messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 13, 15, 17, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 2. Next term = 19 + 2 = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 628 - -291"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -291 from 628: 628 - -291 = 919.\n</reasoning>\nFinal Answer: 919"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 38 and 185."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(38,185) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 35% of 971?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 971 = (35/100) × 971 = 339.85.\n</reasoning>\nFinal Answer: 339.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 46 + 6 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×46=1518 and 6×41=246, then add: 1764.\n</reasoning>\nFinal Answer: 1764"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:20 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/20, so B = A × (20/32) = 15 × 20/32 = 9.375.\n</reasoning>\nFinal Answer: 9.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -29 = 27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 28x = 56. Divide by 28: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 26 = 1612.\n</reasoning>\nFinal Answer: 1612"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:38 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/38, so B = A × (38/44) = 78 × 38/44 = 67.3636.\n</reasoning>\nFinal Answer: 67.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/12 * 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/12) × (16/17) = (208/204) = 52/51 after simplification.\n</reasoning>\nFinal Answer: 52/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:20 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/20, so B = A × (20/32) = 90 × 20/32 = 56.25.\n</reasoning>\nFinal Answer: 56.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 37 = -23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 15x = -60. Divide by 15: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -928 × -425"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -928 by -425: -928 × -425 = 394400.\n</reasoning>\nFinal Answer: 394400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 49 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 32+2401-19=2414.\n</reasoning>\nFinal Answer: 2414"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -864 mod 896"
},
{
"role": "assistant",
"content": "<reasoning>\n-864 mod 896: -864 = 896 × -1 + 32, so remainder = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 270 × 291"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 270 by 291: 270 × 291 = 78570.\n</reasoning>\nFinal Answer: 78570"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -67 × 451"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -67 by 451: -67 × 451 = -30217.\n</reasoning>\nFinal Answer: -30217"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 25 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 25 = 375 worker-days. New time = 375 / 7 = 53.5714 days.\n</reasoning>\nFinal Answer: 53.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 126 mod 61"
},
{
"role": "assistant",
"content": "<reasoning>\n126 mod 61: 126 = 61 × 2 + 4, so remainder = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 + 5/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/6 + 5/18. Common denominator = 18. Result = 25/9.\n</reasoning>\nFinal Answer: 25/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -776 ÷ 784"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -776 by 784. -776 ÷ 784 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (12)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×4×0 = 144. √discriminant = 12. x = (-(12) ± 12) / (2×4). Solutions: x = -3 or x = 0.\n</reasoning>\nFinal Answer: x = -3 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 94 mod 880"
},
{
"role": "assistant",
"content": "<reasoning>\n94 mod 880: 94 = 880 × 0 + 94, so remainder = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 25 = -5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 15x = -30. Divide by 15: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [10, 13, 15, 18, 19] and B = [3, 6, 7, 10, 11, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [13, 15, 18, 19].\n</reasoning>\nFinal Answer: [13, 15, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 469."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 469 by smallest primes repeatedly: 469 = 7 × 67.\n</reasoning>\nFinal Answer: 7 × 67"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 12 + 29 * 40"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×12=288 and 29×40=1160, then add: 1448.\n</reasoning>\nFinal Answer: 1448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 + 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/12 + 14/12. Common denominator = 6. Result = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 21 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+21) × 13 = 221.0.\n</reasoning>\nFinal Answer: 221.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -546 + -202"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -546 and -202: -546 + -202 = -748.\n</reasoning>\nFinal Answer: -748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -957 × -201"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -957 by -201: -957 × -201 = 192357.\n</reasoning>\nFinal Answer: 192357"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 - 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/6 - 16/13. LCD = 13. Result = -3/13.\n</reasoning>\nFinal Answer: -3/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 16 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 7 = 686.\n</reasoning>\nFinal Answer: 686"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -27 = 133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 5x = 160. Divide by 5: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 59 km/h. How far does it travel in 10 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 41/60 = 10.6833 hours. Distance = speed × time = 59 × 10.6833 = 630.3167 km.\n</reasoning>\nFinal Answer: 630.3167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -38 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 19x = -228. Divide by 19: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -17 = 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 11x = 22. Divide by 11: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 934 mod -955"
},
{
"role": "assistant",
"content": "<reasoning>\n934 mod -955: 934 = -955 × -1 + -21, so remainder = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 28 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 28 × 10 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36019 at 14% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36019 × 14 × 10 / 100 = 50426.6.\n</reasoning>\nFinal Answer: 50426.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 1 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 1 × 93 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 58, 30, 42, 8, 47, 43, 38, 80, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 19, 19, 30, 38, 42, 43, 47, 58, 80]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 45 + 12 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×45=630 and 12×49=588, then add: 1218.\n</reasoning>\nFinal Answer: 1218"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 59, 62, 87, 26, 66, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 56, 59, 62, 66, 68, 87]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [50, 15, 100, 58, 37, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 283/6 = 47.1667.\n</reasoning>\nFinal Answer: 47.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 15/17 / 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/17) ÷ (10/5) = (15/17) × (5/10) = 15/34.\n</reasoning>\nFinal Answer: 15/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -986 - -70"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -70 from -986: -986 - -70 = -916.\n</reasoning>\nFinal Answer: -916"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/4 / 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/4) ÷ (7/2) = (19/4) × (2/7) = 19/14.\n</reasoning>\nFinal Answer: 19/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 65 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n65 = 5 × 13, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×34)/1 = 782.