Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171701	Evaluate	64+3^3-4(6-2)^2	$64 + 3^{3} - 4 {(6 - 2)}^{2}$
171702	Multiply	(3x)/4*8/9	$\frac{3 x}{4} \cdot \frac{8}{9}$
171703	Find the Function	f(x)=x+8	$f (x) = x + 8$
171704	Simplify	(-5/x)^2	${(- \frac{5}{x})}^{2}$
171705	Solve for m	-3(2m+1)+7=-5	$- 3 (2 m + 1) + 7 = - 5$
171706	Find the Function	f(x)=-x^2	$f (x) = - x^{2}$
171707	Evaluate	cos(x)=( square root of 3)/2	$\cos (x) = \frac{\sqrt{3}}{2}$
171708	Simplify	(10p^-2y^5)/(-2(p^4y^2)^4)	$\frac{10 p^{- 2} y^{5}}{- 2 {(p^{4} y^{2})}^{4}}$
171709	Solve the Inequality for x	(-x)/(x-3)>=0	$\frac{- x}{x - 3} \geq 0$
171710	Simplify	(y+(y-3)/3)/(5/9+2/(3y))	$\frac{y + \frac{y - 3}{3}}{\frac{5}{9} + \frac{2}{3 y}}$
171711	Solve for x	3+3/2x+4=4x-5/2x	$3 + \frac{3}{2} x + 4 = 4 x - \frac{5}{2} x$
171712	Describe the Transformation	f(x)=-2x^2-3	$f (x) = - 2 x^{2} - 3$
171713	Solve for y	w=x^2-2yz	$w = x^{2} - 2 y z$
171714	Solve the System of Inequalities	18>=x+8>=11	$18 \geq x + 8 \geq 11$
171715	Solve the Inequality for b	2/7>b+5/7	$\frac{2}{7} > b + \frac{5}{7}$
171716	Evaluate	(1/3)^(-2/5)*96^(-2/5)	${(\frac{1}{3})}^{- \frac{2}{5}} \cdot 96^{- \frac{2}{5}}$
171717	Simplify	2x+(-5x-(-2y+(-x+y)))	$2 x + (- 5 x - (- 2 y + (- x + y)))$
171718	Solve the Inequality for n	n-9<4	$n - 9 < 4$
171719	Solve for y	(12y-1)/2=(9y+8)/5	$\frac{12 y - 1}{2} = \frac{9 y + 8}{5}$
171720	Convert to Polar	x^2+y^2-2x=0	$x^{2} + y^{2} - 2 x = 0$
171721	Simplify	(3+ square root of -5)(7- square root of -10)	$(3 + \sqrt{- 5}) (7 - \sqrt{- 10})$
171722	Subtract	(2m^2+10m+1) from (-8m^2-8m+12)	$(2 m^{2} + 10 m + 1)$ from $(- 8 m^{2} - 8 m + 12)$
171723	Solve for x	3^(x^2+5x)=9^-3	$3^{x^{2} + 5 x} = 9^{- 3}$
171724	Solve for x	log base 5 of 3x+3 log base 5 of 3=5	$\log_{5} (3 x) + 3 \log_{5} (3) = 5$
171725	Solve the Inequality for f	f+8<=12	$f + 8 \leq 12$
171726	Solve the Inequality for x	(1/10)^(x+5)>=(1/100)^(3x)	${(\frac{1}{10})}^{x + 5} \geq {(\frac{1}{100})}^{3 x}$
171727	Find the Roots (Zeros)	P(x)=-2(x-3)(x-11)	$P (x) = - 2 (x - 3) (x - 11)$
171728	Simplify	(2x+1)/x+3/(x^2)	$\frac{2 x + 1}{x} + \frac{3}{x^{2}}$
171729	Solve for m	9(m+5)-3(m-2)=8m+31	$9 (m + 5) - 3 (m - 2) = 8 m + 31$
171730	Simplify	2/(1+ square root of 5)	$\frac{2}{1 + \sqrt{5}}$
171731	Solve for x	(2x-1)/(x+2)=(2x+5)/(x+3)	$\frac{2 x - 1}{x + 2} = \frac{2 x + 5}{x + 3}$
171732	Solve for θ	4cos(theta)^2=2	$4 \cos^{2} (θ) = 2$
