messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 6/9 - 6/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/9 - 6/7. LCD = 21. Result = -4/21.\n</reasoning>\nFinal Answer: -4/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 576 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 576 × (1 - 90/100) = 576 × 0.09999999999999998 = 57.6.\n</reasoning>\nFinal Answer: 57.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 29 = -331"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 9x = -360. Divide by 9: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 32 = -215"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 13x = -247. Divide by 13: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 7% of 835?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 835 = (7/100) × 835 = 58.45.\n</reasoning>\nFinal Answer: 58.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 * 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/11) × (17/15) = (323/165) = 323/165 after simplification.\n</reasoning>\nFinal Answer: 323/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 13 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 13 × 96 = 1248.\n</reasoning>\nFinal Answer: 1248"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 17 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 17 = 221 worker-days. New time = 221 / 15 = 14.7333 days.\n</reasoning>\nFinal Answer: 14.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 10, 11, 12] and B = [1, 6, 11, 12, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 6, 10, 16, 19].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -48 = -240"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 24x = -192. Divide by 24: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 16 = -460"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 14x = -476. Divide by 14: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:15 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/15, so B = A × (15/7) = 28 × 15/7 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 44 + 48 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×44=1100 and 48×14=672, then add: 1772.\n</reasoning>\nFinal Answer: 1772"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -999 + 582"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -999 and 582: -999 + 582 = -417.\n</reasoning>\nFinal Answer: -417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 834 km apart. Their speeds are 90 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+110=200 km/h. Time = 834/200 = 4.17 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -18 = 190"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 8x = 208. Divide by 8: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "148 is what percentage of 541?"
},
{
"role": "assistant",
"content": "<reasoning>\n(148/541) × 100 = 27.3567%.\n</reasoning>\nFinal Answer: 27.3567%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 44 = -374"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 19x = -418. Divide by 19: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 650 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 650 × (1 - 75/100) = 650 × 0.25 = 162.5.\n</reasoning>\nFinal Answer: 162.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 837 km apart. Their speeds are 47 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+84=131 km/h. Time = 837/131 = 6.3893 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 28, 38, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 28 + 38 + 40 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:40 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/40, so B = A × (40/44) = 57 × 40/44 = 51.8182.\n</reasoning>\nFinal Answer: 51.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -21 ÷ -164"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -21 by -164. -21 ÷ -164 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 3 = 303"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 15x = 300. Divide by 15: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:33 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/33, so B = A × (33/22) = 61 × 33/22 = 91.5.\n</reasoning>\nFinal Answer: 91.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 50 + 44 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×50=1950 and 44×20=880, then add: 2830.\n</reasoning>\nFinal Answer: 2830"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 55, 21, 5, 4, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 5, 11, 21, 30, 55]. Middle value(s) → median = 16.0.\n</reasoning>\nFinal Answer: 16.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 77 = 5929.\n</reasoning>\nFinal Answer: 5929"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 113 km apart. Their speeds are 62 km/h and 59 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+59=121 km/h. Time = 113/121 = 0.9339 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 47, 91, 90, 73, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 47 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -7 = 18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 25x = 25. Divide by 25: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4138 at 6% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4138 × 6 × 7 / 100 = 1737.96.\n</reasoning>\nFinal Answer: 1737.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 3 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 5x = 0. Divide by 5: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -15 = -965"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 19x = -950. Divide by 19: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [34, 51, 69, 26, 28, 15, 53, 83, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 427/9 = 47.4444.\n</reasoning>\nFinal Answer: 47.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 287 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 287 × (1 + 50/100) = 287 × 1.5 = 430.5.\n</reasoning>\nFinal Answer: 430.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 14, 50, 68, 12, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 77 - 12 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 28 * 49 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×49=1372, then 17+1372-23=1366.\n</reasoning>\nFinal Answer: 1366"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 9 apples and buys 134 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 9 + 134 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:39 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/39, so B = A × (39/48) = 100 × 39/48 = 81.25.\n</reasoning>\nFinal Answer: 81.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 16 = 76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 30x = 60. Divide by 30: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 8 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 19x = 38. Divide by 19: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 * 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/13) × (15/16) = (255/208) = 255/208 after simplification.\n</reasoning>\nFinal Answer: 255/208"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 27 = -261"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 6x = -288. Divide by 6: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "305 is what percentage of 546?"
