Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215701	Simplify	( fourth root of x^4y^6* square root of x^6)/y	$\frac{\sqrt[4]{x^{4} y^{6}} \cdot \sqrt{x^{6}}}{y}$
215702	Solve for x	16x/2=64	$16 \frac{x}{2} = 64$
215703	Multiply	3xy^2*(2xy+3y^2-cx^3)	$3 x y^{2} \cdot (2 x y + 3 y^{2} - c x^{3})$
215704	Graph	y+4=-4/3x	$y + 4 = - \frac{4}{3} x$
215705	Simplify	x^(2y-5)*x^(y+8)	$x^{2 y - 5} \cdot x^{y + 8}$
215706	Write in Standard Form	(x^2+2x-2)(2x^2+x+1)	$(x^{2} + 2 x - 2) (2 x^{2} + x + 1)$
215707	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+5x^3+x^2+2x+8 is divided by x+2	Use synthetic division to find the result when $2 x^{4} + 5 x^{3} + x^{2} + 2 x + 8$ is divided by $x + 2$
215708	Evaluate	(2x)/3-(5x)/9-x/6-(5x)/12=13/2	$\frac{2 x}{3} - \frac{5 x}{9} - \frac{x}{6} - \frac{5 x}{12} = \frac{13}{2}$
215709	Solve the System of Equations	-2a+3b=14 a-4b=3	$- 2 a + 3 b = 14$ $a - 4 b = 3$
215710	Graph	x^2-y^2<=8 x^2+y^2>=120	$x^{2} - y^{2} \leq 8$ $x^{2} + y^{2} \geq 120$
215711	Multiply	3a^3(5a^3+2a^2-3)	$3 a^{3} (5 a^{3} + 2 a^{2} - 3)$
215712	Convert to a Percentage	what percent of 50 is 20	what percent of $50$ is $20$
215713	Evaluate	square root of x-2-4=0	$\sqrt{x - 2} - 4 = 0$
215714	Simplify	(3x^2+2+4x)-(x+x^2+5)	$(3 x^{2} + 2 + 4 x) - (x + x^{2} + 5)$
215715	Evaluate	3^3=3^(4x+2)	$3^{3} = 3^{4 x + 2}$
215716	Solve for x	(x^4)/9-5=4	$\frac{x^{4}}{9} - 5 = 4$
215717	Solve for x	2 cube root of 1-3x+4=6	$2 \sqrt[3]{1 - 3 x} + 4 = 6$
215718	Find the Degree	xy^3-6xy	$x y^{3} - 6 x y$
215719	Factor	Factor: x^3+1	Factor: $x^{3} + 1$
215720	Simplify	((x^2+3x-28)/(x^2+4x+4))÷((x^2-49)/(x^2-5x-14))	$\frac{x^{2} + 3 x - 28}{x^{2} + 4 x + 4} \div \frac{x^{2} - 49}{x^{2} - 5 x - 14}$
215721	Simplify	8 square root of 16-2 cube root of 8+ fourth root of 16	$8 \sqrt{16} - 2 \sqrt[3]{8} + \sqrt[4]{16}$
215722	Solve for x	square root of x+3+8=7	$\sqrt{x + 3 + 8} = 7$
215723	Simplify	ab(a^2+b^2)	$a b (a^{2} + b^{2})$
215724	Simplify the Radical Expression	square root of 20/45	$\sqrt{\frac{20}{45}}$
215725	Describe the Transformation	g(x)=-5x^3	$g (x) = - 5 x^{3}$
215726	Solve for c	a=c/(2b)	$a = \frac{c}{2 b}$
215727	Write in Standard Form	y=(x-3)(x+3)	$y = (x - 3) (x + 3)$
215728	Simplify	(11i)/( square root of 2i)	$\frac{11 i}{\sqrt{2} i}$
215729	Solve for a	-2(6a-1)=-5/3(3a+15)+6	$- 2 (6 a - 1) = - \frac{5}{3} (3 a + 15) + 6$
215730	Simplify	15 root of x^10b^15	$\sqrt[15]{x^{10}} b^{15}$
215731	Simplify	3 square root of 5( square root of 5+3)	$3 \sqrt{5} (\sqrt{5} + 3)$
215732	Solve for x	1/(4x)=3/(2x-6)	$\frac{1}{4 x} = \frac{3}{2 x - 6}$
215733	Solve the Inequality for x	-2x+3+x>-x-1	$- 2 x + 3 + x > - x - 1$
215734	Simplify	4^05^-26^-1*100^01/(2^-1) ?	$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0} \frac{1}{2^{- 1}}$ ?
