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Algebra

Rank	Topic	Problem	Formatted Problem
238501	Evaluate	square root of x^2=3	$\sqrt{x^{2}} = 3$
238502	Solve by Substitution	2x^2+4x-y=-3 -2x+y=-4	$2 x^{2} + 4 x - y = - 3$ $- 2 x + y = - 4$
238503	Evaluate Using the Given Value	(p+q)^2-(5-5) ; use p=1 ; and q=1	${(p + q)}^{2} - (5 - 5)$ ; use $p = 1$ ; and $q = 1$
238504	Solve for j	cube root of j=6	$\sqrt[3]{j} = 6$
238505	Evaluate	(-1/2)/(-1/2+1)-1	$\frac{- \frac{1}{2}}{- \frac{1}{2} + 1} - 1$
238506	Evaluate	5% of 400	$5 %$ of $400$
238507	Simplify	(3x-2)(3x+1)(3x+2)(x-1)	$(3 x - 2) (3 x + 1) (3 x + 2) (x - 1)$
238508	Solve for y	2x+3y=12 for y	$2 x + 3 y = 12$ for $y$
238509	Find the Exact Value	sin(pi/6)cos(pi/2)+cos(pi/6)sin(pi/2)	$\sin (\frac{π}{6}) \cos (\frac{π}{2}) + \cos (\frac{π}{6}) \sin (\frac{π}{2})$
238510	Graph	x-2y=4 x-2y=6	$x - 2 y = 4$ $x - 2 y = 6$
238511	Evaluate Using Scientific Notation	0.5(8x*10^5)	$0.5 (8 x \cdot 10^{5})$
238512	Solve the Rational Equation for x	square root of 2x+7=x+3	$\sqrt{2 x} + 7 = x + 3$
238513	Evaluate	(24÷8+(12-3)÷6)^2	${(24 \div 8 + (12 - 3) \div 6)}^{2}$
238514	Solve for y	(-( square root of 8)/3)^2+y^2=1^2	${(- \frac{\sqrt{8}}{3})}^{2} + y^{2} = 1^{2}$
238515	Solve the System of Equations	2(x-1/3)-3/2(y-1/6)=0 3(y-1/2)+8/3(x-1/6)=0	$2 (x - \frac{1}{3}) - \frac{3}{2} (y - \frac{1}{6}) = 0$ $3 (y - \frac{1}{2}) + \frac{8}{3} (x - \frac{1}{6}) = 0$
238516	Find the Domain and Range	y=1+arccos(x)	$y = 1 + \arccos (x)$
238517	Simplify	( square root of 3+ square root of 5)( square root of 3-3 square root of 5)	$(\sqrt{3} + \sqrt{5}) (\sqrt{3} - 3 \sqrt{5})$
238518	Write as a Single Logarithm	log of 9^5	$\log (9^{5})$
238519	Solve for w	19w^2-30w+8=-6w^2	$19 w^{2} - 30 w + 8 = - 6 w^{2}$
238520	Simplify	4/(9k^5)*(3k^3)/8	$\frac{4}{9 k^{5}} \cdot \frac{3 k^{3}}{8}$
238521	Rationalize the Denominator	-4/(-1- square root of 17)	$\frac{- 4}{- 1 - \sqrt{17}}$
238522	Evaluate	1 3/4-2+(-4 3/4)	$1 \frac{3}{4} - 2 + (- 4 \frac{3}{4})$
238523	Write in Standard Form	3x+9=7/2y	$3 x + 9 = \frac{7}{2} y$
238524	Graph	g(x)=1/4(-x)^(1/2)	$g (x) = \frac{1}{4} {(- x)}^{\frac{1}{2}}$
238525	Find the Domain and Range	y=x(5-x)	$y = x (5 - x)$
238526	Simplify	Simplify (-4r^5)(2r^8)	Simplify $(- 4 r^{5}) (2 r^{8})$
238527	Subtract	1/3-5/3	$\frac{1}{3} - \frac{5}{3}$
238528	Solve for b	6^2+b^2=(3 square root of 5)^2	$6^{2} + b^{2} = {(3 \sqrt{5})}^{2}$
238529	Evaluate	3^(2+4^2)	$3^{2 + 4^{2}}$
238530	Simplify	(9x+18)/(x^2-2x-8)*(3x-12)/(6x)	$\frac{9 x + 18}{x^{2} - 2 x - 8} \cdot \frac{3 x - 12}{6 x}$
238531	Evaluate	4 2/5÷(7/10+2 3/5)	$4 \frac{2}{5} \div (\frac{7}{10} + 2 \frac{3}{5})$
238532	Combine Like Terms	3x+4x+5y+6y+7+8	$3 x + 4 x + 5 y + 6 y + 7 + 8$
