messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 75% of 341?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 341 = (75/100) × 341 = 255.75.\n</reasoning>\nFinal Answer: 255.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 89 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(89,41) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 16) * (50 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+16)=35, (50-22)=28, then 35×28=980.\n</reasoning>\nFinal Answer: 980"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 + 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/10 + 13/16. Common denominator = 80. Result = 169/80.\n</reasoning>\nFinal Answer: 169/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 36 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 6x = 120. Divide by 6: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 87 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 87 × 60 = 2610.0.\n</reasoning>\nFinal Answer: 2610.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×41)/1 = 1312.\n</reasoning>\nFinal Answer: 1312"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -124 + -636"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -124 and -636: -124 + -636 = -760.\n</reasoning>\nFinal Answer: -760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 12% of 850?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 850 = (12/100) × 850 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 220."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 220 by smallest primes repeatedly: 220 = 2 × 2 × 5 × 11.\n</reasoning>\nFinal Answer: 2 × 2 × 5 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 1 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 40+1-31=10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 / 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/16) ÷ (10/13) = (15/16) × (13/10) = 39/32.\n</reasoning>\nFinal Answer: 39/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 + 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/4 + 3/9. Common denominator = 12. Result = 7/12.\n</reasoning>\nFinal Answer: 7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -189 - 220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 220 from -189: -189 - 220 = -409.\n</reasoning>\nFinal Answer: -409"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×8)/8 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 40, 35, 35, 79, 98, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 40: 1, 35: 2, 79: 1, 98: 1, 23: 1}. Most frequent: 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 29 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 10x = -30. Divide by 10: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 / 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/9) ÷ (16/15) = (13/9) × (15/16) = 65/48.\n</reasoning>\nFinal Answer: 65/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 352 mod -971"
},
{
"role": "assistant",
"content": "<reasoning>\n352 mod -971: 352 = -971 × -1 + -619, so remainder = -619.\n</reasoning>\nFinal Answer: -619"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 45) * (39 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+45)=71, (39-47)=-8, then 71×-8=-568.\n</reasoning>\nFinal Answer: -568"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 + 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/4 + 10/14. Common denominator = 7. Result = 19/7.\n</reasoning>\nFinal Answer: 19/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -743 ÷ 461"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -743 by 461. -743 ÷ 461 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 77 = 6622.\n</reasoning>\nFinal Answer: 6622"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 717 - 279"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 279 from 717: 717 - 279 = 438.\n</reasoning>\nFinal Answer: 438"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 99 = 8811.\n</reasoning>\nFinal Answer: 8811"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×27)/1 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 372 × -769"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 372 by -769: 372 × -769 = -286068.\n</reasoning>\nFinal Answer: -286068"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 89, 19, 39, 87, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 35, 39, 71, 87, 89]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹2743. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2743 × 28/100 = 768.04. Total = 2743 + 768.04 = 3511.04.\n</reasoning>\nFinal Answer: 3511.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (51)x + (216) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 51² - 4×3×216 = 9. √discriminant = 3. x = (-(51) ± 3) / (2×3). Solutions: x = -8 or x = -9.\n</reasoning>\nFinal Answer: x = -8 or x = -9"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 605 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 605 × (1 - 30/100) = 605 × 0.7 = 423.5.\n</reasoning>\nFinal Answer: 423.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:16 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/16, so B = A × (16/11) = 37 × 16/11 = 53.8182.\n</reasoning>\nFinal Answer: 53.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -539 ÷ 732"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -539 by 732. -539 ÷ 732 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 88 km/h. How far does it travel in 5 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 40/60 = 5.6667 hours. Distance = speed × time = 88 × 5.6667 = 498.6667 km.\n</reasoning>\nFinal Answer: 498.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -48 = -76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 2x = -28. Divide by 2: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-50)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -50² - 4×5×0 = 2500. √discriminant = 50. x = (-(-50) ± 50) / (2×5). Solutions: x = 0 or x = 10.\n</reasoning>\nFinal Answer: x = 0 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 80% of 831?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 831 = (80/100) × 831 = 664.8.\n</reasoning>\nFinal Answer: 664.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 282?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 282 = (17/100) × 282 = 47.94.\n</reasoning>\nFinal Answer: 47.94"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 12 * 47 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×47=564, then 8+564-3=569.\n</reasoning>\nFinal Answer: 569"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 24 = 76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 13x = 52. Divide by 13: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 89, 67, 73, 25, 79, 66, 57, 32, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 2, 67: 1, 73: 1, 25: 1, 79: 1, 66: 1, 57: 1, 32: 1, 65: 1}. Most frequent: 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 * 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (20/11) = (260/44) = 65/11 after simplification.\n</reasoning>\nFinal Answer: 65/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:24 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/24, so B = A × (24/23) = 67 × 24/23 = 69.913.\n</reasoning>\nFinal Answer: 69.913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -86 ÷ -935"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -86 by -935. -86 ÷ -935 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -17 = -929"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 19x = -912. Divide by 19: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 91 = 773.5.\n</reasoning>\nFinal Answer: 773.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [7, 11, 61, 14, 100, 6, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 7, 11, 14, 54, 61, 100]. Middle value(s) → median = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:15 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/15, so B = A × (15/45) = 39 × 15/45 = 13.0.\n</reasoning>\nFinal Answer: 13.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 11, 19] and B = [1, 2, 3, 5, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 7, 11, 15, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 7, 11, 15, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17285 at 13% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17285 × 13 × 2 / 100 = 4494.1.\n</reasoning>\nFinal Answer: 4494.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 2 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 52/60 = 2.8667 hours. Distance = speed × time = 167 × 2.8667 = 478.7333 km.\n</reasoning>\nFinal Answer: 478.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 4 = 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 1x = 1. Divide by 1: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 46 = 1886.\n</reasoning>\nFinal Answer: 1886"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 18, 48, 86, 97, 19, 81, 67, 58, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 579/10 = 57.9.\n</reasoning>\nFinal Answer: 57.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 18 = -366"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 16x = -384. Divide by 16: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -501 mod 739"
