messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 38 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 37+1444-34=1447.\n</reasoning>\nFinal Answer: 1447"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 281 mod 373"
},
{
"role": "assistant",
"content": "<reasoning>\n281 mod 373: 281 = 373 × 0 + 281, so remainder = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 16 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 16 + 128 = 144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 851 × -914"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 851 by -914: 851 × -914 = -777814.\n</reasoning>\nFinal Answer: -777814"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 30) * (10 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+30)=65, (10-36)=-26, then 65×-26=-1690.\n</reasoning>\nFinal Answer: -1690"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 77, 1, 66, 71, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 77: 1, 1: 1, 66: 1, 71: 1, 91: 1}. Most frequent: [2, 77, 1, 66, 71, 91].\n</reasoning>\nFinal Answer: [2, 77, 1, 66, 71, 91]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 20 = 1100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 30x = 1080. Divide by 30: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/6 + 19/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/6 + 19/4. Common denominator = 4. Result = 25/4.\n</reasoning>\nFinal Answer: 25/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 65 km/h. How far does it travel in 6 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 47/60 = 6.7833 hours. Distance = speed × time = 65 × 6.7833 = 440.9167 km.\n</reasoning>\nFinal Answer: 440.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -759 - -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -96 from -759: -759 - -96 = -663.\n</reasoning>\nFinal Answer: -663"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 45, 61, 77, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 16. Next term = 93 + 16 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 1 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 54/60 = 1.9000 hours. Distance = speed × time = 172 × 1.9000 = 326.8 km.\n</reasoning>\nFinal Answer: 326.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -47 = -55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 2x = -8. Divide by 2: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 20 + 46 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×20=900 and 46×33=1518, then add: 2418.\n</reasoning>\nFinal Answer: 2418"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -591 - -77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -77 from -591: -591 - -77 = -514.\n</reasoning>\nFinal Answer: -514"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "17 is what percentage of 25?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/25) × 100 = 68.0%.\n</reasoning>\nFinal Answer: 68.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×48)/1 = 1104.\n</reasoning>\nFinal Answer: 1104"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 9 * 12 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×12=108, then 40+108-27=121.\n</reasoning>\nFinal Answer: 121"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -849 + 937"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -849 and 937: -849 + 937 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 2 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 44/60 = 2.7333 hours. Distance = speed × time = 157 × 2.7333 = 429.1333 km.\n</reasoning>\nFinal Answer: 429.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [25, 26, 27, 28, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 25 and common difference 1. Next term = 29 + 1 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+35) = 2×101 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -47 × 78"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -47 by 78: -47 × 78 = -3666.\n</reasoning>\nFinal Answer: -3666"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×15)/1 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:13 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/13, so B = A × (13/1) = 100 × 13/1 = 1300.0.\n</reasoning>\nFinal Answer: 1300.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "141 is what percentage of 444?"
},
{
"role": "assistant",
"content": "<reasoning>\n(141/444) × 100 = 31.7568%.\n</reasoning>\nFinal Answer: 31.7568%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 222 × -334"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 222 by -334: 222 × -334 = -74148.\n</reasoning>\nFinal Answer: -74148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 21 = 1617.\n</reasoning>\nFinal Answer: 1617"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 507 × -753"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 507 by -753: 507 × -753 = -381771.\n</reasoning>\nFinal Answer: -381771"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 11, 12, 16] and B = [4, 8, 10, 14, 15, 17, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 11, 12, 16].\n</reasoning>\nFinal Answer: [2, 11, 12, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 46, 13 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (46+13) × 14 = 413.0.\n</reasoning>\nFinal Answer: 413.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 6, 14, 17] and B = [2, 3, 4, 11, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 6, 17].\n</reasoning>\nFinal Answer: [5, 6, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 6, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (48-1)×6 = 45 + 282 = 327.\n</reasoning>\nFinal Answer: 327"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -316 ÷ 761"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -316 by 761. -316 ÷ 761 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 33, 91, 28, 72, 54, 83, 67, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 28 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×49)/1 = 2352.\n</reasoning>\nFinal Answer: 2352"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 772 × 159"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 772 by 159: 772 × 159 = 122748.\n</reasoning>\nFinal Answer: 122748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 20 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+20) × 19 = 560.5.\n</reasoning>\nFinal Answer: 560.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 / 12/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/5) ÷ (12/2) = (7/5) × (2/12) = 7/30.\n</reasoning>\nFinal Answer: 7/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 11 + 29 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×11=209 and 29×29=841, then add: 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 130."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 130 by smallest primes repeatedly: 130 = 2 × 5 × 13.\n</reasoning>\nFinal Answer: 2 × 5 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 13 + 21 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×13=234 and 21×13=273, then add: 507.\n</reasoning>\nFinal Answer: 507"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 6 * 13 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×13=78, then 2+78-41=39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -370 × -873"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -370 by -873: -370 × -873 = 323010.\n</reasoning>\nFinal Answer: 323010"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 47, 5, 1, 93, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 47: 1, 5: 1, 1: 1, 93: 1, 77: 1}. Most frequent: [28, 47, 5, 1, 93, 77].\n</reasoning>\nFinal Answer: [28, 47, 5, 1, 93, 77]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 9, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (47-1)×9 = 11 + 414 = 425.\n</reasoning>\nFinal Answer: 425"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 468 × -742"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 468 by -742: 468 × -742 = -347256.\n</reasoning>\nFinal Answer: -347256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 8 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 45 * 22 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×22=990, then 3+990-36=957.\n</reasoning>\nFinal Answer: 957"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 741 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 741 × (1 + 10/100) = 741 × 1.1 = 815.1.\n</reasoning>\nFinal Answer: 815.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 427."