query: Find coefficient of $x^{10}$ in $x^2(x^2-3x^3-1)^6$
positive_passages.docid: 155527
positive_passages.text: Find coefficient for $x^{10}$ in $x^3(x^2-3x^3-1)^6$
negative_passages.docid: 61047
negative_passages.text: Find the coefficient of ${x^9}$ in the expansion of $ (1 + x)( 1 + x^2)( 1 + x^3)..(1 + x^{100})$
negative_passages.docid: 110869
negative_passages.text: Find the coefficient of $z$ in the Laurent series expansion of $\frac{e^z}{z-1}$ in ${|z| > 1}$
negative_passages.docid: 14124
negative_passages.text: Factor $x^6 +5x^3 +8$
negative_passages.docid: 145279
negative_passages.text: Compute the (multiplicative) inverse of $4x+3$ in the field $\frac {\Bbb F_{11}[x]}{\langle x^2+1 \rangle}$?
negative_passages.docid: 61302
negative_passages.text: Find the least value of $ \sec^6 x +\csc^6 x + \sec^6 x\csc^6 x$
negative_passages.docid: 87029
negative_passages.text: Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
negative_passages.docid: 21679
negative_passages.text: Solving $x^3-y^3=xy+61$ in integers
negative_passages.docid: 96875
negative_passages.text: Finding the value of $x^{x^2}+x^{x^6}$ given that $x^{x^4}=4$
negative_passages.docid: 144953
negative_passages.text: Value of $\frac{x^n -a^n}{ x-a}$?
negative_passages.docid: 54753
negative_passages.text: What does $\sum_{i=1}^{10} 2$ mean exactly?
negative_passages.docid: 18093
negative_passages.text: Find $x$ such that $\sum_{k=1}^{2014} k^k \equiv x \pmod {10}$
negative_passages.docid: 78632
negative_passages.text: Summation equation for $2^{x-1}$
negative_passages.docid: 33992
negative_passages.text: Let $\theta$ be a root of $p(x)=x^3+9x+6$, find the inverse of $1+\theta$ in $\mathbb{Q(\theta)}$
negative_passages.docid: 107816
negative_passages.text: Solving a six-degree polynomial of the form $ax^6+bx^3+g$.
negative_passages.docid: 49744
negative_passages.text: Find remainder of division of $x^3$ by $x^2-x+1$
negative_passages.docid: 31122
negative_passages.text: How could I find $x$ in this equation $x^2-x+6 \equiv 0 \pmod {9}$