messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 18x + 21 = 849"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 18x = 828. Divide by 18: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 27 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+27) × 36 = 936.0.\n</reasoning>\nFinal Answer: 936.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 770 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 770 × (1 - 12/100) = 770 × 0.88 = 677.6.\n</reasoning>\nFinal Answer: 677.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹752. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 752 × 18/100 = 135.36. Total = 752 + 135.36 = 887.36.\n</reasoning>\nFinal Answer: 887.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 21 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 21 = 189 worker-days. New time = 189 / 5 = 37.8 days.\n</reasoning>\nFinal Answer: 37.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 964 km apart. Their speeds are 115 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+41=156 km/h. Time = 964/156 = 6.1795 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 9 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 13/60 = 9.2167 hours. Distance = speed × time = 189 × 9.2167 = 1741.95 km.\n</reasoning>\nFinal Answer: 1741.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "489 is what percentage of 846?"
},
{
"role": "assistant",
"content": "<reasoning>\n(489/846) × 100 = 57.8014%.\n</reasoning>\nFinal Answer: 57.8014%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [49, 48, 83, 68, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 48 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 181 km/h. How far does it travel in 1 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 2/60 = 1.0333 hours. Distance = speed × time = 181 × 1.0333 = 187.0333 km.\n</reasoning>\nFinal Answer: 187.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 53 km/h. How far does it travel in 2 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 14/60 = 2.2333 hours. Distance = speed × time = 53 × 2.2333 = 118.3667 km.\n</reasoning>\nFinal Answer: 118.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 25 * 9 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×9=225, then 2+225-46=181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -990 - 913"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 913 from -990: -990 - 913 = -1903.\n</reasoning>\nFinal Answer: -1903"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 288 + 943"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 288 and 943: 288 + 943 = 1231.\n</reasoning>\nFinal Answer: 1231"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 5 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 5 + 34 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -721 × 816"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -721 by 816: -721 × 816 = -588336.\n</reasoning>\nFinal Answer: -588336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 532 + 392"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 532 and 392: 532 + 392 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 21, and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 21 + 33 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -627 ÷ -289"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -627 by -289. -627 ÷ -289 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [46, 55, 64, 73, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 46 and common difference 9. Next term = 82 + 9 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 16, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (22-1)×16 = 25 + 336 = 361.\n</reasoning>\nFinal Answer: 361"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 91 apples and buys 71 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 91 + 71 = 162.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 12, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (16-1)×12 = 25 + 180 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 3 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 3 × (1 + 17/100) = 3 × 1.17 = 3.51.\n</reasoning>\nFinal Answer: 3.51"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 11 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 16/60 = 11.2667 hours. Distance = speed × time = 85 × 11.2667 = 957.6667 km.\n</reasoning>\nFinal Answer: 957.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 28) * (7 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+28)=39, (7-7)=0, then 39×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -310 - -11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from -310: -310 - -11 = -299.\n</reasoning>\nFinal Answer: -299"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 58 = 899.0.\n</reasoning>\nFinal Answer: 899.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 9 * 11 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×11=99, then 25+99-20=104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -44 = -264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 10x = -220. Divide by 10: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 74 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 74 × (1 + 40/100) = 74 × 1.4 = 103.6.\n</reasoning>\nFinal Answer: 103.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 60 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 60 × (1 - 17/100) = 60 × 0.83 = 49.8.\n</reasoning>\nFinal Answer: 49.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 24 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+24) × 16 = 256.0.\n</reasoning>\nFinal Answer: 256.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "309 is what percentage of 810?"
},
{
"role": "assistant",
"content": "<reasoning>\n(309/810) × 100 = 38.1481%.\n</reasoning>\nFinal Answer: 38.1481%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×29)/1 = 1073.\n</reasoning>\nFinal Answer: 1073"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 + 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/17 + 16/9. Common denominator = 153. Result = 326/153.\n</reasoning>\nFinal Answer: 326/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3445. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3445 × 28/100 = 964.6. Total = 3445 + 964.6 = 4409.6.\n</reasoning>\nFinal Answer: 4409.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 107 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 107 + 62 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×8)/1 = 376.\n</reasoning>\nFinal Answer: 376"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 9 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 9 = 99 worker-days. New time = 99 / 9 = 11.0 days.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 33) * (42 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+33)=76, (42-33)=9, then 76×9=684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 25% of 755?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 755 = (25/100) × 755 = 188.75.\n</reasoning>\nFinal Answer: 188.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -15 = -372"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 17x = -357. Divide by 17: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:42 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/42, so B = A × (42/32) = 20 × 42/32 = 26.25.\n</reasoning>\nFinal Answer: 26.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 20 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(20+42) = 2×62 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 43, 1, 52, 89, 56, 18, 100, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 1 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -704 + 332"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -704 and 332: -704 + 332 = -372.\n</reasoning>\nFinal Answer: -372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×22)/2 = 462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 607 km apart. Their speeds are 45 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 45+116=161 km/h. Time = 607/161 = 3.7702 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 604 × -344"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 604 by -344: 604 × -344 = -207776.\n</reasoning>\nFinal Answer: -207776"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 38 = 912.