messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 757 km apart. Their speeds are 115 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+40=155 km/h. Time = 757/155 = 4.8839 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "30 is what percentage of 110?"
},
{
"role": "assistant",
"content": "<reasoning>\n(30/110) × 100 = 27.2727%.\n</reasoning>\nFinal Answer: 27.2727%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹2206. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2206 × 18/100 = 397.08. Total = 2206 + 397.08 = 2603.08.\n</reasoning>\nFinal Answer: 2603.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 99 km/h. How far does it travel in 8 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 32/60 = 8.5333 hours. Distance = speed × time = 99 × 8.5333 = 844.8 km.\n</reasoning>\nFinal Answer: 844.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 190 and 117."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(190,117) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 6 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 6 = 108 worker-days. New time = 108 / 2 = 54.0 days.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 141 km/h. How far does it travel in 11 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 51/60 = 11.8500 hours. Distance = speed × time = 141 × 11.8500 = 1670.85 km.\n</reasoning>\nFinal Answer: 1670.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 67, 8, 87, 55, 45, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 45, 55, 56, 58, 67, 87]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4268. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4268 × 12/100 = 512.16. Total = 4268 + 512.16 = 4780.16.\n</reasoning>\nFinal Answer: 4780.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 7, 10, 12, 17] and B = [2, 10, 13, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 6, 7, 10, 12, 13, 16, 17].\n</reasoning>\nFinal Answer: [2, 5, 6, 7, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 6, 79, 48, 98, 18, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 421/7 = 60.1429.\n</reasoning>\nFinal Answer: 60.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5237 at 19% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5237 × 19 × 10 / 100 = 9950.3.\n</reasoning>\nFinal Answer: 9950.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 459 ÷ -205"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 459 by -205. 459 ÷ -205 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "272 is what percentage of 494?"
},
{
"role": "assistant",
"content": "<reasoning>\n(272/494) × 100 = 55.0607%.\n</reasoning>\nFinal Answer: 55.0607%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:20 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/20, so B = A × (20/34) = 2 × 20/34 = 1.1765.\n</reasoning>\nFinal Answer: 1.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 4/4 / 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/4) ÷ (1/17) = (4/4) × (17/1) = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 4. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 4 ≈ 25.1327.\n</reasoning>\nFinal Answer: 25.1327"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/1) ÷ (15/15) = (19/1) × (15/15) = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/5 + 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/5 + 4/11. Common denominator = 11. Result = 15/11.\n</reasoning>\nFinal Answer: 15/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 17, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 17 + 22 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 - 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/12 - 1/16. LCD = 16. Result = 3/16.\n</reasoning>\nFinal Answer: 3/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 127 km/h. How far does it travel in 12 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 37/60 = 12.6167 hours. Distance = speed × time = 127 × 12.6167 = 1602.3167 km.\n</reasoning>\nFinal Answer: 1602.3167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -956 - -582"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -582 from -956: -956 - -582 = -374.\n</reasoning>\nFinal Answer: -374"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [27, 18, 88, 59, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 199/5 = 39.8.\n</reasoning>\nFinal Answer: 39.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -30 = 930"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 24x = 960. Divide by 24: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -18 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 9x = 153. Divide by 9: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [95, 10, 39, 53, 90, 73, 65, 46, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 10 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -881 - -417"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -417 from -881: -881 - -417 = -464.\n</reasoning>\nFinal Answer: -464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 22 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 22 = 220 worker-days. New time = 220 / 2 = 110.0 days.\n</reasoning>\nFinal Answer: 110.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 24, 30, 45, 37, 85, 22, 30, 89, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 22, 24, 25, 30, 30, 37, 45, 85, 89]. Middle value(s) → median = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:4 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/4, so B = A × (4/45) = 70 × 4/45 = 6.2222.\n</reasoning>\nFinal Answer: 6.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 10] and B = [4, 5, 8, 10, 11, 13, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 7, 8, 10, 11, 13, 16, 17].\n</reasoning>\nFinal Answer: [4, 5, 7, 8, 10, 11... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 - 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/13 - 11/10. LCD = 130. Result = 7/130.\n</reasoning>\nFinal Answer: 7/130"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 - 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/6 - 4/1. LCD = 1. Result = -1.\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 10 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 37+100-48=89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 74 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 74 × 42 = 1554.0.\n</reasoning>\nFinal Answer: 1554.