messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 46 * 46 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×46=2116, then 31+2116-8=2139.\n</reasoning>\nFinal Answer: 2139"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -596 ÷ 18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -596 by 18. -596 ÷ 18 = -34 (integer division).\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 154 km/h. How far does it travel in 10 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 46/60 = 10.7667 hours. Distance = speed × time = 154 × 10.7667 = 1658.0667 km.\n</reasoning>\nFinal Answer: 1658.0667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 265 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 265 × (1 - 30/100) = 265 × 0.7 = 185.5.\n</reasoning>\nFinal Answer: 185.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 257 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 257 × (1 - 7/100) = 257 × 0.9299999999999999 = 239.01.\n</reasoning>\nFinal Answer: 239.01"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 12, 18] and B = [2, 10, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 71, 91, 62, 39, 94, 58, 30, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 30, 39, 45, 58, 62, 71, 91, 94]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 962 ÷ -291"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 962 by -291. 962 ÷ -291 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -824 ÷ 331"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -824 by 331. -824 ÷ 331 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 * 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/14) × (10/5) = (10/70) = 1/7 after simplification.\n</reasoning>\nFinal Answer: 1/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/13 + 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/13 + 8/4. Common denominator = 13. Result = 35/13.\n</reasoning>\nFinal Answer: 35/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 94 km/h. How far does it travel in 7 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 38/60 = 7.6333 hours. Distance = speed × time = 94 × 7.6333 = 717.5333 km.\n</reasoning>\nFinal Answer: 717.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 * 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/9) × (13/10) = (104/90) = 52/45 after simplification.\n</reasoning>\nFinal Answer: 52/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 5) * (35 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+5)=53, (35-21)=14, then 53×14=742.\n</reasoning>\nFinal Answer: 742"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 38 = 296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 6x = 258. Divide by 6: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 19, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (26-1)×19 = 37 + 475 = 512.\n</reasoning>\nFinal Answer: 512"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 26 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 26x = -130. Divide by 26: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -461 - -206"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -206 from -461: -461 - -206 = -255.\n</reasoning>\nFinal Answer: -255"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2565. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2565 × 28/100 = 718.2. Total = 2565 + 718.2 = 3283.2.\n</reasoning>\nFinal Answer: 3283.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:14 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/14, so B = A × (14/44) = 25 × 14/44 = 7.9545.\n</reasoning>\nFinal Answer: 7.9545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 950 km apart. Their speeds are 41 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+63=104 km/h. Time = 950/104 = 9.1346 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -39 = 401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 10x = 440. Divide by 10: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:47 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/47, so B = A × (47/35) = 74 × 47/35 = 99.3714.\n</reasoning>\nFinal Answer: 99.3714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 38 = -634"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 14x = -672. Divide by 14: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 13, 17] and B = [1, 3, 10], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 9, 10, 13, 17].\n</reasoning>\nFinal Answer: [1, 3, 4, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 201 × 247"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 201 by 247: 201 × 247 = 49647.\n</reasoning>\nFinal Answer: 49647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 + 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/13 + 9/20. Common denominator = 260. Result = 497/260.\n</reasoning>\nFinal Answer: 497/260"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -28 = -308"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 28x = -280. Divide by 28: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -944 mod 379"
},
{
"role": "assistant",
"content": "<reasoning>\n-944 mod 379: -944 = 379 × -3 + 193, so remainder = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 619 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 619 × (1 - 100/100) = 619 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×19)/1 = 627.\n</reasoning>\nFinal Answer: 627"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 73 = 3613.5.\n</reasoning>\nFinal Answer: 3613.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 18 = 1602.\n</reasoning>\nFinal Answer: 1602"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 / 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/20) ÷ (19/7) = (1/20) × (7/19) = 7/380.\n</reasoning>\nFinal Answer: 7/380"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -233 ÷ 542"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -233 by 542. -233 ÷ 542 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 11, 14] and B = [6, 11, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 6, 7, 8, 13, 14].\n</reasoning>\nFinal Answer: [4, 6, 7, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -18 = 72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 2x = 90. Divide by 2: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 564 × -779"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 564 by -779: 564 × -779 = -439356.\n</reasoning>\nFinal Answer: -439356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 66, 31, 38, 53, 93, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 66: 1, 31: 1, 38: 1, 53: 1, 93: 1, 87: 1}. Most frequent: [54, 66, 31, 38, 53, 93, 87].\n</reasoning>\nFinal Answer: [54, 66, 31, 38, 53, 93... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 - 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/6 - 9/14. LCD = 14. Result = 33/14.\n</reasoning>\nFinal Answer: 33/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 67, 72, 19, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 319/5 = 63.8.\n</reasoning>\nFinal Answer: 63.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 49 * 46 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×46=2254, then 44+2254-44=2254.\n</reasoning>\nFinal Answer: 2254"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 44, 79, 97, 88, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 44: 1, 79: 1, 97: 1, 88: 1, 4: 1}. Most frequent: [8, 44, 79, 97, 88, 4].\n</reasoning>\nFinal Answer: [8, 44, 79, 97, 88, 4]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -480 × -750"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -480 by -750: -480 × -750 = 360000.\n</reasoning>\nFinal Answer: 360000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -359 mod 513"
},
{
"role": "assistant",
