messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 461 - -619"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -619 from 461: 461 - -619 = 1080.\n</reasoning>\nFinal Answer: 1080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 68, 39, 95, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -34 + -678"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -34 and -678: -34 + -678 = -712.\n</reasoning>\nFinal Answer: -712"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 27) * (26 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+27)=64, (26-26)=0, then 64×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 9, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (29-1)×9 = 24 + 252 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 14, and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 14 + 19 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "List all positive factors of 64."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 64: factors are [1, 2, 4, 8, 16, 32, 64].\n</reasoning>\nFinal Answer: [1, 2, 4, 8, 16, 32, 64]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Increase 879 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 879 × (1 + 65/100) = 879 × 1.65 = 1450.35.\n</reasoning>\nFinal Answer: 1450.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23389 at 8% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23389 × 8 × 9 / 100 = 16840.08.\n</reasoning>\nFinal Answer: 16840.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -40 = -523"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 23x = -483. Divide by 23: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 17 = -199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 18x = -216. Divide by 18: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 789 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 789 × (1 - 90/100) = 789 × 0.09999999999999998 = 78.9.\n</reasoning>\nFinal Answer: 78.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 9 = -371"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 10x = -380. Divide by 10: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 64 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 64 + 156 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -397 mod 197"
},
{
"role": "assistant",
"content": "<reasoning>\n-397 mod 197: -397 = 197 × -3 + 194, so remainder = 194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -756 ÷ -821"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -756 by -821. -756 ÷ -821 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 236 - -451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -451 from 236: 236 - -451 = 687.\n</reasoning>\nFinal Answer: 687"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 21, 41, 21, 86, 93, 3, 70, 31, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 21, 21, 21, 31, 41, 70, 83, 86, 93]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 + 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/17 + 9/8. Common denominator = 136. Result = 185/136.\n</reasoning>\nFinal Answer: 185/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 18, 31, 47, 3, 6, 28, 96, 26, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 18: 1, 31: 1, 47: 1, 3: 1, 6: 1, 28: 1, 96: 1, 26: 1, 67: 1}. Most frequent: [21, 18, 31, 47, 3, 6, 28, 96, 26, 67].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [77, 52, 7, 74, 54, 35, 69, 41, 80, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 12, 35, 41, 52, 54, 69, 74, 77, 80]. Middle value(s) → median = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 8, 10, 15, 18] and B = [3, 5, 7, 8, 9, 10, 12, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 18].\n</reasoning>\nFinal Answer: [2, 4, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [29, 50, 71, 49, 3, 55, 71, 37, 99, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 3 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 16, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (11-1)×16 = 44 + 160 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 40% of 389?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 389 = (40/100) × 389 = 155.6.\n</reasoning>\nFinal Answer: 155.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 439 - 625"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 625 from 439: 439 - 625 = -186.\n</reasoning>\nFinal Answer: -186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹293. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 293 × 18/100 = 52.74. Total = 293 + 52.74 = 345.74.\n</reasoning>\nFinal Answer: 345.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -34 = 21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 11x = 55. Divide by 11: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "151 is what percentage of 263?"
},
{
"role": "assistant",
"content": "<reasoning>\n(151/263) × 100 = 57.4144%.\n</reasoning>\nFinal Answer: 57.4144%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 38 = -446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 11x = -484. Divide by 11: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "25 is what percentage of 555?"
},
{
"role": "assistant",
"content": "<reasoning>\n(25/555) × 100 = 4.5045%.\n</reasoning>\nFinal Answer: 4.5045%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 729 × -913"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 729 by -913: 729 × -913 = -665577.\n</reasoning>\nFinal Answer: -665577"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1031. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1031 × 28/100 = 288.68. Total = 1031 + 288.68 = 1319.68.\n</reasoning>\nFinal Answer: 1319.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -37 = -209"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 4x = -172. Divide by 4: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 23 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 23 = 253 worker-days. New time = 253 / 10 = 25.3 days.\n</reasoning>\nFinal Answer: 25.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 32 + 32 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×32=1280 and 32×8=256, then add: 1536.\n</reasoning>\nFinal Answer: 1536"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-13)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -13² - 4×1×40 = 9. √discriminant = 3. x = (-(-13) ± 3) / (2×1). Solutions: x = 5 or x = 8.\n</reasoning>\nFinal Answer: x = 5 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹3754 at 16% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 3754 × 16 × 3 / 100 = 1801.92.\n</reasoning>\nFinal Answer: 1801.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 + 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/17 + 20/9. Common denominator = 153. Result = 457/153.\n</reasoning>\nFinal Answer: 457/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 139 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 139 × (1 + 40/100) = 139 × 1.4 = 194.6.\n</reasoning>\nFinal Answer: 194.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 99 = 1287.0.\n</reasoning>\nFinal Answer: 1287.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 49 = 3430.\n</reasoning>\nFinal Answer: 3430"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 / 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/7) ÷ (2/3) = (9/7) × (3/2) = 27/14.\n</reasoning>\nFinal Answer: 27/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "152 is what percentage of 865?"
},
{
"role": "assistant",
"content": "<reasoning>\n(152/865) × 100 = 17.5723%.\n</reasoning>\nFinal Answer: 17.5723%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -976 ÷ 901"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -976 by 901. -976 ÷ 901 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 10] and B = [2, 3, 4, 5, 7, 11, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 10].\n</reasoning>\nFinal Answer: [1, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 8, 16, 18] and B = [5, 8, 10, 11, 12, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 7, 8, 10, 11, 12, 16, 18].\n</reasoning>\nFinal Answer: [2, 5, 7, 8, 10, 11, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 7) * (1 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+7)=46, (1-45)=-44, then 46×-44=-2024.\n</reasoning>\nFinal Answer: -2024"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 15, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (35-1)×15 = 10 + 510 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -302 ÷ 967"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -302 by 967. -302 ÷ 967 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -869 mod -451"
},
{
"role": "assistant",
"content": "<reasoning>\n-869 mod -451: -869 = -451 × 1 + -418, so remainder = -418.\n</reasoning>\nFinal Answer: -418"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -17 = -102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 5x = -85. Divide by 5: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 58 = 377.0.\n</reasoning>\nFinal Answer: 377.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -254 - 379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 379 from -254: -254 - 379 = -633.\n</reasoning>\nFinal Answer: -633"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "500 is what percentage of 648?"
