messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 306 - 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 248 from 306: 306 - 248 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 65% of 197?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 197 = (65/100) × 197 = 128.05.\n</reasoning>\nFinal Answer: 128.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -775 × -933"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -775 by -933: -775 × -933 = 723075.\n</reasoning>\nFinal Answer: 723075"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -572 + 400"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -572 and 400: -572 + 400 = -172.\n</reasoning>\nFinal Answer: -172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -247 × -392"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -247 by -392: -247 × -392 = 96824.\n</reasoning>\nFinal Answer: 96824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 45) * (38 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+45)=72, (38-50)=-12, then 72×-12=-864.\n</reasoning>\nFinal Answer: -864"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 68, 52, 23, 19, 70, 50, 76, 33, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 23, 24, 33, 46, 50, 52, 68, 70, 76]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 10 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 40+100-32=108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -325 - 399"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 399 from -325: -325 - 399 = -724.\n</reasoning>\nFinal Answer: -724"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 14 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 14 × (1 - 65/100) = 14 × 0.35 = 4.9.\n</reasoning>\nFinal Answer: 4.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 95, 43, 28, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 270/5 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹1324. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1324 × 18/100 = 238.32. Total = 1324 + 238.32 = 1562.32.\n</reasoning>\nFinal Answer: 1562.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 45, 64, 83, 102]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 19. Next term = 102 + 19 = 121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:5 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/5, so B = A × (5/43) = 37 × 5/43 = 4.3023.\n</reasoning>\nFinal Answer: 4.3023"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 400 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 400 × (1 + 75/100) = 400 × 1.75 = 700.0.\n</reasoning>\nFinal Answer: 700.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 124 apples and buys 35 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 124 + 35 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 46 * 23 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×23=1058, then 2+1058-5=1055.\n</reasoning>\nFinal Answer: 1055"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 5 = 590"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 15x = 585. Divide by 15: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/20 * 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/20) × (9/4) = (153/80) = 153/80 after simplification.\n</reasoning>\nFinal Answer: 153/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 36 = -364"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 20x = -400. Divide by 20: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:20 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/20, so B = A × (20/10) = 51 × 20/10 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 13, 32, 95, 62, 89, 85, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 13 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 370 - -407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -407 from 370: 370 - -407 = 777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 488 ÷ 356"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 488 by 356. 488 ÷ 356 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 427 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 427 × (1 - 25/100) = 427 × 0.75 = 320.25.\n</reasoning>\nFinal Answer: 320.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 526 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 526 × (1 - 50/100) = 526 × 0.5 = 263.0.\n</reasoning>\nFinal Answer: 263.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 31 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+31) × 17 = 578.0.\n</reasoning>\nFinal Answer: 578.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 878 ÷ -282"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 878 by -282. 878 ÷ -282 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 * 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/15) × (2/1) = (26/15) = 26/15 after simplification.\n</reasoning>\nFinal Answer: 26/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 1 * 49 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×49=49, then 12+49-2=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [14, 15, 18, 19] and B = [1, 11, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 11, 14, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 11, 14, 15, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 45 + 9 * 37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×45=1935 and 9×37=333, then add: 2268.\n</reasoning>\nFinal Answer: 2268"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 402 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 402 × (1 - 5/100) = 402 × 0.95 = 381.9.\n</reasoning>\nFinal Answer: 381.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 31) * (42 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+31)=42, (42-35)=7, then 42×7=294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 20) * (6 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+20)=63, (6-39)=-33, then 63×-33=-2079.\n</reasoning>\nFinal Answer: -2079"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 83, 29, 12, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 83: 1, 29: 1, 12: 1, 43: 1}. Most frequent: [47, 83, 29, 12, 43].\n</reasoning>\nFinal Answer: [47, 83, 29, 12, 43]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [95, 80, 6, 65, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 65, 80, 87, 95]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 56 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 56 × 54 = 3024.\n</reasoning>\nFinal Answer: 3024"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 13, 19] and B = [2, 4, 6, 7, 10, 11, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 7, 10, 11, 13, 14, 16, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 39 = -633"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 21x = -672. Divide by 21: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 36 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(36+72) = 2×108 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -763 - 243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 243 from -763: -763 - 243 = -1006.\n</reasoning>\nFinal Answer: -1006"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 12 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 23/60 = 12.3833 hours. Distance = speed × time = 199 × 12.3833 = 2464.2833 km.\n</reasoning>\nFinal Answer: 2464.2833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18976 at 1% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18976 × 1 × 5 / 100 = 948.8.\n</reasoning>\nFinal Answer: 948.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 22 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 22 = 198 worker-days. New time = 198 / 3 = 66.0 days.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×34)/2 = 782.\n</reasoning>\nFinal Answer: 782"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 47 = -447"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 19x = -494. Divide by 19: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -16 = 192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 13x = 208. Divide by 13: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:26 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/26, so B = A × (26/21) = 37 × 26/21 = 45.8095.\n</reasoning>\nFinal Answer: 45.8095"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹335. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 335 × 18/100 = 60.3. Total = 335 + 60.3 = 395.3.\n</reasoning>\nFinal Answer: 395.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 41 * 9 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×9=369, then 49+369-19=399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 28 + 28 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×28=1316 and 28×28=784, then add: 2100.\n</reasoning>\nFinal Answer: 2100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 27 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 31+729-19=741.\n</reasoning>\nFinal Answer: 741"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 3 = 509"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 11x = 506. Divide by 11: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "278 is what percentage of 646?"
