messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 5x + 9 = 154"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 5x = 145. Divide by 5: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -188 + -318"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -188 and -318: -188 + -318 = -506.\n</reasoning>\nFinal Answer: -506"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 82 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(82,136) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 386 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 386 × (1 - 3/100) = 386 × 0.97 = 374.42.\n</reasoning>\nFinal Answer: 374.42"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:21 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/21, so B = A × (21/4) = 40 × 21/4 = 210.0.\n</reasoning>\nFinal Answer: 210.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -496 × -930"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -496 by -930: -496 × -930 = 461280.\n</reasoning>\nFinal Answer: 461280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 40 = 1900.0.\n</reasoning>\nFinal Answer: 1900.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 35 = -525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 16x = -560. Divide by 16: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 36, 44, 52, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 8. Next term = 60 + 8 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 45 apples and buys 45 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 45 + 45 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -345 - -280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -280 from -345: -345 - -280 = -65.\n</reasoning>\nFinal Answer: -65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 71, 79, 10, 76, 47, 26, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 9, 10, 26, 47, 71, 76, 79]. Middle value(s) → median = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -35 = 19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 18x = 54. Divide by 18: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 42 = 294"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 14x = 252. Divide by 14: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 12, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (23-1)×12 = 48 + 264 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -268 × -56"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -268 by -56: -268 × -56 = 15008.\n</reasoning>\nFinal Answer: 15008"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -216 mod 484"
},
{
"role": "assistant",
"content": "<reasoning>\n-216 mod 484: -216 = 484 × -1 + 268, so remainder = 268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:33 and A = 83, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/33, so B = A × (33/26) = 83 × 33/26 = 105.3462.\n</reasoning>\nFinal Answer: 105.3462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:49 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/49, so B = A × (49/9) = 38 × 49/9 = 206.8889.\n</reasoning>\nFinal Answer: 206.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 15, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (47-1)×15 = 26 + 690 = 716.\n</reasoning>\nFinal Answer: 716"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 38) * (21 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+38)=86, (21-11)=10, then 86×10=860.\n</reasoning>\nFinal Answer: 860"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 * 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/6) × (16/15) = (256/90) = 128/45 after simplification.\n</reasoning>\nFinal Answer: 128/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹2674. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2674 × 12/100 = 320.88. Total = 2674 + 320.88 = 2994.88.\n</reasoning>\nFinal Answer: 2994.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 33, 1, 26, 97, 81, 26, 34, 73, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 1 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -9 = 199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 13x = 208. Divide by 13: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 980 × -700"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 980 by -700: 980 × -700 = -686000.\n</reasoning>\nFinal Answer: -686000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 21 + 25 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×21=273 and 25×27=675, then add: 948.\n</reasoning>\nFinal Answer: 948"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 14, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (31-1)×14 = 33 + 420 = 453.\n</reasoning>\nFinal Answer: 453"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 26 + 13 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×26=728 and 13×35=455, then add: 1183.\n</reasoning>\nFinal Answer: 1183"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:31 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/31, so B = A × (31/38) = 53 × 31/38 = 43.2368.\n</reasoning>\nFinal Answer: 43.2368"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 21 = -348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 9x = -369. Divide by 9: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 329 km apart. Their speeds are 120 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+105=225 km/h. Time = 329/225 = 1.4622 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 23 = 1081.\n</reasoning>\nFinal Answer: 1081"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 79, 89, 20, 75, 54, 1, 52, 93, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 79: 1, 89: 1, 20: 2, 75: 1, 54: 1, 1: 1, 52: 1, 93: 1}. Most frequent: 20.\n</reasoning>\nFinal Answer: 20"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 10 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 10 = 180 worker-days. New time = 180 / 3 = 60.0 days.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/1 - 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/1 - 16/13. LCD = 13. Result = 49/13.\n</reasoning>\nFinal Answer: 49/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 1 ** 2 - 15"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 12+1-15=-2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 40) * (39 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+40)=87, (39-49)=-10, then 87×-10=-870.\n</reasoning>\nFinal Answer: -870"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -24 = 64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 8x = 88. Divide by 8: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "261 is what percentage of 859?"
},
{
"role": "assistant",
"content": "<reasoning>\n(261/859) × 100 = 30.3842%.\n</reasoning>\nFinal Answer: 30.3842%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "244 is what percentage of 776?"
