messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -506 × -354"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -506 by -354: -506 × -354 = 179124.\n</reasoning>\nFinal Answer: 179124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "370 is what percentage of 681?"
},
{
"role": "assistant",
"content": "<reasoning>\n(370/681) × 100 = 54.3319%.\n</reasoning>\nFinal Answer: 54.3319%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -12 = -192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 15x = -180. Divide by 15: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 47 * 40 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 47×40=1880, then 46+1880-32=1894.\n</reasoning>\nFinal Answer: 1894"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 115 apples and buys 92 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 115 + 92 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 8 mod -320"
},
{
"role": "assistant",
"content": "<reasoning>\n8 mod -320: 8 = -320 × -1 + -312, so remainder = -312.\n</reasoning>\nFinal Answer: -312"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 643 km apart. Their speeds are 80 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+92=172 km/h. Time = 643/172 = 3.7384 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 32 = -20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 2x = -52. Divide by 2: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 820 km apart. Their speeds are 63 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 63+94=157 km/h. Time = 820/157 = 5.2229 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 24 = 564"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 20x = 540. Divide by 20: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/2 - 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/2 - 20/2. LCD = 1. Result = -9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 90, 27, 35, 62, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 27 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 32) * (25 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+32)=56, (25-17)=8, then 56×8=448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 6 red and 10 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 10/16 = 0.625.\n</reasoning>\nFinal Answer: 0.625"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 11, 2, 68, 49, 75, 70, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 2 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 123 and 125."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(123,125) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 79 apples and buys 77 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 79 + 77 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 95 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(95+96) = 2×191 = 382.\n</reasoning>\nFinal Answer: 382"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 867 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 867 × (1 - 35/100) = 867 × 0.65 = 563.55.\n</reasoning>\nFinal Answer: 563.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 27 * 26 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×26=702, then 30+702-25=707.\n</reasoning>\nFinal Answer: 707"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 461 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 461 × (1 + 12/100) = 461 × 1.12 = 516.32.\n</reasoning>\nFinal Answer: 516.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 43 = 4214.\n</reasoning>\nFinal Answer: 4214"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -632 × 137"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -632 by 137: -632 × 137 = -86584.\n</reasoning>\nFinal Answer: -86584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 103 and 97."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(103,97) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 1 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+1) × 14 = 231.0.\n</reasoning>\nFinal Answer: 231.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 761 mod 28"
},
{
"role": "assistant",
"content": "<reasoning>\n761 mod 28: 761 = 28 × 27 + 5, so remainder = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 134 km/h. How far does it travel in 6 hours and 10 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 10/60 = 6.1667 hours. Distance = speed × time = 134 × 6.1667 = 826.3333 km.\n</reasoning>\nFinal Answer: 826.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 / 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/14) ÷ (9/15) = (7/14) × (15/9) = 5/6.\n</reasoning>\nFinal Answer: 5/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 526 × -211"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 526 by -211: 526 × -211 = -110986.\n</reasoning>\nFinal Answer: -110986"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 9 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+9) × 34 = 340.0.\n</reasoning>\nFinal Answer: 340.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 - 16/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/18 - 16/3. LCD = 3. Result = -13/3.\n</reasoning>\nFinal Answer: -13/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 902 ÷ -93"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 902 by -93. 902 ÷ -93 = -10 (integer division).\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "207 is what percentage of 258?"
},
{
"role": "assistant",
"content": "<reasoning>\n(207/258) × 100 = 80.2326%.\n</reasoning>\nFinal Answer: 80.2326%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [32, 52, 72, 92, 112]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 32 and common difference 20. Next term = 112 + 20 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:25 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/25, so B = A × (25/10) = 28 × 25/10 = 70.0.\n</reasoning>\nFinal Answer: 70.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 219 mod -842"
},
{
"role": "assistant",
"content": "<reasoning>\n219 mod -842: 219 = -842 × -1 + -623, so remainder = -623.\n</reasoning>\nFinal Answer: -623"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 60, 14, 85, 36, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 311/6 = 51.8333.\n</reasoning>\nFinal Answer: 51.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 20, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (22-1)×20 = 43 + 420 = 463.\n</reasoning>\nFinal Answer: 463"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 10/13 + 3/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/13 + 3/11. Common denominator = 143. Result = 149/143.\n</reasoning>\nFinal Answer: 149/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 * 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/11) × (18/17) = (234/187) = 234/187 after simplification.\n</reasoning>\nFinal Answer: 234/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 / 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/9) ÷ (18/15) = (10/9) × (15/18) = 25/27.\n</reasoning>\nFinal Answer: 25/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 298 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 298 × (1 + 50/100) = 298 × 1.5 = 447.0.\n</reasoning>\nFinal Answer: 447.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 44) * (26 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+44)=82, (26-11)=15, then 82×15=1230.\n</reasoning>\nFinal Answer: 1230"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 109."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 109 by smallest primes repeatedly: 109 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 / 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/16) ÷ (8/14) = (2/16) × (14/8) = 7/32.\n</reasoning>\nFinal Answer: 7/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 610 km apart. Their speeds are 114 km/h and 42 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+42=156 km/h. Time = 610/156 = 3.9103 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 35, 93, 56, 14, 30, 91, 87, 25, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 490/10 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 147 apples and buys 64 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 147 + 64 = 211.\n</reasoning>\nFinal Answer: 211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 138 apples and buys 60 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 138 + 60 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/3 * 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/3) × (5/6) = (75/18) = 25/6 after simplification.\n</reasoning>\nFinal Answer: 25/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 11 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 38/60 = 11.6333 hours. Distance = speed × time = 164 × 11.6333 = 1907.8667 km.\n</reasoning>\nFinal Answer: 1907.8667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -524 - -546"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -546 from -524: -524 - -546 = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -479 - -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -257 from -479: -479 - -257 = -222.\n</reasoning>\nFinal Answer: -222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 37 * 39 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×39=1443, then 38+1443-9=1472.\n</reasoning>\nFinal Answer: 1472"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 77 = 3003.0.\n</reasoning>\nFinal Answer: 3003.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 54 = 1809.0.\n</reasoning>\nFinal Answer: 1809.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -707 mod 330"
},
{
"role": "assistant",
"content": "<reasoning>\n-707 mod 330: -707 = 330 × -3 + 283, so remainder = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -13 = 97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 5x = 110. Divide by 5: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 4 red and 4 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 4/8 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 42) * (29 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+42)=52, (29-33)=-4, then 52×-4=-208.\n</reasoning>\nFinal Answer: -208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 23, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 23 + 27 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "121 is what percentage of 286?"
