messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 131 km/h. How far does it travel in 9 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 41/60 = 9.6833 hours. Distance = speed × time = 131 × 9.6833 = 1268.5167 km.\n</reasoning>\nFinal Answer: 1268.5167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 441 mod 348"
},
{
"role": "assistant",
"content": "<reasoning>\n441 mod 348: 441 = 348 × 1 + 93, so remainder = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+1) = 2×33 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 / 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/16) ÷ (19/8) = (16/16) × (8/19) = 8/19.\n</reasoning>\nFinal Answer: 8/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -735 - -438"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -438 from -735: -735 - -438 = -297.\n</reasoning>\nFinal Answer: -297"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 75 = 1500.0.\n</reasoning>\nFinal Answer: 1500.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 75% of 415?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 415 = (75/100) × 415 = 311.25.\n</reasoning>\nFinal Answer: 311.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [77, 99, 60, 52, 5, 91, 18, 40, 33, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 562/10 = 56.2.\n</reasoning>\nFinal Answer: 56.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 40) * (24 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+40)=80, (24-12)=12, then 80×12=960.\n</reasoning>\nFinal Answer: 960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 8 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 8 × 93 = 372.0.\n</reasoning>\nFinal Answer: 372.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 616 + 953"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 616 and 953: 616 + 953 = 1569.\n</reasoning>\nFinal Answer: 1569"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -863 - -958"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -958 from -863: -863 - -958 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 902?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 902 = (100/100) × 902 = 902.0.\n</reasoning>\nFinal Answer: 902.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 - 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/19 - 3/4. LCD = 76. Result = -37/76.\n</reasoning>\nFinal Answer: -37/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 587 + 884"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 587 and 884: 587 + 884 = 1471.\n</reasoning>\nFinal Answer: 1471"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 25 = -647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 28x = -672. Divide by 28: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -887 - -487"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -487 from -887: -887 - -487 = -400.\n</reasoning>\nFinal Answer: -400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 33 × 481"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 33 by 481: 33 × 481 = 15873.\n</reasoning>\nFinal Answer: 15873"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 11 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 11 = 154 worker-days. New time = 154 / 8 = 19.25 days.\n</reasoning>\nFinal Answer: 19.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 554 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 554 × (1 - 25/100) = 554 × 0.75 = 415.5.\n</reasoning>\nFinal Answer: 415.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 10, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (30-1)×10 = 32 + 290 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35562 at 4% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35562 × 4 × 10 / 100 = 14224.8.\n</reasoning>\nFinal Answer: 14224.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 6, 6, 61, 16, 60, 29, 46, 76, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 6: 2, 61: 1, 16: 1, 60: 1, 29: 1, 46: 1, 76: 1, 73: 1}. Most frequent: 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 926 ÷ 758"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 926 by 758. 926 ÷ 758 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4670. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4670 × 5/100 = 233.5. Total = 4670 + 233.5 = 4903.5.\n</reasoning>\nFinal Answer: 4903.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 50 = 194"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 3x = 144. Divide by 3: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 33, 35, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 33 + 35 + 38 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 40 = 424"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 24x = 384. Divide by 24: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 11, 13, 19] and B = [1, 6, 9, 13, 14, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 7, 11].\n</reasoning>\nFinal Answer: [2, 7, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 4, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (25-1)×4 = 10 + 96 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 393 + 52"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 393 and 52: 393 + 52 = 445.\n</reasoning>\nFinal Answer: 445"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 672 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 672 × (1 + 12/100) = 672 × 1.12 = 752.64.\n</reasoning>\nFinal Answer: 752.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 149 ÷ -849"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 149 by -849. 149 ÷ -849 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 37, 15, 62, 34, 40, 17, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 297/8 = 37.125.\n</reasoning>\nFinal Answer: 37.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 55 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 55 × 74 = 4070.\n</reasoning>\nFinal Answer: 4070"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 66 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 66 × 50 = 3300.\n</reasoning>\nFinal Answer: 3300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 76 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 76 × 45 = 3420.\n</reasoning>\nFinal Answer: 3420"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 17, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (25-1)×17 = 45 + 408 = 453.\n</reasoning>\nFinal Answer: 453"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 48 = 336"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 6x = 288. Divide by 6: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 32 = 1192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 29x = 1160. Divide by 29: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 6, 9, 13, 16] and B = [1, 4, 5, 13, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 4, 6, 9, 15, 16].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹3965. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3965 × 12/100 = 475.8. Total = 3965 + 475.8 = 4440.8.\n</reasoning>\nFinal Answer: 4440.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 11 = -304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 21x = -315. Divide by 21: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 25 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 25 × 40 = 500.0.\n</reasoning>\nFinal Answer: 500.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 753 + -345"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 753 and -345: 753 + -345 = 408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [65, 41, 86, 56, 5, 63, 3, 93, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 439/9 = 48.7778.\n</reasoning>\nFinal Answer: 48.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 18, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (32-1)×18 = 2 + 558 = 560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -40 = -552"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 16x = -512. Divide by 16: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2873. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2873 × 28/100 = 804.44. Total = 2873 + 804.44 = 3677.44.\n</reasoning>\nFinal Answer: 3677.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 72, 86, 79, 64, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 21 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:20 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/20, so B = A × (20/38) = 45 × 20/38 = 23.6842.\n</reasoning>\nFinal Answer: 23.6842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [93, 98, 98, 1, 28, 27, 73, 27, 48, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 591/10 = 59.1.\n</reasoning>\nFinal Answer: 59.1"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 87, 56, 86, 37, 34, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 31 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×10)/1 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 632 mod -529"
