messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -20 × -477"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -20 by -477: -20 × -477 = 9540.\n</reasoning>\nFinal Answer: 9540"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 37 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n37 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 32, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 32 + 35 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 1 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 10/11 = 0.9091.\n</reasoning>\nFinal Answer: 0.9091"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: -386 × -146"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -386 by -146: -386 × -146 = 56356.\n</reasoning>\nFinal Answer: 56356"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 754 km apart. Their speeds are 109 km/h and 119 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+119=228 km/h. Time = 754/228 = 3.307 hours.\n</reasoning>\nFinal Ans... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 16 = 1166"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 25x = 1150. Divide by 25: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 27 = 147"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 24x = 120. Divide by 24: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -18 = -58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 10x = -40. Divide by 10: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 27 = 103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 19x = 76. Divide by 19: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 119 apples and buys 110 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 119 + 110 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 300 km apart. Their speeds are 49 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+92=141 km/h. Time = 300/141 = 2.1277 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 8, 11, 12] and B = [7, 11, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 7, 8, 11, 12, 17].\n</reasoning>\nFinal Answer: [4, 5, 6, 7, 8, 11, 12, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -818 ÷ -975"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -818 by -975. -818 ÷ -975 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 37 = -243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 14x = -280. Divide by 14: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+52) = 2×132 = 264.\n</reasoning>\nFinal Answer: 264"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 4 * 40 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×40=160, then 8+160-25=143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 * 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/11) × (3/4) = (18/44) = 9/22 after simplification.\n</reasoning>\nFinal Answer: 9/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 15 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 15 = 30 worker-days. New time = 30 / 15 = 2.0 days.\n</reasoning>\nFinal Answer: 2.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 750 × 878"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 750 by 878: 750 × 878 = 658500.\n</reasoning>\nFinal Answer: 658500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 45 = 243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 22x = 198. Divide by 22: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 37 + 39 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×37=1258 and 39×49=1911, then add: 3169.\n</reasoning>\nFinal Answer: 3169"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/16 - 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/16 - 14/4. LCD = 16. Result = -37/16.\n</reasoning>\nFinal Answer: -37/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 226 ÷ -176"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 226 by -176. 226 ÷ -176 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "239 is what percentage of 638?"
},
{
"role": "assistant",
"content": "<reasoning>\n(239/638) × 100 = 37.4608%.\n</reasoning>\nFinal Answer: 37.4608%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 96."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 96 = 384.\n</reasoning>\nFinal Answer: 384"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -169 ÷ 407"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -169 by 407. -169 ÷ 407 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 15] and B = [5, 8, 9, 12], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 15, 45, 34, 32, 61, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 15: 1, 45: 1, 34: 1, 32: 1, 61: 1, 57: 1}. Most frequent: [58, 15, 45, 34, 32, 61, 57].\n</reasoning>\nFinal Answer: [58, 15, 45, 34, 32, 61... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 36) * (50 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+36)=48, (50-24)=26, then 48×26=1248.\n</reasoning>\nFinal Answer: 1248"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -386 ÷ 151"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -386 by 151. -386 ÷ 151 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:48 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/48, so B = A × (48/2) = 61 × 48/2 = 1464.0.\n</reasoning>\nFinal Answer: 1464.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [40, 88, 49, 51, 38, 15, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {40: 1, 88: 1, 49: 1, 51: 1, 38: 1, 15: 1, 58: 1}. Most frequent: [40, 88, 49, 51, 38, 15, 58].\n</reasoning>\nFinal Answer: [40, 88, 49, 51, 38, 15... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:35 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/35, so B = A × (35/41) = 70 × 35/41 = 59.7561.\n</reasoning>\nFinal Answer: 59.7561"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 3 = -305"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 11x = -308. Divide by 11: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [48, 40, 69, 32, 58, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 69 - 32 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 37 + 18 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×37=962 and 18×2=36, then add: 998.\n</reasoning>\nFinal Answer: 998"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 41 + 32 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×41=1189 and 32×32=1024, then add: 2213.\n</reasoning>\nFinal Answer: 2213"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "81 is what percentage of 404?"