\n</reasoning>\nFinal Answer: 782"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 367 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 367 × (1 + 17/100) = 367 × 1.17 = 429.39.\n</reasoning>\nFinal Answer: 429.39"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -48 = -867"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 21x = -819. Divide by 21: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 44 = -228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 16x = -272. Divide by 16: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 255 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 255 × (1 - 30/100) = 255 × 0.7 = 178.5.\n</reasoning>\nFinal Answer: 178.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 6 * 32 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×32=192, then 41+192-17=216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 16 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 20x = -20. Divide by 20: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 218 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 218 × (1 - 35/100) = 218 × 0.65 = 141.7.\n</reasoning>\nFinal Answer: 141.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [49, 21, 12, 60, 64, 64, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 18, 21, 49, 60, 64, 64]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -4 = 1166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 26x = 1170. Divide by 26: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:50 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/50, so B = A × (50/6) = 69 × 50/6 = 575.0.\n</reasoning>\nFinal Answer: 575.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 97 = 7566.\n</reasoning>\nFinal Answer: 7566"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 45 km/h. How far does it travel in 3 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 5/60 = 3.0833 hours. Distance = speed × time = 45 × 3.0833 = 138.75 km.\n</reasoning>\nFinal Answer: 138.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 / 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/8) ÷ (5/8) = (6/8) × (8/5) = 6/5.\n</reasoning>\nFinal Answer: 6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [4, 100, 12, 62, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {4: 1, 100: 1, 12: 1, 62: 1, 77: 1}. Most frequent: [4, 100, 12, 62, 77].\n</reasoning>\nFinal Answer: [4, 100, 12, 62, 77]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 34, 26, 2, 70, 94, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 11, 26, 34, 70, 79, 94]. Middle value(s) → median = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+85) = 2×157 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 31 = 2418.\n</reasoning>\nFinal Answer: 2418"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:19 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/19, so B = A × (19/40) = 59 × 19/40 = 28.025.\n</reasoning>\nFinal Answer: 28.025"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 4 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 47/60 = 4.7833 hours. Distance = speed × time = 149 × 4.7833 = 712.7167 km.\n</reasoning>\nFinal Answer: 712.7167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/3 / 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/3) ÷ (3/19) = (10/3) × (19/3) = 190/9.\n</reasoning>\nFinal Answer: 190/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 + 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/3 + 16/6. Common denominator = 3. Result = 23/3.\n</reasoning>\nFinal Answer: 23/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 65, 88, 63, 95, 46, 5, 14, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 545/9 = 60.5556.\n</reasoning>\nFinal Answer: 60.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:34 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/34, so B = A × (34/50) = 64 × 34/50 = 43.52.\n</reasoning>\nFinal Answer: 43.52"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 128 km apart. Their speeds are 55 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 55+117=172 km/h. Time = 128/172 = 0.7442 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 25 and common difference 15, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 25 + (18-1)×15 = 25 + 255 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 880 + 962"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 880 and 962: 880 + 962 = 1842.\n</reasoning>\nFinal Answer: 1842"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 + 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/2 + 5/19. Common denominator = 38. Result = 219/38.\n</reasoning>\nFinal Answer: 219/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -274 × 479"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -274 by 479: -274 × 479 = -131246.\n</reasoning>\nFinal Answer: -131246"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -44 = 226"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 10x = 270. Divide by 10: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 26 + 9 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×26=572 and 9×33=297, then add: 869.\n</reasoning>\nFinal Answer: 869"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 10] and B = [3, 7, 9, 10, 12], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 6].\n</reasoning>\nFinal Answer: [2, 6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 913 km apart. Their speeds are 111 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+63=174 km/h. Time = 913/174 = 5.2471 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -9 = 1066"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 25x = 1075. Divide by 25: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 155 and 196."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(155,196) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 8, 10, 17] and B = [1, 3, 9, 10, 12, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 10].\n</reasoning>\nFinal Answer: [3, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 473 - -689"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -689 from 473: 473 - -689 = 1162.\n</reasoning>\nFinal Answer: 1162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 99, 12, 87, 62, 41, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 12 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹922. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 922 × 5/100 = 46.1. Total = 922 + 46.1 = 968.1.\n</reasoning>\nFinal Answer: 968.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -412 - 455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 455 from -412: -412 - 455 = -867.\n</reasoning>\nFinal Answer: -867"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/19 + 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/19 + 20/9. Common denominator = 171. Result = 416/171.\n</reasoning>\nFinal Answer: 416/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 5 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 38+25-13=50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:50 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/50, so B = A × (50/26) = 36 × 50/26 = 69.2308.\n</reasoning>\nFinal Answer: 69.2308"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 82, 83, 57, 61, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 52 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×42)/1 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 20, 27, 34, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 7. Next term = 41 + 7 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [9, 11, 12, 14, 17] and B = [3, 6, 9, 10, 12, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 14, 17].\n</reasoning>\nFinal Answer: [11, 14, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 / 19/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/17) ÷ (19/2) = (9/17) × (2/19) = 18/323.\n</reasoning>\nFinal Answer: 18/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 736 km apart. Their speeds are 84 km/h and 67 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+67=151 km/h. Time = 736/151 = 4.8742 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 * 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/5) × (11/9) = (55/45) = 11/9 after simplification.\n</reasoning>\nFinal Answer: 11/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
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