Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235901	Solve for x	-2.4(x-6)>=52.8	$- 2.4 (x - 6) \geq 52.8$
235902	Simplify	14+(2c)/c	$14 + \frac{2 c}{c}$
235903	Graph	y = log base x of 2	$y = \log_{x} (2)$
235904	Simplify	(-9-6i)/(-3-2i)	$\frac{- 9 - 6 i}{- 3 - 2 i}$
235905	Find the Exact Value	(3-2i)+(7-3i)	$(3 - 2 i) + (7 - 3 i)$
235906	Subtract	9/x-5/(3x)	$\frac{9}{x} - \frac{5}{3 x}$
235907	Solve the System of Inequalities	y>1/2x-2 y<-x-5	$y > \frac{1}{2} x - 2$ $y < - x - 5$
235908	Simplify	(- square root of 2)/(- square root of 2)	$\frac{- \sqrt{2}}{- \sqrt{2}}$
235909	Simplify	(8x^2y)/((4xy)^2)	$\frac{8 x^{2} y}{{(4 x y)}^{2}}$
235910	Simplify	( square root of 27)/( fourth root of 27)	$\frac{\sqrt{27}}{\sqrt[4]{27}}$
235911	Convert to a Percentage	12in to 36in	$12 inches$ to $36 inches$
235912	Solve for x	square root of x-3<=7	$\sqrt{x - 3} \leq 7$
235913	Simplify	3(3x^2+2x-10)+9	$3 (3 x^{2} + 2 x - 10) + 9$
235914	Evaluate	1^(-1/2)	$1^{\frac{- 1}{2}}$
235915	Evaluate	pi-0.5	$π - 0.5$
235916	Simplify	sixth root of a* cube root of a* square root of a	$\sqrt[6]{a} \cdot \sqrt[3]{a} \cdot \sqrt[2]{a}$
235917	Evaluate	(x^6)^(1/2)	${(x^{6})}^{\frac{1}{2}}$
235918	Evaluate	(6a^10b^9)/(3ab^3)	$\frac{6 a^{10} b^{9}}{3 a b^{3}}$
235919	Solve for x	(ax+b)/c-d=e	$\frac{a x + b}{c} - d = e$
235920	Factor	x^2+bx-ax-ab	$x^{2} + b x - a x - a b$
235921	Solve the Absolute Value Inequality for x	\|x/2-3\|=1	$\| \frac{x}{2} - 3 \| = 1$
235922	Solve the Rational Equation for x	square root of 6x+1-8=3	$\sqrt{6 x + 1} - 8 = 3$
235923	Find the Domain and Range	F(x)=x^3-6x^2+8x	$F (x) = x^{3} - 6 x^{2} + 8 x$
235924	Simplify	(z^a*z^b)/(z^c)	$\frac{z^{a} \cdot z^{b}}{z^{c}}$
235925	Graph	h(x)=(x+2)^2(x+1)	$h (x) = {(x + 2)}^{2} (x + 1)$
235926	Evaluate	(x^2+3x-9)(4-x)^-1	$(x^{2} + 3 x - 9) {(4 - x)}^{- 1}$
235927	Simplify the Radical Expression	( cube root of 250x^7y^3)/( cube root of 2x^2y)	$\frac{\sqrt[3]{250 x^{7} y^{3}}}{\sqrt[3]{2 x^{2} y}}$
235928	Solve for x	(x-3)^4=21	${(x - 3)}^{4} = 21$
235929	Evaluate	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
235930	Evaluate	(x^6)/(x^-2*x^4)	$\frac{x^{6}}{x^{- 2} \cdot x^{4}}$
235931	Solve for x	6x+10=6x+0.2(x-7.8)+1	$6 x + 10 = 6 x + 0.2 (x - 7.8) + 1$
235932	Simplify	(5c^2-15c^3)/(20c^2d+25c^2)	$\frac{5 c^{2} - 15 c^{3}}{20 c^{2} d + 25 c^{2}}$
235933	Solve the Absolute Value Inequality for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
235934	Simplify	2 square root of 2x(3 square root of 6x^3-4 square root of 8y+7 square root of xy^2)	$2 \sqrt{2 x} (3 \sqrt{6 x^{3}} - 4 \sqrt{8 y} + 7 \sqrt{x y^{2}})$
