messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 21x + 49 = -917"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 21x = -966. Divide by 21: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 9 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 31+81-19=93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 14, 23, 32, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 9. Next term = 41 + 9 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 30 = -110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 10x = -140. Divide by 10: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 26, 28, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 26 + 28 + 34 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 16) * (32 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+16)=57, (32-32)=0, then 57×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 14] and B = [1, 3, 5, 6, 11, 12, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 14].\n</reasoning>\nFinal Answer: [2, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 77 = 3157.\n</reasoning>\nFinal Answer: 3157"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -3 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 5x = 35. Divide by 5: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 91 apples and buys 13 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 91 + 13 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -652 ÷ -711"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -652 by -711. -652 ÷ -711 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 63 + -638"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 63 and -638: 63 + -638 = -575.\n</reasoning>\nFinal Answer: -575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -13 = 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 8x = 264. Divide by 8: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:22 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/22, so B = A × (22/19) = 24 × 22/19 = 27.7895.\n</reasoning>\nFinal Answer: 27.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 39 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(39+47) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×37)/1 = 1739.\n</reasoning>\nFinal Answer: 1739"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [48, 64, 80, 96, 112]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 48 and common difference 16. Next term = 112 + 16 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 22) * (28 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+22)=59, (28-47)=-19, then 59×-19=-1121.\n</reasoning>\nFinal Answer: -1121"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 27 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 37+729-1=765.\n</reasoning>\nFinal Answer: 765"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 131 km/h. How far does it travel in 4 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 47/60 = 4.7833 hours. Distance = speed × time = 131 × 4.7833 = 626.6167 km.\n</reasoning>\nFinal Answer: 626.6167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 43, 47, 51, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 4. Next term = 55 + 4 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 41 = 4018.\n</reasoning>\nFinal Answer: 4018"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 38, 87, 92, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 21, 38, 87, 92]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -596 + -805"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -596 and -805: -596 + -805 = -1401.\n</reasoning>\nFinal Answer: -1401"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:48 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/48, so B = A × (48/10) = 7 × 48/10 = 33.6.\n</reasoning>\nFinal Answer: 33.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -29 × 753"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -29 by 753: -29 × 753 = -21837.\n</reasoning>\nFinal Answer: -21837"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 * 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/9) × (2/15) = (24/135) = 8/45 after simplification.\n</reasoning>\nFinal Answer: 8/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9995 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9995 × 5 × 4 / 100 = 1999.0.\n</reasoning>\nFinal Answer: 1999.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 10 + 40 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×10=60 and 40×4=160, then add: 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹694. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 694 × 28/100 = 194.32. Total = 694 + 194.32 = 888.32.\n</reasoning>\nFinal Answer: 888.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹2193. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2193 × 12/100 = 263.16. Total = 2193 + 263.16 = 2456.16.\n</reasoning>\nFinal Answer: 2456.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 12, 13, 14, 17, 18] and B = [2, 11, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 6, 11, 12, 13, 14, 15, 17, 18].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 64, 53, 68, 76, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 50 = 26.\n</reasoning>\nFinal Answer: 26"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 864 km apart. Their speeds are 64 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+67=131 km/h. Time = 864/131 = 6.5954 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -25 = -223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 11x = -198. Divide by 11: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 16 = -264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 10x = -280. Divide by 10: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 143 apples and buys 153 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 143 + 153 = 296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 26, 87, 11, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 26: 1, 87: 1, 11: 1, 32: 1}. Most frequent: [71, 26, 87, 11, 32].\n</reasoning>\nFinal Answer: [71, 26, 87, 11, 32]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 76 = 2128.\n</reasoning>\nFinal Answer: 2128"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 30 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 1+900-40=861.\n</reasoning>\nFinal Answer: 861"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -587 ÷ -823"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -587 by -823. -587 ÷ -823 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:38 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/38, so B = A × (38/35) = 65 × 38/35 = 70.5714.\n</reasoning>\nFinal Answer: 70.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 / 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/6) ÷ (19/13) = (5/6) × (13/19) = 65/114.\n</reasoning>\nFinal Answer: 65/114"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 88, 3, 8, 3, 14, 26, 72, 25, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 3, 8, 12, 14, 25, 25, 26, 72, 88]. Middle value(s) → median = 19.5.\n</reasoning>\nFinal Answer: 19.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -364 × -67"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -364 by -67: -364 × -67 = 24388.\n</reasoning>\nFinal Answer: 24388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 28, 63, 65, 98, 80, 63, 58, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 28: 1, 63: 2, 65: 1, 98: 1, 80: 1, 58: 1, 34: 1}. Most frequent: 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 26) * (34 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+26)=67, (34-24)=10, then 67×10=670.\n</reasoning>\nFinal Answer: 670"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×42)/6 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 + 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/15 + 1/18. Common denominator = 18. Result = 25/18.\n</reasoning>\nFinal Answer: 25/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 337."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 337 by smallest primes repeatedly: 337 = 337.\n</reasoning>\nFinal Answer: 337"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 51, 20, 46, 59, 11, 57, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 51: 1, 20: 1, 46: 1, 59: 1, 11: 1, 57: 1, 18: 1}. Most frequent: [67, 51, 20, 46, 59, 11, 57, 18].