messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Is 122 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n122 = 2 × 61, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Decrease 510 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 510 × (1 - 17/100) = 510 × 0.83 = 423.3.\n</reasoning>\nFinal Answer: 423.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 17 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 17 = 255 worker-days. New time = 255 / 19 = 13.4211 days.\n</reasoning>\nFinal Answer: 13.4211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 697 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 697 × (1 - 90/100) = 697 × 0.09999999999999998 = 69.7.\n</reasoning>\nFinal Answer: 69.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:37 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/37, so B = A × (37/45) = 66 × 37/45 = 54.2667.\n</reasoning>\nFinal Answer: 54.2667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 99, 91, 25, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 99: 1, 91: 1, 25: 1, 12: 1}. Most frequent: [33, 99, 91, 25, 12].\n</reasoning>\nFinal Answer: [33, 99, 91, 25, 12]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -23 = 880"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 21x = 903. Divide by 21: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 + 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/17 + 13/2. Common denominator = 34. Result = 257/34.\n</reasoning>\nFinal Answer: 257/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -278 + 929"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -278 and 929: -278 + 929 = 651.\n</reasoning>\nFinal Answer: 651"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 50 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 42+2500-9=2533.\n</reasoning>\nFinal Answer: 2533"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 * 20/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/2) × (20/9) = (200/18) = 100/9 after simplification.\n</reasoning>\nFinal Answer: 100/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 is what percentage of 460?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/460) × 100 = 3.6957%.\n</reasoning>\nFinal Answer: 3.6957%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 15/13 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/13 + 15/18. Common denominator = 78. Result = 155/78.\n</reasoning>\nFinal Answer: 155/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 16 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 16 = 80 worker-days. New time = 80 / 14 = 5.7143 days.\n</reasoning>\nFinal Answer: 5.7143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 71, 52, 47, 40, 55, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 38 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 - 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/6 - 16/9. LCD = 18. Result = 7/18.\n</reasoning>\nFinal Answer: 7/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -500 + 550"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -500 and 550: -500 + 550 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3491. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3491 × 5/100 = 174.55. Total = 3491 + 174.55 = 3665.55.\n</reasoning>\nFinal Answer: 3665.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 169 and 95."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(169,95) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 87 km/h. How far does it travel in 12 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 32/60 = 12.5333 hours. Distance = speed × time = 87 × 12.5333 = 1090.4 km.\n</reasoning>\nFinal Answer: 1090.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 38 = 61"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 23x = 23. Divide by 23: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 31 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 31 × 52 = 1612.\n</reasoning>\nFinal Answer: 1612"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:44 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/44, so B = A × (44/11) = 75 × 44/11 = 300.0.\n</reasoning>\nFinal Answer: 300.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 48 * 18 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×18=864, then 8+864-4=868.\n</reasoning>\nFinal Answer: 868"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 5 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 21/60 = 5.3500 hours. Distance = speed × time = 105 × 5.3500 = 561.75 km.\n</reasoning>\nFinal Answer: 561.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 53, 56, 17, 58, 10, 97, 11, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 11, 17, 30, 35, 53, 56, 58, 97]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 920 - -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from 920: 920 - -36 = 956.\n</reasoning>\nFinal Answer: 956"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [62, 8, 68, 90, 57, 90, 84, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {62: 1, 8: 1, 68: 1, 90: 2, 57: 1, 84: 1, 99: 1}. Most frequent: 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -996 - 493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 493 from -996: -996 - 493 = -1489.\n</reasoning>\nFinal Answer: -1489"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -459 + -350"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -459 and -350: -459 + -350 = -809.\n</reasoning>\nFinal Answer: -809"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 17 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 17 = 306 worker-days. New time = 306 / 6 = 51.0 days.\n</reasoning>\nFinal Answer: 51.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:40 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/40, so B = A × (40/49) = 6 × 40/49 = 4.898.\n</reasoning>\nFinal Answer: 4.898"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:25 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/25, so B = A × (25/22) = 52 × 25/22 = 59.0909.\n</reasoning>\nFinal Answer: 59.0909"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 117 apples and buys 68 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 117 + 68 = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 604 ÷ -884"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 604 by -884. 604 ÷ -884 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 20 = 270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 25x = 250. Divide by 25: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×21)/1 = 714.\n</reasoning>\nFinal Answer: 714"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -398 × 574"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -398 by 574: -398 × 574 = -228452.\n</reasoning>\nFinal Answer: -228452"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 43 = 113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 7x = 70. Divide by 7: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 5 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 33+25-38=20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 60, 59, 21, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 21 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 30 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 30 = 300 worker-days. New time = 300 / 13 = 23.0769 days.\n</reasoning>\nFinal Answer: 23.0769"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -563 mod -917"
},
{
"role": "assistant",
"content": "<reasoning>\n-563 mod -917: -563 = -917 × 0 + -563, so remainder = -563.\n</reasoning>\nFinal Answer: -563"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 613 - 735"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 735 from 613: 613 - 735 = -122.\n</reasoning>\nFinal Answer: -122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 45 ** 2 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 11+2025-8=2028.\n</reasoning>\nFinal Answer: 2028"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -33 = -553"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 13x = -520. Divide by 13: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 47 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+47) × 32 = 816.0.\n</reasoning>\nFinal Answer: 816.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 25 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 25 × 70 = 1750.\n</reasoning>\nFinal Answer: 1750"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 47) * (1 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+47)=93, (1-41)=-40, then 93×-40=-3720.\n</reasoning>\nFinal Answer: -3720"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 950 mod -227"
},
{
"role": "assistant",
