messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -816 - 774"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 774 from -816: -816 - 774 = -1590.\n</reasoning>\nFinal Answer: -1590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -354 + 373"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -354 and 373: -354 + 373 = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 50% of 918?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 918 = (50/100) × 918 = 459.0.\n</reasoning>\nFinal Answer: 459.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [49, 68, 87, 106, 125]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 49 and common difference 19. Next term = 125 + 19 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:24 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/24, so B = A × (24/2) = 52 × 24/2 = 624.0.\n</reasoning>\nFinal Answer: 624.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 / 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/5) ÷ (3/5) = (16/5) × (5/3) = 16/3.\n</reasoning>\nFinal Answer: 16/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-9)x + (-10) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -9² - 4×1×-10 = 121. √discriminant = 11. x = (-(-9) ± 11) / (2×1). Solutions: x = 10 or x = -1.\n</reasoning>\nFinal Answer: x = 10 or x = -1"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 91, 2, 70, 93, 62, 70, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 91: 1, 2: 1, 70: 2, 93: 1, 62: 1, 55: 1}. Most frequent: 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 75, 48, 16, 9, 25, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 257/7 = 36.7143.\n</reasoning>\nFinal Answer: 36.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 50 = -1078"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 24x = -1128. Divide by 24: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -325 × 859"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -325 by 859: -325 × 859 = -279175.\n</reasoning>\nFinal Answer: -279175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 48 = 438"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 30x = 390. Divide by 30: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 31, 28, 78, 28, 36, 92, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 1 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 899 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 899 × (1 + 45/100) = 899 × 1.45 = 1303.55.\n</reasoning>\nFinal Answer: 1303.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -830 - -498"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -498 from -830: -830 - -498 = -332.\n</reasoning>\nFinal Answer: -332"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 8 * 25 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×25=200, then 19+200-20=199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -28 = -512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 11x = -484. Divide by 11: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 32 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 32 × 32 = 512.0.\n</reasoning>\nFinal Answer: 512.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 143 apples and buys 12 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 143 + 12 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 25 = 157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 4x = 132. Divide by 4: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 80, 32, 47, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 32, 47, 80, 100]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 35% of 457?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 457 = (35/100) × 457 = 159.95.\n</reasoning>\nFinal Answer: 159.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 63, 65, 76, 39, 99, 62, 14, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 540/9 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 + 16/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/2 + 16/17. Common denominator = 34. Result = 151/34.\n</reasoning>\nFinal Answer: 151/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 78 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 78 × 50 = 1950.0.\n</reasoning>\nFinal Answer: 1950.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 24 = 438"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 9x = 414. Divide by 9: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 28 + 40 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×28=644 and 40×8=320, then add: 964.\n</reasoning>\nFinal Answer: 964"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 12, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (19-1)×12 = 20 + 216 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [24, 27, 49, 91, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {24: 1, 27: 2, 49: 1, 91: 1}. Most frequent: 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -874 - 741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 741 from -874: -874 - 741 = -1615.\n</reasoning>\nFinal Answer: -1615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -427 × 892"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -427 by 892: -427 × 892 = -380884.\n</reasoning>\nFinal Answer: -380884"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [25, 44, 63, 82, 101]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 25 and common difference 19. Next term = 101 + 19 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 9 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 9 = 180 worker-days. New time = 180 / 18 = 10.0 days.\n</reasoning>\nFinal Answer: 10.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 7 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 7 = 35 worker-days. New time = 35 / 7 = 5.0 days.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 173 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 173 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -47 = -119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 12x = -72. Divide by 12: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 26, 65, 60, 93, 7, 32, 59, 80, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 26: 1, 65: 1, 60: 1, 93: 1, 7: 1, 32: 1, 59: 1, 80: 1, 46: 1}. Most frequent: [95, 26, 65, 60, 93, 7, 32, 59, 80, 46].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 16 = 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 1x = 39. Divide by 1: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 27 = 731"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 16x = 704. Divide by 16: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -48 = -888"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 28x = -840. Divide by 28: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -720 + -758"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -720 and -758: -720 + -758 = -1478.\n</reasoning>\nFinal Answer: -1478"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 713 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 713 × (1 + 5/100) = 713 × 1.05 = 748.65.\n</reasoning>\nFinal Answer: 748.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 8 * 35 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×35=280, then 35+280-46=269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -7 = 377"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 12x = 384. Divide by 12: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 1, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (11-1)×1 = 10 + 10 = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 12 + 37 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×12=60 and 37×9=333, then add: 393.\n</reasoning>\nFinal Answer: 393"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 701 × -179"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 701 by -179: 701 × -179 = -125479.\n</reasoning>\nFinal Answer: -125479"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 13 apples and buys 86 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 13 + 86 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 697 mod 428"
},
{
"role": "assistant",
"content": "<reasoning>\n697 mod 428: 697 = 428 × 1 + 269, so remainder = 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:38 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/38, so B = A × (38/26) = 82 × 38/26 = 119.8462.\n</reasoning>\nFinal Answer: 119.8462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 9, 18] and B = [12, 13, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 9, 12, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [3, 4, 5, 9, 12, 13, 15, 17, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 - 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/6 - 18/3. LCD = 6. Result = -25/6.\n</reasoning>\nFinal Answer: -25/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (4 + 48) * (9 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (4+48)=52, (9-13)=-4, then 52×-4=-208.\n</reasoning>\nFinal Answer: -208"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 11 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+11) × 36 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 25, 91, 97, 43, 89, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 35, 43, 56, 89, 91, 97]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 100% of 604?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 604 = (100/100) × 604 = 604.0.\n</reasoning>\nFinal Answer: 604.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 11 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 11/60 = 11.1833 hours. Distance = speed × time = 200 × 11.1833 = 2236.6667 km.\n</reasoning>\nFinal Answer: 2236.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -460 × 336"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -460 by 336: -460 × 336 = -154560.\n</reasoning>\nFinal Answer: -154560"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -262 ÷ 725"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -262 by 725. -262 ÷ 725 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 913 - 952"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 952 from 913: 913 - 952 = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "6 is what percentage of 335?"
