messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 18x + -31 = 833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 18x = 864. Divide by 18: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/1 - 3/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/1 - 3/7. LCD = 7. Result = 95/7.\n</reasoning>\nFinal Answer: 95/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 30) * (37 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+30)=42, (37-17)=20, then 42×20=840.\n</reasoning>\nFinal Answer: 840"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 52 = 5044.\n</reasoning>\nFinal Answer: 5044"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 25 = -915"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 20x = -940. Divide by 20: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 432 - -455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -455 from 432: 432 - -455 = 887.\n</reasoning>\nFinal Answer: 887"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 55 km/h. How far does it travel in 7 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 23/60 = 7.3833 hours. Distance = speed × time = 55 × 7.3833 = 406.0833 km.\n</reasoning>\nFinal Answer: 406.0833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×28)/1 = 1204.\n</reasoning>\nFinal Answer: 1204"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -36 = 437"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 11x = 473. Divide by 11: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -21 = 1059"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 24x = 1080. Divide by 24: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:8 and A = 21, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/8, so B = A × (8/36) = 21 × 8/36 = 4.6667.\n</reasoning>\nFinal Answer: 4.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 347 km apart. Their speeds are 64 km/h and 82 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 64+82=146 km/h. Time = 347/146 = 2.3767 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 / 20/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/5) ÷ (20/19) = (17/5) × (19/20) = 323/100.\n</reasoning>\nFinal Answer: 323/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:25 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/25, so B = A × (25/17) = 3 × 25/17 = 4.4118.\n</reasoning>\nFinal Answer: 4.4118"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -462 × -70"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -462 by -70: -462 × -70 = 32340.\n</reasoning>\nFinal Answer: 32340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 3 = 245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 22x = 242. Divide by 22: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×17)/1 = 782.\n</reasoning>\nFinal Answer: 782"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 8 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 12x = 120. Divide by 12: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 41 * 22 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×22=902, then 43+902-34=911.\n</reasoning>\nFinal Answer: 911"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Is 135 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n135 = 3 × 45, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -15 = 87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 6x = 102. Divide by 6: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -6 = 318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 9x = 324. Divide by 9: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 19."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 19 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -866 ÷ -578"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -866 by -578. -866 ÷ -578 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -16 = -236"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 22x = -220. Divide by 22: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -748 ÷ -52"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -748 by -52. -748 ÷ -52 = 14 (integer division).\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 8, 100, 18, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 8: 1, 100: 1, 18: 1, 77: 1}. Most frequent: [43, 8, 100, 18, 77].\n</reasoning>\nFinal Answer: [43, 8, 100, 18, 77]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -628 ÷ -396"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -628 by -396. -628 ÷ -396 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -251 mod -433"
},
{
"role": "assistant",
"content": "<reasoning>\n-251 mod -433: -251 = -433 × 0 + -251, so remainder = -251.\n</reasoning>\nFinal Answer: -251"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 92, 78, 43, 29, 81, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 92: 1, 78: 1, 43: 1, 29: 1, 81: 1, 33: 1}. Most frequent: [94, 92, 78, 43, 29, 81, 33].\n</reasoning>\nFinal Answer: [94, 92, 78, 43, 29, 81... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:27 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/27, so B = A × (27/21) = 19 × 27/21 = 24.4286.\n</reasoning>\nFinal Answer: 24.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 * 2/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/6) × (2/8) = (2/48) = 1/24 after simplification.\n</reasoning>\nFinal Answer: 1/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -228 - -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -58 from -228: -228 - -58 = -170.\n</reasoning>\nFinal Answer: -170"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 20 = -816"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 19x = -836. Divide by 19: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 100% of 183?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 183 = (100/100) × 183 = 183.0.\n</reasoning>\nFinal Answer: 183.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:3 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/3, so B = A × (3/50) = 32 × 3/50 = 1.92.\n</reasoning>\nFinal Answer: 1.92"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 14 * 15 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×15=210, then 23+210-43=190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 68 and width 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 68 × 87 = 5916.\n</reasoning>\nFinal Answer: 5916"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 - 19/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/19 - 19/1. LCD = 19. Result = -344/19.\n</reasoning>\nFinal Answer: -344/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:49 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/49, so B = A × (49/30) = 47 × 49/30 = 76.7667.\n</reasoning>\nFinal Answer: 76.7667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 311 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 311 × (1 + 7/100) = 311 × 1.07 = 332.77.\n</reasoning>\nFinal Answer: 332.77"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 34) * (29 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+34)=82, (29-31)=-2, then 82×-2=-164.\n</reasoning>\nFinal Answer: -164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 46 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 2x = -36. Divide by 2: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 + 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/5 + 1/3. Common denominator = 15. Result = 62/15.\n</reasoning>\nFinal Answer: 62/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:42 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/42, so B = A × (42/4) = 25 × 42/4 = 262.5.\n</reasoning>\nFinal Answer: 262.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 9, 11, 13, 15, 17] and B = [2, 7, 8, 9, 14, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 11, 13, 15, 17].\n</reasoning>\nFinal Answer: [5, 11, 13, 15, 17... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 548 mod -832"
},
{
"role": "assistant",
"content": "<reasoning>\n548 mod -832: 548 = -832 × -1 + -284, so remainder = -284.\n</reasoning>\nFinal Answer: -284"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 35 * 45 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×45=1575, then 23+1575-37=1561.\n</reasoning>\nFinal Answer: 1561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 40 = 1055"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 29x = 1015. Divide by 29: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 70% of 601?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 601 = (70/100) × 601 = 420.7.\n</reasoning>\nFinal Answer: 420.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 72 apples and buys 99 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 72 + 99 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 165 mod -523"
