messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [69, 42, 28, 76, 19, 6, 76, 79, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 6 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -36 = 609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 15x = 645. Divide by 15: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 14, 76, 51, 95, 88, 78, 89, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 514/9 = 57.1111.\n</reasoning>\nFinal Answer: 57.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 28 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 3x = 0. Divide by 3: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 25 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+25) × 10 = 340.0.\n</reasoning>\nFinal Answer: 340.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 / 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/5) ÷ (14/12) = (14/5) × (12/14) = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 165 km/h. How far does it travel in 12 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 37/60 = 12.6167 hours. Distance = speed × time = 165 × 12.6167 = 2081.75 km.\n</reasoning>\nFinal Answer: 2081.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 16, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (12-1)×16 = 41 + 176 = 217.\n</reasoning>\nFinal Answer: 217"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 22, 33, 70, 26, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 22: 1, 33: 1, 70: 1, 26: 1, 54: 1}. Most frequent: [40, 22, 33, 70, 26, 54].\n</reasoning>\nFinal Answer: [40, 22, 33, 70, 26, 54]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 90 km/h. How far does it travel in 1 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 36/60 = 1.6000 hours. Distance = speed × time = 90 × 1.6000 = 144.0 km.\n</reasoning>\nFinal Answer: 144.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/5 + 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/5 + 11/12. Common denominator = 60. Result = 151/60.\n</reasoning>\nFinal Answer: 151/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 13 + 50 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×13=416 and 50×18=900, then add: 1316.\n</reasoning>\nFinal Answer: 1316"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 57, 26, 88, 24, 16, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 16 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 125 km apart. Their speeds are 55 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+78=133 km/h. Time = 125/133 = 0.9398 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 33 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+33) × 26 = 949.0.\n</reasoning>\nFinal Answer: 949.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1887. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1887 × 28/100 = 528.36. Total = 1887 + 528.36 = 2415.36.\n</reasoning>\nFinal Answer: 2415.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 42 × 941"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 42 by 941: 42 × 941 = 39522.\n</reasoning>\nFinal Answer: 39522"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 17, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (21-1)×17 = 42 + 340 = 382.\n</reasoning>\nFinal Answer: 382"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:6 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/6, so B = A × (6/50) = 62 × 6/50 = 7.44.\n</reasoning>\nFinal Answer: 7.44"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -85 - 874"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 874 from -85: -85 - 874 = -959.\n</reasoning>\nFinal Answer: -959"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [26, 22, 19, 94, 42, 32, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 19 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 330 km apart. Their speeds are 101 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+112=213 km/h. Time = 330/213 = 1.5493 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 6 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 6 × 46 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 51, 34, 67, 6, 100, 57, 13, 77, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 51: 1, 34: 1, 67: 1, 6: 1, 100: 1, 57: 1, 13: 1, 77: 1, 88: 1}. Most frequent: [49, 51, 34, 67, 6, 100, 57, 13, 77, 88].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 3 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 48/60 = 3.8000 hours. Distance = speed × time = 186 × 3.8000 = 706.8 km.\n</reasoning>\nFinal Answer: 706.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 392 - -248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -248 from 392: 392 - -248 = 640.\n</reasoning>\nFinal Answer: 640"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 11 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 36/60 = 11.6000 hours. Distance = speed × time = 167 × 11.6000 = 1937.2 km.\n</reasoning>\nFinal Answer: 1937.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 15."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 15 by smallest primes repeatedly: 15 = 3 × 5.\n</reasoning>\nFinal Answer: 3 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 32 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 32 × 93 = 2976.\n</reasoning>\nFinal Answer: 2976"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 24, 30, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 24 + 30 + 35 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 161 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 161 × (1 + 25/100) = 161 × 1.25 = 201.25.\n</reasoning>\nFinal Answer: 201.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 60, 98, 80, 88, 40, 82, 56, 89, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 723/10 = 72.3.\n</reasoning>\nFinal Answer: 72.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 34 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+34) × 11 = 407.0.\n</reasoning>\nFinal Answer: 407.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 12, 17] and B = [1, 5, 7, 10, 12, 15, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 7, 10, 15, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 764 - 827"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 827 from 764: 764 - 827 = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 33 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 31+1089-35=1085.\n</reasoning>\nFinal Answer: 1085"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 363 + 309"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 363 and 309: 363 + 309 = 672.\n</reasoning>\nFinal Answer: 672"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 11, 27, and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 11 + 27 + 29 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -142 mod 62"
},
{
"role": "assistant",
"content": "<reasoning>\n-142 mod 62: -142 = 62 × -3 + 44, so remainder = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 10 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+10) × 32 = 272.0.\n</reasoning>\nFinal Answer: 272.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 11, find the 44th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (44-1)×11 = 15 + 473 = 488.\n</reasoning>\nFinal Answer: 488"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 28 = 1680.\n</reasoning>\nFinal Answer: 1680"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:45 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/45, so B = A × (45/10) = 72 × 45/10 = 324.0.\n</reasoning>\nFinal Answer: 324.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 77 km/h. How far does it travel in 7 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 11/60 = 7.1833 hours. Distance = speed × time = 77 × 7.1833 = 553.1167 km.\n</reasoning>\nFinal Answer: 553.1167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:36 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/36, so B = A × (36/20) = 14 × 36/20 = 25.2.\n</reasoning>\nFinal Answer: 25.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/15 - 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/15 - 9/11. LCD = 165. Result = 41/165.\n</reasoning>\nFinal Answer: 41/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -795 - -860"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -860 from -795: -795 - -860 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 166 - 309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 309 from 166: 166 - 309 = -143.