messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 50:43 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/43, so B = A × (43/50) = 35 × 43/50 = 30.1.\n</reasoning>\nFinal Answer: 30.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -941 ÷ -517"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -941 by -517. -941 ÷ -517 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 47, 72, 17, 76, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 17, 47, 72, 76, 100]. Middle value(s) → median = 59.5.\n</reasoning>\nFinal Answer: 59.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -580 × 408"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -580 by 408: -580 × 408 = -236640.\n</reasoning>\nFinal Answer: -236640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 8, 69, 35, 81, 96, 36, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 343/8 = 42.875.\n</reasoning>\nFinal Answer: 42.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 16 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 10+256-29=237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×3)/1 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:31 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/31, so B = A × (31/27) = 31 × 31/27 = 35.5926.\n</reasoning>\nFinal Answer: 35.5926"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 3 * 36 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×36=108, then 44+108-17=135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 30 = 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 52, 94, 1, 73, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 1 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 - 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/19 - 15/11. LCD = 209. Result = -98/209.\n</reasoning>\nFinal Answer: -98/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [52, 98, 23, 11, 48, 40, 11, 9, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 11, 23, 40, 48, 52, 77, 98]. Middle value(s) → median = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 - 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/1 - 9/14. LCD = 14. Result = 201/14.\n</reasoning>\nFinal Answer: 201/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 137 apples and buys 149 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 137 + 149 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 5, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (49-1)×5 = 5 + 240 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+23) = 2×50 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 12 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 12 = 120 worker-days. New time = 120 / 18 = 6.6667 days.\n</reasoning>\nFinal Answer: 6.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 176 and 71."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(176,71) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (0)x + (-16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×1×-16 = 64. √discriminant = 8. x = (-(0) ± 8) / (2×1). Solutions: x = -4 or x = 4.\n</reasoning>\nFinal Answer: x = -4 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 47 = 2162.0.\n</reasoning>\nFinal Answer: 2162.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 40 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 16x = -128. Divide by 16: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 25, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 25 + 36 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 - 13/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/13 - 13/18. LCD = 234. Result = 29/234.\n</reasoning>\nFinal Answer: 29/234"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 * 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/4) × (18/4) = (306/16) = 153/8 after simplification.\n</reasoning>\nFinal Answer: 153/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 36 * 50 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×50=1800, then 30+1800-15=1815.\n</reasoning>\nFinal Answer: 1815"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 31) * (17 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+31)=47, (17-29)=-12, then 47×-12=-564.\n</reasoning>\nFinal Answer: -564"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -41 = -466"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 17x = -425. Divide by 17: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 + 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/13 + 8/8. Common denominator = 13. Result = 15/13.\n</reasoning>\nFinal Answer: 15/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 896 ÷ 44"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 896 by 44. 896 ÷ 44 = 20 (integer division).\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:26 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/26, so B = A × (26/4) = 44 × 26/4 = 286.0.\n</reasoning>\nFinal Answer: 286.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 9, 12, 15] and B = [1, 2, 5, 8, 12, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 9, 15].\n</reasoning>\nFinal Answer: [6, 9, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 2, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (31-1)×2 = 5 + 60 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -7 = -398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 23x = -391. Divide by 23: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 35% of 438?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 438 = (35/100) × 438 = 153.3.\n</reasoning>\nFinal Answer: 153.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -135 - 522"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 522 from -135: -135 - 522 = -657.\n</reasoning>\nFinal Answer: -657"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 18, 11, 16, 8, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 141/6 = 23.5.\n</reasoning>\nFinal Answer: 23.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Is 102 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n102 = 2 × 51, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: 395 + -231"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 395 and -231: 395 + -231 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 422 - 279"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 279 from 422: 422 - 279 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 20 = 1250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 30x = 1230. Divide by 30: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 76, 100, 97, 51, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 39, 51, 76, 97, 100]. Middle value(s) → median = 63.5.\n</reasoning>\nFinal Answer: 63.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 37 * 18 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×18=666, then 40+666-28=678.\n</reasoning>\nFinal Answer: 678"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 440 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 440 × (1 - 20/100) = 440 × 0.8 = 352.0.\n</reasoning>\nFinal Answer: 352.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -749 mod -994"
},
{
"role": "assistant",