},
{
"role": "assistant",
"content": "<reasoning>\n165 mod -523: 165 = -523 × -1 + -358, so remainder = -358.\n</reasoning>\nFinal Answer: -358"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 16 = 368.0.\n</reasoning>\nFinal Answer: 368.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 10) * (46 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+10)=17, (46-12)=34, then 17×34=578.\n</reasoning>\nFinal Answer: 578"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 / 9/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/9) ÷ (9/9) = (10/9) × (9/9) = 10/9.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 11, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (41-1)×11 = 49 + 440 = 489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹12853 at 2% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 12853 × 2 × 6 / 100 = 1542.36.\n</reasoning>\nFinal Answer: 1542.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -731 × -430"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -731 by -430: -731 × -430 = 314330.\n</reasoning>\nFinal Answer: 314330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/3 + 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/3 + 13/14. Common denominator = 42. Result = 179/42.\n</reasoning>\nFinal Answer: 179/42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 20, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (19-1)×20 = 23 + 360 = 383.\n</reasoning>\nFinal Answer: 383"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 31, 23, 85, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 291/5 = 58.2.\n</reasoning>\nFinal Answer: 58.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹4388. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4388 × 18/100 = 789.84. Total = 4388 + 789.84 = 5177.84.\n</reasoning>\nFinal Answer: 5177.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 353 mod 957"
},
{
"role": "assistant",
"content": "<reasoning>\n353 mod 957: 353 = 957 × 0 + 353, so remainder = 353.\n</reasoning>\nFinal Answer: 353"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [15, 16, 19] and B = [2, 5, 12, 13, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 12, 13, 14, 15, 16, 18, 19].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:10 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/10, so B = A × (10/24) = 46 × 10/24 = 19.1667.\n</reasoning>\nFinal Answer: 19.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 5% of 396?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 396 = (5/100) × 396 = 19.8.\n</reasoning>\nFinal Answer: 19.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/10 * 19/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/10) × (19/13) = (342/130) = 171/65 after simplification.\n</reasoning>\nFinal Answer: 171/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 114 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 114 = 314.\n</reasoning>\nFinal Answer: 314"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 923 km apart. Their speeds are 85 km/h and 111 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+111=196 km/h. Time = 923/196 = 4.7092 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 76 and height 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 76 × 43 = 1634.0.\n</reasoning>\nFinal Answer: 1634.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×18)/6 = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 92 = 7820.\n</reasoning>\nFinal Answer: 7820"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:23 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/23, so B = A × (23/22) = 17 × 23/22 = 17.7727.\n</reasoning>\nFinal Answer: 17.7727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 169 km/h. How far does it travel in 1 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 48/60 = 1.8000 hours. Distance = speed × time = 169 × 1.8000 = 304.2 km.\n</reasoning>\nFinal Answer: 304.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 * 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/16) × (4/13) = (48/208) = 3/13 after simplification.\n</reasoning>\nFinal Answer: 3/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/16 * 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/16) × (6/8) = (108/128) = 27/32 after simplification.\n</reasoning>\nFinal Answer: 27/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 293 mod 84"
},
{
"role": "assistant",
"content": "<reasoning>\n293 mod 84: 293 = 84 × 3 + 41, so remainder = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 618 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 618 × (1 - 17/100) = 618 × 0.83 = 512.94.\n</reasoning>\nFinal Answer: 512.94"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 33 + 22 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×33=429 and 22×32=704, then add: 1133.\n</reasoning>\nFinal Answer: 1133"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 87 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 87 × 6 = 261.0.\n</reasoning>\nFinal Answer: 261.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×18)/1 = 666.\n</reasoning>\nFinal Answer: 666"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -49 = 111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 16x = 160. Divide by 16: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 2 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(2,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:42 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/42, so B = A × (42/37) = 11 × 42/37 = 12.4865.\n</reasoning>\nFinal Answer: 12.4865"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 77, 32, 29, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 248/5 = 49.6.\n</reasoning>\nFinal Answer: 49.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "141 is what percentage of 409?"
},
{
"role": "assistant",
"content": "<reasoning>\n(141/409) × 100 = 34.4743%.\n</reasoning>\nFinal Answer: 34.4743%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 626 × 90"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 626 by 90: 626 × 90 = 56340.\n</reasoning>\nFinal Answer: 56340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 38, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 38 + 40 = 101.\n</reasoning>\nFinal Answer: 101"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 40 + 22 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×40=800 and 22×29=638, then add: 1438.\n</reasoning>\nFinal Answer: 1438"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 - 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/18 - 6/12. LCD = 6. Result = 1/3.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 627 mod -27"
},
{
"role": "assistant",
"content": "<reasoning>\n627 mod -27: 627 = -27 × -24 + -21, so remainder = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 11 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 8+121-25=104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 302 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 302 × (1 + 20/100) = 302 × 1.2 = 362.4.\n</reasoning>\nFinal Answer: 362.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 459."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 459 by smallest primes repeatedly: 459 = 3 × 3 × 3 × 17.\n</reasoning>\nFinal Answer: 3 × 3 × 3 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 46 + 48 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×46=1610 and 48×5=240, then add: 1850.\n</reasoning>\nFinal Answer: 1850"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 930 km apart. Their speeds are 78 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 78+61=139 km/h. Time = 930/139 = 6.6906 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 16, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (35-1)×16 = 23 + 544 = 567.\n</reasoning>\nFinal Answer: 567"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 286."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 286 by smallest primes repeatedly: 286 = 2 × 11 × 13.\n</reasoning>\nFinal Answer: 2 × 11 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 92, 37, 48, 41, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 4 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 95 = 8265.\n</reasoning>\nFinal Answer: 8265"
}
] | easy | [
"geometry",
"area"
] |
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