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Algebra

Rank	Topic	Problem	Formatted Problem
238601	Solve for x	4(3x-3)^(2/3)=36	$4 {(3 x - 3)}^{\frac{2}{3}} = 36$
238602	Simplify the Radical Expression	(3+ square root of 8)/(2-2 square root of 8)	$\frac{3 + \sqrt{8}}{2 - 2 \sqrt{8}}$
238603	Simplify the Radical Expression	square root of -9+ square root of -25- square root of -5	$\sqrt{- 9} + \sqrt{- 25} - \sqrt{- 5}$
238604	Simplify	(9x-x^2)(3+ square root of x)	$(9 x - x^{2}) (3 + \sqrt{x})$
238605	Solve for v	10^-410^9=10^(v+4)10^(2v-11)	$10^{- 4} \cdot 10^{9} = 10^{v + 4} \cdot 10^{2 v - 11}$
238606	Find the LCM	b+8 , 7b-3	$b + 8$ , $7 b - 3$
238607	Evaluate	x/5+4x+3(x-5)	$\frac{x}{5} + 4 x + 3 (x - 5)$
238608	Graph	-1/3x+5<3	$- \frac{1}{3} x + 5 < 3$
238609	Evaluate	n^(1/2)+6n^(1/4)-16=0	$n^{\frac{1}{2}} + 6 n^{\frac{1}{4}} - 16 = 0$
238610	Solve the Rational Equation for y	square root of 4y=10	$\sqrt{4 y} = 10$
238611	Evaluate	\|i\|	$\| i \|$
238612	Solve the System of Equations	x-2y=6 y=2x	$x - 2 y = 6$ $y = 2 x$
238613	Simplify	3/4*12/27	$\frac{3}{4} \cdot \frac{12}{27}$
238614	Simplify	fourth root of square root of z^5	$\sqrt[4]{\sqrt{z^{5}}}$
238615	Simplify	(2t^3)/( square root of 4t^5)	$\frac{2 t^{3}}{\sqrt{4 t^{5}}}$
238616	Solve for t	-3t+9>=-21	$- 3 t + 9 \geq - 21$
238617	Simplify the Radical Expression	eighth root of 49a^8b^2	$\sqrt[8]{49 a^{8} b^{2}}$
238618	Find the Quotient	(-19x^2+3+7x+15x^4)÷(-5x^2+3)	$(- 19 x^{2} + 3 + 7 x + 15 x^{4}) \div (- 5 x^{2} + 3)$
238619	Simplify	(3^2*3^-4)^4	${(3^{2} \times 3^{- 4})}^{4}$
238620	Solve for m	c=3m+2	$c = 3 m + 2$
238621	Find the Holes in the Graph	H(x)=(4x^2-80x+364)/(x^2-18x+77)	$H (x) = \frac{4 x^{2} - 80 x + 364}{x^{2} - 18 x + 77}$
238622	Find the Roots (Zeros)	4x^3-3x^2+1	$4 x^{3} - 3 x^{2} + 1$
238623	Simplify	((x+1)/(x^2))/(1/x+(x+1)/x)	$\frac{\frac{x + 1}{x^{2}}}{\frac{1}{x} + \frac{x + 1}{x}}$
238624	Divide	((x+2)/(x-4))÷(1/(3x-12))	$\frac{x + 2}{x - 4} \div \frac{1}{3 x - 12}$
238625	Convert to Radical Form	square root of x^(3/4)x^-1	$\sqrt{x^{\frac{3}{4}} x^{- 1}}$
238626	Solve for x	square root of x+2=2x+1	$\sqrt{x + 2} = 2 x + 1$
238627	Solve for x	2(3-5(6+x))=15x	$2 (3 - 5 (6 + x)) = 15 x$
238628	Find the Domain and Range	y=cos(x-pi/2)	$y = \cos (x - \frac{π}{2})$
238629	Find the Roots (Zeros)	3x^4-9x^3+x^2-3x	$3 x^{4} - 9 x^{3} + x^{2} - 3 x$
238630	Solve for x	1/(x-a)+1/(x+a)=2/(x-1)	$\frac{1}{x - a} + \frac{1}{x + a} = \frac{2}{x - 1}$
238631	Graph	\|2x+2\|-7<=-5	$\| 2 x + 2 \| - 7 \leq - 5$
238632	Evaluate	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$
