messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 8 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 10/60 = 8.1667 hours. Distance = speed × time = 186 × 8.1667 = 1519.0 km.\n</reasoning>\nFinal Answer: 1519.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 224 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 224 × (1 + 7/100) = 224 × 1.07 = 239.68.\n</reasoning>\nFinal Answer: 239.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 + 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/1 + 5/9. Common denominator = 9. Result = 176/9.\n</reasoning>\nFinal Answer: 176/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 58 = 1740.\n</reasoning>\nFinal Answer: 1740"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹413. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 413 × 28/100 = 115.64. Total = 413 + 115.64 = 528.64.\n</reasoning>\nFinal Answer: 528.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 67 = 3149.\n</reasoning>\nFinal Answer: 3149"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -283 mod 388"
},
{
"role": "assistant",
"content": "<reasoning>\n-283 mod 388: -283 = 388 × -1 + 105, so remainder = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -938 - 398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 398 from -938: -938 - 398 = -1336.\n</reasoning>\nFinal Answer: -1336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -966 + 622"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -966 and 622: -966 + 622 = -344.\n</reasoning>\nFinal Answer: -344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 772 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 772 × (1 - 40/100) = 772 × 0.6 = 463.2.\n</reasoning>\nFinal Answer: 463.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 796 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 796 × (1 - 80/100) = 796 × 0.19999999999999996 = 159.2.\n</reasoning>\nFinal Answer: 159.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -20 = -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 22x = -44. Divide by 22: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [62, 66, 50, 43, 7, 89, 64, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {62: 1, 66: 1, 50: 1, 43: 1, 7: 1, 89: 1, 64: 1, 27: 1}. Most frequent: [62, 66, 50, 43, 7, 89, 64, 27].\n</reasoning>\nFinal Answer: [62, 66, 50... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 34 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 25+1156-41=1140.\n</reasoning>\nFinal Answer: 1140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 14, 19, 93, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 14 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -44 = -6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 1x = 38. Divide by 1: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 890 - 163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 163 from 890: 890 - 163 = 727.\n</reasoning>\nFinal Answer: 727"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 19, 16, 34, 65, 49, 26, 78, 73, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 19: 1, 16: 1, 34: 1, 65: 1, 49: 1, 26: 1, 78: 1, 73: 1, 69: 1}. Most frequent: [89, 19, 16, 34, 65, 49, 26, 78, 73, 69].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 11 + 35 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×11=286 and 35×30=1050, then add: 1336.\n</reasoning>\nFinal Answer: 1336"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 21 * 25 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×25=525, then 35+525-10=550.\n</reasoning>\nFinal Answer: 550"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹163. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 163 × 12/100 = 19.56. Total = 163 + 19.56 = 182.56.\n</reasoning>\nFinal Answer: 182.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "201 is what percentage of 268?"
},
{
"role": "assistant",
"content": "<reasoning>\n(201/268) × 100 = 75.0%.\n</reasoning>\nFinal Answer: 75.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 38, 14, 62, 54, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 267/6 = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -775 + 756"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -775 and 756: -775 + 756 = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -931 × -170"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -931 by -170: -931 × -170 = 158270.\n</reasoning>\nFinal Answer: 158270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 22 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 22 = 440 worker-days. New time = 440 / 10 = 44.0 days.\n</reasoning>\nFinal Answer: 44.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 19, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (39-1)×19 = 35 + 722 = 757.\n</reasoning>\nFinal Answer: 757"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 332 mod 804"
},
{
"role": "assistant",
"content": "<reasoning>\n332 mod 804: 332 = 804 × 0 + 332, so remainder = 332.\n</reasoning>\nFinal Answer: 332"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2242 at 10% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2242 × 10 × 4 / 100 = 896.8.\n</reasoning>\nFinal Answer: 896.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 * 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/7) × (3/3) = (12/21) = 4/7 after simplification.\n</reasoning>\nFinal Answer: 4/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 * 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/5) × (20/11) = (140/55) = 28/11 after simplification.\n</reasoning>\nFinal Answer: 28/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:32 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/32, so B = A × (32/40) = 45 × 32/40 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 29 + 7 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×29=232 and 7×47=329, then add: 561.