messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 913 km apart. Their speeds are 113 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+61=174 km/h. Time = 913/174 = 5.2471 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "109 is what percentage of 303?"
},
{
"role": "assistant",
"content": "<reasoning>\n(109/303) × 100 = 35.9736%.\n</reasoning>\nFinal Answer: 35.9736%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 / 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/19) ÷ (16/1) = (6/19) × (1/16) = 3/152.\n</reasoning>\nFinal Answer: 3/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 86, 53, 87, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 53, 86, 87, 92]. Middle value(s) → median = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 25) * (24 - 1)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+25)=52, (24-1)=23, then 52×23=1196.\n</reasoning>\nFinal Answer: 1196"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 43, 45, 47, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 2. Next term = 49 + 2 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 319 × 903"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 319 by 903: 319 × 903 = 288057.\n</reasoning>\nFinal Answer: 288057"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 489 × -902"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 489 by -902: 489 × -902 = -441078.\n</reasoning>\nFinal Answer: -441078"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 35 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+35) × 50 = 975.0.\n</reasoning>\nFinal Answer: 975.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×7)/1 = 287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 366 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 366 × (1 + 12/100) = 366 × 1.12 = 409.92.\n</reasoning>\nFinal Answer: 409.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 34 ** 2 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 18+1156-30=1144.\n</reasoning>\nFinal Answer: 1144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 * 12/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/12) × (12/16) = (144/192) = 3/4 after simplification.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 15 * 7 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×7=105, then 32+105-23=114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 29 and 137."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(29,137) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 9 = -495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 28x = -504. Divide by 28: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 16 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 16 = 288 worker-days. New time = 288 / 16 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 45 = -648"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 21x = -693. Divide by 21: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 3) * (16 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+3)=51, (16-46)=-30, then 51×-30=-1530.\n</reasoning>\nFinal Answer: -1530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 501 × 160"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 501 by 160: 501 × 160 = 80160.\n</reasoning>\nFinal Answer: 80160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 38, 51, 100, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 271/5 = 54.2.\n</reasoning>\nFinal Answer: 54.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 12/8 + 6/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/8 + 6/11. Common denominator = 22. Result = 45/22.\n</reasoning>\nFinal Answer: 45/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 7, 9, 14, 16, 17, 19] and B = [3, 4, 6, 9, 12, 15, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 6, 7, 12, 14, 15, 16, 17, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 186 apples and buys 123 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 186 + 123 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -370 × -774"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -370 by -774: -370 × -774 = 286380.\n</reasoning>\nFinal Answer: 286380"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+79) = 2×175 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 6 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(6+14) = 2×20 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -63 - 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 66 from -63: -63 - 66 = -129.\n</reasoning>\nFinal Answer: -129"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 14 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 17x = 17. Divide by 17: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 81 apples and buys 159 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 81 + 159 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -16 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 10x = 50. Divide by 10: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -50 = 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 14x = 266. Divide by 14: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 29, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 29 + 35 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 47 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+47) × 5 = 182.5.\n</reasoning>\nFinal Answer: 182.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 * 45 + 20 * 42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 41×45=1845 and 20×42=840, then add: 2685.\n</reasoning>\nFinal Answer: 2685"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4180. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4180 × 18/100 = 752.4. Total = 4180 + 752.4 = 4932.4.\n</reasoning>\nFinal Answer: 4932.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 36 + 43 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×36=612 and 43×37=1591, then add: 2203.\n</reasoning>\nFinal Answer: 2203"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -308 + 544"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -308 and 544: -308 + 544 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -986 - 322"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 322 from -986: -986 - 322 = -1308.\n</reasoning>\nFinal Answer: -1308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 32 * 30 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×30=960, then 3+960-13=950.\n</reasoning>\nFinal Answer: 950"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:4 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/4, so B = A × (4/4) = 94 × 4/4 = 94.0.\n</reasoning>\nFinal Answer: 94.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -500 - 640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 640 from -500: -500 - 640 = -1140.\n</reasoning>\nFinal Answer: -1140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 746 km apart. Their speeds are 105 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+94=199 km/h. Time = 746/199 = 3.7487 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 / 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/18) ÷ (10/20) = (2/18) × (20/10) = 2/9.\n</reasoning>\nFinal Answer: 2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 - 19/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/6 - 19/4. LCD = 12. Result = -31/12.\n</reasoning>\nFinal Answer: -31/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 90, 86, 45, 65, 22, 70, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 461/8 = 57.625.\n</reasoning>\nFinal Answer: 57.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 47) * (41 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+47)=85, (41-29)=12, then 85×12=1020.\n</reasoning>\nFinal Answer: 1020"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -490 - 802"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 802 from -490: -490 - 802 = -1292.\n</reasoning>\nFinal Answer: -1292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 56, 31, 80, 73, 61, 88, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 408/8 = 51.0.\n</reasoning>\nFinal Answer: 51.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 754 mod 483"
},
{
"role": "assistant",
