messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -3 × 373"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -3 by 373: -3 × 373 = -1119.\n</reasoning>\nFinal Answer: -1119"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 77 = 2502.5.\n</reasoning>\nFinal Answer: 2502.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "138 is what percentage of 138?"
},
{
"role": "assistant",
"content": "<reasoning>\n(138/138) × 100 = 100.0%.\n</reasoning>\nFinal Answer: 100.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 49 apples and buys 198 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 49 + 198 = 247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 49 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 7x = -133. Divide by 7: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -3 = 42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 5x = 45. Divide by 5: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:9 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/9, so B = A × (9/35) = 72 × 9/35 = 18.5143.\n</reasoning>\nFinal Answer: 18.5143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 37 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 39+1369-34=1374.\n</reasoning>\nFinal Answer: 1374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "175 is what percentage of 195?"
},
{
"role": "assistant",
"content": "<reasoning>\n(175/195) × 100 = 89.7436%.\n</reasoning>\nFinal Answer: 89.7436%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 12, 56, 13, 89, 94, 26, 78, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 12: 1, 56: 1, 13: 1, 89: 1, 94: 1, 26: 1, 78: 1, 8: 1}. Most frequent: [33, 12, 56, 13, 89, 94, 26, 78, 8].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 868 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 868 × (1 + 35/100) = 868 × 1.35 = 1171.8.\n</reasoning>\nFinal Answer: 1171.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 345 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 345 × (1 - 17/100) = 345 × 0.83 = 286.35.\n</reasoning>\nFinal Answer: 286.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -441 mod 16"
},
{
"role": "assistant",
"content": "<reasoning>\n-441 mod 16: -441 = 16 × -28 + 7, so remainder = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 92 = 1196.0.\n</reasoning>\nFinal Answer: 1196.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 49 + 44 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×49=1862 and 44×32=1408, then add: 3270.\n</reasoning>\nFinal Answer: 3270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:9 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/9, so B = A × (9/28) = 18 × 9/28 = 5.7857.\n</reasoning>\nFinal Answer: 5.7857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 26. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 26² = π × 676 ≈ 2123.7166.\n</reasoning>\nFinal Answer: 2123.7166"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Calculate: 358 ÷ 655"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 358 by 655. 358 ÷ 655 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 23 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 23 × 18 = 207.0.\n</reasoning>\nFinal Answer: 207.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 37) * (46 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+37)=55, (46-8)=38, then 55×38=2090.\n</reasoning>\nFinal Answer: 2090"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/9 / 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/9) ÷ (10/1) = (2/9) × (1/10) = 1/45.\n</reasoning>\nFinal Answer: 1/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:3 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/3, so B = A × (3/47) = 71 × 3/47 = 4.5319.\n</reasoning>\nFinal Answer: 4.5319"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 65% of 420?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 420 = (65/100) × 420 = 273.0.\n</reasoning>\nFinal Answer: 273.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -1 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 1x = 29. Divide by 1: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 380 + 167"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 380 and 167: 380 + 167 = 547.\n</reasoning>\nFinal Answer: 547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -172 + -783"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -172 and -783: -172 + -783 = -955.\n</reasoning>\nFinal Answer: -955"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 91, 98, 69, 66, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 403/6 = 67.1667.\n</reasoning>\nFinal Answer: 67.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 133."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 133 by smallest primes repeatedly: 133 = 7 × 19.\n</reasoning>\nFinal Answer: 7 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 20 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+20) × 45 = 810.0.\n</reasoning>\nFinal Answer: 810.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 47 + 20 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×47=1880 and 20×24=480, then add: 2360.\n</reasoning>\nFinal Answer: 2360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [8, 12, 13, 18] and B = [4, 5, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 12, 13, 18].\n</reasoning>\nFinal Answer: [8, 12, 13, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -12 = -72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 12x = -60. Divide by 12: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [4, 39, 88, 29, 62, 61, 30, 95, 35, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {4: 1, 39: 1, 88: 1, 29: 1, 62: 1, 61: 1, 30: 1, 95: 1, 35: 1, 58: 1}. Most frequent: [4, 39, 88, 29, 62, 61, 30, 95, 35, 58].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:23 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/23, so B = A × (23/20) = 53 × 23/20 = 60.95.\n</reasoning>\nFinal Answer: 60.95"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -6 mod 617"
