messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 151 apples and buys 35 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 151 + 35 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -935 ÷ 561"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -935 by 561. -935 ÷ 561 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 198."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 198 by smallest primes repeatedly: 198 = 2 × 3 × 3 × 11.\n</reasoning>\nFinal Answer: 2 × 3 × 3 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [4, 8, 16, 32, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is a geometric sequence with first term 4 and ratio 2. Next term = 64 × 2 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"sequences",
"geometric_progression"
] |
[
{
"role": "user",
"content": "Decrease 607 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 607 × (1 - 100/100) = 607 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 91, 38, 43, 52, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [38, 43, 43, 52, 74, 91]. Middle value(s) → median = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -12 = -320"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 28x = -308. Divide by 28: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [47, 36, 21, 35, 2, 90, 44, 30, 57, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 21, 30, 35, 36, 44, 47, 57, 90, 93]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 185 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 185 × (1 + 35/100) = 185 × 1.35 = 249.75.\n</reasoning>\nFinal Answer: 249.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 27, 5, 19, 36, 24, 22, 29, 9, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 9, 19, 22, 24, 27, 29, 36, 41, 43]. Middle value(s) → median = 25.5.\n</reasoning>\nFinal Answer: 25.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "719 is what percentage of 794?"
},
{
"role": "assistant",
"content": "<reasoning>\n(719/794) × 100 = 90.5542%.\n</reasoning>\nFinal Answer: 90.5542%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 * 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/14) × (14/10) = (70/140) = 1/2 after simplification.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -751 - 755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 755 from -751: -751 - 755 = -1506.\n</reasoning>\nFinal Answer: -1506"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 21 = -251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 8x = -272. Divide by 8: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 984 - -249"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -249 from 984: 984 - -249 = 1233.\n</reasoning>\nFinal Answer: 1233"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [29, 47, 65, 83, 101]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 29 and common difference 18. Next term = 101 + 18 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 8/9 + 17/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/9 + 17/9. Common denominator = 9. Result = 25/9.\n</reasoning>\nFinal Answer: 25/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -221 - 122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 122 from -221: -221 - 122 = -343.\n</reasoning>\nFinal Answer: -343"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 63, 98, 61, 23, 85, 71, 39, 75, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 63: 1, 98: 1, 61: 1, 23: 1, 85: 1, 71: 1, 39: 1, 75: 1, 59: 1}. Most frequent: [43, 63, 98, 61, 23, 85, 71, 39, 75, 59].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 165 km/h. How far does it travel in 5 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 24/60 = 5.4000 hours. Distance = speed × time = 165 × 5.4000 = 891.0 km.\n</reasoning>\nFinal Answer: 891.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -50 = 1014"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 28x = 1064. Divide by 28: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -47 = 265"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 12x = 312. Divide by 12: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 78 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 78 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 19 * 31 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×31=589, then 9+589-30=568.\n</reasoning>\nFinal Answer: 568"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:2 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/2, so B = A × (2/6) = 33 × 2/6 = 11.0.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 48 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 48 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1336. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1336 × 12/100 = 160.32. Total = 1336 + 160.32 = 1496.32.\n</reasoning>\nFinal Answer: 1496.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (75)x + (250) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 75² - 4×5×250 = 625. √discriminant = 25. x = (-(75) ± 25) / (2×5). Solutions: x = -5 or x = -10.\n</reasoning>\nFinal Answer: x = -5 or x = -10... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 12, find the 10th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (10-1)×12 = 22 + 108 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 12, 15, and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 12 + 15 + 22 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:32 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/32, so B = A × (32/5) = 18 × 32/5 = 115.2.\n</reasoning>\nFinal Answer: 115.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 - 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/16 - 5/7. LCD = 112. Result = 25/112.\n</reasoning>\nFinal Answer: 25/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -961 mod -426"
},
{
"role": "assistant",
"content": "<reasoning>\n-961 mod -426: -961 = -426 × 2 + -109, so remainder = -109.\n</reasoning>\nFinal Answer: -109"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 48 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(48,21) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -3 = -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 1x = -31. Divide by 1: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 9, 14, 16, 18] and B = [1, 11, 12, 14, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 7, 9, 18].\n</reasoning>\nFinal Answer: [2, 5, 7, 9, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 312 - 311"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 311 from 312: 312 - 311 = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹292. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 292 × 28/100 = 81.76. Total = 292 + 81.76 = 373.76.\n</reasoning>\nFinal Answer: 373.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:15 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/15, so B = A × (15/32) = 23 × 15/32 = 10.7812.\n</reasoning>\nFinal Answer: 10.7812"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 45 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 45 × 32 = 720.0.\n</reasoning>\nFinal Answer: 720.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/15 * 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/15) × (7/18) = (105/270) = 7/18 after simplification.\n</reasoning>\nFinal Answer: 7/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:38 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/38, so B = A × (38/49) = 84 × 38/49 = 65.1429.\n</reasoning>\nFinal Answer: 65.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -6 = -116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 11x = -110. Divide by 11: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 19 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+19) × 25 = 462.5.\n</reasoning>\nFinal Answer: 462.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 608 km apart. Their speeds are 58 km/h and 80 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+80=138 km/h. Time = 608/138 = 4.4058 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 65 mod 286"
},
{
"role": "assistant",
"content": "<reasoning>\n65 mod 286: 65 = 286 × 0 + 65, so remainder = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 - 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/13 - 10/4. LCD = 26. Result = -59/26.\n</reasoning>\nFinal Answer: -59/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -580 + 579"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -580 and 579: -580 + 579 = -1.\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 751 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 751 × (1 + 100/100) = 751 × 2.0 = 1502.0.\n</reasoning>\nFinal Answer: 1502.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 39 = 471"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 12x = 432. Divide by 12: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 96 apples and buys 162 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 96 + 162 = 258.\n</reasoning>\nFinal Answer: 258"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -13 = -27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 7x = -14. Divide by 7: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,18) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 497 mod 699"
},
{
"role": "assistant",
"content": "<reasoning>\n497 mod 699: 497 = 699 × 0 + 497, so remainder = 497.\n</reasoning>\nFinal Answer: 497"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 46 km/h. How far does it travel in 12 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 6/60 = 12.1000 hours. Distance = speed × time = 46 × 12.1000 = 556.6 km.\n</reasoning>\nFinal Answer: 556.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 66 = 1584.\n</reasoning>\nFinal Answer: 1584"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 852 ÷ -431"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 852 by -431. 852 ÷ -431 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -103 + 533"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -103 and 533: -103 + 533 = 430.\n</reasoning>\nFinal Answer: 430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 194 km/h. How far does it travel in 9 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 47/60 = 9.7833 hours. Distance = speed × time = 194 × 9.7833 = 1897.9667 km.\n</reasoning>\nFinal Answer: 1897.9667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 14, 9, 47, 61, 35, 93, 51, 88, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 550/10 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 10."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×10)/2 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 45 * 36 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×36=1620, then 9+1620-35=1594.\n</reasoning>\nFinal Answer: 1594"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 117 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(117,19) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 72 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 72 × 29 = 1044.0.\n</reasoning>\nFinal Answer: 1044.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "498 is what percentage of 657?"