\n</reasoning>\nFinal Answer: 561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 9 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 7/16 = 0.4375.\n</reasoning>\nFinal Answer: 0.4375"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×40)/1 = 1880.\n</reasoning>\nFinal Answer: 1880"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [10, 97, 72, 60, 85, 56, 1, 63, 24, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 1 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 32 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 27+1024-39=1012.\n</reasoning>\nFinal Answer: 1012"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 47 * 7 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×7=329, then 3+329-39=293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [1, 29, 64, 91, 78, 73, 21, 81, 26, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {1: 1, 29: 1, 64: 1, 91: 1, 78: 1, 73: 1, 21: 1, 81: 1, 26: 1, 10: 1}. Most frequent: [1, 29, 64, 91, 78, 73, 21, 81, 26, 10].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38679 at 19% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38679 × 19 × 8 / 100 = 58792.08.\n</reasoning>\nFinal Answer: 58792.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 222 mod 401"
},
{
"role": "assistant",
"content": "<reasoning>\n222 mod 401: 222 = 401 × 0 + 222, so remainder = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 17, 26, 35, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 9. Next term = 44 + 9 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 45% of 477?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 477 = (45/100) × 477 = 214.65.\n</reasoning>\nFinal Answer: 214.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [78, 23, 8, 41, 61, 35, 91, 37, 69, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 465/10 = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [15, 75, 61, 37, 90, 18, 87, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {15: 1, 75: 1, 61: 1, 37: 1, 90: 1, 18: 1, 87: 1, 55: 1}. Most frequent: [15, 75, 61, 37, 90, 18, 87, 55].\n</reasoning>\nFinal Answer: [15, 75,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 6, 51, 20, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 150/5 = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 / 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/3) ÷ (1/7) = (6/3) × (7/1) = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -355 mod 215"
},
{
"role": "assistant",
"content": "<reasoning>\n-355 mod 215: -355 = 215 × -2 + 75, so remainder = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [51, 72, 100, 81, 86, 65, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {51: 1, 72: 1, 100: 1, 81: 1, 86: 1, 65: 1, 10: 1}. Most frequent: [51, 72, 100, 81, 86, 65, 10].\n</reasoning>\nFinal Answer: [51, 72, 100, 81, 86... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 6 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 1/7 = 0.1429.\n</reasoning>\nFinal Answer: 0.1429"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 272 km apart. Their speeds are 74 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+112=186 km/h. Time = 272/186 = 1.4624 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 52 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 52 × 85 = 4420.\n</reasoning>\nFinal Answer: 4420"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -15 = 835"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 17x = 850. Divide by 17: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 47 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+47) × 9 = 400.5.\n</reasoning>\nFinal Answer: 400.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 22, 70, 6, 82, 94, 30, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 6, 22, 30, 65, 70, 82, 94]. Middle value(s) → median = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9427 at 6% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9427 × 6 × 3 / 100 = 1696.86.\n</reasoning>\nFinal Answer: 1696.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×33)/3 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 408 mod 617"
},
{
"role": "assistant",
"content": "<reasoning>\n408 mod 617: 408 = 617 × 0 + 408, so remainder = 408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 572 × -196"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 572 by -196: 572 × -196 = -112112.\n</reasoning>\nFinal Answer: -112112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 34 = 832"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 19x = 798. Divide by 19: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 14, 15] and B = [12, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 12, 15, 17].\n</reasoning>\nFinal Answer: [1, 3, 12, 15, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/15 - 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/15 - 18/7. LCD = 21. Result = -26/21.\n</reasoning>\nFinal Answer: -26/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -239 - 359"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 359 from -239: -239 - 359 = -598.\n</reasoning>\nFinal Answer: -598"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 38 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 1x = -39. Divide by 1: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 43 = 893"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 25x = 850. Divide by 25: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 20, 37, 54, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 17. Next term = 71 + 17 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 30 = 54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 4x = 24. Divide by 4: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 51 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 51 × 18 = 918.