messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "A train travels at 42 km/h. How far does it travel in 11 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 56/60 = 11.9333 hours. Distance = speed × time = 42 × 11.9333 = 501.2 km.\n</reasoning>\nFinal Answer: 501.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 / 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/16) ÷ (11/9) = (5/16) × (9/11) = 45/176.\n</reasoning>\nFinal Answer: 45/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:35 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/35, so B = A × (35/25) = 27 × 35/25 = 37.8.\n</reasoning>\nFinal Answer: 37.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 - 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/8 - 20/15. LCD = 3. Result = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 45 + 36 * 30"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×45=315 and 36×30=1080, then add: 1395.\n</reasoning>\nFinal Answer: 1395"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -931 - 940"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 940 from -931: -931 - 940 = -1871.\n</reasoning>\nFinal Answer: -1871"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -987 ÷ 634"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -987 by 634. -987 ÷ 634 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 4 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 11/60 = 4.1833 hours. Distance = speed × time = 182 × 4.1833 = 761.3667 km.\n</reasoning>\nFinal Answer: 761.3667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 / 15/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/17) ÷ (15/17) = (3/17) × (17/15) = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 14) * (12 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+14)=52, (12-25)=-13, then 52×-13=-676.\n</reasoning>\nFinal Answer: -676"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -991 mod -706"
},
{
"role": "assistant",
"content": "<reasoning>\n-991 mod -706: -991 = -706 × 1 + -285, so remainder = -285.\n</reasoning>\nFinal Answer: -285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 5, 7, 12, 13, 14] and B = [4, 5, 10, 12, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 5, 7, 10, 12, 13, 14, 19].\n</reasoning>\nFinal Answer: [2, 3, 4, 5, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -412 ÷ 233"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -412 by 233. -412 ÷ 233 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 28, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 28 + 37 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 194 km/h. How far does it travel in 11 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 30/60 = 11.5000 hours. Distance = speed × time = 194 × 11.5000 = 2231.0 km.\n</reasoning>\nFinal Answer: 2231.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/2 / 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/2) ÷ (3/5) = (19/2) × (5/3) = 95/6.\n</reasoning>\nFinal Answer: 95/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 851 × -935"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 851 by -935: 851 × -935 = -795685.\n</reasoning>\nFinal Answer: -795685"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 26 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 26 = 494 worker-days. New time = 494 / 10 = 49.4 days.\n</reasoning>\nFinal Answer: 49.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 827 - -29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from 827: 827 - -29 = 856.\n</reasoning>\nFinal Answer: 856"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:49 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/49, so B = A × (49/25) = 88 × 49/25 = 172.48.\n</reasoning>\nFinal Answer: 172.48"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 10, 12] and B = [6, 9, 13, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 34, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 34 + 39 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 24 + 10 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×24=288 and 10×43=430, then add: 718.\n</reasoning>\nFinal Answer: 718"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 89, 79, 63, 20, 69, 81, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 20 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 29, 98, 42, 68, 68, 52, 14, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 502/9 = 55.7778.\n</reasoning>\nFinal Answer: 55.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 9 = 450"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 9x = 441. Divide by 9: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [39, 18, 14, 25, 12, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 118/6 = 19.6667.\n</reasoning>\nFinal Answer: 19.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [3, 12, 15] and B = [4, 10, 11, 13, 14, 16, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -3 = 807"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 27x = 810. Divide by 27: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×11)/1 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 9 + 18 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×9=342 and 18×5=90, then add: 432.\n</reasoning>\nFinal Answer: 432"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 69 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(69+61) = 2×130 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -45 - -352"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -352 from -45: -45 - -352 = 307.\n</reasoning>\nFinal Answer: 307"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 14) * (45 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+14)=55, (45-44)=1, then 55×1=55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 482 km apart. Their speeds are 103 km/h and 112 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+112=215 km/h. Time = 482/215 = 2.2419 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 / 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/14) ÷ (16/16) = (6/14) × (16/16) = 3/7.\n</reasoning>\nFinal Answer: 3/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 1 * 5 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×5=5, then 6+5-30=-19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -238 - -838"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -838 from -238: -238 - -838 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 54 apples and buys 80 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 54 + 80 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 895 + -152"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 895 and -152: 895 + -152 = 743.\n</reasoning>\nFinal Answer: 743"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 - 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/9 - 10/17. LCD = 153. Result = 182/153.\n</reasoning>\nFinal Answer: 182/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 178?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 178 = (65/100) × 178 = 115.7.\n</reasoning>\nFinal Answer: 115.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 10 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 10/60 = 10.1667 hours. Distance = speed × time = 65 × 10.1667 = 660.8333 km.\n</reasoning>\nFinal Answer: 660.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 - 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/19 - 20/15. LCD = 57. Result = -43/57.\n</reasoning>\nFinal Answer: -43/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+77) = 2×115 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 25% of 319?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 319 = (25/100) × 319 = 79.75.\n</reasoning>\nFinal Answer: 79.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 13 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 13 = 221 worker-days. New time = 221 / 3 = 73.6667 days.\n</reasoning>\nFinal Answer: 73.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 30 + 7 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×30=420 and 7×37=259, then add: 679.\n</reasoning>\nFinal Answer: 679"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 17, 24, 73, 66, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 24, 66, 66, 72, 73]. Middle value(s) → median = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 602 ÷ -889"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 602 by -889. 