Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
120501	Find Where Undefined/Discontinuous	(x^2-11x+30)/(x^2-25)*(x^2+8x+15)/(x^2-3x-18)	$\frac{x^{2} - 11 x + 30}{x^{2} - 25} \cdot \frac{x^{2} + 8 x + 15}{x^{2} - 3 x - 18}$
120502	Determine if a Polynomial	x^7y^2z	$x^{7} y^{2} z$
120503	Determine if a Polynomial	6g^2h^3k	$6 g^{2} h^{3} k$
120504	Determine if a Polynomial	x- square root of 6	$x - \sqrt{6}$
120505	Complete the Square	x^2+3/4x-1	$x^{2} + \frac{3}{4} x - 1$
120506	Complete the Square	x^2+12x=9	$x^{2} + 12 x = 9$
120507	Complete the Square	x^2-32x+c	$x^{2} - 32 x + c$
120508	Complete the Square	r^2-30r	$r^{2} - 30 r$
120509	Complete the Square	r^2-8r	$r^{2} - 8 r$
120510	Complete the Square	u^2-8u+	$u^{2} - 8 u +$
120511	Complete the Square	m^2-12m	$m^{2} - 12 m$
120512	Complete the Square	x^2-28x+c	$x^{2} - 28 x + c$
120513	Round to the Nearest Tenth	0.6875	$0.6875$
120514	Round to the Nearest Tenth	615.44	$615.44$
120515	Reduce the Fraction	29/36	$\frac{29}{36}$
120516	Reduce the Fraction	576/625	$\frac{576}{625}$
120517	Reduce the Fraction	64/32	$\frac{64}{32}$
120518	Reduce the Fraction	144/180	$\frac{144}{180}$
120519	Reduce the Fraction	60/72	$\frac{60}{72}$
120520	Reduce the Fraction	17/36	$\frac{17}{36}$
120521	Reduce the Fraction	77/85	$\frac{77}{85}$
120522	Reduce the Fraction	20/38	$\frac{20}{38}$
120523	Reduce the Fraction	28/56	$\frac{28}{56}$
120524	Use the Rational Roots Test to Find All Possible Roots	5x^3-11x^2+7x-1=0	$5 x^{3} - 11 x^{2} + 7 x - 1 = 0$
120525	Solve for z	-21<-3z-3<6	$- 21 < - 3 z - 3 < 6$
120526	Solve for x	-50<20x-10<=50	$- 50 < 20 x - 10 \leq 50$
120527	Solve for x	-5<=x-7<-2	$- 5 \leq x - 7 < - 2$
120528	Solve for x	-4<-2x<=4	$- 4 < - 2 x \leq 4$
120529	Solve for x	3<2x-1<=9	$3 < 2 x - 1 \leq 9$
120530	Plot	9-4d>=-3	$9 - 4 d \geq - 3$
120531	Find the Vertex Form	y=3x^2-6x+8	$y = 3 x^{2} - 6 x + 8$
120532	Find the Vertex Form	y=-2x^2+5x	$y = - 2 x^{2} + 5 x$
120533	Find the Vertex Form	y=3x^2+6x-5	$y = 3 x^{2} + 6 x - 5$
120534	Find the Maximum/Minimum Value	y=1/5x^2-5x+27	$y = \frac{1}{5} x^{2} - 5 x + 27$
120535	Identify the Zeros and Their Multiplicities	x^3-30x^2+225x	$x^{3} - 30 x^{2} + 225 x$
120536	Identify the Zeros and Their Multiplicities	f(x)=(x-5)^2(x-2)	$f (x) = {(x - 5)}^{2} (x - 2)$
120537	Identify the Zeros and Their Multiplicities	f(x)=(x^2-9)^4	$f (x) = {(x^{2} - 9)}^{4}$