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30219 at 3% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30219 × 3 × 9 / 100 = 8159.13.\n</reasoning>\nFinal Answer: 8159.13"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 23, 24, 25, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 1. Next term = 26 + 1 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 26 = -10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 4x = -36. Divide by 4: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 25 = 49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 6x = 24. Divide by 6: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [92, 70, 27, 43, 15, 74, 39, 21, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {92: 1, 70: 1, 27: 1, 43: 1, 15: 1, 74: 1, 39: 1, 21: 1, 1: 1}. Most frequent: [92, 70, 27, 43, 15, 74, 39, 21, 1].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 - 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/8 - 17/13. LCD = 52. Result = -29/52.\n</reasoning>\nFinal Answer: -29/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 165 × -841"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 165 by -841: 165 × -841 = -138765.\n</reasoning>\nFinal Answer: -138765"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 37 + 21 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×37=1221 and 21×49=1029, then add: 2250.\n</reasoning>\nFinal Answer: 2250"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -90 - -66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -66 from -90: -90 - -66 = -24.\n</reasoning>\nFinal Answer: -24"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 23 = 1518.\n</reasoning>\nFinal Answer: 1518"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -381 - 949"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 949 from -381: -381 - 949 = -1330.\n</reasoning>\nFinal Answer: -1330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -6 = 94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 10x = 100. Divide by 10: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 431 km apart. Their speeds are 62 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+113=175 km/h. Time = 431/175 = 2.4629 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 17 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 17 = 136 worker-days. New time = 136 / 18 = 7.5556 days.\n</reasoning>\nFinal Answer: 7.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 458 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 458 × (1 + 45/100) = 458 × 1.45 = 664.1.\n</reasoning>\nFinal Answer: 664.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:9 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/9, so B = A × (9/8) = 79 × 9/8 = 88.875.\n</reasoning>\nFinal Answer: 88.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 19] and B = [1, 7, 9, 11, 14, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7].\n</reasoning>\nFinal Answer: [7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 7 = -659"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 18x = -666. Divide by 18: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 7, 8, 13, 14, 15] and B = [12, 15, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [15].\n</reasoning>\nFinal Answer: [15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -33 + -324"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -33 and -324: -33 + -324 = -357.\n</reasoning>\nFinal Answer: -357"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 696 + 974"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 696 and 974: 696 + 974 = 1670.\n</reasoning>\nFinal Answer: 1670"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 64 apples and buys 171 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 64 + 171 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 + 7/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/13 + 7/20. Common denominator = 260. Result = 431/260.\n</reasoning>\nFinal Answer: 431/260"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 190 ÷ 707"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 190 by 707. 190 ÷ 707 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 106."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,106) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 20, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (19-1)×20 = 1 + 360 = 361.\n</reasoning>\nFinal Answer: 361"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 10% of 262?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 262 = (10/100) × 262 = 26.2.\n</reasoning>\nFinal Answer: 26.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4427. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4427 × 18/100 = 796.86. Total = 4427 + 796.86 = 5223.86.\n</reasoning>\nFinal Answer: 5223.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×21)/1 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -7 = 833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 28x = 840. Divide by 28: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:12 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/12, so B = A × (12/5) = 16 × 12/5 = 38.4.\n</reasoning>\nFinal Answer: 38.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 19) * (8 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+19)=48, (8-43)=-35, then 48×-35=-1680.\n</reasoning>\nFinal Answer: -1680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 373 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 373 × (1 + 35/100) = 373 × 1.35 = 503.55.\n</reasoning>\nFinal Answer: 503.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 28, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 28 + 32 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 458 mod -392"
},
{
"role": "assistant",
"content": "<reasoning>\n458 mod -392: 458 = -392 × -2 + -326, so remainder = -326.\n</reasoning>\nFinal Answer: -326"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -13 = -163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 10x = -150. Divide by 10: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 25, 37, 64, 97, 57, 66, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 471/8 = 58.875.\n</reasoning>\nFinal Answer: 58.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 88, 22, 5, 49, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 324/6 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "44 is what percentage of 189?"