},
{
"role": "assistant",
"content": "<reasoning>\n-6 mod 617: -6 = 617 × -1 + 611, so remainder = 611.\n</reasoning>\nFinal Answer: 611"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 7, 9, 12, 13, 18] and B = [4, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 4, 6, 7, 9, 12, 13, 17].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 18 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 18 × 68 = 1224.\n</reasoning>\nFinal Answer: 1224"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -537 - 283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 283 from -537: -537 - 283 = -820.\n</reasoning>\nFinal Answer: -820"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -931 ÷ -188"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -931 by -188. -931 ÷ -188 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 391 + -736"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 391 and -736: 391 + -736 = -345.\n</reasoning>\nFinal Answer: -345"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 85 = 5270.\n</reasoning>\nFinal Answer: 5270"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [1, 3, 9, 27, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 1 and ratio 3. Next term = 81 × 3 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 - 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/7 - 9/4. LCD = 28. Result = 17/28.\n</reasoning>\nFinal Answer: 17/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find log base 2 of 128."
},
{
"role": "assistant",
"content": "<reasoning>\nlog_2(128) = 7 because 2^7 = 128.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"logarithms"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 841 km apart. Their speeds are 50 km/h and 56 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 50+56=106 km/h. Time = 841/106 = 7.934 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [47, 88, 48, 60, 25, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 355/6 = 59.1667.\n</reasoning>\nFinal Answer: 59.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 11 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 11 = 165 worker-days. New time = 165 / 19 = 8.6842 days.\n</reasoning>\nFinal Answer: 8.6842"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 * 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/8) × (1/9) = (16/72) = 2/9 after simplification.\n</reasoning>\nFinal Answer: 2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2598 at 13% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2598 × 13 × 1 / 100 = 337.74.\n</reasoning>\nFinal Answer: 337.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹416. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 416 × 12/100 = 49.92. Total = 416 + 49.92 = 465.92.\n</reasoning>\nFinal Answer: 465.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4675. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4675 × 28/100 = 1309.0. Total = 4675 + 1309.0 = 5984.0.\n</reasoning>\nFinal Answer: 5984.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 12, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (29-1)×12 = 6 + 336 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -49 = -166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 3x = -117. Divide by 3: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 50 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+50) × 50 = 2325.0.\n</reasoning>\nFinal Answer: 2325.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10943 at 4% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10943 × 4 × 10 / 100 = 4377.2.\n</reasoning>\nFinal Answer: 4377.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 16 * 14 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×14=224, then 21+224-34=211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 46 * 10 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×10=460, then 23+460-28=455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 25% of 198?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 198 = (25/100) × 198 = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 6 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 17/60 = 6.2833 hours. Distance = speed × time = 121 × 6.2833 = 760.2833 km.\n</reasoning>\nFinal Answer: 760.2833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 58, 53, 87, 69, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 58: 1, 53: 1, 87: 1, 69: 1, 57: 1}. Most frequent: [95, 58, 53, 87, 69, 57].\n</reasoning>\nFinal Answer: [95, 58, 53, 87, 69, 57]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:7 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/7, so B = A × (7/39) = 20 × 7/39 = 3.5897.\n</reasoning>\nFinal Answer: 3.5897"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 765 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 765 × (1 + 60/100) = 765 × 1.6 = 1224.0.\n</reasoning>\nFinal Answer: 1224.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33851 at 17% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33851 × 17 × 9 / 100 = 51792.03.\n</reasoning>\nFinal Answer: 51792.03"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 687 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 687 × (1 - 12/100) = 687 × 0.88 = 604.56.\n</reasoning>\nFinal Answer: 604.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 8 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+8) × 13 = 364.0.\n</reasoning>\nFinal Answer: 364.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/8 * 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/8) × (14/1) = (182/8) = 91/4 after simplification.\n</reasoning>\nFinal Answer: 91/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 158 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 158 × (1 + 40/100) = 158 × 1.4 = 221.2.\n</reasoning>\nFinal Answer: 221.