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Algebra

Rank	Topic	Problem	Formatted Problem
238201	Simplify	((2ab^2c^3)/(3a^2c))^-3	${(\frac{2 a b^{2} c^{3}}{3 a^{2} c})}^{- 3}$
238202	Subtract	8/7-4/(7x)	$\frac{8}{7} - \frac{4}{7 x}$
238203	Solve for x	square root of 4x+28-3 square root of 2x=0	$\sqrt{4 x + 28} - 3 \sqrt{2 x} = 0$
238204	Solve the Inequality for x	sin(x)<=1/2	$\sin (x) \leq \frac{1}{2}$
238205	Graph	2y<=-3x-6	$2 y \leq - 3 x - 6$
238206	Evaluate	-192(-1/4)^(6-1)	$- 192 {(- \frac{1}{4})}^{6 - 1}$
238207	Subtract	5/(x-4)-(x-4)/(3x+5)	$\frac{5}{x - 4} - \frac{x - 4}{3 x + 5}$
238208	Write in Slope-Intercept Form	(-3,7) and (1,-1)	$(- 3, 7)$ and $(1, - 1)$
238209	Solve for y	3+10/y=1/2	$3 + \frac{10}{y} = \frac{1}{2}$
238210	Find the x and y Intercepts	f(x)=x^2(x-2)(x^2+3)	$f (x) = x^{2} (x - 2) (x^{2} + 3)$
238211	Simplify	(5-x square root of 3)^2	${(5 - x \sqrt{3})}^{2}$
238212	Solve for x	square root of 7-6x+3x=2	$\sqrt{7 - 6 x} + 3 x = 2$
238213	Solve for v	2+3v=v+2	$2 + 3 v = v + 2$
238214	Simplify	(3-6)^2-4^2	${(3 - 6)}^{2} - 4^{2}$
238215	Solve for y	x-y=12 27+3y=2x	$x - y = 12$ $27 + 3 y = 2 x$
238216	Factor	(2-n)(n^2+6n)(3n-11)	$(2 - n) (n^{2} + 6 n) (3 n - 11)$
238217	Evaluate	53w+13<56w+16	$53 w + 13 < 56 w + 16$
238218	Evaluate	2(180/pi)	$2 (\frac{180}{π})$
238219	Find the Focal Parameter	x^2=12y	$x^{2} = 12 y$
238220	Solve for x	(x+10)/2-13/(x+1)=11/3	$\frac{x + 10}{2} - \frac{13}{x + 1} = \frac{11}{3}$
238221	Simplify	3m^2-3n^2+n+3m^2-7+4	$3 m^{2} - 3 n^{2} + n + 3 m^{2} - 7 + 4$
238222	Determine if (5,2) is a Solution	x-y<=0 , (5,2)	$x - y \leq 0$ , $(5, 2)$
238223	Solve the System of Equations	(x-5)^2+y^2=90 x+3y=5	${(x - 5)}^{2} + y^{2} = 90$ $x + 3 y = 5$
238224	Simplify	square root of 6a^5b^2* square root of 3ab^3	$\sqrt{6 a^{5} b^{2}} \cdot \sqrt{3 a b^{3}}$
238225	Evaluate	(x-7)(3x+2)	$(x - 7) (3 x + 2)$
238226	Write in Standard Form	(x^5)/5+1-x^4+9x^2	$\frac{x^{5}}{5} + 1 - x^{4} + 9 x^{2}$
238227	Simplify	-(2a^5)/(3(a^-5)^4)	$- \frac{2 a^{5}}{3 {(a^{- 5})}^{4}}$
238228	Find the Exact Value	( log base 3 of 2)( log base 3 of 4)	$(\log_{3} (2)) (\log_{3} (4))$
238229	Solve for a	4a^2+4=72	$4 a^{2} + 4 = 72$
238230	Solve for x	1-x>0	$1 - x > 0$
238231	Solve the Inequality for x	2/(x+1)<=3/(x-1)	$\frac{2}{x + 1} \leq \frac{3}{x - 1}$
238232	Simplify	-2/-6	$- \frac{2}{- 6}$
238233	Solve for x	7x+4(5-x)=24x-3(x-4)	$7 x + 4 (5 - x) = 24 x - 3 (x - 4)$
238234	Solve for z	12z^2=7z^2+20	$12 z^{2} = 7 z^{2} + 20$
238235	Simplify	(7p*1/2x^2)÷(p/4)-7x	$7 p \cdot \frac{1}{2} x^{2} \div \frac{p}{4} - 7 x$
238236	Simplify	(3/(5r))÷(9/(rs))	$\frac{3}{5 r} \div \frac{9}{r s}$
238237	Solve for x	64^(3x+3)*32=2^6	$64^{3 x + 3} \cdot 32 = 2^{6}$
238238	Factor by Grouping	405x^4-5x^2	$405 x^{4} - 5 x^{2}$
238239	Solve for q	4q^2+q-2=0	$4 q^{2} + q - 2 = 0$
238240	Find the Holes in the Graph	f(x)=(x^2-4)/(x^2-9)	$f (x) = \frac{x^{2} - 4}{x^{2} - 9}$
238241	Solve for x	x>=2/(x+1)	$x \geq \frac{2}{x + 1}$
238242	Find the Roots (Zeros)	x^3-4x^2+8=0	$x^{3} - 4 x^{2} + 8 = 0$
238243	Find the Degree	x^3-x=0	$x^{3} - x = 0$
238244	Evaluate	(6-7i)^-1	${(6 - 7 i)}^{- 1}$
238245	Evaluate	cot(x)(1/(sec(x))+1/(csc(x)))	$\cot (x) (\frac{1}{\sec (x)} + \frac{1}{\csc (x)})$
