messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 15x + -32 = 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 15x = 150. Divide by 15: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 46 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 15+2116-42=2089.\n</reasoning>\nFinal Answer: 2089"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:5 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/5, so B = A × (5/15) = 74 × 5/15 = 24.6667.\n</reasoning>\nFinal Answer: 24.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 75 = 487.5.\n</reasoning>\nFinal Answer: 487.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 93 apples and buys 74 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 93 + 74 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (40)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 40² - 4×5×0 = 1600. √discriminant = 40. x = (-(40) ± 40) / (2×5). Solutions: x = 0 or x = -8.\n</reasoning>\nFinal Answer: x = 0 or x = -8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "What is 65% of 678?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 678 = (65/100) × 678 = 440.7.\n</reasoning>\nFinal Answer: 440.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 * 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/10) × (9/18) = (153/180) = 17/20 after simplification.\n</reasoning>\nFinal Answer: 17/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 95, 49, 89, 68, 60, 27, 15, 13, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 489/10 = 48.9.\n</reasoning>\nFinal Answer: 48.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 137 + 562"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 137 and 562: 137 + 562 = 699.\n</reasoning>\nFinal Answer: 699"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 12 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 12 = 228 worker-days. New time = 228 / 17 = 13.4118 days.\n</reasoning>\nFinal Answer: 13.4118"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 65, 75, 82, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 65: 1, 75: 1, 82: 1, 6: 1}. Most frequent: [71, 65, 75, 82, 6].\n</reasoning>\nFinal Answer: [71, 65, 75, 82, 6]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 707 × -256"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 707 by -256: 707 × -256 = -180992.\n</reasoning>\nFinal Answer: -180992"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 118 apples and buys 161 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 118 + 161 = 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 95 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 95 × (1 + 7/100) = 95 × 1.07 = 101.65.\n</reasoning>\nFinal Answer: 101.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 29 apples and buys 86 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 29 + 86 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 45% of 659?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 659 = (45/100) × 659 = 296.55.\n</reasoning>\nFinal Answer: 296.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 858 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 858 × (1 + 20/100) = 858 × 1.2 = 1029.6.\n</reasoning>\nFinal Answer: 1029.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2354. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2354 × 12/100 = 282.48. Total = 2354 + 282.48 = 2636.48.\n</reasoning>\nFinal Answer: 2636.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 5 = -97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 3x = -102. Divide by 3: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 50 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 50 × 26 = 650.0.\n</reasoning>\nFinal Answer: 650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -10 = 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 8x = 192. Divide by 8: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:36 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/36, so B = A × (36/38) = 25 × 36/38 = 23.6842.\n</reasoning>\nFinal Answer: 23.6842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 + 18/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/19 + 18/19. Common denominator = 19. Result = 25/19.\n</reasoning>\nFinal Answer: 25/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 666 km apart. Their speeds are 118 km/h and 59 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+59=177 km/h. Time = 666/177 = 3.7627 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -23 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 17x = 51. Divide by 17: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 256 - -830"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -830 from 256: 256 - -830 = 1086.\n</reasoning>\nFinal Answer: 1086"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -11 = 367"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 14x = 378. Divide by 14: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 115 apples and buys 160 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 115 + 160 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:9 and A = 30, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/9, so B = A × (9/26) = 30 × 9/26 = 10.3846.\n</reasoning>\nFinal Answer: 10.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 + 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/2 + 9/8. Common denominator = 8. Result = 65/8.\n</reasoning>\nFinal Answer: 65/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -50 = 1197"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 29x = 1247. Divide by 29: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 277 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 277 × (1 + 10/100) = 277 × 1.1 = 304.7.