messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹4586. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4586 × 5/100 = 229.3. Total = 4586 + 229.3 = 4815.3.\n</reasoning>\nFinal Answer: 4815.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 13, 16, 17, 18] and B = [1, 4, 13, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 4, 13, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 4, 13, 16, 17, 18, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 11 * 23 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×23=253, then 37+253-13=277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:20 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/20, so B = A × (20/45) = 48 × 20/45 = 21.3333.\n</reasoning>\nFinal Answer: 21.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 - 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/14 - 4/19. LCD = 133. Result = -9/133.\n</reasoning>\nFinal Answer: -9/133"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹656. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 656 × 12/100 = 78.72. Total = 656 + 78.72 = 734.72.\n</reasoning>\nFinal Answer: 734.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 + 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/19 + 2/1. Common denominator = 19. Result = 54/19.\n</reasoning>\nFinal Answer: 54/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 64 and 134."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(64,134) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 280 km apart. Their speeds are 109 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+96=205 km/h. Time = 280/205 = 1.3659 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 35 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+35) × 32 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 6, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (29-1)×6 = 13 + 168 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -759 ÷ 369"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -759 by 369. -759 ÷ 369 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×18)/2 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 3 * 46 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×46=138, then 18+138-24=132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 93 = 6789.\n</reasoning>\nFinal Answer: 6789"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [34, 52, 70, 88, 106]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 34 and common difference 18. Next term = 106 + 18 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 18] and B = [2, 7, 9, 13, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 7, 9, 13, 14, 16, 18].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -34 = 1262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 27x = 1296. Divide by 27: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -42 = -267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 25x = -225. Divide by 25: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -274 × -216"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -274 by -216: -274 × -216 = 59184.\n</reasoning>\nFinal Answer: 59184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 15, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (22-1)×15 = 14 + 315 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 25) * (10 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+25)=46, (10-33)=-23, then 46×-23=-1058.\n</reasoning>\nFinal Answer: -1058"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 37, 35, 8, 63, 94, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 8 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 11 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹918. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 918 × 28/100 = 257.04. Total = 918 + 257.04 = 1175.04.\n</reasoning>\nFinal Answer: 1175.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 719 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 719 × (1 - 65/100) = 719 × 0.35 = 251.65.\n</reasoning>\nFinal Answer: 251.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 3 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 2/60 = 3.0333 hours. Distance = speed × time = 121 × 3.0333 = 367.0333 km.\n</reasoning>\nFinal Answer: 367.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 44) * (42 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+44)=69, (42-41)=1, then 69×1=69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -886 - -177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -177 from -886: -886 - -177 = -709.\n</reasoning>\nFinal Answer: -709"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3371. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3371 × 5/100 = 168.55. Total = 3371 + 168.55 = 3539.55.\n</reasoning>\nFinal Answer: 3539.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 175 + -125"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 175 and -125: 175 + -125 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48417 at 6% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48417 × 6 × 3 / 100 = 8715.06.\n</reasoning>\nFinal Answer: 8715.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 17 and 185."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(17,185) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 / 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/13) ÷ (5/7) = (6/13) × (7/5) = 42/65.\n</reasoning>\nFinal Answer: 42/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 5 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 5 × 88 = 220.0.