"content": "<reasoning>\n-359 mod 513: -359 = 513 × -1 + 154, so remainder = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -9 = -259"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 25x = -250. Divide by 25: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 577 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 577 × (1 - 5/100) = 577 × 0.95 = 548.15.\n</reasoning>\nFinal Answer: 548.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 1, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (17-1)×1 = 12 + 16 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 590 - -352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -352 from 590: 590 - -352 = 942.\n</reasoning>\nFinal Answer: 942"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 796 × 282"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 796 by 282: 796 × 282 = 224472.\n</reasoning>\nFinal Answer: 224472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 / 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/5) ÷ (2/12) = (14/5) × (12/2) = 84/5.\n</reasoning>\nFinal Answer: 84/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (5)x + (-50) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×1×-50 = 225. √discriminant = 15. x = (-(5) ± 15) / (2×1). Solutions: x = 5 or x = -10.\n</reasoning>\nFinal Answer: x = 5 or x = -10"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 3 = -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 6x = -252. Divide by 6: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 59 ÷ 70"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 59 by 70. 59 ÷ 70 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:15 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/15, so B = A × (15/11) = 47 × 15/11 = 64.0909.\n</reasoning>\nFinal Answer: 64.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 266 mod 964"
},
{
"role": "assistant",
"content": "<reasoning>\n266 mod 964: 266 = 964 × 0 + 266, so remainder = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 * 9/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/19) × (9/16) = (99/304) = 99/304 after simplification.\n</reasoning>\nFinal Answer: 99/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:45 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/45, so B = A × (45/50) = 83 × 45/50 = 74.7.\n</reasoning>\nFinal Answer: 74.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 6, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (38-1)×6 = 6 + 222 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 20 = 647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 19x = 627. Divide by 19: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 616 - 234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 234 from 616: 616 - 234 = 382.\n</reasoning>\nFinal Answer: 382"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 790 + -546"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 790 and -546: 790 + -546 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 65% of 611?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 611 = (65/100) × 611 = 397.15.\n</reasoning>\nFinal Answer: 397.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 27 = 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 13x = 195. Divide by 13: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 28 = 249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 17x = 221. Divide by 17: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 5 = -242"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 13x = -247. Divide by 13: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 46 = -240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 22x = -286. Divide by 22: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -922 × 479"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -922 by 479: -922 × 479 = -441638.\n</reasoning>\nFinal Answer: -441638"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 442 - 259"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 259 from 442: 442 - 259 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (4)x + (-70) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×2×-70 = 576. √discriminant = 24. x = (-(4) ± 24) / (2×2). Solutions: x = 5 or x = -7.\n</reasoning>\nFinal Answer: x = 5 or x = -7"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:18 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/18, so B = A × (18/9) = 83 × 18/9 = 166.0.\n</reasoning>\nFinal Answer: 166.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 39 + 35 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×39=78 and 35×15=525, then add: 603.\n</reasoning>\nFinal Answer: 603"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 62 = 403.0.\n</reasoning>\nFinal Answer: 403.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 65 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 65 × (1 - 35/100) = 65 × 0.65 = 42.25.\n</reasoning>\nFinal Answer: 42.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "45 is what percentage of 103?"
},
{
"role": "assistant",
"content": "<reasoning>\n(45/103) × 100 = 43.6893%.\n</reasoning>\nFinal Answer: 43.6893%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 159 apples and buys 91 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 159 + 91 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 42, 51, 60, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 9. Next term = 69 + 9 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 3 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+3) × 8 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 100% of 217?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 217 = (100/100) × 217 = 217.0.\n</reasoning>\nFinal Answer: 217.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 594 + 463"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 594 and 463: 594 + 463 = 1057.\n</reasoning>\nFinal Answer: 1057"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 17 = -39"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 4x = -56. Divide by 4: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 990 km apart. Their speeds are 65 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+118=183 km/h. Time = 990/183 = 5.4098 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 9 = 225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 12x = 216. Divide by 12: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 49, 38, 35, 15, 92, 7, 59, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 15, 35, 38, 49, 59, 66, 75, 92]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 458 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 458 × (1 + 40/100) = 458 × 1.4 = 641.2.\n</reasoning>\nFinal Answer: 641.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 14, and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 14 + 15 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 38 * 26 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×26=988, then 34+988-4=1018.\n</reasoning>\nFinal Answer: 1018"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 48 = 1392.0.\n</reasoning>\nFinal Answer: 1392.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 11, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (24-1)×11 = 22 + 253 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -34 = -502"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 13x = -468. Divide by 13: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 5 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 29/60 = 5.4833 hours. Distance = speed × time = 153 × 5.4833 = 838.95 km.\n</reasoning>\nFinal Answer: 838.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 11, 13, 15, 16, 19] and B = [7, 9, 10, 13, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 7, 8, 9, 10, 11, 13, 15, 16, 19].\n</reasoning>\nFinal Answer: [4, 7, 8,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 110 km/h. How far does it travel in 1 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 24/60 = 1.4000 hours. Distance = speed × time = 110 × 1.4000 = 154.0 km.\n</reasoning>\nFinal Answer: 154.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 84 = 5460.\n</reasoning>\nFinal Answer: 5460"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 143 apples and buys 30 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 143 + 30 = 173.\n</reasoning>\nFinal Answer: 173"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 324 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 324 × (1 - 3/100) = 324 × 0.97 = 314.28.\n</reasoning>\nFinal Answer: 314.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 42 * 32 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×32=1344, then 3+1344-49=1298.\n</reasoning>\nFinal Answer: 1298"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 600 + 423"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 600 and 423: 600 + 423 = 1023.\n</reasoning>\nFinal Answer: 1023"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 61 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 61 × 41 = 1250.5.\n</reasoning>\nFinal Answer: 1250.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:9 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/9, so B = A × (9/31) = 80 × 9/31 = 23.2258.\n</reasoning>\nFinal Answer: 23.2258"
}
] | medium | [
"ratio",
"proportion"
] |
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