\n</reasoning>\nFinal Answer: 304.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 11 = 299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 6x = 288. Divide by 6: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 20, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 20 + 22 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:31 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/31, so B = A × (31/2) = 8 × 31/2 = 124.0.\n</reasoning>\nFinal Answer: 124.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -43 ÷ -535"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -43 by -535. -43 ÷ -535 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 148 km/h. How far does it travel in 6 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 11/60 = 6.1833 hours. Distance = speed × time = 148 × 6.1833 = 915.1333 km.\n</reasoning>\nFinal Answer: 915.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 12 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 49/60 = 12.8167 hours. Distance = speed × time = 49 × 12.8167 = 628.0167 km.\n</reasoning>\nFinal Answer: 628.0167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:49 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/49, so B = A × (49/42) = 22 × 49/42 = 25.6667.\n</reasoning>\nFinal Answer: 25.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 38 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 38 × 9 = 171.0.\n</reasoning>\nFinal Answer: 171.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -527 - 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 219 from -527: -527 - 219 = -746.\n</reasoning>\nFinal Answer: -746"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 9, 13, 15] and B = [1, 3, 7, 9, 10, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 7, 9, 10, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 5... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 22) * (33 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+22)=71, (33-25)=8, then 71×8=568.\n</reasoning>\nFinal Answer: 568"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18409 at 2% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18409 × 2 × 2 / 100 = 736.36.\n</reasoning>\nFinal Answer: 736.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 35 = -594"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 17x = -629. Divide by 17: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 * 15/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/7) × (15/11) = (165/77) = 15/7 after simplification.\n</reasoning>\nFinal Answer: 15/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 47, 19, 16, 88, 10, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 47: 1, 19: 1, 16: 1, 88: 1, 10: 1, 57: 1}. Most frequent: [73, 47, 19, 16, 88, 10, 57].\n</reasoning>\nFinal Answer: [73, 47, 19, 16, 88, 10... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×48)/3 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "46 is what percentage of 524?"
},
{
"role": "assistant",
"content": "<reasoning>\n(46/524) × 100 = 8.7786%.\n</reasoning>\nFinal Answer: 8.7786%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 93, 80, 22, 56, 95, 33, 97, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 528/9 = 58.6667.\n</reasoning>\nFinal Answer: 58.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 952 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 952 × (1 + 3/100) = 952 × 1.03 = 980.56.\n</reasoning>\nFinal Answer: 980.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 928?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 928 = (65/100) × 928 = 603.2.\n</reasoning>\nFinal Answer: 603.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 33 = 726.\n</reasoning>\nFinal Answer: 726"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:28 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/28, so B = A × (28/20) = 60 × 28/20 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 30 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 30 = 570 worker-days. New time = 570 / 10 = 57.0 days.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is the probability of rolling a 5 on a fair 6-sided die?"
},
{
"role": "assistant",
"content": "<reasoning>\nThere are 6 equally likely outcomes. Only 1 outcome gives 5. P = 1/6.\n</reasoning>\nFinal Answer: 1/6 ≈ 0.1667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "A train travels at 144 km/h. How far does it travel in 9 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 30/60 = 9.5000 hours. Distance = speed × time = 144 × 9.5000 = 1368.0 km.\n</reasoning>\nFinal Answer: 1368.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "20 is what percentage of 40?"
},
{
"role": "assistant",
"content": "<reasoning>\n(20/40) × 100 = 50.0%.\n</reasoning>\nFinal Answer: 50.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -787 ÷ -811"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -787 by -811. -787 ÷ -811 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:25 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/25, so B = A × (25/7) = 47 × 25/7 = 167.8571.\n</reasoning>\nFinal Answer: 167.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 33 * 27 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×27=891, then 25+891-28=888.\n</reasoning>\nFinal Answer: 888"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 3 + 20 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×3=78 and 20×19=380, then add: 458.\n</reasoning>\nFinal Answer: 458"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "767 is what percentage of 945?"
