messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 23 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+23) × 29 = 986.0.\n</reasoning>\nFinal Answer: 986.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 60, 92, 60, 50, 56, 61, 18, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 50, 51, 56, 56, 60, 60, 61, 92]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -17 = 217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 13x = 234. Divide by 13: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 20, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 20 + 28 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 117 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 117 × (1 - 5/100) = 117 × 0.95 = 111.15.\n</reasoning>\nFinal Answer: 111.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -580 × -233"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -580 by -233: -580 × -233 = 135140.\n</reasoning>\nFinal Answer: 135140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 24 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 3+576-46=533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 76 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(76+90) = 2×166 = 332.\n</reasoning>\nFinal Answer: 332"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹3073. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3073 × 5/100 = 153.65. Total = 3073 + 153.65 = 3226.65.\n</reasoning>\nFinal Answer: 3226.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [52, 57, 18, 54, 1, 46, 88, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 18, 46, 52, 52, 54, 57, 88]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 + 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/19 + 9/11. Common denominator = 209. Result = 248/209.\n</reasoning>\nFinal Answer: 248/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 6 and 57."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(6,57) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -878 mod -541"
},
{
"role": "assistant",
"content": "<reasoning>\n-878 mod -541: -878 = -541 × 1 + -337, so remainder = -337.\n</reasoning>\nFinal Answer: -337"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 70 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 70 + 159 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 9 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 11/60 = 9.1833 hours. Distance = speed × time = 85 × 9.1833 = 780.5833 km.\n</reasoning>\nFinal Answer: 780.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 864 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 864 × (1 + 90/100) = 864 × 1.9 = 1641.6.\n</reasoning>\nFinal Answer: 1641.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 20 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 41+400-46=395.\n</reasoning>\nFinal Answer: 395"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 30 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 30 = 240 worker-days. New time = 240 / 14 = 17.1429 days.\n</reasoning>\nFinal Answer: 17.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -441 mod 34"
},
{
"role": "assistant",
"content": "<reasoning>\n-441 mod 34: -441 = 34 × -13 + 1, so remainder = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 44 * 16 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×16=704, then 13+704-39=678.\n</reasoning>\nFinal Answer: 678"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -15 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 6x = -30. Divide by 6: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 5 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 5 = 25 worker-days. New time = 25 / 7 = 3.5714 days.\n</reasoning>\nFinal Answer: 3.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 263 - 990"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 990 from 263: 263 - 990 = -727.\n</reasoning>\nFinal Answer: -727"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 50 × -591"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 50 by -591: 50 × -591 = -29550.\n</reasoning>\nFinal Answer: -29550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 40 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 24x = -384. Divide by 24: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 22, 25, 28, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 3. Next term = 31 + 3 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 212 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 212 × (1 + 65/100) = 212 × 1.65 = 349.8.\n</reasoning>\nFinal Answer: 349.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "345 is what percentage of 501?"
},
{
"role": "assistant",
"content": "<reasoning>\n(345/501) × 100 = 68.8623%.\n</reasoning>\nFinal Answer: 68.8623%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -860 × 833"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -860 by 833: -860 × 833 = -716380.\n</reasoning>\nFinal Answer: -716380"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 85 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 296 - 851"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 851 from 296: 296 - 851 = -555.\n</reasoning>\nFinal Answer: -555"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 152 and 116."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(152,116) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "List all positive factors of 11."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 11: factors are [1, 11].\n</reasoning>\nFinal Answer: [1, 11]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Ravi has 127 apples and buys 19 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 127 + 19 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 49, 87, 47, 62, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 49: 1, 87: 1, 47: 1, 62: 1, 19: 1}. Most frequent: [46, 49, 87, 47, 62, 19].\n</reasoning>\nFinal Answer: [46, 49, 87, 47, 62, 19]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -6 = -492"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 27x = -486. Divide by 27: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 41) * (44 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+41)=47, (44-27)=17, then 47×17=799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -452 - -163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -163 from -452: -452 - -163 = -289.\n</reasoning>\nFinal Answer: -289"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 830 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 830 × (1 - 12/100) = 830 × 0.88 = 730.4.\n</reasoning>\nFinal Answer: 730.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 94 km/h. How far does it travel in 11 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 7/60 = 11.1167 hours. Distance = speed × time = 94 × 11.1167 = 1044.9667 km.\n</reasoning>\nFinal Answer: 1044.9667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 21 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 21 × 32 = 672.\n</reasoning>\nFinal Answer: 672"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 77 apples and buys 37 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 77 + 37 = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 230 - 543"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 543 from 230: 230 - 543 = -313.\n</reasoning>\nFinal Answer: -313"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 655 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 655 × (1 - 100/100) = 655 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [98, 8, 93, 43, 11, 33, 76, 55, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 11, 33, 43, 55, 59, 76, 93, 98]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -99 - -239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -239 from -99: -99 - -239 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 32) * (29 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+32)=63, (29-8)=21, then 63×21=1323.\n</reasoning>\nFinal Answer: 1323"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -64 × 368"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -64 by 368: -64 × 368 = -23552.\n</reasoning>\nFinal Answer: -23552"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹530. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 530 × 12/100 = 63.6. Total = 530 + 63.6 = 593.6.\n</reasoning>\nFinal Answer: 593.