messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [60, 56, 6, 84, 25, 70, 91, 73, 89, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 6 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -471 - -647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -647 from -471: -471 - -647 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 33, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 33 + 35 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 376 × -610"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 376 by -610: 376 × -610 = -229360.\n</reasoning>\nFinal Answer: -229360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:48 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/48, so B = A × (48/45) = 54 × 48/45 = 57.6.\n</reasoning>\nFinal Answer: 57.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -878 + 913"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -878 and 913: -878 + 913 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 21 = -779"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 20x = -800. Divide by 20: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 47 * 3 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×3=141, then 25+141-48=118.\n</reasoning>\nFinal Answer: 118"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 63."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 63 by smallest primes repeatedly: 63 = 3 × 3 × 7.\n</reasoning>\nFinal Answer: 3 × 3 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 68, 82, 45, 24, 70, 7, 49, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 7 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 346 - 796"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 796 from 346: 346 - 796 = -450.\n</reasoning>\nFinal Answer: -450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 15 * 42 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×42=630, then 27+630-40=617.\n</reasoning>\nFinal Answer: 617"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 164 and 185."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(164,185) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 67, 78, 80, 42, 20, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 67: 1, 78: 1, 80: 1, 42: 1, 20: 1, 86: 1}. Most frequent: [37, 67, 78, 80, 42, 20, 86].\n</reasoning>\nFinal Answer: [37, 67, 78, 80, 42, 20... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:11 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/11, so B = A × (11/22) = 20 × 11/22 = 10.0.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 93 = 5022.\n</reasoning>\nFinal Answer: 5022"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 70 = 2800.\n</reasoning>\nFinal Answer: 2800"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 11, 48, 25, 68, 77, 93, 41, 18, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 1 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹407. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 407 × 28/100 = 113.96. Total = 407 + 113.96 = 520.96.\n</reasoning>\nFinal Answer: 520.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:25 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/25, so B = A × (25/43) = 27 × 25/43 = 15.6977.\n</reasoning>\nFinal Answer: 15.6977"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 15, 29, 43, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 1 and common difference 14. Next term = 57 + 14 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 80 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 80 × (1 + 70/100) = 80 × 1.7 = 136.0.\n</reasoning>\nFinal Answer: 136.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 193."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,193) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -18 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 3x = 126. Divide by 3: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/3 * 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/3) × (5/7) = (100/21) = 100/21 after simplification.\n</reasoning>\nFinal Answer: 100/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -806 mod -296"
},
{
"role": "assistant",
"content": "<reasoning>\n-806 mod -296: -806 = -296 × 2 + -214, so remainder = -214.\n</reasoning>\nFinal Answer: -214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 + 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/17 + 10/5. Common denominator = 17. Result = 52/17.\n</reasoning>\nFinal Answer: 52/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 35 = 1732.5.\n</reasoning>\nFinal Answer: 1732.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "65 is what percentage of 201?"
},
{
"role": "assistant",
"content": "<reasoning>\n(65/201) × 100 = 32.3383%.\n</reasoning>\nFinal Answer: 32.3383%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 43 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 43 × 37 = 1591.\n</reasoning>\nFinal Answer: 1591"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 873 × -113"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 873 by -113: 873 × -113 = -98649.\n</reasoning>\nFinal Answer: -98649"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 47 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 1+2209-19=2191.\n</reasoning>\nFinal Answer: 2191"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 38 = 2470.\n</reasoning>\nFinal Answer: 2470"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 74 km/h. How far does it travel in 8 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 27/60 = 8.4500 hours. Distance = speed × time = 74 × 8.4500 = 625.3 km.\n</reasoning>\nFinal Answer: 625.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -305 + 102"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -305 and 102: -305 + 102 = -203.\n</reasoning>\nFinal Answer: -203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×14)/2 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:50 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/50, so B = A × (50/28) = 9 × 50/28 = 16.0714.\n</reasoning>\nFinal Answer: 16.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-1)x + (-12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -1² - 4×1×-12 = 49. √discriminant = 7. x = (-(-1) ± 7) / (2×1). Solutions: x = 4 or x = -3.\n</reasoning>\nFinal Answer: x = 4 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 7 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [25, 39, 40, 43, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 61 - 25 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 33) * (20 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+33)=77, (20-43)=-23, then 77×-23=-1771.\n</reasoning>\nFinal Answer: -1771"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 166 and 128."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(166,128) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 6 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 6 = 72 worker-days. New time = 72 / 12 = 6.0 days.\n</reasoning>\nFinal Answer: 6.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-55)x + (140) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -55² - 4×5×140 = 225. √discriminant = 15. x = (-(-55) ± 15) / (2×5). Solutions: x = 4 or x = 7.\n</reasoning>\nFinal Answer: x = 4 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -305 + -530"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -305 and -530: -305 + -530 = -835.\n</reasoning>\nFinal Answer: -835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (1)x + (-20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 1² - 4×1×-20 = 81. √discriminant = 9. x = (-(1) ± 9) / (2×1). Solutions: x = 4 or x = -5.\n</reasoning>\nFinal Answer: x = 4 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the square root of 484."