235935	Simplify	8/(4x^-4)	$\frac{8}{4 x^{- 4}}$
235936	Solve for x	x^2=(x+4)(x-4)+16	$x^{2} = (x + 4) (x - 4) + 16$
235937	Evaluate	(2^(2/5))/2	$\frac{2^{\frac{2}{5}}}{2}$
235938	Evaluate	16^(1/2)*2^-3	$16^{\frac{1}{2}} \cdot 2^{- 3}$
235939	Find the Exact Value	cos(-810 degrees )	$\cos (- 810 °)$
235940	Solve for x	x^2>2	$x^{2} > 2$
235941	Solve for x	sec(x)^2+3sec(x)+2=0	$\sec^{2} (x) + 3 \sec (x) + 2 = 0$
235942	Evaluate	e^(2infinity)	$e^{2 \infty}$
235943	Solve the System of Equations	3x-9y-3z=6 2x-7y-4z=8 4x-8y+4z=-8	$3 x - 9 y - 3 z = 6$ $2 x - 7 y - 4 z = 8$ $4 x - 8 y + 4 z = - 8$
235944	Solve for x	(13k+10x)+(-8x-9k)=12k	$(13 k + 10 x) + (- 8 x - 9 k) = 12 k$
235945	Simplify	4(0.5x+2.5y-0.7x-1.3y+4)	$4 (0.5 x + 2.5 y - 0.7 x - 1.3 y + 4)$
235946	Evaluate	(x^-2)/(x^-6*x^-6)	$\frac{x^{- 2}}{x^{- 6} \cdot x^{- 6}}$
235947	Solve for x	log base x of 2x+3=2	$\log_{x} (2 x + 3) = 2$
235948	Evaluate	-pi/6+pi/2	$- \frac{π}{6} + \frac{π}{2}$
235949	Evaluate	3m^-8p^0	$3 m^{- 8} p^{0}$
235950	Solve for w	(6w-1)/5-3w=(12w-16)/15	$\frac{6 w - 1}{5} - 3 w = \frac{12 w - 16}{15}$
235951	Solve for x	3^(x+2)-3^(x+1)=18	$3^{x + 2} - 3^{x + 1} = 18$
235952	Solve for a	a/2=13/20	$\frac{a}{2} = \frac{13}{20}$
235953	Simplify the Radical Expression	square root of 9+ square root of -27+ square root of 100- square root of -3	$\sqrt{9} + \sqrt{- 27} + \sqrt{100} - \sqrt{- 3}$
235954	Multiply	(1/2c^3d)^5	${(\frac{1}{2} c^{3} d)}^{5}$
235955	Write as a Single Logarithm	3/2 natural log of 16x^8-1/5 natural log of 2y^25	$\frac{3}{2} \ln (16 x^{8}) - \frac{1}{5} \ln (2 y^{25})$
235956	Simplify	(sin((11pi)/6)-cos(pi/6))/(sin(-pi/3)+cos((5pi)/6))	$\frac{\sin (\frac{11 π}{6}) - \cos (\frac{π}{6})}{\sin (- \frac{π}{3}) + \cos (\frac{5 π}{6})}$
235957	Simplify	5+4m^2+7m-m^2+3m-13	$5 + 4 m^{2} + 7 m - m^{2} + 3 m - 13$
235958	Evaluate Using the Given Value	x-y+6 ; use x=6 ; and y=1	$x - y + 6$ ; use $x = 6$ ; and $y = 1$
235959	Evaluate	fourth root of (16x^11y^8)/(81x^7y^6)	$\sqrt[4]{\frac{16 x^{11} y^{8}}{81 x^{7} y^{6}}}$
235960	Simplify	fourth root of x*x^2	$\sqrt[4]{x} \cdot x^{2}$
235961	Solve for x	9-x<=17	$9 - x \leq 17$
235962	Find the Equation Using Point-Slope Formula	(3,-2) and (5,-9)	$(3, - 2)$ and $(5, - 9)$
235963	Simplify	(x^3-1)/(x^3+x^2+x)	$\frac{x^{3} - 1}{x^{3} + x^{2} + x}$
235964	Find the Roots (Zeros)	cos(x)-sin(x)=0	$\cos (x) - \sin (x) = 0$
235965	Evaluate	-1/5(3/8-5/6)	$- \frac{1}{5} (\frac{3}{8} - \frac{5}{6})$
235966	Solve for k	7k-8+2(k+12)=52	$7 k - 8 + 2 (k + 12) = 52$
235967	Find the Function	f(x)=(x-1)^3+2	$f (x) = {(x - 1)}^{3} + 2$
235968	Expand Using the Binomial Theorem	(q^2+4/7)^2	${(q^{2} + \frac{4}{7})}^{2}$
