messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 28x + -36 = 804"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 28x = 840. Divide by 28: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -20 = 574"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 18x = 594. Divide by 18: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 35 * 36 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×36=1260, then 29+1260-19=1270.\n</reasoning>\nFinal Answer: 1270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 9 * 26 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×26=234, then 11+234-8=237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 86 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 86 × (1 - 90/100) = 86 × 0.09999999999999998 = 8.6.\n</reasoning>\nFinal Answer: 8.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 671 + -90"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 671 and -90: 671 + -90 = 581.\n</reasoning>\nFinal Answer: 581"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -17 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 16x = 240. Divide by 16: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 36 * 44 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×44=1584, then 11+1584-18=1577.\n</reasoning>\nFinal Answer: 1577"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 4 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 36/60 = 4.6000 hours. Distance = speed × time = 189 × 4.6000 = 869.4 km.\n</reasoning>\nFinal Answer: 869.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 118 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 118 × (1 - 7/100) = 118 × 0.9299999999999999 = 109.74.\n</reasoning>\nFinal Answer: 109.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [75, 27, 35, 19, 64, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 19 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 82, 66, 45, 56, 68, 98, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 45 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 176."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 176 by smallest primes repeatedly: 176 = 2 × 2 × 2 × 2 × 11.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the square root of 676."
},
{
"role": "assistant",
"content": "<reasoning>\n√676 = 26 because 26² = 676.\n</reasoning>\nFinal Answer: 26"
}
] | easy | [
"roots",
"exponents"
] |
[
{
"role": "user",
"content": "409 is what percentage of 491?"
},
{
"role": "assistant",
"content": "<reasoning>\n(409/491) × 100 = 83.2994%.\n</reasoning>\nFinal Answer: 83.2994%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:4 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/4, so B = A × (4/16) = 92 × 4/16 = 23.0.\n</reasoning>\nFinal Answer: 23.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 42 + 14 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×42=378 and 14×16=224, then add: 602.\n</reasoning>\nFinal Answer: 602"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 10 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+10) × 4 = 84.0.\n</reasoning>\nFinal Answer: 84.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 22 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 11+484-4=491.\n</reasoning>\nFinal Answer: 491"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 366 km apart. Their speeds are 62 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+72=134 km/h. Time = 366/134 = 2.7313 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 38 = -462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 10x = -500. Divide by 10: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 22. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 22² = π × 484 ≈ 1520.5308.\n</reasoning>\nFinal Answer: 1520.5308"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "512 is what percentage of 595?"
},
{
"role": "assistant",
"content": "<reasoning>\n(512/595) × 100 = 86.0504%.\n</reasoning>\nFinal Answer: 86.0504%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 * 16/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/12) × (16/8) = (288/96) = 3 after simplification.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/8 * 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/8) × (16/3) = (48/24) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 578 km apart. Their speeds are 114 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+58=172 km/h. Time = 578/172 = 3.3605 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [17, 29, 18, 59, 19, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {17: 1, 29: 1, 18: 1, 59: 1, 19: 1, 23: 1}. Most frequent: [17, 29, 18, 59, 19, 23].\n</reasoning>\nFinal Answer: [17, 29, 18, 59, 19, 23]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (14)x + (-16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 14² - 4×2×-16 = 324. √discriminant = 18. x = (-(14) ± 18) / (2×2). Solutions: x = -8 or x = 1.\n</reasoning>\nFinal Answer: x = -8 or x = 1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+91) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 14, 16] and B = [1, 3, 4, 6, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 8, 14, 16, 18].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 8, 14, 16, 18]"
}... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 96 km/h. How far does it travel in 8 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 52/60 = 8.8667 hours. Distance = speed × time = 96 × 8.8667 = 851.2 km.\n</reasoning>\nFinal Answer: 851.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -7 = -843"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 19x = -836. Divide by 19: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -839 mod 737"
},
{
"role": "assistant",
"content": "<reasoning>\n-839 mod 737: -839 = 737 × -2 + 635, so remainder = 635.\n</reasoning>\nFinal Answer: 635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 98."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,98) = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 75, 74, 51, 2, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 2 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 29 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 29 = 551 worker-days. New time = 551 / 8 = 68.875 days.\n</reasoning>\nFinal Answer: 68.875"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 11) * (33 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+11)=14, (33-14)=19, then 14×19=266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 41 = -183"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 14x = -224. Divide by 14: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+6) = 2×41 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -785 × -598"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -785 by -598: -785 × -598 = 469430.\n</reasoning>\nFinal Answer: 469430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:9 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/9, so B = A × (9/4) = 88 × 9/4 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 750 ÷ -31"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 750 by -31. 750 ÷ -31 = -25 (integer division).\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 12] and B = [9, 12, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3].\n</reasoning>\nFinal Answer: [1, 3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 / 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/19) ÷ (10/15) = (7/19) × (15/10) = 21/38.\n</reasoning>\nFinal Answer: 21/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 * 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/12) × (13/5) = (260/60) = 13/3 after simplification.\n</reasoning>\nFinal Answer: 13/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -675 × -183"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -675 by -183: -675 × -183 = 123525.\n</reasoning>\nFinal Answer: 123525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 / 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/9) ÷ (18/16) = (12/9) × (16/18) = 32/27.\n</reasoning>\nFinal Answer: 32/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -42 = -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 9x = -54. Divide by 9: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -46 = 790"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 19x = 836. Divide by 19: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -36 = -344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 11x = -308. Divide by 11: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -101 × 406"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -101 by 406: -101 × 406 = -41006.\n</reasoning>\nFinal Answer: -41006"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 50 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+50) × 47 = 1668.5.\n</reasoning>\nFinal Answer: 1668.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 11, 12, 14, 15] and B = [1, 2, 9, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 5, 7, 9, 11, 12, 14, 15, 17].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 29 + 29 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×29=1102 and 29×29=841, then add: 1943.\n</reasoning>\nFinal Answer: 1943"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 30 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 30 = 360 worker-days. New time = 360 / 12 = 30.0 days.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 16, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (36-1)×16 = 37 + 560 = 597.\n</reasoning>\nFinal Answer: 597"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8850 at 1% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8850 × 1 × 5 / 100 = 442.5.\n</reasoning>\nFinal Answer: 442.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 1, 98, 51, 9, 16, 54, 86, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 1 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 / 2/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/7) ÷ (2/12) = (20/7) × (12/2) = 120/7.\n</reasoning>\nFinal Answer: 120/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 994 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 994 × (1 + 65/100) = 994 × 1.65 = 1640.1.\n</reasoning>\nFinal Answer: 1640.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 25 + 4 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×25=600 and 4×22=88, then add: 688.\n</reasoning>\nFinal Answer: 688"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25550 at 19% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25550 × 19 × 2 / 100 = 9709.0.\n</reasoning>\nFinal Answer: 9709.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "19 is what percentage of 33?"
