messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 710 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 710 × (1 - 50/100) = 710 × 0.5 = 355.0.\n</reasoning>\nFinal Answer: 355.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 10 hours and 27 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 27/60 = 10.4500 hours. Distance = speed × time = 164 × 10.4500 = 1713.8 km.\n</reasoning>\nFinal Answer: 1713.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 / 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/18) ÷ (1/7) = (15/18) × (7/1) = 35/6.\n</reasoning>\nFinal Answer: 35/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 40 = -994"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 22x = -1034. Divide by 22: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "295 is what percentage of 773?"
},
{
"role": "assistant",
"content": "<reasoning>\n(295/773) × 100 = 38.163%.\n</reasoning>\nFinal Answer: 38.163%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 91 and 178."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(91,178) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 90 km/h. How far does it travel in 8 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 56/60 = 8.9333 hours. Distance = speed × time = 90 × 8.9333 = 804.0 km.\n</reasoning>\nFinal Answer: 804.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -264 × -925"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -264 by -925: -264 × -925 = 244200.\n</reasoning>\nFinal Answer: 244200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 736 × -493"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 736 by -493: 736 × -493 = -362848.\n</reasoning>\nFinal Answer: -362848"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×29)/1 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:34 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/34, so B = A × (34/5) = 15 × 34/5 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 45 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 10x = 40. Divide by 10: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 29 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 29 = 580 worker-days. New time = 580 / 11 = 52.7273 days.\n</reasoning>\nFinal Answer: 52.7273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 12, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (17-1)×12 = 26 + 192 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "141 is what percentage of 146?"
},
{
"role": "assistant",
"content": "<reasoning>\n(141/146) × 100 = 96.5753%.\n</reasoning>\nFinal Answer: 96.5753%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 419 ÷ -534"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 419 by -534. 419 ÷ -534 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 50 = 86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 2x = 36. Divide by 2: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 2 = -460"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 21x = -462. Divide by 21: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 5 = 395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 30x = 390. Divide by 30: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 4, 86, 5, 100, 77, 84, 27, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 4: 1, 86: 1, 5: 1, 100: 1, 77: 1, 84: 1, 27: 1, 23: 1}. Most frequent: [21, 4, 86, 5, 100, 77, 84, 27, 23].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:38 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/38, so B = A × (38/34) = 68 × 38/34 = 76.0.\n</reasoning>\nFinal Answer: 76.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -182 + -528"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -182 and -528: -182 + -528 = -710.\n</reasoning>\nFinal Answer: -710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:44 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/44, so B = A × (44/21) = 85 × 44/21 = 178.0952.\n</reasoning>\nFinal Answer: 178.0952"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 * 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/15) × (6/4) = (30/60) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 12, 15] and B = [7, 9, 11, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 7, 9, 11, 12, 14, 15, 18].\n</reasoning>\nFinal Answer: [3,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹1212. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1212 × 12/100 = 145.44. Total = 1212 + 145.44 = 1357.44.\n</reasoning>\nFinal Answer: 1357.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is the probability of getting all heads when flipping 3 fair coin(s)?"