"content": "<reasoning>\n-749 mod -994: -749 = -994 × 0 + -749, so remainder = -749.\n</reasoning>\nFinal Answer: -749"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 816 - -542"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -542 from 816: 816 - -542 = 1358.\n</reasoning>\nFinal Answer: 1358"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 531 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 531 × (1 + 20/100) = 531 × 1.2 = 637.2.\n</reasoning>\nFinal Answer: 637.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 7, 11] and B = [4, 10, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 7, 10, 11, 14].\n</reasoning>\nFinal Answer: [1, 2, 4, 7, 10, 11, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (28)x + (48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 28² - 4×4×48 = 16. √discriminant = 4. x = (-(28) ± 4) / (2×4). Solutions: x = -3 or x = -4.\n</reasoning>\nFinal Answer: x = -3 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [15, 30, 50, 15, 80, 48, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 263/7 = 37.5714.\n</reasoning>\nFinal Answer: 37.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 846 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 846 × (1 + 45/100) = 846 × 1.45 = 1226.7.\n</reasoning>\nFinal Answer: 1226.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 14] and B = [11, 12, 13, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25255 at 12% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25255 × 12 × 4 / 100 = 12122.4.\n</reasoning>\nFinal Answer: 12122.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 + 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/9 + 2/3. Common denominator = 3. Result = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 241 ÷ 380"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 241 by 380. 241 ÷ 380 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 16) * (22 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+16)=45, (22-20)=2, then 45×2=90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 17] and B = [1, 4, 6, 8, 14, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 8].\n</reasoning>\nFinal Answer: [4, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 + 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/7 + 9/20. Common denominator = 140. Result = 443/140.\n</reasoning>\nFinal Answer: 443/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 49, 24, 67, 86, 49, 3, 60, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 24, 47, 49, 49, 60, 67, 86, 98]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -700 + -944"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -700 and -944: -700 + -944 = -1644.\n</reasoning>\nFinal Answer: -1644"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 141 apples and buys 18 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 141 + 18 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 * 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/10) × (10/14) = (170/140) = 17/14 after simplification.\n</reasoning>\nFinal Answer: 17/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 696 ÷ 605"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 696 by 605. 696 ÷ 605 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 70% of 317?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 317 = (70/100) × 317 = 221.9.\n</reasoning>\nFinal Answer: 221.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -41 = -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 2x = 18. Divide by 2: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-24)x + (45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×3×45 = 36. √discriminant = 6. x = (-(-24) ± 6) / (2×3). Solutions: x = 5 or x = 3.\n</reasoning>\nFinal Answer: x = 5 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 / 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/7) ÷ (5/12) = (14/7) × (12/5) = 24/5.\n</reasoning>\nFinal Answer: 24/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -49 = -412"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 11x = -363. Divide by 11: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 35 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+35) × 33 = 1270.5.\n</reasoning>\nFinal Answer: 1270.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×26)/1 = 1118.\n</reasoning>\nFinal Answer: 1118"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 38, 35, 30, 42, 25, 66, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 18, 25, 30, 35, 38, 42, 66]. Middle value(s) → median = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27171 at 17% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27171 × 17 × 1 / 100 = 4619.07.\n</reasoning>\nFinal Answer: 4619.07"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 30 = 327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 11x = 297. Divide by 11: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×17)/1 = 833.\n</reasoning>\nFinal Answer: 833"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 2, 57, 47, 88, 1, 70, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 373/8 = 46.625.\n</reasoning>\nFinal Answer: 46.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 914 - -551"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -551 from 914: 914 - -551 = 1465.\n</reasoning>\nFinal Answer: 1465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -12 = 113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 25x = 125. Divide by 25: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -9 = 1139"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 28x = 1148. Divide by 28: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/5 - 11/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/5 - 11/7. LCD = 35. Result = -48/35.\n</reasoning>\nFinal Answer: -48/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 92 and 127."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(92,127) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 22, 56, 31, 16, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 22, 31, 56, 69, 98]. Middle value(s) → median = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -668 + -541"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -668 and -541: -668 + -541 = -1209.\n</reasoning>\nFinal Answer: -1209"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:12 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/12, so B = A × (12/29) = 23 × 12/29 = 9.5172.\n</reasoning>\nFinal Answer: 9.5172"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 35 = 840.0.\n</reasoning>\nFinal Answer: 840.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 24 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 24 = 312 worker-days. New time = 312 / 6 = 52.0 days.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 / 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/16) ÷ (11/1) = (9/16) × (1/11) = 9/176.\n</reasoning>\nFinal Answer: 9/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:47 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/47, so B = A × (47/42) = 42 × 47/42 = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 * 10/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/13) × (10/7) = (60/91) = 60/91 after simplification.\n</reasoning>\nFinal Answer: 60/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:45 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/45, so B = A × (45/34) = 98 × 45/34 = 129.7059.\n</reasoning>\nFinal Answer: 129.7059"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 52, 47, 4, 23, 22, 54, 45, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 327/9 = 36.3333.\n</reasoning>\nFinal Answer: 36.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-28)x + (96) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×2×96 = 16. √discriminant = 4. x = (-(-28) ± 4) / (2×2). Solutions: x = 8 or x = 6.\n</reasoning>\nFinal Answer: x = 8 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 * 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/6) × (1/16) = (12/96) = 1/8 after simplification.\n</reasoning>\nFinal Answer: 1/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 - 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/20 - 3/14. LCD = 28. Result = 1/28.\n</reasoning>\nFinal Answer: 1/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 114 × -41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 114 by -41: 114 × -41 = -4674.\n</reasoning>\nFinal Answer: -4674"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "270 is what percentage of 488?"
},
{
"role": "assistant",
"content": "<reasoning>\n(270/488) × 100 = 55.3279%.\n</reasoning>\nFinal Answer: 55.3279%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 39 * 27 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×27=1053, then 34+1053-42=1045.\n</reasoning>\nFinal Answer: 1045"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 3 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 4x = 0. Divide by 4: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 71 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 71 × 74 = 5254.\n</reasoning>\nFinal Answer: 5254"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [10, 12, 13, 16, 18, 19] and B = [6, 7, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 7, 10, 12, 13, 16, 19].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 + 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/2 + 16/11. Common denominator = 22. Result = 241/22.\n</reasoning>\nFinal Answer: 241/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
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