messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 30x + -25 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 30x = 120. Divide by 30: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 45 * 49 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×49=2205, then 22+2205-8=2219.\n</reasoning>\nFinal Answer: 2219"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 134 km/h. How far does it travel in 10 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 10/60 = 10.1667 hours. Distance = speed × time = 134 × 10.1667 = 1362.3333 km.\n</reasoning>\nFinal Answer: 1362.3333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 47, 41, 3, 24, 71, 33, 84, 5, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 5, 24, 30, 33, 41, 47, 53, 71, 84]. Middle value(s) → median = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 70% of 906?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 906 = (70/100) × 906 = 634.2.\n</reasoning>\nFinal Answer: 634.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 2 = -22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 1x = -24. Divide by 1: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:35 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/35, so B = A × (35/30) = 84 × 35/30 = 98.0.\n</reasoning>\nFinal Answer: 98.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 43) * (25 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+43)=74, (25-46)=-21, then 74×-21=-1554.\n</reasoning>\nFinal Answer: -1554"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "248 is what percentage of 333?"
},
{
"role": "assistant",
"content": "<reasoning>\n(248/333) × 100 = 74.4745%.\n</reasoning>\nFinal Answer: 74.4745%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38072 at 16% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38072 × 16 × 9 / 100 = 54823.68.\n</reasoning>\nFinal Answer: 54823.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 793 km apart. Their speeds are 67 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 67+120=187 km/h. Time = 793/187 = 4.2406 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 7, 9, 11, 18] and B = [1, 3, 4, 6, 7, 10], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 9, 11, 18].\n</reasoning>\nFinal Answer: [5, 9, 11, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 - 3/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/5 - 3/6. LCD = 2. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 66, 53, 2, 36, 4, 1, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 66: 1, 53: 1, 2: 1, 36: 1, 4: 1, 1: 1, 94: 1}. Most frequent: [76, 66, 53, 2, 36, 4, 1, 94].\n</reasoning>\nFinal Answer: [76, 66, 53, 2, 3... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -19 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 2x = 100. Divide by 2: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 421 × -511"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 421 by -511: 421 × -511 = -215131.\n</reasoning>\nFinal Answer: -215131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 17] and B = [1, 4, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 17].\n</reasoning>\nFinal Answer: [5, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 957 km apart. Their speeds are 102 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+70=172 km/h. Time = 957/172 = 5.564 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 35 * 9 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×9=315, then 15+315-22=308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 4 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 29/60 = 4.4833 hours. Distance = speed × time = 87 × 4.4833 = 390.05 km.\n</reasoning>\nFinal Answer: 390.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 103 km/h. How far does it travel in 12 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 33/60 = 12.5500 hours. Distance = speed × time = 103 × 12.5500 = 1292.65 km.\n</reasoning>\nFinal Answer: 1292.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 13, 21, 29, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 8. Next term = 37 + 8 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -183 mod 231"
},
{
"role": "assistant",
"content": "<reasoning>\n-183 mod 231: -183 = 231 × -1 + 48, so remainder = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 - 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/10 - 6/6. LCD = 5. Result = -1/5.\n</reasoning>\nFinal Answer: -1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -188 - -171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -171 from -188: -188 - -171 = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:14 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/14, so B = A × (14/20) = 33 × 14/20 = 23.1.\n</reasoning>\nFinal Answer: 23.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 2, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (43-1)×2 = 46 + 84 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 3 * 16 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×16=48, then 40+48-29=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "89 is what percentage of 144?"
},
{
"role": "assistant",
"content": "<reasoning>\n(89/144) × 100 = 61.8056%.\n</reasoning>\nFinal Answer: 61.8056%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 156 and 109."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(156,109) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 15 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 15 = 165 worker-days. New time = 165 / 13 = 12.6923 days.\n</reasoning>\nFinal Answer: 12.6923"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -44 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 25x = 450. Divide by 25: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 29 * 40 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×40=1160, then 8+1160-8=1160.\n</reasoning>\nFinal Answer: 1160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×10)/2 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -31 = -581"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 11x = -550. Divide by 11: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 25% of 584?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 584 = (25/100) × 584 = 146.0.\n</reasoning>\nFinal Answer: 146.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -589 mod 142"
},
{
"role": "assistant",
"content": "<reasoning>\n-589 mod 142: -589 = 142 × -5 + 121, so remainder = 121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -498 mod 421"
},
{
"role": "assistant",
"content": "<reasoning>\n-498 mod 421: -498 = 421 × -2 + 344, so remainder = 344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -374 × -459"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -374 by -459: -374 × -459 = 171666.\n</reasoning>\nFinal Answer: 171666"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -21 = 609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 18x = 630. Divide by 18: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 615 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 615 × (1 + 20/100) = 615 × 1.2 = 738.0.\n</reasoning>\nFinal Answer: 738.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:14 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/14, so B = A × (14/33) = 27 × 14/33 = 11.4545.\n</reasoning>\nFinal Answer: 11.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 818 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 818 × (1 - 7/100) = 818 × 0.9299999999999999 = 760.74.\n</reasoning>\nFinal Answer: 760.74"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:20 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/20, so B = A × (20/47) = 12 × 20/47 = 5.1064.\n</reasoning>\nFinal Answer: 5.1064"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 / 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/8) ÷ (5/6) = (15/8) × (6/5) = 9/4.\n</reasoning>\nFinal Answer: 9/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -26 = -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 2x = 22. Divide by 2: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -687 × -112"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -687 by -112: -687 × -112 = 76944.\n</reasoning>\nFinal Answer: 76944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/9 + 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/9 + 19/12. Common denominator = 36. Result = 133/36.\n</reasoning>\nFinal Answer: 133/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 96, 93, 40, 55, 97, 46, 27, 30, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 27, 30, 40, 46, 55, 59, 93, 96, 97]. Middle value(s) → median = 50.5.\n</reasoning>\nFinal Answer: 50.