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -20 = 480"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 20x = 500. Divide by 20: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 * 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/15) × (12/6) = (84/90) = 14/15 after simplification.\n</reasoning>\nFinal Answer: 14/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×49)/1 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -39 = -1047"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 28x = -1008. Divide by 28: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:18 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/18, so B = A × (18/14) = 54 × 18/14 = 69.4286.\n</reasoning>\nFinal Answer: 69.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:25 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/25, so B = A × (25/6) = 92 × 25/6 = 383.3333.\n</reasoning>\nFinal Answer: 383.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 1 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 26/60 = 1.4333 hours. Distance = speed × time = 130 × 1.4333 = 186.3333 km.\n</reasoning>\nFinal Answer: 186.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 117 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 117 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 159?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 159 = (45/100) × 159 = 71.55.\n</reasoning>\nFinal Answer: 71.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 627 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 627 × (1 - 60/100) = 627 × 0.4 = 250.8.\n</reasoning>\nFinal Answer: 250.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -462 × -360"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -462 by -360: -462 × -360 = 166320.\n</reasoning>\nFinal Answer: 166320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 175 km/h. How far does it travel in 7 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 25/60 = 7.4167 hours. Distance = speed × time = 175 × 7.4167 = 1297.9167 km.\n</reasoning>\nFinal Answer: 1297.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 91, 41, 75, 39, 60, 31, 37, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 91: 1, 41: 1, 75: 1, 39: 1, 60: 1, 31: 1, 37: 1, 92: 1}. Most frequent: [33, 91, 41, 75, 39, 60, 31, 37, 92].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:23 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/23, so B = A × (23/33) = 29 × 23/33 = 20.2121.\n</reasoning>\nFinal Answer: 20.2121"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 49 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(49+11) = 2×60 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 30 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(30+16) = 2×46 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 47 + 16 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×47=47 and 16×10=160, then add: 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 2 + 7 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×2=94 and 7×23=161, then add: 255.\n</reasoning>\nFinal Answer: 255"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -35 = 175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 7x = 210. Divide by 7: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -38 = 761"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 17x = 799. Divide by 17: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 2 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 8/60 = 2.1333 hours. Distance = speed × time = 73 × 2.1333 = 155.7333 km.\n</reasoning>\nFinal Answer: 155.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 94 apples and buys 181 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 94 + 181 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 19 * 34 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×34=646, then 43+646-39=650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 637 + -930"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 637 and -930: 637 + -930 = -293.\n</reasoning>\nFinal Answer: -293"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 39 = -201"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 15x = -240. Divide by 15: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "430 is what percentage of 794?"
},
{
"role": "assistant",
"content": "<reasoning>\n(430/794) × 100 = 54.1562%.\n</reasoning>\nFinal Answer: 54.1562%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -94 × 680"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -94 by 680: -94 × 680 = -63920.\n</reasoning>\nFinal Answer: -63920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 17 = 1137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 28x = 1120. Divide by 28: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -50 + -830"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -50 and -830: -50 + -830 = -880.\n</reasoning>\nFinal Answer: -880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "37 is what percentage of 393?"
},
{
"role": "assistant",
"content": "<reasoning>\n(37/393) × 100 = 9.4148%.\n</reasoning>\nFinal Answer: 9.4148%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 70, 39, 74, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 34 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 17, 1, 41, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 1 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 12 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 12 = 168 worker-days. New time = 168 / 8 = 21.0 days.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 46 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 46 × 43 = 1978.\n</reasoning>\nFinal Answer: 1978"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 192 apples and buys 117 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 192 + 117 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:16 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/16, so B = A × (16/2) = 93 × 16/2 = 744.0.\n</reasoning>\nFinal Answer: 744.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 16 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 16 = 64 worker-days. New time = 64 / 6 = 10.6667 days.\n</reasoning>\nFinal Answer: 10.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 48 + 18 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×48=288 and 18×48=864, then add: 1152.\n</reasoning>\nFinal Answer: 1152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -43 = -1339"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 27x = -1296. Divide by 27: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 59 = 5074.\n</reasoning>\nFinal Answer: 5074"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 50% of 348?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 348 = (50/100) × 348 = 174.0.\n</reasoning>\nFinal Answer: 174.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 19 = 123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 26x = 104. Divide by 26: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2656. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2656 × 12/100 = 318.72. Total = 2656 + 318.72 = 2974.72.\n</reasoning>\nFinal Answer: 2974.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -9 = -449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 10x = -440. Divide by 10: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 29) * (43 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+29)=71, (43-31)=12, then 71×12=852.\n</reasoning>\nFinal Answer: 852"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 8/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 8/3. Common denominator = 12. Result = 13/4.\n</reasoning>\nFinal Answer: 13/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/18 - 20/7. LCD = 126. Result = -353/126.\n</reasoning>\nFinal Answer: -353/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 28 * 23 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×23=644, then 18+644-30=632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 99 = 4059.\n</reasoning>\nFinal Answer: 4059"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4608. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4608 × 5/100 = 230.4. Total = 4608 + 230.4 = 4838.4.\n</reasoning>\nFinal Answer: 4838.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 / 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/2) ÷ (2/19) = (10/2) × (19/2) = 95/2.\n</reasoning>\nFinal Answer: 95/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
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