messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹1337. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1337 × 28/100 = 374.36. Total = 1337 + 374.36 = 1711.36.\n</reasoning>\nFinal Answer: 1711.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 46, 23, 30, 35, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 46: 1, 23: 1, 30: 1, 35: 1, 38: 1}. Most frequent: [49, 46, 23, 30, 35, 38].\n</reasoning>\nFinal Answer: [49, 46, 23, 30, 35, 38]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 49 + 32 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×49=1715 and 32×19=608, then add: 2323.\n</reasoning>\nFinal Answer: 2323"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "650 is what percentage of 804?"
},
{
"role": "assistant",
"content": "<reasoning>\n(650/804) × 100 = 80.8458%.\n</reasoning>\nFinal Answer: 80.8458%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "391 is what percentage of 848?"
},
{
"role": "assistant",
"content": "<reasoning>\n(391/848) × 100 = 46.1085%.\n</reasoning>\nFinal Answer: 46.1085%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 394 km apart. Their speeds are 62 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+74=136 km/h. Time = 394/136 = 2.8971 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 405 ÷ -600"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 405 by -600. 405 ÷ -600 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -915 × -81"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -915 by -81: -915 × -81 = 74115.\n</reasoning>\nFinal Answer: 74115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [9, 15, 17] and B = [3, 4, 10, 11, 12, 14, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 9, 10, 11, 12, 14, 15, 17, 19].\n</reasoning>\nFinal Answer: [3, 4, 9, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 57, 33, 30, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 24 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 651 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 651 × (1 + 12/100) = 651 × 1.12 = 729.12.\n</reasoning>\nFinal Answer: 729.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 71 = 1952.5.\n</reasoning>\nFinal Answer: 1952.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "43 is what percentage of 108?"
},
{
"role": "assistant",
"content": "<reasoning>\n(43/108) × 100 = 39.8148%.\n</reasoning>\nFinal Answer: 39.8148%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 842 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 842 × (1 - 3/100) = 842 × 0.97 = 816.74.\n</reasoning>\nFinal Answer: 816.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 47) * (17 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+47)=97, (17-14)=3, then 97×3=291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 20 = 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 14x = 98. Divide by 14: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 / 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/7) ÷ (20/2) = (20/7) × (2/20) = 2/7.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 42 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+42) × 2 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 5, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (40-1)×5 = 33 + 195 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 84, 96, 72, 41, 43, 58, 50, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 41 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -317 ÷ 78"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -317 by 78. -317 ÷ 78 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -30 = 480"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 30x = 510. Divide by 30: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 97, 44, 38, 4, 32, 7, 18, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 349/9 = 38.7778.\n</reasoning>\nFinal Answer: 38.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 458 km apart. Their speeds are 104 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+83=187 km/h. Time = 458/187 = 2.4492 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 489 km apart. Their speeds are 80 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+87=167 km/h. Time = 489/167 = 2.9281 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 41 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+41) × 13 = 390.0.\n</reasoning>\nFinal Answer: 390.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 892 ÷ -830"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 892 by -830. 892 ÷ -830 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -399 ÷ 208"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -399 by 208. -399 ÷ 208 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:41 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/41, so B = A × (41/35) = 5 × 41/35 = 5.8571.\n</reasoning>\nFinal Answer: 5.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 78, 14, 72, 31, 10, 27, 28, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 14, 27, 28, 31, 63, 67, 72, 78]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 350 + 815"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 350 and 815: 350 + 815 = 1165.\n</reasoning>\nFinal Answer: 1165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 26 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 26 = 130 worker-days. New time = 130 / 10 = 13.0 days.\n</reasoning>\nFinal Answer: 13.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 361."