120538	Identify the Zeros and Their Multiplicities	-4x^4(x-1)(x+2)^4	$- 4 x^{4} (x - 1) {(x + 2)}^{4}$
120539	Evaluate Using Scientific Notation	(2.85*10^6)/30000	$\frac{2.85 \cdot 10^{6}}{30000}$
120540	Evaluate Using Scientific Notation	(5.210^-6)(810^3)	$(5.2 \cdot 10^{- 6}) (8 \cdot 10^{3})$
120541	Evaluate Using Scientific Notation	(8.310^4)(8*10^6)	$(8.3 \cdot 10^{4}) \cdot (8 \cdot 10^{6})$
120542	Evaluate Using Scientific Notation	(310^2)(1.510^-5)	$(3 \cdot 10^{2}) (1.5 \cdot 10^{- 5})$
120543	Write as a Function of y	x=8y^2+4	$x = 8 y^{2} + 4$
120544	Write as a Function of k	x^2-kx+144=0	$x^{2} - k x + 144 = 0$
120545	Write as a Function of x	x^2-kx+144=0	$x^{2} - k x + 144 = 0$
120546	Find the Range	f(x)=c	$f (x) = c$
120547	Find the Axis of Symmetry	y=1/2x^2-6	$y = \frac{1}{2} x^{2} - 6$
120548	Find the Axis of Symmetry	y+2x^2-4x-6=0	$y + 2 x^{2} - 4 x - 6 = 0$
120549	Find the Axis of Symmetry	y=-6-7x-4x^2	$y = - 6 - 7 x - 4 x^{2}$
120550	Find the Axis of Symmetry	x^2+4x-5=y	$x^{2} + 4 x - 5 = y$
120551	Divide Using Long Polynomial Division	(6x^4+x^3-9x+13)÷(x^2+8)	$(6 x^{4} + x^{3} - 9 x + 13) \div (x^{2} + 8)$
120552	Divide Using Long Polynomial Division	(4x^3+13x^2+27x+6)÷(4x+1)	$(4 x^{3} + 13 x^{2} + 27 x + 6) \div (4 x + 1)$
120553	Find the Reference Angle	csc(-190)	$\csc (- 190)$
120554	Find the Degree	xy^2+3xy-7+y	$x y^{2} + 3 x y - 7 + y$
120555	Divide Using Long Polynomial Division	(80x-8000)÷(x-110)	$(80 x - 8000) \div (x - 110)$
120556	Divide Using Long Polynomial Division	(6x^3+10x^2+x+8)/(2x^2+1)	$\frac{(6 x^{3} + 10 x^{2} + x + 8)}{2 x^{2} + 1}$
120557	Find the Degree	8a^3	$8 a^{3}$
120558	Evaluate Using the Given Value	tan(x) , x=-pi	$\tan (x)$ , $x = - π$
120559	Find the Local Maxima and Minima	f(x)=x^3-1.5x^2-6x+1	$f (x) = x^{3} - 1.5 x^{2} - 6 x + 1$
120560	Evaluate Using the Given Value	f(2)=2(2)^2+5 square root of 2+2	$f (2) = 2 {(2)}^{2} + 5 \sqrt{2 + 2}$
120561	Find the Degree, Leading Term, and Leading Coefficient	-12y+8y^3	$- 12 y + 8 y^{3}$
120562	Find the Slope of a Parallel Line	4x-9y=5	$4 x - 9 y = 5$
120563	Find the Remainder	(x^3+7x^2-x+1)/(x+8)	$\frac{x^{3} + 7 x^{2} - x + 1}{x + 8}$
120564	Find the Maximum/Minimum Value	25x-x^3	$25 x - x^{3}$
120565	Find the Maximum/Minimum Value	3x^2+30x-2	$3 x^{2} + 30 x - 2$
120566	Determine if Rational	square root of 10+27	$\sqrt{10} + 27$
120567	Determine if Rational	0.4/0.8	$\frac{0.4}{0.8}$