},
{
"role": "assistant",
"content": "<reasoning>\n√484 = 22 because 22² = 484.\n</reasoning>\nFinal Answer: 22"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:9 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/9, so B = A × (9/18) = 25 × 9/18 = 12.5.\n</reasoning>\nFinal Answer: 12.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/15 + 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/15 + 18/7. Common denominator = 35. Result = 132/35.\n</reasoning>\nFinal Answer: 132/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 1 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 44/60 = 1.7333 hours. Distance = speed × time = 65 × 1.7333 = 112.6667 km.\n</reasoning>\nFinal Answer: 112.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/1 + 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/1 + 5/4. Common denominator = 4. Result = 57/4.\n</reasoning>\nFinal Answer: 57/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 / 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/6) ÷ (9/16) = (19/6) × (16/9) = 152/27.\n</reasoning>\nFinal Answer: 152/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 * 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/19) × (10/16) = (190/304) = 5/8 after simplification.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 29 apples and buys 143 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 29 + 143 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 19 = 779.\n</reasoning>\nFinal Answer: 779"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 483 - 256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 256 from 483: 483 - 256 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (3/20) = (21/80) = 21/80 after simplification.\n</reasoning>\nFinal Answer: 21/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -783 mod 73"
},
{
"role": "assistant",
"content": "<reasoning>\n-783 mod 73: -783 = 73 × -11 + 20, so remainder = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 806 mod -993"
},
{
"role": "assistant",
"content": "<reasoning>\n806 mod -993: 806 = -993 × -1 + -187, so remainder = -187.\n</reasoning>\nFinal Answer: -187"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16271 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16271 × 19 × 7 / 100 = 21640.43.\n</reasoning>\nFinal Answer: 21640.43"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -346 - 353"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 353 from -346: -346 - 353 = -699.\n</reasoning>\nFinal Answer: -699"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 94 km/h. How far does it travel in 2 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 33/60 = 2.5500 hours. Distance = speed × time = 94 × 2.5500 = 239.7 km.\n</reasoning>\nFinal Answer: 239.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 10, and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 10 + 18 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 56 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(56+24) = 2×80 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 335 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 335 × (1 + 25/100) = 335 × 1.25 = 418.75.\n</reasoning>\nFinal Answer: 418.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -21 = -66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 15x = -45. Divide by 15: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 963 - 895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 895 from 963: 963 - 895 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 47 + 40 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×47=2256 and 40×16=640, then add: 2896.\n</reasoning>\nFinal Answer: 2896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:43 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/43, so B = A × (43/11) = 75 × 43/11 = 293.1818.\n</reasoning>\nFinal Answer: 293.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 9, 10, 14, 18] and B = [1, 3, 7, 8, 9, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 6, 7, 8, 10, 14, 17, 18, 19].\n</reaso... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [58, 78, 37, 21, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 21 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -41 = 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 18x = 540. Divide by 18: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 13) * (5 - 30)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+13)=30, (5-30)=-25, then 30×-25=-750.\n</reasoning>\nFinal Answer: -750"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:28 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/28, so B = A × (28/23) = 6 × 28/23 = 7.3043.\n</reasoning>\nFinal Answer: 7.3043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -630 + 512"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -630 and 512: -630 + 512 = -118.\n</reasoning>\nFinal Answer: -118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 24 + 35 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×24=72 and 35×16=560, then add: 632.\n</reasoning>\nFinal Answer: 632"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 340 ÷ -627"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 340 by -627. 340 ÷ -627 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/3 * 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/3) × (5/3) = (70/9) = 70/9 after simplification.\n</reasoning>\nFinal Answer: 70/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 740 ÷ 176"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 740 by 176. 740 ÷ 176 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 42 = 178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 17x = 136. Divide by 17: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 32 = 644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 17x = 612. Divide by 17: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 966 - 649"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 649 from 966: 966 - 649 = 317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×50)/2 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 46 = 1486"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 30x = 1440. Divide by 30: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 89, 61, 79, 62, 27, 90, 62, 70, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 656/10 = 65.6.\n</reasoning>\nFinal Answer: 65.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [5, 14, 19] and B = [2, 8, 9, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [19].\n</reasoning>\nFinal Answer: [19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 799 km apart. Their speeds are 48 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 48+71=119 km/h. Time = 799/119 = 6.7143 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 7 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 7 × (1 + 35/100) = 7 × 1.35 = 9.45.\n</reasoning>\nFinal Answer: 9.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 352 + 860"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 352 and 860: 352 + 860 = 1212.\n</reasoning>\nFinal Answer: 1212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -16 = 936"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 28x = 952. Divide by 28: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [47, 50, 53, 56, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 47 and common difference 3. Next term = 59 + 3 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8809 at 16% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8809 × 16 × 1 / 100 = 1409.44.\n</reasoning>\nFinal Answer: 1409.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:32 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/32, so B = A × (32/25) = 68 × 32/25 = 87.04.\n</reasoning>\nFinal Answer: 87.04"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 32, 81, 74, 70, 32, 20, 54, 11, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 20, 32, 32, 42, 54, 70, 74, 81, 85]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 568 - 136"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 136 from 568: 568 - 136 = 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 10 = -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 4x = -44. Divide by 4: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 22 = -341"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 11x = -363. Divide by 11: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 354."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 354 by smallest primes repeatedly: 354 = 2 × 3 × 59.\n</reasoning>\nFinal Answer: 2 × 3 × 59"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 41 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 6+1681-30=1657.\n</reasoning>\nFinal Answer: 1657"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 100, 88, 50, 54, 83, 79, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [40, 42, 50, 54, 79, 83, 88, 100]. Middle value(s) → median = 66.5.\n</reasoning>\nFinal Answer: 66.5"
}
] | medium | [
"statistics",
"median"
] |
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