messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 42:2 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/2, so B = A × (2/42) = 78 × 2/42 = 3.7143.\n</reasoning>\nFinal Answer: 3.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "List all positive factors of 97."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 97: factors are [1, 97].\n</reasoning>\nFinal Answer: [1, 97]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 9, 95, 32, 96, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 339/6 = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 * 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/8) × (15/17) = (105/136) = 105/136 after simplification.\n</reasoning>\nFinal Answer: 105/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 89, 85, 35, 62, 95, 13, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 13 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 702 mod 412"
},
{
"role": "assistant",
"content": "<reasoning>\n702 mod 412: 702 = 412 × 1 + 290, so remainder = 290.\n</reasoning>\nFinal Answer: 290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 631 mod 467"
},
{
"role": "assistant",
"content": "<reasoning>\n631 mod 467: 631 = 467 × 1 + 164, so remainder = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 4 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+4) × 19 = 465.5.\n</reasoning>\nFinal Answer: 465.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 100, 46, 71, 37, 23, 39, 63, 89, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 516/10 = 51.6.\n</reasoning>\nFinal Answer: 51.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 35, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 35 + 38 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:2 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/2, so B = A × (2/16) = 98 × 2/16 = 12.25.\n</reasoning>\nFinal Answer: 12.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 1 + 46 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×1=39 and 46×27=1242, then add: 1281.\n</reasoning>\nFinal Answer: 1281"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -35 = -881"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 18x = -846. Divide by 18: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:14 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/14, so B = A × (14/35) = 97 × 14/35 = 38.8.\n</reasoning>\nFinal Answer: 38.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 34, 24, 84, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 24 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 5 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+5) × 20 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4753 at 17% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4753 × 17 × 5 / 100 = 4040.05.\n</reasoning>\nFinal Answer: 4040.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:12 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/12, so B = A × (12/2) = 3 × 12/2 = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -170 - 522"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 522 from -170: -170 - 522 = -692.\n</reasoning>\nFinal Answer: -692"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 34 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(34+80) = 2×114 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -116 mod -981"
},
{
"role": "assistant",
"content": "<reasoning>\n-116 mod -981: -116 = -981 × 0 + -116, so remainder = -116.\n</reasoning>\nFinal Answer: -116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3183. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3183 × 18/100 = 572.94. Total = 3183 + 572.94 = 3755.94.\n</reasoning>\nFinal Answer: 3755.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 755 + -127"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 755 and -127: 755 + -127 = 628.\n</reasoning>\nFinal Answer: 628"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 229 ÷ -806"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 229 by -806. 229 ÷ -806 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:38 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/38, so B = A × (38/22) = 73 × 38/22 = 126.0909.\n</reasoning>\nFinal Answer: 126.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "362 is what percentage of 560?"
},
{
"role": "assistant",
"content": "<reasoning>\n(362/560) × 100 = 64.6429%.\n</reasoning>\nFinal Answer: 64.6429%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -121 ÷ 894"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -121 by 894. -121 ÷ 894 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 718?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 718 = (100/100) × 718 = 718.0.\n</reasoning>\nFinal Answer: 718.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 4 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 24/60 = 4.4000 hours. Distance = speed × time = 66 × 4.4000 = 290.4 km.\n</reasoning>\nFinal Answer: 290.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 41 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 20x = -100. Divide by 20: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -18 = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 18x = 18. Divide by 18: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "512 is what percentage of 894?"
},
{
"role": "assistant",
"content": "<reasoning>\n(512/894) × 100 = 57.2707%.\n</reasoning>\nFinal Answer: 57.2707%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 161 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 161 × (1 - 50/100) = 161 × 0.5 = 80.5.\n</reasoning>\nFinal Answer: 80.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 480."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 480 by smallest primes repeatedly: 480 = 2 × 2 × 2 × 2 × 2 × 3 × 5.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 2 × 3 × 5"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 26 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 26 × 31 = 806.\n</reasoning>\nFinal Answer: 806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 100 km apart. Their speeds are 74 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+112=186 km/h. Time = 100/186 = 0.5376 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 41 = -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 17x = -357. Divide by 17: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 28 = -26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 6x = -54. Divide by 6: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:6 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/6, so B = A × (6/37) = 93 × 6/37 = 15.0811.\n</reasoning>\nFinal Answer: 15.0811"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+54) = 2×120 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 / 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/7) ÷ (15/7) = (16/7) × (7/15) = 16/15.\n</reasoning>\nFinal Answer: 16/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 24 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 46+576-48=574.\n</reasoning>\nFinal Answer: 574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 8 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 12+64-10=66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:35 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/35, so B = A × (35/12) = 97 × 35/12 = 282.9167.\n</reasoning>\nFinal Answer: 282.9167"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 35 * 36 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×36=1260, then 37+1260-17=1280.\n</reasoning>\nFinal Answer: 1280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 49 = 64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 15x = 15. Divide by 15: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 47 = -733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 30x = -780. Divide by 30: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:15 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/15, so B = A × (15/2) = 27 × 15/2 = 202.5.\n</reasoning>\nFinal Answer: 202.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 340 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 340 × (1 + 100/100) = 340 × 2.0 = 680.0.\n</reasoning>\nFinal Answer: 680.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:8 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/8, so B = A × (8/25) = 44 × 8/25 = 14.08.\n</reasoning>\nFinal Answer: 14.08"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 39 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (39×20)/1 = 780.\n</reasoning>\nFinal Answer: 780"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 13 * 43 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×43=559, then 15+559-48=526.\n</reasoning>\nFinal Answer: 526"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 910 - 647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 647 from 910: 910 - 647 = 263.\n</reasoning>\nFinal Answer: 263"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -709 mod -653"