},
{
"role": "assistant",
"content": "<reasoning>\n(244/776) × 100 = 31.4433%.\n</reasoning>\nFinal Answer: 31.4433%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -40 = 704"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 24x = 744. Divide by 24: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 71, 44, 80, 8, 3, 8, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 8, 8, 26, 34, 44, 71, 80]. Middle value(s) → median = 30.0.\n</reasoning>\nFinal Answer: 30.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 56, 28, 7, 36, 40, 60, 71, 32, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 28, 30, 32, 36, 40, 56, 60, 71, 81]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -22 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 1x = -37. Divide by 1: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 + 11/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/6 + 11/2. Common denominator = 6. Result = 47/6.\n</reasoning>\nFinal Answer: 47/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 10, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (41-1)×10 = 26 + 400 = 426.\n</reasoning>\nFinal Answer: 426"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:30 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/30, so B = A × (30/2) = 22 × 30/2 = 330.0.\n</reasoning>\nFinal Answer: 330.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 23 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 23 = 138 worker-days. New time = 138 / 14 = 9.8571 days.\n</reasoning>\nFinal Answer: 9.8571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 3, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (41-1)×3 = 40 + 120 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 99 - -56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -56 from 99: 99 - -56 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -211 + -877"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -211 and -877: -211 + -877 = -1088.\n</reasoning>\nFinal Answer: -1088"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 670 × -642"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 670 by -642: 670 × -642 = -430140.\n</reasoning>\nFinal Answer: -430140"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 7 and 41."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (7×41)/1 = 287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 23 = -642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 19x = -665. Divide by 19: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 11 = -283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 14x = -294. Divide by 14: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 20 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 20 = 100 worker-days. New time = 100 / 18 = 5.5556 days.\n</reasoning>\nFinal Answer: 5.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 19 * 25 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×25=475, then 9+475-4=480.\n</reasoning>\nFinal Answer: 480"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -639 - -77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -77 from -639: -639 - -77 = -562.\n</reasoning>\nFinal Answer: -562"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -219 - -82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -82 from -219: -219 - -82 = -137.\n</reasoning>\nFinal Answer: -137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 387 - -641"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -641 from 387: 387 - -641 = 1028.\n</reasoning>\nFinal Answer: 1028"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 + 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/6 + 11/13. Common denominator = 13. Result = 37/13.\n</reasoning>\nFinal Answer: 37/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 41) * (28 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+41)=43, (28-49)=-21, then 43×-21=-903.\n</reasoning>\nFinal Answer: -903"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:38 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/38, so B = A × (38/38) = 82 × 38/38 = 82.0.\n</reasoning>\nFinal Answer: 82.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 746 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 746 × (1 + 40/100) = 746 × 1.4 = 1044.4.\n</reasoning>\nFinal Answer: 1044.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -43 - -895"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -895 from -43: -43 - -895 = 852.\n</reasoning>\nFinal Answer: 852"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 10 = 941"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 19x = 931. Divide by 19: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 259 km apart. Their speeds are 107 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 107+87=194 km/h. Time = 259/194 = 1.3351 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 25, 98, 77, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 11 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 8 + 17 * 28"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×8=64 and 17×28=476, then add: 540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 + 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/14 + 2/14. Common denominator = 14. Result = 3/14.\n</reasoning>\nFinal Answer: 3/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 73, 89, 47, 61, 79, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 463/7 = 66.1429.\n</reasoning>\nFinal Answer: 66.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "49 is what percentage of 675?"
},
{
"role": "assistant",
"content": "<reasoning>\n(49/675) × 100 = 7.2593%.\n</reasoning>\nFinal Answer: 7.2593%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 82 + 327"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 82 and 327: 82 + 327 = 409.\n</reasoning>\nFinal Answer: 409"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 11, 50 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (11+50) × 14 = 427.0.\n</reasoning>\nFinal Answer: 427.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 288 × -942"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 288 by -942: 288 × -942 = -271296.\n</reasoning>\nFinal Answer: -271296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21111 at 6% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21111 × 6 × 5 / 100 = 6333.3.\n</reasoning>\nFinal Answer: 6333.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -16 - 727"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 727 from -16: -16 - 727 = -743.\n</reasoning>\nFinal Answer: -743"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 - 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/7 - 1/15. LCD = 105. Result = 233/105.\n</reasoning>\nFinal Answer: 233/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 659 km apart. Their speeds are 57 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 57+71=128 km/h. Time = 659/128 = 5.1484 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:6 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/6, so B = A × (6/14) = 26 × 6/14 = 11.1429.\n</reasoning>\nFinal Answer: 11.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/5 * 1/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/5) × (1/20) = (2/100) = 1/50 after simplification.\n</reasoning>\nFinal Answer: 1/50"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 / 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/6) ÷ (1/10) = (16/6) × (10/1) = 80/3.\n</reasoning>\nFinal Answer: 80/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21370 at 6% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21370 × 6 × 4 / 100 = 5128.8.\n</reasoning>\nFinal Answer: 5128.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:11 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/11, so B = A × (11/44) = 78 × 11/44 = 19.5.\n</reasoning>\nFinal Answer: 19.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 469 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 469 × (1 + 5/100) = 469 × 1.05 = 492.45.\n</reasoning>\nFinal Answer: 492.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 + 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/16 + 1/8. Common denominator = 16. Result = 11/16.\n</reasoning>\nFinal Answer: 11/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -20 = 214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 6x = 234. Divide by 6: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:21 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/21, so B = A × (21/4) = 24 × 21/4 = 126.0.\n</reasoning>\nFinal Answer: 126.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 72, 9, 31, 58, 11, 98, 49, 60, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 11, 18, 31, 49, 56, 58, 60, 72, 98]. Middle value(s) → median = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 4 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+4) × 16 = 352.0.\n</reasoning>\nFinal Answer: 352.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 8 + 43 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×8=24 and 43×11=473, then add: 497.\n</reasoning>\nFinal Answer: 497"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 27 = 67"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 1x = 40. Divide by 1: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 676 ÷ -869"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 676 by -869. 676 ÷ -869 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 10 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 26 * 39 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×39=1014, then 47+1014-12=1049.\n</reasoning>\nFinal Answer: 1049"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [82, 33, 10, 75, 96, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {82: 1, 33: 1, 10: 1, 75: 1, 96: 1, 28: 1}. Most frequent: [82, 33, 10, 75, 96, 28].\n</reasoning>\nFinal Answer: [82, 33, 10, 75, 96, 28]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 22 = -484"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 23x = -506. Divide by 23: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 40 * 4 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×4=160, then 11+160-37=134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 9/3 + 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/3 + 7/9. Common denominator = 9. Result = 34/9.\n</reasoning>\nFinal Answer: 34/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
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