messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 254 ÷ 990"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 254 by 990. 254 ÷ 990 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "288 is what percentage of 913?"
},
{
"role": "assistant",
"content": "<reasoning>\n(288/913) × 100 = 31.5444%.\n</reasoning>\nFinal Answer: 31.5444%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2059 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2059 × 6 × 10 / 100 = 1235.4.\n</reasoning>\nFinal Answer: 1235.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 5% of 251?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 251 = (5/100) × 251 = 12.55.\n</reasoning>\nFinal Answer: 12.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 52."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 52: factors are [1, 2, 4, 13, 26, 52].\n</reasoning>\nFinal Answer: [1, 2, 4, 13, 26, 52]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Calculate: 155 + -708"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 155 and -708: 155 + -708 = -553.\n</reasoning>\nFinal Answer: -553"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -432 + -86"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -432 and -86: -432 + -86 = -518.\n</reasoning>\nFinal Answer: -518"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 10) * (8 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+10)=38, (8-13)=-5, then 38×-5=-190.\n</reasoning>\nFinal Answer: -190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 19 = 307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 18x = 288. Divide by 18: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 70% of 632?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 632 = (70/100) × 632 = 442.4.\n</reasoning>\nFinal Answer: 442.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 53, 65, 74, 52, 35, 57, 61, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 35 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 * 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/20) × (17/7) = (85/140) = 17/28 after simplification.\n</reasoning>\nFinal Answer: 17/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16435 at 19% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16435 × 19 × 10 / 100 = 31226.5.\n</reasoning>\nFinal Answer: 31226.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 75 km/h. How far does it travel in 2 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 44/60 = 2.7333 hours. Distance = speed × time = 75 × 2.7333 = 205.0 km.\n</reasoning>\nFinal Answer: 205.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 634 + -10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 634 and -10: 634 + -10 = 624.\n</reasoning>\nFinal Answer: 624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 358 mod 996"
},
{
"role": "assistant",
"content": "<reasoning>\n358 mod 996: 358 = 996 × 0 + 358, so remainder = 358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:10 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/10, so B = A × (10/48) = 64 × 10/48 = 13.3333.\n</reasoning>\nFinal Answer: 13.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 26 + 37 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×26=598 and 37×28=1036, then add: 1634.\n</reasoning>\nFinal Answer: 1634"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 46 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(46,28) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 64, 100, 7, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 1, 64: 1, 100: 1, 7: 1, 9: 1}. Most frequent: [59, 64, 100, 7, 9].\n</reasoning>\nFinal Answer: [59, 64, 100, 7, 9]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 90% of 317?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 317 = (90/100) × 317 = 285.3.\n</reasoning>\nFinal Answer: 285.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 169 apples and buys 149 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 169 + 149 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 / 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/5) ÷ (19/6) = (19/5) × (6/19) = 6/5.\n</reasoning>\nFinal Answer: 6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 5 = -523"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 16x = -528. Divide by 16: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 27 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 27 = 189 worker-days. New time = 189 / 4 = 47.25 days.\n</reasoning>\nFinal Answer: 47.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 407 ÷ 415"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 407 by 415. 407 ÷ 415 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 98, 38, 27, 70, 86, 87, 9, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 447/9 = 49.6667.\n</reasoning>\nFinal Answer: 49.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 35 + 10 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×35=315 and 10×7=70, then add: 385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -622 + -203"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -622 and -203: -622 + -203 = -825.\n</reasoning>\nFinal Answer: -825"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 44 = 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 2x = 0. Divide by 2: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 + 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/2 + 12/12. Common denominator = 2. Result = 17/2.\n</reasoning>\nFinal Answer: 17/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 + 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/2 + 5/11. Common denominator = 11. Result = 82/11.\n</reasoning>\nFinal Answer: 82/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 27 + 39 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×27=1215 and 39×36=1404, then add: 2619.\n</reasoning>\nFinal Answer: 2619"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 37 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 37 × 63 = 2331.\n</reasoning>\nFinal Answer: 2331"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 12, 82, 50, 69, 43, 10, 99, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 10 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 / 1/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/20) ÷ (1/1) = (7/20) × (1/1) = 7/20.\n</reasoning>\nFinal Answer: 7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 66, 13, 100, 95, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 21, 66, 95, 98, 100]. Middle value(s) → median = 80.5.\n</reasoning>\nFinal Answer: 80.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:15 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/15, so B = A × (15/50) = 58 × 15/50 = 17.4.\n</reasoning>\nFinal Answer: 17.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 45) * (4 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+45)=56, (4-31)=-27, then 56×-27=-1512.\n</reasoning>\nFinal Answer: -1512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 66 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 66 × 73 = 4818.\n</reasoning>\nFinal Answer: 4818"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 40 km/h. How far does it travel in 11 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 31/60 = 11.5167 hours. Distance = speed × time = 40 × 11.5167 = 460.6667 km.\n</reasoning>\nFinal Answer: 460.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -633 mod -361"
},
{
"role": "assistant",
