Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173701	Solve for x	log base x+5 of 3x^2-3=2	$\log_{x + 5} (3 x^{2} - 3) = 2$
173702	Divide	-42x^2-13x+1 by 6x+1	$- 42 x^{2} - 13 x + 1$ by $6 x + 1$
173703	Factor	(2x-1)(x+4)-(2x-1)(3x+1)	$(2 x - 1) (x + 4) - (2 x - 1) (3 x + 1)$
173704	Graph	2x+y<=4 x-1>=0	$2 x + y \leq 4$ $x - 1 \geq 0$
173705	Graph	[-3,2)	$[- 3, 2)$
173706	Simplify	3-(4-3x)^2	$3 - {(4 - 3 x)}^{2}$
173707	Simplify	2x^2+(4x-6x^2)+9-(6x+3) ?	$2 x^{2} + (4 x - 6 x^{2}) + 9 - (6 x + 3)$ ?
173708	Divide Using Synthetic Division	x^4-2x^2-4x-48 is divided by x-3	$x^{4} - 2 x^{2} - 4 x - 48$ is divided by $x - 3$
173709	Simplify	xxx*x	$x \cdot x \cdot x \cdot x$
173710	Solve for d₁	m=1/2(d_1+d_2)	$m = \frac{1}{2} (d_{1} + d_{2})$
173711	Simplify	(3x)/(x+3)+x/(x+2)	$\frac{3 x}{x + 3} + \frac{x}{x + 2}$
173712	Solve for b	-7+ square root of 25b=3	$- 7 + \sqrt{25 b} = 3$
173713	Simplify	(-8x^2-48xy-72y^2)/(2x^2-18y^2)	$\frac{- 8 x^{2} - 48 x y - 72 y^{2}}{2 x^{2} - 18 y^{2}}$
173714	Evaluate	4pi(11)^2	$4 π {(11)}^{2}$
173715	Solve for x	-6+3x-9x^2=-16	$- 6 + 3 x - 9 x^{2} = - 16$
173716	Solve the System of Equations	-(10x)/3-(5y)/8=145/12 -(2x)/5-(3y)/8=17/20	$- \frac{10 x}{3} - \frac{5 y}{8} = \frac{145}{12}$ $- \frac{2 x}{5} - \frac{3 y}{8} = \frac{17}{20}$
173717	Evaluate	(1/3)^(1/2+1)	${(\frac{1}{3})}^{\frac{1}{2} + 1}$
173718	Simplify	(2x)/(y^2)+(3x)/(2y)-(4x)/5	$\frac{2 x}{y^{2}} + \frac{3 x}{2 y} - \frac{4 x}{5}$
173719	Simplify	7/(5y+25)-4/(3y+15)	$\frac{7}{5 y + 25} - \frac{4}{3 y + 15}$
173720	Solve for t	p=s_1t-s_2t	$p = s_{1} t - s_{2} t$
173721	Solve for x	2x^2+4x=3+3x^2	$2 x^{2} + 4 x = 3 + 3 x^{2}$
173722	Simplify	(x^4+8x^2+7)/(3x^5-3x)	$\frac{x^{4} + 8 x^{2} + 7}{3 x^{5} - 3 x}$
173723	Find the Discriminant	-40x+28=-4x^2-8x	$- 40 x + 28 = - 4 x^{2} - 8 x$
173724	Factor	P(x)=x^4-16	$P (x) = x^{4} - 16$
173725	Simplify	(4a^2b^-2)/(16a^-3b)	$\frac{4 a^{2} b^{- 2}}{16 a^{- 3} b}$
173726	Solve for x	log base 3 of 5x-2 log base 3 of 3=2	$\log_{3} (5 x) - 2 \log_{3} (3) = 2$
173727	Evaluate Using the Given Value	10m+(n^2)/4 when m=5 and n=4	$10 m + \frac{n^{2}}{4}$ when $m = 5$ and $n = 4$
173728	Evaluate	9/3+2(6)+5	$\frac{9}{3} + 2 (6) + 5$
173729	Find the Distance Between Two Points	(-5,4) and (2,6)	$(- 5, 4)$ and $(2, 6)$
173730	Solve for g	\|4g-5\|>17	$\| 4 g - 5 \| > 17$
173731	Find the Distance Between Two Points	(0,-1) and (3,2)	$(0, - 1)$ and $(3, 2)$