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [95, 83, 16, 57, 9, 77, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 16, 30, 57, 77, 83, 95]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:35 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/35, so B = A × (35/48) = 59 × 35/48 = 43.0208.\n</reasoning>\nFinal Answer: 43.0208"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 15 = -957"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 27x = -972. Divide by 27: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 302."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 302 by smallest primes repeatedly: 302 = 2 × 151.\n</reasoning>\nFinal Answer: 2 × 151"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+91) = 2×151 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 13 = -587"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 30x = -600. Divide by 30: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -17 ÷ -351"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -17 by -351. -17 ÷ -351 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 * 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/2) × (1/4) = (9/8) = 9/8 after simplification.\n</reasoning>\nFinal Answer: 9/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 27 apples and buys 137 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 27 + 137 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 3 = -117"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 10x = -120. Divide by 10: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 6, 8, 10, 13, 17] and B = [2, 6, 7, 11, 13, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 4, 7, 8, 10, 11, 16, 17].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 219."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 219 by smallest primes repeatedly: 219 = 3 × 73.\n</reasoning>\nFinal Answer: 3 × 73"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 49, 61, 73, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 12. Next term = 85 + 12 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 18 + -418"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 18 and -418: 18 + -418 = -400.\n</reasoning>\nFinal Answer: -400"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 18 = 356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 13x = 338. Divide by 13: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -50 = -834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 16x = -784. Divide by 16: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 750 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 750 × (1 + 100/100) = 750 × 2.0 = 1500.0.\n</reasoning>\nFinal Answer: 1500.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -49 = 161"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 10x = 210. Divide by 10: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -45 = 615"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 15x = 660. Divide by 15: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 1 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 41/60 = 1.6833 hours. Distance = speed × time = 73 × 1.6833 = 122.8833 km.\n</reasoning>\nFinal Answer: 122.8833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 58, 50, 51, 26, 76, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 26, 50, 51, 58, 58, 76]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [25, 72, 30, 58, 15, 28, 15, 98, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 15, 25, 28, 30, 53, 58, 72, 98]. Middle value(s) → median = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 - 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/1 - 13/1. LCD = 1. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 36 + 22 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×36=108 and 22×31=682, then add: 790.\n</reasoning>\nFinal Answer: 790"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2031. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2031 × 12/100 = 243.72. Total = 2031 + 243.72 = 2274.72.\n</reasoning>\nFinal Answer: 2274.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 48, 19, 100, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 1 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 9) * (12 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+9)=54, (12-22)=-10, then 54×-10=-540.\n</reasoning>\nFinal Answer: -540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -16 = -436"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 20x = -420. Divide by 20: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 40 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 46+1600-42=1604.\n</reasoning>\nFinal Answer: 1604"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 211 × 732"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 211 by 732: 211 × 732 = 154452.\n</reasoning>\nFinal Answer: 154452"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate: 6^2"
},
{
"role": "assistant",
"content": "<reasoning>\n6^2 = 6 × 6 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 * 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/12) × (16/5) = (16/60) = 4/15 after simplification.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 453 km apart. Their speeds are 87 km/h and 62 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+62=149 km/h. Time = 453/149 = 3.0403 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 70% of 109?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 109 = (70/100) × 109 = 76.3.\n</reasoning>\nFinal Answer: 76.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 516 ÷ 599"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 516 by 599. 516 ÷ 599 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 10 + 27 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×10=390 and 27×43=1161, then add: 1551.\n</reasoning>\nFinal Answer: 1551"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -9 = -225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 18x = -216. Divide by 18: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-243) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-243 = 2916. √discriminant = 54. x = (-(0) ± 54) / (2×3). Solutions: x = -9 or x = 9.\n</reasoning>\nFinal Answer: x = -9 or x = 9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:6 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/6, so B = A × (6/7) = 14 × 6/7 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 633 + -486"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 633 and -486: 633 + -486 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 629 × -148"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 629 by -148: 629 × -148 = -93092.\n</reasoning>\nFinal Answer: -93092"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 144 km apart. Their speeds are 68 km/h and 42 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+42=110 km/h. Time = 144/110 = 1.3091 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:30 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/30, so B = A × (30/7) = 54 × 30/7 = 231.4286.\n</reasoning>\nFinal Answer: 231.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -32 = 192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 7x = 224. Divide by 7: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 / 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/7) ÷ (19/15) = (10/7) × (15/19) = 150/133.\n</reasoning>\nFinal Answer: 150/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 26, 9, 50, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 26: 1, 9: 1, 50: 1, 59: 1}. Most frequent: [60, 26, 9, 50, 59].\n</reasoning>\nFinal Answer: [60, 26, 9, 50, 59]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 39 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 39 × 62 = 2418.\n</reasoning>\nFinal Answer: 2418"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (14)x + (45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 14² - 4×1×45 = 16. √discriminant = 4. x = (-(14) ± 4) / (2×1). Solutions: x = -5 or x = -9.\n</reasoning>\nFinal Answer: x = -5 or x = -9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -27 = 189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 9x = 216. Divide by 9: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -368 - 196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 196 from -368: -368 - 196 = -564.\n</reasoning>\nFinal Answer: -564"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -26 = 254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 14x = 280. Divide by 14: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
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