messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 549 km apart. Their speeds are 113 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+95=208 km/h. Time = 549/208 = 2.6394 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 38 + 25 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×38=950 and 25×16=400, then add: 1350.\n</reasoning>\nFinal Answer: 1350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -808 × 458"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -808 by 458: -808 × 458 = -370064.\n</reasoning>\nFinal Answer: -370064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 - 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/9 - 17/5. LCD = 5. Result = -12/5.\n</reasoning>\nFinal Answer: -12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 142 ÷ -371"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 142 by -371. 142 ÷ -371 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+63) = 2×79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 929 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 929 × (1 + 65/100) = 929 × 1.65 = 1532.85.\n</reasoning>\nFinal Answer: 1532.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 8) * (17 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+8)=28, (17-17)=0, then 28×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 26) * (31 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+26)=48, (31-21)=10, then 48×10=480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 + 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/3 + 9/16. Common denominator = 48. Result = 43/48.\n</reasoning>\nFinal Answer: 43/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 519 mod -678"
},
{
"role": "assistant",
"content": "<reasoning>\n519 mod -678: 519 = -678 × -1 + -159, so remainder = -159.\n</reasoning>\nFinal Answer: -159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 18 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 18 = 324 worker-days. New time = 324 / 13 = 24.9231 days.\n</reasoning>\nFinal Answer: 24.9231"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 21 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 21 = 63 worker-days. New time = 63 / 5 = 12.6 days.\n</reasoning>\nFinal Answer: 12.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×30)/2 = 510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 25% of 618?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 618 = (25/100) × 618 = 154.5.\n</reasoning>\nFinal Answer: 154.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 13, 14, 15] and B = [2, 8, 13, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 14, 15].\n</reasoning>\nFinal Answer: [3, 4, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 35, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 35 + 38 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 16 * 9 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×9=144, then 32+144-37=139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 105 and 137."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(105,137) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 331 mod 968"
},
{
"role": "assistant",
"content": "<reasoning>\n331 mod 968: 331 = 968 × 0 + 331, so remainder = 331.\n</reasoning>\nFinal Answer: 331"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 1 = 14.0.\n</reasoning>\nFinal Answer: 14.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×37)/1 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×39)/1 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 48 = -411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 27x = -459. Divide by 27: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -135 ÷ 475"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -135 by 475. -135 ÷ 475 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 6 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 35+36-38=33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 24 * 34 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×34=816, then 32+816-31=817.\n</reasoning>\nFinal Answer: 817"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 35 = 525.\n</reasoning>\nFinal Answer: 525"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (50)x + (105) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 50² - 4×5×105 = 400. √discriminant = 20. x = (-(50) ± 20) / (2×5). Solutions: x = -3 or x = -7.\n</reasoning>\nFinal Answer: x = -3 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 35 = 1120.\n</reasoning>\nFinal Answer: 1120"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 65% of 637?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 637 = (65/100) × 637 = 414.05.\n</reasoning>\nFinal Answer: 414.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 8 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 22x = -22. Divide by 22: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 100 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 100 × 92 = 9200.\n</reasoning>\nFinal Answer: 9200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 17 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+17) × 11 = 159.5.\n</reasoning>\nFinal Answer: 159.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 132 km/h. How far does it travel in 1 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 53/60 = 1.8833 hours. Distance = speed × time = 132 × 1.8833 = 248.6 km.\n</reasoning>\nFinal Answer: 248.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 18 * 11 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×11=198, then 49+198-33=214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 37 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 13+1369-13=1369.\n</reasoning>\nFinal Answer: 1369"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 159 × -339"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 159 by -339: 159 × -339 = -53901.\n</reasoning>\nFinal Answer: -53901"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27956 at 5% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27956 × 5 × 6 / 100 = 8386.8.\n</reasoning>\nFinal Answer: 8386.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/8 * 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/8) × (10/6) = (170/48) = 85/24 after simplification.\n</reasoning>\nFinal Answer: 85/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 16 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 3+256-41=218.\n</reasoning>\nFinal Answer: 218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×14)/1 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 8, 9, 10, 13] and B = [2, 5, 6, 8, 11, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 9, 10, 11, 13, 15, 17].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 189 ÷ -374"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 189 by -374. 189 ÷ -374 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -57 - 469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 469 from -57: -57 - 469 = -526.\n</reasoning>\nFinal Answer: -526"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 132 + 136"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 132 and 136: 132 + 136 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "501 is what percentage of 579?"