\n</reasoning>\nFinal Answer: -143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 17 = -193"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 30x = -210. Divide by 30: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 3 = 273"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 27x = 270. Divide by 27: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (5)x + (-210) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×5×-210 = 4225. √discriminant = 65. x = (-(5) ± 65) / (2×5). Solutions: x = 6 or x = -7.\n</reasoning>\nFinal Answer: x = 6 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 82 = 1558.\n</reasoning>\nFinal Answer: 1558"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -24 = -44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 5x = -20. Divide by 5: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -9 = 504"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 27x = 513. Divide by 27: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 + 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/17 + 11/12. Common denominator = 204. Result = 415/204.\n</reasoning>\nFinal Answer: 415/204"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 100% of 174?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 174 = (100/100) × 174 = 174.0.\n</reasoning>\nFinal Answer: 174.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 49 apples and buys 25 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 49 + 25 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 7) * (15 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+7)=25, (15-2)=13, then 25×13=325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 84 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 84 × 86 = 7224.\n</reasoning>\nFinal Answer: 7224"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 / 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/17) ÷ (13/8) = (2/17) × (8/13) = 16/221.\n</reasoning>\nFinal Answer: 16/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:11 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/11, so B = A × (11/13) = 64 × 11/13 = 54.1538.\n</reasoning>\nFinal Answer: 54.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -3 = -185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 7x = -182. Divide by 7: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 62 km/h. How far does it travel in 11 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 43/60 = 11.7167 hours. Distance = speed × time = 62 × 11.7167 = 726.4333 km.\n</reasoning>\nFinal Answer: 726.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:32 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/32, so B = A × (32/20) = 37 × 32/20 = 59.2.\n</reasoning>\nFinal Answer: 59.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 30 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+30) × 39 = 1365.0.\n</reasoning>\nFinal Answer: 1365.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "13 is what percentage of 576?"
},
{
"role": "assistant",
"content": "<reasoning>\n(13/576) × 100 = 2.2569%.\n</reasoning>\nFinal Answer: 2.2569%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:2 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/2, so B = A × (2/2) = 70 × 2/2 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 * 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/9) × (16/11) = (160/99) = 160/99 after simplification.\n</reasoning>\nFinal Answer: 160/99"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 757 + -483"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 757 and -483: 757 + -483 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 28 + 46 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×28=1344 and 46×41=1886, then add: 3230.\n</reasoning>\nFinal Answer: 3230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 3, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (38-1)×3 = 9 + 111 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 16 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (16×48)/16 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 12% of 776?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 776 = (12/100) × 776 = 93.12.\n</reasoning>\nFinal Answer: 93.12"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:44 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/44, so B = A × (44/6) = 98 × 44/6 = 718.6667.\n</reasoning>\nFinal Answer: 718.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 / 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/11) ÷ (14/5) = (7/11) × (5/14) = 5/22.\n</reasoning>\nFinal Answer: 5/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -63 + 840"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -63 and 840: -63 + 840 = 777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "538 is what percentage of 707?"
},
{
"role": "assistant",
"content": "<reasoning>\n(538/707) × 100 = 76.0962%.\n</reasoning>\nFinal Answer: 76.0962%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 13 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 13 = 247 worker-days. New time = 247 / 2 = 123.5 days.\n</reasoning>\nFinal Answer: 123.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 869 + -681"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 869 and -681: 869 + -681 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+100) = 2×150 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 29 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 50+841-13=878.\n</reasoning>\nFinal Answer: 878"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 123 + -765"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 123 and -765: 123 + -765 = -642.\n</reasoning>\nFinal Answer: -642"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -440 - -437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -437 from -440: -440 - -437 = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (90)x + (400) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 90² - 4×5×400 = 100. √discriminant = 10. x = (-(90) ± 10) / (2×5). Solutions: x = -8 or x = -10.\n</reasoning>\nFinal Answer: x = -8 or x = -10... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 154 km/h. How far does it travel in 10 hours and 16 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 16/60 = 10.2667 hours. Distance = speed × time = 154 × 10.2667 = 1581.0667 km.\n</reasoning>\nFinal Answer: 1581.0667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹4906. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4906 × 5/100 = 245.3. Total = 4906 + 245.3 = 5151.3.\n</reasoning>\nFinal Answer: 5151.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:8 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/8, so B = A × (8/4) = 94 × 8/4 = 188.0.\n</reasoning>\nFinal Answer: 188.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 177."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 177 by smallest primes repeatedly: 177 = 3 × 59.\n</reasoning>\nFinal Answer: 3 × 59"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 32 * 26 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×26=832, then 27+832-45=814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 47) * (15 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+47)=96, (15-42)=-27, then 96×-27=-2592.\n</reasoning>\nFinal Answer: -2592"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 / 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/6) ÷ (6/19) = (9/6) × (19/6) = 19/4.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:25 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/25, so B = A × (25/39) = 22 × 25/39 = 14.1026.\n</reasoning>\nFinal Answer: 14.1026"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 611 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 611 × (1 + 15/100) = 611 × 1.15 = 702.65.\n</reasoning>\nFinal Answer: 702.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/2 / 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/2) ÷ (1/3) = (12/2) × (3/1) = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 29 = -436"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 15x = -465. Divide by 15: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 1 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 30 = 642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 18x = 612. Divide by 18: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 47 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 42+2209-12=2239.\n</reasoning>\nFinal Answer: 2239"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:3 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/3, so B = A × (3/28) = 19 × 3/28 = 2.0357.\n</reasoning>\nFinal Answer: 2.0357"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×23)/1 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"number_theory",
"lcm"
] |
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