235969	Solve for x	2^x-1=0	$2^{x} - 1 = 0$
235970	Find the Roots (Zeros)	5x^4+7x^8-x^12	$5 x^{4} + 7 x^{8} - x^{12}$
235971	Convert to Radical Form	((4^(5/4)*4^(1/4))/(4^(1/2)))^(1/2)	${(\frac{4^{\frac{5}{4}} \cdot 4^{\frac{1}{4}}}{4^{\frac{1}{2}}})}^{\frac{1}{2}}$
235972	Simplify	(4-5xi)(1+i)-(4-5xi)(5+i)	$(4 - 5 x i) (1 + i) - (4 - 5 x i) (5 + i)$
235973	Solve the System of Equations	x+y=-1 and 5x-7y=79	$x + y = - 1$ and $5 x - 7 y = 79$
235974	Convert to Radical Form	((12)^(3/4))/((4)^(1/4))	$\frac{{(12)}^{\frac{3}{4}}}{{(4)}^{\frac{1}{4}}}$
235975	Solve the System of Inequalities	-1+9y>-73 and (y-4)/-3>2	$- 1 + 9 y > - 73$ and $\frac{y - 4}{- 3} > 2$
235976	Write in Standard Form	-3i(7i-5)	$- 3 i (7 i - 5)$
235977	Solve for x	square root of x^2-1=x-2	$\sqrt{x^{2} - 1} = x - 2$
235978	Simplify the Radical Expression	8 5/3	$8 \frac{5}{3}$
235979	Simplify	((3-4i)/5)^-1	${(\frac{(3 - 4 i)}{5})}^{- 1}$
235980	Find the GCF	8c^2+7c	$8 c^{2} + 7 c$
235981	Subtract	(4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)	$(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x)$
235982	Write in Standard Form	9+2x^3-7x^3-2x^3	$9 + 2 x^{3} - 7 x^{3} - 2 x^{3}$
235983	Evaluate	(7x^(3/2))/(-14x^(1/3))	$\frac{7 x^{\frac{3}{2}}}{- 14 x^{\frac{1}{3}}}$
235984	Solve for a	ax+2ay=0	$a x + 2 a y = 0$
235985	Simplify	(8^-2x^-3y^11)/(x^2y^-5)	$\frac{8^{- 2} x^{- 3} y^{11}}{x^{2} y^{- 5}}$
235986	Write the Fraction in Simplest Form	(-3(u^3c^-5)^-3)/(2u^-5c^9)	$\frac{- 3 {(u^{3} c^{- 5})}^{- 3}}{2 u^{- 5} c^{9}}$
235987	Solve for x	2 square root of 10+3x = square root of 7+x	$2 \sqrt{10 + 3 x} = \sqrt{7 + x}$
235988	Evaluate	cube root of 27x-81-5	$\sqrt[3]{27 x - 81} - 5$
235989	Convert to Radical Form	2a^(1/2)b^(1/3)c^(1/4)	$2 a^{\frac{1}{2}} b^{\frac{1}{3}} c^{\frac{1}{4}}$
235990	Find the Inverse	4( cube root of x+10)	$4 (\sqrt[3]{x} + 10)$
235991	Solve Using the Quadratic Formula	x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6$
235992	Simplify	3(x-3y+7)+4+7x	$3 (x - 3 y + 7) + 4 + 7 x$
235993	Combine Like Terms	-3x-7(x+4)	$- 3 x - 7 (x + 4)$
235994	Solve the Inequality for x	3x<4-5x<5+3x	$3 x < 4 - 5 x < 5 + 3 x$
235995	Factor by Grouping	x^5+5x^2-4x^3-20	$x^{5} + 5 x^{2} - 4 x^{3} - 20$
235996	Simplify	Simplify 15c^-8d^0	Simplify $15 c^{- 8} d^{0}$
235997	Solve the System of Equations	x-2y=-4 y=1/2x+2	$x - 2 y = - 4$ $y = \frac{1}{2} x + 2$
235998	Solve the Inequality for x	-30+5x>4(6+8x)	$- 30 + 5 x > 4 (6 + 8 x)$
235999	Solve for n	5n^2=9n	$5 n^{2} = 9 n$
236000	Divide Using Synthetic Division	(3x^3+19x^2+x-21)÷(x+6)	$(3 x^{3} + 19 x^{2} + x - 21) \div (x + 6)$