238633	Solve the Absolute Value Inequality for w	\|3-6w\|=39	$\| 3 - 6 w \| = 39$
238634	Multiply	(4t+4)/(t-5)*(t^2-t-20)	$\frac{4 t + 4}{t - 5} \cdot (t^{2} - t - 20)$
238635	Find the Degree	f(x)=2-11x+2x^2	$f (x) = 2 - 11 x + 2 x^{2}$
238636	Subtract	7/12-(4x)/(3x)	$\frac{7}{12} - \frac{4 x}{3 x}$
238637	Simplify	-9/(2 square root of 45)	$- \frac{9}{2 \sqrt{45}}$
238638	Evaluate	csc(0 degrees )	$\csc (0 °)$
238639	Convert to a Percentage	22 is what percent of 40	$22$ is what percent of $40$
238640	Solve the Inequality for x	y<4x-5	$y < 4 x - 5$
238641	Simplify	1/2a^3b^2-2a^2b^3-a^3b^2-2/3a^2b^3	$\frac{1}{2} a^{3} b^{2} - 2 a^{2} b^{3} - a^{3} b^{2} - \frac{2}{3} a^{2} b^{3}$
238642	Solve the Inequality for x	(x-1)(3x-4)>=0	$(x - 1) (3 x - 4) \geq 0$
238643	Simplify	(y^2+8y)/(y^2-9)+(2y+21)/(y^2-9)	$\frac{y^{2} + 8 y}{y^{2} - 9} + \frac{2 y + 21}{y^{2} - 9}$
238644	Rationalize the Denominator	(x^3)/( square root of x)	$\frac{x^{3}}{\sqrt{x}}$
238645	Evaluate	8% of 150	$8 %$ of $150$
238646	Solve the Inequality for k	-18+k/3<=-26	$- 18 + \frac{k}{3} \leq - 26$
238647	Solve the System of Inequalities	x<-10 and x<10	$x < - 10$ and $x < 10$
238648	Solve for y	x^2+y^2-4=0	$x^{2} + y^{2} - 4 = 0$
238649	Write in y=mx+b Form	x=4y	$x = 4 y$
238650	Solve the Inequality for x	5 square root of x+2>17	$5 \sqrt{x} + 2 > 17$
238651	Multiply	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a} \cdot 8 \sqrt{35 a^{2}}$
238652	Simplify	(9x^5y^-3z^-2)/(3x^3y^3z^5)	$\frac{9 x^{5} y^{- 3} z^{- 2}}{3 x^{3} y^{3} z^{5}}$
238653	Divide Using Long Polynomial Division	8x^3+6x^2+15x+7 divided by 2x+1	$8 x^{3} + 6 x^{2} + 15 x + 7$ divided by $2 x + 1$
238654	Solve the Absolute Value Inequality for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
238655	Solve for b	2=-2/5(-3)+b	$2 = - \frac{2}{5} (- 3) + b$
238656	Evaluate	20% of 5	$20 %$ of $5$
238657	Evaluate	(x^2)/(x^(1/2))	$\frac{x^{2}}{x^{\frac{1}{2}}}$
238658	Find the Domain and Range	f(x)=0.5\|2x-4\|+3	$f (x) = 0.5 \| 2 x - 4 \| + 3$
238659	Graph	y=-x^3+3x^2-2	$y = - x^{3} + 3 x^{2} - 2$
238660	Divide	(6p^3+150p^2+5p)÷15p	$(6 p^{3} + 150 p^{2} + 5 p) \div 15 p$
238662	Convert to Radical Form	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
238663	Solve for y	y=1/4(0)^2	$y = \frac{1}{4} {(0)}^{2}$
238664	Simplify	3^(x+2)9^(x-1)3^2	$3^{x + 2} \cdot 9^{x - 1} \cdot 3^{2}$
238665	Solve the System of Inequalities	x<4 and x>=1	$x < 4$ and $x \geq 1$
238666	Solve for u	u/12=6/9	$\frac{u}{12} = \frac{6}{9}$
238667	Simplify/Condense	(sin(x)+cos(x))^2	${(\sin (x) + \cos (x))}^{2}$
