messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -294 mod 194"
},
{
"role": "assistant",
"content": "<reasoning>\n-294 mod 194: -294 = 194 × -2 + 94, so remainder = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 17 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 3+289-42=250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -888 mod -244"
},
{
"role": "assistant",
"content": "<reasoning>\n-888 mod -244: -888 = -244 × 3 + -156, so remainder = -156.\n</reasoning>\nFinal Answer: -156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 24, 17, 88, 28, 94, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 24: 1, 17: 1, 88: 1, 28: 1, 94: 1, 48: 1}. Most frequent: [61, 24, 17, 88, 28, 94, 48].\n</reasoning>\nFinal Answer: [61, 24, 17, 88, 28, 94... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 15, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (32-1)×15 = 47 + 465 = 512.\n</reasoning>\nFinal Answer: 512"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 - 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/11 - 13/2. LCD = 22. Result = -123/22.\n</reasoning>\nFinal Answer: -123/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 26) * (19 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+26)=51, (19-23)=-4, then 51×-4=-204.\n</reasoning>\nFinal Answer: -204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -30 = -420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 15x = -390. Divide by 15: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 44 km/h. How far does it travel in 6 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 4/60 = 6.0667 hours. Distance = speed × time = 44 × 6.0667 = 266.9333 km.\n</reasoning>\nFinal Answer: 266.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -43 = -571"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 22x = -528. Divide by 22: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 53, 99, 67, 79, 62, 25, 58, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 53: 1, 99: 1, 67: 1, 79: 1, 62: 1, 25: 1, 58: 1, 57: 1}. Most frequent: [81, 53, 99, 67, 79, 62, 25, 58, 57].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 16 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 16 × 7 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 275 ÷ 359"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 275 by 359. 275 ÷ 359 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 422 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 422 × (1 - 40/100) = 422 × 0.6 = 253.2.\n</reasoning>\nFinal Answer: 253.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:31 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/31, so B = A × (31/6) = 9 × 31/6 = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 896 km apart. Their speeds are 54 km/h and 42 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+42=96 km/h. Time = 896/96 = 9.3333 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 613 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 613 × (1 + 12/100) = 613 × 1.12 = 686.56.\n</reasoning>\nFinal Answer: 686.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "335 is what percentage of 532?"
},
{
"role": "assistant",
"content": "<reasoning>\n(335/532) × 100 = 62.9699%.\n</reasoning>\nFinal Answer: 62.9699%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "97 is what percentage of 489?"
},
{
"role": "assistant",
"content": "<reasoning>\n(97/489) × 100 = 19.8364%.\n</reasoning>\nFinal Answer: 19.8364%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -1 = -235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 9x = -234. Divide by 9: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 92, 56, 78, 31, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 92: 1, 56: 1, 78: 1, 31: 1, 21: 1}. Most frequent: [7, 92, 56, 78, 31, 21].\n</reasoning>\nFinal Answer: [7, 92, 56, 78, 31, 21]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 22) * (33 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+22)=34, (33-39)=-6, then 34×-6=-204.\n</reasoning>\nFinal Answer: -204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -1 = 341"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 9x = 342. Divide by 9: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -31 = -181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 3x = -150. Divide by 3: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 11 = 557"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 21x = 546. Divide by 21: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 125 km apart. Their speeds are 51 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 51+98=149 km/h. Time = 125/149 = 0.8389 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 7 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 24+49-13=60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 58 - -870"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -870 from 58: 58 - -870 = 928.\n</reasoning>\nFinal Answer: 928"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 95, 78, 93, 15, 8, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 8 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -8 = -920"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 19x = -912. Divide by 19: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [42, 97, 34, 49, 2, 3, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 282/7 = 40.2857.\n</reasoning>\nFinal Answer: 40.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -442 mod 992"
},
{
"role": "assistant",
"content": "<reasoning>\n-442 mod 992: -442 = 992 × -1 + 550, so remainder = 550.\n</reasoning>\nFinal Answer: 550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 17) * (45 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+17)=48, (45-31)=14, then 48×14=672.\n</reasoning>\nFinal Answer: 672"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 7, 9, 11, 14, 18] and B = [2, 4, 6, 8, 15, 18, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 7, 8, 9, 11, 14, 15, 19].\n</reaso... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 919 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 919 × (1 + 15/100) = 919 × 1.15 = 1056.85.\n</reasoning>\nFinal Answer: 1056.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 367 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 367 × (1 + 25/100) = 367 × 1.25 = 458.75.\n</reasoning>\nFinal Answer: 458.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:25 and A = 58, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/25, so B = A × (25/40) = 58 × 25/40 = 36.25.\n</reasoning>\nFinal Answer: 36.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 10 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 32+100-1=131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 22 = 902"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 20x = 880. Divide by 20: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 13 = 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 14x = 238. Divide by 14: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 38, 41, 44, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 3. Next term = 47 + 3 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 54 and 158."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(54,158) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [61, 67, 27, 30, 79, 88, 58, 11, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 436/9 = 48.4444.\n</reasoning>\nFinal Answer: 48.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹115. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 115 × 12/100 = 13.8. Total = 115 + 13.8 = 128.8.\n</reasoning>\nFinal Answer: 128.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [91, 24, 96, 14, 83, 68, 3, 64, 39, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 3 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -316 ÷ -118"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -316 by -118. -316 ÷ -118 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 449 - 186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 186 from 449: 449 - 186 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 6, 82, 70, 92, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 6 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 32 * 49 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×49=1568, then 10+1568-31=1547.\n</reasoning>\nFinal Answer: 1547"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 20 and 54."