messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 17x + -41 = -687"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 17x = -646. Divide by 17: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 43 * 9 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×9=387, then 13+387-21=379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 137 km/h. How far does it travel in 2 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 17/60 = 2.2833 hours. Distance = speed × time = 137 × 2.2833 = 312.8167 km.\n</reasoning>\nFinal Answer: 312.8167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 137 apples and buys 196 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 137 + 196 = 333.\n</reasoning>\nFinal Answer: 333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/16 / 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/16) ÷ (3/10) = (17/16) × (10/3) = 85/24.\n</reasoning>\nFinal Answer: 85/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 69, 29, 12, 25, 4, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 301/7 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -32 = -788"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 18x = -756. Divide by 18: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 154 and 99."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(154,99) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 35% of 921?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 921 = (35/100) × 921 = 322.35.\n</reasoning>\nFinal Answer: 322.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -817 mod 406"
},
{
"role": "assistant",
"content": "<reasoning>\n-817 mod 406: -817 = 406 × -3 + 401, so remainder = 401.\n</reasoning>\nFinal Answer: 401"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:3 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/3, so B = A × (3/36) = 29 × 3/36 = 2.4167.\n</reasoning>\nFinal Answer: 2.4167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+99) = 2×180 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 22, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 22 + 35 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 32) * (39 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+32)=73, (39-8)=31, then 73×31=2263.\n</reasoning>\nFinal Answer: 2263"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -50 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 14x = -84. Divide by 14: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 17, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 17 + 26 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 * 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/11) × (8/18) = (16/198) = 8/99 after simplification.\n</reasoning>\nFinal Answer: 8/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 34 + 32 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×34=1496 and 32×5=160, then add: 1656.\n</reasoning>\nFinal Answer: 1656"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 * 10/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/1) × (10/19) = (80/19) = 80/19 after simplification.\n</reasoning>\nFinal Answer: 80/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 76, 96, 5, 33, 41, 2, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 2 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 693 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 693 × (1 + 7/100) = 693 × 1.07 = 741.51.\n</reasoning>\nFinal Answer: 741.51"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:21 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/21, so B = A × (21/4) = 46 × 21/4 = 241.5.\n</reasoning>\nFinal Answer: 241.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:35 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/35, so B = A × (35/31) = 18 × 35/31 = 20.3226.\n</reasoning>\nFinal Answer: 20.3226"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 26 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 20x = -160. Divide by 20: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 10, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (39-1)×10 = 25 + 380 = 405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 228 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 228 × (1 + 15/100) = 228 × 1.15 = 262.2.\n</reasoning>\nFinal Answer: 262.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:30 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/30, so B = A × (30/6) = 15 × 30/6 = 75.0.\n</reasoning>\nFinal Answer: 75.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 26 = 858"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 26x = 832. Divide by 26: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 + 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/5 + 15/20. Common denominator = 20. Result = 71/20.\n</reasoning>\nFinal Answer: 71/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -347 mod -150"
},
{
"role": "assistant",
"content": "<reasoning>\n-347 mod -150: -347 = -150 × 2 + -47, so remainder = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-15)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×5×0 = 225. √discriminant = 15. x = (-(-15) ± 15) / (2×5). Solutions: x = 3 or x = 0.\n</reasoning>\nFinal Answer: x = 3 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 64 = 3200.\n</reasoning>\nFinal Answer: 3200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 26 and 56."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(26,56) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41274 at 6% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41274 × 6 × 9 / 100 = 22287.96.\n</reasoning>\nFinal Answer: 22287.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 10% of 299?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 299 = (10/100) × 299 = 29.9.\n</reasoning>\nFinal Answer: 29.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -19 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 1x = 21. Divide by 1: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 961 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 961 × (1 - 65/100) = 961 × 0.35 = 336.35.\n</reasoning>\nFinal Answer: 336.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 422 × 257"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 422 by 257: 422 × 257 = 108454.\n</reasoning>\nFinal Answer: 108454"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 35 = 955"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 23x = 920. Divide by 23: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 49, 38, 4, 73, 12, 60, 36, 41, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 2, 49: 1, 38: 1, 4: 1, 12: 1, 60: 1, 36: 1, 41: 1, 66: 1}. Most frequent: 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 75 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 75 × 39 = 1462.5.\n</reasoning>\nFinal Answer: 1462.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 437 + 417"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 437 and 417: 437 + 417 = 854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 308 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 308 × (1 - 30/100) = 308 × 0.7 = 215.6.\n</reasoning>\nFinal Answer: 215.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 186 + -961"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 186 and -961: 186 + -961 = -775.\n</reasoning>\nFinal Answer: -775"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 7 × -967"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 7 by -967: 7 × -967 = -6769.\n</reasoning>\nFinal Answer: -6769"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 - 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/18 - 19/17. LCD = 153. Result = -35/153.\n</reasoning>\nFinal Answer: -35/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 11, 17, 19] and B = [1, 3, 6, 7, 8, 16], 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": "Two trains start towards each other from stations 359 km apart. Their speeds are 77 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+41=118 km/h. Time = 359/118 = 3.0424 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 380 × -655"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 380 by -655: 380 × -655 = -248900.\n</reasoning>\nFinal Answer: -248900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 17% of 268?