215735	Simplify	cos(x)sec(x)-(cos(x))/(sec(x))	$\cos (x) \sec (x) - \frac{\cos (x)}{\sec (x)}$
215736	Convert to Interval Notation	-7\|x-6\|>-56	$- 7 \| x - 6 \| > - 56$
215737	Find the LCD	3/(4x) , 7/(2x) , 11/(12x)	$\frac{3}{4 x}$ , $\frac{7}{2 x}$ , $\frac{11}{12 x}$
215738	Simplify	9m^7n3m^2n^2-4m^45m^5n^3	$9 m^{7} n \cdot 3 m^{2} n^{2} - 4 m^{4} \cdot 5 m^{5} n^{3}$
215739	Solve for x	3/(2x)-1/(2(x+8))=1	$\frac{3}{2 x} - \frac{1}{2 (x + 8)} = 1$
215740	Simplify	(7x^4+x^3)-(6x^4+4x^3+3)	$(7 x^{4} + x^{3}) - (6 x^{4} + 4 x^{3} + 3)$
215741	Find Where Undefined/Discontinuous	f(x)=(5x+1)/(x^2+4)	$f (x) = \frac{5 x + 1}{x^{2} + 4}$
215742	Identify the Zeros and Their Multiplicities	h(x)=-2x(x-1)(3-x)^2	$h (x) = - 2 x (x - 1) {(3 - x)}^{2}$
215743	Divide Using Long Polynomial Division	(8x^4-64x^3+3x-28)÷(x-8)	$(8 x^{4} - 64 x^{3} + 3 x - 28) \div (x - 8)$
215744	Evaluate	10 = square root of 14r+2	$10 = \sqrt{14 r + 2}$
215745	Graph	y=(2x^2-3x-2)/(x^2-2)	$y = \frac{2 x^{2} - 3 x - 2}{x^{2} - 2}$
215746	Evaluate	1/( square root of 3/2)	$\frac{1}{\sqrt{\frac{3}{2}}}$
215747	Solve for x	-5/2(6x+24)=x-12	$- \frac{5}{2} (6 x + 24) = x - 12$
215748	Solve the Inequality for x	2x=6	$2 x = 6$
215749	Simplify	(-2)^3(3)^0	${(- 2)}^{3} {(3)}^{0}$
215750	Solve for n	625^(3n)=25	$625^{3 n} = 25$
215751	Convert to Rectangular	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3 i})}^{6}$
215752	Solve for x	log base y of x+ log base y of 3 = log base y of 27-1	$\log_{y} (x) + \log_{y} (3) = \log_{y} (27) - 1$
215753	Solve for c	(2c)/15=8.8	$\frac{2 c}{15} = 8.8$
215754	Divide	(-1/4)÷(-1/2)	$\frac{- 1}{4} \div \frac{- 1}{2}$
215755	Simplify	(1+i)+(1-i)	$(1 + i) + (1 - i)$
215756	Write in Standard Form	(x^2+3x+2)(x^2-3x-4)	$(x^{2} + 3 x + 2) (x^{2} - 3 x - 4)$
215757	Solve for x	2 cube root of 3x+2 = cube root of 4x-9	$2 \sqrt[3]{3 x + 2} = \sqrt[3]{4 x - 9}$
215758	Solve the Inequality for m	3\|m+7\|+9<30	$3 \| m + 7 \| + 9 < 30$
215759	Simplify	((2^-1)/(2^0))^3	${(\frac{2^{- 1}}{2^{0}})}^{3}$
215760	Solve the System of Equations	-2x+y=15 and 3x+2y=-33	$- 2 x + y = 15$ and $3 x + 2 y = - 33$
215761	Solve for x	square root of 100=2x	$\sqrt{100} = 2 x$
215762	Simplify	11x+2x^2+-7x-3x^2+4	$11 x + 2 x^{2} + - 7 x - 3 x^{2} + 4$
215763	Simplify	Simplify cube root of -216x^3y^12	Simplify $\sqrt[3]{- 216 x^{3} y^{12}}$
215764	Solve for a	3/5=(a+5)/25	$\frac{3}{5} = \frac{a + 5}{25}$
215765	Simplify	1/3-5/6	$\frac{1}{3} - \frac{5}{6}$
215766	Find the x and y Intercepts	(x^2+x)/(4x+4)	$\frac{x^{2} + x}{4 x + 4}$
215767	Solve for f	fx+4=-11+2(x+3)	$f x + 4 = - 11 + 2 (x + 3)$
