messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 7/13 - 19/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/13 - 19/17. LCD = 221. Result = -128/221.\n</reasoning>\nFinal Answer: -128/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:23 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/23, so B = A × (23/47) = 61 × 23/47 = 29.8511.\n</reasoning>\nFinal Answer: 29.8511"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 149 × 213"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 149 by 213: 149 × 213 = 31737.\n</reasoning>\nFinal Answer: 31737"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35369 at 13% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35369 × 13 × 4 / 100 = 18391.88.\n</reasoning>\nFinal Answer: 18391.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 55, 33, 9, 3, 100, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 275/7 = 39.2857.\n</reasoning>\nFinal Answer: 39.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -8 = 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 17x = 34. Divide by 17: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [13, 14, 16] and B = [4, 6, 8, 10, 11, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14].\n</reasoning>\nFinal Answer: [14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -905 - 697"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 697 from -905: -905 - 697 = -1602.\n</reasoning>\nFinal Answer: -1602"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 - 2/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/13 - 2/1. LCD = 13. Result = -25/13.\n</reasoning>\nFinal Answer: -25/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [44, 49, 40, 51, 91, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 25 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -917 ÷ -28"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -917 by -28. -917 ÷ -28 = 32 (integer division).\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 - 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/5 - 17/11. LCD = 55. Result = -52/55.\n</reasoning>\nFinal Answer: -52/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:15 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/15, so B = A × (15/11) = 21 × 15/11 = 28.6364.\n</reasoning>\nFinal Answer: 28.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 43 = -857"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 25x = -900. Divide by 25: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -941 + 34"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -941 and 34: -941 + 34 = -907.\n</reasoning>\nFinal Answer: -907"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 4 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 4 × 25 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 133 - -573"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -573 from 133: 133 - -573 = 706.\n</reasoning>\nFinal Answer: 706"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 907 mod 664"
},
{
"role": "assistant",
"content": "<reasoning>\n907 mod 664: 907 = 664 × 1 + 243, so remainder = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×11)/1 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-30)x + (-200) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×5×-200 = 4900. √discriminant = 70. x = (-(-30) ± 70) / (2×5). Solutions: x = 10 or x = -4.\n</reasoning>\nFinal Answer: x = 10 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 35) * (24 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+35)=61, (24-10)=14, then 61×14=854.\n</reasoning>\nFinal Answer: 854"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [67, 47, 79, 82, 54, 29, 12, 16, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {67: 1, 47: 1, 79: 1, 82: 1, 54: 1, 29: 2, 12: 1, 16: 1}. Most frequent: 29.\n</reasoning>\nFinal Answer: 29"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "212 is what percentage of 694?"
},
{
"role": "assistant",
"content": "<reasoning>\n(212/694) × 100 = 30.5476%.\n</reasoning>\nFinal Answer: 30.5476%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 201 mod -12"
},
{
"role": "assistant",
"content": "<reasoning>\n201 mod -12: 201 = -12 × -17 + -3, so remainder = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 38, 43, 6, 90, 85, 7, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 38: 1, 43: 1, 6: 1, 90: 1, 85: 1, 7: 1, 35: 1}. Most frequent: [95, 38, 43, 6, 90, 85, 7, 35].\n</reasoning>\nFinal Answer: [95, 38, 43, 6... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 28, 42, 67, 98, 85, 54, 86, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 28: 1, 42: 1, 67: 1, 98: 1, 85: 1, 54: 1, 86: 1, 96: 1}. Most frequent: [70, 28, 42, 67, 98, 85, 54, 86, 96].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [18, 18, 67, 90, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 251/5 = 50.2.\n</reasoning>\nFinal Answer: 50.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 11 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 32+121-15=138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 917 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 917 × (1 + 25/100) = 917 × 1.25 = 1146.25.\n</reasoning>\nFinal Answer: 1146.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -32 - -913"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -913 from -32: -32 - -913 = 881.\n</reasoning>\nFinal Answer: 881"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:20 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/20, so B = A × (20/20) = 93 × 20/20 = 93.0.\n</reasoning>\nFinal Answer: 93.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 70, 17, 95, 56, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 17 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 415 ÷ 714"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 415 by 714. 