},
{
"role": "assistant",
"content": "<reasoning>\n(305/546) × 100 = 55.8608%.\n</reasoning>\nFinal Answer: 55.8608%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 573 × -702"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 573 by -702: 573 × -702 = -402246.\n</reasoning>\nFinal Answer: -402246"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 70 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 70 × (1 + 3/100) = 70 × 1.03 = 72.1.\n</reasoning>\nFinal Answer: 72.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:33 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/33, so B = A × (33/6) = 10 × 33/6 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 8/7 * 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/7) × (6/3) = (48/21) = 16/7 after simplification.\n</reasoning>\nFinal Answer: 16/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -31 = -354"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 17x = -323. Divide by 17: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 7% of 883?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 883 = (7/100) × 883 = 61.81.\n</reasoning>\nFinal Answer: 61.81"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 21 = 1155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 27x = 1134. Divide by 27: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [62, 23, 4, 91, 98, 35, 71, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 413/8 = 51.625.\n</reasoning>\nFinal Answer: 51.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 50 = 650.0.\n</reasoning>\nFinal Answer: 650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 37 = 427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 10x = 390. Divide by 10: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 276 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 276 × (1 + 100/100) = 276 × 2.0 = 552.0.\n</reasoning>\nFinal Answer: 552.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:10 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/10, so B = A × (10/23) = 45 × 10/23 = 19.5652.\n</reasoning>\nFinal Answer: 19.5652"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 579 + -613"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 579 and -613: 579 + -613 = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 9, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (16-1)×9 = 14 + 135 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 * 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (8/8) = (104/32) = 13/4 after simplification.\n</reasoning>\nFinal Answer: 13/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 - 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/14 - 16/15. LCD = 210. Result = -149/210.\n</reasoning>\nFinal Answer: -149/210"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -38 = -383"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 23x = -345. Divide by 23: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [24, 66, 16, 31, 38, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 66 - 16 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 49, 92, 59, 24, 39, 92, 76, 15, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 609/10 = 60.9.\n</reasoning>\nFinal Answer: 60.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 48 = 1056"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 24x = 1008. Divide by 24: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 6 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 55/60 = 6.9167 hours. Distance = speed × time = 66 × 6.9167 = 456.5 km.\n</reasoning>\nFinal Answer: 456.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -30 = -840"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 18x = -810. Divide by 18: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -672 ÷ -679"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -672 by -679. -672 ÷ -679 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 41, 72, 24, 23, 60, 77, 48, 7, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 16, 23, 24, 41, 48, 60, 72, 77, 88]. Middle value(s) → median = 44.5.\n</reasoning>\nFinal Answer: 44.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 236 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 236 × (1 + 25/100) = 236 × 1.25 = 295.0.\n</reasoning>\nFinal Answer: 295.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 72 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 72 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 718 km apart. Their speeds are 105 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+90=195 km/h. Time = 718/195 = 3.6821 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 972 × -388"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 972 by -388: 972 × -388 = -377136.\n</reasoning>\nFinal Answer: -377136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 457 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 457 × (1 - 40/100) = 457 × 0.6 = 274.2.\n</reasoning>\nFinal Answer: 274.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 331 mod -672"
},
{
"role": "assistant",
"content": "<reasoning>\n331 mod -672: 331 = -672 × -1 + -341, so remainder = -341.\n</reasoning>\nFinal Answer: -341"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 433 - 643"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 643 from 433: 433 - 643 = -210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 43, 33, 32, 79, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 16 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 213 mod -923"
},
{
"role": "assistant",
"content": "<reasoning>\n213 mod -923: 213 = -923 × -1 + -710, so remainder = -710.\n</reasoning>\nFinal Answer: -710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 9 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 49 + 39 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×49=2156 and 39×27=1053, then add: 3209.\n</reasoning>\nFinal Answer: 3209"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 42, 72, 31, 62, 26, 89, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 3 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -12 = -403"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 23x = -391. Divide by 23: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 9, 12, 19] and B = [1, 8, 10, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 19].\n</reasoning>\nFinal Answer: [8, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 5, 6, 7, 14, 15] and B = [1, 3, 10, 11, 15, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 5, 6, 7, 10, 11, 14, 15, 16].\n</reasoning>\nFinal Answer: [1, 3, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -205 × -294"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -205 by -294: -205 × -294 = 60270.\n</reasoning>\nFinal Answer: 60270"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 7, 8, 13, 14, 19] and B = [12, 15, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [19].\n</reasoning>\nFinal Answer: [19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (24)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×4×20 = 256. √discriminant = 16. x = (-(24) ± 16) / (2×4). Solutions: x = -5 or x = -1.\n</reasoning>\nFinal Answer: x = -5 or x = -1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 8 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 8 × 76 = 608.\n</reasoning>\nFinal Answer: 608"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (45)x + (150) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 45² - 4×3×150 = 225. √discriminant = 15. x = (-(45) ± 15) / (2×3). Solutions: x = -10 or x = -5.\n</reasoning>\nFinal Answer: x = -10 or x = -5... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (25)x + (-180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 25² - 4×5×-180 = 4225. √discriminant = 65. x = (-(25) ± 65) / (2×5). Solutions: x = -9 or x = 4.\n</reasoning>\nFinal Answer: x = -9 or x = 4"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 785 ÷ 296"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 785 by 296. 785 ÷ 296 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:26 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/26, so B = A × (26/5) = 22 × 26/5 = 114.4.\n</reasoning>\nFinal Answer: 114.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 17 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 9+289-49=249.\n</reasoning>\nFinal Answer: 249"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -44 = 28"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 2x = 72. Divide by 2: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 44 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+44) × 2 = 45.0.\n</reasoning>\nFinal Answer: 45.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 2) * (29 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+2)=7, (29-37)=-8, then 7×-8=-56.\n</reasoning>\nFinal Answer: -56"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:7 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/7, so B = A × (7/50) = 20 × 7/50 = 2.8.\n</reasoning>\nFinal Answer: 2.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:49 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/49, so B = A × (49/42) = 10 × 49/42 = 11.6667.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 70, 93, 67, 76, 30, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [29, 30, 49, 67, 70, 76, 93]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 40, 51, 38, 84, 85, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 38 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"range"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.