messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 7:6 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/6, so B = A × (6/7) = 66 × 6/7 = 56.5714.\n</reasoning>\nFinal Answer: 56.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:19 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/19, so B = A × (19/3) = 91 × 19/3 = 576.3333.\n</reasoning>\nFinal Answer: 576.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 * 13/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/16) × (13/11) = (117/176) = 117/176 after simplification.\n</reasoning>\nFinal Answer: 117/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 17 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 17 × 15 = 255.\n</reasoning>\nFinal Answer: 255"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 + 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/10 + 20/13. Common denominator = 13. Result = 33/13.\n</reasoning>\nFinal Answer: 33/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 538 + -24"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 538 and -24: 538 + -24 = 514.\n</reasoning>\nFinal Answer: 514"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:21 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/21, so B = A × (21/37) = 53 × 21/37 = 30.0811.\n</reasoning>\nFinal Answer: 30.0811"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -460 × 754"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -460 by 754: -460 × 754 = -346840.\n</reasoning>\nFinal Answer: -346840"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 22 * 12 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×12=264, then 45+264-33=276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 20/1 * 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/1) × (9/18) = (180/18) = 10 after simplification.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 31 = -172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 7x = -203. Divide by 7: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:25 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/25, so B = A × (25/28) = 16 × 25/28 = 14.2857.\n</reasoning>\nFinal Answer: 14.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 438."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 438 by smallest primes repeatedly: 438 = 2 × 3 × 73.\n</reasoning>\nFinal Answer: 2 × 3 × 73"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 65 × 773"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 65 by 773: 65 × 773 = 50245.\n</reasoning>\nFinal Answer: 50245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 156 apples and buys 83 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 156 + 83 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -834 ÷ -686"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -834 by -686. -834 ÷ -686 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 25 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(25,174) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 20, 80, 320, 1280]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 5 and ratio 4. Next term = 1280 × 4 = 5120.\n</reasoning>\nFinal Answer: 5120"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 / 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/2) ÷ (18/8) = (12/2) × (8/18) = 8/3.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 29 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 29 = 232 worker-days. New time = 232 / 2 = 116.0 days.\n</reasoning>\nFinal Answer: 116.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 - 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/14 - 5/1. LCD = 7. Result = -27/7.\n</reasoning>\nFinal Answer: -27/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 2, 56, 64, 48, 21, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 338/7 = 48.2857.\n</reasoning>\nFinal Answer: 48.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -483 ÷ -651"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -483 by -651. -483 ÷ -651 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:9 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/9, so B = A × (9/20) = 65 × 9/20 = 29.25.\n</reasoning>\nFinal Answer: 29.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [34, 41, 48, 55, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 34 and common difference 7. Next term = 62 + 7 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "191 is what percentage of 310?"
},
{
"role": "assistant",
"content": "<reasoning>\n(191/310) × 100 = 61.6129%.\n</reasoning>\nFinal Answer: 61.6129%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 14) * (38 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+14)=37, (38-26)=12, then 37×12=444.\n</reasoning>\nFinal Answer: 444"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 18) * (39 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+18)=40, (39-40)=-1, then 40×-1=-40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 35, 15, 76, 69, 10, 46, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 417/8 = 52.125.\n</reasoning>\nFinal Answer: 52.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 51, 85, 17, 63, 16, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 17, 51, 63, 85, 85, 95]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 15 = 889"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 19x = 874. Divide by 19: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 62?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 62 = (65/100) × 62 = 40.3.\n</reasoning>\nFinal Answer: 40.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 9, 92, 34, 72, 9, 86, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 9, 34, 67, 72, 83, 86, 92]. Middle value(s) → median = 69.5.\n</reasoning>\nFinal Answer: 69.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48395 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48395 × 6 × 10 / 100 = 29037.0.\n</reasoning>\nFinal Answer: 29037.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -412 + 58"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -412 and 58: -412 + 58 = -354.\n</reasoning>\nFinal Answer: -354"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 37 * 35 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×35=1295, then 50+1295-34=1311.\n</reasoning>\nFinal Answer: 1311"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4833. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4833 × 12/100 = 579.96. Total = 4833 + 579.96 = 5412.96.\n</reasoning>\nFinal Answer: 5412.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 97 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(97,37) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 781 ÷ 55"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 781 by 55. 781 ÷ 55 = 14 (integer division).\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 2 * 4 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×4=8, then 44+8-7=45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 3% of 1000?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 1000 = (3/100) × 1000 = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 + 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/16 + 13/7. Common denominator = 56. Result = 111/56.\n</reasoning>\nFinal Answer: 111/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 - 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/2 - 18/14. LCD = 7. Result = 19/7.\n</reasoning>\nFinal Answer: 19/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 * 12/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/18) × (12/2) = (144/36) = 4 after simplification.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 is what percentage of 42?"
