messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 25:42 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/42, so B = A × (42/25) = 17 × 42/25 = 28.56.\n</reasoning>\nFinal Answer: 28.56"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 109 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(109,7) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/7 * 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/7) × (1/17) = (18/119) = 18/119 after simplification.\n</reasoning>\nFinal Answer: 18/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 171 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 = 171 × 2.7333 = 467.4 km.\n</reasoning>\nFinal Answer: 467.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 29 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 29 = 145 worker-days. New time = 145 / 5 = 29.0 days.\n</reasoning>\nFinal Answer: 29.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 70, 62, 37, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 70: 1, 62: 1, 37: 1, 5: 1}. Most frequent: [67, 70, 62, 37, 5].\n</reasoning>\nFinal Answer: [67, 70, 62, 37, 5]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 101 apples and buys 181 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 101 + 181 = 282.\n</reasoning>\nFinal Answer: 282"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1777 at 12% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1777 × 12 × 7 / 100 = 1492.68.\n</reasoning>\nFinal Answer: 1492.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 26 + 1 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×26=260 and 1×45=45, then add: 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 47 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+47) × 17 = 629.0.\n</reasoning>\nFinal Answer: 629.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 15 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 43+225-4=264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-60)x + (160) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -60² - 4×5×160 = 400. √discriminant = 20. x = (-(-60) ± 20) / (2×5). Solutions: x = 4 or x = 8.\n</reasoning>\nFinal Answer: x = 4 or x = 8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 * 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/12) × (10/17) = (140/204) = 35/51 after simplification.\n</reasoning>\nFinal Answer: 35/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 67 km/h. How far does it travel in 12 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 4/60 = 12.0667 hours. Distance = speed × time = 67 × 12.0667 = 808.4667 km.\n</reasoning>\nFinal Answer: 808.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 191 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(191,5) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 46 ** 2 - 19"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 11+2116-19=2108.\n</reasoning>\nFinal Answer: 2108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 556 × -974"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 556 by -974: 556 × -974 = -541544.\n</reasoning>\nFinal Answer: -541544"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 85, 5, 28, 99, 44, 43, 77, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 28, 43, 44, 45, 77, 85, 89, 99]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -638 - 829"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 829 from -638: -638 - 829 = -1467.\n</reasoning>\nFinal Answer: -1467"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 17, 24, 31, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 10 and common difference 7. Next term = 38 + 7 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 617 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 617 × (1 - 45/100) = 617 × 0.55 = 339.35.\n</reasoning>\nFinal Answer: 339.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/16 + 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/16 + 7/17. Common denominator = 272. Result = 197/272.\n</reasoning>\nFinal Answer: 197/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 13, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (24-1)×13 = 23 + 299 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -75 mod 442"
},
{
"role": "assistant",
"content": "<reasoning>\n-75 mod 442: -75 = 442 × -1 + 367, so remainder = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -167 × 693"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -167 by 693: -167 × 693 = -115731.\n</reasoning>\nFinal Answer: -115731"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -25 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 5x = 145. Divide by 5: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -4 = -312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 7x = -308. Divide by 7: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2818. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2818 × 5/100 = 140.9. Total = 2818 + 140.9 = 2958.9.\n</reasoning>\nFinal Answer: 2958.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 / 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/4) ÷ (13/9) = (20/4) × (9/13) = 45/13.\n</reasoning>\nFinal Answer: 45/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -844 ÷ -916"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -844 by -916. -844 ÷ -916 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×8)/1 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -511 - 733"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 733 from -511: -511 - 733 = -1244.\n</reasoning>\nFinal Answer: -1244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 954 - -817"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -817 from 954: 954 - -817 = 1771.\n</reasoning>\nFinal Answer: 1771"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 / 2/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/4) ÷ (2/10) = (6/4) × (10/2) = 15/2.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:15 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/15, so B = A × (15/5) = 50 × 15/5 = 150.0.\n</reasoning>\nFinal Answer: 150.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 732 × -663"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 732 by -663: 732 × -663 = -485316.\n</reasoning>\nFinal Answer: -485316"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 40 = -136"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 4x = -176. Divide by 4: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 578 ÷ -445"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 578 by -445. 578 ÷ -445 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -13 = 338"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 9x = 351. Divide by 9: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 95 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(95,37) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 41 + 49 * 39"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×41=1271 and 49×39=1911, then add: 3182.\n</reasoning>\nFinal Answer: 3182"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 24) * (20 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+24)=69, (20-16)=4, then 69×4=276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 16, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (34-1)×16 = 14 + 528 = 542.\n</reasoning>\nFinal Answer: 542"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 - 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/14 - 17/4. LCD = 28. Result = -109/28.\n</reasoning>\nFinal Answer: -109/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 483 + 957"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 483 and 957: 483 + 957 = 1440.\n</reasoning>\nFinal Answer: 1440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 150 km apart. Their speeds are 115 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+110=225 km/h. Time = 150/225 = 0.6667 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 50 = 536"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 27x = 486. Divide by 27: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 69 and 129."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(69,129) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 36 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 36 × 75 = 2700.\n</reasoning>\nFinal Answer: 2700"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 62 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -39 = -93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 3x = -54. Divide by 3: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 80% of 748?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 748 = (80/100) × 748 = 598.4.\n</reasoning>\nFinal Answer: 598.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 179 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 179 + 152 = 331.\n</reasoning>\nFinal Answer: 331"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 38 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (38×12)/2 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 2/9 * 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/9) × (6/14) = (12/126) = 2/21 after simplification.\n</reasoning>\nFinal Answer: 2/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:18 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/18, so B = A × (18/34) = 32 × 18/34 = 16.9412.\n</reasoning>\nFinal Answer: 16.9412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48902 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48902 × 17 × 4 / 100 = 33253.36.\n</reasoning>\nFinal Answer: 33253.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 708 mod 486"
},
{
"role": "assistant",
"content": "<reasoning>\n708 mod 486: 708 = 486 × 1 + 222, so remainder = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 13 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n13 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -505 × -547"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -505 by -547: -505 × -547 = 276235.\n</reasoning>\nFinal Answer: 276235"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 58 = 522.\n</reasoning>\nFinal Answer: 522"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:6 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/6, so B = A × (6/32) = 34 × 6/32 = 6.375.\n</reasoning>\nFinal Answer: 6.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 28) * (24 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+28)=78, (24-4)=20, then 78×20=1560.\n</reasoning>\nFinal Answer: 1560"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "544 is what percentage of 718?"