415 ÷ 714 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/11 + 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/11 + 12/8. Common denominator = 22. Result = 73/22.\n</reasoning>\nFinal Answer: 73/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 961 km apart. Their speeds are 40 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+110=150 km/h. Time = 961/150 = 6.4067 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 19 = 607"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 14x = 588. Divide by 14: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 9 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 9 × 69 = 621.\n</reasoning>\nFinal Answer: 621"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 866 + -537"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 866 and -537: 866 + -537 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -11 = 1047"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 23x = 1058. Divide by 23: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 6, find the 43th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (43-1)×6 = 29 + 252 = 281.\n</reasoning>\nFinal Answer: 281"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 23 = -127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 15x = -150. Divide by 15: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 2/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 2/15. LCD = 105. Result = 226/105.\n</reasoning>\nFinal Answer: 226/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹1088. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1088 × 18/100 = 195.84. Total = 1088 + 195.84 = 1283.84.\n</reasoning>\nFinal Answer: 1283.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 9, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (32-1)×9 = 8 + 279 = 287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 582 mod 930"
},
{
"role": "assistant",
"content": "<reasoning>\n582 mod 930: 582 = 930 × 0 + 582, so remainder = 582.\n</reasoning>\nFinal Answer: 582"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:27 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/27, so B = A × (27/20) = 79 × 27/20 = 106.65.\n</reasoning>\nFinal Answer: 106.65"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 619 mod -819"
},
{
"role": "assistant",
"content": "<reasoning>\n619 mod -819: 619 = -819 × -1 + -200, so remainder = -200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 629?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 629 = (5/100) × 629 = 31.45.\n</reasoning>\nFinal Answer: 31.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -907 + -461"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -907 and -461: -907 + -461 = -1368.\n</reasoning>\nFinal Answer: -1368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 26 * 45 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×45=1170, then 25+1170-11=1184.\n</reasoning>\nFinal Answer: 1184"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:24 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/24, so B = A × (24/12) = 86 × 24/12 = 172.0.\n</reasoning>\nFinal Answer: 172.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 20 = 10.0.\n</reasoning>\nFinal Answer: 10.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 - 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/6 - 2/19. LCD = 57. Result = 32/57.\n</reasoning>\nFinal Answer: 32/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 12) * (43 - 22)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+12)=25, (43-22)=21, then 25×21=525.\n</reasoning>\nFinal Answer: 525"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 29 = 971.5.\n</reasoning>\nFinal Answer: 971.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 15 = 495.\n</reasoning>\nFinal Answer: 495"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 276 ÷ 735"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 276 by 735. 276 ÷ 735 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 7, 9, 16, 19] and B = [6, 7, 8, 12, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 4, 9, 16, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 9, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 77, 36, 12, 12, 75, 57, 94, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 553/9 = 61.4444.\n</reasoning>\nFinal Answer: 61.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 11, 13] and B = [2, 4, 6, 12], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 9, 11, 12, 13].\n</reasoning>\nFinal Answer: [2, 4, 6, 9, 11, 12, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 701 mod -532"
},
{
"role": "assistant",
"content": "<reasoning>\n701 mod -532: 701 = -532 × -2 + -363, so remainder = -363.\n</reasoning>\nFinal Answer: -363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 34 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 34 × 18 = 612.\n</reasoning>\nFinal Answer: 612"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 83, 55, 24, 12, 2, 80, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 12, 24, 29, 55, 80, 83, 91]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -7 = 193"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 5x = 200. Divide by 5: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 403?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 403 = (65/100) × 403 = 261.95.\n</reasoning>\nFinal Answer: 261.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 27, 35, 43, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 8. Next term = 51 + 8 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -37 = 587"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 26x = 624. Divide by 26: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 39 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 39 × 74 = 2886.\n</reasoning>\nFinal Answer: 2886"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "685 is what percentage of 930?"