\n</reasoning>\nFinal Answer: 220.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 48 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 48 × (1 + 90/100) = 48 × 1.9 = 91.2.\n</reasoning>\nFinal Answer: 91.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (40 + 12) * (49 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (40+12)=52, (49-10)=39, then 52×39=2028.\n</reasoning>\nFinal Answer: 2028"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3358. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3358 × 5/100 = 167.9. Total = 3358 + 167.9 = 3525.9.\n</reasoning>\nFinal Answer: 3525.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -315 ÷ 82"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -315 by 82. -315 ÷ 82 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 18 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 18 = 234 worker-days. New time = 234 / 4 = 58.5 days.\n</reasoning>\nFinal Answer: 58.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 910 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 910 × (1 - 65/100) = 910 × 0.35 = 318.5.\n</reasoning>\nFinal Answer: 318.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:37 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/37, so B = A × (37/16) = 20 × 37/16 = 46.25.\n</reasoning>\nFinal Answer: 46.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 62 km/h. How far does it travel in 10 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 29/60 = 10.4833 hours. Distance = speed × time = 62 × 10.4833 = 649.9667 km.\n</reasoning>\nFinal Answer: 649.9667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 96 km/h. How far does it travel in 10 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 38/60 = 10.6333 hours. Distance = speed × time = 96 × 10.6333 = 1020.8 km.\n</reasoning>\nFinal Answer: 1020.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 325 + 398"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 325 and 398: 325 + 398 = 723.\n</reasoning>\nFinal Answer: 723"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 2 and common difference 19, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 2 + (15-1)×19 = 2 + 266 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7636 at 8% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7636 × 8 × 5 / 100 = 3054.4.\n</reasoning>\nFinal Answer: 3054.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [68, 90, 88, 75, 65, 2, 11, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 489/8 = 61.125.\n</reasoning>\nFinal Answer: 61.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 10/20 / 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/20) ÷ (7/7) = (10/20) × (7/7) = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 777 mod 927"
},
{
"role": "assistant",
"content": "<reasoning>\n777 mod 927: 777 = 927 × 0 + 777, so remainder = 777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 5 = -604"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 29x = -609. Divide by 29: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "294 is what percentage of 860?"
},
{
"role": "assistant",
"content": "<reasoning>\n(294/860) × 100 = 34.186%.\n</reasoning>\nFinal Answer: 34.186%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 178 km/h. How far does it travel in 4 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 28/60 = 4.4667 hours. Distance = speed × time = 178 × 4.4667 = 795.0667 km.\n</reasoning>\nFinal Answer: 795.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 20) * (39 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+20)=27, (39-41)=-2, then 27×-2=-54.\n</reasoning>\nFinal Answer: -54"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 63 apples and buys 68 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 63 + 68 = 131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:38 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/38, so B = A × (38/18) = 72 × 38/18 = 152.0.\n</reasoning>\nFinal Answer: 152.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 11 * 20 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×20=220, then 49+220-2=267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 17, 19] and B = [7, 11, 12, 13, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 7, 9, 11, 12, 13, 16, 17].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -603 + 957"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -603 and 957: -603 + 957 = 354.\n</reasoning>\nFinal Answer: 354"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 504 mod -399"
},
{
"role": "assistant",
"content": "<reasoning>\n504 mod -399: 504 = -399 × -2 + -294, so remainder = -294.\n</reasoning>\nFinal Answer: -294"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:38 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/38, so B = A × (38/44) = 31 × 38/44 = 26.7727.\n</reasoning>\nFinal Answer: 26.7727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -42 = -187"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 5x = -145. Divide by 5: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "193 is what percentage of 906?"
},
{
"role": "assistant",
"content": "<reasoning>\n(193/906) × 100 = 21.3024%.\n</reasoning>\nFinal Answer: 21.3024%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 11, 9, 68, 95, 70, 43, 98, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 11: 1, 9: 1, 68: 1, 95: 1, 70: 1, 43: 1, 98: 1, 69: 1}. Most frequent: [99, 11, 9, 68, 95, 70, 43, 98, 69].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "450 is what percentage of 527?"
