messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 32:43 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/43, so B = A × (43/32) = 49 × 43/32 = 65.8438.\n</reasoning>\nFinal Answer: 65.8438"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:9 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/9, so B = A × (9/9) = 90 × 9/9 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 52 × -624"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 52 by -624: 52 × -624 = -32448.\n</reasoning>\nFinal Answer: -32448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 21 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 3x = 114. Divide by 3: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 47 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 23+2209-27=2205.\n</reasoning>\nFinal Answer: 2205"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 566 + -1000"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 566 and -1000: 566 + -1000 = -434.\n</reasoning>\nFinal Answer: -434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 13 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+13) × 47 = 658.0.\n</reasoning>\nFinal Answer: 658.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 - 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/9 - 6/6. LCD = 1. Result = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/9 + 3/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/9 + 3/17. Common denominator = 51. Result = 94/51.\n</reasoning>\nFinal Answer: 94/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 0 = -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 21x = -189. Divide by 21: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35444 at 19% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35444 × 19 × 3 / 100 = 20203.08.\n</reasoning>\nFinal Answer: 20203.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -170 mod -680"
},
{
"role": "assistant",
"content": "<reasoning>\n-170 mod -680: -170 = -680 × 0 + -170, so remainder = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -907 + 875"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -907 and 875: -907 + 875 = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 31 = -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 22x = -220. Divide by 22: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×4)/1 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -315 ÷ -760"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -315 by -760. -315 ÷ -760 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 44) * (30 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+44)=82, (30-43)=-13, then 82×-13=-1066.\n</reasoning>\nFinal Answer: -1066"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2496. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2496 × 18/100 = 449.28. Total = 2496 + 449.28 = 2945.28.\n</reasoning>\nFinal Answer: 2945.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 822 km apart. Their speeds are 58 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+61=119 km/h. Time = 822/119 = 6.9076 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 10 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 10/12 = 0.8333.\n</reasoning>\nFinal Answer: 0.8333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 + 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/8 + 14/19. Common denominator = 76. Result = 75/76.\n</reasoning>\nFinal Answer: 75/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 12 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 12x = 108. Divide by 12: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 0 + -759"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 0 and -759: 0 + -759 = -759.\n</reasoning>\nFinal Answer: -759"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -27 = -132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 5x = -105. Divide by 5: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 51, 83, 39, 94, 60, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 39 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 7, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (50-1)×7 = 12 + 343 = 355.\n</reasoning>\nFinal Answer: 355"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -15 = -263"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 8x = -248. Divide by 8: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹560. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 560 × 18/100 = 100.8. Total = 560 + 100.8 = 660.8.\n</reasoning>\nFinal Answer: 660.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 + 7/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/12 + 7/1. Common denominator = 12. Result = 95/12.\n</reasoning>\nFinal Answer: 95/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 406 + -659"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 406 and -659: 406 + -659 = -253.\n</reasoning>\nFinal Answer: -253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:36 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/36, so B = A × (36/10) = 69 × 36/10 = 248.4.\n</reasoning>\nFinal Answer: 248.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -621 - 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 180 from -621: -621 - 180 = -801.\n</reasoning>\nFinal Answer: -801"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -34 = 1376"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 30x = 1410. Divide by 30: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 - 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/16 - 6/3. LCD = 16. Result = -23/16.\n</reasoning>\nFinal Answer: -23/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 730 mod 936"
},
{
"role": "assistant",
"content": "<reasoning>\n730 mod 936: 730 = 936 × 0 + 730, so remainder = 730.\n</reasoning>\nFinal Answer: 730"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [9, 79, 62, 4, 10, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 9, 10, 45, 62, 79]. Middle value(s) → median = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 30% of 37?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 37 = (30/100) × 37 = 11.1.\n</reasoning>\nFinal Answer: 11.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 53, 17, 53, 71, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/6 = 44.6667.\n</reasoning>\nFinal Answer: 44.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 + 8/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/17 + 8/4. Common denominator = 17. Result = 37/17.\n</reasoning>\nFinal Answer: 37/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 589 + -882"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 589 and -882: 589 + -882 = -293.\n</reasoning>\nFinal Answer: -293"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3896. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3896 × 18/100 = 701.28. Total = 3896 + 701.28 = 4597.28.\n</reasoning>\nFinal Answer: 4597.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [10, 16, 17, 18, 19] and B = [3, 7, 8, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [10, 16, 17, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -482 + 613"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -482 and 613: -482 + 613 = 131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 33 = 423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 30x = 390. Divide by 30: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 7 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 38+49-27=60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 107 km apart. Their speeds are 111 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+93=204 km/h. Time = 107/204 = 0.5245 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 407 km apart. Their speeds are 119 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+109=228 km/h. Time = 407/228 = 1.7851 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 10 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 1x = 20. Divide by 1: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 23 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 45+529-42=532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 4 * 21 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×21=84, then 47+84-38=93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 623 - 474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 474 from 623: 623 - 474 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 23 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(23,24) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 12 + 46 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×12=192 and 46×19=874, then add: 1066.