120568	Find the Slope and y-intercept	f(x)=4/5x-7	$f (x) = \frac{4}{5} x - 7$
120569	Find the Slope and y-intercept	f(x)=4/5x-5	$f (x) = \frac{4}{5} x - 5$
120570	Find the Slope and y-intercept	f(x)=3/5x-4	$f (x) = \frac{3}{5} x - 4$
120571	Expand Using the Binomial Theorem	(p+q)^4	${(p + q)}^{4}$
120572	Expand Using the Binomial Theorem	(r+s)^4	${(r + s)}^{4}$
120573	Expand Using the Binomial Theorem	(4x-y)^3	${(4 x - y)}^{3}$
120574	Expand Using the Binomial Theorem	(2a+b^2)^5	${(2 a + b^{2})}^{5}$
120575	Expand Using the Binomial Theorem	(2A+B^2)^5	${(2 A + B^{2})}^{5}$
120576	Expand Using the Binomial Theorem	(3u+v^2)^6	${(3 u + v^{2})}^{6}$
120577	Find the Slope and y-intercept	f(x)=2/3x-7	$f (x) = \frac{2}{3} x - 7$
120578	Graph the Interval	[-6,infinity)	$[- 6, \infty)$
120579	Solve by Graphing	3x+4=-2x-1	$3 x + 4 = - 2 x - 1$
120580	Find Three Ordered Pair Solutions	4x-2y=18	$4 x - 2 y = 18$
120581	Find Three Ordered Pair Solutions	-x+6y=1	$- x + 6 y = 1$
120582	Find Three Ordered Pair Solutions	3x-5y=20	$3 x - 5 y = 20$
120583	Find Three Ordered Pair Solutions	-x+3y=8	$- x + 3 y = 8$
120584	Convert to Set Notation	\|4x-7\|>=4	$\| 4 x - 7 \| \geq 4$
120585	Find dy/dx	x^2y-e^y-5=0	$x^{2} y - e^{y} - 5 = 0$
120586	Find dy/dx	xe^y-ye^x=7	$x e^{y} - y e^{x} = 7$
120587	Write as a Set of Linear Factors	x^3-x^2+9x-9	$x^{3} - x^{2} + 9 x - 9$
120588	Write as a Set of Linear Factors	2x^4-7x^3-27x^2+63x+81	$2 x^{4} - 7 x^{3} - 27 x^{2} + 63 x + 81$
120589	Write the Fraction in Simplest Form	(5/8)÷(11/12)	$\frac{5}{8} \div \frac{11}{12}$
120590	Convert to a Mixed Number	7.05	$7.05$
120591	Convert to a Mixed Number	60/11	$\frac{60}{11}$
120592	Find the Constant of Variation	6y=4x^2	$6 y = 4 x^{2}$
120593	Find the LCD	3/(x^2+6x-27) , x/(x^2+10x+9)	$\frac{3}{x^{2} + 6 x - 27}$ , $\frac{x}{x^{2} + 10 x + 9}$
120594	Find the LCD	2/(7x-14) , x/(3x-6)	$\frac{2}{7 x - 14}$ , $\frac{x}{3 x - 6}$
120595	Find the LCD	1/(2x+6) , 1/(4x+12)	$\frac{1}{2 x + 6}$ , $\frac{1}{4 x + 12}$
120596	Write with Rational (Fractional) Exponents	fourth root of 16x^3	$\sqrt[4]{16 x^{3}}$
120597	Write with Rational (Fractional) Exponents	fifth root of 32m^3	$\sqrt[5]{32 m^{3}}$
120598	Write with Rational (Fractional) Exponents	6^5 square root of x^2y	$6^{5} \sqrt{x^{2} y}$
120599	Expand the Trigonometric Expression	6(-3m)^4	$6 {(- 3 m)}^{4}$
120600	Expand the Trigonometric Expression	(7g+2)(5g+4)	$(7 g + 2) (5 g + 4)$