messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 23, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 23 + 30 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:19 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/19, so B = A × (19/29) = 86 × 19/29 = 56.3448.\n</reasoning>\nFinal Answer: 56.3448"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 901 mod -166"
},
{
"role": "assistant",
"content": "<reasoning>\n901 mod -166: 901 = -166 × -6 + -95, so remainder = -95.\n</reasoning>\nFinal Answer: -95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 145 km/h. How far does it travel in 8 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 30/60 = 8.5000 hours. Distance = speed × time = 145 × 8.5000 = 1232.5 km.\n</reasoning>\nFinal Answer: 1232.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 46 = 1346"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 26x = 1300. Divide by 26: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 - 5/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/15 - 5/14. LCD = 210. Result = 163/210.\n</reasoning>\nFinal Answer: 163/210"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/13 - 3/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/13 - 3/16. LCD = 208. Result = 217/208.\n</reasoning>\nFinal Answer: 217/208"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 34) * (10 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+34)=47, (10-2)=8, then 47×8=376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 17 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 17 × 45 = 765.\n</reasoning>\nFinal Answer: 765"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 + 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/16 + 20/7. Common denominator = 112. Result = 411/112.\n</reasoning>\nFinal Answer: 411/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 44) * (32 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+44)=45, (32-25)=7, then 45×7=315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 7 = -785"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 24x = -792. Divide by 24: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 15, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (48-1)×15 = 6 + 705 = 711.\n</reasoning>\nFinal Answer: 711"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -388 mod -430"
},
{
"role": "assistant",
"content": "<reasoning>\n-388 mod -430: -388 = -430 × 0 + -388, so remainder = -388.\n</reasoning>\nFinal Answer: -388"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 414 mod -876"
},
{
"role": "assistant",
"content": "<reasoning>\n414 mod -876: 414 = -876 × -1 + -462, so remainder = -462.\n</reasoning>\nFinal Answer: -462"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 9, 10, 13, 17, 18] and B = [2, 5, 9, 11, 13, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 9, 13].\n</reasoning>\nFinal Answer: [2, 9, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:33 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/33, so B = A × (33/45) = 57 × 33/45 = 41.8.\n</reasoning>\nFinal Answer: 41.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 40 = 293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 23x = 253. Divide by 23: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹443. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 443 × 28/100 = 124.04. Total = 443 + 124.04 = 567.04.\n</reasoning>\nFinal Answer: 567.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:14 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/14, so B = A × (14/47) = 88 × 14/47 = 26.2128.\n</reasoning>\nFinal Answer: 26.2128"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:45 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/45, so B = A × (45/30) = 8 × 45/30 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 4, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (20-1)×4 = 21 + 76 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 33, 4, 76, 16, 44, 89, 18, 83, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 498/10 = 49.8.\n</reasoning>\nFinal Answer: 49.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 100 = 8600.\n</reasoning>\nFinal Answer: 8600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 8, 34, 83, 5, 18, 51, 49, 52, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 5 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -744 × 570"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -744 by 570: -744 × 570 = -424080.\n</reasoning>\nFinal Answer: -424080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 31 = -86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 9x = -117. Divide by 9: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×50)/5 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 20, 69, 2, 9, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 20: 1, 69: 1, 2: 1, 9: 1, 56: 1}. Most frequent: [72, 20, 69, 2, 9, 56].\n</reasoning>\nFinal Answer: [72, 20, 69, 2, 9, 56]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 * 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/14) × (14/4) = (210/56) = 15/4 after simplification.\n</reasoning>\nFinal Answer: 15/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×7)/7 = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 3 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 3 × 53 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 595 + -813"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 595 and -813: 595 + -813 = -218.\n</reasoning>\nFinal Answer: -218"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 13, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (37-1)×13 = 10 + 468 = 478.\n</reasoning>\nFinal Answer: 478"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 - 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/5 - 5/8. LCD = 40. Result = 79/40.\n</reasoning>\nFinal Answer: 79/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 833 × -989"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 833 by -989: 833 × -989 = -823837.\n</reasoning>\nFinal Answer: -823837"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 25 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 25 = 400 worker-days. New time = 400 / 19 = 21.0526 days.\n</reasoning>\nFinal Answer: 21.0526"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 8 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 8 = 104 worker-days. New time = 104 / 12 = 8.6667 days.\n</reasoning>\nFinal Answer: 8.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 66 apples and buys 182 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 66 + 182 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 962 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 962 × (1 + 65/100) = 962 × 1.65 = 1587.3.\n</reasoning>\nFinal Answer: 1587.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 37 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 37 × 5 = 92.5.\n</reasoning>\nFinal Answer: 92.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3083. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3083 × 18/100 = 554.94. Total = 3083 + 554.94 = 3637.94.\n</reasoning>\nFinal Answer: 3637.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 10, 18] and B = [2, 4, 5, 8, 9, 12, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -427 ÷ 96"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -427 by 96. -427 ÷ 96 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:40 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/40, so B = A × (40/44) = 12 × 40/44 = 10.9091.\n</reasoning>\nFinal Answer: 10.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -825 - 622"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 622 from -825: -825 - 622 = -1447.\n</reasoning>\nFinal Answer: -1447"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 281 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 281 × (1 - 30/100) = 281 × 0.7 = 196.7.\n</reasoning>\nFinal Answer: 196.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 47 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 32+2209-42=2199.\n</reasoning>\nFinal Answer: 2199"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/4 / 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/4) ÷ (16/17) = (17/4) × (17/16) = 289/64.