},
{
"role": "assistant",
"content": "<reasoning>\n(500/648) × 100 = 77.1605%.\n</reasoning>\nFinal Answer: 77.1605%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 50, 48, 87, 79, 77, 51, 53, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 50: 1, 48: 1, 87: 1, 79: 1, 77: 1, 51: 1, 53: 1, 85: 1}. Most frequent: [97, 50, 48, 87, 79, 77, 51, 53, 85].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 41 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 4+1681-18=1667.\n</reasoning>\nFinal Answer: 1667"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 87, 50, 94, 100, 49, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [49, 50, 80, 87, 88, 94, 100]. Middle value(s) → median = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 + 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/17 + 20/15. Common denominator = 51. Result = 77/51.\n</reasoning>\nFinal Answer: 77/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 4, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (24-1)×4 = 4 + 92 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 13) * (48 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+13)=29, (48-33)=15, then 29×15=435.\n</reasoning>\nFinal Answer: 435"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 372 × 307"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 372 by 307: 372 × 307 = 114204.\n</reasoning>\nFinal Answer: 114204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 10, 12, 14, 18] and B = [2, 6, 7, 9, 10, 11, 16, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 7, 10].\n</reasoning>\nFinal Answer: [2, 7, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 35 * 19 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×19=665, then 41+665-12=694.\n</reasoning>\nFinal Answer: 694"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/9 * 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/9) × (14/1) = (14/9) = 14/9 after simplification.\n</reasoning>\nFinal Answer: 14/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 31 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 44+961-3=1002.\n</reasoning>\nFinal Answer: 1002"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 513 × -595"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 513 by -595: 513 × -595 = -305235.\n</reasoning>\nFinal Answer: -305235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+29) = 2×61 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -378 - -309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -309 from -378: -378 - -309 = -69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 56 + -438"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 56 and -438: 56 + -438 = -382.\n</reasoning>\nFinal Answer: -382"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 - 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/20 - 14/19. LCD = 76. Result = -37/76.\n</reasoning>\nFinal Answer: -37/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 23 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 12+529-29=512.\n</reasoning>\nFinal Answer: 512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 8 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 8 = 48 worker-days. New time = 48 / 12 = 4.0 days.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -974 ÷ -731"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -974 by -731. -974 ÷ -731 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 547 × -835"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 547 by -835: 547 × -835 = -456745.\n</reasoning>\nFinal Answer: -456745"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -4 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 12x = 36. Divide by 12: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -18 = -598"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 29x = -580. Divide by 29: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -7 = -293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 11x = -286. Divide by 11: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -28 = 892"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 23x = 920. Divide by 23: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -33 = -61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 28x = -28. Divide by 28: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 728 ÷ -202"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 728 by -202. 728 ÷ -202 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -235 × -641"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -235 by -641: -235 × -641 = 150635.\n</reasoning>\nFinal Answer: 150635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:48 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/48, so B = A × (48/45) = 75 × 48/45 = 80.0.\n</reasoning>\nFinal Answer: 80.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2096. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2096 × 28/100 = 586.88. Total = 2096 + 586.88 = 2682.88.\n</reasoning>\nFinal Answer: 2682.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 10 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 24+100-34=90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 96 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 96 = 137.\n</reasoning>\nFinal Answer: 137"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 34 + 3 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×34=1190 and 3×10=30, then add: 1220.\n</reasoning>\nFinal Answer: 1220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 62, 64, 95, 11, 2, 75, 9, 12, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 2 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -5 = -221"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 18x = -216. Divide by 18: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 32) * (4 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+32)=61, (4-23)=-19, then 61×-19=-1159.\n</reasoning>\nFinal Answer: -1159"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -305 + -45"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -305 and -45: -305 + -45 = -350.\n</reasoning>\nFinal Answer: -350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 7 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+7) × 13 = 253.5.\n</reasoning>\nFinal Answer: 253.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 23) * (7 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+23)=35, (7-27)=-20, then 35×-20=-700.\n</reasoning>\nFinal Answer: -700"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 5, 14, 66, 86, 50, 77, 54, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 14, 50, 54, 66, 77, 86, 90, 93]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹3036. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3036 × 18/100 = 546.48. Total = 3036 + 546.48 = 3582.48.\n</reasoning>\nFinal Answer: 3582.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 94 = 9400.\n</reasoning>\nFinal Answer: 9400"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 44, 12, 2, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 226/5 = 45.2.\n</reasoning>\nFinal Answer: 45.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (35)x + (-150) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 35² - 4×5×-150 = 4225. √discriminant = 65. x = (-(35) ± 65) / (2×5). Solutions: x = 3 or x = -10.\n</reasoning>\nFinal Answer: x = 3 or x = -1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 27 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 27 × 77 = 2079.\n</reasoning>\nFinal Answer: 2079"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 31, 62, 51, 22, 48, 25, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 31: 1, 62: 1, 51: 1, 22: 1, 48: 1, 25: 1, 58: 1}. Most frequent: [76, 31, 62, 51, 22, 48, 25, 58].\n</reasoning>\nFinal Answer: [76, 31,... | easy | [
"statistics",
"mode"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.