},
{
"role": "assistant",
"content": "<reasoning>\n(767/945) × 100 = 81.164%.\n</reasoning>\nFinal Answer: 81.164%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -7 = 235"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 22x = 242. Divide by 22: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:37 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/37, so B = A × (37/7) = 53 × 37/7 = 280.1429.\n</reasoning>\nFinal Answer: 280.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 41 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 41²=1681, then 32+1681-32=1681.\n</reasoning>\nFinal Answer: 1681"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "530 is what percentage of 598?"
},
{
"role": "assistant",
"content": "<reasoning>\n(530/598) × 100 = 88.6288%.\n</reasoning>\nFinal Answer: 88.6288%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 620 km apart. Their speeds are 58 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+115=173 km/h. Time = 620/173 = 3.5838 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 145 km/h. How far does it travel in 1 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 31/60 = 1.5167 hours. Distance = speed × time = 145 × 1.5167 = 219.9167 km.\n</reasoning>\nFinal Answer: 219.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 34 * 38 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×38=1292, then 32+1292-27=1297.\n</reasoning>\nFinal Answer: 1297"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 38 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 38 + 139 = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 29 = 191"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 18x = 162. Divide by 18: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 / 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/17) ÷ (4/7) = (1/17) × (7/4) = 7/68.\n</reasoning>\nFinal Answer: 7/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 19 + 48 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×19=589 and 48×22=1056, then add: 1645.\n</reasoning>\nFinal Answer: 1645"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 68 = 3400.\n</reasoning>\nFinal Answer: 3400"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 14, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (15-1)×14 = 20 + 196 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 18 + 31 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×18=252 and 31×28=868, then add: 1120.\n</reasoning>\nFinal Answer: 1120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -31 = -124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 3x = -93. Divide by 3: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -28 = 602"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 18x = 630. Divide by 18: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 5 = 616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 13x = 611. Divide by 13: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 13) * (48 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+13)=49, (48-13)=35, then 49×35=1715.\n</reasoning>\nFinal Answer: 1715"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 14 * 37 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×37=518, then 28+518-32=514.\n</reasoning>\nFinal Answer: 514"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 11 = 137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 14x = 126. Divide by 14: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 46 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 13x = -130. Divide by 13: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 20 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 20 = 360 worker-days. New time = 360 / 11 = 32.7273 days.\n</reasoning>\nFinal Answer: 32.7273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 174 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 174 + 139 = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -384 mod 911"
},
{
"role": "assistant",
"content": "<reasoning>\n-384 mod 911: -384 = 911 × -1 + 527, so remainder = 527.\n</reasoning>\nFinal Answer: 527"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 33 = 3267.\n</reasoning>\nFinal Answer: 3267"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 + 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/13 + 8/8. Common denominator = 13. Result = 32/13.\n</reasoning>\nFinal Answer: 32/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 15, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (15-1)×15 = 21 + 210 = 231.\n</reasoning>\nFinal Answer: 231"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2618. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2618 × 12/100 = 314.16. Total = 2618 + 314.16 = 2932.16.\n</reasoning>\nFinal Answer: 2932.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 978 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 978 × (1 - 45/100) = 978 × 0.55 = 537.9.\n</reasoning>\nFinal Answer: 537.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:22 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/22, so B = A × (22/27) = 31 × 22/27 = 25.2593.\n</reasoning>\nFinal Answer: 25.2593"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 * 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/20) × (4/20) = (8/400) = 1/50 after simplification.\n</reasoning>\nFinal Answer: 1/50"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 138 km apart. Their speeds are 66 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+94=160 km/h. Time = 138/160 = 0.8625 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 340 km apart. Their speeds are 99 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+110=209 km/h. Time = 340/209 = 1.6268 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 90 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 90 × 66 = 5940.\n</reasoning>\nFinal Answer: 5940"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 117 apples and buys 41 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 117 + 41 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:13 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/13, so B = A × (13/11) = 62 × 13/11 = 73.2727.\n</reasoning>\nFinal Answer: 73.2727"
}
] | medium | [
"ratio",
"proportion"
] |
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