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 361 by smallest primes repeatedly: 361 = 19 × 19.\n</reasoning>\nFinal Answer: 19 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 4/18 * 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/18) × (20/4) = (80/72) = 10/9 after simplification.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -469 - 898"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 898 from -469: -469 - 898 = -1367.\n</reasoning>\nFinal Answer: -1367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 * 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/15) × (9/11) = (63/165) = 21/55 after simplification.\n</reasoning>\nFinal Answer: 21/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -343 - -101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -101 from -343: -343 - -101 = -242.\n</reasoning>\nFinal Answer: -242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -953 × -250"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -953 by -250: -953 × -250 = 238250.\n</reasoning>\nFinal Answer: 238250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 287 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 287 × (1 - 40/100) = 287 × 0.6 = 172.2.\n</reasoning>\nFinal Answer: 172.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 90 × -266"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 90 by -266: 90 × -266 = -23940.\n</reasoning>\nFinal Answer: -23940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-42)x + (147) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -42² - 4×3×147 = 0. √discriminant = 0. x = (-(-42) ± 0) / (2×3). Solutions: x = 7 (double root).\n</reasoning>\nFinal Answer: x = 7 (double ro... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 41 + 50 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×41=1312 and 50×43=2150, then add: 3462.\n</reasoning>\nFinal Answer: 3462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:1 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/1, so B = A × (1/16) = 42 × 1/16 = 2.625.\n</reasoning>\nFinal Answer: 2.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 10 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+10) × 36 = 324.0.\n</reasoning>\nFinal Answer: 324.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 42 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 18x = -252. Divide by 18: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 - 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/15 - 19/16. LCD = 80. Result = -63/80.\n</reasoning>\nFinal Answer: -63/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -955 mod 73"
},
{
"role": "assistant",
"content": "<reasoning>\n-955 mod 73: -955 = 73 × -14 + 67, so remainder = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 16) * (21 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+16)=27, (21-3)=18, then 27×18=486.\n</reasoning>\nFinal Answer: 486"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 234 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 234 × (1 - 90/100) = 234 × 0.09999999999999998 = 23.4.\n</reasoning>\nFinal Answer: 23.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 28 * 38 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×38=1064, then 49+1064-31=1082.\n</reasoning>\nFinal Answer: 1082"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 747 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 747 × (1 + 75/100) = 747 × 1.75 = 1307.25.\n</reasoning>\nFinal Answer: 1307.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 390 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 390 × (1 - 100/100) = 390 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 445 - 993"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 993 from 445: 445 - 993 = -548.\n</reasoning>\nFinal Answer: -548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 2 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 11/60 = 2.1833 hours. Distance = speed × time = 146 × 2.1833 = 318.7667 km.\n</reasoning>\nFinal Answer: 318.7667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 182 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(182,32) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 16 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 3x = 15. Divide by 3: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 263 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 263 × (1 + 45/100) = 263 × 1.45 = 381.35.\n</reasoning>\nFinal Answer: 381.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:3 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/3, so B = A × (3/24) = 40 × 3/24 = 5.0.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 12, 14, 15, 18] and B = [1, 6, 8, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 7, 8, 12, 14, 15, 16, 18].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:26 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/26, so B = A × (26/8) = 97 × 26/8 = 315.25.\n</reasoning>\nFinal Answer: 315.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:6 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/6, so B = A × (6/45) = 52 × 6/45 = 6.9333.\n</reasoning>\nFinal Answer: 6.9333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 19, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (16-1)×19 = 31 + 285 = 316.\n</reasoning>\nFinal Answer: 316"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "667 is what percentage of 869?"
