messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 643 ÷ 325"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 643 by 325. 643 ÷ 325 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 98, 63, 84, 5, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 98: 1, 63: 2, 84: 1, 5: 1}. Most frequent: 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -23 = 185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 16x = 208. Divide by 16: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 228 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 228 × (1 + 90/100) = 228 × 1.9 = 433.2.\n</reasoning>\nFinal Answer: 433.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -726 × -593"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -726 by -593: -726 × -593 = 430518.\n</reasoning>\nFinal Answer: 430518"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "236 is what percentage of 399?"
},
{
"role": "assistant",
"content": "<reasoning>\n(236/399) × 100 = 59.1479%.\n</reasoning>\nFinal Answer: 59.1479%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-21)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -21² - 4×3×36 = 9. √discriminant = 3. x = (-(-21) ± 3) / (2×3). Solutions: x = 4 or x = 3.\n</reasoning>\nFinal Answer: x = 4 or x = 3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -37 = 1239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 29x = 1276. Divide by 29: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 * 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/7) × (13/7) = (260/49) = 260/49 after simplification.\n</reasoning>\nFinal Answer: 260/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 56 = 2016.\n</reasoning>\nFinal Answer: 2016"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 477 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 477 × (1 + 35/100) = 477 × 1.35 = 643.95.\n</reasoning>\nFinal Answer: 643.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 13 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 48+169-3=214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 521 - 200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 200 from 521: 521 - 200 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3912. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3912 × 5/100 = 195.6. Total = 3912 + 195.6 = 4107.6.\n</reasoning>\nFinal Answer: 4107.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 28) * (30 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+28)=41, (30-22)=8, then 41×8=328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 82, 71, 100, 78, 4, 24, 28, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 4 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 5 + 36 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×5=25 and 36×24=864, then add: 889.\n</reasoning>\nFinal Answer: 889"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 5 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(5,42) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 79, 43, 37, 95, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 79: 1, 43: 1, 37: 1, 95: 1, 73: 1}. Most frequent: [91, 79, 43, 37, 95, 73].\n</reasoning>\nFinal Answer: [91, 79, 43, 37, 95, 73]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×24)/3 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 564 km apart. Their speeds are 110 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+83=193 km/h. Time = 564/193 = 2.9223 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -281 mod 982"
},
{
"role": "assistant",
"content": "<reasoning>\n-281 mod 982: -281 = 982 × -1 + 701, so remainder = 701.\n</reasoning>\nFinal Answer: 701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 557 mod 966"
},
{
"role": "assistant",
"content": "<reasoning>\n557 mod 966: 557 = 966 × 0 + 557, so remainder = 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 - 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/18 - 11/12. LCD = 36. Result = -13/36.\n</reasoning>\nFinal Answer: -13/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 + 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/16 + 7/20. Common denominator = 80. Result = 73/80.\n</reasoning>\nFinal Answer: 73/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 27 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 27 = 486 worker-days. New time = 486 / 8 = 60.75 days.\n</reasoning>\nFinal Answer: 60.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 345 mod -774"
},
{
"role": "assistant",
"content": "<reasoning>\n345 mod -774: 345 = -774 × -1 + -429, so remainder = -429.\n</reasoning>\nFinal Answer: -429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 104 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n104 = 2 × 52, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: 769 - 788"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 788 from 769: 769 - 788 = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "565 is what percentage of 642?"
},
{
"role": "assistant",
"content": "<reasoning>\n(565/642) × 100 = 88.0062%.\n</reasoning>\nFinal Answer: 88.0062%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [96, 73, 97, 59, 3, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 388/6 = 64.6667.\n</reasoning>\nFinal Answer: 64.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -39 = -614"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 23x = -575. Divide by 23: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [9, 14, 16] and B = [6, 8, 9, 10, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [14, 16].\n</reasoning>\nFinal Answer: [14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 17% of 52?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 52 = (17/100) × 52 = 8.84.\n</reasoning>\nFinal Answer: 8.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×46)/2 = 690.\n</reasoning>\nFinal Answer: 690"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -21 = 123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 12x = 144. Divide by 12: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 80 km/h. How far does it travel in 3 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 7/60 = 3.1167 hours. Distance = speed × time = 80 × 3.1167 = 249.3333 km.\n</reasoning>\nFinal Answer: 249.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 963 mod 69"
},
{
"role": "assistant",
"content": "<reasoning>\n963 mod 69: 963 = 69 × 13 + 66, so remainder = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [44, 65, 73, 49, 35, 91, 4, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 429/8 = 53.625.\n</reasoning>\nFinal Answer: 53.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [62, 81, 42, 83, 36, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {62: 1, 81: 1, 42: 1, 83: 1, 36: 1, 74: 1}. Most frequent: [62, 81, 42, 83, 36, 74].\n</reasoning>\nFinal Answer: [62, 81, 42, 83, 36, 74]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 62, 87, 17, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 62: 1, 87: 1, 17: 1, 96: 1}. Most frequent: [61, 62, 87, 17, 96].\n</reasoning>\nFinal Answer: [61, 62, 87, 17, 96]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 121 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 121 × (1 + 60/100) = 121 × 1.6 = 193.6.\n</reasoning>\nFinal Answer: 193.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 44 and common difference 13, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 44 + (15-1)×13 = 44 + 182 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 1 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 1/6 = 0.1667.\n</reasoning>\nFinal Answer: 0.1667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 565 mod -180"
},
{
"role": "assistant",
"content": "<reasoning>\n565 mod -180: 565 = -180 × -4 + -155, so remainder = -155.\n</reasoning>\nFinal Answer: -155"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -580 × 757"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -580 by 757: -580 × 757 = -439060.\n</reasoning>\nFinal Answer: -439060"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:37 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/37, so B = A × (37/7) = 65 × 37/7 = 343.5714.\n</reasoning>\nFinal Answer: 343.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 178 mod -497"
},
{
"role": "assistant",
"content": "<reasoning>\n178 mod -497: 178 = -497 × -1 + -319, so remainder = -319.\n</reasoning>\nFinal Answer: -319"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 23 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 12+529-28=513.\n</reasoning>\nFinal Answer: 513"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 97, 46, 92, 93, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 423/6 = 70.5.\n</reasoning>\nFinal Answer: 70.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 8 = 164"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 12x = 156. Divide by 12: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:28 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/28, so B = A × (28/30) = 50 × 28/30 = 46.6667.\n</reasoning>\nFinal Answer: 46.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25898 at 8% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25898 × 8 × 9 / 100 = 18646.56.\n</reasoning>\nFinal Answer: 18646.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 10, 12, 13, 15, 18, 19] and B = [2, 3, 5, 8, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 8, 10, 12, 13, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 1, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (30-1)×1 = 2 + 29 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -773 + 569"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -773 and 569: -773 + 569 = -204.\n</reasoning>\nFinal Answer: -204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "87 is what percentage of 104?"