238533	Solve for r	a=(pir^2)/h	$a = \frac{π r^{2}}{h}$
238534	Find the Distance Between Two Points	(-5,8) and (-3,1)	$(- 5, 8)$ and $(- 3, 1)$
238535	Solve for x	1- square root of 4x+3=-5	$1 - \sqrt{4 x + 3} = - 5$
238536	Multiply	(x^2-36)/(x^2-5x-6)*(3x+3)/(9x^2)	$\frac{x^{2} - 36}{x^{2} - 5 x - 6} \cdot \frac{3 x + 3}{9 x^{2}}$
238537	Find the GCF	21cd-3d	$21 c d - 3 d$
238538	Simplify	1+cot(-theta)^2	$1 + \cot^{2} (- θ)$
238539	Simplify the Radical Expression	square root of 32h+4 square root of 98h-3 square root of 50h	$\sqrt{32 h} + 4 \sqrt{98 h} - 3 \sqrt{50 h}$
238540	Evaluate	natural log of e/( square root of e^5)	$\ln (\frac{e}{\sqrt{e^{5}}})$
238541	Solve for x	-19x^3-12x^2+16x=0	$- 19 x^{3} - 12 x^{2} + 16 x = 0$
238542	Simplify	(a^3)/( square root of 15a^5)	$\frac{a^{3}}{\sqrt{15 a^{5}}}$
238543	Find the Degree	f(x)=-x^3-11x^2-28x	$f (x) = - x^{3} - 11 x^{2} - 28 x$
238544	Simplify the Radical Expression	i^4	$i^{4}$
238545	Simplify	4x^4y^4*x^4	$4 x^{4} y^{4} \cdot x^{4}$
238546	Solve for x	(7x)/6-3=(5x)/4	$\frac{7 x}{6} - 3 = \frac{5 x}{4}$
238547	Simplify the Radical Expression	(18w^(1/3)v^(5/4))/(27w^(4/3)v^(1/2))	$\frac{18 w^{\frac{1}{3}} v^{\frac{5}{4}}}{27 w^{\frac{4}{3}} v^{\frac{1}{2}}}$
238548	Graph	y>=x^2-4 y<=-2x^2+7x+4	$y \geq x^{2} - 4$ $y \leq - 2 x^{2} + 7 x + 4$
238549	Factor	9x^8-72x^4+144	$9 x^{8} - 72 x^{4} + 144$
238550	Convert to a Decimal	sin(72)deg	$\sin (72)$ degrees
238551	Find the x and y Intercepts	y = log base 2 of 2x+3	$y = \log_{2} (2 x + 3)$
238552	Convert to a Decimal	350deg	$350$ degrees
238553	Solve for y	7y-4+3y+6=9y+8	$7 y - 4 + 3 y + 6 = 9 y + 8$
238554	Solve for x	\|x-2\|+5<4	$\| x - 2 \| + 5 < 4$
238555	Divide	((5x^2-3x-14)/(3x^2+5x-2))÷((4x-8)/(3x-1))	$\frac{5 x^{2} - 3 x - 14}{3 x^{2} + 5 x - 2} \div \frac{4 x - 8}{3 x - 1}$
238556	Write in Slope-Intercept Form	4x+y>3	$4 x + y > 3$
238557	Evaluate	1/e-e	$\frac{1}{e} - e$
238558	Convert to a Percentage	27 is what percent of 60	$27$ is what percent of $60$
238559	Solve the System of Equations	x-4y=-8 -x+4y-8=0	$x - 4 y = - 8$ $- x + 4 y - 8 = 0$
238560	Solve the System of Equations	(x-5)^2+(y-3)^2=90 x+y=2	${(x - 5)}^{2} + {(y - 3)}^{2} = 90$ $x + y = 2$
238561	Find the Parabola with Focus (-3,-5) and Directrix x=-7	(-3,-5) x=-7	$(- 3, - 5)$ $x = - 7$
238562	Find the Parabola with Focus (0,5) and Directrix y=-5	(0,5) , y=-5	$(0, 5)$ , $y = - 5$
238563	Evaluate	log of (1/9)/k	$\log (\frac{\frac{1}{9}}{k})$
238564	Find the Equation Using Point-Slope Formula	(-2,3) and slope m=9	$(- 2, 3)$ and slope $m = 9$
238565	Simplify	(24m^3n)*(1/4n)	$(24 m^{3} n) \cdot (\frac{1}{4} n)$
238566	Solve for x	f(x)=1/2x-3	$f (x) = \frac{1}{2} x - 3$
238567	Simplify	square root of x^7y^7*4 square root of 2x^11y^2	$\sqrt{x^{7} y^{7}} \cdot 4 \sqrt{2 x^{11} y^{2}}$