},
{
"role": "assistant",
"content": "<reasoning>\n(501/579) × 100 = 86.5285%.\n</reasoning>\nFinal Answer: 86.5285%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 24, 16, 21, 62, 9, 45, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 347/8 = 43.375.\n</reasoning>\nFinal Answer: 43.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 362 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 362 × (1 - 12/100) = 362 × 0.88 = 318.56.\n</reasoning>\nFinal Answer: 318.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 12, 51, 30, 27, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 5, 12, 27, 30, 51]. Middle value(s) → median = 19.5.\n</reasoning>\nFinal Answer: 19.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 66 = 4950.\n</reasoning>\nFinal Answer: 4950"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 12, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (17-1)×12 = 8 + 192 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -365 mod -875"
},
{
"role": "assistant",
"content": "<reasoning>\n-365 mod -875: -365 = -875 × 0 + -365, so remainder = -365.\n</reasoning>\nFinal Answer: -365"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -27 = -243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 24x = -216. Divide by 24: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 79 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(79,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 13 = 435.5.\n</reasoning>\nFinal Answer: 435.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 107 ÷ 258"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 107 by 258. 107 ÷ 258 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 * 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/12) × (6/8) = (66/96) = 11/16 after simplification.\n</reasoning>\nFinal Answer: 11/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 754 mod -567"
},
{
"role": "assistant",
"content": "<reasoning>\n754 mod -567: 754 = -567 × -2 + -380, so remainder = -380.\n</reasoning>\nFinal Answer: -380"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:2 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/2, so B = A × (2/35) = 50 × 2/35 = 2.8571.\n</reasoning>\nFinal Answer: 2.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 198 km/h. How far does it travel in 1 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 12/60 = 1.2000 hours. Distance = speed × time = 198 × 1.2000 = 237.6 km.\n</reasoning>\nFinal Answer: 237.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 15, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (38-1)×15 = 26 + 555 = 581.\n</reasoning>\nFinal Answer: 581"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 35 = -103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 23x = -138. Divide by 23: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 64, 73, 5, 14, 28, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 257/7 = 36.7143.\n</reasoning>\nFinal Answer: 36.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 + 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/17 + 9/10. Common denominator = 170. Result = 343/170.\n</reasoning>\nFinal Answer: 343/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 2 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 50/60 = 2.8333 hours. Distance = speed × time = 177 × 2.8333 = 501.5 km.\n</reasoning>\nFinal Answer: 501.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 11, 13, 15, 16, 17, 18] and B = [1, 3, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 9, 11, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [2, 9, 11, 15, 16, 17, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29970 at 2% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29970 × 2 × 7 / 100 = 4195.8.\n</reasoning>\nFinal Answer: 4195.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 194 and 152."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(194,152) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 185 km apart. Their speeds are 103 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+44=147 km/h. Time = 185/147 = 1.2585 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/13 * 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/13) × (20/4) = (240/52) = 60/13 after simplification.\n</reasoning>\nFinal Answer: 60/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 2 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 3+4-32=-25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 301."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 301 by smallest primes repeatedly: 301 = 7 × 43.\n</reasoning>\nFinal Answer: 7 × 43"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 16) * (21 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+16)=49, (21-36)=-15, then 49×-15=-735.\n</reasoning>\nFinal Answer: -735"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 * 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/11) × (4/20) = (12/220) = 3/55 after simplification.\n</reasoning>\nFinal Answer: 3/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:2 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/2, so B = A × (2/49) = 31 × 2/49 = 1.2653.\n</reasoning>\nFinal Answer: 1.2653"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 44 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 44 × 94 = 4136.\n</reasoning>\nFinal Answer: 4136"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 33 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 30+1089-28=1091.\n</reasoning>\nFinal Answer: 1091"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 17 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+17) × 24 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -967 - 722"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 722 from -967: -967 - 722 = -1689.\n</reasoning>\nFinal Answer: -1689"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 30 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 30 × 31 = 930.\n</reasoning>\nFinal Answer: 930"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43918 at 1% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43918 × 1 × 2 / 100 = 878.36.\n</reasoning>\nFinal Answer: 878.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:41 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/41, so B = A × (41/16) = 90 × 41/16 = 230.625.\n</reasoning>\nFinal Answer: 230.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×36)/1 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 145 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(145,16) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (9)x + (6) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 9² - 4×3×6 = 9. √discriminant = 3. x = (-(9) ± 3) / (2×3). Solutions: x = -2 or x = -1.\n</reasoning>\nFinal Answer: x = -2 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 / 15/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/4) ÷ (15/12) = (7/4) × (12/15) = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 748 - -163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -163 from 748: 748 - -163 = 911.\n</reasoning>\nFinal Answer: 911"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+19) = 2×93 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 198 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 198 = 397.\n</reasoning>\nFinal Answer: 397"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 31 apples and buys 125 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 31 + 125 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -7 = 377"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 8x = 384. Divide by 8: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 29, 20, 84, 4, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 239/6 = 39.8333.\n</reasoning>\nFinal Answer: 39.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 33 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+33) × 45 = 900.0.\n</reasoning>\nFinal Answer: 900.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 - 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/15 - 13/19. LCD = 57. Result = 37/57.\n</reasoning>\nFinal Answer: 37/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 39) * (49 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+39)=69, (49-19)=30, then 69×30=2070.\n</reasoning>\nFinal Answer: 2070"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 950 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 950 × (1 + 30/100) = 950 × 1.3 = 1235.0.\n</reasoning>\nFinal Answer: 1235.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×37)/1 = 1147.\n</reasoning>\nFinal Answer: 1147"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "29 is what percentage of 56?"
},
{
"role": "assistant",
"content": "<reasoning>\n(29/56) × 100 = 51.7857%.\n</reasoning>\nFinal Answer: 51.7857%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 1, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (23-1)×1 = 30 + 22 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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