},
{
"role": "assistant",
"content": "<reasoning>\n(450/527) × 100 = 85.389%.\n</reasoning>\nFinal Answer: 85.389%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 110 - -421"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -421 from 110: 110 - -421 = 531.\n</reasoning>\nFinal Answer: 531"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 343."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 343 by smallest primes repeatedly: 343 = 7 × 7 × 7.\n</reasoning>\nFinal Answer: 7 × 7 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 - 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/19 - 3/4. LCD = 76. Result = -29/76.\n</reasoning>\nFinal Answer: -29/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:47 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/47, so B = A × (47/11) = 3 × 47/11 = 12.8182.\n</reasoning>\nFinal Answer: 12.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -305 × 580"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -305 by 580: -305 × 580 = -176900.\n</reasoning>\nFinal Answer: -176900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-8)x + (-9) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -8² - 4×1×-9 = 100. √discriminant = 10. x = (-(-8) ± 10) / (2×1). Solutions: x = -1 or x = 9.\n</reasoning>\nFinal Answer: x = -1 or x = 9"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 32, 52, 72, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 20. Next term = 92 + 20 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 3 = -333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 24x = -336. Divide by 24: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:25 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/25, so B = A × (25/40) = 34 × 25/40 = 21.25.\n</reasoning>\nFinal Answer: 21.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (16/10) = (240/180) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 62, 10, 91, 42, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 319/6 = 53.1667.\n</reasoning>\nFinal Answer: 53.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 492 km apart. Their speeds are 71 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+72=143 km/h. Time = 492/143 = 3.4406 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/19 / 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/19) ÷ (11/5) = (3/19) × (5/11) = 15/209.\n</reasoning>\nFinal Answer: 15/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:28 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/28, so B = A × (28/3) = 26 × 28/3 = 242.6667.\n</reasoning>\nFinal Answer: 242.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 * 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/10) × (6/20) = (36/200) = 9/50 after simplification.\n</reasoning>\nFinal Answer: 9/50"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 14 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 14 = 84 worker-days. New time = 84 / 12 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 7, 72, 53, 53, 62, 96, 54, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 32, 53, 53, 54, 62, 72, 91, 96]. Middle value(s) → median = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 + 4/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/12 + 4/19. Common denominator = 228. Result = 181/228.\n</reasoning>\nFinal Answer: 181/228"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "158 is what percentage of 230?"
},
{
"role": "assistant",
"content": "<reasoning>\n(158/230) × 100 = 68.6957%.\n</reasoning>\nFinal Answer: 68.6957%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -850 - 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 227 from -850: -850 - 227 = -1077.\n</reasoning>\nFinal Answer: -1077"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 239 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 239 × (1 + 100/100) = 239 × 2.0 = 478.0.\n</reasoning>\nFinal Answer: 478.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 76 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 76 × 13 = 494.0.\n</reasoning>\nFinal Answer: 494.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -16 = 281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 27x = 297. Divide by 27: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×28)/4 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 25) * (19 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+25)=31, (19-26)=-7, then 31×-7=-217.\n</reasoning>\nFinal Answer: -217"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -882 + -990"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -882 and -990: -882 + -990 = -1872.\n</reasoning>\nFinal Answer: -1872"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 3/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 3/15. Common denominator = 5. Result = 76/5.\n</reasoning>\nFinal Answer: 76/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 943 km apart. Their speeds are 77 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+116=193 km/h. Time = 943/193 = 4.886 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 11, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (22-1)×11 = 30 + 231 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 945 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 945 × (1 + 20/100) = 945 × 1.2 = 1134.0.\n</reasoning>\nFinal Answer: 1134.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 22 + 44 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×22=1100 and 44×28=1232, then add: 2332.\n</reasoning>\nFinal Answer: 2332"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:37 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/37, so B = A × (37/12) = 64 × 37/12 = 197.3333.\n</reasoning>\nFinal Answer: 197.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 3) * (7 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+3)=48, (7-18)=-11, then 48×-11=-528.\n</reasoning>\nFinal Answer: -528"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 962 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 962 × (1 - 10/100) = 962 × 0.9 = 865.8.\n</reasoning>\nFinal Answer: 865.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4788. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4788 × 12/100 = 574.56. Total = 4788 + 574.56 = 5362.56.\n</reasoning>\nFinal Answer: 5362.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
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