},
{
"role": "assistant",
"content": "<reasoning>\n(81/404) × 100 = 20.0495%.\n</reasoning>\nFinal Answer: 20.0495%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 90 = 6030.\n</reasoning>\nFinal Answer: 6030"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 30 = 250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 20x = 220. Divide by 20: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "26 is what percentage of 773?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/773) × 100 = 3.3635%.\n</reasoning>\nFinal Answer: 3.3635%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 41 * 33 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×33=1353, then 21+1353-8=1366.\n</reasoning>\nFinal Answer: 1366"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 683 × -909"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 683 by -909: 683 × -909 = -620847.\n</reasoning>\nFinal Answer: -620847"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 16, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (15-1)×16 = 23 + 224 = 247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 12, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (23-1)×12 = 23 + 264 = 287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:29 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/29, so B = A × (29/26) = 3 × 29/26 = 3.3462.\n</reasoning>\nFinal Answer: 3.3462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:14 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/14, so B = A × (14/45) = 4 × 14/45 = 1.2444.\n</reasoning>\nFinal Answer: 1.2444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 807 km apart. Their speeds are 73 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 73+105=178 km/h. Time = 807/178 = 4.5337 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹117. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 117 × 12/100 = 14.04. Total = 117 + 14.04 = 131.04.\n</reasoning>\nFinal Answer: 131.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 49 * 11 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×11=539, then 2+539-29=512.\n</reasoning>\nFinal Answer: 512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 329 ÷ 929"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 329 by 929. 329 ÷ 929 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 909 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 909 × (1 + 90/100) = 909 × 1.9 = 1727.1.\n</reasoning>\nFinal Answer: 1727.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 27 = -423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 30x = -450. Divide by 30: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 14, 4, 90, 9, 77, 12, 21, 39, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 4, 9, 12, 14, 21, 37, 39, 77, 90]. Middle value(s) → median = 17.5.\n</reasoning>\nFinal Answer: 17.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 10/19 / 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/19) ÷ (16/4) = (10/19) × (4/16) = 5/38.\n</reasoning>\nFinal Answer: 5/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 - 7/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/11 - 7/14. LCD = 22. Result = 13/22.\n</reasoning>\nFinal Answer: 13/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 12 = -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 24x = -312. Divide by 24: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 11 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 11 = 121 worker-days. New time = 121 / 7 = 17.2857 days.\n</reasoning>\nFinal Answer: 17.2857"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:9 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/9, so B = A × (9/27) = 59 × 9/27 = 19.6667.\n</reasoning>\nFinal Answer: 19.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -29 = 311"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 10x = 340. Divide by 10: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 23 * 20 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×20=460, then 28+460-3=485.\n</reasoning>\nFinal Answer: 485"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -969 - -500"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -500 from -969: -969 - -500 = -469.\n</reasoning>\nFinal Answer: -469"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 359 + -467"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 359 and -467: 359 + -467 = -108.\n</reasoning>\nFinal Answer: -108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 183 apples and buys 180 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 183 + 180 = 363.\n</reasoning>\nFinal Answer: 363"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 6 = -516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 18x = -522. Divide by 18: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 57 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 57 × 11 = 627.\n</reasoning>\nFinal Answer: 627"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 33 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 33 × 40 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 820 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 820 × (1 - 25/100) = 820 × 0.75 = 615.0.\n</reasoning>\nFinal Answer: 615.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 / 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/11) ÷ (15/1) = (6/11) × (1/15) = 2/55.\n</reasoning>\nFinal Answer: 2/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 7 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 7 = 84 worker-days. New time = 84 / 17 = 4.9412 days.\n</reasoning>\nFinal Answer: 4.9412"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 37 = 740.0.\n</reasoning>\nFinal Answer: 740.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 977 × -920"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 977 by -920: 977 × -920 = -898840.\n</reasoning>\nFinal Answer: -898840"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 812 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 812 × (1 + 60/100) = 812 × 1.6 = 1299.2.\n</reasoning>\nFinal Answer: 1299.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 451 - -674"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -674 from 451: 451 - -674 = 1125.\n</reasoning>\nFinal Answer: 1125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 24 + 38 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×24=792 and 38×22=836, then add: 1628.\n</reasoning>\nFinal Answer: 1628"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 4 = -116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 3x = -120. Divide by 3: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 88, 65, 56, 50, 65, 66, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [50, 56, 63, 65, 65, 66, 82, 88]. Middle value(s) → median = 65.0.\n</reasoning>\nFinal Answer: 65.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-70)x + (240) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -70² - 4×5×240 = 100. √discriminant = 10. x = (-(-70) ± 10) / (2×5). Solutions: x = 8 or x = 6.\n</reasoning>\nFinal Answer: x = 8 or x = 6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 44 = 282"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 7x = 238. Divide by 7: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 618 km apart. Their speeds are 106 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+100=206 km/h. Time = 618/206 = 3.0 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 31 + 2 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×31=1364 and 2×5=10, then add: 1374.\n</reasoning>\nFinal Answer: 1374"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 20, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (34-1)×20 = 28 + 660 = 688.\n</reasoning>\nFinal Answer: 688"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 14, 16, 17] and B = [6, 7, 9, 10, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 7, 10, 14, 17].\n</reasoning>\nFinal Answer: [1, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹40846 at 20% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 40846 × 20 × 2 / 100 = 16338.4.\n</reasoning>\nFinal Answer: 16338.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 2 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:13 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/13, so B = A × (13/47) = 31 × 13/47 = 8.5745.\n</reasoning>\nFinal Answer: 8.5745"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:28 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/28, so B = A × (28/20) = 100 × 28/20 = 140.0.\n</reasoning>\nFinal Answer: 140.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -350 + 846"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -350 and 846: -350 + 846 = 496.\n</reasoning>\nFinal Answer: 496"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 442 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 442 × (1 + 5/100) = 442 × 1.05 = 464.1.\n</reasoning>\nFinal Answer: 464.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:24 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/24, so B = A × (24/42) = 1 × 24/42 = 0.5714.\n</reasoning>\nFinal Answer: 0.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 43 * 17 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×17=731, then 5+731-39=697.\n</reasoning>\nFinal Answer: 697"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 37) * (20 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+37)=42, (20-10)=10, then 42×10=420.\n</reasoning>\nFinal Answer: 420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 167 apples and buys 180 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 167 + 180 = 347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 249 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 249 × (1 - 65/100) = 249 × 0.35 = 87.15.\n</reasoning>\nFinal Answer: 87.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [1, 53, 91, 50, 78, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 41, 50, 53, 78, 91]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 926 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 926 × (1 + 80/100) = 926 × 1.8 = 1666.8.\n</reasoning>\nFinal Answer: 1666.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 654 mod 959"
},
{
"role": "assistant",
"content": "<reasoning>\n654 mod 959: 654 = 959 × 0 + 654, so remainder = 654.\n</reasoning>\nFinal Answer: 654"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 197 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 197 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 22 = -104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 14x = -126. Divide by 14: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
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