messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -566 - 690"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 690 from -566: -566 - 690 = -1256.\n</reasoning>\nFinal Answer: -1256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 5% of 544?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 544 = (5/100) × 544 = 27.2.\n</reasoning>\nFinal Answer: 27.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 9 = 66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 3x = 57. Divide by 3: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/9 - 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/9 - 8/15. LCD = 45. Result = 76/45.\n</reasoning>\nFinal Answer: 76/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 55 km/h. How far does it travel in 4 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 39/60 = 4.6500 hours. Distance = speed × time = 55 × 4.6500 = 255.75 km.\n</reasoning>\nFinal Answer: 255.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 8, 15, 18] and B = [2, 5, 6, 7, 8, 10, 12, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 8, 18].\n</reasoning>\nFinal Answer: [2, 8, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 439 km apart. Their speeds are 100 km/h and 41 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+41=141 km/h. Time = 439/141 = 3.1135 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 45 = 3240.\n</reasoning>\nFinal Answer: 3240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -902 mod 112"
},
{
"role": "assistant",
"content": "<reasoning>\n-902 mod 112: -902 = 112 × -9 + 106, so remainder = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -658 - 124"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 124 from -658: -658 - 124 = -782.\n</reasoning>\nFinal Answer: -782"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 11, 13, 15, 16, 17, 18] and B = [1, 2, 5, 10, 11, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 13, 15, 16, 18].\n</reasoning>\nFinal Answer: [9, 13, 15, 16, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 37, 57, 77, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 20. Next term = 97 + 20 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Decrease 859 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 859 × (1 - 45/100) = 859 × 0.55 = 472.45.\n</reasoning>\nFinal Answer: 472.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 6 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 6/9 = 0.6667.\n</reasoning>\nFinal Answer: 0.6667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -22 = -442"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 15x = -420. Divide by 15: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -91 mod 697"
},
{
"role": "assistant",
"content": "<reasoning>\n-91 mod 697: -91 = 697 × -1 + 606, so remainder = 606.\n</reasoning>\nFinal Answer: 606"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:27 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/27, so B = A × (27/24) = 5 × 27/24 = 5.625.\n</reasoning>\nFinal Answer: 5.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -688 - -777"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -777 from -688: -688 - -777 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 110 and 171."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(110,171) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -696 + -5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -696 and -5: -696 + -5 = -701.\n</reasoning>\nFinal Answer: -701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 12% of 550?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 550 = (12/100) × 550 = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:49 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/49, so B = A × (49/36) = 10 × 49/36 = 13.6111.\n</reasoning>\nFinal Answer: 13.6111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 5 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 11+25-5=31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:31 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/31, so B = A × (31/13) = 54 × 31/13 = 128.7692.\n</reasoning>\nFinal Answer: 128.7692"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 164 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 164 = 190.\n</reasoning>\nFinal Answer: 190"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 8 hours and 57 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 57/60 = 8.9500 hours. Distance = speed × time = 66 × 8.9500 = 590.7 km.\n</reasoning>\nFinal Answer: 590.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:14 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/14, so B = A × (14/25) = 15 × 14/25 = 8.4.\n</reasoning>\nFinal Answer: 8.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 41) * (37 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+41)=90, (37-10)=27, then 90×27=2430.\n</reasoning>\nFinal Answer: 2430"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -497 × -604"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -497 by -604: -497 × -604 = 300188.\n</reasoning>\nFinal Answer: 300188"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 16, 67, 89, 10, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 10 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -759 - -791"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -791 from -759: -759 - -791 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3944. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3944 × 28/100 = 1104.32. Total = 3944 + 1104.32 = 5048.32.\n</reasoning>\nFinal Answer: 5048.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 / 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/14) ÷ (4/12) = (14/14) × (12/4) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -920 ÷ -235"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -920 by -235. -920 ÷ -235 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 7) * (39 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+7)=17, (39-6)=33, then 17×33=561.\n</reasoning>\nFinal Answer: 561"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 4 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 2/6 = 0.3333.\n</reasoning>\nFinal Answer: 0.3333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 19/6 + 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/6 + 18/3. Common denominator = 6. Result = 55/6.\n</reasoning>\nFinal Answer: 55/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 26 = 494.\n</reasoning>\nFinal Answer: 494"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 187 km/h. How far does it travel in 12 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 35/60 = 12.5833 hours. Distance = speed × time = 187 × 12.5833 = 2353.0833 km.\n</reasoning>\nFinal Answer: 2353.0833"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -37 = -427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 13x = -390. Divide by 13: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -50 = -53"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 1x = -3. Divide by 1: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 77 = 2002.0.\n</reasoning>\nFinal Answer: 2002.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 130 mod -490"
},
{
"role": "assistant",
"content": "<reasoning>\n130 mod -490: 130 = -490 × -1 + -360, so remainder = -360.\n</reasoning>\nFinal Answer: -360"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -547 mod 649"
},
{
"role": "assistant",
"content": "<reasoning>\n-547 mod 649: -547 = 649 × -1 + 102, so remainder = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:45 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/45, so B = A × (45/8) = 24 × 45/8 = 135.0.\n</reasoning>\nFinal Answer: 135.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:45 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/45, so B = A × (45/8) = 33 × 45/8 = 185.625.\n</reasoning>\nFinal Answer: 185.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 408 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 408 × (1 - 3/100) = 408 × 0.97 = 395.76.\n</reasoning>\nFinal Answer: 395.76"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:12 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/12, so B = A × (12/42) = 20 × 12/42 = 5.7143.\n</reasoning>\nFinal Answer: 5.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 / 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/12) ÷ (4/7) = (18/12) × (7/4) = 21/8.\n</reasoning>\nFinal Answer: 21/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 850 km apart. Their speeds are 72 km/h and 43 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+43=115 km/h. Time = 850/115 = 7.3913 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 9, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (19-1)×9 = 8 + 162 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 477 × -681"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 477 by -681: 477 × -681 = -324837.\n</reasoning>\nFinal Answer: -324837"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 19. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 19² = π × 361 ≈ 1134.1149.\n</reasoning>\nFinal Answer: 1134.1149"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "A train travels at 72 km/h. How far does it travel in 6 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 44/60 = 6.7333 hours. Distance = speed × time = 72 × 6.7333 = 484.8 km.\n</reasoning>\nFinal Answer: 484.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 112 mod 410"
