messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 38:29 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/29, so B = A × (29/38) = 37 × 29/38 = 28.2368.\n</reasoning>\nFinal Answer: 28.2368"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 + 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/20 + 5/5. Common denominator = 20. Result = 21/20.\n</reasoning>\nFinal Answer: 21/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 509 × 773"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 509 by 773: 509 × 773 = 393457.\n</reasoning>\nFinal Answer: 393457"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 90, 98, 73, 56, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 11 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 37 = 122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 17x = 85. Divide by 17: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -993 × 558"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -993 by 558: -993 × 558 = -554094.\n</reasoning>\nFinal Answer: -554094"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 26, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 26 + 34 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 21 * 36 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×36=756, then 2+756-5=753.\n</reasoning>\nFinal Answer: 753"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "303 is what percentage of 858?"
},
{
"role": "assistant",
"content": "<reasoning>\n(303/858) × 100 = 35.3147%.\n</reasoning>\nFinal Answer: 35.3147%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 780 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 780 × (1 + 50/100) = 780 × 1.5 = 1170.0.\n</reasoning>\nFinal Answer: 1170.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 823 km apart. Their speeds are 63 km/h and 108 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 63+108=171 km/h. Time = 823/171 = 4.8129 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -911 × 198"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -911 by 198: -911 × 198 = -180378.\n</reasoning>\nFinal Answer: -180378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 9 = 585.\n</reasoning>\nFinal Answer: 585"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -287 - 920"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 920 from -287: -287 - 920 = -1207.\n</reasoning>\nFinal Answer: -1207"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 44 = 1716.0.\n</reasoning>\nFinal Answer: 1716.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 27 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 14+729-42=701.\n</reasoning>\nFinal Answer: 701"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 804 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 804 × (1 + 12/100) = 804 × 1.12 = 900.48.\n</reasoning>\nFinal Answer: 900.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 8, 22 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+22) × 20 = 300.0.\n</reasoning>\nFinal Answer: 300.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×16)/1 = 400.\n</reasoning>\nFinal Answer: 400"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -3 + -534"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -3 and -534: -3 + -534 = -537.\n</reasoning>\nFinal Answer: -537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 15 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 11x = -110. Divide by 11: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 412 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 412 × (1 - 17/100) = 412 × 0.83 = 341.96.\n</reasoning>\nFinal Answer: 341.96"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 73, 39, 29, 7, 67, 85, 30, 34, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 7, 29, 30, 34, 39, 60, 67, 73, 85]. Middle value(s) → median = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 346 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 346 × (1 + 70/100) = 346 × 1.7 = 588.2.\n</reasoning>\nFinal Answer: 588.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -18 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 16x = -192. Divide by 16: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 25 + 24 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×25=800 and 24×20=480, then add: 1280.\n</reasoning>\nFinal Answer: 1280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 25) * (9 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+25)=75, (9-27)=-18, then 75×-18=-1350.\n</reasoning>\nFinal Answer: -1350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -840 × 573"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -840 by 573: -840 × 573 = -481320.\n</reasoning>\nFinal Answer: -481320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -365 ÷ -840"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -365 by -840. -365 ÷ -840 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 11, 12, 15, 16, 19] and B = [12, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 8, 11, 16].\n</reasoning>\nFinal Answer: [4, 8, 11, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 33 = -1017"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 30x = -1050. Divide by 30: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25005 at 9% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25005 × 9 × 3 / 100 = 6751.35.\n</reasoning>\nFinal Answer: 6751.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -596 + -397"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -596 and -397: -596 + -397 = -993.\n</reasoning>\nFinal Answer: -993"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 145 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 145 = 326.\n</reasoning>\nFinal Answer: 326"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3730. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3730 × 12/100 = 447.6. Total = 3730 + 447.6 = 4177.6.\n</reasoning>\nFinal Answer: 4177.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 13, 16, 17] and B = [4, 13, 14, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 6, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 785 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 785 × (1 - 35/100) = 785 × 0.65 = 510.25.\n</reasoning>\nFinal Answer: 510.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -23 = -101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 2x = -78. Divide by 2: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 * 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/13) × (2/18) = (30/234) = 5/39 after simplification.\n</reasoning>\nFinal Answer: 5/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18458 at 20% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18458 × 20 × 7 / 100 = 25841.2.\n</reasoning>\nFinal Answer: 25841.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 18 = 718"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 14x = 700. Divide by 14: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1464. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1464 × 5/100 = 73.2. Total = 1464 + 73.2 = 1537.2.\n</reasoning>\nFinal Answer: 1537.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 27 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 27 = 162 worker-days. New time = 162 / 5 = 32.4 days.\n</reasoning>\nFinal Answer: 32.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -220 ÷ 537"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -220 by 537. -220 ÷ 537 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 216 × -366"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 216 by -366: 216 × -366 = -79056.\n</reasoning>\nFinal Answer: -79056"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 68, 38, 47, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 7 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 3 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 3/10 = 0.3.\n</reasoning>\nFinal Answer: 0.3"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 1 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 68 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 68 × 22 = 1496.\n</reasoning>\nFinal Answer: 1496"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 517 ÷ 294"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 517 by 294. 517 ÷ 294 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 10] and B = [4, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 8, 9, 10, 15, 19].\n</reasoning>\nFinal Answer: [1, 4, 8, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 597 ÷ 194"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 597 by 194. 597 ÷ 194 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 10 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 24/60 = 10.4000 hours. Distance = speed × time = 73 × 10.4000 = 759.2 km.\n</reasoning>\nFinal Answer: 759.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 67 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(67+26) = 2×93 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 15 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 15 × (1 - 30/100) = 15 × 0.7 = 10.5.\n</reasoning>\nFinal Answer: 10.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "112 is what percentage of 710?"
