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Algebra

Rank	Topic	Problem	Formatted Problem
238401	Solve the Rational Equation for x	1+x/(x+7)=-7/(x+7)	$1 + \frac{x}{x + 7} = - \frac{7}{x + 7}$
238402	Write in Standard Form	9x^2+y^2+144x=-567	$9 x^{2} + y^{2} + 144 x = - 567$
238403	Simplify	((2x^-3y^4)/(3x^-4y^2))^-2	${(\frac{2 x^{- 3} y^{4}}{3 x^{- 4} y^{2}})}^{- 2}$
238404	Solve for x	square root of 5+4x+ square root of 2x+3=2	$\sqrt{5 + 4 x} + \sqrt{2 x + 3} = 2$
238405	Graph	f(x)=x!	$f (x) = x!$
238406	Simplify	(3+6x^2-6x)-(8-8x+3x^2)	$(3 + 6 x^{2} - 6 x) - (8 - 8 x + 3 x^{2})$
238407	Find the Holes in the Graph	(3x^2-108)/(x^2+2x-24)	$\frac{3 x^{2} - 108}{x^{2} + 2 x - 24}$
238408	Evaluate	( square root of 1)^2	${(\sqrt{1})}^{2}$
238409	Subtract	3x^2+8x--9x^2+3x-8	$3 x^{2} + 8 x - - 9 x^{2} + 3 x - 8$
238410	Simplify	square root of square root of 25x^2	$\sqrt{\sqrt{25 x^{2}}}$
238411	Evaluate	g(1+h)=x^3	$g (1 + h) = x^{3}$
238412	Multiply	x*(x+2)	$x \cdot (x + 2)$
238413	Solve the Rational Equation for x	((x+4)(x-2))/(9(x-2))=(x+4)/9	$\frac{(x + 4) (x - 2)}{9 (x - 2)} = \frac{x + 4}{9}$
238414	Simplify	20x^6 cube root of -1/1000x^36	$20 x^{6} \sqrt[3]{\frac{- 1}{1000}} x^{36}$
238415	Simplify	-2(3a+2b-1)+3(a+4b-2)	$- 2 (3 a + 2 b - 1) + 3 (a + 4 b - 2)$
238416	Simplify	(4n-8n^4-3)-(5n+2n^2-6)	$(4 n - 8 n^{4} - 3) - (5 n + 2 n^{2} - 6)$
238417	Evaluate	2(2/3)+1	$2 (\frac{2}{3}) + 1$
238418	Evaluate the Function	f(x)=4^x for x=3	$f (x) = 4^{x}$ for $x = 3$
238419	Solve for s	A=6(s+2)^2	$A = 6 {(s + 2)}^{2}$
238420	Solve for c	3^(c+6)=4^(2-c)	$3^{c + 6} = 4^{2 - c}$
238421	Simplify	(2x-3)^2+5	${(2 x - 3)}^{2} + 5$
238422	Find the Exact Value	1/(2/(( square root of 3)/2))	$\frac{1}{\frac{2}{\frac{\sqrt{3}}{2}}}$
238423	Simplify	14/(9x^3)*(2y^2)/(7x)	$\frac{14}{9 x^{3}} \cdot \frac{2 y^{2}}{7 x}$
238424	Solve for x	x-3+1=3x-10	$x - 3 + 1 = 3 x - 10$
238425	Solve the Rational Equation for x	square root of 2x=x-4	$\sqrt{2 x} = x - 4$
238426	Graph	y=cos(theta/4+pi/4)-2	$y = \cos (\frac{θ}{4} + \frac{π}{4}) - 2$
238427	Solve for x	3(3x-1)^(1/3)-6=0	$3 {(3 x - 1)}^{\frac{1}{3}} - 6 = 0$
238428	Solve for x	5x = natural log of 8	$5 x = \ln (8)$
238429	Solve for m	a^3+27=(a+3)(a^2+ma+9)	$a^{3} + 27 = (a + 3) (a^{2} + m a + 9)$
238430	Evaluate	9q^2-2/3(3q-7)+5q^2	$9 q^{2} - \frac{2}{3} (3 q - 7) + 5 q^{2}$
238431	Simplify	((8x^2)/(x+4))÷(x/(2(x-4)))	$\frac{8 x^{2}}{x + 4} \div \frac{x}{2 (x - 4)}$
238432	Combine Like Terms	3x^2-x+2-5x^2+8x-5	$3 x^{2} - x + 2 - 5 x^{2} + 8 x - 5$
238433	Evaluate	(pi*3^2)/2	$\frac{π \cdot 3^{2}}{2}$
238434	Find the Holes in the Graph	(3x^2-28x-20)/(2x+16)	$\frac{3 x^{2} - 28 x - 20}{2 x + 16}$
