messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 48:50 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/50, so B = A × (50/48) = 51 × 50/48 = 53.125.\n</reasoning>\nFinal Answer: 53.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 400 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 400 × (1 - 15/100) = 400 × 0.85 = 340.0.\n</reasoning>\nFinal Answer: 340.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/20 - 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/20 - 5/5. LCD = 20. Result = -1/20.\n</reasoning>\nFinal Answer: -1/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 974 - -403"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -403 from 974: 974 - -403 = 1377.\n</reasoning>\nFinal Answer: 1377"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:24 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/24, so B = A × (24/10) = 26 × 24/10 = 62.4.\n</reasoning>\nFinal Answer: 62.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 773 - -26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from 773: 773 - -26 = 799.\n</reasoning>\nFinal Answer: 799"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 65 = 975.0.\n</reasoning>\nFinal Answer: 975.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 4 = -1171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 25x = -1175. Divide by 25: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:18 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/18, so B = A × (18/15) = 31 × 18/15 = 37.2.\n</reasoning>\nFinal Answer: 37.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18693 at 6% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18693 × 6 × 6 / 100 = 6729.48.\n</reasoning>\nFinal Answer: 6729.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [9, 96, 55, 80, 25, 19, 87, 56, 22, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 9 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 5 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 5 = 25 worker-days. New time = 25 / 2 = 12.5 days.\n</reasoning>\nFinal Answer: 12.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -233 ÷ 319"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -233 by 319. -233 ÷ 319 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -14 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 26x = 0. Divide by 26: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (4)x + (-5) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 4² - 4×1×-5 = 36. √discriminant = 6. x = (-(4) ± 6) / (2×1). Solutions: x = 1 or x = -5.\n</reasoning>\nFinal Answer: x = 1 or x = -5"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 13/18 + 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/18 + 1/3. Common denominator = 18. Result = 19/18.\n</reasoning>\nFinal Answer: 19/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 35 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 43+1225-44=1224.\n</reasoning>\nFinal Answer: 1224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/11 / 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/11) ÷ (2/14) = (3/11) × (14/2) = 21/11.\n</reasoning>\nFinal Answer: 21/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 11 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 26+121-48=99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 18 = 1728.\n</reasoning>\nFinal Answer: 1728"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 922 km apart. Their speeds are 85 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 85+110=195 km/h. Time = 922/195 = 4.7282 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 11, 14, 19] and B = [1, 7, 8, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 11, 19].\n</reasoning>\nFinal Answer: [2, 11, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 36 = -54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 30x = -90. Divide by 30: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1325. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1325 × 28/100 = 371.0. Total = 1325 + 371.0 = 1696.0.\n</reasoning>\nFinal Answer: 1696.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 27 = 1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 1x = -26. Divide by 1: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 10, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (37-1)×10 = 40 + 360 = 400.\n</reasoning>\nFinal Answer: 400"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 14, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (31-1)×14 = 43 + 420 = 463.\n</reasoning>\nFinal Answer: 463"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -959 × 424"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -959 by 424: -959 × 424 = -406616.\n</reasoning>\nFinal Answer: -406616"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -760 × -42"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -760 by -42: -760 × -42 = 31920.\n</reasoning>\nFinal Answer: 31920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 348 km apart. Their speeds are 43 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+100=143 km/h. Time = 348/143 = 2.4336 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×11)/1 = 495.\n</reasoning>\nFinal Answer: 495"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 481 - -824"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -824 from 481: 481 - -824 = 1305.\n</reasoning>\nFinal Answer: 1305"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -243 + -150"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -243 and -150: -243 + -150 = -393.\n</reasoning>\nFinal Answer: -393"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 15, 16, 17, 19] and B = [10, 11, 13, 15, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 8, 10, 11, 13, 19].\n</reasoning>\nF... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 37 + 42 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×37=1665 and 42×47=1974, then add: 3639.\n</reasoning>\nFinal Answer: 3639"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [95, 35, 93, 41, 54, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {95: 1, 35: 1, 93: 1, 41: 1, 54: 1, 86: 1}. Most frequent: [95, 35, 93, 41, 54, 86].\n</reasoning>\nFinal Answer: [95, 35, 93, 41, 54, 86]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 14 = -1078"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 26x = -1092. Divide by 26: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -34 = 206"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 20x = 240. Divide by 20: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 80% of 287?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 287 = (80/100) × 287 = 229.6.\n</reasoning>\nFinal Answer: 229.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -39 = 633"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 14x = 672. Divide by 14: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/9 - 16/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/9 - 16/9. LCD = 9. Result = -2/3.\n</reasoning>\nFinal Answer: -2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 92, 72, 87, 70, 8, 12, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 8 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 16, 19, 22, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 3. Next term = 25 + 3 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 52."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 52 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹3881. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3881 × 5/100 = 194.05. Total = 3881 + 194.05 = 4075.05.\n</reasoning>\nFinal Answer: 4075.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -780 + 359"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -780 and 359: -780 + 359 = -421.\n</reasoning>\nFinal Answer: -421"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 199."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,199) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹2377. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2377 × 5/100 = 118.85. Total = 2377 + 118.85 = 2495.85.\n</reasoning>\nFinal Answer: 2495.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 40) * (14 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+40)=58, (14-27)=-13, then 58×-13=-754.\n</reasoning>\nFinal Answer: -754"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 24 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 24 × 34 = 408.0.\n</reasoning>\nFinal Answer: 408.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 6, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (34-1)×6 = 43 + 198 = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 59, 31, 7, 83, 36, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 31, 36, 59, 63, 68, 83]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 24) * (6 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+24)=60, (6-42)=-36, then 60×-36=-2160.