},
{
"role": "assistant",
"content": "<reasoning>\n(44/189) × 100 = 23.2804%.\n</reasoning>\nFinal Answer: 23.2804%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [21, 38, 55, 72, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 21 and common difference 17. Next term = 89 + 17 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 27 = 855"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 23x = 828. Divide by 23: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -26 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 7x = -7. Divide by 7: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 24 = 1272.\n</reasoning>\nFinal Answer: 1272"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 9 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+9) × 17 = 85.0.\n</reasoning>\nFinal Answer: 85.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 717 km apart. Their speeds are 43 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+47=90 km/h. Time = 717/90 = 7.9667 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 8 = -766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 18x = -774. Divide by 18: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 71 = 6319.\n</reasoning>\nFinal Answer: 6319"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 177 - 290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 290 from 177: 177 - 290 = -113.\n</reasoning>\nFinal Answer: -113"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1708. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1708 × 12/100 = 204.96. Total = 1708 + 204.96 = 1912.96.\n</reasoning>\nFinal Answer: 1912.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 9, 16] and B = [1, 3, 6, 7, 10, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 7, 9, 10, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 2, 3, 6, 7, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -494 × 707"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -494 by 707: -494 × 707 = -349258.\n</reasoning>\nFinal Answer: -349258"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [14, 18, 19] and B = [3, 5, 6, 7, 11, 14, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [18, 19].\n</reasoning>\nFinal Answer: [18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 / 14/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/4) ÷ (14/15) = (3/4) × (15/14) = 45/56.\n</reasoning>\nFinal Answer: 45/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 43 km/h. How far does it travel in 5 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 46/60 = 5.7667 hours. Distance = speed × time = 43 × 5.7667 = 247.9667 km.\n</reasoning>\nFinal Answer: 247.9667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 86, 27, 83, 18, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 86: 1, 27: 1, 83: 1, 18: 1, 55: 1}. Most frequent: [70, 86, 27, 83, 18, 55].\n</reasoning>\nFinal Answer: [70, 86, 27, 83, 18, 55]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 11, 24, 52, 97, 94, 34, 66, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 453/9 = 50.3333.\n</reasoning>\nFinal Answer: 50.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:45 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/45, so B = A × (45/13) = 37 × 45/13 = 128.0769.\n</reasoning>\nFinal Answer: 128.0769"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -584 × 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -584 by 43: -584 × 43 = -25112.\n</reasoning>\nFinal Answer: -25112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (50)x + (45) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 50² - 4×5×45 = 1600. √discriminant = 40. x = (-(50) ± 40) / (2×5). Solutions: x = -1 or x = -9.\n</reasoning>\nFinal Answer: x = -1 or x = -9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "25 is what percentage of 376?"
},
{
"role": "assistant",
"content": "<reasoning>\n(25/376) × 100 = 6.6489%.\n</reasoning>\nFinal Answer: 6.6489%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 80% of 529?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 529 = (80/100) × 529 = 423.2.\n</reasoning>\nFinal Answer: 423.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 7, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (13-1)×7 = 31 + 84 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -24 = -48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 6x = -24. Divide by 6: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 5 and width 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(5+14) = 2×19 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"geometry",
"perimeter"
] |
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