messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [22, 21, 26, 34, 33, 2, 14, 5, 15, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 231/10 = 23.1.\n</reasoning>\nFinal Answer: 23.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 / 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/5) ÷ (19/8) = (15/5) × (8/19) = 24/19.\n</reasoning>\nFinal Answer: 24/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -565 ÷ -799"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -565 by -799. -565 ÷ -799 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -5 = 715"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 24x = 720. Divide by 24: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 19, 81, 69, 66, 36, 67, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 19, 26, 36, 66, 67, 69, 81]. Middle value(s) → median = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 9 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 16/60 = 9.2667 hours. Distance = speed × time = 65 × 9.2667 = 602.3333 km.\n</reasoning>\nFinal Answer: 602.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 815 + 239"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 815 and 239: 815 + 239 = 1054.\n</reasoning>\nFinal Answer: 1054"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 241 mod 707"
},
{
"role": "assistant",
"content": "<reasoning>\n241 mod 707: 241 = 707 × 0 + 241, so remainder = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -35 = 172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 9x = 207. Divide by 9: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:38 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/38, so B = A × (38/11) = 95 × 38/11 = 328.1818.\n</reasoning>\nFinal Answer: 328.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 23 = 391.0.\n</reasoning>\nFinal Answer: 391.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 49 * 30 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×30=1470, then 23+1470-4=1489.\n</reasoning>\nFinal Answer: 1489"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 15 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+15) × 18 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 10 * 7 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×7=70, then 48+70-40=78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 733 mod 392"
},
{
"role": "assistant",
"content": "<reasoning>\n733 mod 392: 733 = 392 × 1 + 341, so remainder = 341.\n</reasoning>\nFinal Answer: 341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 2, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (27-1)×2 = 17 + 52 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -24 = 240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 11x = 264. Divide by 11: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:36 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/36, so B = A × (36/19) = 49 × 36/19 = 92.8421.\n</reasoning>\nFinal Answer: 92.8421"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 13 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 22+169-5=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32401 at 7% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32401 × 7 × 9 / 100 = 20412.63.\n</reasoning>\nFinal Answer: 20412.63"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹820. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 820 × 12/100 = 98.4. Total = 820 + 98.4 = 918.4.\n</reasoning>\nFinal Answer: 918.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:30 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/30, so B = A × (30/44) = 49 × 30/44 = 33.4091.\n</reasoning>\nFinal Answer: 33.4091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -262 + 546"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -262 and 546: -262 + 546 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 39 = 1930.5.\n</reasoning>\nFinal Answer: 1930.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 34 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 1x = 16. Divide by 1: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "495 is what percentage of 685?"
},
{
"role": "assistant",
"content": "<reasoning>\n(495/685) × 100 = 72.2628%.\n</reasoning>\nFinal Answer: 72.2628%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 * 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/18) × (3/14) = (39/252) = 13/84 after simplification.\n</reasoning>\nFinal Answer: 13/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 12) * (50 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+12)=46, (50-28)=22, then 46×22=1012.\n</reasoning>\nFinal Answer: 1012"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:30 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/30, so B = A × (30/50) = 82 × 30/50 = 49.2.\n</reasoning>\nFinal Answer: 49.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2014 at 13% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2014 × 13 × 3 / 100 = 785.46.\n</reasoning>\nFinal Answer: 785.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -43 = -691"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 18x = -648. Divide by 18: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 9 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 9/13 = 0.6923.\n</reasoning>\nFinal Answer: 0.6923"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 738 km apart. Their speeds are 98 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+84=182 km/h. Time = 738/182 = 4.0549 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12239 at 13% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12239 × 13 × 6 / 100 = 9546.42.\n</reasoning>\nFinal Answer: 9546.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 193 apples and buys 117 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 193 + 117 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 33 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(33+33) = 2×66 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -648 + -812"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -648 and -812: -648 + -812 = -1460.\n</reasoning>\nFinal Answer: -1460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 9 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 9 = 117 worker-days. New time = 117 / 15 = 7.8 days.\n</reasoning>\nFinal Answer: 7.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 68 = 1292.\n</reasoning>\nFinal Answer: 1292"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 83 km/h. How far does it travel in 8 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 36/60 = 8.6000 hours. Distance = speed × time = 83 × 8.6000 = 713.8 km.\n</reasoning>\nFinal Answer: 713.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 685 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 685 × (1 + 3/100) = 685 × 1.03 = 705.55.\n</reasoning>\nFinal Answer: 705.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [42, 40, 96, 3, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 188/5 = 37.6.\n</reasoning>\nFinal Answer: 37.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 168 apples and buys 68 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 168 + 68 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 41 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+41) × 36 = 1314.0.\n</reasoning>\nFinal Answer: 1314.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 52 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 52 × (1 + 65/100) = 52 × 1.65 = 85.8.\n</reasoning>\nFinal Answer: 85.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 1 = -377"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 18x = -378. Divide by 18: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 + 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/20 + 19/6. Common denominator = 30. Result = 52/15.\n</reasoning>\nFinal Answer: 52/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 27, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 27 + 39 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 166 ÷ 976"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 166 by 976. 166 ÷ 976 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 22 = -68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 9x = -90. Divide by 9: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 14 apples and buys 121 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 14 + 121 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 32 = -488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 20x = -520. Divide by 20: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 32 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 38+1024-45=1017.