},
{
"role": "assistant",
"content": "<reasoning>\n(278/646) × 100 = 43.0341%.\n</reasoning>\nFinal Answer: 43.0341%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 7, 23, 70, 96, 11, 68, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 7: 1, 23: 1, 70: 1, 96: 1, 11: 1, 68: 1, 98: 1}. Most frequent: [81, 7, 23, 70, 96, 11, 68, 98].\n</reasoning>\nFinal Answer: [81, 7, 23,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 9 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 9 = 153 worker-days. New time = 153 / 2 = 76.5 days.\n</reasoning>\nFinal Answer: 76.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -34 = -554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 13x = -520. Divide by 13: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 36 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+36) × 19 = 617.5.\n</reasoning>\nFinal Answer: 617.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 25 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+25) × 26 = 598.0.\n</reasoning>\nFinal Answer: 598.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 38, 42, 94, 9, 23, 77, 32, 5, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 5 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 47, 59, 75, 73, 51, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 350/7 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 76 km/h. How far does it travel in 7 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 26/60 = 7.4333 hours. Distance = speed × time = 76 × 7.4333 = 564.9333 km.\n</reasoning>\nFinal Answer: 564.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 - 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/2 - 8/12. LCD = 6. Result = 11/6.\n</reasoning>\nFinal Answer: 11/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 4) * (41 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+4)=35, (41-41)=0, then 35×0=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 18, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (30-1)×18 = 20 + 522 = 542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 8 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+8) × 36 = 504.0.\n</reasoning>\nFinal Answer: 504.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 108 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(108,6) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 11 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 59/60 = 11.9833 hours. Distance = speed × time = 172 × 11.9833 = 2061.1333 km.\n</reasoning>\nFinal Answer: 2061.1333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 * 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/6) × (15/19) = (300/114) = 50/19 after simplification.\n</reasoning>\nFinal Answer: 50/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4824 at 15% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4824 × 15 × 8 / 100 = 5788.8.\n</reasoning>\nFinal Answer: 5788.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [40, 57, 77, 78, 7, 19, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 19, 40, 57, 77, 78, 88]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -19 = -103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 21x = -84. Divide by 21: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 10, 11, 13, 18] and B = [7, 9, 12, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 7, 9, 10, 11, 12, 13, 18].\n</reasoning>\nFinal Answer: [1, 5, 7, 9, 10, 11, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 38 = 937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 29x = 899. Divide by 29: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 25 * 1 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×1=25, then 4+25-1=28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 47 = 527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 24x = 480. Divide by 24: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 55 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 55 × 52 = 2860.\n</reasoning>\nFinal Answer: 2860"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 82 and 131."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(82,131) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "12 is what percentage of 20?"
},
{
"role": "assistant",
"content": "<reasoning>\n(12/20) × 100 = 60.0%.\n</reasoning>\nFinal Answer: 60.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 568 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 568 × (1 + 80/100) = 568 × 1.8 = 1022.4.\n</reasoning>\nFinal Answer: 1022.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 2 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+2) × 16 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9245 at 7% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9245 × 7 × 1 / 100 = 647.15.\n</reasoning>\nFinal Answer: 647.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -209 + 855"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -209 and 855: -209 + 855 = 646.\n</reasoning>\nFinal Answer: 646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 39 = -13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 26x = -52. Divide by 26: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 17 = 892"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 25x = 875. Divide by 25: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "List all positive factors of 54."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 54: factors are [1, 2, 3, 6, 9, 18, 27, 54].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 9, 18, 27, 54]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 15 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+15) × 21 = 367.5.\n</reasoning>\nFinal Answer: 367.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -246 - 250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 250 from -246: -246 - 250 = -496.\n</reasoning>\nFinal Answer: -496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 139 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 139 + 152 = 291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 325 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 325 × (1 - 10/100) = 325 × 0.9 = 292.5.\n</reasoning>\nFinal Answer: 292.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 - 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/12 - 8/19. LCD = 76. Result = 63/76.\n</reasoning>\nFinal Answer: 63/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 30 = 697"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 23x = 667. Divide by 23: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 35 = 275"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 5x = 240. Divide by 5: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 18, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 18 + 22 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 35 + 11 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×35=630 and 11×16=176, then add: 806.\n</reasoning>\nFinal Answer: 806"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 871 + 414"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 871 and 414: 871 + 414 = 1285.\n</reasoning>\nFinal Answer: 1285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 10 = -398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 17x = -408. Divide by 17: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+92) = 2×173 = 346.\n</reasoning>\nFinal Answer: 346"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 35 = 310"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 25x = 275. Divide by 25: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
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