},
{
"role": "assistant",
"content": "<reasoning>\n(19/33) × 100 = 57.5758%.\n</reasoning>\nFinal Answer: 57.5758%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 804 × 341"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 804 by 341: 804 × 341 = 274164.\n</reasoning>\nFinal Answer: 274164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:35 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/35, so B = A × (35/41) = 87 × 35/41 = 74.2683.\n</reasoning>\nFinal Answer: 74.2683"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 36 apples and buys 26 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 36 + 26 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 16, 27, 38, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 11. Next term = 49 + 11 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 145 and 133."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(145,133) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹3546. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3546 × 18/100 = 638.28. Total = 3546 + 638.28 = 4184.28.\n</reasoning>\nFinal Answer: 4184.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 15 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(15+37) = 2×52 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:43 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/43, so B = A × (43/49) = 74 × 43/49 = 64.9388.\n</reasoning>\nFinal Answer: 64.9388"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47292 at 11% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47292 × 11 × 2 / 100 = 10404.24.\n</reasoning>\nFinal Answer: 10404.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 4) * (46 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+4)=20, (46-21)=25, then 20×25=500.\n</reasoning>\nFinal Answer: 500"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -726 ÷ 506"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -726 by 506. -726 ÷ 506 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:37 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/37, so B = A × (37/46) = 61 × 37/46 = 49.0652.\n</reasoning>\nFinal Answer: 49.0652"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (25)x + (-250) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 25² - 4×5×-250 = 5625. √discriminant = 75. x = (-(25) ± 75) / (2×5). Solutions: x = -10 or x = 5.\n</reasoning>\nFinal Answer: x = -10 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 35 = 1540.\n</reasoning>\nFinal Answer: 1540"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 87 and 176."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(87,176) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -46 = -28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 1x = 18. Divide by 1: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 68 = 2448.0.\n</reasoning>\nFinal Answer: 2448.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 51 = 535.5.\n</reasoning>\nFinal Answer: 535.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 97 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 97 × 80 = 7760.\n</reasoning>\nFinal Answer: 7760"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 41, 8, 20, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 190/5 = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:44 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/44, so B = A × (44/38) = 62 × 44/38 = 71.7895.\n</reasoning>\nFinal Answer: 71.7895"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/2 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/2 + 15/18. Common denominator = 6. Result = 23/6.\n</reasoning>\nFinal Answer: 23/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 10, 9, 47, 59, 48, 25, 8, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 8 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:27 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/27, so B = A × (27/13) = 80 × 27/13 = 166.1538.\n</reasoning>\nFinal Answer: 166.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 28 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:40 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/40, so B = A × (40/2) = 38 × 40/2 = 760.0.\n</reasoning>\nFinal Answer: 760.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44092 at 4% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44092 × 4 × 9 / 100 = 15873.12.\n</reasoning>\nFinal Answer: 15873.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 888 km apart. Their speeds are 52 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+64=116 km/h. Time = 888/116 = 7.6552 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 84, 49, 84, 14, 86, 97, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 14 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 33 = -202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 5x = -235. Divide by 5: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -369 mod 338"
},
{
"role": "assistant",
"content": "<reasoning>\n-369 mod 338: -369 = 338 × -2 + 307, so remainder = 307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 19 * 28 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×28=532, then 28+532-42=518.\n</reasoning>\nFinal Answer: 518"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 / 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/20) ÷ (20/13) = (17/20) × (13/20) = 221/400.\n</reasoning>\nFinal Answer: 221/400"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 3 + 3 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×3=18 and 3×14=42, then add: 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 374 × 770"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 374 by 770: 374 × 770 = 287980.\n</reasoning>\nFinal Answer: 287980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 99, 50, 75, 87, 70, 66, 64, 58, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 20 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 193 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(193,32) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
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