messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 13/2 * 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/2) × (14/9) = (182/18) = 91/9 after simplification.\n</reasoning>\nFinal Answer: 91/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -632 - 289"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 289 from -632: -632 - 289 = -921.\n</reasoning>\nFinal Answer: -921"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 1, 45, 100, 55, 82, 98, 36, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 517/9 = 57.4444.\n</reasoning>\nFinal Answer: 57.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 48 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+48) × 41 = 1127.5.\n</reasoning>\nFinal Answer: 1127.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 33) * (48 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+33)=78, (48-28)=20, then 78×20=1560.\n</reasoning>\nFinal Answer: 1560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 62 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 62 × 73 = 2263.0.\n</reasoning>\nFinal Answer: 2263.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 3 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 3 × 6 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 46 + 34 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×46=552 and 34×30=1020, then add: 1572.\n</reasoning>\nFinal Answer: 1572"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 / 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/16) ÷ (9/11) = (17/16) × (11/9) = 187/144.\n</reasoning>\nFinal Answer: 187/144"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 16 + 44 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×16=720 and 44×27=1188, then add: 1908.\n</reasoning>\nFinal Answer: 1908"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/10 + 4/13. Common denominator = 65. Result = 137/65.\n</reasoning>\nFinal Answer: 137/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:46 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/46, so B = A × (46/21) = 37 × 46/21 = 81.0476.\n</reasoning>\nFinal Answer: 81.0476"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 10 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 10 = 120 worker-days. New time = 120 / 6 = 20.0 days.\n</reasoning>\nFinal Answer: 20.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -348 mod 495"
},
{
"role": "assistant",
"content": "<reasoning>\n-348 mod 495: -348 = 495 × -1 + 147, so remainder = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -17 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 6x = 78. Divide by 6: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -683 - 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 55 from -683: -683 - 55 = -738.\n</reasoning>\nFinal Answer: -738"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -134 ÷ -162"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -134 by -162. -134 ÷ -162 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 35 = 835"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 25x = 800. Divide by 25: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [66, 28, 12, 81, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 12 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "34 is what percentage of 381?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/381) × 100 = 8.9239%.\n</reasoning>\nFinal Answer: 8.9239%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -1 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 9x = 180. Divide by 9: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -795 ÷ -15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -795 by -15. -795 ÷ -15 = 53 (integer division).\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 15/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (15/5) = (105/20) = 21/4 after simplification.\n</reasoning>\nFinal Answer: 21/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×4)/1 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 40) * (5 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+40)=83, (5-20)=-15, then 83×-15=-1245.\n</reasoning>\nFinal Answer: -1245"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 916 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 916 × (1 + 40/100) = 916 × 1.4 = 1282.4.\n</reasoning>\nFinal Answer: 1282.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 10 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(10+64) = 2×74 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 27 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 22+729-12=739.\n</reasoning>\nFinal Answer: 739"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 48 + 16 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×48=1344 and 16×14=224, then add: 1568.\n</reasoning>\nFinal Answer: 1568"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 81, 11, 26, 43, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 81: 1, 11: 1, 26: 1, 43: 1, 63: 1}. Most frequent: [56, 81, 11, 26, 43, 63].\n</reasoning>\nFinal Answer: [56, 81, 11, 26, 43, 63]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Is 137 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n137 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: 860 × 197"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 860 by 197: 860 × 197 = 169420.\n</reasoning>\nFinal Answer: 169420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 20, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (23-1)×20 = 37 + 440 = 477.\n</reasoning>\nFinal Answer: 477"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 174 and 68."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(174,68) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 29) * (39 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+29)=79, (39-13)=26, then 79×26=2054.\n</reasoning>\nFinal Answer: 2054"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -17 = 270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 7x = 287. Divide by 7: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 46 * 7 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×7=322, then 25+322-20=327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 12, 24, 45, 76, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 267/6 = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 14) * (27 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+14)=32, (27-7)=20, then 32×20=640.\n</reasoning>\nFinal Answer: 640"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 5 = 41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 9x = 36. Divide by 9: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 - 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 5/9. LCD = 9. Result = 1/9.\n</reasoning>\nFinal Answer: 1/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 185 + -773"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 185 and -773: 185 + -773 = -588.\n</reasoning>\nFinal Answer: -588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 766 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 766 × (1 + 30/100) = 766 × 1.3 = 995.8.\n</reasoning>\nFinal Answer: 995.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 12 * 28 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×28=336, then 32+336-3=365.\n</reasoning>\nFinal Answer: 365"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40014 at 6% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40014 × 6 × 4 / 100 = 9603.36.\n</reasoning>\nFinal Answer: 9603.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 2, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (15-1)×2 = 38 + 28 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×17)/1 = 765.\n</reasoning>\nFinal Answer: 765"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 220 - -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from 220: 220 - -39 = 259.\n</reasoning>\nFinal Answer: 259"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 799 - -904"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -904 from 799: 799 - -904 = 1703.\n</reasoning>\nFinal Answer: 1703"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 254?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 254 = (15/100) × 254 = 38.1.\n</reasoning>\nFinal Answer: 38.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 14) * (2 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+14)=15, (2-35)=-33, then 15×-33=-495.\n</reasoning>\nFinal Answer: -495"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:6 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/6, so B = A × (6/45) = 70 × 6/45 = 9.3333.