\n</reasoning>\nFinal Answer: 289/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 46 = -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 4x = -188. Divide by 4: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 10, 14, 15, 18] and B = [6, 7, 9, 11, 13, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19].\n</reasoning>\nFinal An... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 32, 92, 28, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 28 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:48 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/48, so B = A × (48/41) = 36 × 48/41 = 42.1463.\n</reasoning>\nFinal Answer: 42.1463"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 117 apples and buys 47 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 117 + 47 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 16 * 49 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×49=784, then 19+784-23=780.\n</reasoning>\nFinal Answer: 780"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32163 at 7% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32163 × 7 × 2 / 100 = 4502.82.\n</reasoning>\nFinal Answer: 4502.82"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 - 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/19 - 1/17. LCD = 323. Result = 151/323.\n</reasoning>\nFinal Answer: 151/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 9, 12, 13, 15, 18, 19] and B = [6, 7, 11, 13, 14, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 12, 15, 18].\n</reasoning>\nFinal Answer: [9, 12, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 16 = 394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 21x = 378. Divide by 21: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 / 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/17) ÷ (2/3) = (6/17) × (3/2) = 9/17.\n</reasoning>\nFinal Answer: 9/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:38 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/38, so B = A × (38/45) = 21 × 38/45 = 17.7333.\n</reasoning>\nFinal Answer: 17.7333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 193 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 193 × (1 + 50/100) = 193 × 1.5 = 289.5.\n</reasoning>\nFinal Answer: 289.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 284 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 284 × (1 + 80/100) = 284 × 1.8 = 511.2.\n</reasoning>\nFinal Answer: 511.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -155 × 570"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -155 by 570: -155 × 570 = -88350.\n</reasoning>\nFinal Answer: -88350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 34 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 118 apples and buys 73 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 118 + 73 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:17 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/17, so B = A × (17/45) = 71 × 17/45 = 26.8222.\n</reasoning>\nFinal Answer: 26.8222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -860 × -837"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -860 by -837: -860 × -837 = 719820.\n</reasoning>\nFinal Answer: 719820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:27 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/27, so B = A × (27/17) = 15 × 27/17 = 23.8235.\n</reasoning>\nFinal Answer: 23.8235"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 34) * (4 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+34)=81, (4-46)=-42, then 81×-42=-3402.\n</reasoning>\nFinal Answer: -3402"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 815 mod -444"
},
{
"role": "assistant",
"content": "<reasoning>\n815 mod -444: 815 = -444 × -2 + -73, so remainder = -73.\n</reasoning>\nFinal Answer: -73"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 537 × -864"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 537 by -864: 537 × -864 = -463968.\n</reasoning>\nFinal Answer: -463968"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 571 km apart. Their speeds are 46 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 46+107=153 km/h. Time = 571/153 = 3.732 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 5 = 499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 13x = 494. Divide by 13: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 44 = -730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 18x = -774. Divide by 18: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -15 = 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 29x = 464. Divide by 29: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 179 and 189."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(179,189) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 984 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 984 × (1 - 100/100) = 984 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 17 * 18 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×18=306, then 16+306-36=286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 22 and 200."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(22,200) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -20 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 8x = -104. Divide by 8: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -11 = 493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 14x = 504. Divide by 14: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -35 = -387"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 22x = -352. Divide by 22: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 13 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 13 = 104 worker-days. New time = 104 / 5 = 20.8 days.\n</reasoning>\nFinal Answer: 20.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 13 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 4+169-50=123.\n</reasoning>\nFinal Answer: 123"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 45, 33, 50, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 183/5 = 36.6.\n</reasoning>\nFinal Answer: 36.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 23 = 1058.\n</reasoning>\nFinal Answer: 1058"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -804 - 285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 285 from -804: -804 - 285 = -1089.\n</reasoning>\nFinal Answer: -1089"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 2, 19, 55, 7, 52, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 19, 42, 50, 52, 55]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 100 = 7000.\n</reasoning>\nFinal Answer: 7000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -10 = 1022"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 24x = 1032. Divide by 24: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 423 mod 842"
},
{
"role": "assistant",
"content": "<reasoning>\n423 mod 842: 423 = 842 × 0 + 423, so remainder = 423.\n</reasoning>\nFinal Answer: 423"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×30)/10 = 150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:11 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/11, so B = A × (11/41) = 69 × 11/41 = 18.5122.\n</reasoning>\nFinal Answer: 18.5122"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:41 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/41, so B = A × (41/28) = 64 × 41/28 = 93.7143.\n</reasoning>\nFinal Answer: 93.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -956 + 491"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -956 and 491: -956 + 491 = -465.\n</reasoning>\nFinal Answer: -465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 29 apples and buys 60 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 29 + 60 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 662 - -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from 662: 662 - -41 = 703.\n</reasoning>\nFinal Answer: 703"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 70, 90, 62, 21, 2, 56, 33, 7, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 21, 33, 48, 56, 62, 67, 70, 90]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 7) * (6 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+7)=39, (6-25)=-19, then 39×-19=-741.\n</reasoning>\nFinal Answer: -741"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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