messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "112 is what percentage of 398?"
},
{
"role": "assistant",
"content": "<reasoning>\n(112/398) × 100 = 28.1407%.\n</reasoning>\nFinal Answer: 28.1407%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -206 mod 266"
},
{
"role": "assistant",
"content": "<reasoning>\n-206 mod 266: -206 = 266 × -1 + 60, so remainder = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [4, 20, 5, 99, 27, 3, 31, 67, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {4: 1, 20: 1, 5: 1, 99: 1, 27: 1, 3: 1, 31: 1, 67: 1, 45: 1}. Most frequent: [4, 20, 5, 99, 27, 3, 31, 67, 45].\n</reasoning>\nFinal Answer: [4... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -858 - 851"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 851 from -858: -858 - 851 = -1709.\n</reasoning>\nFinal Answer: -1709"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -443 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from -443: -443 - 11 = -454.\n</reasoning>\nFinal Answer: -454"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2749. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2749 × 28/100 = 769.72. Total = 2749 + 769.72 = 3518.72.\n</reasoning>\nFinal Answer: 3518.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 / 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/9) ÷ (1/18) = (16/9) × (18/1) = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/1 / 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/1) ÷ (9/10) = (3/1) × (10/9) = 10/3.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 28 = 1250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 26x = 1222. Divide by 26: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [23, 9, 66, 16, 23, 20, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 9 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 * 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/13) × (9/13) = (63/169) = 63/169 after simplification.\n</reasoning>\nFinal Answer: 63/169"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 36 = 461"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 17x = 425. Divide by 17: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 825 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 825 × (1 - 90/100) = 825 × 0.09999999999999998 = 82.5.\n</reasoning>\nFinal Answer: 82.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 13 * 46 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×46=598, then 44+598-22=620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:22 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/22, so B = A × (22/48) = 68 × 22/48 = 31.1667.\n</reasoning>\nFinal Answer: 31.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 55 = 1182.5.\n</reasoning>\nFinal Answer: 1182.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 10 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 10 × 22 = 110.0.\n</reasoning>\nFinal Answer: 110.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 680 - 257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 257 from 680: 680 - 257 = 423.\n</reasoning>\nFinal Answer: 423"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44637 at 7% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44637 × 7 × 7 / 100 = 21872.13.\n</reasoning>\nFinal Answer: 21872.13"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 7 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 7 = 77 worker-days. New time = 77 / 4 = 19.25 days.\n</reasoning>\nFinal Answer: 19.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 30 = 70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 20x = 40. Divide by 20: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 100% of 781?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 781 = (100/100) × 781 = 781.0.\n</reasoning>\nFinal Answer: 781.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 100 ÷ -364"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 100 by -364. 100 ÷ -364 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 * 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/1) × (12/9) = (24/9) = 8/3 after simplification.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 - 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/18 - 17/13. LCD = 234. Result = -137/234.\n</reasoning>\nFinal Answer: -137/234"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 29, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 29 + 40 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 47 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 32+2209-19=2222.\n</reasoning>\nFinal Answer: 2222"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14748 at 7% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14748 × 7 × 8 / 100 = 8258.88.\n</reasoning>\nFinal Answer: 8258.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 - 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/9 - 10/12. LCD = 18. Result = 25/18.\n</reasoning>\nFinal Answer: 25/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 186 and 53."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(186,53) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 16, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (13-1)×16 = 33 + 192 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 36 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 16x = -256. Divide by 16: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 60% of 807?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 807 = (60/100) × 807 = 484.2.\n</reasoning>\nFinal Answer: 484.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 4, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (21-1)×4 = 4 + 80 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -41 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 7x = -126. Divide by 7: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 86 = 2064.0.\n</reasoning>\nFinal Answer: 2064.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 50 * 12 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×12=600, then 15+600-29=586.\n</reasoning>\nFinal Answer: 586"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 17 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 17 = 306 worker-days. New time = 306 / 19 = 16.1053 days.\n</reasoning>\nFinal Answer: 16.1053"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 34 * 32 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×32=1088, then 16+1088-4=1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 56 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 56 + 183 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 853 ÷ -511"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 853 by -511. 853 ÷ -511 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -14 = -539"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 15x = -525. Divide by 15: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 948 × 268"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 948 by 268: 948 × 268 = 254064.\n</reasoning>\nFinal Answer: 254064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 / 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/9) ÷ (12/15) = (8/9) × (15/12) = 10/9.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -24 = -633"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 21x = -609. Divide by 21: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 736 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from 736: 736 - 20 = 716.\n</reasoning>\nFinal Answer: 716"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 20, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (50-1)×20 = 23 + 980 = 1003.\n</reasoning>\nFinal Answer: 1003"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 * 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/10) × (5/9) = (75/90) = 5/6 after simplification.\n</reasoning>\nFinal Answer: 5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 17 + 38 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×17=170 and 38×32=1216, then add: 1386.\n</reasoning>\nFinal Answer: 1386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -46 = 158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 6x = 204. Divide by 6: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 909 ÷ -198"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 909 by -198. 909 ÷ -198 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 148 and 64."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(148,64) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 21 + 5 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×21=882 and 5×7=35, then add: 917.