},
{
"role": "assistant",
"content": "<reasoning>\n(685/930) × 100 = 73.6559%.\n</reasoning>\nFinal Answer: 73.6559%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 46 + 45 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×46=1564 and 45×14=630, then add: 2194.\n</reasoning>\nFinal Answer: 2194"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 40 = 15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 25x = -25. Divide by 25: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 19, 81, 95, 17, 64, 44, 66, 67, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 19: 1, 81: 1, 95: 1, 17: 1, 64: 1, 44: 1, 66: 1, 67: 1, 71: 1}. Most frequent: [38, 19, 81, 95, 17, 64, 44, 66, 67, 71].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹4478. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4478 × 18/100 = 806.04. Total = 4478 + 806.04 = 5284.04.\n</reasoning>\nFinal Answer: 5284.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25269 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25269 × 18 × 1 / 100 = 4548.42.\n</reasoning>\nFinal Answer: 4548.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 14 = -360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 17x = -374. Divide by 17: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -816 + 790"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -816 and 790: -816 + 790 = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 46 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 29+2116-43=2102.\n</reasoning>\nFinal Answer: 2102"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 73, 5, 84, 60, 71, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 13, 60, 69, 71, 73, 84]. Middle value(s) → median = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19186 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19186 × 15 × 7 / 100 = 20145.3.\n</reasoning>\nFinal Answer: 20145.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 949 × 641"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 949 by 641: 949 × 641 = 608309.\n</reasoning>\nFinal Answer: 608309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 92 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 92 × 93 = 4278.0.\n</reasoning>\nFinal Answer: 4278.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 12% of 729?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 729 = (12/100) × 729 = 87.48.\n</reasoning>\nFinal Answer: 87.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 817 km apart. Their speeds are 61 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+51=112 km/h. Time = 817/112 = 7.2946 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [38, 2, 5, 52, 38, 75, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 5, 38, 38, 52, 75, 82]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -38 = -720"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 22x = -682. Divide by 22: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "378 is what percentage of 758?"
},
{
"role": "assistant",
"content": "<reasoning>\n(378/758) × 100 = 49.8681%.\n</reasoning>\nFinal Answer: 49.8681%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 / 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/9) ÷ (9/13) = (4/9) × (13/9) = 52/81.\n</reasoning>\nFinal Answer: 52/81"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (54)x + (240) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 54² - 4×3×240 = 36. √discriminant = 6. x = (-(54) ± 6) / (2×3). Solutions: x = -8 or x = -10.\n</reasoning>\nFinal Answer: x = -8 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:17 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/17, so B = A × (17/7) = 60 × 17/7 = 145.7143.\n</reasoning>\nFinal Answer: 145.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 * 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/3) × (8/1) = (152/3) = 152/3 after simplification.\n</reasoning>\nFinal Answer: 152/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 397 ÷ 100"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 397 by 100. 397 ÷ 100 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 43 = -552"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 17x = -595. Divide by 17: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -7 = -105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 2x = -98. Divide by 2: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 98, 53, 44, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 41 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 639 + 205"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 639 and 205: 639 + 205 = 844.\n</reasoning>\nFinal Answer: 844"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 45 = 2137.5.\n</reasoning>\nFinal Answer: 2137.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 181 km/h. How far does it travel in 7 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 25/60 = 7.4167 hours. Distance = speed × time = 181 × 7.4167 = 1342.4167 km.\n</reasoning>\nFinal Answer: 1342.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 41 * 6 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×6=246, then 23+246-16=253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 25 + 45 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×25=850 and 45×20=900, then add: 1750.\n</reasoning>\nFinal Answer: 1750"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 29 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 29 = 319 worker-days. New time = 319 / 16 = 19.9375 days.\n</reasoning>\nFinal Answer: 19.9375"
}
] | medium | [
"word_problem",
"applied_math"
] |
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