238435	Simplify	(-13x+5x^4-3x^2)+(-6x^2-4x-3x^4)	$(- 13 x + 5 x^{4} - 3 x^{2}) + (- 6 x^{2} - 4 x - 3 x^{4})$
238436	Find the Quadratic Equation Given the Roots	0 , 5 , -5+ square root of 8	$0$ , $5$ , $- 5 + \sqrt{8}$
238437	Solve for x	(20-x)/x=6/4	$\frac{20 - x}{x} = \frac{6}{4}$
238438	Simplify	((4^2)/(3^-3))^-1	${(\frac{4^{2}}{3^{- 3}})}^{- 1}$
238439	Simplify	(r^-3s^5t^2)/(r^2st^-2)	$\frac{r^{- 3} s^{5} t^{2}}{r^{2} s t^{- 2}}$
238440	Simplify	-5 cube root of -64+ cube root of -1- square root of -25	$- 5 \sqrt[3]{- 64} + \sqrt[3]{- 1} - \sqrt{- 25}$
238441	Solve for x	2x+sin(x)=-2	$2 x + \sin (x) = - 2$
238442	Simplify	square root of (225x^3)/(49x)	$\sqrt{\frac{225 x^{3}}{49 x}}$
238443	Solve for x	0=1/(3x^(2/3))	$0 = \frac{1}{3 x^{\frac{2}{3}}}$
238444	Solve the System of Equations	3x+y-10=0 4x-y-4=0	$3 x + y - 10 = 0$ $4 x - y - 4 = 0$
238445	Graph	y=0.25csc(x+pi)+1	$y = 0.25 \csc (x + π) + 1$
238446	Solve for t	s=(at^2)/2	$s = \frac{a t^{2}}{2}$
238447	Rationalize the Denominator	4/(-1+ square root of 14)	$\frac{4}{- 1 + \sqrt{14}}$
238448	Write in Standard Form	y=-9x^7-x^5+10x^3	$y = - 9 x^{7} - x^{5} + 10 x^{3}$
238449	Solve the Inequality for d	-2d-8>=16	$- 2 d - 8 \geq 16$
238450	Simplify	((3x+6)/(x+5))/((x+2)/(x^2-25))	$\frac{\frac{3 x + 6}{x + 5}}{\frac{x + 2}{x^{2} - 25}}$
238451	Find the Equation that Relates x and y	a=2 and b=1	$a = 2$ and $b = 1$
238452	Convert to Interval Notation	7p+5<=-37 and -10p<10	$7 p + 5 \leq - 37$ and $- 10 p < 10$
238453	Simplify	((x^2-9)/(x^2-5x)*(5x-x^2)/(x^2-x-12))÷((x-4)/(x^2-8x+16))	$\frac{x^{2} - 9}{x^{2} - 5 x} \cdot \frac{5 x - x^{2}}{x^{2} - x - 12} \div \frac{x - 4}{x^{2} - 8 x + 16}$
238454	Solve for x	square root of 2x+6+4=x+3	$\sqrt{2 x + 6 + 4} = x + 3$
238455	Evaluate	sin(theta)=-27/190	$\sin (θ) = - \frac{27}{190}$
238456	Multiply	xy*x	$x y \cdot x$
238457	Simplify the Radical Expression	cube root of 125x^8* fourth root of 16x	$\sqrt[3]{125 x^{8}} \cdot \sqrt[4]{16 x}$
238458	Graph	y=-1/3(x+1)+5	$y = - \frac{1}{3} (x + 1) + 5$
238459	Solve the System of Equations	5x+10y+15z=60 2x+4y+6z=60 x+2y+3z=60	$5 x + 10 y + 15 z = 60$ $2 x + 4 y + 6 z = 60$ $x + 2 y + 3 z = 60$
238460	Find the Domain and Range	y=csc(x+pi/4)	$y = \csc (x + \frac{π}{4})$
238461	Evaluate	8^3+3^(1/2)	$8^{3} + 3^{\frac{1}{2}}$
238462	Graph	j(x)=2f(x+1)+4	$j (x) = 2 f (x + 1) + 4$
238463	Write in Slope-Intercept Form	x-y=5(x-y)	$x - y = 5 (x - y)$
238464	Factor	27^3-64	$27^{3} - 64$
238465	Simplify	cos(225 degrees )	$\cos (225 °)$
238466	Solve for p	S=(r-p)/2	$S = \frac{r - p}{2}$
238467	Simplify the Radical Expression	- square root of 1+ square root of -81- square root of 16- square root of -1	$- \sqrt{1} + \sqrt{- 81} - \sqrt{16} - \sqrt{- 1}$