\n</reasoning>\nFinal Answer: 918"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -2 = -135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 7x = -133. Divide by 7: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 48 + 30 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×48=1824 and 30×37=1110, then add: 2934.\n</reasoning>\nFinal Answer: 2934"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37508 at 18% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37508 × 18 × 10 / 100 = 67514.4.\n</reasoning>\nFinal Answer: 67514.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 71, 98, 7, 53, 93, 80, 27, 49, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 7, 27, 49, 53, 68, 71, 80, 93, 98]. Middle value(s) → median = 60.5.\n</reasoning>\nFinal Answer: 60.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-45)x + (150) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -45² - 4×3×150 = 225. √discriminant = 15. x = (-(-45) ± 15) / (2×3). Solutions: x = 5 or x = 10.\n</reasoning>\nFinal Answer: x = 5 or x = 10"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -123 × 458"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -123 by 458: -123 × 458 = -56334.\n</reasoning>\nFinal Answer: -56334"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 181 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(181,22) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹421. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 421 × 5/100 = 21.05. Total = 421 + 21.05 = 442.05.\n</reasoning>\nFinal Answer: 442.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 449 mod -892"
},
{
"role": "assistant",
"content": "<reasoning>\n449 mod -892: 449 = -892 × -1 + -443, so remainder = -443.\n</reasoning>\nFinal Answer: -443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 10, 12, 15, 18, 19] and B = [5, 6, 10, 11, 12, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 6, 7, 11, 14, 15, 18, 19].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 100% of 917?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 917 = (100/100) × 917 = 917.0.\n</reasoning>\nFinal Answer: 917.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 443."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 443 by smallest primes repeatedly: 443 = 443.\n</reasoning>\nFinal Answer: 443"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 17 = 752"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 21x = 735. Divide by 21: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 - 20/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/8 - 20/17. LCD = 68. Result = 39/68.\n</reasoning>\nFinal Answer: 39/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 6, 16, 12, 85, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 6: 1, 16: 1, 12: 1, 85: 1, 23: 1}. Most frequent: [73, 6, 16, 12, 85, 23].\n</reasoning>\nFinal Answer: [73, 6, 16, 12, 85, 23]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 33 and 145."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(33,145) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 10 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 10 = 190 worker-days. New time = 190 / 6 = 31.6667 days.\n</reasoning>\nFinal Answer: 31.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 5 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 5 = 60 worker-days. New time = 60 / 4 = 15.0 days.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 1 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 1/2 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 / 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/19) ÷ (19/17) = (6/19) × (17/19) = 102/361.\n</reasoning>\nFinal Answer: 102/361"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 47 = 176"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 3x = 129. Divide by 3: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 55, 26, 43, 64, 11, 56, 32, 77, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 11 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -798 + 535"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -798 and 535: -798 + 535 = -263.\n</reasoning>\nFinal Answer: -263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 28 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+28) × 50 = 825.0.\n</reasoning>\nFinal Answer: 825.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [6, 9, 10, 14, 17, 18, 19] and B = [4, 6, 11, 13, 15, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 9, 10, 11, 13, 14, 15, 16, 17, 19].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 565 ÷ -659"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 565 by -659. 565 ÷ -659 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 9 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 6+81-17=70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 49 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+49) × 9 = 378.0.\n</reasoning>\nFinal Answer: 378.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:15 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/15, so B = A × (15/34) = 17 × 15/34 = 7.5.\n</reasoning>\nFinal Answer: 7.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 40, 28, 4, 56, 84, 12, 80, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 40: 1, 28: 1, 4: 1, 56: 1, 84: 1, 12: 1, 80: 1, 76: 1}. Most frequent: [47, 40, 28, 4, 56, 84, 12, 80, 76].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 * 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/14) × (18/5) = (288/70) = 144/35 after simplification.\n</reasoning>\nFinal Answer: 144/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 672 ÷ 489"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 672 by 489. 672 ÷ 489 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
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