\n</reasoning>\nFinal Answer: 1017"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 111 apples and buys 182 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 111 + 182 = 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 323 - 655"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 655 from 323: 323 - 655 = -332.\n</reasoning>\nFinal Answer: -332"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 * 11/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/19) × (11/8) = (55/152) = 55/152 after simplification.\n</reasoning>\nFinal Answer: 55/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:9 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/9, so B = A × (9/39) = 16 × 9/39 = 3.6923.\n</reasoning>\nFinal Answer: 3.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 45% of 843?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 843 = (45/100) × 843 = 379.35.\n</reasoning>\nFinal Answer: 379.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15092 at 14% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15092 × 14 × 10 / 100 = 21128.8.\n</reasoning>\nFinal Answer: 21128.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 13, 14] and B = [4, 6, 10, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 13, 14].\n</reasoning>\nFinal Answer: [8, 13, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 811 × 806"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 811 by 806: 811 × 806 = 653666.\n</reasoning>\nFinal Answer: 653666"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 28 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 28 = 168 worker-days. New time = 168 / 2 = 84.0 days.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 - 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/2 - 15/19. LCD = 19. Result = 99/19.\n</reasoning>\nFinal Answer: 99/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 35 * 36 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×36=1260, then 3+1260-38=1225.\n</reasoning>\nFinal Answer: 1225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 15, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (14-1)×15 = 22 + 195 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 17 and 88."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(17,88) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 22 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+22) × 13 = 416.0.\n</reasoning>\nFinal Answer: 416.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 32) * (37 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+32)=53, (37-27)=10, then 53×10=530.\n</reasoning>\nFinal Answer: 530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 * 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/10) × (11/10) = (187/100) = 187/100 after simplification.\n</reasoning>\nFinal Answer: 187/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 38 * 43 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×43=1634, then 17+1634-25=1626.\n</reasoning>\nFinal Answer: 1626"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 457 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 457 × (1 - 15/100) = 457 × 0.85 = 388.45.\n</reasoning>\nFinal Answer: 388.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 18, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (16-1)×18 = 39 + 270 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/12 / 12/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/12) ÷ (12/3) = (9/12) × (3/12) = 3/16.\n</reasoning>\nFinal Answer: 3/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (1)x + (-42) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 1² - 4×1×-42 = 169. √discriminant = 13. x = (-(1) ± 13) / (2×1). Solutions: x = 6 or x = -7.\n</reasoning>\nFinal Answer: x = 6 or x = -7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:47 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/47, so B = A × (47/17) = 15 × 47/17 = 41.4706.\n</reasoning>\nFinal Answer: 41.4706"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 21 apples and buys 111 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 21 + 111 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 18 = 1350.\n</reasoning>\nFinal Answer: 1350"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 9 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 29/60 = 9.4833 hours. Distance = speed × time = 150 × 9.4833 = 1422.5 km.\n</reasoning>\nFinal Answer: 1422.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [88, 43, 56, 61, 17, 22, 59, 51, 6, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {88: 1, 43: 1, 56: 1, 61: 1, 17: 1, 22: 1, 59: 1, 51: 1, 6: 1, 70: 1}. Most frequent: [88, 43, 56, 61, 17, 22, 59, 51, 6, 70].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [4, 15, 18, 19] and B = [1, 3, 4, 6, 8, 12, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 6, 8, 12, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 11, 19] and B = [5, 6, 8, 10, 11, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11].\n</reasoning>\nFinal Answer: [11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -66 × 504"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -66 by 504: -66 × 504 = -33264.\n</reasoning>\nFinal Answer: -33264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 31 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 31 × 59 = 1829.\n</reasoning>\nFinal Answer: 1829"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 930 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 930 × (1 + 60/100) = 930 × 1.6 = 1488.0.\n</reasoning>\nFinal Answer: 1488.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -17 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 13x = 13. Divide by 13: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -84 × 793"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -84 by 793: -84 × 793 = -66612.\n</reasoning>\nFinal Answer: -66612"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:33 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/33, so B = A × (33/7) = 82 × 33/7 = 386.5714.\n</reasoning>\nFinal Answer: 386.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 633 ÷ 528"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 633 by 528. 633 ÷ 528 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 33 = 1155.\n</reasoning>\nFinal Answer: 1155"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 22, 83, 30, 60, 89, 32, 88, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 452/9 = 50.2222.\n</reasoning>\nFinal Answer: 50.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 17 + 3 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×17=34 and 3×24=72, then add: 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 655 km apart. Their speeds are 71 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+114=185 km/h. Time = 655/185 = 3.5405 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 28 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 9x = 117. Divide by 9: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 389 mod -614"
},
{
"role": "assistant",
"content": "<reasoning>\n389 mod -614: 389 = -614 × -1 + -225, so remainder = -225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 - 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/2 - 13/3. LCD = 3. Result = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 2 = 884"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 18x = 882. Divide by 18: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 33 + 16 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×33=561 and 16×46=736, then add: 1297.\n</reasoning>\nFinal Answer: 1297"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 6 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 6 × (1 + 100/100) = 6 × 2.0 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 * 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/17) × (20/5) = (120/85) = 24/17 after simplification.\n</reasoning>\nFinal Answer: 24/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 21 + 14 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×21=42 and 14×26=364, then add: 406.\n</reasoning>\nFinal Answer: 406"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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