Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187801	Simplify	(1/6a^5)(-3a^2)(4a^7)	$(\frac{1}{6} a^{5}) (- 3 a^{2}) (4 a^{7})$
187802	Find the x and y Intercepts	f(x)=(x^2-x-12)/(5x^2+4x)	$f (x) = \frac{x^{2} - x - 12}{5 x^{2} + 4 x}$
187803	Convert to Interval Notation	x+5>-3 and -2x-5<=1	$x + 5 > - 3$ and $- 2 x - 5 \leq 1$
187804	Simplify	(-4xz-15xy)+(20xy-9yz-16xz)	$(- 4 x z - 15 x y) + (20 x y - 9 y z - 16 x z)$
187805	Solve the System of Inequalities	y>4x-3 y>=-2x+3	$y > 4 x - 3$ $y \geq - 2 x + 3$
187806	Evaluate	(-2^4)	$(- 2^{4})$
187807	Solve for x	(x-7)/5-(x-11)/6+(x-10)/7=2	$\frac{x - 7}{5} - \frac{x - 11}{6} + \frac{x - 10}{7} = 2$
187808	Simplify	(2/x+3/x)/(4/x)	$\frac{\frac{2}{x} + \frac{3}{x}}{\frac{4}{x}}$
187809	Solve for R	K=PRT	$K = P R T$
187810	Find the Exact Value	sin(90 degrees )+tan(45 degrees )	$\sin (90 °) + \tan (45 °)$
187811	Solve for θ	tan(theta) = square root of 2sin(theta)	$\tan (θ) = \sqrt{2} \sin (θ)$
187812	Find the Excluded Values	(p^2-4p-32)/(p+4)	$\frac{p^{2} - 4 p - 32}{p + 4}$
187813	Convert to a Decimal	sin(105)deg	$\sin (105)$ degrees
187814	Simplify	(t^2-2t-3)/(t^2-1)*(3t-3)/(t^2-4t+3)	$\frac{t^{2} - 2 t - 3}{t^{2} - 1} \cdot \frac{3 t - 3}{t^{2} - 4 t + 3}$
