query: What is $ x^4-7x^3+14x^2-7x+1=0 $?
positive_passages.docid: 54539
positive_passages.text: Quadratic substitution question: applying substitution $p=x+\frac1x$ to $2x^4+x^3-6x^2+x+2=0$
negative_passages.docid: 81337
negative_passages.text: How to solve $(1-\tan^2x)\sec^2x+2^{\tan^2x}=0$
negative_passages.docid: 128535
negative_passages.text: Find the equation of the tangent line to $y=x^4-4x^3-5x+7$
negative_passages.docid: 24822
negative_passages.text: How to solve the equation $(z+1)^7 = z^7$ for all $z$?
negative_passages.docid: 26692
negative_passages.text: Equation in integers $7^x-3^y=4$
negative_passages.docid: 30412
negative_passages.text: How many solutions does the equation $x_1 + x_2 + x_3 = 14$ have, where $x_1$ , $x_2$ , $x_3$ are non-negative integers.
negative_passages.docid: 22112
negative_passages.text: Find all integer solutions to $x^2+4=y^3$.
negative_passages.docid: 103276
negative_passages.text: Solving an equation over the reals: $ x^3 + 1 = 2\sqrt[3]{{2x - 1}}$
negative_passages.docid: 96554
negative_passages.text: Why is $x^0 = 1$ except when $x = 0$?
negative_passages.docid: 55197
negative_passages.text: Roots of $ x^3-3x+1$
negative_passages.docid: 89705
negative_passages.text: How to solve $a_n = 2a_{n-1} + 1, a_0 = 0, a_1 = 1$?
negative_passages.docid: 106374
negative_passages.text: Show that $2x^6+12x^5+30x^4+60x^3+80x^2+30x+45=0$ has no real roots
negative_passages.docid: 140086
negative_passages.text: Does $3-4+1$ equal $0$ or $-2$.. or maybe $2$?
negative_passages.docid: 34942
negative_passages.text: solving $x^3-2y^3=1$ using cubic number field
negative_passages.docid: 14150
negative_passages.text: Zero to the zero power – is $0^0=1$?
negative_passages.docid: 131688
negative_passages.text: Solve $\sin 7x+\sin 3x=0$
negative_passages.docid: 54608
negative_passages.text: How to find all solutions of $4^x-3^x=1$?