238568	Simplify	((3x^-2y)^3)/(9x^5)	$\frac{{(3 x^{- 2} y)}^{3}}{9 x^{5}}$
238569	Factor	(x^2-9)/(x^2+5x+6)	$\frac{x^{2} - 9}{x^{2} + 5 x + 6}$
238570	Find the Degree, Leading Term, and Leading Coefficient	f(x)=5x-x^3+3x^5-2	$f (x) = 5 x - x^{3} + 3 x^{5} - 2$
238571	Solve for x	22=5x-4(x+7)	$22 = 5 x - 4 (x + 7)$
238572	Simplify	(x+4)/5+(x+5)/5	$\frac{x + 4}{5} + \frac{x + 5}{5}$
238573	Solve the Rational Equation for x	1/(x-1)-1=x/(x-1)	$\frac{1}{x - 1} - 1 = \frac{x}{x - 1}$
238574	Find All Complex Solutions	cos(theta)^2=1/2	$\cos^{2} (θ) = \frac{1}{2}$
238575	Find the Roots (Zeros)	16x^2=-72x-83	$16 x^{2} = - 72 x - 83$
238576	Divide Using Long Polynomial Division	2x^3+7x^2+9x+10 divided by 2x+5	$2 x^{3} + 7 x^{2} + 9 x + 10$ divided by $2 x + 5$
238577	Evaluate	(10(-1)^2+12(-1)+5)/((5(-1)+3)^2)	$\frac{10 {(- 1)}^{2} + 12 (- 1) + 5}{{(5 (- 1) + 3)}^{2}}$
238578	Find the Remainder	(2x^6+x^2+2)/(x+2)	$\frac{2 x^{6} + x^{2} + 2}{x + 2}$
238579	Simplify the Radical Expression	(x^4y^2)/( fourth root of x^3y^2)	$\frac{x^{4} y^{2}}{\sqrt[4]{x^{3} y^{2}}}$
238580	Solve the Inequality for x	x+4<5/x	$x + 4 < \frac{5}{x}$
238581	Simplify the Radical Expression	square root of -7* square root of -7	$\sqrt{- 7} \cdot \sqrt{- 7}$
238582	Evaluate	40% of 85	$40 %$ of $85$
238583	Simplify	sin(x)*(tan(x)+cot(x))	$\sin (x) \cdot (\tan (x) + \cot (x))$
238584	Solve the System of Equations	y=3x^2-7x+1 y=-4x+19	$y = 3 x^{2} - 7 x + 1$ $y = - 4 x + 19$
238585	Simplify	(5x^2+14x-3)/(3x-15x^2)	$\frac{5 x^{2} + 14 x - 3}{3 x - 15 x^{2}}$
238586	Simplify	4*( square root of 2)/2	$4 \cdot \frac{\sqrt{2}}{2}$
238587	Reduce	square root of 108	$\sqrt{108}$
238588	Solve for b	2b-25+5b=7-32	$2 b - 25 + 5 b = 7 - 32$
238589	Simplify	(3x^2y-2xy)(3x^2y+2xy)	$(3 x^{2} y - 2 x y) (3 x^{2} y + 2 x y)$
238590	Solve for u	9=-3/u	$9 = - \frac{3}{u}$
238591	Subtract	-3x^2-4x+3 and 2x^2-x+3	$- 3 x^{2} - 4 x + 3$ and $2 x^{2} - x + 3$
238592	Simplify	((x-1)/(2x-7))/(-1/10)	$\frac{\frac{x - 1}{2 x - 7}}{- \frac{1}{10}}$
238593	Solve the Inequality for x	-2<x<2	$- 2 < x < 2$
238594	Simplify	9 square root of 7+ square root of 6-3 square root of 7+5 square root of 6	$9 \sqrt{7} + \sqrt{6} - 3 \sqrt{7} + 5 \sqrt{6}$
238595	Evaluate	tan((-5pi)/4)	$\tan (\frac{- 5 π}{4})$
238596	Evaluate the Function	f(x+3)=f(x)	$f (x + 3) = f (x)$
238597	Find the Remainder	(-19x^2+3+7x+15x^4)÷(-5x^2+3)	$(- 19 x^{2} + 3 + 7 x + 15 x^{4}) \div (- 5 x^{2} + 3)$
238598	Solve for x	-\|3+3x\|-2>-11	$- \| 3 + 3 x \| - 2 > - 11$
238599	Simplify	(3m)/(m-6)*(5m^3-30m^2)/(5m^2)	$\frac{3 m}{m - 6} \cdot \frac{5 m^{3} - 30 m^{2}}{5 m^{2}}$
238600	Solve in Terms of the Arbitrary Variable a	y=4x-5 and y=ax+2	$y = 4 x - 5$ and $y = a x + 2$