messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 53 = 2146.5.\n</reasoning>\nFinal Answer: 2146.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:3 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/3, so B = A × (3/21) = 46 × 3/21 = 6.5714.\n</reasoning>\nFinal Answer: 6.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -517 ÷ -122"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -517 by -122. -517 ÷ -122 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 568 × 930"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 568 by 930: 568 × 930 = 528240.\n</reasoning>\nFinal Answer: 528240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 80."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 80 = 2080.0.\n</reasoning>\nFinal Answer: 2080.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 2, 33 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (2+33) × 16 = 280.0.\n</reasoning>\nFinal Answer: 280.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 23 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+23) × 7 = 126.0.\n</reasoning>\nFinal Answer: 126.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 97 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(97+73) = 2×170 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -587 ÷ 436"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -587 by 436. -587 ÷ 436 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 59 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 59 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 47, 2, 19, 35, 21, 34, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 19, 21, 34, 35, 41, 47, 86]. Middle value(s) → median = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 46 + 31 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×46=1150 and 31×17=527, then add: 1677.\n</reasoning>\nFinal Answer: 1677"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 2 * 38 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×38=76, then 50+76-30=96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 18 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 18 = 126 worker-days. New time = 126 / 18 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 44 * 46 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×46=2024, then 30+2024-2=2052.\n</reasoning>\nFinal Answer: 2052"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 47 * 19 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×19=893, then 4+893-29=868.\n</reasoning>\nFinal Answer: 868"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 891 mod -284"
},
{
"role": "assistant",
"content": "<reasoning>\n891 mod -284: 891 = -284 × -4 + -245, so remainder = -245.\n</reasoning>\nFinal Answer: -245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -142 mod -622"
},
{
"role": "assistant",
"content": "<reasoning>\n-142 mod -622: -142 = -622 × 0 + -142, so remainder = -142.\n</reasoning>\nFinal Answer: -142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 232 mod 83"
},
{
"role": "assistant",
"content": "<reasoning>\n232 mod 83: 232 = 83 × 2 + 66, so remainder = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 194 × 588"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 194 by 588: 194 × 588 = 114072.\n</reasoning>\nFinal Answer: 114072"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 275 ÷ 199"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 275 by 199. 275 ÷ 199 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35935 at 16% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35935 × 16 × 4 / 100 = 22998.4.\n</reasoning>\nFinal Answer: 22998.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -924 × -379"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -924 by -379: -924 × -379 = 350196.\n</reasoning>\nFinal Answer: 350196"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 114 km/h. How far does it travel in 7 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 34/60 = 7.5667 hours. Distance = speed × time = 114 × 7.5667 = 862.6 km.\n</reasoning>\nFinal Answer: 862.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [38, 68, 58, 16, 9, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 211/6 = 35.1667.\n</reasoning>\nFinal Answer: 35.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:15 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/15, so B = A × (15/21) = 12 × 15/21 = 8.5714.\n</reasoning>\nFinal Answer: 8.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 11] and B = [14, 15, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 9, 11].\n</reasoning>\nFinal Answer: [5, 9, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹4461. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4461 × 18/100 = 802.98. Total = 4461 + 802.98 = 5263.98.\n</reasoning>\nFinal Answer: 5263.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 16) * (46 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+16)=36, (46-27)=19, then 36×19=684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 33 apples and buys 31 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 33 + 31 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 566 ÷ 102"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 566 by 102. 