},
{
"role": "assistant",
"content": "<reasoning>\n(121/286) × 100 = 42.3077%.\n</reasoning>\nFinal Answer: 42.3077%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 50, 60, 70, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 10. Next term = 80 + 10 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 96, 75, 75, 67, 23, 67, 1, 66, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 10, 23, 66, 67, 67, 75, 75, 77, 96]. Middle value(s) → median = 67.0.\n</reasoning>\nFinal Answer: 67.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 32 = -1218"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 25x = -1250. Divide by 25: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 44 = -606"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 25x = -650. Divide by 25: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-39)x + (120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -39² - 4×3×120 = 81. √discriminant = 9. x = (-(-39) ± 9) / (2×3). Solutions: x = 8 or x = 5.\n</reasoning>\nFinal Answer: x = 8 or x = 5"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 35 = 143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 3x = 108. Divide by 3: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 23 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 23 = 391 worker-days. New time = 391 / 11 = 35.5455 days.\n</reasoning>\nFinal Answer: 35.5455"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 29 = -697"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 29 from both sides: 22x = -726. Divide by 22: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -696 × 809"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -696 by 809: -696 × 809 = -563064.\n</reasoning>\nFinal Answer: -563064"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 20, and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 20 + 24 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹1971. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1971 × 12/100 = 236.52. Total = 1971 + 236.52 = 2207.52.\n</reasoning>\nFinal Answer: 2207.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 41 = 225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 23x = 184. Divide by 23: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 * 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/9) × (19/14) = (342/126) = 19/7 after simplification.\n</reasoning>\nFinal Answer: 19/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22124 at 12% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22124 × 12 × 10 / 100 = 26548.8.\n</reasoning>\nFinal Answer: 26548.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 39 + 47 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×39=1872 and 47×10=470, then add: 2342.\n</reasoning>\nFinal Answer: 2342"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹582. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 582 × 18/100 = 104.76. Total = 582 + 104.76 = 686.76.\n</reasoning>\nFinal Answer: 686.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -4 = 1106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 30x = 1110. Divide by 30: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 39) * (10 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+39)=46, (10-33)=-23, then 46×-23=-1058.\n</reasoning>\nFinal Answer: -1058"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/20 - 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/20 - 16/16. LCD = 20. Result = -11/20.\n</reasoning>\nFinal Answer: -11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 - 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/3 - 5/1. LCD = 3. Result = -4/3.\n</reasoning>\nFinal Answer: -4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [98, 96, 89, 44, 9, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 9 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 28 = 25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 1x = -3. Divide by 1: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -209 ÷ 404"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -209 by 404. -209 ÷ 404 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 855 × 395"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 855 by 395: 855 × 395 = 337725.\n</reasoning>\nFinal Answer: 337725"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 296 mod -446"
},
{
"role": "assistant",
"content": "<reasoning>\n296 mod -446: 296 = -446 × -1 + -150, so remainder = -150.\n</reasoning>\nFinal Answer: -150"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:18 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/18, so B = A × (18/32) = 60 × 18/32 = 33.75.\n</reasoning>\nFinal Answer: 33.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -45 = -708"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 17x = -663. Divide by 17: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -638 - 351"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 351 from -638: -638 - 351 = -989.\n</reasoning>\nFinal Answer: -989"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 248."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 248 by smallest primes repeatedly: 248 = 2 × 2 × 2 × 31.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 31"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 21 + 10 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×21=273 and 10×14=140, then add: 413.\n</reasoning>\nFinal Answer: 413"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "413 is what percentage of 503?"
},
{
"role": "assistant",
"content": "<reasoning>\n(413/503) × 100 = 82.1074%.\n</reasoning>\nFinal Answer: 82.1074%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 + 8/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/6 + 8/10. Common denominator = 30. Result = 49/30.\n</reasoning>\nFinal Answer: 49/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 22 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 31+484-11=504.\n</reasoning>\nFinal Answer: 504"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 17, 19] and B = [9, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 19].\n</reasoning>\nFinal Answer: [9, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 8 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+8) × 3 = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 331 + -191"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 331 and -191: 331 + -191 = 140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 7 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 39/60 = 7.6500 hours. Distance = speed × time = 100 × 7.6500 = 765.0 km.\n</reasoning>\nFinal Answer: 765.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×49)/1 = 294.\n</reasoning>\nFinal Answer: 294"
}
] | medium | [
"number_theory",
"lcm"
] |
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