\n</reasoning>\nFinal Answer: 9.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 86 apples and buys 6 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 86 + 6 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 882 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 882 × (1 - 40/100) = 882 × 0.6 = 529.2.\n</reasoning>\nFinal Answer: 529.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 683 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 683 × (1 - 7/100) = 683 × 0.9299999999999999 = 635.19.\n</reasoning>\nFinal Answer: 635.19"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (4)x + (-96) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×2×-96 = 784. √discriminant = 28. x = (-(4) ± 28) / (2×2). Solutions: x = 6 or x = -8.\n</reasoning>\nFinal Answer: x = 6 or x = -8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 9/19 * 12/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/19) × (12/3) = (108/57) = 36/19 after simplification.\n</reasoning>\nFinal Answer: 36/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -49 = -457"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 24x = -408. Divide by 24: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 32 * 37 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×37=1184, then 37+1184-48=1173.\n</reasoning>\nFinal Answer: 1173"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 7) * (8 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+7)=17, (8-30)=-22, then 17×-22=-374.\n</reasoning>\nFinal Answer: -374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 350 - -840"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -840 from 350: 350 - -840 = 1190.\n</reasoning>\nFinal Answer: 1190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 48 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 36+2304-12=2328.\n</reasoning>\nFinal Answer: 2328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 18, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (41-1)×18 = 27 + 720 = 747.\n</reasoning>\nFinal Answer: 747"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -324 ÷ 365"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -324 by 365. -324 ÷ 365 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 35, 7, 8, 8, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 129/6 = 21.5.\n</reasoning>\nFinal Answer: 21.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 3 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 35/60 = 3.5833 hours. Distance = speed × time = 190 × 3.5833 = 680.8333 km.\n</reasoning>\nFinal Answer: 680.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 11 = -13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 8x = -24. Divide by 8: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 8, 10, 17, 19] and B = [2, 9, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 5, 6, 8, 9, 10, 11, 17, 19].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 56, 62, 24, 5, 72, 28, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 56: 1, 62: 1, 24: 1, 5: 1, 72: 1, 28: 1, 82: 1}. Most frequent: [70, 56, 62, 24, 5, 72, 28, 82].\n</reasoning>\nFinal Answer: [70, 56, 62... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 87, 31, 42, 94, 21, 32, 69, 54, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 566/10 = 56.6.\n</reasoning>\nFinal Answer: 56.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 31, 83, 82, 36, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 338/6 = 56.3333.\n</reasoning>\nFinal Answer: 56.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 52, 62, 72, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 10. Next term = 82 + 10 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:29 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/29, so B = A × (29/4) = 7 × 29/4 = 50.75.\n</reasoning>\nFinal Answer: 50.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 20 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 20 = 400 worker-days. New time = 400 / 3 = 133.3333 days.\n</reasoning>\nFinal Answer: 133.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 44 + 48 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×44=1408 and 48×41=1968, then add: 3376.\n</reasoning>\nFinal Answer: 3376"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3587. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3587 × 5/100 = 179.35. Total = 3587 + 179.35 = 3766.35.\n</reasoning>\nFinal Answer: 3766.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 78, 51, 83, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 295/5 = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:16 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/16, so B = A × (16/11) = 72 × 16/11 = 104.7273.\n</reasoning>\nFinal Answer: 104.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 12, 15, 18, 19] and B = [1, 3, 4, 8, 9, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 6, 8, 9, 10, 11, 12, 15, 18, 19].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -44 = -596"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 12x = -552. Divide by 12: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 25, 31, 37, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 6. Next term = 43 + 6 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 6 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 28+36-29=35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 34 = 3162.\n</reasoning>\nFinal Answer: 3162"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 6/7 / 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/7) ÷ (5/20) = (6/7) × (20/5) = 24/7.\n</reasoning>\nFinal Answer: 24/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27907 at 13% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27907 × 13 × 8 / 100 = 29023.28.\n</reasoning>\nFinal Answer: 29023.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 148 apples and buys 19 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 148 + 19 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 47 + 10 * 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×47=1410 and 10×21=210, then add: 1620.\n</reasoning>\nFinal Answer: 1620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 123 apples and buys 192 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 123 + 192 = 315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:31 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/31, so B = A × (31/2) = 2 × 31/2 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (4)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×2×-30 = 256. √discriminant = 16. x = (-(4) ± 16) / (2×2). Solutions: x = 3 or x = -5.\n</reasoning>\nFinal Answer: x = 3 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -49 = 215"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 12x = 264. Divide by 12: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-5)x + (6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×1×6 = 1. √discriminant = 1. x = (-(-5) ± 1) / (2×1). Solutions: x = 2 or x = 3.\n</reasoning>\nFinal Answer: x = 2 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 825 ÷ 627"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 825 by 627. 825 ÷ 627 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 28, 82, 52, 72, 16, 63, 87, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 536/9 = 59.5556.\n</reasoning>\nFinal Answer: 59.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 28 = 196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 21x = 168. Divide by 21: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 80 apples and buys 185 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 80 + 185 = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 17 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 17 × 61 = 518.5.\n</reasoning>\nFinal Answer: 518.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:3 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/3, so B = A × (3/29) = 26 × 3/29 = 2.6897.\n</reasoning>\nFinal Answer: 2.6897"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 89 and 162."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(89,162) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 674 × -552"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 674 by -552: 674 × -552 = -372048.\n</reasoning>\nFinal Answer: -372048"
}
] | medium | [
"arithmetic",
"computation"
] |
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