messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [76, 99, 89, 12, 53, 34, 85, 79, 35, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 99: 1, 89: 1, 12: 1, 53: 1, 34: 1, 85: 1, 79: 1, 35: 1, 69: 1}. Most frequent: [76, 99, 89, 12, 53, 34, 85, 79, 35, 69].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -660 ÷ 251"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -660 by 251. -660 ÷ 251 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 843 km apart. Their speeds are 42 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+86=128 km/h. Time = 843/128 = 6.5859 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -200 × -348"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -200 by -348: -200 × -348 = 69600.\n</reasoning>\nFinal Answer: 69600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 * 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/13) × (14/13) = (238/169) = 238/169 after simplification.\n</reasoning>\nFinal Answer: 238/169"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 24 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 24 = 360 worker-days. New time = 360 / 15 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 49 = -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 30x = -90. Divide by 30: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 106 × 511"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 106 by 511: 106 × 511 = 54166.\n</reasoning>\nFinal Answer: 54166"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 14 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 14 = 168 worker-days. New time = 168 / 12 = 14.0 days.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -149 × -594"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -149 by -594: -149 × -594 = 88506.\n</reasoning>\nFinal Answer: 88506"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 97, 98, 18, 46, 29, 48, 38, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 18 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 34 = 895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 21x = 861. Divide by 21: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -712 × 771"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -712 by 771: -712 × 771 = -548952.\n</reasoning>\nFinal Answer: -548952"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 219 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 219 × (1 - 20/100) = 219 × 0.8 = 175.2.\n</reasoning>\nFinal Answer: 175.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 203 mod -526"
},
{
"role": "assistant",
"content": "<reasoning>\n203 mod -526: 203 = -526 × -1 + -323, so remainder = -323.\n</reasoning>\nFinal Answer: -323"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21975 at 12% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21975 × 12 × 6 / 100 = 15822.0.\n</reasoning>\nFinal Answer: 15822.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 577 km apart. Their speeds are 87 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+67=154 km/h. Time = 577/154 = 3.7468 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 30% of 434?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 434 = (30/100) × 434 = 130.2.\n</reasoning>\nFinal Answer: 130.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 53, 31, 15, 21, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 15, 21, 31, 44, 53]. Middle value(s) → median = 26.0.\n</reasoning>\nFinal Answer: 26.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹2616. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2616 × 18/100 = 470.88. Total = 2616 + 470.88 = 3086.88.\n</reasoning>\nFinal Answer: 3086.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-60)x + (100) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -60² - 4×5×100 = 1600. √discriminant = 40. x = (-(-60) ± 40) / (2×5). Solutions: x = 10 or x = 2.\n</reasoning>\nFinal Answer: x = 10 or x = 2... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Ravi has 140 apples and buys 185 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 140 + 185 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:8 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/8, so B = A × (8/17) = 57 × 8/17 = 26.8235.\n</reasoning>\nFinal Answer: 26.8235"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 14 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 13+196-49=160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 915 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 915 × (1 - 17/100) = 915 × 0.83 = 759.45.\n</reasoning>\nFinal Answer: 759.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 34 + 50 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×34=680 and 50×11=550, then add: 1230.\n</reasoning>\nFinal Answer: 1230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/3 + 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/3 + 20/8. Common denominator = 6. Result = 29/6.\n</reasoning>\nFinal Answer: 29/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+90) = 2×121 = 242.\n</reasoning>\nFinal Answer: 242"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 * 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/19) × (5/19) = (50/361) = 50/361 after simplification.\n</reasoning>\nFinal Answer: 50/361"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 60, 10, 48, 18, 25, 3, 12, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 214/9 = 23.7778.\n</reasoning>\nFinal Answer: 23.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 660 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 660 × (1 - 40/100) = 660 × 0.6 = 396.0.\n</reasoning>\nFinal Answer: 396.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 98, 34, 48, 41, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 249/6 = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -776 - -149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -149 from -776: -776 - -149 = -627.\n</reasoning>\nFinal Answer: -627"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [51, 49, 97, 23, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 23 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 722 mod -311"
},
{
"role": "assistant",
"content": "<reasoning>\n722 mod -311: 722 = -311 × -3 + -211, so remainder = -211.\n</reasoning>\nFinal Answer: -211"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 23, 35, 47, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 12. Next term = 59 + 12 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 32 * 35 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×35=1120, then 41+1120-22=1139.\n</reasoning>\nFinal Answer: 1139"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 76, 82, 72, 30, 37, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 76: 1, 82: 1, 72: 1, 30: 1, 37: 1, 9: 1}. Most frequent: [26, 76, 82, 72, 30, 37, 9].\n</reasoning>\nFinal Answer: [26, 76, 82, 72, 30, 37, 9... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 45 = 1575.0.\n</reasoning>\nFinal Answer: 1575.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -37 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 15x = 135. Divide by 15: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 45, 13, 69, 73, 72, 45, 55, 63, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 590/10 = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 79 km/h. How far does it travel in 12 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 2/60 = 12.0333 hours. Distance = speed × time = 79 × 12.0333 = 950.6333 km.\n</reasoning>\nFinal Answer: 950.6333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 738 × -479"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 738 by -479: 738 × -479 = -353502.\n</reasoning>\nFinal Answer: -353502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 789 × -831"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 789 by -831: 789 × -831 = -655659.\n</reasoning>\nFinal Answer: -655659"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -48 = -391"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 7x = -343. Divide by 7: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 81 = 1134.0.\n</reasoning>\nFinal Answer: 1134.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 9 + 2 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×9=450 and 2×30=60, then add: 510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -9 = -625"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 28x = -616. Divide by 28: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 24 * 49 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×49=1176, then 32+1176-7=1201.