187815	Simplify	-4^-1	$- 4^{- 1}$
187816	Divide	(-2x^2)÷x	$- 2 x^{2} \div x$
187817	Simplify	(27-3x^2)/(7x^2-63)	$\frac{27 - 3 x^{2}}{7 x^{2} - 63}$
187818	Simplify	10*6 square root of 80	$10 \cdot 6 \sqrt{80}$
187819	Graph	h(x)=p(x)-6	$h (x) = p (x) - 6$
187820	Simplify	(c^2-4)/(c+3)*(3(c^2-9))/(c+2)	$\frac{c^{2} - 4}{c + 3} \cdot \frac{3 (c^{2} - 9)}{c + 2}$
187821	Evaluate	2.85-6.2÷(2^2)	$2.85 - 6.2 \div 2^{2}$
187822	Simplify	(10^4*4^10)/(4^5)	$\frac{10^{4} \cdot 4^{10}}{4^{5}}$
187823	Find the Reciprocal	square root of 9	$\sqrt{9}$
187824	Simplify	(1/x+1/(x^2))/(x/9-1/3)	$\frac{\frac{1}{x} + \frac{1}{x^{2}}}{\frac{x}{9} - \frac{1}{3}}$
187825	Solve for x	-x^6-3x^5+25x^4+75x^3=0	$- x^{6} - 3 x^{5} + 25 x^{4} + 75 x^{3} = 0$
187826	Simplify the Radical Expression	fourth root of -256	$\sqrt[4]{- 256}$
187827	Simplify	(1/x-2/(x^2))/((x^2)/2-2)	$\frac{\frac{1}{x} - \frac{2}{x^{2}}}{\frac{x^{2}}{2} - 2}$
187828	Simplify	( square root of 3)/( square root of 50)	$\frac{\sqrt{3}}{\sqrt{50}}$
187829	Simplify	-3a+4b-6a+81b-114b+31a-a-b	$- 3 a + 4 b - 6 a + 81 b - 114 b + 31 a - a - b$
187830	Solve for x	5/(x-4)+x/(x-6)=(2x)/(x^2-10x+24)	$\frac{5}{x - 4} + \frac{x}{x - 6} = \frac{2 x}{x^{2} - 10 x + 24}$
187831	Write in Standard Form	x^2-7x+12+(x-3)^2	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$
187832	Write in Slope-Intercept Form	(-8,8) and (1,-10)	$(- 8, 8)$ and $(1, - 10)$
187833	Simplify	3x(x-7)(x-1)^2	$3 x (x - 7) {(x - 1)}^{2}$
187834	Simplify	(x+y)(x-y)(x^2+y^2)	$(x + y) (x - y) (x^{2} + y^{2})$
187835	Solve Using the Quadratic Formula	-x^2+2x=1	$- x^{2} + 2 x = 1$
187836	Find the Domain and Range	arcsec(x)	$arcsec (x)$
187837	Solve the Inequality for d	\|d+9\|>3	$\| d + 9 \| > 3$
187838	Determine if Perpendicular	4x+9y=18 y=4x+9	$4 x + 9 y = 18$ $y = 4 x + 9$
187839	Find the Distance Between Two Points	(2,-3) and (0,-8)	$(2, - 3)$ and $(0, - 8)$
187840	Factor	12x^4yz^2-8x^3y^3z^2	$12 x^{4} y z^{2} - 8 x^{3} y^{3} z^{2}$
187841	Evaluate	3^-6*((3^4)÷(3^0))^2	$3^{- 6} \times {(3^{4} \div 3^{0})}^{2}$
187842	Find the x and y Intercepts	f(x)=((x+3)(6-x))/((x-2)(x+3))	$f (x) = \frac{(x + 3) (6 - x)}{(x - 2) (x + 3)}$
187843	Simplify	(4x^3-3x^2+7x-2)+(x^3+7x^2-4x+5)	$(4 x^{3} - 3 x^{2} + 7 x - 2) + (x^{3} + 7 x^{2} - 4 x + 5)$
187844	Solve for x	4x^2+5bx=-b^2	$4 x^{2} + 5 b x = - b^{2}$
187845	Graph	g(x)=2f(x)+1	$g (x) = 2 f (x) + 1$
187846	Simplify	(ab^8c)(a^-17c^10)	$(a b^{8} c) (a^{- 17} c^{10})$
187847	Graph	f(x)=(x^2+x-2)/(2x^2-2)	$f (x) = \frac{x^{2} + x - 2}{2 x^{2} - 2}$
187848	Graph	f(x)=-x^2+8 if x<1; 2x if x>1	$f (x) = {\begin{cases} - x^{2} + 8 & x < 1 \\ 2 x & x > 1 \end{cases}$
187849	Simplify	10 square root of 63x^4+x^2 square root of 7	$10 \sqrt{63 x^{4}} + x^{2} \sqrt{7}$
187850	Find the Exact Value	-2/3a+5/6a-1/6	$- \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6}$
187851	Graph Using a Table of Values	f(x)=x^2-2x	$f (x) = x^{2} - 2 x$
187852	Solve for x	log base a of a=x	$\log_{a} (a) = x$
187853	Solve for z	x=y-z	$x = y - z$
187854	Write in Slope-Intercept Form	(2,-2) and (4,1)	$(2, - 2)$ and $(4, 1)$
187855	Simplify	5((x+8)/5-8)	$5 (\frac{x + 8}{5} - 8)$
187856	Find f(g(x))	f(x)=3x+1 , g(x)=5-x^2	$f (x) = 3 x + 1$ , $g (x) = 5 - x^{2}$