},
{
"role": "assistant",
"content": "<reasoning>\n(112/710) × 100 = 15.7746%.\n</reasoning>\nFinal Answer: 15.7746%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 * 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/10) × (20/8) = (400/80) = 5 after simplification.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 32 + 30 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×32=928 and 30×32=960, then add: 1888.\n</reasoning>\nFinal Answer: 1888"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -5 = 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 20x = 60. Divide by 20: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "270 is what percentage of 353?"
},
{
"role": "assistant",
"content": "<reasoning>\n(270/353) × 100 = 76.4873%.\n</reasoning>\nFinal Answer: 76.4873%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 1 + 20 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×1=44 and 20×25=500, then add: 544.\n</reasoning>\nFinal Answer: 544"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 368 + 938"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 368 and 938: 368 + 938 = 1306.\n</reasoning>\nFinal Answer: 1306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -9 = -1231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 26x = -1222. Divide by 26: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 71 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(71+8) = 2×79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 71, 60, 74, 33, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 314/6 = 52.3333.\n</reasoning>\nFinal Answer: 52.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -647 × -350"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -647 by -350: -647 × -350 = 226450.\n</reasoning>\nFinal Answer: 226450"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -317 × 844"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -317 by 844: -317 × 844 = -267548.\n</reasoning>\nFinal Answer: -267548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 3 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 29+9-14=24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 50 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 10x = 70. Divide by 10: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 7 apples and buys 56 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 7 + 56 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 16) * (26 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+16)=59, (26-38)=-12, then 59×-12=-708.\n</reasoning>\nFinal Answer: -708"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 49 = 105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 28x = 56. Divide by 28: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -46 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 6x = 144. Divide by 6: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 16, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (21-1)×16 = 48 + 320 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 5 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 46/60 = 5.7667 hours. Distance = speed × time = 180 × 5.7667 = 1038.0 km.\n</reasoning>\nFinal Answer: 1038.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 66 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n66 = 2 × 33, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:20 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/20, so B = A × (20/40) = 99 × 20/40 = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 183 km/h. How far does it travel in 9 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 6/60 = 9.1000 hours. Distance = speed × time = 183 × 9.1000 = 1665.3 km.\n</reasoning>\nFinal Answer: 1665.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -40 = -274"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 26x = -234. Divide by 26: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 27 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 9+729-45=693.\n</reasoning>\nFinal Answer: 693"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (30)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 30² - 4×5×40 = 100. √discriminant = 10. x = (-(30) ± 10) / (2×5). Solutions: x = -2 or x = -4.\n</reasoning>\nFinal Answer: x = -2 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 10 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 10 = 130 worker-days. New time = 130 / 8 = 16.25 days.\n</reasoning>\nFinal Answer: 16.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 27 = 243.0.\n</reasoning>\nFinal Answer: 243.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 33 = 96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 9x = 63. Divide by 9: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "592 is what percentage of 838?"
},
{
"role": "assistant",
"content": "<reasoning>\n(592/838) × 100 = 70.6444%.\n</reasoning>\nFinal Answer: 70.6444%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -10 = -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 12x = -132. Divide by 12: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 41, 25, 23, 54, 84, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 23 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 95, 17, 27, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 3 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-15)x + (-18) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -15² - 4×3×-18 = 441. √discriminant = 21. x = (-(-15) ± 21) / (2×3). Solutions: x = -1 or x = 6.\n</reasoning>\nFinal Answer: x = -1 or x = 6"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 15) * (40 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+15)=27, (40-24)=16, then 27×16=432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 42 + 30 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×42=1302 and 30×17=510, then add: 1812.\n</reasoning>\nFinal Answer: 1812"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 9 = 387.0.\n</reasoning>\nFinal Answer: 387.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40917 at 17% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40917 × 17 × 1 / 100 = 6955.89.\n</reasoning>\nFinal Answer: 6955.89"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 13, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (40-1)×13 = 38 + 507 = 545.\n</reasoning>\nFinal Answer: 545"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 13 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 13 = 208 worker-days. New time = 208 / 16 = 13.0 days.\n</reasoning>\nFinal Answer: 13.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 698 × 605"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 698 by 605: 698 × 605 = 422290.\n</reasoning>\nFinal Answer: 422290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 18 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 8x = -200. Divide by 8: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 28) * (26 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+28)=44, (26-28)=-2, then 44×-2=-88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "527 is what percentage of 631?"
},
{
"role": "assistant",
"content": "<reasoning>\n(527/631) × 100 = 83.5182%.\n</reasoning>\nFinal Answer: 83.5182%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "28 is what percentage of 123?"
},
{
"role": "assistant",
"content": "<reasoning>\n(28/123) × 100 = 22.7642%.\n</reasoning>\nFinal Answer: 22.7642%"
}
] | medium | [
"percentage",
"ratio"
] |
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