messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 27, 32, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 27 + 32 + 35 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:44 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/44, so B = A × (44/19) = 7 × 44/19 = 16.2105.\n</reasoning>\nFinal Answer: 16.2105"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 19 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 19 = 304 worker-days. New time = 304 / 11 = 27.6364 days.\n</reasoning>\nFinal Answer: 27.6364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:20 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/20, so B = A × (20/11) = 48 × 20/11 = 87.2727.\n</reasoning>\nFinal Answer: 87.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 80% of 679?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 679 = (80/100) × 679 = 543.2.\n</reasoning>\nFinal Answer: 543.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 43 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(43,43) = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -386 × 965"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -386 by 965: -386 × 965 = -372490.\n</reasoning>\nFinal Answer: -372490"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -513 ÷ -223"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -513 by -223. -513 ÷ -223 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -49 = 343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 14x = 392. Divide by 14: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 3 * 14 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×14=42, then 50+42-28=64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 193 km/h. How far does it travel in 1 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 52/60 = 1.8667 hours. Distance = speed × time = 193 × 1.8667 = 360.2667 km.\n</reasoning>\nFinal Answer: 360.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 20) * (27 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+20)=49, (27-34)=-7, then 49×-7=-343.\n</reasoning>\nFinal Answer: -343"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 153 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 153 × 1.8333 = 280.5 km.\n</reasoning>\nFinal Answer: 280.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 27) * (48 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+27)=59, (48-29)=19, then 59×19=1121.\n</reasoning>\nFinal Answer: 1121"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 5 + 34 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×5=55 and 34×1=34, then add: 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 11, 31, 31, 22, 34, 83, 73, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 11 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 68, 63, 24, 37, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 68: 1, 63: 1, 24: 1, 37: 1, 5: 1}. Most frequent: [91, 68, 63, 24, 37, 5].\n</reasoning>\nFinal Answer: [91, 68, 63, 24, 37, 5]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 660 km apart. Their speeds are 65 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+45=110 km/h. Time = 660/110 = 6.0 hours.\n</reasoning>\nFinal Answer: 6... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 17, 29, 70, 64, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 17: 1, 29: 1, 70: 1, 64: 1, 10: 1}. Most frequent: [7, 17, 29, 70, 64, 10].\n</reasoning>\nFinal Answer: [7, 17, 29, 70, 64, 10]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 52, 45, 54, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 52: 1, 45: 1, 54: 1, 90: 1}. Most frequent: [50, 52, 45, 54, 90].\n</reasoning>\nFinal Answer: [50, 52, 45, 54, 90]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/14 - 20/7. LCD = 7. Result = -12/7.\n</reasoning>\nFinal Answer: -12/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 * 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/6) × (18/9) = (270/54) = 5 after simplification.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 156 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(156,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 / 20/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/10) ÷ (20/6) = (13/10) × (6/20) = 39/100.\n</reasoning>\nFinal Answer: 39/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 45 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 45 × 62 = 1395.0.\n</reasoning>\nFinal Answer: 1395.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45769 at 14% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45769 × 14 × 7 / 100 = 44853.62.\n</reasoning>\nFinal Answer: 44853.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -497 + 473"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -497 and 473: -497 + 473 = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [17, 41, 71, 49, 33, 39, 82, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 25, 33, 39, 41, 49, 71, 82]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 395 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 395 × (1 - 45/100) = 395 × 0.55 = 217.25.\n</reasoning>\nFinal Answer: 217.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -328 × -18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -328 by -18: -328 × -18 = 5904.\n</reasoning>\nFinal Answer: 5904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 * 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/5) × (10/16) = (40/80) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 8, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (35-1)×8 = 37 + 272 = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -161 - 709"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 709 from -161: -161 - 709 = -870.\n</reasoning>\nFinal Answer: -870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 47 * 41 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×41=1927, then 8+1927-18=1917.\n</reasoning>\nFinal Answer: 1917"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 26 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 26 = 104 worker-days. New time = 104 / 8 = 13.0 days.\n</reasoning>\nFinal Answer: 13.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 12 + 38 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×12=120 and 38×10=380, then add: 500.\n</reasoning>\nFinal Answer: 500"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹917. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 917 × 18/100 = 165.06. Total = 917 + 165.06 = 1082.06.\n</reasoning>\nFinal Answer: 1082.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 27, and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 27 + 29 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Ravi has 25 apples and buys 70 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 25 + 70 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [10, 11, 14, 15, 16, 17] and B = [4, 6, 10, 12, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 6, 11, 12, 14, 15, 16, 17, 19].\n</reasoning>\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 213 mod -68"
},
{
"role": "assistant",
"content": "<reasoning>\n213 mod -68: 213 = -68 × -4 + -59, so remainder = -59.\n</reasoning>\nFinal Answer: -59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 10) * (14 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+10)=52, (14-3)=11, then 52×11=572.\n</reasoning>\nFinal Answer: 572"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "140 is what percentage of 210?"