566 ÷ 102 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 75 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 75 × 21 = 787.5.\n</reasoning>\nFinal Answer: 787.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [8, 12, 15] and B = [3, 7, 8, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 7, 8, 12, 15].\n</reasoning>\nFinal Answer: [3, 7, 8, 12, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 6 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 6 = 54 worker-days. New time = 54 / 7 = 7.7143 days.\n</reasoning>\nFinal Answer: 7.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (9/2) = (99/20) = 99/20 after simplification.\n</reasoning>\nFinal Answer: 99/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 33 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 33 × 63 = 1039.5.\n</reasoning>\nFinal Answer: 1039.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 181 km/h. How far does it travel in 11 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 22/60 = 11.3667 hours. Distance = speed × time = 181 × 11.3667 = 2057.3667 km.\n</reasoning>\nFinal Answer: 2057.3667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 161 × 808"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 161 by 808: 161 × 808 = 130088.\n</reasoning>\nFinal Answer: 130088"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 / 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/6) ÷ (16/17) = (11/6) × (17/16) = 187/96.\n</reasoning>\nFinal Answer: 187/96"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 654 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 654 × (1 + 30/100) = 654 × 1.3 = 850.2.\n</reasoning>\nFinal Answer: 850.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 * 19/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/17) × (19/4) = (171/68) = 171/68 after simplification.\n</reasoning>\nFinal Answer: 171/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 40 = 2320.\n</reasoning>\nFinal Answer: 2320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 31, 65, 91, 46, 58, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 345/7 = 49.2857.\n</reasoning>\nFinal Answer: 49.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -513 ÷ -904"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -513 by -904. -513 ÷ -904 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 42) * (20 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+42)=77, (20-5)=15, then 77×15=1155.\n</reasoning>\nFinal Answer: 1155"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:25 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/25, so B = A × (25/17) = 43 × 25/17 = 63.2353.\n</reasoning>\nFinal Answer: 63.2353"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/9 / 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/9) ÷ (5/12) = (12/9) × (12/5) = 16/5.\n</reasoning>\nFinal Answer: 16/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 138 km/h. How far does it travel in 11 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 31/60 = 11.5167 hours. Distance = speed × time = 138 × 11.5167 = 1589.3 km.\n</reasoning>\nFinal Answer: 1589.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 297 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 297 × (1 + 25/100) = 297 × 1.25 = 371.25.\n</reasoning>\nFinal Answer: 371.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 / 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/14) ÷ (15/13) = (15/14) × (13/15) = 13/14.\n</reasoning>\nFinal Answer: 13/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 192 and 69."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(192,69) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 9, 2, 61, 36, 50, 28, 27, 31, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 61 - 2 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 43 + 18 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×43=86 and 18×1=18, then add: 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 881 + -273"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 881 and -273: 881 + -273 = 608.\n</reasoning>\nFinal Answer: 608"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 708 km apart. Their speeds are 84 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+111=195 km/h. Time = 708/195 = 3.6308 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/3 * 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/3) × (20/4) = (400/12) = 100/3 after simplification.\n</reasoning>\nFinal Answer: 100/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 13 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 28+169-47=150.\n</reasoning>\nFinal Answer: 150"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [30, 47, 64, 81, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 30 and common difference 17. Next term = 98 + 17 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -35 = -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 2x = -8. Divide by 2: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×42)/2 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "67 is what percentage of 491?"