\n</reasoning>\nFinal Answer: -2160"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 38 + 7 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×38=608 and 7×33=231, then add: 839.\n</reasoning>\nFinal Answer: 839"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 67, 16, 78, 47, 10, 63, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 78 - 10 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 1 + 45 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×1=35 and 45×34=1530, then add: 1565.\n</reasoning>\nFinal Answer: 1565"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 * 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/19) × (12/4) = (72/76) = 18/19 after simplification.\n</reasoning>\nFinal Answer: 18/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 8 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+8) × 50 = 275.0.\n</reasoning>\nFinal Answer: 275.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 94, 51, 41, 37, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 37 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 9, 3 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (9+3) × 4 = 24.0.\n</reasoning>\nFinal Answer: 24.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/11 + 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/11 + 14/8. Common denominator = 4. Result = 11/4.\n</reasoning>\nFinal Answer: 11/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 95 km/h. How far does it travel in 4 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 37/60 = 4.6167 hours. Distance = speed × time = 95 × 4.6167 = 438.5833 km.\n</reasoning>\nFinal Answer: 438.5833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 32 = 113"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 3x = 81. Divide by 3: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -138 ÷ 532"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -138 by 532. -138 ÷ 532 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -19 = -1031"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 22x = -1012. Divide by 22: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 769 × -716"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 769 by -716: 769 × -716 = -550604.\n</reasoning>\nFinal Answer: -550604"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 67, 5, 21, 46, 6, 92, 21, 7, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 6, 7, 18, 21, 21, 46, 67, 71, 92]. Middle value(s) → median = 21.0.\n</reasoning>\nFinal Answer: 21.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 784 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 784 × (1 - 45/100) = 784 × 0.55 = 431.2.\n</reasoning>\nFinal Answer: 431.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:35 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/35, so B = A × (35/48) = 27 × 35/48 = 19.6875.\n</reasoning>\nFinal Answer: 19.6875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 17% of 271?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 271 = (17/100) × 271 = 46.07.\n</reasoning>\nFinal Answer: 46.07"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 + 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/15 + 8/8. Common denominator = 15. Result = 28/15.\n</reasoning>\nFinal Answer: 28/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 328."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 328 by smallest primes repeatedly: 328 = 2 × 2 × 2 × 41.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 41"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:45 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/45, so B = A × (45/1) = 79 × 45/1 = 3555.0.\n</reasoning>\nFinal Answer: 3555.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -24 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 30x = -60. Divide by 30: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 12, 17, 18] and B = [7, 8, 10, 13, 14, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 7, 8, 10, 12, 13, 14, 15, 17, 18].\n</reasoning>\nFinal Answer: [6, 7, 8, 10... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:11 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/11, so B = A × (11/8) = 8 × 11/8 = 11.0.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1485. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1485 × 28/100 = 415.8. Total = 1485 + 415.8 = 1900.8.\n</reasoning>\nFinal Answer: 1900.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 44 = 4048.\n</reasoning>\nFinal Answer: 4048"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 35, 47, 59, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 12. Next term = 71 + 12 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 34 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 7x = -168. Divide by 7: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 856 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 856 × (1 + 5/100) = 856 × 1.05 = 898.8.\n</reasoning>\nFinal Answer: 898.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 43 = -8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 3x = -51. Divide by 3: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 19, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (31-1)×19 = 21 + 570 = 591.\n</reasoning>\nFinal Answer: 591"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 * 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/1) × (7/5) = (42/5) = 42/5 after simplification.\n</reasoning>\nFinal Answer: 42/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 38 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+38) × 42 = 1743.0.\n</reasoning>\nFinal Answer: 1743.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 19 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 19 = 304 worker-days. New time = 304 / 8 = 38.0 days.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (25)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 25² - 4×5×20 = 225. √discriminant = 15. x = (-(25) ± 15) / (2×5). Solutions: x = -1 or x = -4.\n</reasoning>\nFinal Answer: x = -1 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 26 + 29 * 13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×26=1040 and 29×13=377, then add: 1417.\n</reasoning>\nFinal Answer: 1417"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "28 is what percentage of 590?"
},
{
"role": "assistant",
"content": "<reasoning>\n(28/590) × 100 = 4.7458%.\n</reasoning>\nFinal Answer: 4.7458%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:39 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/39, so B = A × (39/22) = 79 × 39/22 = 140.0455.\n</reasoning>\nFinal Answer: 140.0455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 750 × -43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 750 by -43: 750 × -43 = -32250.\n</reasoning>\nFinal Answer: -32250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 308 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 308 × (1 + 40/100) = 308 × 1.4 = 431.2.\n</reasoning>\nFinal Answer: 431.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 257 km apart. Their speeds are 80 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+114=194 km/h. Time = 257/194 = 1.3247 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 192 km/h. How far does it travel in 5 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 15/60 = 5.2500 hours. Distance = speed × time = 192 × 5.2500 = 1008.0 km.\n</reasoning>\nFinal Answer: 1008.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -31 = 309"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 17x = 340. Divide by 17: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 35 = -1207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 27x = -1242. Divide by 27: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:45 and A = 79, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/45, so B = A × (45/42) = 79 × 45/42 = 84.6429.\n</reasoning>\nFinal Answer: 84.6429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:6 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/6, so B = A × (6/46) = 53 × 6/46 = 6.913.\n</reasoning>\nFinal Answer: 6.913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 58, 12, 84, 25, 44, 100, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 2, 58: 1, 12: 1, 84: 1, 25: 1, 44: 1, 100: 1}. Most frequent: 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -768 + 286"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -768 and 286: -768 + 286 = -482.\n</reasoning>\nFinal Answer: -482"
}
] | medium | [
"arithmetic",
"computation"
] |
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