238668	Graph	-2(7+y)>=-8(y+1)	$- 2 (7 + y) \geq - 8 (y + 1)$
238669	Evaluate	(4n^4-8n+4)-(8n^2+4n^4+1)	$(4 n^{4} - 8 n + 4) - (8 n^{2} + 4 n^{4} + 1)$
238670	Simplify	(2cos(theta)-1)(2cos(theta)+1)	$(2 \cos (θ) - 1) (2 \cos (θ) + 1)$
238671	Evaluate	8e^(4x+8)=15	$8 e^{4 x + 8} = 15$
238672	Find the Equation Using Two Points	(3,6) and (5,5)	$(3, 6)$ and $(5, 5)$
238673	Solve the Inequality for y	2x-5y>8	$2 x - 5 y > 8$
238674	Solve the System of Equations	8-0.9x=0.4y -y+0.3x=1.6	$8 - 0.9 x = 0.4 y$ $- y + 0.3 x = 1.6$
238675	Solve for x	(x-1)/(x+1)+4/(x-1)=5/2	$\frac{x - 1}{x + 1} + \frac{4}{x - 1} = \frac{5}{2}$
238676	Solve the Inequality for x	1/2x+3<2/3x+5/3	$\frac{1}{2} x + 3 < \frac{2}{3} x + \frac{5}{3}$
238677	Simplify the Radical Expression	sixth root of y^4	$\sqrt[6]{y^{4}}$
238678	Evaluate	31914+18÷2	$3 \cdot 19 \cdot 14 + 18 \div 2$
238679	Evaluate	fourth root of 256(x^2-1)^12	$\sqrt[4]{256 {(x^{2} - 1)}^{12}}$
238680	Write in Exponential Form	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
238681	Find the LCM	lcm of 6 and 10	lcm of $6$ and $10$
238682	Solve for x	x^2-3(x+1)<=x-3x-3	$x^{2} - 3 (x + 1) \leq x - 3 x - 3$
238683	Solve for x	square root of cube root of x=2	$\sqrt{\sqrt[3]{x}} = 2$
238684	Simplify	(-5x^6)(2x^-4y)(-6x^-3y^4)	$(- 5 x^{6}) (2 x^{- 4} y) (- 6 x^{- 3} y^{4})$
238685	Find the x and y Intercepts	(x^2+y^2-6x)^2=36x^2+36y^2	${(x^{2} + y^{2} - 6 x)}^{2} = 36 x^{2} + 36 y^{2}$
238686	Solve for x	x^2+6=6	$x^{2} + 6 = 6$
238687	Evaluate	y=(1/5)^-3	$y = {(\frac{1}{5})}^{- 3}$
238688	Evaluate	(180(7-2))/7	$\frac{180 (7 - 2)}{7}$
238689	Solve for x	x=2y-4 7x+5y=-66	$x = 2 y - 4$ $7 x + 5 y = - 66$
238690	Simplify	x^-1y^4*2x^-2y^4	$x^{- 1} y^{4} \cdot 2 x^{- 2} y^{4}$
238691	Write in Exponential Form	cube root of 4+ sixth root of 4	$\sqrt[3]{4} + \sqrt[6]{4}$
238692	Factor	(9(t-4)^8(5t+8)^9-9(5t+8)^8*5(t-4)^9)/(((5t+8)^9)^2)	$\frac{9 {(t - 4)}^{8} {(5 t + 8)}^{9} - 9 {(5 t + 8)}^{8} \cdot 5 {(t - 4)}^{9}}{{({(5 t + 8)}^{9})}^{2}}$
238693	Find the Vertex Form	x^2+8x=y-1	$x^{2} + 8 x = y - 1$
238694	Solve for x	x^2+62=-16x	$x^{2} + 62 = - 16 x$
238695	Solve the Inequality for x	-4<2x+1<7	$- 4 < 2 x + 1 < 7$
238696	Simplify the Radical Expression	sixth root of y^5 cube root of y^5	$\sqrt[6]{y^{5}} \sqrt[3]{y^{5}}$
238697	Subtract	-3/5-(-4/15)	$- \frac{3}{5} - (- \frac{4}{15})$
238698	Graph Using a Table of Values	f(x)=-3^(x-5)+1	$f (x) = - 3^{x - 5} + 1$
238699	Solve the Absolute Value Inequality for x	3-\|x-10\|=-2	$3 - \| x - 10 \| = - 2$
238700	Graph	(sin(2x))/x	$\frac{\sin (2 x)}{x}$