},
{
"role": "assistant",
"content": "<reasoning>\n(6/335) × 100 = 1.791%.\n</reasoning>\nFinal Answer: 1.791%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 277 + -458"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 277 and -458: 277 + -458 = -181.\n</reasoning>\nFinal Answer: -181"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -516 + 500"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -516 and 500: -516 + 500 = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 / 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/9) ÷ (18/3) = (4/9) × (3/18) = 2/27.\n</reasoning>\nFinal Answer: 2/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 555?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 555 = (40/100) × 555 = 222.0.\n</reasoning>\nFinal Answer: 222.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 37 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 34+1369-31=1372.\n</reasoning>\nFinal Answer: 1372"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "450 is what percentage of 474?"
},
{
"role": "assistant",
"content": "<reasoning>\n(450/474) × 100 = 94.9367%.\n</reasoning>\nFinal Answer: 94.9367%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45107 at 2% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45107 × 2 × 10 / 100 = 9021.4.\n</reasoning>\nFinal Answer: 9021.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 172 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 172 = 371.\n</reasoning>\nFinal Answer: 371"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 2 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 47/60 = 2.7833 hours. Distance = speed × time = 70 × 2.7833 = 194.8333 km.\n</reasoning>\nFinal Answer: 194.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 419 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 419 × (1 + 80/100) = 419 × 1.8 = 754.2.\n</reasoning>\nFinal Answer: 754.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "35 is what percentage of 390?"
},
{
"role": "assistant",
"content": "<reasoning>\n(35/390) × 100 = 8.9744%.\n</reasoning>\nFinal Answer: 8.9744%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 16 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 12+256-48=220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 57 apples and buys 51 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 57 + 51 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 8, 10, 14, 15, 19] and B = [1, 7, 11, 15, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 5, 6, 8, 10, 14].\n</reasoning>\nFinal Answer: [3, 5, 6, 8, 10, 14... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 + 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/7 + 2/16. Common denominator = 56. Result = 111/56.\n</reasoning>\nFinal Answer: 111/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 37, 19 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (37+19) × 12 = 336.0.\n</reasoning>\nFinal Answer: 336.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 878 + 539"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 878 and 539: 878 + 539 = 1417.\n</reasoning>\nFinal Answer: 1417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/20 + 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/20 + 13/17. Common denominator = 170. Result = 181/170.\n</reasoning>\nFinal Answer: 181/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 82, 62, 46, 60, 51, 75, 67, 34, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 82: 1, 62: 1, 46: 1, 60: 1, 51: 1, 75: 1, 67: 1, 34: 1, 20: 1}. Most frequent: [76, 82, 62, 46, 60, 51, 75, 67, 34, 20].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39102 at 16% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39102 × 16 × 8 / 100 = 50050.56.\n</reasoning>\nFinal Answer: 50050.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -23 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 18x = -36. Divide by 18: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 120 and 192."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(120,192) = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 75% of 95?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 95 = (75/100) × 95 = 71.25.\n</reasoning>\nFinal Answer: 71.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "28 is what percentage of 832?"
},
{
"role": "assistant",
"content": "<reasoning>\n(28/832) × 100 = 3.3654%.\n</reasoning>\nFinal Answer: 3.3654%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 5, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (37-1)×5 = 16 + 180 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -988 - -971"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -971 from -988: -988 - -971 = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 5/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (5/14) = (18/9) × (14/5) = 28/5.\n</reasoning>\nFinal Answer: 28/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 20 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 40+400-21=419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -607 mod -394"
},
{
"role": "assistant",
"content": "<reasoning>\n-607 mod -394: -607 = -394 × 1 + -213, so remainder = -213.\n</reasoning>\nFinal Answer: -213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×46)/1 = 1518.\n</reasoning>\nFinal Answer: 1518"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:11 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/11, so B = A × (11/33) = 26 × 11/33 = 8.6667.\n</reasoning>\nFinal Answer: 8.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 44, 79, 11, 18, 40, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 11, 18, 35, 40, 44, 79]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 25 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+25) × 11 = 236.5.\n</reasoning>\nFinal Answer: 236.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-2)x + (-35) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×1×-35 = 144. √discriminant = 12. x = (-(-2) ± 12) / (2×1). Solutions: x = -5 or x = 7.\n</reasoning>\nFinal Answer: x = -5 or x = 7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 12) * (11 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+12)=48, (11-48)=-37, then 48×-37=-1776.\n</reasoning>\nFinal Answer: -1776"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -33 = -663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 18x = -630. Divide by 18: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 206 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 206 × (1 - 20/100) = 206 × 0.8 = 164.8.\n</reasoning>\nFinal Answer: 164.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1305. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1305 × 18/100 = 234.9. Total = 1305 + 234.9 = 1539.9.\n</reasoning>\nFinal Answer: 1539.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 5 = -691"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 24x = -696. Divide by 24: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.