602 ÷ -889 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 75 = 1275.0.\n</reasoning>\nFinal Answer: 1275.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 149 km/h. How far does it travel in 8 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 43/60 = 8.7167 hours. Distance = speed × time = 149 × 8.7167 = 1298.7833 km.\n</reasoning>\nFinal Answer: 1298.7833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 786 km apart. Their speeds are 99 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+117=216 km/h. Time = 786/216 = 3.6389 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 556 + 175"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 556 and 175: 556 + 175 = 731.\n</reasoning>\nFinal Answer: 731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 38, 79, 32, 22, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 297/6 = 49.5.\n</reasoning>\nFinal Answer: 49.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -682 + -241"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -682 and -241: -682 + -241 = -923.\n</reasoning>\nFinal Answer: -923"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 6 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 3/60 = 6.0500 hours. Distance = speed × time = 85 × 6.0500 = 514.25 km.\n</reasoning>\nFinal Answer: 514.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 18 = 828"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 30x = 810. Divide by 30: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×36)/2 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 + 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/7 + 9/10. Common denominator = 70. Result = 163/70.\n</reasoning>\nFinal Answer: 163/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:5 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/5, so B = A × (5/42) = 64 × 5/42 = 7.619.\n</reasoning>\nFinal Answer: 7.619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 943 - -219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -219 from 943: 943 - -219 = 1162.\n</reasoning>\nFinal Answer: 1162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 10% of 634?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 634 = (10/100) × 634 = 63.4.\n</reasoning>\nFinal Answer: 63.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 7 = 35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 28x = 28. Divide by 28: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 362 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 362 × (1 - 7/100) = 362 × 0.9299999999999999 = 336.66.\n</reasoning>\nFinal Answer: 336.66"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 8 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 8²=64, then 49+64-48=65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×46)/1 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 138 - 715"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 715 from 138: 138 - 715 = -577.\n</reasoning>\nFinal Answer: -577"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 1, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (12-1)×1 = 28 + 11 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 775 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 775 × (1 + 70/100) = 775 × 1.7 = 1317.5.\n</reasoning>\nFinal Answer: 1317.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 + 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/13 + 20/2. Common denominator = 13. Result = 141/13.\n</reasoning>\nFinal Answer: 141/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×3)/3 = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -36 = 1039"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 25x = 1075. Divide by 25: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 11 = 686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 15x = 675. Divide by 15: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 84 = 8064.\n</reasoning>\nFinal Answer: 8064"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 428 - -873"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -873 from 428: 428 - -873 = 1301.\n</reasoning>\nFinal Answer: 1301"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 41 = 401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 15x = 360. Divide by 15: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 30, 100, 37, 77, 81, 77, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 30 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 18 = 882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 24x = 864. Divide by 24: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -100 × 60"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -100 by 60: -100 × 60 = -6000.\n</reasoning>\nFinal Answer: -6000"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 47 = -841"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 24x = -888. Divide by 24: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -990 ÷ 182"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -990 by 182. -990 ÷ 182 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 30 = 822"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 18x = 792. Divide by 18: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:14 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/14, so B = A × (14/30) = 29 × 14/30 = 13.5333.\n</reasoning>\nFinal Answer: 13.5333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 217 ÷ 671"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 217 by 671. 217 ÷ 671 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -249 × 126"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -249 by 126: -249 × 126 = -31374.\n</reasoning>\nFinal Answer: -31374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 41 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+41) × 37 = 1665.0.\n</reasoning>\nFinal Answer: 1665.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 6, 10, 16] and B = [12, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [16].\n</reasoning>\nFinal Answer: [16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (10/9) = (60/162) = 10/27 after simplification.\n</reasoning>\nFinal Answer: 10/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 6 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 52/60 = 6.8667 hours. Distance = speed × time = 46 × 6.8667 = 315.8667 km.\n</reasoning>\nFinal Answer: 315.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14571 at 3% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14571 × 3 × 5 / 100 = 2185.65.\n</reasoning>\nFinal Answer: 2185.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -751 - 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 135 from -751: -751 - 135 = -886.\n</reasoning>\nFinal Answer: -886"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 5 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 26/60 = 5.4333 hours. Distance = speed × time = 189 × 5.4333 = 1026.9 km.\n</reasoning>\nFinal Answer: 1026.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 8 = -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 4x = -104. Divide by 4: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 62 and 76."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(62,76) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [33, 38, 43, 48, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 33 and common difference 5. Next term = 53 + 5 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 354 km apart. Their speeds are 97 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 97+92=189 km/h. Time = 354/189 = 1.873 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 100% of 127?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 127 = (100/100) × 127 = 127.0.\n</reasoning>\nFinal Answer: 127.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -667 × -611"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -667 by -611: -667 × -611 = 407537.\n</reasoning>\nFinal Answer: 407537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 - 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/15 - 17/3. LCD = 15. Result = -74/15.\n</reasoning>\nFinal Answer: -74/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
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