messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 18/12 - 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/12 - 12/12. LCD = 2. Result = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 28 = -1090"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 26x = -1118. Divide by 26: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 - 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/6 - 6/18. LCD = 6. Result = 5/2.\n</reasoning>\nFinal Answer: 5/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 7, 12, 14, 19] and B = [1, 4, 6, 8, 12, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 7, 8, 12, 14, 19].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 7, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [27, 86, 52, 64, 93, 26, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {27: 1, 86: 1, 52: 1, 64: 1, 93: 1, 26: 1, 19: 1}. Most frequent: [27, 86, 52, 64, 93, 26, 19].\n</reasoning>\nFinal Answer: [27, 86, 52, 64, 93, 26... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 4 = 21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 1x = 17. Divide by 1: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 * 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/2) × (3/13) = (33/26) = 33/26 after simplification.\n</reasoning>\nFinal Answer: 33/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -47 + -173"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -47 and -173: -47 + -173 = -220.\n</reasoning>\nFinal Answer: -220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -18 = -144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 14x = -126. Divide by 14: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 33 = 93"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 6x = 60. Divide by 6: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [41, 50, 59, 68, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 41 and common difference 9. Next term = 77 + 9 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 25 = -775"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 25x = -800. Divide by 25: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 / 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/8) ÷ (8/7) = (2/8) × (7/8) = 7/32.\n</reasoning>\nFinal Answer: 7/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 * 4/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/1) × (4/1) = (32/1) = 32 after simplification.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 9) * (22 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+9)=57, (22-39)=-17, then 57×-17=-969.\n</reasoning>\nFinal Answer: -969"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 71 = 745.5.\n</reasoning>\nFinal Answer: 745.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 20% of 156?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 156 = (20/100) × 156 = 31.2.\n</reasoning>\nFinal Answer: 31.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -28 = -138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 10x = -110. Divide by 10: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 50 and common difference 15, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 50 + (41-1)×15 = 50 + 600 = 650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 177 apples and buys 152 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 177 + 152 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 50 * 29 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×29=1450, then 32+1450-38=1444.\n</reasoning>\nFinal Answer: 1444"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 80 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 80 × 45 = 1800.0.\n</reasoning>\nFinal Answer: 1800.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 6 = -426"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 16x = -432. Divide by 16: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 20, 34, 38, 2, 61, 22, 22, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 307/9 = 34.1111.\n</reasoning>\nFinal Answer: 34.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 23 = 833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 18x = 810. Divide by 18: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1876. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1876 × 12/100 = 225.12. Total = 1876 + 225.12 = 2101.12.\n</reasoning>\nFinal Answer: 2101.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -515 ÷ -945"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -515 by -945. -515 ÷ -945 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 4 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 4 × 10 = 40.\n</reasoning>\nFinal Answer: 40"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 20 × -160"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 20 by -160: 20 × -160 = -3200.\n</reasoning>\nFinal Answer: -3200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 - 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/14 - 10/13. LCD = 91. Result = 47/91.\n</reasoning>\nFinal Answer: 47/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 937 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 937 × (1 + 45/100) = 937 × 1.45 = 1358.65.\n</reasoning>\nFinal Answer: 1358.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 4, 90, 71, 37, 91, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 379/7 = 54.1429.\n</reasoning>\nFinal Answer: 54.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:19 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/19, so B = A × (19/32) = 82 × 19/32 = 48.6875.\n</reasoning>\nFinal Answer: 48.6875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 32 = 1088.0.\n</reasoning>\nFinal Answer: 1088.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8356 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8356 × 17 × 4 / 100 = 5682.08.\n</reasoning>\nFinal Answer: 5682.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/17 * 19/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/17) × (19/2) = (361/34) = 361/34 after simplification.\n</reasoning>\nFinal Answer: 361/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:49 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/49, so B = A × (49/6) = 34 × 49/6 = 277.6667.\n</reasoning>\nFinal Answer: 277.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 38, 73, 54, 86, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 38, 54, 64, 73, 86]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 24 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 24 = 264 worker-days. New time = 264 / 5 = 52.8 days.\n</reasoning>\nFinal Answer: 52.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 28 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 28 = 392 worker-days. New time = 392 / 11 = 35.6364 days.\n</reasoning>\nFinal Answer: 35.6364"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 813 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 813 × (1 - 3/100) = 813 × 0.97 = 788.61.\n</reasoning>\nFinal Answer: 788.61"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-30)x + (72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×3×72 = 36. √discriminant = 6. x = (-(-30) ± 6) / (2×3). Solutions: x = 6 or x = 4.\n</reasoning>\nFinal Answer: x = 6 or x = 4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -695 + -824"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -695 and -824: -695 + -824 = -1519.\n</reasoning>\nFinal Answer: -1519"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 35 * 39 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×39=1365, then 15+1365-13=1367.\n</reasoning>\nFinal Answer: 1367"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -703 + 901"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -703 and 901: -703 + 901 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 668 - 357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 357 from 668: 668 - 357 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 8, 9, 10, 11, 13, 16] and B = [12, 13, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 7, 8, 9, 10, 11, 16].\n</reasoning>\nFinal Answer: [6, 7, 8, 9, 10, 11, 16]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 34 apples and buys 7 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 34 + 7 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:40 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/40, so B = A × (40/23) = 10 × 40/23 = 17.3913.