by -457: -741 × -457 = 338637.\n</reasoning>\nFinal Answer: 338637"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 979 + -443"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 979 and -443: 979 + -443 = 536.\n</reasoning>\nFinal Answer: 536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 474 km apart. Their speeds are 110 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+97=207 km/h. Time = 474/207 = 2.2899 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 67 km/h. How far does it travel in 11 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 36/60 = 11.6000 hours. Distance = speed × time = 67 × 11.6000 = 777.2 km.\n</reasoning>\nFinal Answer: 777.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 6 = -209"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 5x = -215. Divide by 5: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 9, 12, 15, 17, 19] and B = [1, 3, 6, 13, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [15].\n</reasoning>\nFinal Answer: [15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 30, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 30 + 36 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 47) * (47 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+47)=97, (47-26)=21, then 97×21=2037.\n</reasoning>\nFinal Answer: 2037"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+66) = 2×157 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 21) * (29 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+21)=41, (29-3)=26, then 41×26=1066.\n</reasoning>\nFinal Answer: 1066"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -10 = -314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 16x = -304. Divide by 16: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 49, 52, 56, 13, 70, 15, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 11 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -42 = 282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 12x = 324. Divide by 12: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7997 at 9% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7997 × 9 × 3 / 100 = 2159.19.\n</reasoning>\nFinal Answer: 2159.19"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -761 - 575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 575 from -761: -761 - 575 = -1336.\n</reasoning>\nFinal Answer: -1336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×21)/7 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 62, 35, 4, 89, 29, 64, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 9, 29, 35, 43, 62, 64, 89]. Middle value(s) → median = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 14 * 35 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×35=490, then 38+490-42=486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 2 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 2/4 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 5 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 5 = 90 worker-days. New time = 90 / 17 = 5.2941 days.\n</reasoning>\nFinal Answer: 5.2941"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 237 + -254"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 237 and -254: 237 + -254 = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -687 × 778"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -687 by 778: -687 × 778 = -534486.\n</reasoning>\nFinal Answer: -534486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 * 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/15) × (3/12) = (15/180) = 1/12 after simplification.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 + 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/16 + 13/19. Common denominator = 152. Result = 199/152.\n</reasoning>\nFinal Answer: 199/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:45 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/45, so B = A × (45/20) = 79 × 45/20 = 177.75.\n</reasoning>\nFinal Answer: 177.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 42 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 26+1764-44=1746.\n</reasoning>\nFinal Answer: 1746"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 4."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 4: factors are [1, 2, 4].\n</reasoning>\nFinal Answer: [1, 2, 4]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 188 and 178."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(188,178) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42905 at 15% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42905 × 15 × 3 / 100 = 19307.25.\n</reasoning>\nFinal Answer: 19307.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 302 ÷ -410"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 302 by -410. 302 ÷ -410 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 46 + 26 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×46=1012 and 26×46=1196, then add: 2208.\n</reasoning>\nFinal Answer: 2208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+37) = 2×75 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 28 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+28) × 19 = 275.5.\n</reasoning>\nFinal Answer: 275.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 823 + -567"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 823 and -567: 823 + -567 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 82, 19, 91, 30, 3, 58, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 350/8 = 43.75.\n</reasoning>\nFinal Answer: 43.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 26, 32, 30, 26, 44, 76, 51, 81, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 466/10 = 46.6.\n</reasoning>\nFinal Answer: 46.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 8 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 8 = 88 worker-days. New time = 88 / 9 = 9.7778 days.\n</reasoning>\nFinal Answer: 9.7778"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 207 × 310"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 207 by 310: 207 × 310 = 64170.\n</reasoning>\nFinal Answer: 64170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 395."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 395 by smallest primes repeatedly: 395 = 5 × 79.\n</reasoning>\nFinal Answer: 5 × 79"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -16 = -62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 1x = -46. Divide by 1: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 * 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/2) × (16/1) = (112/2) = 56 after simplification.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 1, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (34-1)×1 = 47 + 33 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+87) = 2×174 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 / 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/12) ÷ (10/8) = (7/12) × (8/10) = 7/15.\n</reasoning>\nFinal Answer: 7/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×16)/1 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32069 at 9% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32069 × 9 × 4 / 100 = 11544.84.\n</reasoning>\nFinal Answer: 11544.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 37, 88, 29, 8, 39, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 287/7 = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 40 * 18 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×18=720, then 31+720-20=731.\n</reasoning>\nFinal Answer: 731"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹760. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 760 × 5/100 = 38.0. Total = 760 + 38.0 = 798.0.