187857	Solve the Absolute Value Inequality for x	1/4\|x-3\|+2<1	$\frac{1}{4} \| x - 3 \| + 2 < 1$
187858	Solve for b	c=b/(a-b)	$c = \frac{b}{a - b}$
187859	Solve for x	log base x-1 of 6x-14=2	$\log_{x - 1} (6 x - 14) = 2$
187860	Divide	3 3/8÷2 1/4	$3 \frac{3}{8} \div 2 \frac{1}{4}$
187861	Convert to a Simplified Fraction	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
187862	Solve for x	(5-x)^(1/2)-1=x	${(5 - x)}^{\frac{1}{2}} - 1 = x$
187863	Graph	y^2=20(x+1)	$y^{2} = 20 (x + 1)$
187864	Simplify	(20 square root of z^6)÷( square root of 16z^7)	$20 \sqrt{z^{6}} \div \sqrt{16 z^{7}}$
187865	Solve for n	(3^3)/(3^n)=3	$\frac{3^{3}}{3^{n}} = 3$
187866	Find the Domain and Range	f(x)=- square root of 5x+2-1	$f (x) = - \sqrt{5 x + 2} - 1$ ?
187867	Solve the Inequality for x	4x^2-12x+9>0	$4 x^{2} - 12 x + 9 > 0$
187868	Solve for y	9y^2=-30y-25	$9 y^{2} = - 30 y - 25$
187869	Solve for w	9wr=81	$9 w r = 81$
187870	Graph	f(x)=-2 if x<-5; x-4 if x>-1	$f (x) = {\begin{cases} - 2 & x < - 5 \\ x - 4 & x > - 1 \end{cases}$
187871	Solve for x	15-3yi=1/2x+2i	$15 - 3 y i = \frac{1}{2} x + 2 i$
187872	Solve for x	7(x-4)=9(x+1)-(5-2x)	$7 (x - 4) = 9 (x + 1) - (5 - 2 x)$
187873	Graph	square root of x<2	$\sqrt{x} < 2$
187874	Describe the Transformation	f(x)=-1/(x-4)+3	$f (x) = \frac{- 1}{x - 4} + 3$
187875	Multiply	-1*2/3	$- 1 \cdot \frac{2}{3}$
187876	Graph	f(x)=x^9+12x^8+x^7	$f (x) = x^{9} + 12 x^{8} + x^{7}$
187877	Graph	x^2+y^2=1/4	$x^{2} + y^{2} = \frac{1}{4}$
187878	Solve the Inequality for x	\|7-2x\|>11	$\| 7 - 2 x \| > 11$
187879	Solve the Inequality for x	6<=x+6<=11	$6 \leq x + 6 \leq 11$
187880	Find the Exact Value	sin(135 degrees -60 degrees )	$\sin (135 ° - 60 °)$
187881	Simplify	square root of 810+ square root of 240- square root of 250	$\sqrt{810} + \sqrt{240} - \sqrt{250}$
187882	Find the Domain and Range	y=(x-4)/(x^2-16)	$y = \frac{x - 4}{x^{2} - 16}$
187883	Solve the Inequality for x	x^2-4x<=12	$x^{2} - 4 x \leq 12$
187884	Write as a Single Logarithm	4( natural log of z+ natural log of z+5)-2 natural log of z-5	$4 (\ln (z) + \ln (z + 5)) - 2 \ln (z - 5)$
187885	Solve for x	(6x+4)/4=6x+2	$\frac{6 x + 4}{4} = 6 x + 2$
187886	Solve for k	3^(k-2)+7=82	$3^{k - 2} + 7 = 82$
187887	Graph	y<-x+4 y>=2/5x-1	$y < - x + 4$ $y \geq \frac{2}{5} x - 1$
187888	Graph	3(p-3)-5p>-3p-6	$3 (p - 3) - 5 p > - 3 p - 6$
187889	Evaluate	(x^5)/(x^3)	$\frac{x^{5}}{x^{3}}$
187890	Solve the Inequality for x	-(x+4)-2>2x+6	$- (x + 4) - 2 > 2 x + 6$
187891	Solve for x	x/a-2x=b	$\frac{x}{a} - 2 x = b$
187892	Solve for x	(2 square root of x)/c=y	$\frac{2 \sqrt{x}}{c} = y$
187893	Simplify	(((2x^2y^3)^5)/((4x^3y^4)^2))^3	${(\frac{{(2 x^{2} y^{3})}^{5}}{{(4 x^{3} y^{4})}^{2}})}^{3}$
187894	Solve Using the Quadratic Formula	x^2+2x=3-2x	$x^{2} + 2 x = 3 - 2 x$
187895	Graph	y=f(2x)+1	$y = f (2 x) + 1$
187896	Simplify	square root of 2* square root of 8	$\sqrt{2 \cdot \sqrt{8}}$
187897	Multiply	(-3m)(5m^4-3m^3+6m-3)	$(- 3 m) (5 m^{4} - 3 m^{3} + 6 m - 3)$
187898	Solve for r	216=6^(2r-11)	$216 = 6^{2 r - 11}$
187899	Solve for x	-x^3+x^2+x-1=0	$- x^{3} + x^{2} + x - 1 = 0$
187900	Simplify	(10-4i)(4-5i)+(-15+20i)	$(10 - 4 i) (4 - 5 i) + (- 15 + 20 i)$