"content": "<reasoning>\n950 mod -227: 950 = -227 × -5 + -185, so remainder = -185.\n</reasoning>\nFinal Answer: -185"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 23, 65, 65, 7, 62, 42, 66, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 23: 2, 65: 2, 7: 1, 62: 1, 42: 1, 66: 1}. Most frequent: [23, 65].\n</reasoning>\nFinal Answer: [23, 65]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 + 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/12 + 18/4. Common denominator = 6. Result = 17/3.\n</reasoning>\nFinal Answer: 17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11342 at 4% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11342 × 4 × 3 / 100 = 1361.04.\n</reasoning>\nFinal Answer: 1361.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -2 = -1001"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 27x = -999. Divide by 27: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (20)x + (32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 20² - 4×2×32 = 144. √discriminant = 12. x = (-(20) ± 12) / (2×2). Solutions: x = -2 or x = -8.\n</reasoning>\nFinal Answer: x = -2 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -951 - 664"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 664 from -951: -951 - 664 = -1615.\n</reasoning>\nFinal Answer: -1615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 896 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 896 × (1 - 10/100) = 896 × 0.9 = 806.4.\n</reasoning>\nFinal Answer: 806.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 698 - 855"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 855 from 698: 698 - 855 = -157.\n</reasoning>\nFinal Answer: -157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/15 * 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/15) × (8/2) = (112/30) = 56/15 after simplification.\n</reasoning>\nFinal Answer: 56/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 17 apples and buys 88 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 17 + 88 = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 661 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 661 × (1 + 17/100) = 661 × 1.17 = 773.37.\n</reasoning>\nFinal Answer: 773.37"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 90 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(90+56) = 2×146 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 12 * 47 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×47=564, then 24+564-34=554.\n</reasoning>\nFinal Answer: 554"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 30% of 99?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 99 = (30/100) × 99 = 29.7.\n</reasoning>\nFinal Answer: 29.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 16) * (41 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+16)=65, (41-37)=4, then 65×4=260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 7 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+7) × 13 = 273.0.\n</reasoning>\nFinal Answer: 273.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 97, 23, 46, 30, 41, 59, 54, 57, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 97: 1, 23: 1, 46: 1, 30: 1, 41: 1, 59: 1, 54: 1, 57: 1, 62: 1}. Most frequent: [85, 97, 23, 46, 30, 41, 59, 54, 57, 62].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (29 + 15) * (7 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (29+15)=44, (7-24)=-17, then 44×-17=-748.\n</reasoning>\nFinal Answer: -748"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -44 = -747"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 19x = -703. Divide by 19: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 521 km apart. Their speeds are 52 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 52+114=166 km/h. Time = 521/166 = 3.1386 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 19, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 19 + 22 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 4 = -116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 4x = -120. Divide by 4: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -693 ÷ -881"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -693 by -881. -693 ÷ -881 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [54, 74, 95, 87, 23, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 23 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 9 + 31 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×9=333 and 31×4=124, then add: 457.\n</reasoning>\nFinal Answer: 457"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 245 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 245 × (1 + 25/100) = 245 × 1.25 = 306.25.\n</reasoning>\nFinal Answer: 306.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:27 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/27, so B = A × (27/31) = 54 × 27/31 = 47.0323.\n</reasoning>\nFinal Answer: 47.0323"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 - 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/10 - 6/3. LCD = 5. Result = -7/5.\n</reasoning>\nFinal Answer: -7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 210 mod -462"
},
{
"role": "assistant",
"content": "<reasoning>\n210 mod -462: 210 = -462 × -1 + -252, so remainder = -252.\n</reasoning>\nFinal Answer: -252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 75% of 428?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 428 = (75/100) × 428 = 321.0.\n</reasoning>\nFinal Answer: 321.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -864 mod 159"
},
{
"role": "assistant",
"content": "<reasoning>\n-864 mod 159: -864 = 159 × -6 + 90, so remainder = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -17 = -225"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 16x = -208. Divide by 16: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 46 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 46 × 21 = 966.\n</reasoning>\nFinal Answer: 966"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 663 ÷ 233"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 663 by 233. 663 ÷ 233 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -332 - 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 216 from -332: -332 - 216 = -548.\n</reasoning>\nFinal Answer: -548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/7 / 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/7) ÷ (7/16) = (4/7) × (16/7) = 64/49.\n</reasoning>\nFinal Answer: 64/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 19 = -1315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 29x = -1334. Divide by 29: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [36, 84, 59, 24, 46, 5, 47, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 5 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 838 mod 690"
},
{
"role": "assistant",
"content": "<reasoning>\n838 mod 690: 838 = 690 × 1 + 148, so remainder = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 22 = -26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 1x = -48. Divide by 1: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [14, 85, 42, 54, 87, 56, 54, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {14: 1, 85: 1, 42: 1, 54: 2, 87: 1, 56: 1, 43: 1}. Most frequent: 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -131 ÷ -261"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -131 by -261. -131 ÷ -261 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8267 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8267 × 4 × 8 / 100 = 2645.44.\n</reasoning>\nFinal Answer: 2645.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -907 - 882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 882 from -907: -907 - 882 = -1789.\n</reasoning>\nFinal Answer: -1789"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1608. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1608 × 12/100 = 192.96. Total = 1608 + 192.96 = 1800.96.\n</reasoning>\nFinal Answer: 1800.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 709 ÷ 797"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 709 by 797. 709 ÷ 797 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:47 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/47, so B = A × (47/11) = 35 × 47/11 = 149.5455.\n</reasoning>\nFinal Answer: 149.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 2, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (47-1)×2 = 11 + 92 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 40 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+40) × 22 = 495.0.\n</reasoning>\nFinal Answer: 495.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 4 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | easy | [
"geometry",
"area"
] |
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