},
{
"role": "assistant",
"content": "<reasoning>\nEach coin has 2 outcomes. Total outcomes = 2^3 = 8. Only 1 has all heads. P = 1/8.\n</reasoning>\nFinal Answer: 1/8 ≈ 0.125"
}
] | medium | [
"probability"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×10)/1 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 199 km/h. How far does it travel in 2 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 37/60 = 2.6167 hours. Distance = speed × time = 199 × 2.6167 = 520.7167 km.\n</reasoning>\nFinal Answer: 520.7167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 781 × -739"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 781 by -739: 781 × -739 = -577159.\n</reasoning>\nFinal Answer: -577159"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 21 + 7 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×21=840 and 7×19=133, then add: 973.\n</reasoning>\nFinal Answer: 973"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 753 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 753 × (1 + 65/100) = 753 × 1.65 = 1242.45.\n</reasoning>\nFinal Answer: 1242.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 6 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 53/60 = 6.8833 hours. Distance = speed × time = 200 × 6.8833 = 1376.6667 km.\n</reasoning>\nFinal Answer: 1376.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:14 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/14, so B = A × (14/43) = 40 × 14/43 = 13.0233.\n</reasoning>\nFinal Answer: 13.0233"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -814 - 723"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 723 from -814: -814 - 723 = -1537.\n</reasoning>\nFinal Answer: -1537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 7, 5 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (7+5) × 35 = 210.0.\n</reasoning>\nFinal Answer: 210.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 13, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (41-1)×13 = 23 + 520 = 543.\n</reasoning>\nFinal Answer: 543"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6768 at 13% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6768 × 13 × 2 / 100 = 1759.68.\n</reasoning>\nFinal Answer: 1759.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -28 = 504"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 14x = 532. Divide by 14: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 12) * (41 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+12)=43, (41-10)=31, then 43×31=1333.\n</reasoning>\nFinal Answer: 1333"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 17 * 12 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 17×12=204, then 29+204-21=212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -589 × 864"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -589 by 864: -589 × 864 = -508896.\n</reasoning>\nFinal Answer: -508896"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:27 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/27, so B = A × (27/50) = 16 × 27/50 = 8.64.\n</reasoning>\nFinal Answer: 8.64"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43776 at 3% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43776 × 3 × 2 / 100 = 2626.56.\n</reasoning>\nFinal Answer: 2626.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 * 18/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/3) × (18/6) = (90/18) = 5 after simplification.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 162 km/h. How far does it travel in 2 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 31/60 = 2.5167 hours. Distance = speed × time = 162 × 2.5167 = 407.7 km.\n</reasoning>\nFinal Answer: 407.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 66 × -608"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 66 by -608: 66 × -608 = -40128.\n</reasoning>\nFinal Answer: -40128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 + 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/7 + 20/7. Common denominator = 7. Result = 37/7.\n</reasoning>\nFinal Answer: 37/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 5, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (39-1)×5 = 50 + 190 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:12 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/12, so B = A × (12/43) = 45 × 12/43 = 12.5581.\n</reasoning>\nFinal Answer: 12.5581"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37422 at 6% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37422 × 6 × 10 / 100 = 22453.2.\n</reasoning>\nFinal Answer: 22453.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 11 * 44 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×44=484, then 19+484-24=479.\n</reasoning>\nFinal Answer: 479"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹28028 at 10% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 28028 × 10 × 1 / 100 = 2802.8.\n</reasoning>\nFinal Answer: 2802.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 54 apples and buys 2 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 54 + 2 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -11 = -910"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 29x = -899. Divide by 29: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 705 × -33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 705 by -33: 705 × -33 = -23265.\n</reasoning>\nFinal Answer: -23265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:49 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/49, so B = A × (49/12) = 87 × 49/12 = 355.25.\n</reasoning>\nFinal Answer: 355.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:26 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/26, so B = A × (26/11) = 16 × 26/11 = 37.8182.\n</reasoning>\nFinal Answer: 37.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -20 = 968"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 26x = 988. Divide by 26: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 528 - -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -395 from 528: 528 - -395 = 923.\n</reasoning>\nFinal Answer: 923"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -611 - 231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 231 from -611: -611 - 231 = -842.\n</reasoning>\nFinal Answer: -842"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 - 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/2 - 4/11. LCD = 11. Result = 18/11.\n</reasoning>\nFinal Answer: 18/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 985 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 985 × (1 + 3/100) = 985 × 1.03 = 1014.55.\n</reasoning>\nFinal Answer: 1014.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 932 mod -415"