215768	Simplify	(6m)(7m^2n)(n^4)	$(6 m) (7 m^{2} n) (n^{4})$
215769	Simplify	(2x^2y^-3z^-1)^-2	${(2 x^{2} y^{- 3} z^{- 1})}^{- 2}$
215770	Solve for x	x+7+7/2=(3x-7)/10	$x + 7 + \frac{7}{2} = \frac{3 x - 7}{10}$
215771	Solve for p	5+ square root of p+10=6	$5 + \sqrt{p + 10} = 6$
215772	Divide Using Synthetic Division	(42x^2-33)÷(7x+7)	$(42 x^{2} - 33) \div (7 x + 7)$
215773	Solve the Inequality for y	x-3y<=-6	$x - 3 y \leq - 6$
215774	Simplify	(7x+4)/(8y)-(3x-1)/(6y)	$\frac{7 x + 4}{8 y} - \frac{3 x - 1}{6 y}$
215775	Simplify	(x^2-4x-21)/(x^2-6x+8)*(x-4)/(x^2-2x-35)	$\frac{x^{2} - 4 x - 21}{x^{2} - 6 x + 8} \cdot \frac{x - 4}{x^{2} - 2 x - 35}$
215776	Evaluate	3 log of 2x=4	$3 \log (2 x) = 4$
215777	Solve the Inequality for x	2x^2+19x-28>9x	$2 x^{2} + 19 x - 28 > 9 x$
215778	Divide	(45v^4+18v^3+4v^2)÷9v^3	$(45 v^{4} + 18 v^{3} + 4 v^{2}) \div 9 v^{3}$
215779	Find the Domain of the Composition f(g(x))	f(x)=4x^2 , g(x)=(2x)/4	$f (x) = 4 x^{2}$ , $g (x) = \frac{2 x}{4}$
215780	Solve for h	-8(-h-3)=-16h	$- 8 (- h - 3) = - 16 h$
215781	Find All Complex Solutions	tan(x)sin(x)^2=tan(x)	$\tan (x) \sin^{2} (x) = \tan (x)$
215782	Solve the System of Equations	2x^2+8y^2=16 x^2+y^2=5	$2 x^{2} + 8 y^{2} = 16$ $x^{2} + y^{2} = 5$
215783	Solve for x	2^(-x+1)=-3/4x+3	$2^{- x + 1} = - \frac{3}{4} x + 3$
215784	Solve for x	-x+6 = square root of x+4+3	$- x + 6 = \sqrt{x + 4} + 3$
215785	Find the Product	5r^2s^2(-2r^2+3rs-4s^2)	$5 r^{2} s^{2} (- 2 r^{2} + 3 r s - 4 s^{2})$
215786	Solve for y	-2y+5+y^2=-6y+2y^2	$- 2 y + 5 + y^{2} = - 6 y + 2 y^{2}$
215787	Divide	( cube root of 3)/( square root of 3)	$\frac{\sqrt[3]{3}}{\sqrt{3}}$
215788	Solve the Inequality for y	-3x+6y<=30	$- 3 x + 6 y \leq 30$
215789	Write as a Single Logarithm	log of 4- log of z+4 log of y	$\log (4) - \log (z) + 4 \log (y)$
215790	Solve the Inequality for x	(x-3)/2-1/6<=(x-5)/3	$\frac{x - 3}{2} - \frac{1}{6} \leq \frac{x - 5}{3}$
215791	Solve for u	8u+8=-40u-7	$8 u + 8 = - 40 u - 7$
215792	Solve for y	4-4y-y^2=0	$4 - 4 y - y^{2} = 0$
215793	Solve for θ	sin(2theta)=sin(theta)	$\sin (2 θ) = \sin (θ)$
215794	Graph	x+y<=2 and y<=-2	$x + y \leq 2$ and $y \leq - 2$
215795	Find the Roots (Zeros)	(x+5)(x-5)=-9	$(x + 5) (x - 5) = - 9$
215796	Evaluate	7(5)^(5/3)+49(5)^(2/3)	$7 {(5)}^{\frac{5}{3}} + 49 {(5)}^{\frac{2}{3}}$
215797	Solve for n	-19=-3-n^2	$- 19 = - 3 - n^{2}$
215798	Simplify the Radical Expression	square root of 49/(y^2)	$\sqrt{\frac{49}{y^{2}}}$
215799	Evaluate	2 square root of 5x-4-3=-11	$2 \sqrt{5 x - 4} - 3 = - 11$
215800	Convert to a Decimal	24deg	$24$ degrees