},
{
"role": "assistant",
"content": "<reasoning>\n(667/869) × 100 = 76.7549%.\n</reasoning>\nFinal Answer: 76.7549%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 169 km/h. How far does it travel in 7 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 30/60 = 7.5000 hours. Distance = speed × time = 169 × 7.5000 = 1267.5 km.\n</reasoning>\nFinal Answer: 1267.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 9, 10, 11, 12, 14] and B = [9, 11, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [6, 7, 10, 12, 14, 16, 17].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 28, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 28 + 35 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 19 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+19) × 32 = 464.0.\n</reasoning>\nFinal Answer: 464.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 5 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 5/60 = 5.0833 hours. Distance = speed × time = 151 × 5.0833 = 767.5833 km.\n</reasoning>\nFinal Answer: 767.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/4 * 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/4) × (2/14) = (14/56) = 1/4 after simplification.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:8 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/8, so B = A × (8/49) = 51 × 8/49 = 8.3265.\n</reasoning>\nFinal Answer: 8.3265"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 14, 15, 18] and B = [1, 9, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 8, 9, 14, 15, 18].\n</reasoning>\nFinal Answer: [1, 3, 8, 9, 14, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 150 apples and buys 26 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 150 + 26 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 40% of 362?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 362 = (40/100) × 362 = 144.8.\n</reasoning>\nFinal Answer: 144.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 31 + 48 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×31=1085 and 48×48=2304, then add: 3389.\n</reasoning>\nFinal Answer: 3389"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 9, 73, 9, 36, 58, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 73 - 9 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹301. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 301 × 28/100 = 84.28. Total = 301 + 84.28 = 385.28.\n</reasoning>\nFinal Answer: 385.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -11 = -151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 7x = -140. Divide by 7: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 178 km/h. How far does it travel in 6 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 5/60 = 6.0833 hours. Distance = speed × time = 178 × 6.0833 = 1082.8333 km.\n</reasoning>\nFinal Answer: 1082.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 + 18/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/10 + 18/20. Common denominator = 10. Result = 9/5.\n</reasoning>\nFinal Answer: 9/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 - 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/19 - 14/9. LCD = 171. Result = -257/171.\n</reasoning>\nFinal Answer: -257/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 12 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 - 11/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/7 - 11/11. LCD = 7. Result = 5/7.\n</reasoning>\nFinal Answer: 5/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 702 mod 675"
},
{
"role": "assistant",
"content": "<reasoning>\n702 mod 675: 702 = 675 × 1 + 27, so remainder = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 38) * (13 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+38)=55, (13-20)=-7, then 55×-7=-385.\n</reasoning>\nFinal Answer: -385"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 22 + 9 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×22=550 and 9×33=297, then add: 847.\n</reasoning>\nFinal Answer: 847"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 76 mod -897"
},
{
"role": "assistant",
"content": "<reasoning>\n76 mod -897: 76 = -897 × -1 + -821, so remainder = -821.\n</reasoning>\nFinal Answer: -821"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -374 mod 400"
},
{
"role": "assistant",
"content": "<reasoning>\n-374 mod 400: -374 = 400 × -1 + 26, so remainder = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -32 = 319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 9x = 351. Divide by 9: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 + 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/8 + 10/5. Common denominator = 8. Result = 23/8.\n</reasoning>\nFinal Answer: 23/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8834 at 9% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8834 × 9 × 10 / 100 = 7950.6.\n</reasoning>\nFinal Answer: 7950.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 935 km apart. Their speeds are 85 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+72=157 km/h. Time = 935/157 = 5.9554 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 9, 14] and B = [3, 5, 6, 8, 11, 12, 13, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 5, 6, 8, 9, 11, 12, 13, 14, 16].\n</reasoning>\nFinal Answer: [2, 3, 5, 6, 8... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 17, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (19-1)×17 = 4 + 306 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 240 × 494"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 240 by 494: 240 × 494 = 118560.\n</reasoning>\nFinal Answer: 118560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 33) * (5 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+33)=63, (5-24)=-19, then 63×-19=-1197.\n</reasoning>\nFinal Answer: -1197"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 17% of 195?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 195 = (17/100) × 195 = 33.15.\n</reasoning>\nFinal Answer: 33.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1863. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1863 × 12/100 = 223.56. Total = 1863 + 223.56 = 2086.56.\n</reasoning>\nFinal Answer: 2086.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 - 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/15 - 13/9. LCD = 9. Result = -7/9.\n</reasoning>\nFinal Answer: -7/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -635 + -627"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -635 and -627: -635 + -627 = -1262.\n</reasoning>\nFinal Answer: -1262"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48465 at 18% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48465 × 18 × 5 / 100 = 43618.5.\n</reasoning>\nFinal Answer: 43618.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
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