},
{
"role": "assistant",
"content": "<reasoning>\n932 mod -415: 932 = -415 × -3 + -313, so remainder = -313.\n</reasoning>\nFinal Answer: -313"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:4 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/4, so B = A × (4/38) = 85 × 4/38 = 8.9474.\n</reasoning>\nFinal Answer: 8.9474"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 50 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 43+2500-12=2531.\n</reasoning>\nFinal Answer: 2531"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 25, 23, 44, 43, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 44 - 23 = 21.\n</reasoning>\nFinal Answer: 21"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:7 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/7, so B = A × (7/50) = 10 × 7/50 = 1.4.\n</reasoning>\nFinal Answer: 1.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹4241. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4241 × 18/100 = 763.38. Total = 4241 + 763.38 = 5004.38.\n</reasoning>\nFinal Answer: 5004.38"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 40 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 40 × (1 - 10/100) = 40 × 0.9 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 21, 26, 82, 70, 88, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 376/7 = 53.7143.\n</reasoning>\nFinal Answer: 53.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 12 + 3 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×12=24 and 3×34=102, then add: 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 10, 13, 16, 19] and B = [4, 10, 13, 14, 15, 16, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 14, 15, 17].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 75% of 504?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 504 = (75/100) × 504 = 378.0.\n</reasoning>\nFinal Answer: 378.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -528 + -406"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -528 and -406: -528 + -406 = -934.\n</reasoning>\nFinal Answer: -934"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 379 + 568"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 379 and 568: 379 + 568 = 947.\n</reasoning>\nFinal Answer: 947"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 48) * (5 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+48)=64, (5-39)=-34, then 64×-34=-2176.\n</reasoning>\nFinal Answer: -2176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 155 mod -808"
},
{
"role": "assistant",
"content": "<reasoning>\n155 mod -808: 155 = -808 × -1 + -653, so remainder = -653.\n</reasoning>\nFinal Answer: -653"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -12 = -25"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 13x = -13. Divide by 13: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 165 mod 688"
},
{
"role": "assistant",
"content": "<reasoning>\n165 mod 688: 165 = 688 × 0 + 165, so remainder = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18851 at 2% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18851 × 2 × 5 / 100 = 1885.1.\n</reasoning>\nFinal Answer: 1885.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 12, 14, 15, 16] and B = [1, 8, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 15, 16].\n</reasoning>\nFinal Answer: [1, 15, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -23 = -400"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 29x = -377. Divide by 29: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 38 = 290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 21x = 252. Divide by 21: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -278 mod -770"
},
{
"role": "assistant",
"content": "<reasoning>\n-278 mod -770: -278 = -770 × 0 + -278, so remainder = -278.\n</reasoning>\nFinal Answer: -278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 18 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 18 = 288 worker-days. New time = 288 / 13 = 22.1538 days.\n</reasoning>\nFinal Answer: 22.1538"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -396 + 599"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -396 and 599: -396 + 599 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 16 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 34+256-22=268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 702 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 702 × (1 + 25/100) = 702 × 1.25 = 877.5.\n</reasoning>\nFinal Answer: 877.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 3, 78, 84, 1, 76, 85, 53, 80, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 3, 19, 53, 76, 78, 78, 80, 84, 85]. Middle value(s) → median = 77.0.\n</reasoning>\nFinal Answer: 77.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 * 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/5) × (16/16) = (112/80) = 7/5 after simplification.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -620 - -799"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -799 from -620: -620 - -799 = 179.\n</reasoning>\nFinal Answer: 179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 28 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+28) × 45 = 1057.5.\n</reasoning>\nFinal Answer: 1057.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [48, 71, 37, 55, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 37, 48, 55, 71]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "194 is what percentage of 435?"
},
{
"role": "assistant",
"content": "<reasoning>\n(194/435) × 100 = 44.5977%.\n</reasoning>\nFinal Answer: 44.5977%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 + 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/8 + 13/16. Common denominator = 16. Result = 23/16.\n</reasoning>\nFinal Answer: 23/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 15 = 162"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 3x = 147. Divide by 3: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3529. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3529 × 28/100 = 988.12. Total = 3529 + 988.12 = 4517.12.\n</reasoning>\nFinal Answer: 4517.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 98 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 98 × (1 + 60/100) = 98 × 1.6 = 156.8.\n</reasoning>\nFinal Answer: 156.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 43 and 197."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(43,197) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
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