\n</reasoning>\nFinal Answer: 1066"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 0 = 748"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 22x = 748. Divide by 22: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 20, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (28-1)×20 = 20 + 540 = 560.\n</reasoning>\nFinal Answer: 560"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -815 × -963"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -815 by -963: -815 × -963 = 784845.\n</reasoning>\nFinal Answer: 784845"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 505 × 423"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 505 by 423: 505 × 423 = 213615.\n</reasoning>\nFinal Answer: 213615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 94 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 94 × 2 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 4, 46, 90, 99, 68, 73, 42, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 4: 1, 46: 1, 90: 1, 99: 1, 68: 1, 73: 1, 42: 1, 53: 1}. Most frequent: [63, 4, 46, 90, 99, 68, 73, 42, 53].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×28)/1 = 1316.\n</reasoning>\nFinal Answer: 1316"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 12 and 3."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(12,3) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹2152. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2152 × 12/100 = 258.24. Total = 2152 + 258.24 = 2410.24.\n</reasoning>\nFinal Answer: 2410.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1767. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1767 × 28/100 = 494.76. Total = 1767 + 494.76 = 2261.76.\n</reasoning>\nFinal Answer: 2261.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 3 apples and buys 37 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 3 + 37 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 + 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/13 + 3/10. Common denominator = 130. Result = 59/130.\n</reasoning>\nFinal Answer: 59/130"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 16, 57, 26, 12, 59, 7, 78, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 12, 16, 26, 57, 59, 73, 75, 78]. Middle value(s) → median = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 - 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/9 - 14/2. LCD = 9. Result = -53/9.\n</reasoning>\nFinal Answer: -53/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -47 = 421"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 18x = 468. Divide by 18: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×14)/2 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:47 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/47, so B = A × (47/6) = 75 × 47/6 = 587.5.\n</reasoning>\nFinal Answer: 587.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -4 = 100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 4x = 104. Divide by 4: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -409 mod 594"
},
{
"role": "assistant",
"content": "<reasoning>\n-409 mod 594: -409 = 594 × -1 + 185, so remainder = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 49 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 26+2401-26=2401.\n</reasoning>\nFinal Answer: 2401"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 150 and 109."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(150,109) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×35)/1 = 1190.\n</reasoning>\nFinal Answer: 1190"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 633 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 633 × (1 - 80/100) = 633 × 0.19999999999999996 = 126.6.\n</reasoning>\nFinal Answer: 126.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 26 = -184"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 15x = -210. Divide by 15: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+64) = 2×80 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -755 + 935"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -755 and 935: -755 + 935 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 702 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 702 × (1 - 10/100) = 702 × 0.9 = 631.8.\n</reasoning>\nFinal Answer: 631.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 9 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 9 = 153 worker-days. New time = 153 / 10 = 15.3 days.\n</reasoning>\nFinal Answer: 15.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -4 = 686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 23x = 690. Divide by 23: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 802 × 567"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 802 by 567: 802 × 567 = 454734.\n</reasoning>\nFinal Answer: 454734"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 29 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 29 = 203 worker-days. New time = 203 / 15 = 13.5333 days.\n</reasoning>\nFinal Answer: 13.5333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 * 39 + 15 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 25×39=975 and 15×9=135, then add: 1110.\n</reasoning>\nFinal Answer: 1110"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -2 = 508"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 15x = 510. Divide by 15: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:27 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/27, so B = A × (27/8) = 53 × 27/8 = 178.875.\n</reasoning>\nFinal Answer: 178.875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -5 × 709"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -5 by 709: -5 × 709 = -3545.\n</reasoning>\nFinal Answer: -3545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 + 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/16 + 13/17. Common denominator = 68. Result = 137/68.\n</reasoning>\nFinal Answer: 137/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 36 = 936.\n</reasoning>\nFinal Answer: 936"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -812 mod -813"
},
{
"role": "assistant",
"content": "<reasoning>\n-812 mod -813: -812 = -813 × 0 + -812, so remainder = -812.\n</reasoning>\nFinal Answer: -812"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 / 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/18) ÷ (7/15) = (11/18) × (15/7) = 55/42.\n</reasoning>\nFinal Answer: 55/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 62, 83, 32, 64, 89, 12, 74, 60, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 26, 32, 59, 60, 62, 64, 74, 83, 89]. Middle value(s) → median = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 69, 60, 93, 79, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 60 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 50, 27, 47, 32, 9, 28, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 344/8 = 43.0.\n</reasoning>\nFinal Answer: 43.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [72, 53, 14, 53, 61, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/6 = 57.6667.\n</reasoning>\nFinal Answer: 57.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:5 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/5, so B = A × (5/43) = 42 × 5/43 = 4.8837.\n</reasoning>\nFinal Answer: 4.8837"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 71 = 1349.\n</reasoning>\nFinal Answer: 1349"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 95, 31, 16, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 310/5 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 60, 76, 60, 59, 50, 1, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 60: 2, 76: 1, 59: 1, 50: 1, 1: 1, 71: 1}. Most frequent: 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"mode"
] |
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