messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18665 at 13% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18665 × 13 × 7 / 100 = 16985.15.\n</reasoning>\nFinal Answer: 16985.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 94 km/h. How far does it travel in 6 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 51/60 = 6.8500 hours. Distance = speed × time = 94 × 6.8500 = 643.9 km.\n</reasoning>\nFinal Answer: 643.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-18)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×2×40 = 4. √discriminant = 2. x = (-(-18) ± 2) / (2×2). Solutions: x = 5 or x = 4.\n</reasoning>\nFinal Answer: x = 5 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 - 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/16 - 5/1. LCD = 16. Result = -79/16.\n</reasoning>\nFinal Answer: -79/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 14, 16, 18, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 2. Next term = 20 + 2 = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -23 = 817"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 24x = 840. Divide by 24: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 * 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/18) × (8/19) = (112/342) = 56/171 after simplification.\n</reasoning>\nFinal Answer: 56/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -17 = 727"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 24x = 744. Divide by 24: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×3)/1 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 84 apples and buys 16 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 84 + 16 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×27)/9 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 96, 93, 50, 93, 70, 61, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 559/8 = 69.875.\n</reasoning>\nFinal Answer: 69.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 19, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 19 + 20 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "9 is what percentage of 301?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/301) × 100 = 2.99%.\n</reasoning>\nFinal Answer: 2.99%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 14, 93, 76, 94, 22, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 14: 1, 93: 1, 76: 1, 94: 1, 22: 1, 49: 1}. Most frequent: [28, 14, 93, 76, 94, 22, 49].\n</reasoning>\nFinal Answer: [28, 14, 93, 76, 94, 22... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 20, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (37-1)×20 = 25 + 720 = 745.\n</reasoning>\nFinal Answer: 745"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 11, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (43-1)×11 = 47 + 462 = 509.\n</reasoning>\nFinal Answer: 509"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 367 km apart. Their speeds are 116 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 116+64=180 km/h. Time = 367/180 = 2.0389 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 + 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/2 + 19/3. Common denominator = 3. Result = 37/3.\n</reasoning>\nFinal Answer: 37/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 25 * 18 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×18=450, then 47+450-14=483.\n</reasoning>\nFinal Answer: 483"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 103 and 80."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(103,80) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [38, 89, 51, 53, 21, 30, 6, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 21, 28, 30, 38, 51, 53, 89]. Middle value(s) → median = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -49 = -89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 10x = -40. Divide by 10: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 0 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 2x = 78. Divide by 2: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 392 mod 34"
},
{
"role": "assistant",
"content": "<reasoning>\n392 mod 34: 392 = 34 × 11 + 18, so remainder = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 843 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 843 × (1 - 30/100) = 843 × 0.7 = 590.1.\n</reasoning>\nFinal Answer: 590.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 43) * (50 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+43)=91, (50-3)=47, then 91×47=4277.\n</reasoning>\nFinal Answer: 4277"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 40 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 2x = -90. Divide by 2: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [18, 80, 52, 35, 55, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 18 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 22 = -692"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 17x = -714. Divide by 17: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 105 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n105 = 3 × 35, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -571 - 160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 160 from -571: -571 - 160 = -731.\n</reasoning>\nFinal Answer: -731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:27 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/27, so B = A × (27/50) = 32 × 27/50 = 17.28.\n</reasoning>\nFinal Answer: 17.28"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 3 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 51/60 = 3.8500 hours. Distance = speed × time = 151 × 3.8500 = 581.35 km.\n</reasoning>\nFinal Answer: 581.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -15 - -70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -70 from -15: -15 - -70 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 32, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 32 + 36 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 93, 82, 76, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 358/5 = 71.6.\n</reasoning>\nFinal Answer: 71.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 2 ÷ 550"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 2 by 550. 2 ÷ 550 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 27, 16, 7, 91, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 27: 1, 16: 1, 7: 1, 91: 1, 58: 1}. Most frequent: [76, 27, 16, 7, 91, 58].\n</reasoning>\nFinal Answer: [76, 27, 16, 7, 91, 58]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 20, 31, 1, 16, 62, 68, 53, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 363/9 = 40.3333.\n</reasoning>\nFinal Answer: 40.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 39, 34, 99, 79, 93, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 20 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 437 km apart. Their speeds are 110 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+84=194 km/h. Time = 437/194 = 2.2526 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 - 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/8 - 12/11. LCD = 44. Result = 29/44.\n</reasoning>\nFinal Answer: 29/44"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 395 + 569"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 395 and 569: 395 + 569 = 964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 649 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 649 × (1 - 100/100) = 649 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 41 + 24 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×41=1722 and 24×25=600, then add: 2322.\n</reasoning>\nFinal Answer: 2322"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 18 * 7 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×7=126, then 6+126-35=97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [13, 29, 13, 34, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {13: 2, 29: 1, 34: 1, 70: 1}. Most frequent: 13.\n</reasoning>\nFinal Answer: 13"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/9 + 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/9 + 14/16. Common denominator = 72. Result = 79/72.\n</reasoning>\nFinal Answer: 79/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 256?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 256 = (90/100) × 256 = 230.4.