},
{
"role": "assistant",
"content": "<reasoning>\n-501 mod 739: -501 = 739 × -1 + 238, so remainder = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 26 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+26) × 25 = 337.5.\n</reasoning>\nFinal Answer: 337.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×26)/2 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -6 = -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 5x = -35. Divide by 5: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 4 = -927"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 19x = -931. Divide by 19: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41835 at 5% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41835 × 5 × 8 / 100 = 16734.0.\n</reasoning>\nFinal Answer: 16734.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -541 ÷ 721"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -541 by 721. -541 ÷ 721 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 44 = -51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 5x = -95. Divide by 5: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 193 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n193 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 29) * (4 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+29)=47, (4-29)=-25, then 47×-25=-1175.\n</reasoning>\nFinal Answer: -1175"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 27 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 25+729-17=737.\n</reasoning>\nFinal Answer: 737"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4059. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4059 × 12/100 = 487.08. Total = 4059 + 487.08 = 4546.08.\n</reasoning>\nFinal Answer: 4546.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43919 at 4% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43919 × 4 × 9 / 100 = 15810.84.\n</reasoning>\nFinal Answer: 15810.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12000 at 10% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12000 × 10 × 9 / 100 = 10800.0.\n</reasoning>\nFinal Answer: 10800.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 25 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+25) × 28 = 658.0.\n</reasoning>\nFinal Answer: 658.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 44) * (43 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+44)=63, (43-31)=12, then 63×12=756.\n</reasoning>\nFinal Answer: 756"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 94 = 7050.\n</reasoning>\nFinal Answer: 7050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 / 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/5) ÷ (14/8) = (18/5) × (8/14) = 72/35.\n</reasoning>\nFinal Answer: 72/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 541 + -687"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 541 and -687: 541 + -687 = -146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 42 * 19 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×19=798, then 27+798-40=785.\n</reasoning>\nFinal Answer: 785"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 34 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+34) × 16 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 20 * 4 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×4=80, then 19+80-18=81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1238. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1238 × 18/100 = 222.84. Total = 1238 + 222.84 = 1460.84.\n</reasoning>\nFinal Answer: 1460.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,5) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 39) * (38 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+39)=64, (38-13)=25, then 64×25=1600.\n</reasoning>\nFinal Answer: 1600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:20 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/20, so B = A × (20/33) = 59 × 20/33 = 35.7576.\n</reasoning>\nFinal Answer: 35.7576"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [6, 11, 12, 15, 16, 17] and B = [2, 3, 14, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 6, 11, 12, 14, 15, 16, 17].\n</reasoning>\nFinal Answer: [2, 3, 6, 11, 12, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 269 - 636"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 636 from 269: 269 - 636 = -367.\n</reasoning>\nFinal Answer: -367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 77, 6, 10, 71, 41, 89, 5, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 77: 1, 6: 1, 10: 1, 71: 1, 41: 1, 89: 1, 5: 1, 85: 1}. Most frequent: [81, 77, 6, 10, 71, 41, 89, 5, 85].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 48 = 354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 17x = 306. Divide by 17: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -47 = 72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 17x = 119. Divide by 17: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 8 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 9/17 = 0.5294.\n</reasoning>\nFinal Answer: 0.5294"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:22 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/22, so B = A × (22/44) = 90 × 22/44 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 58, 78, 88, 96, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 58: 1, 78: 1, 88: 1, 96: 1, 63: 1}. Most frequent: [37, 58, 78, 88, 96, 63].\n</reasoning>\nFinal Answer: [37, 58, 78, 88, 96, 63]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 36 = 27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 9x = -9. Divide by 9: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 23 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 1+529-29=501.\n</reasoning>\nFinal Answer: 501"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 62 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 62 + 49 = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 46 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 12x = -60. Divide by 12: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-16)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -16² - 4×2×0 = 256. √discriminant = 16. x = (-(-16) ± 16) / (2×2). Solutions: x = 0 or x = 8.\n</reasoning>\nFinal Answer: x = 0 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 15 * 6 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×6=90, then 25+90-2=113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-60)x + (216) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -60² - 4×4×216 = 144. √discriminant = 12. x = (-(-60) ± 12) / (2×4). Solutions: x = 9 or x = 6.\n</reasoning>\nFinal Answer: x = 9 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 4 + 30 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×4=32 and 30×3=90, then add: 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 28 = 644.0.\n</reasoning>\nFinal Answer: 644.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 469 × -444"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 469 by -444: 469 × -444 = -208236.\n</reasoning>\nFinal Answer: -208236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 19 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 19 = 342 worker-days. New time = 342 / 3 = 114.0 days.\n</reasoning>\nFinal Answer: 114.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
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