\n</reasoning>\nFinal Answer: 1201"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 37 = 373"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 16x = 336. Divide by 16: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -817 ÷ -907"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -817 by -907. -817 ÷ -907 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -913 - 273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 273 from -913: -913 - 273 = -1186.\n</reasoning>\nFinal Answer: -1186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:13 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/13, so B = A × (13/33) = 14 × 13/33 = 5.5152.\n</reasoning>\nFinal Answer: 5.5152"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 3% of 941?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 941 = (3/100) × 941 = 28.23.\n</reasoning>\nFinal Answer: 28.23"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 984?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 984 = (17/100) × 984 = 167.28.\n</reasoning>\nFinal Answer: 167.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [56, 6, 57, 80, 8, 53, 98, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 368/8 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 46, 56, 66, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 10. Next term = 76 + 10 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 22, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 22 + 22 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -829 - 588"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 588 from -829: -829 - 588 = -1417.\n</reasoning>\nFinal Answer: -1417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -918 mod -171"
},
{
"role": "assistant",
"content": "<reasoning>\n-918 mod -171: -918 = -171 × 5 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:35 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/35, so B = A × (35/21) = 96 × 35/21 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 24 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 24 × 68 = 1632.\n</reasoning>\nFinal Answer: 1632"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/17 / 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/17) ÷ (13/12) = (13/17) × (12/13) = 12/17.\n</reasoning>\nFinal Answer: 12/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 19 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 19 = 247 worker-days. New time = 247 / 6 = 41.1667 days.\n</reasoning>\nFinal Answer: 41.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -21 = -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 11x = -198. Divide by 11: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 393 + -34"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 393 and -34: 393 + -34 = 359.\n</reasoning>\nFinal Answer: 359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 6 + 38 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×6=30 and 38×33=1254, then add: 1284.\n</reasoning>\nFinal Answer: 1284"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1103. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1103 × 28/100 = 308.84. Total = 1103 + 308.84 = 1411.84.\n</reasoning>\nFinal Answer: 1411.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -26 = -66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 5x = -40. Divide by 5: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 167 ÷ 568"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 167 by 568. 167 ÷ 568 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 40 = -312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 16x = -352. Divide by 16: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 881?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 881 = (65/100) × 881 = 572.65.\n</reasoning>\nFinal Answer: 572.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 25 = 200.0.\n</reasoning>\nFinal Answer: 200.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:22 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/22, so B = A × (22/23) = 97 × 22/23 = 92.7826.\n</reasoning>\nFinal Answer: 92.7826"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 9 = -391"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 20x = -400. Divide by 20: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 927 km apart. Their speeds are 91 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+74=165 km/h. Time = 927/165 = 5.6182 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -16 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 4x = -96. Divide by 4: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 92, 58, 38, 59, 96, 68, 83, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 92: 1, 58: 1, 38: 1, 59: 1, 96: 1, 68: 1, 83: 1, 12: 1}. Most frequent: [54, 92, 58, 38, 59, 96, 68, 83, 12].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32190 at 11% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32190 × 11 × 8 / 100 = 28327.2.\n</reasoning>\nFinal Answer: 28327.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 58 = 1160.0.\n</reasoning>\nFinal Answer: 1160.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 13, 15] and B = [5, 11, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 11, 13, 14, 15, 19].\n</reasoning>\nFinal Answer: [2, 5, 11... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -770 + -83"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -770 and -83: -770 + -83 = -853.\n</reasoning>\nFinal Answer: -853"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 * 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/3) × (15/17) = (270/51) = 90/17 after simplification.\n</reasoning>\nFinal Answer: 90/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 221 + 452"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 221 and 452: 221 + 452 = 673.\n</reasoning>\nFinal Answer: 673"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 58 = 2117.0.\n</reasoning>\nFinal Answer: 2117.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -33 = 67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 20x = 100. Divide by 20: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -9 = 69"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 13x = 78. Divide by 13: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 462 km apart. Their speeds are 55 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+102=157 km/h. Time = 462/157 = 2.9427 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 + 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/12 + 18/13. Common denominator = 78. Result = 173/78.\n</reasoning>\nFinal Answer: 173/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -880 - -185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -185 from -880: -880 - -185 = -695.\n</reasoning>\nFinal Answer: -695"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 340 mod 734"
},
{
"role": "assistant",
"content": "<reasoning>\n340 mod 734: 340 = 734 × 0 + 340, so remainder = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 7 = 196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 21x = 189. Divide by 21: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 39 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 39 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 8 * 24 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×24=192, then 24+192-39=177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:45 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/45, so B = A × (45/26) = 98 × 45/26 = 169.6154.\n</reasoning>\nFinal Answer: 169.6154"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "4 is what percentage of 134?"
},
{
"role": "assistant",
"content": "<reasoning>\n(4/134) × 100 = 2.9851%.\n</reasoning>\nFinal Answer: 2.9851%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -626 × 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -626 by 42: -626 × 42 = -26292.\n</reasoning>\nFinal Answer: -26292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 4 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 4 × 7 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 42) * (5 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+42)=54, (5-29)=-24, then 54×-24=-1296.\n</reasoning>\nFinal Answer: -1296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+53) = 2×141 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | easy | [
"geometry",
"perimeter"
] |
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