"content": "<reasoning>\n-633 mod -361: -633 = -361 × 1 + -272, so remainder = -272.\n</reasoning>\nFinal Answer: -272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 4, 27, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 4 + 27 + 28 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 8 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 8 = 136 worker-days. New time = 136 / 11 = 12.3636 days.\n</reasoning>\nFinal Answer: 12.3636"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 44 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 44 × 40 = 880.0.\n</reasoning>\nFinal Answer: 880.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 201 × -649"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 201 by -649: 201 × -649 = -130449.\n</reasoning>\nFinal Answer: -130449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 5, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (27-1)×5 = 8 + 130 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 9, 13, 15, 16, 19] and B = [6, 9, 11, 12, 14, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 7, 11, 12, 13, 14, 15, 18, 19].\n<... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 980 ÷ -407"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 980 by -407. 980 ÷ -407 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 18] and B = [4, 10, 16, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 8, 18].\n</reasoning>\nFinal Answer: [1, 8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 6, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (24-1)×6 = 29 + 138 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -22 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 13x = 117. Divide by 13: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -735 ÷ -999"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -735 by -999. -735 ÷ -999 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 6 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 13/60 = 6.2167 hours. Distance = speed × time = 180 × 6.2167 = 1119.0 km.\n</reasoning>\nFinal Answer: 1119.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 - 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/9 - 2/3. LCD = 9. Result = 14/9.\n</reasoning>\nFinal Answer: 14/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -887 + 626"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -887 and 626: -887 + 626 = -261.\n</reasoning>\nFinal Answer: -261"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 15, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (13-1)×15 = 25 + 180 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1408. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1408 × 12/100 = 168.96. Total = 1408 + 168.96 = 1576.96.\n</reasoning>\nFinal Answer: 1576.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [31, 50, 12, 72, 55, 37, 25, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {31: 1, 50: 1, 12: 1, 72: 1, 55: 1, 37: 1, 25: 1, 6: 1}. Most frequent: [31, 50, 12, 72, 55, 37, 25, 6].\n</reasoning>\nFinal Answer: [31, 50, 12... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 87 × 639"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 87 by 639: 87 × 639 = 55593.\n</reasoning>\nFinal Answer: 55593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 + 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/16 + 16/19. Common denominator = 304. Result = 275/304.\n</reasoning>\nFinal Answer: 275/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -89 mod -461"
},
{
"role": "assistant",
"content": "<reasoning>\n-89 mod -461: -89 = -461 × 0 + -89, so remainder = -89.\n</reasoning>\nFinal Answer: -89"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 53 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(53+11) = 2×64 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 * 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/3) × (10/13) = (190/39) = 190/39 after simplification.\n</reasoning>\nFinal Answer: 190/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 14 + 38 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×14=266 and 38×3=114, then add: 380.\n</reasoning>\nFinal Answer: 380"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "715 is what percentage of 904?"
},
{
"role": "assistant",
"content": "<reasoning>\n(715/904) × 100 = 79.0929%.\n</reasoning>\nFinal Answer: 79.0929%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 8 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 8 = 152 worker-days. New time = 152 / 11 = 13.8182 days.\n</reasoning>\nFinal Answer: 13.8182"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 2 + 1 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×2=40 and 1×29=29, then add: 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 4, 20, and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 4 + 20 + 23 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 46 = 178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 3x = 132. Divide by 3: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 16 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (16×7)/1 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 33 + 19 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×33=1551 and 19×13=247, then add: 1798.\n</reasoning>\nFinal Answer: 1798"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 5, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (16-1)×5 = 9 + 75 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 139 and 169."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(139,169) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -913 ÷ -341"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -913 by -341. -913 ÷ -341 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 8, 10, 11, 14, 19] and B = [1, 2, 6, 7, 8, 11, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 10, 14, 19].\n</reasoning>\nFinal Answer: [4, 10, 14, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 979 + 226"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 979 and 226: 979 + 226 = 1205.\n</reasoning>\nFinal Answer: 1205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:49 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/49, so B = A × (49/29) = 94 × 49/29 = 158.8276.\n</reasoning>\nFinal Answer: 158.8276"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 14, 12, 57, 64, 7, 14, 6, 37, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 6, 7, 12, 14, 14, 18, 37, 57, 64]. Middle value(s) → median = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:11 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/11, so B = A × (11/44) = 72 × 11/44 = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 28 = 1162.0.\n</reasoning>\nFinal Answer: 1162.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 8, 10, 14, 15, 16, 17] and B = [4, 8, 9, 11, 12, 13, 14, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17].\n</reasoning>\nFi... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 9 = -99"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 18x = -108. Divide by 18: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 707 - 912"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 912 from 707: 707 - 912 = -205.\n</reasoning>\nFinal Answer: -205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 98, 89, 92, 2, 10, 34, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 2 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 88, 3, 36, 72, 20, 94, 71, 59, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 3 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 5, 11] and B = [3, 5, 7, 8, 9, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 5].\n</reasoning>\nFinal Answer: [3, 5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 242 mod 850"
},
{
"role": "assistant",
"content": "<reasoning>\n242 mod 850: 242 = 850 × 0 + 242, so remainder = 242.\n</reasoning>\nFinal Answer: 242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -95 + -740"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -95 and -740: -95 + -740 = -835.\n</reasoning>\nFinal Answer: -835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 503 km apart. Their speeds are 59 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 59+74=133 km/h. Time = 503/133 = 3.782 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -298 × -991"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -298 by -991: -298 × -991 = 295318.\n</reasoning>\nFinal Answer: 295318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 4 = 14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 5x = 10. Divide by 5: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:49 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/49, so B = A × (49/38) = 65 × 49/38 = 83.8158.\n</reasoning>\nFinal Answer: 83.8158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 / 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/19) ÷ (14/4) = (19/19) × (4/14) = 2/7.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 72, 45, 5, 70, 33, 4, 11, 33, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/10 = 34.6.\n</reasoning>\nFinal Answer: 34.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -6 = 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 26x = 208. Divide by 26: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 760 - 521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 521 from 760: 760 - 521 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 44 = -190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 13x = -234. Divide by 13: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4589. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4589 × 12/100 = 550.68. Total = 4589 + 550.68 = 5139.68.\n</reasoning>\nFinal Answer: 5139.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 86 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(86+84) = 2×170 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | easy | [
"geometry",
"perimeter"
] |
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