},
{
"role": "assistant",
"content": "<reasoning>\n(87/104) × 100 = 83.6538%.\n</reasoning>\nFinal Answer: 83.6538%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "290 is what percentage of 338?"
},
{
"role": "assistant",
"content": "<reasoning>\n(290/338) × 100 = 85.7988%.\n</reasoning>\nFinal Answer: 85.7988%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹2052. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2052 × 18/100 = 369.36. Total = 2052 + 369.36 = 2421.36.\n</reasoning>\nFinal Answer: 2421.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:4 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/4, so B = A × (4/33) = 4 × 4/33 = 0.4848.\n</reasoning>\nFinal Answer: 0.4848"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 + 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/5 + 5/4. Common denominator = 20. Result = 61/20.\n</reasoning>\nFinal Answer: 61/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 89, 34, 66, 19, 89, 54, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 19 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 3/1 * 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/1) × (8/19) = (24/19) = 24/19 after simplification.\n</reasoning>\nFinal Answer: 24/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 14 = 62"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 2x = 48. Divide by 2: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 39, 78, 91, 31, 37, 1, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 31, 37, 39, 64, 65, 78, 91]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 97 = 3395.\n</reasoning>\nFinal Answer: 3395"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 27 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 34+729-23=740.\n</reasoning>\nFinal Answer: 740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 2 = 170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 8x = 168. Divide by 8: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 37 = 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 5x = 110. Divide by 5: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3812. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3812 × 12/100 = 457.44. Total = 3812 + 457.44 = 4269.44.\n</reasoning>\nFinal Answer: 4269.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 922 ÷ -496"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 922 by -496. 922 ÷ -496 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 94 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 94 + 139 = 233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -33 = -831"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 19x = -798. Divide by 19: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 * 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/16) × (20/6) = (320/96) = 10/3 after simplification.\n</reasoning>\nFinal Answer: 10/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 - 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/9 - 5/1. LCD = 9. Result = -41/9.\n</reasoning>\nFinal Answer: -41/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 5 + 42 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×5=125 and 42×7=294, then add: 419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 7% of 828?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 828 = (7/100) × 828 = 57.96.\n</reasoning>\nFinal Answer: 57.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -108 - -569"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -569 from -108: -108 - -569 = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -702 + 841"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -702 and 841: -702 + 841 = 139.\n</reasoning>\nFinal Answer: 139"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 84 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(84+8) = 2×92 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 252 km apart. Their speeds are 64 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+82=146 km/h. Time = 252/146 = 1.726 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 6 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 13/60 = 6.2167 hours. Distance = speed × time = 99 × 6.2167 = 615.45 km.\n</reasoning>\nFinal Answer: 615.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25709 at 8% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25709 × 8 × 7 / 100 = 14397.04.\n</reasoning>\nFinal Answer: 14397.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -226 mod -689"
},
{
"role": "assistant",
"content": "<reasoning>\n-226 mod -689: -226 = -689 × 0 + -226, so remainder = -226.\n</reasoning>\nFinal Answer: -226"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 37 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+37) × 30 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:21 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/21, so B = A × (21/27) = 19 × 21/27 = 14.7778.\n</reasoning>\nFinal Answer: 14.7778"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 1 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+1) × 16 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34841 at 19% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34841 × 19 × 7 / 100 = 46338.53.\n</reasoning>\nFinal Answer: 46338.53"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 59, 39, 40, 17, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 59: 1, 39: 1, 40: 1, 17: 1, 35: 1}. Most frequent: [8, 59, 39, 40, 17, 35].\n</reasoning>\nFinal Answer: [8, 59, 39, 40, 17, 35]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 6 = -114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 4x = -120. Divide by 4: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "459 is what percentage of 550?"
},
{
"role": "assistant",
"content": "<reasoning>\n(459/550) × 100 = 83.4545%.\n</reasoning>\nFinal Answer: 83.4545%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33779 at 1% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33779 × 1 × 7 / 100 = 2364.53.\n</reasoning>\nFinal Answer: 2364.53"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 3 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 35+9-38=6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 572 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 572 × (1 - 60/100) = 572 × 0.4 = 228.8.\n</reasoning>\nFinal Answer: 228.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 * 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/4) × (15/9) = (135/36) = 15/4 after simplification.\n</reasoning>\nFinal Answer: 15/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -15 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 1x = -21. Divide by 1: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×50)/2 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 15 = 737"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 19x = 722. Divide by 19: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 30 = 390.\n</reasoning>\nFinal Answer: 390"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 2, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (34-1)×2 = 7 + 66 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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