\n</reasoning>\nFinal Answer: 798.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 40 = 1700.0.\n</reasoning>\nFinal Answer: 1700.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -418 + -668"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -418 and -668: -418 + -668 = -1086.\n</reasoning>\nFinal Answer: -1086"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 49 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 3x = -84. Divide by 3: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 2, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (33-1)×2 = 23 + 64 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 51 and 189."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(51,189) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 + 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/13 + 19/7. Common denominator = 7. Result = 26/7.\n</reasoning>\nFinal Answer: 26/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 * 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/18) × (9/10) = (180/180) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 99 = 297.0.\n</reasoning>\nFinal Answer: 297.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 40, 50, 56, 8, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 40, 50, 56, 64, 72]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 976 km apart. Their speeds are 113 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+107=220 km/h. Time = 976/220 = 4.4364 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 8, 9, 10, 13, 15, 16] and B = [1, 5, 9, 10, 13, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 8, 15, 16, 18, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 65% of 234?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 234 = (65/100) × 234 = 152.1.\n</reasoning>\nFinal Answer: 152.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 + 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/8 + 16/8. Common denominator = 8. Result = 19/8.\n</reasoning>\nFinal Answer: 19/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 84 = 1092.\n</reasoning>\nFinal Answer: 1092"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 7, 8, 17, 19] and B = [8, 11, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 6, 7, 11, 14, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 633 mod 226"
},
{
"role": "assistant",
"content": "<reasoning>\n633 mod 226: 633 = 226 × 2 + 181, so remainder = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 2 = 398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 22x = 396. Divide by 22: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 50."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 50 by smallest primes repeatedly: 50 = 2 × 5 × 5.\n</reasoning>\nFinal Answer: 2 × 5 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 45 = 3960.\n</reasoning>\nFinal Answer: 3960"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 961 + 701"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 961 and 701: 961 + 701 = 1662.\n</reasoning>\nFinal Answer: 1662"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 958 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 958 × (1 + 7/100) = 958 × 1.07 = 1025.06.\n</reasoning>\nFinal Answer: 1025.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 / 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/12) ÷ (18/18) = (19/12) × (18/18) = 19/12.\n</reasoning>\nFinal Answer: 19/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 714 ÷ 656"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 714 by 656. 714 ÷ 656 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 29 + 26 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×29=1276 and 26×5=130, then add: 1406.\n</reasoning>\nFinal Answer: 1406"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 568 + 684"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 568 and 684: 568 + 684 = 1252.\n</reasoning>\nFinal Answer: 1252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 921 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 921 × (1 - 3/100) = 921 × 0.97 = 893.37.\n</reasoning>\nFinal Answer: 893.37"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 - 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/3 - 7/9. LCD = 9. Result = 26/9.\n</reasoning>\nFinal Answer: 26/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 406."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 406 by smallest primes repeatedly: 406 = 2 × 7 × 29.\n</reasoning>\nFinal Answer: 2 × 7 × 29"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 17 = -535"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 24x = -552. Divide by 24: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 37 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 14+1369-26=1357.\n</reasoning>\nFinal Answer: 1357"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 3 = -87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 6x = -90. Divide by 6: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1688 at 6% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1688 × 6 × 8 / 100 = 810.24.\n</reasoning>\nFinal Answer: 810.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 442 × -622"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 442 by -622: 442 × -622 = -274924.\n</reasoning>\nFinal Answer: -274924"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 84 km/h. How far does it travel in 11 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 32/60 = 11.5333 hours. Distance = speed × time = 84 × 11.5333 = 968.8 km.\n</reasoning>\nFinal Answer: 968.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 51 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(51+46) = 2×97 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 104 ÷ 84"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 104 by 84. 104 ÷ 84 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [27, 67, 29, 57, 5, 18, 22, 30, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 18, 22, 27, 29, 30, 57, 67, 95]. Middle value(s) → median = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 36) * (14 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+36)=86, (14-34)=-20, then 86×-20=-1720.\n</reasoning>\nFinal Answer: -1720"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29930 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29930 × 8 × 3 / 100 = 7183.2.\n</reasoning>\nFinal Answer: 7183.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 642 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 642 × (1 + 60/100) = 642 × 1.6 = 1027.2.\n</reasoning>\nFinal Answer: 1027.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 / 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/19) ÷ (1/11) = (2/19) × (11/1) = 22/19.\n</reasoning>\nFinal Answer: 22/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 887?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 887 = (35/100) × 887 = 310.45.\n</reasoning>\nFinal Answer: 310.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:17 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/17, so B = A × (17/14) = 36 × 17/14 = 43.7143.\n</reasoning>\nFinal Answer: 43.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 217 km apart. Their speeds are 41 km/h and 73 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+73=114 km/h. Time = 217/114 = 1.9035 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 367 - 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 128 from 367: 367 - 128 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"arithmetic",
"computation"
] |
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