173732	Find the x and y Intercepts	f(x)=(-3x^2+9x-6)/(2x^2-8)	$f (x) = \frac{- 3 x^{2} + 9 x - 6}{2 x^{2} - 8}$
173733	Solve by Substitution	10x=y 2x+y=-24	$10 x = y$ $2 x + y = - 24$
173734	Write in Exponential Form	(4^6)(4^-8)	$(4^{6}) (4^{- 8})$
173735	Solve the Inequality for x	\|9-2x\|>11	$\| 9 - 2 x \| > 11$
173736	Solve for c	1/2+1/2c=-1/2	$\frac{1}{2} + \frac{1}{2} c = - \frac{1}{2}$
173737	Simplify	( square root of 27x)÷( square root of 48)	$\sqrt{27 x} \div \sqrt{48}$
173738	Solve the Inequality for x	3-(2x-7)<=34-6x	$3 - (2 x - 7) \leq 34 - 6 x$
173739	Simplify	15*(-4i+2)	$15 \cdot (- 4 i + 2)$
173740	Solve for x	-1/x-1/(x^2)=0	$- \frac{1}{x} - \frac{1}{x^{2}} = 0$
173741	Find the x and y Intercepts	y=-x/4+8	$y = - \frac{x}{4} + 8$
173742	Find the Holes in the Graph	f(x)=(x^2+x-12)/(3x^2-9x)	$f (x) = \frac{x^{2} + x - 12}{3 x^{2} - 9 x}$
173743	Find the Holes in the Graph	f(x)=(2x^2+16x)/(2x+16)	$f (x) = \frac{2 x^{2} + 16 x}{2 x + 16}$
173744	Graph	\|x-5\|<=3	$\| x - 5 \| \leq 3$
173745	Simplify	4x^2+(-(x^2-xy)+(-3y^2+2xy)-(-3x^2+y^2))	$4 x^{2} + (- (x^{2} - x y) + (- 3 y^{2} + 2 x y) - (- 3 x^{2} + y^{2}))$
173746	Simplify	8^-78^710^4*10^-4	$8^{- 7} \cdot 8^{7} \cdot 10^{4} \cdot 10^{- 4}$
173747	Write in Standard Form	(x+4)^2=5	${(x + 4)}^{2} = 5$
173748	Solve for x	17=5(3)^(x-4)-6	$17 = 5 {(3)}^{x - 4} - 6$
173749	Factor	x^3-2^3	$x^{3} - 2^{3}$
173750	Find the Holes in the Graph	f(x)=(x^2-6x-7)/(3x+3)	$f (x) = \frac{x^{2} - 6 x - 7}{3 x + 3}$
173751	Solve for c	\|10c\|=30	$\| 10 c \| = 30$
173752	Solve the Absolute Value Inequality for x	\|x\|=14	$\| x \| = 14$
173753	Solve the Inequality for q	36<2q	$36 < 2 q$
173754	Simplify	(2(n^2)^-5)/(6vn^-3)	$\frac{2 {(n^{2})}^{- 5}}{6 v n^{- 3}}$
173755	Write in Standard Form	t^4-1	$t^{4} - 1$
173756	Solve for Z	Z+26=11	$Z + 26 = 11$
173757	Solve the Inequality for x	5x^2+10>=27x	$5 x^{2} + 10 \geq 27 x$
173758	Simplify	12x-13-x-9+10x	$12 x - 13 - x - 9 + 10 x$
173759	Simplify	(p^-4q^5r^6)/(p^-3qr^-2)	$\frac{p^{- 4} q^{5} r^{6}}{p^{- 3} q r^{- 2}}$
173760	Graph	1/4\|x\|	$\frac{1}{4} \| x \|$
173761	Factor	9/25a^2-49/36b^2	$\frac{9}{25} a^{2} - \frac{49}{36} b^{2}$
173762	Solve for θ	sin(theta)-1=0	$\sin (θ) - 1 = 0$
173763	Find the Product	(-7p)^3	${(- 7 p)}^{3}$
173764	Simplify	3*(3+20i)	$3 \cdot (3 + 20 i)$
173765	Solve for x	\|5x+8\|=x	$\| 5 x + 8 \| = x$
173766	Solve for k	x^ky^4(2x^3+7x^2y^4)=2x^4y^4+7x^3y^8	$x^{k} y^{4} (2 x^{3} + 7 x^{2} y^{4}) = 2 x^{4} y^{4} + 7 x^{3} y^{8}$
