messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 28:48 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/48, so B = A × (48/28) = 29 × 48/28 = 49.7143.\n</reasoning>\nFinal Answer: 49.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 32 * 43 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×43=1376, then 4+1376-50=1330.\n</reasoning>\nFinal Answer: 1330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:38 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/38, so B = A × (38/42) = 5 × 38/42 = 4.5238.\n</reasoning>\nFinal Answer: 4.5238"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -35 = -195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 16x = -160. Divide by 16: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -670 × -161"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -670 by -161: -670 × -161 = 107870.\n</reasoning>\nFinal Answer: 107870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×18)/1 = 846.\n</reasoning>\nFinal Answer: 846"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 18 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 892 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 892 × (1 + 30/100) = 892 × 1.3 = 1159.6.\n</reasoning>\nFinal Answer: 1159.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/11 - 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/11 - 8/2. LCD = 11. Result = -37/11.\n</reasoning>\nFinal Answer: -37/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25356 at 1% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25356 × 1 × 8 / 100 = 2028.48.\n</reasoning>\nFinal Answer: 2028.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -30 = -650"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 20x = -620. Divide by 20: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -24 = 460"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 22x = 484. Divide by 22: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 - 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/14 - 19/13. LCD = 91. Result = -3/91.\n</reasoning>\nFinal Answer: -3/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [35, 48, 1, 44, 43, 3, 16, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 1 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 960 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 960 × (1 + 80/100) = 960 × 1.8 = 1728.0.\n</reasoning>\nFinal Answer: 1728.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -583 × -963"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -583 by -963: -583 × -963 = 561429.\n</reasoning>\nFinal Answer: 561429"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 74 = 3700.0.\n</reasoning>\nFinal Answer: 3700.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:2 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/2, so B = A × (2/46) = 96 × 2/46 = 4.1739.\n</reasoning>\nFinal Answer: 4.1739"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 141 - -864"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -864 from 141: 141 - -864 = 1005.\n</reasoning>\nFinal Answer: 1005"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 6, 8, 76, 25, 19, 96, 37, 17, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 6 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Is 76 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n76 = 2 × 38, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 14 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 14 = 140 worker-days. New time = 140 / 12 = 11.6667 days.\n</reasoning>\nFinal Answer: 11.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "38 is what percentage of 919?"
},
{
"role": "assistant",
"content": "<reasoning>\n(38/919) × 100 = 4.1349%.\n</reasoning>\nFinal Answer: 4.1349%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹617. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 617 × 28/100 = 172.76. Total = 617 + 172.76 = 789.76.\n</reasoning>\nFinal Answer: 789.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 815 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 815 × (1 - 17/100) = 815 × 0.83 = 676.45.\n</reasoning>\nFinal Answer: 676.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 162 apples and buys 157 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 162 + 157 = 319.\n</reasoning>\nFinal Answer: 319"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×45)/5 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -413 ÷ 482"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -413 by 482. -413 ÷ 482 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 392 km apart. Their speeds are 88 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+81=169 km/h. Time = 392/169 = 2.3195 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 392 - 480"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 480 from 392: 392 - 480 = -88.\n</reasoning>\nFinal Answer: -88"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 + 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/3 + 2/1. Common denominator = 3. Result = 14/3.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 42) * (50 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+42)=69, (50-7)=43, then 69×43=2967.\n</reasoning>\nFinal Answer: 2967"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 13, 60, 98, 21, 41, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 13: 1, 60: 1, 98: 2, 21: 1, 41: 1}. Most frequent: 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 47 = 119"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 12x = 72. Divide by 12: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/9 / 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/9) ÷ (14/17) = (13/9) × (17/14) = 221/126.\n</reasoning>\nFinal Answer: 221/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 12, 17] and B = [8, 15, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 7, 8, 12, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 7, 8, 12, 15, 16, 17, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:35 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/35, so B = A × (35/23) = 94 × 35/23 = 143.0435.\n</reasoning>\nFinal Answer: 143.0435"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:31 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/31, so B = A × (31/17) = 15 × 31/17 = 27.3529.\n</reasoning>\nFinal Answer: 27.3529"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -917 - 246"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 246 from -917: -917 - 246 = -1163.\n</reasoning>\nFinal Answer: -1163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [90, 12, 85, 78, 72, 78, 12, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 517/8 = 64.625.\n</reasoning>\nFinal Answer: 64.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 19, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (11-1)×19 = 3 + 190 = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×50)/1 = 450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 8, 11, 12, 14, 15] and B = [1, 9, 10, 13, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 15, 16].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:48 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/48, so B = A × (48/34) = 49 × 48/34 = 69.1765.\n</reasoning>\nFinal Answer: 69.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19318 at 15% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19318 × 15 × 1 / 100 = 2897.7.\n</reasoning>\nFinal Answer: 2897.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 15, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (45-1)×15 = 42 + 660 = 702.\n</reasoning>\nFinal Answer: 702"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 855 × 397"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 855 by 397: 855 × 397 = 339435.\n</reasoning>\nFinal Answer: 339435"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 7, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (46-1)×7 = 33 + 315 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 26 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 25+676-1=700.\n</reasoning>\nFinal Answer: 700"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:37 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/37, so B = A × (37/45) = 82 × 37/45 = 67.4222.