},
{
"role": "assistant",
"content": "<reasoning>\n(140/210) × 100 = 66.6667%.\n</reasoning>\nFinal Answer: 66.6667%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -702 mod 428"
},
{
"role": "assistant",
"content": "<reasoning>\n-702 mod 428: -702 = 428 × -2 + 154, so remainder = 154.\n</reasoning>\nFinal Answer: 154"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -868 × -441"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -868 by -441: -868 × -441 = 382788.\n</reasoning>\nFinal Answer: 382788"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [39, 42, 45, 48, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 39 and common difference 3. Next term = 51 + 3 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:46 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/46, so B = A × (46/12) = 76 × 46/12 = 291.3333.\n</reasoning>\nFinal Answer: 291.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -126 mod 160"
},
{
"role": "assistant",
"content": "<reasoning>\n-126 mod 160: -126 = 160 × -1 + 34, so remainder = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 68 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 68 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 2 * 39 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×39=78, then 31+78-1=108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 47 = -277"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 27x = -324. Divide by 27: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -39 = -169"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 26x = -130. Divide by 26: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 156 mod 876"
},
{
"role": "assistant",
"content": "<reasoning>\n156 mod 876: 156 = 876 × 0 + 156, so remainder = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 89 - -531"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -531 from 89: 89 - -531 = 620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -10 - -215"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -215 from -10: -10 - -215 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 869 × -608"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 869 by -608: 869 × -608 = -528352.\n</reasoning>\nFinal Answer: -528352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 282 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 282 × (1 - 7/100) = 282 × 0.9299999999999999 = 262.26.\n</reasoning>\nFinal Answer: 262.26"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 + 19/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/19 + 19/9. Common denominator = 171. Result = 514/171.\n</reasoning>\nFinal Answer: 514/171"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -718 mod 19"
},
{
"role": "assistant",
"content": "<reasoning>\n-718 mod 19: -718 = 19 × -38 + 4, so remainder = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 99, 78, 11, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 11 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 1 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 38/60 = 1.6333 hours. Distance = speed × time = 164 × 1.6333 = 267.8667 km.\n</reasoning>\nFinal Answer: 267.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 608 ÷ 29"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 608 by 29. 608 ÷ 29 = 20 (integer division).\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -941 ÷ 741"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -941 by 741. -941 ÷ 741 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [16, 20, 24, 28, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 16 and common difference 4. Next term = 32 + 4 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39773 at 8% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39773 × 8 × 10 / 100 = 31818.4.\n</reasoning>\nFinal Answer: 31818.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 13 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 13 = 247 worker-days. New time = 247 / 7 = 35.2857 days.\n</reasoning>\nFinal Answer: 35.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -39 = -109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 2x = -70. Divide by 2: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 8, 10, 11, 14, 18] and B = [6, 8, 9, 12, 16, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 7, 10, 11, 14].\n</reasoning>\nFinal Answer: [1, 7, 10, 11,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 316 km apart. Their speeds are 60 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+44=104 km/h. Time = 316/104 = 3.0385 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 29 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(29,84) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 702 + -527"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 702 and -527: 702 + -527 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:33 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/33, so B = A × (33/10) = 79 × 33/10 = 260.7.\n</reasoning>\nFinal Answer: 260.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 11 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 11 = 187 worker-days. New time = 187 / 3 = 62.3333 days.\n</reasoning>\nFinal Answer: 62.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 753 km apart. Their speeds are 79 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+109=188 km/h. Time = 753/188 = 4.0053 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 25 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 26+625-4=647.\n</reasoning>\nFinal Answer: 647"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 485 ÷ 757"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 485 by 757. 485 ÷ 757 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -275 × -455"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -275 by -455: -275 × -455 = 125125.\n</reasoning>\nFinal Answer: 125125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 656 km apart. Their speeds are 73 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 73+53=126 km/h. Time = 656/126 = 5.2063 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 * 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/17) × (1/18) = (9/306) = 1/34 after simplification.\n</reasoning>\nFinal Answer: 1/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 89."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 89 = 356.\n</reasoning>\nFinal Answer: 356"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 9 = -849"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 26x = -858. Divide by 26: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 - 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/10 - 10/17. LCD = 170. Result = -83/170.\n</reasoning>\nFinal Answer: -83/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 1 + 22 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×1=42 and 22×3=66, then add: 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:13 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/13, so B = A × (13/26) = 94 × 13/26 = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "224 is what percentage of 381?"
},
{
"role": "assistant",
"content": "<reasoning>\n(224/381) × 100 = 58.7927%.\n</reasoning>\nFinal Answer: 58.7927%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:27 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/27, so B = A × (27/31) = 15 × 27/31 = 13.0645.\n</reasoning>\nFinal Answer: 13.0645"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/11 / 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/11) ÷ (5/5) = (19/11) × (5/5) = 19/11.\n</reasoning>\nFinal Answer: 19/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 91 = 4186.\n</reasoning>\nFinal Answer: 4186"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 * 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/6) × (8/4) = (8/24) = 1/3 after simplification.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20335 at 9% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20335 × 9 × 8 / 100 = 14641.2.\n</reasoning>\nFinal Answer: 14641.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 574 × -701"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 574 by -701: 574 × -701 = -402374.\n</reasoning>\nFinal Answer: -402374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 27, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 27 + 38 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 695 mod -771"
},
{
"role": "assistant",
"content": "<reasoning>\n695 mod -771: 695 = -771 × -1 + -76, so remainder = -76.\n</reasoning>\nFinal Answer: -76"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 66, 59, 51, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 51 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -355 - 131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 131 from -355: -355 - 131 = -486.\n</reasoning>\nFinal Answer: -486"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 / 10/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/6) ÷ (10/11) = (3/6) × (11/10) = 11/20.\n</reasoning>\nFinal Answer: 11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 11 * 26 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×26=286, then 17+286-46=257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -882 ÷ -992"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -882 by -992. -882 ÷ -992 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 11, 13, 14, 15, 18] and B = [2, 3, 4, 7, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 7, 11, 13, 14, 15, 16, 18].\n</reasoning>\nFinal Answer: [1, 2, 3, 4... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 12 = 376"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 28x = 364. Divide by 28: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
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