171733	Solve for z	100(z-0.2)=-10(5z+0.8)	$100 (z - 0.2) = - 10 (5 z + 0.8)$
171734	Simplify	(-5m^-5)/(-3(m^-5)^4)	$\frac{- 5 m^{- 5}}{- 3 {(m^{- 5})}^{4}}$
171735	Solve the Absolute Value Inequality for x	\|x-8\|>4	$\| x - 8 \| > 4$
171736	Factor	(a+b-1)(a^2+1)-a^2-1	$(a + b - 1) (a^{2} + 1) - a^{2} - 1$
171737	Simplify	(2y)/(y^2-5y)-(-3y)/(y-5)	$\frac{2 y}{y^{2} - 5 y} - \frac{- 3 y}{y - 5}$
171738	Graph Using a Table of Values	y=x^3+1	$y = x^{3} + 1$
171739	Simplify	(-7)^(5/3)*(1/56)^(5/3)	${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$
171740	Graph	g(x)=-5f(x)	$g (x) = - 5 f (x)$
171741	Solve for x	y = cube root of x-2	$y = \sqrt[3]{x - 2}$
171742	Simplify	(5+i)/(3i)	$\frac{5 + i}{3 i}$
171743	Solve for x	cos(x)=-sin(x)^2-1	$\cos (x) = - \sin^{2} (x) - 1$
171744	Solve the Inequality for x	-2(8x-4)<2x+5	$- 2 (8 x - 4) < 2 x + 5$
171745	Simplify	5(3x^2+9x)-14	$5 (3 x^{2} + 9 x) - 14$
171746	Divide	(4/7)÷(2/3)	$\frac{4}{7} \div \frac{2}{3}$
171747	Divide	((a-b)/(a+b))÷(b/a)	$\frac{a - b}{a + b} \div \frac{b}{a}$
171748	Solve by Substitution	y=-x^2+2x+10 y=x+4	$y = - x^{2} + 2 x + 10$ $y = x + 4$
171749	Solve for m	y=3x^2+7x+m	$y = 3 x^{2} + 7 x + m$
171750	Evaluate	(x^2)/(x^2)	$\frac{x^{2}}{x^{2}}$
171751	Evaluate	square root of 8^2-425	$\sqrt{8^{2} - 4 \cdot 2 \cdot 5}$
171752	Simplify	(3pq^4)^2(6p^6q)^2	${(3 p q^{4})}^{2} {(6 p^{6} q)}^{2}$
171753	Simplify	((2k^5)^-3)/(2j^5k^3)	$\frac{{(2 k^{5})}^{- 3}}{2 j^{5} k^{3}}$
171754	Solve for x	30kx-6kx=8 for x	$30 k x - 6 k x = 8$ for $x$
171755	Simplify	((2p^-1)^5)/(6j^-8p^-8)	$\frac{{(2 p^{- 1})}^{5}}{6 j^{- 8} p^{- 8}}$
171756	Solve for x	4(x-1)=1/2(x-8)	$4 (x - 1) = \frac{1}{2} (x - 8)$
171757	Factor	(x^3-y^3)	$(x^{3} - y^{3})$
171758	Find the Roots (Zeros)	P(x)=3x^4+4x-8	$P (x) = 3 x^{4} + 4 x - 8$
171759	Solve the Inequality for x	(x^2+1)/(5x+11)<=0	$\frac{x^{2} + 1}{5 x + 11} \leq 0$
171760	Solve the Inequality for x	(3x+1)/(x-1)>=2	$\frac{3 x + 1}{x - 1} \geq 2$
171761	Simplify	((-8x^3y^2)^2*2x^2y^6)/(32x^8y^3)	$\frac{{(- 8 x^{3} y^{2})}^{2} \cdot 2 x^{2} y^{6}}{32 x^{8} y^{3}}$
171762	Solve the System of Equations	-x+y=-3 3x+2y=9	$- x + y = - 3$ $3 x + 2 y = 9$
171763	Simplify	(x+2)/x-(x+3)	$\frac{x + 2}{x} - (x + 3)$
171764	Find the Exact Value	(2/3)^5*(2/3)^3	${(\frac{2}{3})}^{5} \cdot {(\frac{2}{3})}^{3}$
171765	Solve for n	5^n=5^11*5^3	$5^{n} = 5^{11} \cdot 5^{3}$
171766	Solve for k	19-2k=3k-1	$19 - 2 k = 3 k - 1$