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 427 by smallest primes repeatedly: 427 = 7 × 61.\n</reasoning>\nFinal Answer: 7 × 61"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -593 ÷ 738"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -593 by 738. -593 ÷ 738 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 11, 72, 91, 40, 100, 59, 22, 86, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 614/10 = 61.4.\n</reasoning>\nFinal Answer: 61.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 * 19 + 44 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×19=399 and 44×43=1892, then add: 2291.\n</reasoning>\nFinal Answer: 2291"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 302 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 302 × (1 + 35/100) = 302 × 1.35 = 407.7.\n</reasoning>\nFinal Answer: 407.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 6 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+6) × 6 = 159.0.\n</reasoning>\nFinal Answer: 159.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 28 = 298"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 15x = 270. Divide by 15: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 7 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 11+49-23=37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 153 × -419"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 153 by -419: 153 × -419 = -64107.\n</reasoning>\nFinal Answer: -64107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 24 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 24x = 96. Divide by 24: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹3302. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3302 × 28/100 = 924.56. Total = 3302 + 924.56 = 4226.56.\n</reasoning>\nFinal Answer: 4226.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -37 = 299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 16x = 336. Divide by 16: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [26, 28, 30, 32, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 26 and common difference 2. Next term = 34 + 2 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 87, 47, 65, 50, 96, 50, 36, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 605/9 = 67.2222.\n</reasoning>\nFinal Answer: 67.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 45) * (6 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+45)=47, (6-16)=-10, then 47×-10=-470.\n</reasoning>\nFinal Answer: -470"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 94 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n94 = 2 × 47, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 3) * (18 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+3)=53, (18-37)=-19, then 53×-19=-1007.\n</reasoning>\nFinal Answer: -1007"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "List all positive factors of 48."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 48: factors are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48].\n</reasoning>\nFinal Answer: [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 11, 14, 17] and B = [2, 9, 14, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 11].\n</reasoning>\nFinal Answer: [4, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (36)x + (160) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 36² - 4×2×160 = 16. √discriminant = 4. x = (-(36) ± 4) / (2×2). Solutions: x = -10 or x = -8.\n</reasoning>\nFinal Answer: x = -10 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 9 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 39/60 = 9.6500 hours. Distance = speed × time = 167 × 9.6500 = 1611.55 km.\n</reasoning>\nFinal Answer: 1611.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 421 ÷ -276"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 421 by -276. 421 ÷ -276 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 545?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 545 = (15/100) × 545 = 81.75.\n</reasoning>\nFinal Answer: 81.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -30 - 913"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 913 from -30: -30 - 913 = -943.\n</reasoning>\nFinal Answer: -943"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 105 apples and buys 109 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 105 + 109 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -282 × 279"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -282 by 279: -282 × 279 = -78678.\n</reasoning>\nFinal Answer: -78678"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -772 ÷ -48"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -772 by -48. -772 ÷ -48 = 16 (integer division).\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 389 km apart. Their speeds are 72 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+86=158 km/h. Time = 389/158 = 2.462 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 + 4/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/8 + 4/11. Common denominator = 88. Result = 109/88.\n</reasoning>\nFinal Answer: 109/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 85, 79, 61, 79, 55, 90, 98, 13, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 85: 1, 79: 2, 61: 1, 55: 1, 90: 1, 98: 1, 13: 1, 91: 1}. Most frequent: 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 6 = 90"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 14x = 84. Divide by 14: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 / 17/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/18) ÷ (17/14) = (1/18) × (14/17) = 7/153.\n</reasoning>\nFinal Answer: 7/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 8, 13, 16, 18] and B = [4, 12, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 8, 12, 13, 15, 16, 18, 19].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 * 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/17) × (15/1) = (75/17) = 75/17 after simplification.\n</reasoning>\nFinal Answer: 75/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 97, 81, 43, 66, 6, 61, 1, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 1 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [83, 52, 45, 72, 49, 70, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 45 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 587 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 587 × (1 - 7/100) = 587 × 0.9299999999999999 = 545.91.\n</reasoning>\nFinal Answer: 545.91"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -853 ÷ -965"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -853 by -965. -853 ÷ -965 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43784 at 20% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43784 × 20 × 7 / 100 = 61297.6.\n</reasoning>\nFinal Answer: 61297.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:47 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/47, so B = A × (47/6) = 52 × 47/6 = 407.3333.\n</reasoning>\nFinal Answer: 407.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -367 ÷ -512"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -367 by -512. -367 ÷ -512 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 10, 12, 17, 19] and B = [3, 5, 6, 8, 12, 15, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 551 + 777"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 551 and 777: 551 + 777 = 1328.\n</reasoning>\nFinal Answer: 1328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23854 at 3% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23854 × 3 × 5 / 100 = 3578.1.\n</reasoning>\nFinal Answer: 3578.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -16 = -296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 28x = -280. Divide by 28: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 11 = 286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 11x = 275. Divide by 11: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 535 ÷ 162"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 535 by 162. 535 ÷ 162 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 10) * (50 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+10)=20, (50-29)=21, then 20×21=420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 479 km apart. Their speeds are 56 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+99=155 km/h. Time = 479/155 = 3.0903 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 5 = 25.\n</reasoning>\nFinal Answer: 25"
}
] | easy | [
"geometry",
"area"
] |
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