messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹321. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 321 × 12/100 = 38.52. Total = 321 + 38.52 = 359.52.\n</reasoning>\nFinal Answer: 359.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:21 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/21, so B = A × (21/2) = 75 × 21/2 = 787.5.\n</reasoning>\nFinal Answer: 787.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 84 = 1512.0.\n</reasoning>\nFinal Answer: 1512.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 41 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+41) × 18 = 603.0.\n</reasoning>\nFinal Answer: 603.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 5 + 19 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×5=225 and 19×38=722, then add: 947.\n</reasoning>\nFinal Answer: 947"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -23 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 10x = 40. Divide by 10: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 22 = -28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 25x = -50. Divide by 25: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 * 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/13) × (19/10) = (380/130) = 38/13 after simplification.\n</reasoning>\nFinal Answer: 38/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -50 = 94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 9x = 144. Divide by 9: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -119 - -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -142 from -119: -119 - -142 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 * 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/12) × (16/13) = (144/156) = 12/13 after simplification.\n</reasoning>\nFinal Answer: 12/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 69 = 1138.5.\n</reasoning>\nFinal Answer: 1138.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -21 = -341"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 8x = -320. Divide by 8: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 89, 24, 51, 15, 82, 93, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 15 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -10 = -304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 6x = -294. Divide by 6: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -49 = 665"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 17x = 714. Divide by 17: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 20 * 16 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×16=320, then 40+320-40=320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 180 × 705"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 180 by 705: 180 × 705 = 126900.\n</reasoning>\nFinal Answer: 126900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 68 = 2380.0.\n</reasoning>\nFinal Answer: 2380.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 694 km apart. Their speeds are 72 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+57=129 km/h. Time = 694/129 = 5.3798 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 2 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 19+4-6=17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 12 = -968"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 20x = -980. Divide by 20: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 27 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 1x = -10. Divide by 1: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 2 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 57/60 = 2.9500 hours. Distance = speed × time = 53 × 2.9500 = 156.35 km.\n</reasoning>\nFinal Answer: 156.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 / 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/14) ÷ (3/14) = (20/14) × (14/3) = 20/3.\n</reasoning>\nFinal Answer: 20/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 595 km apart. Their speeds are 117 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+47=164 km/h. Time = 595/164 = 3.628 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 21 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 49+441-4=486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 6, 33, 8, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 6: 1, 33: 1, 8: 1, 5: 1}. Most frequent: [61, 6, 33, 8, 5].\n</reasoning>\nFinal Answer: [61, 6, 33, 8, 5]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 27, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 27 + 31 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -8 = 689"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 17x = 697. Divide by 17: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 46. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 46 ≈ 289.0265.\n</reasoning>\nFinal Answer: 289.0265"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 21 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 25+441-42=424.\n</reasoning>\nFinal Answer: 424"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 35, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 35 + 37 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 9 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+9) × 11 = 209.0.\n</reasoning>\nFinal Answer: 209.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 38 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+38) × 10 = 350.0.\n</reasoning>\nFinal Answer: 350.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 53, 61, 52, 57, 54, 79, 80, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 53: 1, 61: 1, 52: 1, 57: 1, 54: 1, 79: 1, 80: 1, 43: 1}. Most frequent: [68, 53, 61, 52, 57, 54, 79, 80, 43].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 27 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 27 = 459 worker-days. New time = 459 / 7 = 65.5714 days.\n</reasoning>\nFinal Answer: 65.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -12 = -172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 8x = -160. Divide by 8: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 23) * (38 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+23)=57, (38-34)=4, then 57×4=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 17, 29, 41, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 12. Next term = 53 + 12 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 128 - -739"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -739 from 128: 128 - -739 = 867.\n</reasoning>\nFinal Answer: 867"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:26 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/26, so B = A × (26/6) = 42 × 26/6 = 182.0.\n</reasoning>\nFinal Answer: 182.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -714 + 431"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -714 and 431: -714 + 431 = -283.\n</reasoning>\nFinal Answer: -283"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×32)/8 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -4 = 272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 23x = 276. Divide by 23: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2778. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2778 × 12/100 = 333.36. Total = 2778 + 333.36 = 3111.36.\n</reasoning>\nFinal Answer: 3111.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:40 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/40, so B = A × (40/20) = 82 × 40/20 = 164.0.\n</reasoning>\nFinal Answer: 164.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 15 + 7 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×15=600 and 7×13=91, then add: 691.\n</reasoning>\nFinal Answer: 691"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -37 = -382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 15x = -345. Divide by 15: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -865 × -617"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -865 by -617: -865 × -617 = 533705.\n</reasoning>\nFinal Answer: 533705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 77 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n77 = 7 × 11, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (6)x + (-72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×3×-72 = 900. √discriminant = 30. x = (-(6) ± 30) / (2×3). Solutions: x = 4 or x = -6.\n</reasoning>\nFinal Answer: x = 4 or x = -6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -27 × -427"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -27 by -427: -27 × -427 = 11529.\n</reasoning>\nFinal Answer: 11529"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -607 mod -7"