\n</reasoning>\nFinal Answer: 917"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 32 * 37 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×37=1184, then 29+1184-43=1170.\n</reasoning>\nFinal Answer: 1170"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8216 at 16% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8216 × 16 × 8 / 100 = 10516.48.\n</reasoning>\nFinal Answer: 10516.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -22 = -896"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 19x = -874. Divide by 19: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 96 = 384.\n</reasoning>\nFinal Answer: 384"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:46 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/46, so B = A × (46/2) = 51 × 46/2 = 1173.0.\n</reasoning>\nFinal Answer: 1173.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 43 * 15 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×15=645, then 24+645-32=637.\n</reasoning>\nFinal Answer: 637"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 492."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 492 by smallest primes repeatedly: 492 = 2 × 2 × 3 × 41.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 41"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 34 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 19+1156-13=1162.\n</reasoning>\nFinal Answer: 1162"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 + 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/19 + 18/4. Common denominator = 38. Result = 205/38.\n</reasoning>\nFinal Answer: 205/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [52, 79, 92, 61, 79, 52, 89, 50, 12, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {52: 2, 79: 2, 92: 1, 61: 1, 89: 1, 50: 1, 12: 1, 100: 1}. Most frequent: [52, 79].\n</reasoning>\nFinal Answer: [52, 79]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -40 = 268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 22x = 308. Divide by 22: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 11 * 15 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×15=165, then 46+165-17=194.\n</reasoning>\nFinal Answer: 194"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 7, 13, 27, 68, 22, 88, 5, 86, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 2, 7: 1, 13: 1, 27: 1, 68: 1, 22: 1, 5: 1, 86: 1, 83: 1}. Most frequent: 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 15 + 35 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×15=375 and 35×30=1050, then add: 1425.\n</reasoning>\nFinal Answer: 1425"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:38 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/38, so B = A × (38/45) = 60 × 38/45 = 50.6667.\n</reasoning>\nFinal Answer: 50.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 609 × 57"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 609 by 57: 609 × 57 = 34713.\n</reasoning>\nFinal Answer: 34713"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -48 = 294"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 19x = 342. Divide by 19: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 49, 66, 71, 34, 50, 66, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [34, 49, 50, 50, 57, 66, 66, 71]. Middle value(s) → median = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 90 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 90 × 85 = 7650.\n</reasoning>\nFinal Answer: 7650"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 52, 93, 70, 45, 12, 35, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 52: 1, 93: 1, 70: 1, 45: 1, 12: 1, 35: 1, 38: 1}. Most frequent: [6, 52, 93, 70, 45, 12, 35, 38].\n</reasoning>\nFinal Answer: [6, 52, 93,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 60 = 3600.\n</reasoning>\nFinal Answer: 3600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:12 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/12, so B = A × (12/25) = 14 × 12/25 = 6.72.\n</reasoning>\nFinal Answer: 6.72"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/1 * 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/1) × (14/8) = (14/8) = 7/4 after simplification.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 514 × 941"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 514 by 941: 514 × 941 = 483674.\n</reasoning>\nFinal Answer: 483674"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -38 = 542"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 29x = 580. Divide by 29: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 16 = -334"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 25x = -350. Divide by 25: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 is what percentage of 46?"
},
{
"role": "assistant",
"content": "<reasoning>\n(8/46) × 100 = 17.3913%.\n</reasoning>\nFinal Answer: 17.3913%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 108 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 108 × (1 - 40/100) = 108 × 0.6 = 64.8.\n</reasoning>\nFinal Answer: 64.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [45, 31, 17, 94, 51, 39, 7, 32, 59, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {45: 1, 31: 1, 17: 1, 94: 1, 51: 1, 39: 1, 7: 1, 32: 1, 59: 1, 79: 1}. Most frequent: [45, 31, 17, 94, 51, 39, 7, 32, 59, 79].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 11, 17] and B = [1, 2, 6, 7, 9, 10, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 11, 17].\n</reasoning>\nFinal Answer: [5, 11, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 183 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 183 × (1 + 3/100) = 183 × 1.03 = 188.49.\n</reasoning>\nFinal Answer: 188.49"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 7 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 3/10 = 0.3.\n</reasoning>\nFinal Answer: 0.3"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 15 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 15 = 255 worker-days. New time = 255 / 17 = 15.0 days.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 17 mod 670"
},
{
"role": "assistant",
"content": "<reasoning>\n17 mod 670: 17 = 670 × 0 + 17, so remainder = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:47 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/47, so B = A × (47/26) = 12 × 47/26 = 21.6923.\n</reasoning>\nFinal Answer: 21.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -107 + 359"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -107 and 359: -107 + 359 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 32 = 452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 30x = 420. Divide by 30: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 98 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 98 × 55 = 5390.\n</reasoning>\nFinal Answer: 5390"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 38 = -178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 24x = -216. Divide by 24: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 135 km/h. How far does it travel in 9 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 21/60 = 9.3500 hours. Distance = speed × time = 135 × 9.3500 = 1262.25 km.\n</reasoning>\nFinal Answer: 1262.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 35, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 35 + 37 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 160 km/h. How far does it travel in 7 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 23/60 = 7.3833 hours. Distance = speed × time = 160 × 7.3833 = 1181.3333 km.\n</reasoning>\nFinal Answer: 1181.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "26 is what percentage of 72?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/72) × 100 = 36.1111%.\n</reasoning>\nFinal Answer: 36.1111%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 * 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/3) × (4/7) = (64/21) = 64/21 after simplification.\n</reasoning>\nFinal Answer: 64/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44155 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44155 × 6 × 10 / 100 = 26493.0.\n</reasoning>\nFinal Answer: 26493.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 30 = 2580.\n</reasoning>\nFinal Answer: 2580"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (48)x + (180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 48² - 4×3×180 = 144. √discriminant = 12. x = (-(48) ± 12) / (2×3). Solutions: x = -10 or x = -6.\n</reasoning>\nFinal Answer: x = -10 or x = -6... | hard | [
"algebra",
"quadratic"
] |
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