},
{
"role": "assistant",
"content": "<reasoning>\n632 mod -529: 632 = -529 × -2 + -426, so remainder = -426.\n</reasoning>\nFinal Answer: -426"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×35)/1 = 1085.\n</reasoning>\nFinal Answer: 1085"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 10 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 1/60 = 10.0167 hours. Distance = speed × time = 99 × 10.0167 = 991.65 km.\n</reasoning>\nFinal Answer: 991.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 10 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 30+100-47=83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 94 apples and buys 65 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 94 + 65 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×17)/1 = 425.\n</reasoning>\nFinal Answer: 425"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 97 apples and buys 67 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 97 + 67 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 - 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/13 - 16/6. LCD = 39. Result = -59/39.\n</reasoning>\nFinal Answer: -59/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36178 at 18% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36178 × 18 × 7 / 100 = 45584.28.\n</reasoning>\nFinal Answer: 45584.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 8, 65, 31, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 8: 1, 65: 1, 31: 1, 83: 1}. Most frequent: [7, 8, 65, 31, 83].\n</reasoning>\nFinal Answer: [7, 8, 65, 31, 83]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 744 km apart. Their speeds are 101 km/h and 104 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+104=205 km/h. Time = 744/205 = 3.6293 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 * 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/7) × (4/5) = (68/35) = 68/35 after simplification.\n</reasoning>\nFinal Answer: 68/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 34 = 984"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 25x = 950. Divide by 25: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -23 mod 225"
},
{
"role": "assistant",
"content": "<reasoning>\n-23 mod 225: -23 = 225 × -1 + 202, so remainder = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -960 ÷ 527"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -960 by 527. -960 ÷ 527 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -626 × 610"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -626 by 610: -626 × 610 = -381860.\n</reasoning>\nFinal Answer: -381860"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -10 = -20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 5x = -10. Divide by 5: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 12, 67, 11, 99, 72, 22, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 22, 29, 64, 67, 72, 99]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:5 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/5, so B = A × (5/24) = 28 × 5/24 = 5.8333.\n</reasoning>\nFinal Answer: 5.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -737 + -160"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -737 and -160: -737 + -160 = -897.\n</reasoning>\nFinal Answer: -897"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 34 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 34 × 81 = 2754.\n</reasoning>\nFinal Answer: 2754"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:48 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/48, so B = A × (48/17) = 43 × 48/17 = 121.4118.\n</reasoning>\nFinal Answer: 121.4118"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 71 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 71 + 102 = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -959 × -251"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -959 by -251: -959 × -251 = 240709.\n</reasoning>\nFinal Answer: 240709"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹813. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 813 × 5/100 = 40.65. Total = 813 + 40.65 = 853.65.\n</reasoning>\nFinal Answer: 853.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -18 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 12x = 48. Divide by 12: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 59, 68, 42, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 8 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 15, 16, 19] and B = [3, 5, 7, 10, 11, 12, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 10, 11, 12, 16, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 * 4/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/10) × (4/4) = (40/40) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -33 = 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 4x = 180. Divide by 4: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 100, 93, 15, 54, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 15 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 28 = 1180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 24x = 1152. Divide by 24: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3248. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3248 × 5/100 = 162.4. Total = 3248 + 162.4 = 3410.4.\n</reasoning>\nFinal Answer: 3410.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 470 km apart. Their speeds are 87 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+52=139 km/h. Time = 470/139 = 3.3813 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 34 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 34 × 31 = 1054.\n</reasoning>\nFinal Answer: 1054"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [16, 21, 47, 53, 84, 34, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 309/7 = 44.1429.\n</reasoning>\nFinal Answer: 44.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 17% of 883?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 883 = (17/100) × 883 = 150.11.\n</reasoning>\nFinal Answer: 150.11"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 2 = 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 21x = 42. Divide by 21: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -290 × 644"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -290 by 644: -290 × 644 = -186760.\n</reasoning>\nFinal Answer: -186760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [43, 40, 97, 73, 12, 87, 91, 70, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 600/9 = 66.6667.\n</reasoning>\nFinal Answer: 66.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 36, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 36 + 37 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 9 apples and buys 29 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 9 + 29 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 14 ÷ -994"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 14 by -994. 14 ÷ -994 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 85 and 96."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(85,96) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 32 = 144.0.\n</reasoning>\nFinal Answer: 144.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 * 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/11) × (16/6) = (112/66) = 56/33 after simplification.\n</reasoning>\nFinal Answer: 56/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
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