query: Find all real solutions to the following equation.
positive_passages.docid: 27494
positive_passages.text: $P_n(x):=1+ \sum_{m=1}^n\dfrac{x^m}{m!}$ has no real root for even $n$ and exactly one real root for odd $n$
negative_passages.docid: 44296
negative_passages.text: Solving a cubic polynomial equation.
negative_passages.docid: 119407
negative_passages.text: Solution of Vector equation
negative_passages.docid: 42713
negative_passages.text: Solutions to the equation $ze^{a-z}=1$
negative_passages.docid: 101776
negative_passages.text: Bounded solution for an equation
negative_passages.docid: 124787
negative_passages.text: How to find a real solution
negative_passages.docid: 14773
negative_passages.text: Finding distinct solutions for the equation
negative_passages.docid: 59196
negative_passages.text: Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $
negative_passages.docid: 80817
negative_passages.text: Solving equations of the form $ae^x + bx +c =0$
negative_passages.docid: 90261
negative_passages.text: Find all solutions of the equation $n^m=x^2+py^2$ which satisfy the following properties
negative_passages.docid: 133164
negative_passages.text: Rational solutions for $x^2+y^2=3$
negative_passages.docid: 56803
negative_passages.text: Finding solutions to congruence equations
negative_passages.docid: 130565
negative_passages.text: Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
negative_passages.docid: 113407
negative_passages.text: Finding all solutions for a system of equations with constraint on the sum of absolute values
negative_passages.docid: 146308
negative_passages.text: Solving 2-degree equations in 3 variables.
negative_passages.docid: 79
negative_passages.text: Find $a$, $b$ and $c$ that satisfy the following equations
negative_passages.docid: 85383
negative_passages.text: No. Of real roots of an equation