},
{
"role": "assistant",
"content": "<reasoning>\n(6/42) × 100 = 14.2857%.\n</reasoning>\nFinal Answer: 14.2857%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 9, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (47-1)×9 = 9 + 414 = 423.\n</reasoning>\nFinal Answer: 423"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 13, 15, 17] and B = [2, 5, 11, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2].\n</reasoning>\nFinal Answer: [2]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×6)/6 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 3, 74, 78, 21, 68, 7, 8, 91, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 3 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 9 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 22/60 = 9.3667 hours. Distance = speed × time = 72 × 9.3667 = 674.4 km.\n</reasoning>\nFinal Answer: 674.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 * 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/20) × (17/4) = (340/80) = 17/4 after simplification.\n</reasoning>\nFinal Answer: 17/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 703 km apart. Their speeds are 86 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+41=127 km/h. Time = 703/127 = 5.5354 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10925 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10925 × 17 × 3 / 100 = 5571.75.\n</reasoning>\nFinal Answer: 5571.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 155 km apart. Their speeds are 113 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+95=208 km/h. Time = 155/208 = 0.7452 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 33 = 1155.0.\n</reasoning>\nFinal Answer: 1155.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 89, 18, 55, 55, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 18, 55, 55, 86, 89]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 707 ÷ 516"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 707 by 516. 707 ÷ 516 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 459 - 298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 298 from 459: 459 - 298 = 161.\n</reasoning>\nFinal Answer: 161"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -31 = 293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 18x = 324. Divide by 18: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 40, 92, 16, 38, 19, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 40: 1, 92: 1, 16: 1, 38: 1, 19: 1, 96: 1}. Most frequent: [26, 40, 92, 16, 38, 19, 96].\n</reasoning>\nFinal Answer: [26, 40, 92, 16, 38, 19... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 182 apples and buys 186 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 182 + 186 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 48, 89, 6, 52, 38, 40, 35, 35, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 33, 35, 35, 38, 40, 48, 52, 89, 97]. Middle value(s) → median = 39.0.\n</reasoning>\nFinal Answer: 39.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -25 = 151"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 16x = 176. Divide by 16: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 / 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/9) ÷ (5/5) = (20/9) × (5/5) = 20/9.\n</reasoning>\nFinal Answer: 20/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 516 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 516 × (1 + 65/100) = 516 × 1.65 = 851.4.\n</reasoning>\nFinal Answer: 851.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 4) * (2 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+4)=43, (2-28)=-26, then 43×-26=-1118.\n</reasoning>\nFinal Answer: -1118"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/14 * 14/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/14) × (14/7) = (42/98) = 3/7 after simplification.\n</reasoning>\nFinal Answer: 3/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 / 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/19) ÷ (19/13) = (1/19) × (13/19) = 13/361.\n</reasoning>\nFinal Answer: 13/361"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 9) * (50 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+9)=32, (50-17)=33, then 32×33=1056.\n</reasoning>\nFinal Answer: 1056"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:3 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/3, so B = A × (3/41) = 8 × 3/41 = 0.5854.\n</reasoning>\nFinal Answer: 0.5854"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 2 * 24 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×24=48, then 26+48-2=72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -40 = 680"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 30x = 720. Divide by 30: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 / 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/13) ÷ (12/18) = (11/13) × (18/12) = 33/26.\n</reasoning>\nFinal Answer: 33/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -210 × -270"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -210 by -270: -210 × -270 = 56700.\n</reasoning>\nFinal Answer: 56700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-30)x + (112) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×2×112 = 4. √discriminant = 2. x = (-(-30) ± 2) / (2×2). Solutions: x = 8 or x = 7.\n</reasoning>\nFinal Answer: x = 8 or x = 7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 718 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 718 × (1 - 40/100) = 718 × 0.6 = 430.8.\n</reasoning>\nFinal Answer: 430.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 30% of 222?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 222 = (30/100) × 222 = 66.6.\n</reasoning>\nFinal Answer: 66.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/16 / 19/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/16) ÷ (19/16) = (4/16) × (16/19) = 4/19.\n</reasoning>\nFinal Answer: 4/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [4, 38, 63, 84, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {4: 1, 38: 1, 63: 1, 84: 1, 6: 1}. Most frequent: [4, 38, 63, 84, 6].\n</reasoning>\nFinal Answer: [4, 38, 63, 84, 6]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 46 and 115."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(46,115) = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 64 km/h. How far does it travel in 6 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 28/60 = 6.4667 hours. Distance = speed × time = 64 × 6.4667 = 413.8667 km.\n</reasoning>\nFinal Answer: 413.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:10 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/10, so B = A × (10/11) = 17 × 10/11 = 15.4545.\n</reasoning>\nFinal Answer: 15.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 12, 14, 16, 18] and B = [6, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 6, 10, 12, 14, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [3, 6, 10, 12, 14, 16, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 68, 71, 1, 49, 98, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 1 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/3 - 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/3 - 14/5. LCD = 15. Result = 58/15.\n</reasoning>\nFinal Answer: 58/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 945 mod -715"
},
{
"role": "assistant",
"content": "<reasoning>\n945 mod -715: 945 = -715 × -2 + -485, so remainder = -485.\n</reasoning>\nFinal Answer: -485"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 6, and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 6 + 11 = 23.\n</reasoning>\nFinal Answer: 23"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 17% of 278?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 278 = (17/100) × 278 = 47.26.\n</reasoning>\nFinal Answer: 47.26"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 262 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 262 × (1 + 45/100) = 262 × 1.45 = 379.9.\n</reasoning>\nFinal Answer: 379.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 178 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 178 × (1 - 15/100) = 178 × 0.85 = 151.3.\n</reasoning>\nFinal Answer: 151.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 964 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 964 × (1 + 30/100) = 964 × 1.3 = 1253.2.\n</reasoning>\nFinal Answer: 1253.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 29, 31, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 29 + 31 + 33 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 9 + 7 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×9=396 and 7×23=161, then add: 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -10 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 5x = 90. Divide by 5: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 49 * 42 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×42=2058, then 9+2058-14=2053.\n</reasoning>\nFinal Answer: 2053"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -312 × -910"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -312 by -910: -312 × -910 = 283920.\n</reasoning>\nFinal Answer: 283920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/15 / 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/15) ÷ (12/5) = (2/15) × (5/12) = 1/18.\n</reasoning>\nFinal Answer: 1/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 51, 29, 82, 84, 99, 65, 87, 93, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 2 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 94 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 94 × 2 = 94.0.\n</reasoning>\nFinal Answer: 94.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 30 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 30 = 90 worker-days. New time = 90 / 14 = 6.4286 days.\n</reasoning>\nFinal Answer: 6.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
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