171767	Solve for x	4g+r=2r-2x	$4 g + r = 2 r - 2 x$
171768	Solve for x	8+6x-10x=16-8x	$8 + 6 x - 10 x = 16 - 8 x$
171769	Solve the Absolute Value Inequality for n	\|4n-15\|=\|n\|	$\| 4 n - 15 \| = \| n \|$
171770	Solve for x	-8-x=-3(2x-4)+3x	$- 8 - x = - 3 (2 x - 4) + 3 x$
171771	Find the x and y Intercepts	2	$2$
171772	Solve for w	a=2lw+2wh+2hl	$a = 2 l w + 2 w h + 2 h l$
171773	Solve the Inequality for x	3+x>-7	$3 + x > - 7$
171774	Simplify	(3x-5)(4-9x)+(2x+1)(6x^2+5)	$(3 x - 5) (4 - 9 x) + (2 x + 1) (6 x^{2} + 5)$
171775	Find the Function	f(x)=x^2-5x	$f (x) = x^{2} - 5 x$
171776	Solve the Absolute Value Inequality for p	4\|p-3\|=\|2p+8\|	$4 \| p - 3 \| = \| 2 p + 8 \|$
171777	Solve for θ	4sin(theta)+7=5	$4 \sin (θ) + 7 = 5$
171778	Solve for x	x=5x+6	$x = 5 x + 6$
171779	Simplify	((-3x^5m^-3)^5)/(12x^-1m^2)	$\frac{{(- 3 x^{5} m^{- 3})}^{5}}{12 x^{- 1} m^{2}}$
171780	Solve for x	(x^(3/2))/(x-6)=x-8	$\frac{x^{\frac{3}{2}}}{x - 6} = x - 8$
171781	Solve for t	1000=5(10^(2t))	$1000 = 5 (10^{2 t})$
171782	Graph Using a Table of Values	y=2\|x\|	$y = 2 \| x \|$
171783	Simplify the Radical Expression	cube root of 27	$\sqrt[3]{27}$
171784	Evaluate	log of x+ log of x+3=1	$\log (x) + \log (x + 3) = 1$
171785	Solve the Inequality for x	4-2x>7-3x	$4 - 2 x > 7 - 3 x$
171786	Solve for x	x-(2x+7)/(x+6)=5/(x+6)	$x - \frac{2 x + 7}{x + 6} = \frac{5}{x + 6}$
171787	Divide	(6p^2q^2-9p^2q+12pq^2)÷(-3pq)	$(6 p^{2} q^{2} - 9 p^{2} q + 12 p q^{2}) \div (- 3 p q)$
171788	Solve the Absolute Value Inequality for j	\|3j-1\|+6>0	$\| 3 j - 1 \| + 6 > 0$
171789	Solve the Inequality for x	x^3-x^2-90x<0	$x^{3} - x^{2} - 90 x < 0$
171790	Simplify	(1+sec(t))/(1+cos(t))	$\frac{1 + \sec (t)}{1 + \cos (t)}$
171791	Simplify	(- square root of -2)( square root of -5)	$(- \sqrt{- 2}) (\sqrt{- 5})$
171792	Solve for c	\|3c\|=21	$\| 3 c \| = 21$
171793	Evaluate	2/5k-3/5+1/10k	$\frac{2}{5} k - \frac{3}{5} + \frac{1}{10} k$
171794	Simplify	4/(2x^2)+1/(3x)	$\frac{4}{2 x^{2}} + \frac{1}{3 x}$
171795	Describe the Transformation	f(2x)	$f (2 x)$
171796	Graph	4x^2>y-3	$4 x^{2} > y - 3$
171797	Simplify	(2 fourth root of 8y^2)(-2 fourth root of 12y^3)	$(2 \sqrt[4]{8 y^{2}}) (- 2 \sqrt[4]{12 y^{3}})$
171798	Solve for p	53=5\|p-4\|+8	$53 = 5 \| p - 4 \| + 8$
171799	Graph	f(x)=x^3+x+3	$f (x) = x^{3} + x + 3$
171800	Write in Standard Form	p(x)=1/2x^2+3x-4x^3+6x^4-1	$p (x) = \frac{1}{2} x^{2} + 3 x - 4 x^{3} + 6 x^{4} - 1$