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(20,54) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 23 = 989.0.\n</reasoning>\nFinal Answer: 989.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 43 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 11+1849-32=1828.\n</reasoning>\nFinal Answer: 1828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:22 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/22, so B = A × (22/4) = 49 × 22/4 = 269.5.\n</reasoning>\nFinal Answer: 269.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 11, 13, 16] and B = [1, 2, 4, 5, 7, 9, 11, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 5, 11].\n</reasoning>\nFinal Answer: [4, 5, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 35 + 1 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×35=420 and 1×40=40, then add: 460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 40 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 18x = -306. Divide by 18: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1160. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1160 × 12/100 = 139.2. Total = 1160 + 139.2 = 1299.2.\n</reasoning>\nFinal Answer: 1299.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -29 - -265"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -265 from -29: -29 - -265 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39756 at 14% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39756 × 14 × 1 / 100 = 5565.84.\n</reasoning>\nFinal Answer: 5565.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -226 mod -250"
},
{
"role": "assistant",
"content": "<reasoning>\n-226 mod -250: -226 = -250 × 0 + -226, so remainder = -226.\n</reasoning>\nFinal Answer: -226"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 35, 25, 94, 14, 10, 9, 95, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 35: 1, 25: 1, 94: 1, 14: 1, 10: 1, 9: 1, 95: 1, 66: 1}. Most frequent: [32, 35, 25, 94, 14, 10, 9, 95, 66].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 88 = 5896.\n</reasoning>\nFinal Answer: 5896"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 70 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 70 × 89 = 3115.0.\n</reasoning>\nFinal Answer: 3115.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 18 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+18) × 44 = 1232.0.\n</reasoning>\nFinal Answer: 1232.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -33 = -12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 7x = 21. Divide by 7: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 32 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 34+1024-42=1016.\n</reasoning>\nFinal Answer: 1016"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 10, 12, 13, 14] and B = [6, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 6, 7, 10, 12, 13, 15].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 402 km apart. Their speeds are 68 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+52=120 km/h. Time = 402/120 = 3.35 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 17 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 17 = 221 worker-days. New time = 221 / 9 = 24.5556 days.\n</reasoning>\nFinal Answer: 24.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 98 = 735.0.\n</reasoning>\nFinal Answer: 735.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 2."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+2) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 60 - -455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -455 from 60: 60 - -455 = 515.\n</reasoning>\nFinal Answer: 515"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45016 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45016 × 8 × 3 / 100 = 10803.84.\n</reasoning>\nFinal Answer: 10803.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 - 4/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/13 - 4/3. LCD = 39. Result = -28/39.\n</reasoning>\nFinal Answer: -28/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:4 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/4, so B = A × (4/40) = 66 × 4/40 = 6.6.\n</reasoning>\nFinal Answer: 6.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 + 29 * 34 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×34=986, then 7+986-48=945.\n</reasoning>\nFinal Answer: 945"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 18, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (40-1)×18 = 22 + 702 = 724.\n</reasoning>\nFinal Answer: 724"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 48 = 393"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 15x = 345. Divide by 15: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 65, 49, 24, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 24, 49, 65, 83]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 29, 50, 51, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 29: 1, 50: 1, 51: 1, 36: 1}. Most frequent: [57, 29, 50, 51, 36].\n</reasoning>\nFinal Answer: [57, 29, 50, 51, 36]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 47 = -8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 5x = -55. Divide by 5: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 65 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 65 × 32 = 2080.\n</reasoning>\nFinal Answer: 2080"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 16 * 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×2=32, then 37+32-38=31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 816 - -981"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -981 from 816: 816 - -981 = 1797.\n</reasoning>\nFinal Answer: 1797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -36 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 13x = 442. Divide by 13: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "79 is what percentage of 137?"
},
{
"role": "assistant",
"content": "<reasoning>\n(79/137) × 100 = 57.6642%.\n</reasoning>\nFinal Answer: 57.6642%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 3 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 3+9-25=-13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 256 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 256 × (1 + 3/100) = 256 × 1.03 = 263.68.\n</reasoning>\nFinal Answer: 263.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 76, 68, 61, 12, 79, 8, 44, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 76: 1, 68: 1, 61: 1, 12: 1, 79: 1, 8: 1, 44: 1, 95: 1}. Most frequent: [89, 76, 68, 61, 12, 79, 8, 44, 95].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 37 * 7 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×7=259, then 29+259-40=248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 12 = 1032.\n</reasoning>\nFinal Answer: 1032"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -724 - 767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 767 from -724: -724 - 767 = -1491.\n</reasoning>\nFinal Answer: -1491"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 658 ÷ -620"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 658 by -620. 658 ÷ -620 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 65 = 2405.\n</reasoning>\nFinal Answer: 2405"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 * 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/9) × (10/1) = (130/9) = 130/9 after simplification.\n</reasoning>\nFinal Answer: 130/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 609 ÷ 845"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 609 by 845. 609 ÷ 845 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 3 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 16/60 = 3.2667 hours. Distance = speed × time = 147 × 3.2667 = 480.2 km.\n</reasoning>\nFinal Answer: 480.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 143 km/h. How far does it travel in 6 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 21/60 = 6.3500 hours. Distance = speed × time = 143 × 6.3500 = 908.05 km.\n</reasoning>\nFinal Answer: 908.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 177 apples and buys 108 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 177 + 108 = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:30 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/30, so B = A × (30/42) = 45 × 30/42 = 32.1429.\n</reasoning>\nFinal Answer: 32.1429"
}
] | medium | [
"ratio",
"proportion"
] |
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