238468	Solve the Rational Equation for x	2/x=(x+5)/(3x)	$\frac{2}{x} = \frac{x + 5}{3 x}$
238469	Write in Standard Form	-(x^3)/6-10+x	$- \frac{x^{3}}{6} - 10 + x$
238470	Find the Holes in the Graph	(x^2-5x+4)/(3x^2+6x-72)	$\frac{x^{2} - 5 x + 4}{3 x^{2} + 6 x - 72}$
238471	Simplify	((x^-2y^4)^3)/((xy)^-3)	$\frac{{(x^{- 2} y^{4})}^{3}}{{(x y)}^{- 3}}$
238472	Solve the Absolute Value Inequality for p	\|-3p\|=15	$\| - 3 p \| = 15$
238473	Graph	( square root of 3,1)	$(\sqrt{3}, 1)$
238474	Solve for x	-2(4-x)+x>-25	$- 2 (4 - x) + x > - 25$
238475	Find the Excluded Values	1/(x-1)+3=7/(x-1)	$\frac{1}{x - 1} + 3 = \frac{7}{x - 1}$
238476	Simplify	4 1/2/4 1/6	$\frac{4 \frac{1}{2}}{4 \frac{1}{6}}$
238477	Graph	2^(5x)=32 , 768	$2^{5 x} = 32$ , $768$
238478	Solve for x	3.8=-2 1/2-5x	$3.8 = - 2 \frac{1}{2} - 5 x$
238479	Simplify	(12x+48)/(6x-15)*(4x^2-25)/(x^2+9x+20)	$\frac{12 x + 48}{6 x - 15} \cdot \frac{4 x^{2} - 25}{x^{2} + 9 x + 20}$
238480	Find the Inverse	f(x) = cube root of x-1+4	$f (x) = \sqrt[3]{x - 1 + 4}$
238481	Simplify	(4w^-3(2q)^2)/(8w^2q^3)	$\frac{4 w^{- 3} {(2 q)}^{2}}{8 w^{2} q^{3}}$
238482	Simplify	(5/(4x))/((7x^3)/2)	$\frac{\frac{5}{4 x}}{\frac{7 x^{3}}{2}}$
238483	Evaluate	(a^2+1)/(a^2-1)-2/(a+1)=a/(a-1)	$\frac{a^{2} + 1}{a^{2} - 1} - \frac{2}{a + 1} = \frac{a}{a - 1}$
238484	Simplify	((x^-2)^3y^4)/(x^-2y)	$\frac{{(x^{- 2})}^{3} y^{4}}{x^{- 2} y}$
238485	Subtract	(8k+k^2-6)-(-10k+7-2k^2)	$(8 k + k^{2} - 6) - (- 10 k + 7 - 2 k^{2})$
238486	Evaluate	Evaluate (1/(27^(4/3)))	Evaluate $(\frac{1}{27^{\frac{4}{3}}})$
238487	Factor	a^3+a^2b+ab+b^2	$a^{3} + a^{2} b + a b + b^{2}$
238488	Simplify	((a^-3b^3c^-5)^5)/((a^5b^-2c^-1)^-2)	$\frac{{(a^{- 3} b^{3} c^{- 5})}^{5}}{{(a^{5} b^{- 2} c^{- 1})}^{- 2}}$
238489	Evaluate	3-1/2*0	$3 - \frac{1}{2} \cdot 0$
238490	Solve for n	-5\|-n+7\|>=-45	$- 5 \| - n + 7 \| \geq - 45$
238491	Solve for d	s=3/2 fourth root of d	$s = \frac{3}{2} \sqrt[4]{d}$
238492	Find the Exact Value	5-((2+3)-4)	$5 - ((2 + 3) - 4)$
238493	Solve for d	d(f)=2f+115	$d (f) = 2 f + 115$
238494	Simplify	(10 square root of 2x^20+7 square root of 8x^20)/( square root of 18x^20)	$\frac{10 \sqrt{2 x^{20}} + 7 \sqrt{8 x^{20}}}{\sqrt{18 x^{20}}}$
238495	Solve for x	4/(x-4)=2+x/(x-4)	$\frac{4}{x - 4} = 2 + \frac{x}{x - 4}$
238496	Simplify the Radical Expression	6x square root of 112-6 square root of 7x^2	$6 x \sqrt{112} - 6 \sqrt{7 x^{2}}$
238497	Evaluate	(7pi)/6(180/pi)	$\frac{7 π}{6} (\frac{180}{π})$
238498	Find the Exact Value	(2pi)/(3/2)	$\frac{2 π}{\frac{3}{2}}$
238499	Find the Roots (Zeros)	(-5x-1)(2x+8)	$(- 5 x - 1) (2 x + 8)$
238500	Simplify	(x+1)/((x+1)^2)	$\frac{x + 1}{{(x + 1)}^{2}}$