\n</reasoning>\nFinal Answer: 17.3913"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:28 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/28, so B = A × (28/10) = 65 × 28/10 = 182.0.\n</reasoning>\nFinal Answer: 182.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3773. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3773 × 12/100 = 452.76. Total = 3773 + 452.76 = 4225.76.\n</reasoning>\nFinal Answer: 4225.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7044 at 6% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7044 × 6 × 5 / 100 = 2113.2.\n</reasoning>\nFinal Answer: 2113.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -21 = -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 29x = -87. Divide by 29: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 38, 28, 85, 21, 97, 59, 52, 25, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 6 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 617 × 53"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 617 by 53: 617 × 53 = 32701.\n</reasoning>\nFinal Answer: 32701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 42 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 35+1764-24=1775.\n</reasoning>\nFinal Answer: 1775"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 38) * (21 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+38)=43, (21-8)=13, then 43×13=559.\n</reasoning>\nFinal Answer: 559"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×31)/31 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 10 + 24 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×10=80 and 24×48=1152, then add: 1232.\n</reasoning>\nFinal Answer: 1232"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -948 - 168"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 168 from -948: -948 - 168 = -1116.\n</reasoning>\nFinal Answer: -1116"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 23 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+23) × 44 = 1078.0.\n</reasoning>\nFinal Answer: 1078.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -878 × 250"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -878 by 250: -878 × 250 = -219500.\n</reasoning>\nFinal Answer: -219500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 65% of 244?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 244 = (65/100) × 244 = 158.6.\n</reasoning>\nFinal Answer: 158.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 42 = -663"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 15x = -705. Divide by 15: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 99 = 7821.\n</reasoning>\nFinal Answer: 7821"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 30) * (47 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+30)=51, (47-39)=8, then 51×8=408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 37 = -563"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 12x = -600. Divide by 12: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 25, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 25 + 32 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 16, 6 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (16+6) × 36 = 396.0.\n</reasoning>\nFinal Answer: 396.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 48, 62, 4, 91, 73, 81, 49, 17, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 4 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 15 + 7 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×15=495 and 7×32=224, then add: 719.\n</reasoning>\nFinal Answer: 719"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 893 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 893 × (1 + 60/100) = 893 × 1.6 = 1428.8.\n</reasoning>\nFinal Answer: 1428.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 / 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/3) ÷ (10/2) = (19/3) × (2/10) = 19/15.\n</reasoning>\nFinal Answer: 19/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "581 is what percentage of 671?"
},
{
"role": "assistant",
"content": "<reasoning>\n(581/671) × 100 = 86.5872%.\n</reasoning>\nFinal Answer: 86.5872%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 42 * 46 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 42×46=1932, then 32+1932-33=1931.\n</reasoning>\nFinal Answer: 1931"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 28 * 3 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×3=84, then 38+84-28=94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 712 km apart. Their speeds are 100 km/h and 66 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+66=166 km/h. Time = 712/166 = 4.2892 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -15 = -798"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 27x = -783. Divide by 27: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 32 = -276"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 7x = -308. Divide by 7: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:10 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/10, so B = A × (10/50) = 27 × 10/50 = 5.4.\n</reasoning>\nFinal Answer: 5.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 40 * 46 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×46=1840, then 50+1840-37=1853.\n</reasoning>\nFinal Answer: 1853"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:25 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/25, so B = A × (25/41) = 53 × 25/41 = 32.3171.\n</reasoning>\nFinal Answer: 32.3171"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -19 mod 979"
},
{
"role": "assistant",
"content": "<reasoning>\n-19 mod 979: -19 = 979 × -1 + 960, so remainder = 960.\n</reasoning>\nFinal Answer: 960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 429 + -507"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 429 and -507: 429 + -507 = -78.\n</reasoning>\nFinal Answer: -78"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 50 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 5+2500-34=2471.\n</reasoning>\nFinal Answer: 2471"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 47 = 446.5.\n</reasoning>\nFinal Answer: 446.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 / 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/2) ÷ (14/20) = (15/2) × (20/14) = 75/7.\n</reasoning>\nFinal Answer: 75/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -684 + -273"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -684 and -273: -684 + -273 = -957.\n</reasoning>\nFinal Answer: -957"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 47 = 1504.\n</reasoning>\nFinal Answer: 1504"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 462 ÷ 567"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 462 by 567. 462 ÷ 567 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 67 = 3182.5.\n</reasoning>\nFinal Answer: 3182.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -246 × -584"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -246 by -584: -246 × -584 = 143664.\n</reasoning>\nFinal Answer: 143664"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [11, 17, 19] and B = [3, 6, 9, 10, 14, 18], 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": "In an arithmetic progression with first term 26 and common difference 11, find the 40th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (40-1)×11 = 26 + 429 = 455.\n</reasoning>\nFinal Answer: 455"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 34 = 268"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 6x = 234. Divide by 6: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 53."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 53 by smallest primes repeatedly: 53 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 - 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/12 - 4/20. LCD = 60. Result = 83/60.\n</reasoning>\nFinal Answer: 83/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 0 = -473"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 11x = -473. Divide by 11: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:16 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/16, so B = A × (16/49) = 71 × 16/49 = 23.1837.\n</reasoning>\nFinal Answer: 23.1837"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -704 × -920"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -704 by -920: -704 × -920 = 647680.\n</reasoning>\nFinal Answer: 647680"
}
] | medium | [
"arithmetic",
"computation"
] |
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