"content": "<reasoning>\n754 mod 483: 754 = 483 × 1 + 271, so remainder = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 * 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/10) × (17/18) = (289/180) = 289/180 after simplification.\n</reasoning>\nFinal Answer: 289/180"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 880 ÷ 131"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 880 by 131. 880 ÷ 131 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 71 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(71,21) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 11, 15, 16, 18] and B = [2, 4, 6, 9, 11, 15, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [18].\n</reasoning>\nFinal Answer: [18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -112 - -964"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -964 from -112: -112 - -964 = 852.\n</reasoning>\nFinal Answer: 852"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 846 - 397"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 397 from 846: 846 - 397 = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 50) * (28 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+50)=73, (28-4)=24, then 73×24=1752.\n</reasoning>\nFinal Answer: 1752"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:6 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/6, so B = A × (6/40) = 27 × 6/40 = 4.05.\n</reasoning>\nFinal Answer: 4.05"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49407 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49407 × 13 × 5 / 100 = 32114.55.\n</reasoning>\nFinal Answer: 32114.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 50% of 669?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 669 = (50/100) × 669 = 334.5.\n</reasoning>\nFinal Answer: 334.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:14 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/14, so B = A × (14/10) = 65 × 14/10 = 91.0.\n</reasoning>\nFinal Answer: 91.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 744 km apart. Their speeds are 92 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+57=149 km/h. Time = 744/149 = 4.9933 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 27 apples and buys 151 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 27 + 151 = 178.\n</reasoning>\nFinal Answer: 178"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 141 km/h. How far does it travel in 8 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 3/60 = 8.0500 hours. Distance = speed × time = 141 × 8.0500 = 1135.05 km.\n</reasoning>\nFinal Answer: 1135.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -42 + 645"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -42 and 645: -42 + 645 = 603.\n</reasoning>\nFinal Answer: 603"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 + 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/4 + 10/3. Common denominator = 6. Result = 47/6.\n</reasoning>\nFinal Answer: 47/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:21 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/21, so B = A × (21/20) = 16 × 21/20 = 16.8.\n</reasoning>\nFinal Answer: 16.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-5)x + (4) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×1×4 = 9. √discriminant = 3. x = (-(-5) ± 3) / (2×1). Solutions: x = 4 or x = 1.\n</reasoning>\nFinal Answer: x = 4 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -11 = -271"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 20x = -260. Divide by 20: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 95, 47, 34, 92, 94, 28, 12, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 95: 1, 47: 1, 34: 1, 92: 1, 94: 1, 28: 1, 12: 1, 96: 1}. Most frequent: [60, 95, 47, 34, 92, 94, 28, 12, 96].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹1916. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1916 × 5/100 = 95.8. Total = 1916 + 95.8 = 2011.8.\n</reasoning>\nFinal Answer: 2011.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:19 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/19, so B = A × (19/22) = 99 × 19/22 = 85.5.\n</reasoning>\nFinal Answer: 85.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -50 = 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 13x = 195. Divide by 13: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 75."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 75 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 128 + 836"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 128 and 836: 128 + 836 = 964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 / 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/18) ÷ (18/15) = (3/18) × (15/18) = 5/36.\n</reasoning>\nFinal Answer: 5/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 100% of 53?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 53 = (100/100) × 53 = 53.0.\n</reasoning>\nFinal Answer: 53.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 49 = -26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 3x = -75. Divide by 3: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -925 - 172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 172 from -925: -925 - 172 = -1097.\n</reasoning>\nFinal Answer: -1097"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 47 = -55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 3x = -102. Divide by 3: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 132 apples and buys 198 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 132 + 198 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 24 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 24 = 120 worker-days. New time = 120 / 5 = 24.0 days.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 2 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 24x = 96. Divide by 24: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 7, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (48-1)×7 = 24 + 329 = 353.\n</reasoning>\nFinal Answer: 353"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 94, 49, 51, 24, 70, 25, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 24 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [15, 22, 11, 26, 49, 14, 70, 67, 59, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {15: 1, 22: 1, 11: 1, 26: 1, 49: 1, 14: 1, 70: 1, 67: 1, 59: 1, 37: 1}. Most frequent: [15, 22, 11, 26, 49, 14, 70, 67, 59, 37].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 123 + -981"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 123 and -981: 123 + -981 = -858.\n</reasoning>\nFinal Answer: -858"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "46 is what percentage of 118?"
},
{
"role": "assistant",
"content": "<reasoning>\n(46/118) × 100 = 38.9831%.\n</reasoning>\nFinal Answer: 38.9831%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 169 apples and buys 44 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 169 + 44 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 343 - -206"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -206 from 343: 343 - -206 = 549.\n</reasoning>\nFinal Answer: 549"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 36 = 529"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 29x = 493. Divide by 29: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 29 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 29 = 522 worker-days. New time = 522 / 14 = 37.2857 days.\n</reasoning>\nFinal Answer: 37.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 905 km apart. Their speeds are 67 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+109=176 km/h. Time = 905/176 = 5.142 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 15% of 71?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 71 = (15/100) × 71 = 10.65.\n</reasoning>\nFinal Answer: 10.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 308 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 308 × (1 - 17/100) = 308 × 0.83 = 255.64.\n</reasoning>\nFinal Answer: 255.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [16, 13, 43, 1, 28, 30, 5, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {16: 1, 13: 1, 43: 1, 1: 1, 28: 1, 30: 1, 5: 1, 31: 1}. Most frequent: [16, 13, 43, 1, 28, 30, 5, 31].\n</reasoning>\nFinal Answer: [16, 13, 43, 1... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 49, 13, 48, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 13 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 802 km apart. Their speeds are 86 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 86+83=169 km/h. Time = 802/169 = 4.7456 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -502 mod 619"
},
{
"role": "assistant",
"content": "<reasoning>\n-502 mod 619: -502 = 619 × -1 + 117, so remainder = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 240 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 240 × (1 - 5/100) = 240 × 0.95 = 228.0.\n</reasoning>\nFinal Answer: 228.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
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