\n</reasoning>\nFinal Answer: 230.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+73) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 - 11/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/10 - 11/2. LCD = 10. Result = -37/10.\n</reasoning>\nFinal Answer: -37/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 10% of 909?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 909 = (10/100) × 909 = 90.9.\n</reasoning>\nFinal Answer: 90.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 13 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 9x = 18. Divide by 9: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -218 ÷ -156"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -218 by -156. -218 ÷ -156 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 5 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 5 = 65 worker-days. New time = 65 / 16 = 4.0625 days.\n</reasoning>\nFinal Answer: 4.0625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -645 × -74"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -645 by -74: -645 × -74 = 47730.\n</reasoning>\nFinal Answer: 47730"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 9 = 306.0.\n</reasoning>\nFinal Answer: 306.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 17 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 1+289-39=251.\n</reasoning>\nFinal Answer: 251"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹1503. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1503 × 12/100 = 180.36. Total = 1503 + 180.36 = 1683.36.\n</reasoning>\nFinal Answer: 1683.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 6 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 52/60 = 6.8667 hours. Distance = speed × time = 106 × 6.8667 = 727.8667 km.\n</reasoning>\nFinal Answer: 727.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 104 km/h. How far does it travel in 5 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 52/60 = 5.8667 hours. Distance = speed × time = 104 × 5.8667 = 610.1333 km.\n</reasoning>\nFinal Answer: 610.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 - 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/12 - 6/12. LCD = 6. Result = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 49 = 1396.5.\n</reasoning>\nFinal Answer: 1396.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 29 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 9+841-9=841.\n</reasoning>\nFinal Answer: 841"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 220 ÷ 546"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 220 by 546. 220 ÷ 546 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 842 × 392"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 842 by 392: 842 × 392 = 330064.\n</reasoning>\nFinal Answer: 330064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 5, 83, 51, 21, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 5: 1, 83: 1, 51: 1, 21: 1, 68: 1}. Most frequent: [72, 5, 83, 51, 21, 68].\n</reasoning>\nFinal Answer: [72, 5, 83, 51, 21, 68]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 166 + 90"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 166 and 90: 166 + 90 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 + 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/12 + 17/14. Common denominator = 42. Result = 121/42.\n</reasoning>\nFinal Answer: 121/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:26 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/26, so B = A × (26/4) = 82 × 26/4 = 533.0.\n</reasoning>\nFinal Answer: 533.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 42 ÷ 842"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 42 by 842. 42 ÷ 842 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 92 apples and buys 154 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 92 + 154 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 11, 15, 18] and B = [3, 5, 6, 8, 12, 14, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [6, 15].\n</reasoning>\nFinal Answer: [6, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 13, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (13-1)×13 = 27 + 156 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 37 * 39 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×39=1443, then 42+1443-15=1470.\n</reasoning>\nFinal Answer: 1470"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 25 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 25 × 4 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 12 = -128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 10x = -140. Divide by 10: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 14 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 14 = 42 worker-days. New time = 42 / 14 = 3.0 days.\n</reasoning>\nFinal Answer: 3.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -157 - -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -63 from -157: -157 - -63 = -94.\n</reasoning>\nFinal Answer: -94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [17, 33, 74, 77, 95, 4, 58, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 369/8 = 46.125.\n</reasoning>\nFinal Answer: 46.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×50)/2 = 800.\n</reasoning>\nFinal Answer: 800"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -20 = 463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 21x = 483. Divide by 21: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [75, 78, 71, 95, 47, 78, 94, 68, 65, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 47 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 * 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/5) × (10/9) = (20/45) = 4/9 after simplification.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 70% of 629?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 629 = (70/100) × 629 = 440.3.\n</reasoning>\nFinal Answer: 440.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:29 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/29, so B = A × (29/30) = 79 × 29/30 = 76.3667.\n</reasoning>\nFinal Answer: 76.3667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 69 = 2518.5.\n</reasoning>\nFinal Answer: 2518.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:1 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/1, so B = A × (1/50) = 68 × 1/50 = 1.36.\n</reasoning>\nFinal Answer: 1.36"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 22 = 440.0.\n</reasoning>\nFinal Answer: 440.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 248 ÷ -693"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 248 by -693. 248 ÷ -693 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 409 × -495"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 409 by -495: 409 × -495 = -202455.\n</reasoning>\nFinal Answer: -202455"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 21, 6, 48, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 152/5 = 30.4.\n</reasoning>\nFinal Answer: 30.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 40 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+40) × 18 = 801.0.\n</reasoning>\nFinal Answer: 801.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 19 + 8 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×19=418 and 8×4=32, then add: 450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 75% of 143?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 143 = (75/100) × 143 = 107.25.\n</reasoning>\nFinal Answer: 107.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -432 × 215"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -432 by 215: -432 × 215 = -92880.\n</reasoning>\nFinal Answer: -92880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -800 mod 721"
},
{
"role": "assistant",
"content": "<reasoning>\n-800 mod 721: -800 = 721 × -2 + 642, so remainder = 642.\n</reasoning>\nFinal Answer: 642"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 10, 16, 17, 19] and B = [1, 3, 4, 6, 10, 11, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 6, 10, 11, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 3, 4, 5, 6,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 33 = 495.\n</reasoning>\nFinal Answer: 495"
}
] | easy | [
"geometry",
"area"
] |
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