},
{
"role": "assistant",
"content": "<reasoning>\n-709 mod -653: -709 = -653 × 1 + -56, so remainder = -56.\n</reasoning>\nFinal Answer: -56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:46 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/46, so B = A × (46/32) = 74 × 46/32 = 106.375.\n</reasoning>\nFinal Answer: 106.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 71, 37, 8, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 196/5 = 39.2.\n</reasoning>\nFinal Answer: 39.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 59, 88, 97, 70, 93, 11, 100, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 11 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 28 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+28) × 6 = 96.0.\n</reasoning>\nFinal Answer: 96.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 26, 34, 73, 85, 49, 67, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 26, 30, 34, 49, 67, 73, 85]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 21 = 849"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 23x = 828. Divide by 23: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 42 = 156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 19x = 114. Divide by 19: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 - 17/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/15 - 17/16. LCD = 240. Result = -79/240.\n</reasoning>\nFinal Answer: -79/240"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -349 + 949"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -349 and 949: -349 + 949 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 632?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 632 = (75/100) × 632 = 474.0.\n</reasoning>\nFinal Answer: 474.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 4 hours and 34 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 34/60 = 4.5667 hours. Distance = speed × time = 121 × 4.5667 = 552.5667 km.\n</reasoning>\nFinal Answer: 552.5667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 - 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/17 - 8/11. LCD = 187. Result = 73/187.\n</reasoning>\nFinal Answer: 73/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41593 at 10% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41593 × 10 × 6 / 100 = 24955.8.\n</reasoning>\nFinal Answer: 24955.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -401 mod -35"
},
{
"role": "assistant",
"content": "<reasoning>\n-401 mod -35: -401 = -35 × 11 + -16, so remainder = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 11 * 20 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×20=220, then 18+220-30=208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 2 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 10/12 = 0.8333.\n</reasoning>\nFinal Answer: 0.8333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 38 = 302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 6x = 264. Divide by 6: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 966 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 966 × (1 - 70/100) = 966 × 0.30000000000000004 = 289.8.\n</reasoning>\nFinal Answer: 289.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 19 = -89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 27x = -108. Divide by 27: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 86, 70, 88, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 86: 1, 70: 1, 88: 1, 77: 1}. Most frequent: [54, 86, 70, 88, 77].\n</reasoning>\nFinal Answer: [54, 86, 70, 88, 77]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 18 = 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 3x = 48. Divide by 3: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 22 + 27 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×22=330 and 27×22=594, then add: 924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 5 hours and 20 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 20/60 = 5.3333 hours. Distance = speed × time = 199 × 5.3333 = 1061.3333 km.\n</reasoning>\nFinal Answer: 1061.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -936 mod -195"
},
{
"role": "assistant",
"content": "<reasoning>\n-936 mod -195: -936 = -195 × 4 + -156, so remainder = -156.\n</reasoning>\nFinal Answer: -156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 23) * (3 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+23)=55, (3-18)=-15, then 55×-15=-825.\n</reasoning>\nFinal Answer: -825"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20803 at 4% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20803 × 4 × 6 / 100 = 4992.72.\n</reasoning>\nFinal Answer: 4992.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [32, 62, 51, 10, 10, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 10, 32, 51, 53, 62]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 12/3 + 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/3 + 4/15. Common denominator = 15. Result = 64/15.\n</reasoning>\nFinal Answer: 64/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4678. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4678 × 12/100 = 561.36. Total = 4678 + 561.36 = 5239.36.\n</reasoning>\nFinal Answer: 5239.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 870 mod -693"
},
{
"role": "assistant",
"content": "<reasoning>\n870 mod -693: 870 = -693 × -2 + -516, so remainder = -516.\n</reasoning>\nFinal Answer: -516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 28, 61, 68, 42, 30, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 30, 42, 61, 68, 81, 84]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 48 and 200."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(48,200) = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 14/20 * 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/20) × (7/5) = (98/100) = 49/50 after simplification.\n</reasoning>\nFinal Answer: 49/50"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 20 = -60"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 16x = -80. Divide by 16: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 913 + -593"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 913 and -593: 913 + -593 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 * 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/5) × (19/8) = (171/40) = 171/40 after simplification.\n</reasoning>\nFinal Answer: 171/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -261 ÷ 177"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -261 by 177. -261 ÷ 177 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 12 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 12 = 84 worker-days. New time = 84 / 16 = 5.25 days.\n</reasoning>\nFinal Answer: 5.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 16, 26, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 16 + 26 + 37 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:16 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/16, so B = A × (16/26) = 13 × 16/26 = 8.0.\n</reasoning>\nFinal Answer: 8.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/14 - 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/14 - 17/12. LCD = 84. Result = -59/84.\n</reasoning>\nFinal Answer: -59/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+76) = 2×156 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 18 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 18 × 37 = 666.\n</reasoning>\nFinal Answer: 666"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -23 = -507"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 11x = -484. Divide by 11: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -8 = -46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 2x = -38. Divide by 2: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 821 ÷ 313"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 821 by 313. 821 ÷ 313 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
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