},
{
"role": "assistant",
"content": "<reasoning>\n(544/718) × 100 = 75.766%.\n</reasoning>\nFinal Answer: 75.766%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 69, 72, 5, 98, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 5 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+49) = 2×93 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 14 + 50 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×14=308 and 50×50=2500, then add: 2808.\n</reasoning>\nFinal Answer: 2808"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 866 × 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 866 by 22: 866 × 22 = 19052.\n</reasoning>\nFinal Answer: 19052"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 1 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 12+1-14=-1.\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -9 = 231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 10x = 240. Divide by 10: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 7, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (42-1)×7 = 1 + 287 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 16 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+16) × 15 = 322.5.\n</reasoning>\nFinal Answer: 322.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:20 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/20, so B = A × (20/32) = 99 × 20/32 = 61.875.\n</reasoning>\nFinal Answer: 61.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 * 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/14) × (10/20) = (170/280) = 17/28 after simplification.\n</reasoning>\nFinal Answer: 17/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 33 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (33×32)/1 = 1056.\n</reasoning>\nFinal Answer: 1056"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 90% of 20?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 20 = (90/100) × 20 = 18.0.\n</reasoning>\nFinal Answer: 18.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 138 + -88"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 138 and -88: 138 + -88 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 937 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 937 × (1 + 3/100) = 937 × 1.03 = 965.11.\n</reasoning>\nFinal Answer: 965.11"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 16, 88, 78, 73, 15, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 16, 35, 38, 73, 78, 88]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 / 9/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/6) ÷ (9/20) = (14/6) × (20/9) = 140/27.\n</reasoning>\nFinal Answer: 140/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:15 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/15, so B = A × (15/9) = 96 × 15/9 = 160.0.\n</reasoning>\nFinal Answer: 160.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 401 km apart. Their speeds are 74 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 74+89=163 km/h. Time = 401/163 = 2.4601 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 20 = -486"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 23x = -506. Divide by 23: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 23 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 23 = 115 worker-days. New time = 115 / 19 = 6.0526 days.\n</reasoning>\nFinal Answer: 6.0526"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 * 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/12) × (10/5) = (190/60) = 19/6 after simplification.\n</reasoning>\nFinal Answer: 19/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 44 + 27 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×44=748 and 27×15=405, then add: 1153.\n</reasoning>\nFinal Answer: 1153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 178."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 178 by smallest primes repeatedly: 178 = 2 × 89.\n</reasoning>\nFinal Answer: 2 × 89"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: 250 + -294"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 250 and -294: 250 + -294 = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 614 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 614 × (1 + 35/100) = 614 × 1.35 = 828.9.\n</reasoning>\nFinal Answer: 828.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 73 = 3212.0.\n</reasoning>\nFinal Answer: 3212.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 47 = 149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 17x = 102. Divide by 17: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 / 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/13) ÷ (9/13) = (20/13) × (13/9) = 20/9.\n</reasoning>\nFinal Answer: 20/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 12, 13] and B = [3, 8, 12, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 8, 13, 16, 17].\n</reasoning>\nFinal Answer: [2, 3... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -567 × -550"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -567 by -550: -567 × -550 = 311850.\n</reasoning>\nFinal Answer: 311850"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -41 = -97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 7x = -56. Divide by 7: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 41 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+41) × 11 = 379.5.\n</reasoning>\nFinal Answer: 379.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 642 mod 997"
},
{
"role": "assistant",
"content": "<reasoning>\n642 mod 997: 642 = 997 × 0 + 642, so remainder = 642.\n</reasoning>\nFinal Answer: 642"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (60)x + (300) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 60² - 4×3×300 = 0. √discriminant = 0. x = (-(60) ± 0) / (2×3). Solutions: x = -10 (double root).\n</reasoning>\nFinal Answer: x = -10 (double r... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 100, 52, 93, 77, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [33, 44, 52, 77, 93, 100]. Middle value(s) → median = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 23 = 79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 14x = 56. Divide by 14: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
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