Mathway | Popular Problems

Popular Problems

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