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 268 = (17/100) × 268 = 45.56.\n</reasoning>\nFinal Answer: 45.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -24 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 2x = -34. Divide by 2: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×41)/1 = 779.\n</reasoning>\nFinal Answer: 779"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 81, 49, 17, 59, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 263/6 = 43.8333.\n</reasoning>\nFinal Answer: 43.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 / 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/4) ÷ (10/9) = (4/4) × (9/10) = 9/10.\n</reasoning>\nFinal Answer: 9/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 197 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(197,47) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 403 + -833"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 403 and -833: 403 + -833 = -430.\n</reasoning>\nFinal Answer: -430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -26 = -684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 14x = -658. Divide by 14: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 70% of 554?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 554 = (70/100) × 554 = 387.8.\n</reasoning>\nFinal Answer: 387.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:42 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/42, so B = A × (42/37) = 64 × 42/37 = 72.6486.\n</reasoning>\nFinal Answer: 72.6486"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 52 = 1196.0.\n</reasoning>\nFinal Answer: 1196.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 7 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(7,22) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 1, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (40-1)×1 = 13 + 39 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 28 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 28 = 252 worker-days. New time = 252 / 2 = 126.0 days.\n</reasoning>\nFinal Answer: 126.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 25 and 109."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(25,109) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 11, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (36-1)×11 = 46 + 385 = 431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 865 - -280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -280 from 865: 865 - -280 = 1145.\n</reasoning>\nFinal Answer: 1145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 29 = 929"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 30x = 900. Divide by 30: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -471 + 883"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -471 and 883: -471 + 883 = 412.\n</reasoning>\nFinal Answer: 412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 12 = -212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 16x = -224. Divide by 16: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:4 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/4, so B = A × (4/24) = 31 × 4/24 = 5.1667.\n</reasoning>\nFinal Answer: 5.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -9 = -18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 3x = -9. Divide by 3: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 22 = 1394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 28x = 1372. Divide by 28: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "799 is what percentage of 956?"
},
{
"role": "assistant",
"content": "<reasoning>\n(799/956) × 100 = 83.5774%.\n</reasoning>\nFinal Answer: 83.5774%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 994 - 413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 413 from 994: 994 - 413 = 581.\n</reasoning>\nFinal Answer: 581"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 179 and 118."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(179,118) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -40 = -382"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 18x = -342. Divide by 18: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 19 = 1469"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 29x = 1450. Divide by 29: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [36, 89, 14, 77, 66, 95, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {36: 1, 89: 1, 14: 1, 77: 1, 66: 1, 95: 1, 78: 1}. Most frequent: [36, 89, 14, 77, 66, 95, 78].\n</reasoning>\nFinal Answer: [36, 89, 14, 77, 66, 95... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 17) * (43 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+17)=18, (43-28)=15, then 18×15=270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -37 = 75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 28x = 112. Divide by 28: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "544 is what percentage of 647?"
},
{
"role": "assistant",
"content": "<reasoning>\n(544/647) × 100 = 84.0804%.\n</reasoning>\nFinal Answer: 84.0804%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 32 + 15 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×32=1408 and 15×8=120, then add: 1528.\n</reasoning>\nFinal Answer: 1528"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -448 ÷ -584"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -448 by -584. -448 ÷ -584 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 46 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 6+2116-6=2116.\n</reasoning>\nFinal Answer: 2116"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 186 and 90."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(186,90) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×43)/1 = 430.\n</reasoning>\nFinal Answer: 430"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 37 and 122."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(37,122) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 4, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (43-1)×4 = 29 + 168 = 197.\n</reasoning>\nFinal Answer: 197"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -8 × 882"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -8 by 882: -8 × 882 = -7056.\n</reasoning>\nFinal Answer: -7056"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 489 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 489 × (1 + 3/100) = 489 × 1.03 = 503.67.\n</reasoning>\nFinal Answer: 503.67"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 37 = 217"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 5x = 180. Divide by 5: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 / 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/18) ÷ (15/20) = (5/18) × (20/15) = 10/27.\n</reasoning>\nFinal Answer: 10/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 113 + 433"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 113 and 433: 113 + 433 = 546.\n</reasoning>\nFinal Answer: 546"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -5 = -133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 16x = -128. Divide by 16: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 + 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/16 + 4/20. Common denominator = 20. Result = 19/20.\n</reasoning>\nFinal Answer: 19/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:49 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/49, so B = A × (49/11) = 29 × 49/11 = 129.1818.\n</reasoning>\nFinal Answer: 129.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -777 × 553"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -777 by 553: -777 × 553 = -429681.\n</reasoning>\nFinal Answer: -429681"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 41 + 44 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×41=1517 and 44×11=484, then add: 2001.\n</reasoning>\nFinal Answer: 2001"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 922 ÷ 514"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 922 by 514. 922 ÷ 514 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-32)x + (120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -32² - 4×2×120 = 64. √discriminant = 8. x = (-(-32) ± 8) / (2×2). Solutions: x = 6 or x = 10.\n</reasoning>\nFinal Answer: x = 6 or x = 10"
... | hard | [
"algebra",
"quadratic"
] |
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