},
{
"role": "assistant",
"content": "<reasoning>\n(67/491) × 100 = 13.6456%.\n</reasoning>\nFinal Answer: 13.6456%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:29 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/29, so B = A × (29/37) = 66 × 29/37 = 51.7297.\n</reasoning>\nFinal Answer: 51.7297"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -801 × 120"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -801 by 120: -801 × 120 = -96120.\n</reasoning>\nFinal Answer: -96120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 963 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 963 × (1 - 75/100) = 963 × 0.25 = 240.75.\n</reasoning>\nFinal Answer: 240.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 / 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/4) ÷ (17/20) = (13/4) × (20/17) = 65/17.\n</reasoning>\nFinal Answer: 65/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:41 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/41, so B = A × (41/40) = 59 × 41/40 = 60.475.\n</reasoning>\nFinal Answer: 60.475"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [10, 14, 15, 16, 19] and B = [1, 2, 5, 7, 9, 13, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 7, 9, 10, 13, 15, 16, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 22 = 33.0.\n</reasoning>\nFinal Answer: 33.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 - 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/7 - 6/20. LCD = 70. Result = 149/70.\n</reasoning>\nFinal Answer: 149/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1742. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1742 × 18/100 = 313.56. Total = 1742 + 313.56 = 2055.56.\n</reasoning>\nFinal Answer: 2055.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 97 = 6208.\n</reasoning>\nFinal Answer: 6208"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 / 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/2) ÷ (8/15) = (18/2) × (15/8) = 135/8.\n</reasoning>\nFinal Answer: 135/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -276 × 878"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -276 by 878: -276 × 878 = -242328.\n</reasoning>\nFinal Answer: -242328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1459. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1459 × 5/100 = 72.95. Total = 1459 + 72.95 = 1531.95.\n</reasoning>\nFinal Answer: 1531.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:5 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/5, so B = A × (5/50) = 20 × 5/50 = 2.0.\n</reasoning>\nFinal Answer: 2.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 65% of 91?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 91 = (65/100) × 91 = 59.15.\n</reasoning>\nFinal Answer: 59.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 35 = 1055"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 30x = 1020. Divide by 30: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 113 - -790"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -790 from 113: 113 - -790 = 903.\n</reasoning>\nFinal Answer: 903"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:33 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/33, so B = A × (33/10) = 19 × 33/10 = 62.7.\n</reasoning>\nFinal Answer: 62.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 912 km apart. Their speeds are 69 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+64=133 km/h. Time = 912/133 = 6.8571 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 946 km apart. Their speeds are 109 km/h and 83 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+83=192 km/h. Time = 946/192 = 4.9271 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 13 = -1163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 28x = -1176. Divide by 28: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 - 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/14 - 3/5. LCD = 70. Result = 53/70.\n</reasoning>\nFinal Answer: 53/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 60 ÷ -296"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 60 by -296. 60 ÷ -296 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 28 = 2128.\n</reasoning>\nFinal Answer: 2128"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -65 - -158"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -158 from -65: -65 - -158 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "41 is what percentage of 255?"
},
{
"role": "assistant",
"content": "<reasoning>\n(41/255) × 100 = 16.0784%.\n</reasoning>\nFinal Answer: 16.0784%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -8 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 8x = 40. Divide by 8: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (18)x + (15) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×3×15 = 144. √discriminant = 12. x = (-(18) ± 12) / (2×3). Solutions: x = -5 or x = -1.\n</reasoning>\nFinal Answer: x = -5 or x = -1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -927 - -577"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -577 from -927: -927 - -577 = -350.\n</reasoning>\nFinal Answer: -350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 * 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/5) × (20/10) = (80/50) = 8/5 after simplification.\n</reasoning>\nFinal Answer: 8/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -311 + -276"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -311 and -276: -311 + -276 = -587.\n</reasoning>\nFinal Answer: -587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 876 km apart. Their speeds are 65 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+92=157 km/h. Time = 876/157 = 5.5796 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:32 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/32, so B = A × (32/13) = 57 × 32/13 = 140.3077.\n</reasoning>\nFinal Answer: 140.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 878 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 878 × (1 - 65/100) = 878 × 0.35 = 307.3.\n</reasoning>\nFinal Answer: 307.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 - 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/17 - 8/15. LCD = 255. Result = -46/255.\n</reasoning>\nFinal Answer: -46/255"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -278 + -342"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -278 and -342: -278 + -342 = -620.\n</reasoning>\nFinal Answer: -620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 524 × 140"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 524 by 140: 524 × 140 = 73360.\n</reasoning>\nFinal Answer: 73360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 194 km apart. Their speeds are 76 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+115=191 km/h. Time = 194/191 = 1.0157 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 24 * 22 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×22=528, then 39+528-19=548.\n</reasoning>\nFinal Answer: 548"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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