messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 6x + 10 = 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 6x = 294. Divide by 6: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 24 = 474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 15x = 450. Divide by 15: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41142 at 18% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41142 × 18 × 4 / 100 = 29622.24.\n</reasoning>\nFinal Answer: 29622.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [96, 23, 99, 23, 11, 2, 47, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 308/8 = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹599. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 599 × 28/100 = 167.72. Total = 599 + 167.72 = 766.72.\n</reasoning>\nFinal Answer: 766.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 323 × 473"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 323 by 473: 323 × 473 = 152779.\n</reasoning>\nFinal Answer: 152779"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 397 × -607"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 397 by -607: 397 × -607 = -240979.\n</reasoning>\nFinal Answer: -240979"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 83 apples and buys 14 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 83 + 14 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 610 mod 630"
},
{
"role": "assistant",
"content": "<reasoning>\n610 mod 630: 610 = 630 × 0 + 610, so remainder = 610.\n</reasoning>\nFinal Answer: 610"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 26 = 481"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 13x = 455. Divide by 13: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -724 + 384"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -724 and 384: -724 + 384 = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×4)/1 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹3601. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3601 × 18/100 = 648.18. Total = 3601 + 648.18 = 4249.18.\n</reasoning>\nFinal Answer: 4249.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 8 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 8 = 152 worker-days. New time = 152 / 12 = 12.6667 days.\n</reasoning>\nFinal Answer: 12.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 67 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n67 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the median of: [62, 56, 76, 12, 90, 95, 78, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 56, 62, 76, 78, 90, 95, 100]. Middle value(s) → median = 77.0.\n</reasoning>\nFinal Answer: 77.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 84 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 84 = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 580 km apart. Their speeds are 79 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+114=193 km/h. Time = 580/193 = 3.0052 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -432 + -390"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -432 and -390: -432 + -390 = -822.\n</reasoning>\nFinal Answer: -822"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/13 - 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/13 - 6/15. LCD = 65. Result = 69/65.\n</reasoning>\nFinal Answer: 69/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:37 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/37, so B = A × (37/47) = 31 × 37/47 = 24.4043.\n</reasoning>\nFinal Answer: 24.4043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 126 mod 78"
},
{
"role": "assistant",
"content": "<reasoning>\n126 mod 78: 126 = 78 × 1 + 48, so remainder = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 1 * 48 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×48=48, then 26+48-24=50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 530 ÷ -387"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 530 by -387. 530 ÷ -387 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 36 = -667"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 19x = -703. Divide by 19: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -312 - 516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 516 from -312: -312 - 516 = -828.\n</reasoning>\nFinal Answer: -828"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -54 × 262"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -54 by 262: -54 × 262 = -14148.\n</reasoning>\nFinal Answer: -14148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 10, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (20-1)×10 = 6 + 190 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "115 is what percentage of 991?"
},
{
"role": "assistant",
"content": "<reasoning>\n(115/991) × 100 = 11.6044%.\n</reasoning>\nFinal Answer: 11.6044%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:23 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/23, so B = A × (23/46) = 94 × 23/46 = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 60, 99, 26, 28, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 28, 35, 51, 60, 99]. Middle value(s) → median = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 683 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 683 × (1 - 3/100) = 683 × 0.97 = 662.51.\n</reasoning>\nFinal Answer: 662.51"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 10% of 252?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 252 = (10/100) × 252 = 25.2.\n</reasoning>\nFinal Answer: 25.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 44 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 37+1936-15=1958.\n</reasoning>\nFinal Answer: 1958"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [38, 42, 46, 50, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 38 and common difference 4. Next term = 54 + 4 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 39 = 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 16x = -16. Divide by 16: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×10)/2 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (30 + 39) * (17 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (30+39)=69, (17-6)=11, then 69×11=759.\n</reasoning>\nFinal Answer: 759"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 11, 12, 17, 18, 19] and B = [1, 2, 3, 4, 9, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 11, 12, 17, 18, 19].\n</reasoning>\nFinal Answer: [8, 11, 12, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 4 = -535"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 11x = -539. Divide by 11: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 34) * (21 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+34)=39, (21-5)=16, then 39×16=624.\n</reasoning>\nFinal Answer: 624"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 * 18/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/2) × (18/1) = (324/2) = 162 after simplification.\n</reasoning>\nFinal Answer: 162"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:5 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/5, so B = A × (5/47) = 45 × 5/47 = 4.7872.\n</reasoning>\nFinal Answer: 4.7872"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 26 * 18 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×18=468, then 49+468-2=515.\n</reasoning>\nFinal Answer: 515"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 781 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 781 × (1 - 20/100) = 781 × 0.8 = 624.8.\n</reasoning>\nFinal Answer: 624.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 297 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 297 × (1 - 60/100) = 297 × 0.4 = 118.8.\n</reasoning>\nFinal Answer: 118.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -4 = 292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 8x = 296. Divide by 8: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 97 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(97+80) = 2×177 = 354.\n</reasoning>\nFinal Answer: 354"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 695 mod -12"
},
{
"role": "assistant",