},
{
"role": "assistant",
"content": "<reasoning>\n(498/657) × 100 = 75.7991%.\n</reasoning>\nFinal Answer: 75.7991%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 2) * (48 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+2)=47, (48-4)=44, then 47×44=2068.\n</reasoning>\nFinal Answer: 2068"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -357 - 267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 267 from -357: -357 - 267 = -624.\n</reasoning>\nFinal Answer: -624"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 38 * 30 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×30=1140, then 12+1140-24=1128.\n</reasoning>\nFinal Answer: 1128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 270 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 270 × (1 + 75/100) = 270 × 1.75 = 472.5.\n</reasoning>\nFinal Answer: 472.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 2, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (29-1)×2 = 3 + 56 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 14 * 41 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×41=574, then 24+574-4=594.\n</reasoning>\nFinal Answer: 594"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:15 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/15, so B = A × (15/2) = 40 × 15/2 = 300.0.\n</reasoning>\nFinal Answer: 300.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -858 - 239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 239 from -858: -858 - 239 = -1097.\n</reasoning>\nFinal Answer: -1097"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:17 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/17, so B = A × (17/44) = 71 × 17/44 = 27.4318.\n</reasoning>\nFinal Answer: 27.4318"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25953 at 15% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25953 × 15 × 7 / 100 = 27250.65.\n</reasoning>\nFinal Answer: 27250.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 52, 89, 77, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 1 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 639 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 639 × (1 + 100/100) = 639 × 2.0 = 1278.0.\n</reasoning>\nFinal Answer: 1278.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [18, 18, 87, 52, 72, 11, 28, 12, 64, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 18, 18, 28, 52, 53, 64, 72, 87]. Middle value(s) → median = 40.0.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 17] and B = [4, 8, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 10, 17].\n</reasoning>\nFinal Answer: [3, 10, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (3)x + (-90) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 3² - 4×3×-90 = 1089. √discriminant = 33. x = (-(3) ± 33) / (2×3). Solutions: x = 5 or x = -6.\n</reasoning>\nFinal Answer: x = 5 or x = -6"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 136 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(136,32) = 8.\n</reasoning>\nFinal Answer: 8"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 412 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 412 × (1 - 7/100) = 412 × 0.9299999999999999 = 383.16.\n</reasoning>\nFinal Answer: 383.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -134 × -65"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -134 by -65: -134 × -65 = 8710.\n</reasoning>\nFinal Answer: 8710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 346 km apart. Their speeds are 94 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+114=208 km/h. Time = 346/208 = 1.6635 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -29 = -239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 21x = -210. Divide by 21: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [79, 79, 76, 98, 59, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 59 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 843 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 843 × (1 + 25/100) = 843 × 1.25 = 1053.75.\n</reasoning>\nFinal Answer: 1053.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 12% of 782?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 782 = (12/100) × 782 = 93.84.\n</reasoning>\nFinal Answer: 93.84"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 16 * 10 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×10=160, then 15+160-41=134.\n</reasoning>\nFinal Answer: 134"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:43 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/43, so B = A × (43/9) = 98 × 43/9 = 468.2222.\n</reasoning>\nFinal Answer: 468.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 / 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/12) ÷ (7/7) = (18/12) × (7/7) = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 19, 32, 45, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 13. Next term = 58 + 13 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 49 + 45 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×49=1666 and 45×1=45, then add: 1711.\n</reasoning>\nFinal Answer: 1711"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 14 and height 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 14 × 92 = 644.0.\n</reasoning>\nFinal Answer: 644.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 557 + 350"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 557 and 350: 557 + 350 = 907.\n</reasoning>\nFinal Answer: 907"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:9 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/9, so B = A × (9/34) = 47 × 9/34 = 12.4412.\n</reasoning>\nFinal Answer: 12.4412"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -363 + -623"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -363 and -623: -363 + -623 = -986.\n</reasoning>\nFinal Answer: -986"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 49 + 12 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×49=2450 and 12×41=492, then add: 2942.\n</reasoning>\nFinal Answer: 2942"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 970 - 667"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 667 from 970: 970 - 667 = 303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 48 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+48) × 7 = 322.0.\n</reasoning>\nFinal Answer: 322.0"
}
] | medium | [
"geometry",
"area"
] |
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