\n</reasoning>\nFinal Answer: 912"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 9, 11, 13, 15, 17] and B = [2, 4, 7, 8, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 7, 8, 9, 11, 13, 15, 17, 19].\n</reasoning>\nFinal Answer: [2, 4, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -845 + 92"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -845 and 92: -845 + 92 = -753.\n</reasoning>\nFinal Answer: -753"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:29 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/29, so B = A × (29/12) = 78 × 29/12 = 188.5.\n</reasoning>\nFinal Answer: 188.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 12, 13, 19] and B = [9, 11, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 6, 9, 11, 12, 13, 19].\n</reasoning>\nFinal Answer: [5, 6, 9, 11, 12, 13, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 26, 36, 14, 35, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 11 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 25."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 25 by smallest primes repeatedly: 25 = 5 × 5.\n</reasoning>\nFinal Answer: 5 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 309 ÷ -208"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 309 by -208. 309 ÷ -208 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1481. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1481 × 18/100 = 266.58. Total = 1481 + 266.58 = 1747.58.\n</reasoning>\nFinal Answer: 1747.58"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 742 mod 304"
},
{
"role": "assistant",
"content": "<reasoning>\n742 mod 304: 742 = 304 × 2 + 134, so remainder = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 88 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 88 × 55 = 4840.\n</reasoning>\nFinal Answer: 4840"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [1, 45, 39, 72, 94, 60, 34, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {1: 1, 45: 1, 39: 1, 72: 1, 94: 1, 60: 1, 34: 1, 35: 1}. Most frequent: [1, 45, 39, 72, 94, 60, 34, 35].\n</reasoning>\nFinal Answer: [1, 45, 39,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 38, 45, 52, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 7. Next term = 59 + 7 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×10)/2 = 10.\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 766 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 766 × (1 - 25/100) = 766 × 0.75 = 574.5.\n</reasoning>\nFinal Answer: 574.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 19) * (14 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+19)=65, (14-48)=-34, then 65×-34=-2210.\n</reasoning>\nFinal Answer: -2210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -722 - -294"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -294 from -722: -722 - -294 = -428.\n</reasoning>\nFinal Answer: -428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 494 + 925"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 494 and 925: 494 + 925 = 1419.\n</reasoning>\nFinal Answer: 1419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×17)/1 = 544.\n</reasoning>\nFinal Answer: 544"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 296 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 296 × (1 - 20/100) = 296 × 0.8 = 236.8.\n</reasoning>\nFinal Answer: 236.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 20, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (45-1)×20 = 13 + 880 = 893.\n</reasoning>\nFinal Answer: 893"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -675 ÷ -254"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -675 by -254. -675 ÷ -254 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 36, 35, 79, 98, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 35, 36, 79, 98, 100]. Middle value(s) → median = 57.5.\n</reasoning>\nFinal Answer: 57.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 40 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+40) × 19 = 570.0.\n</reasoning>\nFinal Answer: 570.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -23 = -474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 11x = -451. Divide by 11: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 6, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (12-1)×6 = 12 + 66 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 158 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 158 + 72 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 38, 48, 58, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 10. Next term = 68 + 10 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 78 = 5850.\n</reasoning>\nFinal Answer: 5850"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 4 + 32 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×4=172 and 32×48=1536, then add: 1708.\n</reasoning>\nFinal Answer: 1708"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:16 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/16, so B = A × (16/17) = 49 × 16/17 = 46.1176.\n</reasoning>\nFinal Answer: 46.1176"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -183 ÷ -158"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -183 by -158. -183 ÷ -158 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -37 = -323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 11x = -286. Divide by 11: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 33) * (3 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+33)=43, (3-27)=-24, then 43×-24=-1032.\n</reasoning>\nFinal Answer: -1032"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 28, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 28 + 31 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 17, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (44-1)×17 = 20 + 731 = 751.\n</reasoning>\nFinal Answer: 751"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 80 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 80 × (1 - 5/100) = 80 × 0.95 = 76.0.\n</reasoning>\nFinal Answer: 76.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -653 - 766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 766 from -653: -653 - 766 = -1419.\n</reasoning>\nFinal Answer: -1419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 66 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 66 × 31 = 2046.\n</reasoning>\nFinal Answer: 2046"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹4375. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4375 × 28/100 = 1225.0. Total = 4375 + 1225.0 = 5600.0.\n</reasoning>\nFinal Answer: 5600.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 884 km apart. Their speeds are 109 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+58=167 km/h. Time = 884/167 = 5.2934 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:25 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/25, so B = A × (25/48) = 13 × 25/48 = 6.7708.\n</reasoning>\nFinal Answer: 6.7708"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 33 ÷ -505"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 33 by -505. 33 ÷ -505 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 872 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 872 × (1 - 35/100) = 872 × 0.65 = 566.8.\n</reasoning>\nFinal Answer: 566.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 41 = 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 10x = 390. Divide by 10: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:10 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/10, so B = A × (10/30) = 35 × 10/30 = 11.6667.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:27 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/27, so B = A × (27/44) = 55 × 27/44 = 33.75.\n</reasoning>\nFinal Answer: 33.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 11, 15, 17] and B = [2, 4, 6, 7, 9, 10, 12, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 6, 7, 9, 10, 11, 12, 15, 17, 18].\n</rea... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 - 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/11 - 5/9. LCD = 99. Result = 8/99.\n</reasoning>\nFinal Answer: 8/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -7 = -25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 9x = -18. Divide by 9: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
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