},
{
"role": "assistant",
"content": "<reasoning>\n-607 mod -7: -607 = -7 × 86 + -5, so remainder = -5.\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 71 apples and buys 70 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 71 + 70 = 141.\n</reasoning>\nFinal Answer: 141"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 572?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 572 = (45/100) × 572 = 257.4.\n</reasoning>\nFinal Answer: 257.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 8, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (32-1)×8 = 45 + 248 = 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 99 × 336"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 99 by 336: 99 × 336 = 33264.\n</reasoning>\nFinal Answer: 33264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 * 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/8) × (20/18) = (280/144) = 35/18 after simplification.\n</reasoning>\nFinal Answer: 35/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 41) * (41 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+41)=49, (41-35)=6, then 49×6=294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 602 mod -705"
},
{
"role": "assistant",
"content": "<reasoning>\n602 mod -705: 602 = -705 × -1 + -103, so remainder = -103.\n</reasoning>\nFinal Answer: -103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4102 at 19% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4102 × 19 × 3 / 100 = 2338.14.\n</reasoning>\nFinal Answer: 2338.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 - 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/18 - 8/14. LCD = 63. Result = 34/63.\n</reasoning>\nFinal Answer: 34/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 183 km/h. How far does it travel in 10 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 50/60 = 10.8333 hours. Distance = speed × time = 183 × 10.8333 = 1982.5 km.\n</reasoning>\nFinal Answer: 1982.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1402. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1402 × 18/100 = 252.36. Total = 1402 + 252.36 = 1654.36.\n</reasoning>\nFinal Answer: 1654.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 17 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 21+289-45=265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 19 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(19+62) = 2×81 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 143 and 72."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(143,72) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -399 × 601"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -399 by 601: -399 × 601 = -239799.\n</reasoning>\nFinal Answer: -239799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [30, 61, 60, 17, 48, 63, 4, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {30: 1, 61: 1, 60: 1, 17: 1, 48: 1, 63: 1, 4: 1, 28: 1}. Most frequent: [30, 61, 60, 17, 48, 63, 4, 28].\n</reasoning>\nFinal Answer: [30, 61, 60... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [41, 77, 88, 95, 85, 13, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 29, 41, 77, 85, 88, 95]. Middle value(s) → median = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 39 = 613"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 14x = 574. Divide by 14: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 + 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/4 + 2/3. Common denominator = 3. Result = 14/3.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 22) * (21 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+22)=58, (21-47)=-26, then 58×-26=-1508.\n</reasoning>\nFinal Answer: -1508"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 790 ÷ -866"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 790 by -866. 790 ÷ -866 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 8 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 8 = 72 worker-days. New time = 72 / 14 = 5.1429 days.\n</reasoning>\nFinal Answer: 5.1429"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 7, 10, 11, 13, 16, 19] and B = [2, 4, 7, 11, 16, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 7, 11, 16, 19].\n</reasoning>\nFinal Answer: [2, 7, 11,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 54 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(54+9) = 2×63 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -443 + -560"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -443 and -560: -443 + -560 = -1003.\n</reasoning>\nFinal Answer: -1003"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 44, 79, 72, 38, 54, 98, 43, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 38, 43, 44, 54, 72, 79, 91, 98]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (6)x + (-24) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 6² - 4×3×-24 = 324. √discriminant = 18. x = (-(6) ± 18) / (2×3). Solutions: x = -4 or x = 2.\n</reasoning>\nFinal Answer: x = -4 or x = 2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 83 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 83 × 44 = 3652.\n</reasoning>\nFinal Answer: 3652"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -467 mod -830"
},
{
"role": "assistant",
"content": "<reasoning>\n-467 mod -830: -467 = -830 × 0 + -467, so remainder = -467.\n</reasoning>\nFinal Answer: -467"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -199 mod 244"
},
{
"role": "assistant",
"content": "<reasoning>\n-199 mod 244: -199 = 244 × -1 + 45, so remainder = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 46 * 35 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×35=1610, then 2+1610-12=1600.\n</reasoning>\nFinal Answer: 1600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 10 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 10 = 140 worker-days. New time = 140 / 6 = 23.3333 days.\n</reasoning>\nFinal Answer: 23.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 12, 15, 18, 19] and B = [1, 4, 6, 7, 9, 11, 12, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 4, 12].\n</reasoning>\nFinal Answer: [1, 4, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -19 = -223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 17x = -204. Divide by 17: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 36 = -74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 22x = -110. Divide by 22: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -391 × 474"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -391 by 474: -391 × 474 = -185334.\n</reasoning>\nFinal Answer: -185334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹284. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 284 × 5/100 = 14.2. Total = 284 + 14.2 = 298.2.\n</reasoning>\nFinal Answer: 298.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 46 * 29 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×29=1334, then 5+1334-30=1309.\n</reasoning>\nFinal Answer: 1309"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 16, 85, 91, 92, 52, 41, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 16 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 20 * 42 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×42=840, then 24+840-34=830.\n</reasoning>\nFinal Answer: 830"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -3 = 405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 17x = 408. Divide by 17: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/3 * 15/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/3) × (15/4) = (60/12) = 5 after simplification.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 3 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 563 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 563 × (1 - 35/100) = 563 × 0.65 = 365.95.\n</reasoning>\nFinal Answer: 365.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -24 = 751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 25x = 775. Divide by 25: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:11 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/11, so B = A × (11/21) = 17 × 11/21 = 8.9048.\n</reasoning>\nFinal Answer: 8.9048"
}
] | medium | [
"ratio",
"proportion"
] |
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