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 * 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/4) × (12/15) = (192/60) = 16/5 after simplification.\n</reasoning>\nFinal Answer: 16/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -28 = 561"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 19x = 589. Divide by 19: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 31 × -730"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 31 by -730: 31 × -730 = -22630.\n</reasoning>\nFinal Answer: -22630"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 238."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 238 by smallest primes repeatedly: 238 = 2 × 7 × 17.\n</reasoning>\nFinal Answer: 2 × 7 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18123 at 6% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18123 × 6 × 7 / 100 = 7611.66.\n</reasoning>\nFinal Answer: 7611.66"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 3 = 458"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 13x = 455. Divide by 13: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 17 × 280"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 17 by 280: 17 × 280 = 4760.\n</reasoning>\nFinal Answer: 4760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 782 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 782 × (1 + 3/100) = 782 × 1.03 = 805.46.\n</reasoning>\nFinal Answer: 805.46"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 186 - -825"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -825 from 186: 186 - -825 = 1011.\n</reasoning>\nFinal Answer: 1011"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 20, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (13-1)×20 = 20 + 240 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 106 apples and buys 65 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 106 + 65 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 2, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (23-1)×2 = 22 + 44 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -351 mod -555"
},
{
"role": "assistant",
"content": "<reasoning>\n-351 mod -555: -351 = -555 × 0 + -351, so remainder = -351.\n</reasoning>\nFinal Answer: -351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -506 mod 453"
},
{
"role": "assistant",
"content": "<reasoning>\n-506 mod 453: -506 = 453 × -2 + 400, so remainder = 400.\n</reasoning>\nFinal Answer: 400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 79 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 79 × 59 = 2330.5.\n</reasoning>\nFinal Answer: 2330.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 5 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 5 = 85 worker-days. New time = 85 / 10 = 8.5 days.\n</reasoning>\nFinal Answer: 8.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/8 + 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/8 + 13/7. Common denominator = 56. Result = 167/56.\n</reasoning>\nFinal Answer: 167/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 * 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/8) × (5/13) = (70/104) = 35/52 after simplification.\n</reasoning>\nFinal Answer: 35/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 30, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 30 + 32 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 7% of 677?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 677 = (7/100) × 677 = 47.39.\n</reasoning>\nFinal Answer: 47.39"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 168 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(168,30) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 12 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 38+144-39=143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 28 + 37 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×28=588 and 37×5=185, then add: 773.\n</reasoning>\nFinal Answer: 773"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 97, 52, 4, 86, 36, 95, 49, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 486/9 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33796 at 19% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33796 × 19 × 9 / 100 = 57791.16.\n</reasoning>\nFinal Answer: 57791.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 / 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/12) ÷ (15/8) = (6/12) × (8/15) = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [12, 58, 34, 83, 6, 59, 86, 80, 34, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {12: 1, 58: 1, 34: 2, 83: 1, 6: 1, 59: 1, 86: 1, 80: 1, 67: 1}. Most frequent: 34.\n</reasoning>\nFinal Answer: 34"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹1110. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1110 × 12/100 = 133.2. Total = 1110 + 133.2 = 1243.2.\n</reasoning>\nFinal Answer: 1243.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 62, 57, 83, 80, 34, 38, 52, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [34, 35, 38, 52, 57, 62, 79, 80, 83]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 38 + 47 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×38=76 and 47×32=1504, then add: 1580.\n</reasoning>\nFinal Answer: 1580"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 85, 83, 30, 39, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 85: 1, 83: 1, 30: 1, 39: 1, 21: 1}. Most frequent: [20, 85, 83, 30, 39, 21].\n</reasoning>\nFinal Answer: [20, 85, 83, 30, 39, 21]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 - 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/5 - 17/12. LCD = 60. Result = 71/60.\n</reasoning>\nFinal Answer: 71/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 30 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 30 = 480 worker-days. New time = 480 / 6 = 80.0 days.\n</reasoning>\nFinal Answer: 80.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
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