\n</reasoning>\nFinal Answer: [67, 51,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 8 = -91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 3x = -99. Divide by 3: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 8 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 39/60 = 8.6500 hours. Distance = speed × time = 85 × 8.6500 = 735.25 km.\n</reasoning>\nFinal Answer: 735.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:27 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/27, so B = A × (27/37) = 55 × 27/37 = 40.1351.\n</reasoning>\nFinal Answer: 40.1351"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 176 × 356"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 176 by 356: 176 × 356 = 62656.\n</reasoning>\nFinal Answer: 62656"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 5 = 1293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 28x = 1288. Divide by 28: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 42 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 1x = -40. Divide by 1: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3314. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3314 × 28/100 = 927.92. Total = 3314 + 927.92 = 4241.92.\n</reasoning>\nFinal Answer: 4241.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 11 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 11 = 121 worker-days. New time = 121 / 17 = 7.1176 days.\n</reasoning>\nFinal Answer: 7.1176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15459 at 5% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15459 × 5 × 1 / 100 = 772.95.\n</reasoning>\nFinal Answer: 772.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 48 = 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 2x = -22. Divide by 2: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 30 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 30 = 300 worker-days. New time = 300 / 5 = 60.0 days.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:14 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/14, so B = A × (14/49) = 98 × 14/49 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 70 = 6930.\n</reasoning>\nFinal Answer: 6930"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -409 × -140"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -409 by -140: -409 × -140 = 57260.\n</reasoning>\nFinal Answer: 57260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-16)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×4×0 = 256. √discriminant = 16. x = (-(-16) ± 16) / (2×4). Solutions: x = 0 or x = 4.\n</reasoning>\nFinal Answer: x = 0 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 109 km/h. How far does it travel in 6 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 30/60 = 6.5000 hours. Distance = speed × time = 109 × 6.5000 = 708.5 km.\n</reasoning>\nFinal Answer: 708.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 608 × -958"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 608 by -958: 608 × -958 = -582464.\n</reasoning>\nFinal Answer: -582464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 738 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 738 × (1 - 50/100) = 738 × 0.5 = 369.0.\n</reasoning>\nFinal Answer: 369.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 804?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 804 = (80/100) × 804 = 643.2.\n</reasoning>\nFinal Answer: 643.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/20 / 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/20) ÷ (4/11) = (4/20) × (11/4) = 11/20.\n</reasoning>\nFinal Answer: 11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -180 + 361"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -180 and 361: -180 + 361 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:47 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/47, so B = A × (47/11) = 43 × 47/11 = 183.7273.\n</reasoning>\nFinal Answer: 183.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [95, 32, 75, 64, 33, 56, 66, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 33, 56, 64, 66, 75, 95, 96]. Middle value(s) → median = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 - 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/13 - 12/7. LCD = 91. Result = -100/91.\n</reasoning>\nFinal Answer: -100/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-14)x + (-60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -14² - 4×2×-60 = 676. √discriminant = 26. x = (-(-14) ± 26) / (2×2). Solutions: x = 10 or x = -3.\n</reasoning>\nFinal Answer: x = 10 or x = -... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 48, 54, 60, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 6. Next term = 66 + 6 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -761 - -345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -345 from -761: -761 - -345 = -416.\n</reasoning>\nFinal Answer: -416"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 191 mod 928"
},
{
"role": "assistant",
"content": "<reasoning>\n191 mod 928: 191 = 928 × 0 + 191, so remainder = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 + 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/7 + 2/5. Common denominator = 35. Result = 44/35.\n</reasoning>\nFinal Answer: 44/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 33 = -891"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 21x = -924. Divide by 21: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -360 + 897"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -360 and 897: -360 + 897 = 537.\n</reasoning>\nFinal Answer: 537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 26 * 17 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×17=442, then 42+442-7=477.\n</reasoning>\nFinal Answer: 477"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 1, 35, 43, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 163/5 = 32.6.\n</reasoning>\nFinal Answer: 32.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 40% of 584?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 584 = (40/100) × 584 = 233.6.\n</reasoning>\nFinal Answer: 233.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33828 at 8% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33828 × 8 × 7 / 100 = 18943.68.\n</reasoning>\nFinal Answer: 18943.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 21 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 34+441-34=441.\n</reasoning>\nFinal Answer: 441"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 642 ÷ -247"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 642 by -247. 642 ÷ -247 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 482 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 482 × (1 - 5/100) = 482 × 0.95 = 457.9.\n</reasoning>\nFinal Answer: 457.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 13, 46, 92, 31, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 20, 31, 46, 89, 92]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 14 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 14 = 70 worker-days. New time = 70 / 17 = 4.1176 days.\n</reasoning>\nFinal Answer: 4.1176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 / 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/19) ÷ (15/3) = (16/19) × (3/15) = 16/95.\n</reasoning>\nFinal Answer: 16/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -162 mod 823"
},
{
"role": "assistant",
"content": "<reasoning>\n-162 mod 823: -162 = 823 × -1 + 661, so remainder = 661.\n</reasoning>\nFinal Answer: 661"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 55, 54, 54, 31, 7, 87, 63, 92, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 31, 54, 54, 55, 57, 63, 67, 87, 92]. Middle value(s) → median = 56.0.\n</reasoning>\nFinal Answer: 56.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:24 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/24, so B = A × (24/44) = 88 × 24/44 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 29 = -376"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 9x = -405. Divide by 9: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 15, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 15 + 27 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 38 = 1235.0.\n</reasoning>\nFinal Answer: 1235.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 70, 85, 66, 6, 30, 94, 10, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 6 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -28 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 8x = -96. Divide by 8: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
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