\n</reasoning>\nFinal Answer: 67.4222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 705 - 739"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 739 from 705: 705 - 739 = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (30)x + (-135) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 30² - 4×5×-135 = 3600. √discriminant = 60. x = (-(30) ± 60) / (2×5). Solutions: x = 3 or x = -9.\n</reasoning>\nFinal Answer: x = 3 or x = -9"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 9] and B = [1, 2, 4, 9, 10, 12, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 7, 8, 9, 10, 12, 13, 18].\n</reasoning>\nFinal Answer: [1, 2, 4, 7, 8, 9, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 97 = 9118.\n</reasoning>\nFinal Answer: 9118"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 - 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/1 - 14/8. LCD = 4. Result = 53/4.\n</reasoning>\nFinal Answer: 53/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -45 = -695"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 25x = -650. Divide by 25: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 22 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 22 × 3 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:9 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/9, so B = A × (9/48) = 71 × 9/48 = 13.3125.\n</reasoning>\nFinal Answer: 13.3125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [8, 12, 16, 20, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 8 and common difference 4. Next term = 24 + 4 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 17) * (25 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+17)=60, (25-39)=-14, then 60×-14=-840.\n</reasoning>\nFinal Answer: -840"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 357 ÷ 929"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 357 by 929. 357 ÷ 929 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 113 - 687"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 687 from 113: 113 - 687 = -574.\n</reasoning>\nFinal Answer: -574"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 19, 24, 46, 30, 100, 49, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 19: 1, 24: 1, 46: 1, 30: 1, 100: 1, 49: 1, 48: 1}. Most frequent: [53, 19, 24, 46, 30, 100, 49, 48].\n</reasoning>\nFinal Answer: [53, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -22 = -805"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 27x = -783. Divide by 27: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 76 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(76,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 6 * 10 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×10=60, then 34+60-11=83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/14 + 2/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/14 + 2/18. Common denominator = 126. Result = 149/126.\n</reasoning>\nFinal Answer: 149/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 9, 10, 12, 13, 16] and B = [4, 6, 8, 10, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 7, 8, 9, 10, 12, 13, 16].\n</reasoning>\nFinal Answer: [2, 4, 6, 7, 8, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 362 - -875"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -875 from 362: 362 - -875 = 1237.\n</reasoning>\nFinal Answer: 1237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 43 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 43²=1849, then 16+1849-18=1847.\n</reasoning>\nFinal Answer: 1847"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -36 = -749"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 23x = -713. Divide by 23: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 - 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/19 - 7/10. LCD = 190. Result = -63/190.\n</reasoning>\nFinal Answer: -63/190"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -7 = -546"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 11x = -539. Divide by 11: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹30273 at 13% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 30273 × 13 × 6 / 100 = 23612.94.\n</reasoning>\nFinal Answer: 23612.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 5) * (50 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+5)=52, (50-18)=32, then 52×32=1664.\n</reasoning>\nFinal Answer: 1664"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -428 × -712"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -428 by -712: -428 × -712 = 304736.\n</reasoning>\nFinal Answer: 304736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 287 km apart. Their speeds are 60 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+64=124 km/h. Time = 287/124 = 2.3145 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 370 ÷ 183"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 370 by 183. 370 ÷ 183 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 0 = -282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 6x = -282. Divide by 6: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 141 km apart. Their speeds are 101 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 101+111=212 km/h. Time = 141/212 = 0.6651 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 10, 25, 53, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 16, 25, 53, 63]. Middle value(s) → median = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:47 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/47, so B = A × (47/37) = 96 × 47/37 = 121.9459.\n</reasoning>\nFinal Answer: 121.9459"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 38 + 1 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×38=1064 and 1×25=25, then add: 1089.\n</reasoning>\nFinal Answer: 1089"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [42, 32, 32, 62, 22, 67, 82, 59, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 492/9 = 54.6667.\n</reasoning>\nFinal Answer: 54.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 32, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 32 + 39 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 74 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(74+51) = 2×125 = 250.\n</reasoning>\nFinal Answer: 250"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 5, 7, 9, 12, 16] and B = [3, 7, 8, 11, 12, 15, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 8, 9, 11, 15, 16, 17, 18].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 20 and common difference 12, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 20 + (33-1)×12 = 20 + 384 = 404.\n</reasoning>\nFinal Answer: 404"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 / 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/19) ÷ (6/12) = (5/19) × (12/6) = 10/19.\n</reasoning>\nFinal Answer: 10/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 91 and height 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 91 × 100 = 9100.\n</reasoning>\nFinal Answer: 9100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 16 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -891 × -561"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -891 by -561: -891 × -561 = 499851.\n</reasoning>\nFinal Answer: 499851"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -12 = -362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 7x = -350. Divide by 7: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 43 = -67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 5x = -110. Divide by 5: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 73 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(73+99) = 2×172 = 344.\n</reasoning>\nFinal Answer: 344"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 6/2 / 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/2) ÷ (19/17) = (6/2) × (17/19) = 51/19.\n</reasoning>\nFinal Answer: 51/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 100 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 100 × 50 = 5000.\n</reasoning>\nFinal Answer: 5000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 8, 43, 72, 12, 73, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 12, 43, 72, 73, 95, 100]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 16, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (13-1)×16 = 30 + 192 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:13 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/13, so B = A × (13/8) = 66 × 13/8 = 107.25.\n</reasoning>\nFinal Answer: 107.25"
}
] | medium | [
"ratio",
"proportion"
] |
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