},
{
"role": "assistant",
"content": "<reasoning>\n112 mod 410: 112 = 410 × 0 + 112, so remainder = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 12, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (15-1)×12 = 4 + 168 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 * 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/8) × (18/18) = (252/144) = 7/4 after simplification.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 2 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 2²=4, then 32+4-13=23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-5)x + (-280) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×5×-280 = 5625. √discriminant = 75. x = (-(-5) ± 75) / (2×5). Solutions: x = 8 or x = -7.\n</reasoning>\nFinal Answer: x = 8 or x = -7"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 30 = 219"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 9x = 189. Divide by 9: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 973 × 448"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 973 by 448: 973 × 448 = 435904.\n</reasoning>\nFinal Answer: 435904"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -442 × -974"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -442 by -974: -442 × -974 = 430508.\n</reasoning>\nFinal Answer: 430508"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -48 = 952"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 20x = 1000. Divide by 20: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 15 and width 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 15 × 55 = 825.\n</reasoning>\nFinal Answer: 825"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 35 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+35) × 25 = 912.5.\n</reasoning>\nFinal Answer: 912.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 35, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 35 + 36 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39560 at 6% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39560 × 6 × 3 / 100 = 7120.8.\n</reasoning>\nFinal Answer: 7120.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:14 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/14, so B = A × (14/38) = 34 × 14/38 = 12.5263.\n</reasoning>\nFinal Answer: 12.5263"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 14, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (17-1)×14 = 33 + 224 = 257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 4 * 30 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×30=120, then 35+120-42=113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 12, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (37-1)×12 = 41 + 432 = 473.\n</reasoning>\nFinal Answer: 473"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 693 mod 306"
},
{
"role": "assistant",
"content": "<reasoning>\n693 mod 306: 693 = 306 × 2 + 81, so remainder = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 14 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 14 = 140 worker-days. New time = 140 / 9 = 15.5556 days.\n</reasoning>\nFinal Answer: 15.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 / 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/18) ÷ (19/7) = (9/18) × (7/19) = 7/38.\n</reasoning>\nFinal Answer: 7/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 26 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+26) × 10 = 370.0.\n</reasoning>\nFinal Answer: 370.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 22 * 11 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×11=242, then 26+242-11=257.\n</reasoning>\nFinal Answer: 257"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 20 ** 2 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 41+400-38=403.\n</reasoning>\nFinal Answer: 403"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -641 - 519"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 519 from -641: -641 - 519 = -1160.\n</reasoning>\nFinal Answer: -1160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 77 = 3927.\n</reasoning>\nFinal Answer: 3927"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 26 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 26 × 70 = 1820.\n</reasoning>\nFinal Answer: 1820"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 1 hours and 33 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 33/60 = 1.5500 hours. Distance = speed × time = 69 × 1.5500 = 106.95 km.\n</reasoning>\nFinal Answer: 106.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 45, 49, 81, 60, 27, 77, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 27 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:46 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/46, so B = A × (46/43) = 49 × 46/43 = 52.4186.\n</reasoning>\nFinal Answer: 52.4186"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 49 = 283"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 26x = 234. Divide by 26: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 * 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/12) × (7/9) = (21/108) = 7/36 after simplification.\n</reasoning>\nFinal Answer: 7/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 13 = 55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 1x = 42. Divide by 1: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -161 mod -73"
},
{
"role": "assistant",
"content": "<reasoning>\n-161 mod -73: -161 = -73 × 2 + -15, so remainder = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -605 + -516"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -605 and -516: -605 + -516 = -1121.\n</reasoning>\nFinal Answer: -1121"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/16 - 6/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/16 - 6/13. LCD = 52. Result = 41/52.\n</reasoning>\nFinal Answer: 41/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 9) * (44 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+9)=23, (44-46)=-2, then 23×-2=-46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 7 ** 2 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 41+49-2=88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-35)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -35² - 4×5×-40 = 2025. √discriminant = 45. x = (-(-35) ± 45) / (2×5). Solutions: x = -1 or x = 8.\n</reasoning>\nFinal Answer: x = -1 or x = 8... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 43 × 761"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 43 by 761: 43 × 761 = 32723.\n</reasoning>\nFinal Answer: 32723"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 49, 2, 65, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 1, 49: 1, 2: 1, 65: 1, 80: 1}. Most frequent: [59, 49, 2, 65, 80].\n</reasoning>\nFinal Answer: [59, 49, 2, 65, 80]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46960 at 7% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46960 × 7 × 9 / 100 = 29584.8.\n</reasoning>\nFinal Answer: 29584.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 11, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (20-1)×11 = 38 + 209 = 247.\n</reasoning>\nFinal Answer: 247"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2294. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2294 × 12/100 = 275.28. Total = 2294 + 275.28 = 2569.28.\n</reasoning>\nFinal Answer: 2569.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 10 * 29 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×29=290, then 47+290-2=335.\n</reasoning>\nFinal Answer: 335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 37 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(37+47) = 2×84 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -19 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 4x = 48. Divide by 4: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.