173767	Graph	0.5g(x-2)+1	$0.5 g (x - 2) + 1$
173768	Graph	y=-(1/4x)^2+5	$y = - {(\frac{1}{4} x)}^{2} + 5$
173769	Solve the System of Inequalities	-20<=5/9(F-32)<=-15	$- 20 \leq \frac{5}{9} (F - 32) \leq - 15$
173770	Solve the System of Equations	x+y=7 5x-2y=-7	$x + y = 7$ $5 x - 2 y = - 7$
173771	Solve for x	(6x-7)^2+4=21	${(6 x - 7)}^{2} + 4 = 21$
173772	Solve for x	1/3(x+6)=2/3(x-9)	$\frac{1}{3} (x + 6) = \frac{2}{3} (x - 9)$
173773	Solve the System of Equations	2x+7y=1 -(5x)/8+y/4=17/8	$2 x + 7 y = 1$ $- \frac{5 x}{8} + \frac{y}{4} = \frac{17}{8}$
173774	Combine Like Terms	(9y^5+2)^2	${(9 y^{5} + 2)}^{2}$
173775	Find the Discriminant	-3x^2+8x+17=-4x^2+1	$- 3 x^{2} + 8 x + 17 = - 4 x^{2} + 1$
173776	Simplify	12a^2b+3ab^2-8a^2b-10ab^2-3a^2b+6ab^2	$12 a^{2} b + 3 a b^{2} - 8 a^{2} b - 10 a b^{2} - 3 a^{2} b + 6 a b^{2}$
173777	Write in Standard Form	square root of -0.09	$\sqrt{- 0.09}$
173778	Factor	(x+a)^2-2(x+a)(y+a)+(y+a)^2	${(x + a)}^{2} - 2 (x + a) (y + a) + {(y + a)}^{2}$
173779	Solve the System of Inequalities	-12<=x-9 and x-9>=-4	$- 12 \leq x - 9$ and $x - 9 \geq - 4$
173780	Convert to a Percentage	square root of 2	$\sqrt{2}$
173781	Solve the Inequality for x	x+2<=-5	$x + 2 \leq - 5$
173782	Solve for x	(2x-1)(x+5)=0	$(2 x - 1) (x + 5) = 0$
173783	Evaluate	2^1+1	$2^{1} + 1$
173784	Combine Like Terms	(6y^2+5y^4)^2	${(6 y^{2} + 5 y^{4})}^{2}$
173785	Write in Standard Form	-8-2x=4x-4-3x^2	$- 8 - 2 x = 4 x - 4 - 3 x^{2}$
173786	Graph Using a Table of Values	(1/4)^x	${(\frac{1}{4})}^{x}$
173787	Rationalize the Denominator	2/( square root of 3+ square root of 2)	$\frac{2}{\sqrt{3} + \sqrt{2}}$
173788	Solve for z	5(2z+4)=5z+4+7z	$5 (2 z + 4) = 5 z + 4 + 7 z$
173789	Graph	y=1/2 square root of x-4-2	$y = \frac{1}{2} \sqrt{x - 4} - 2$
173790	Graph	y>=2\|x-1\|-2	$y \geq 2 \| x - 1 \| - 2$
173791	Graph	f(x)=-1x^0	$f (x) = - 1 x^{0}$
173792	Evaluate	-1/2(5)+2	$- \frac{1}{2} (5) + 2$
173793	Evaluate	4*4^-1	$4 \cdot 4^{- 1}$
173794	Graph	y<=-x^2+3	$y \leq - x^{2} + 3$
173795	Find the Product	(0.5n^5)^2(10n^7)^3	${(0.5 n^{5})}^{2} {(10 n^{7})}^{3}$
173796	Subtract	(5x^3+4x^2)-(6x^2-2x-9)	$(5 x^{3} + 4 x^{2}) - (6 x^{2} - 2 x - 9)$
173797	Solve the Inequality for x	-24<2x-4<-10	$- 24 < 2 x - 4 < - 10$
173798	Graph	y=(2x)/3	$y = \frac{2 x}{3}$
173799	Solve for b	a=gmb ; for b	$a = g m b$ ; for $b$
173800	Simplify	((2a^2b^3c^2)/(a^3bc^3))^2	${(\frac{2 a^{2} b^{3} c^{2}}{a^{3} b c^{3}})}^{2}$