"content": "<reasoning>\n695 mod -12: 695 = -12 × -58 + -1, so remainder = -1.\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 228 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 228 × (1 + 50/100) = 228 × 1.5 = 342.0.\n</reasoning>\nFinal Answer: 342.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 32 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 46+1024-4=1066.\n</reasoning>\nFinal Answer: 1066"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:36 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/36, so B = A × (36/15) = 50 × 36/15 = 120.0.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -630 × 99"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -630 by 99: -630 × 99 = -62370.\n</reasoning>\nFinal Answer: -62370"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 2) * (3 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+2)=34, (3-23)=-20, then 34×-20=-680.\n</reasoning>\nFinal Answer: -680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 854 × 368"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 854 by 368: 854 × 368 = 314272.\n</reasoning>\nFinal Answer: 314272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 40 * 25 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×25=1000, then 20+1000-31=989.\n</reasoning>\nFinal Answer: 989"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 24, and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 24 + 26 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 925 - 767"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 767 from 925: 925 - 767 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1585 at 18% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1585 × 18 × 4 / 100 = 1141.2.\n</reasoning>\nFinal Answer: 1141.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 25 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+25) × 34 = 527.0.\n</reasoning>\nFinal Answer: 527.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 10, 11, 14, 18] and B = [5, 6, 7, 13, 14, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [7, 14, 18].\n</reasoning>\nFinal Answer: [7, 14, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 184 + -134"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 184 and -134: 184 + -134 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [96, 78, 65, 19, 69, 35, 59, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 511/8 = 63.875.\n</reasoning>\nFinal Answer: 63.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 75 apples and buys 6 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 75 + 6 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 22 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 22 = 220 worker-days. New time = 220 / 6 = 36.6667 days.\n</reasoning>\nFinal Answer: 36.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -37 = -301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 24x = -264. Divide by 24: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -790 × -861"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -790 by -861: -790 × -861 = 680190.\n</reasoning>\nFinal Answer: 680190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹45372 at 16% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 45372 × 16 × 5 / 100 = 36297.6.\n</reasoning>\nFinal Answer: 36297.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 19 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 41+361-16=386.\n</reasoning>\nFinal Answer: 386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 792 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 792 × (1 - 100/100) = 792 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 66, 84, 69, 19, 93, 65, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 26, 65, 66, 69, 84, 93, 98]. Middle value(s) → median = 67.5.\n</reasoning>\nFinal Answer: 67.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 + 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/17 + 14/20. Common denominator = 170. Result = 129/170.\n</reasoning>\nFinal Answer: 129/170"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 * 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/11) × (1/17) = (18/187) = 18/187 after simplification.\n</reasoning>\nFinal Answer: 18/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 20 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+20) × 28 = 826.0.\n</reasoning>\nFinal Answer: 826.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 - 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/5 - 5/2. LCD = 2. Result = -1/2.\n</reasoning>\nFinal Answer: -1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:21 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/21, so B = A × (21/15) = 81 × 21/15 = 113.4.\n</reasoning>\nFinal Answer: 113.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 88, 90, 65, 55, 53, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 5 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 24 * 12 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×12=288, then 8+288-20=276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 88 apples and buys 54 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 88 + 54 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 45 = 851"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 26x = 806. Divide by 26: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 100, 59, 82, 44, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 33, 44, 59, 82, 100]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 50% of 126?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 126 = (50/100) × 126 = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 45 km/h. How far does it travel in 6 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 23/60 = 6.3833 hours. Distance = speed × time = 45 × 6.3833 = 287.25 km.\n</reasoning>\nFinal Answer: 287.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 17 = 1326.\n</reasoning>\nFinal Answer: 1326"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [31, 23, 31, 35, 87, 46, 42, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 31, 31, 35, 42, 46, 70, 87]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -22 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 9x = -36. Divide by 9: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 91 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 91 × 29 = 2639.\n</reasoning>\nFinal Answer: 2639"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -681 × -459"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -681 by -459: -681 × -459 = 312579.\n</reasoning>\nFinal Answer: 312579"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 - 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/14 - 13/4. LCD = 28. Result = -53/28.\n</reasoning>\nFinal Answer: -53/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/15 - 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/15 - 15/18. LCD = 30. Result = 11/30.\n</reasoning>\nFinal Answer: 11/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 79 - 887"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 887 from 79: 79 - 887 = -808.\n</reasoning>\nFinal Answer: -808"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -18 = 422"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 11x = 440. Divide by 11: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 35 and common difference 8, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 35 + (16-1)×8 = 35 + 120 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -482 + -635"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -482 and -635: -482 + -635 = -1117.\n</reasoning>\nFinal Answer: -1117"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×4)/2 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 72 mod 452"
},
{
"role": "assistant",
"content": "<reasoning>\n72 mod 452: 72 = 452 × 0 + 72, so remainder = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 23 * 29 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×29=667, then 37+667-26=678.\n</reasoning>\nFinal Answer: 678"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -859 mod 531"
},
{
"role": "assistant",
"content": "<reasoning>\n-859 mod 531: -859 = 531 × -2 + 203, so remainder = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 22) * (7 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+22)=68, (7-35)=-28, then 68×-28=-1904.\n</reasoning>\nFinal Answer: -1904"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 1 = 211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 30x = 210. Divide by 30: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
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