238246	Simplify	1/(-24/25)	$\frac{1}{- \frac{24}{25}}$
238247	Simplify	(3x^(7/2)y^-4)/( fourth root of 16x^2y^4)	$\frac{3 x^{\frac{7}{2}} y^{- 4}}{\sqrt[4]{16 x^{2} y^{4}}}$
238248	Simplify	(4xy-13x^2y+7)-(7x^2y^2+12xy^2-3x^2y+11)	$(4 x y - 13 x^{2} y + 7) - (7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11)$
238249	Evaluate	3n-5=-8(6+5n)	$3 n - 5 = - 8 (6 + 5 n)$
238250	Write with Rational (Fractional) Exponents	square root of 7* fifth root of 7^6	$\sqrt{7} \cdot \sqrt[5]{7^{6}}$
238251	Factor by Grouping	(x+4)^2-4y^5(x+4)+4y^10	${(x + 4)}^{2} - 4 y^{5} (x + 4) + 4 y^{10}$
238252	Find All Complex Solutions	square root of 3x+1=2+ square root of x+1	$\sqrt{3 x + 1} = 2 + \sqrt{x + 1}$
238253	Simplify	square root of 2p*-4 square root of 3p^3	$\sqrt{2 p} \cdot - 4 \sqrt{3 p^{3}}$
238254	Simplify	(4 square root of 3)/(3 square root of 3)	$\frac{4 \sqrt{3}}{3 \sqrt{3}}$
238255	Simplify	pi*8^2	$π \cdot 8^{2}$
238256	Evaluate	(4^-5)/(4^7)*4^-7	$\frac{4^{- 5}}{4^{7}} \cdot 4^{- 7}$
238257	Write in Standard Form	x^2=2x+x(2x-4)+y	$x^{2} = 2 x + x (2 x - 4) + y$
238258	Simplify	((x^2-6x+9)/(5x))÷((x-3)/(x+3))	$\frac{x^{2} - 6 x + 9}{5 x} \div \frac{x - 3}{x + 3}$
238259	Solve for x	x^2=2x+x(2x-4)+y	$x^{2} = 2 x + x (2 x - 4) + y$
238260	Evaluate	3.6sin(70)	$3.6 \sin (70)$
238261	Simplify	3(x+y)^-1+x^-2	$3 {(x + y)}^{- 1} + x^{- 2}$
238262	Solve by Substitution	x-y=5 x=y+1	$x - y = 5$ $x = y + 1$
238263	Solve for y	1-y^2=y^2-1	$1 - y^{2} = y^{2} - 1$
238264	Find the Points of Intersection	y=2x+9 y=6-x	$y = 2 x + 9$ $y = 6 - x$
238265	Factor	5ac-2bd+bc-10ad	$5 a c - 2 b d + b c - 10 a d$
238266	Solve for b	(3b-2)/(b+1)=4-(b+2)/(b-1)	$\frac{3 b - 2}{b + 1} = 4 - \frac{b + 2}{b - 1}$
238267	Solve in Terms of the Arbitrary Variable x	2x+3y=3 ax+by=6	$2 x + 3 y = 3$ $a x + b y = 6$
238268	Factor	P(x)=x^3+3x^2-6x-8	$P (x) = x^{3} + 3 x^{2} - 6 x - 8$
238269	Rationalize the Denominator	(2x)/( cube root of x)	$\frac{2 x}{\sqrt[3]{x}}$
238270	Simplify the Radical Expression	square root of 2+ square root of 12	$\sqrt{2 + \sqrt{12}}$
238271	Solve the System of Inequalities	7x-9y<5 -2x+4y>5	$7 x - 9 y < 5$ $- 2 x + 4 y > 5$
238272	Simplify	(2x-10y+10z)-(6x+10z)	$(2 x - 10 y + 10 z) - (6 x + 10 z)$
238273	Divide Using Long Polynomial Division	(x^4-2x^3-8x^2+22x+6)/(x^2-6)	$\frac{x^{4} - 2 x^{3} - 8 x^{2} + 22 x + 6}{x^{2} - 6}$
238274	Solve the Inequality for Z	84>=-7(Z-9)	$84 \geq - 7 (Z - 9)$
238275	Simplify	((p^-2)^0)/(5p^-4)	$\frac{{(p^{- 2})}^{0}}{5 p^{- 4}}$
238276	Find the x and y Intercepts	y=(x-1)(x^2-5x+6)	$y = (x - 1) (x^{2} - 5 x + 6)$
238277	Evaluate	5(3-2x)>=10	$5 (3 - 2 x) \geq 10$
238278	Write in Exponential Form	log base 4y of 128=x	$\log_{4 y} (128) = x$
238279	Solve for x	7/(x+1)=(2x+4)/(3x-3)	$\frac{7}{x + 1} = \frac{2 x + 4}{3 x - 3}$
238280	Graph	y=1/2 square root of 4-x+4	$y = \frac{1}{2} \sqrt{4 - x} + 4$
238281	Solve the Inequality for y	2<-y/5	$2 < - \frac{y}{5}$
238282	Simplify	(5y^3)/( square root of 12y^6)	$\frac{5 y^{3}}{\sqrt{12 y^{6}}}$
238283	Multiply	1/2157	$\frac{1}{2} \cdot 15 \cdot 7$
238284	Simplify	(-2x^3)/(-3x^4)	$\frac{- 2 x^{3}}{- 3 x^{4}}$
238285	Solve the Inequality for y	-2y<=4x+2	$- 2 y \leq 4 x + 2$
238286	Solve the Inequality for x	e^x>0	$e^{x} > 0$
238287	Solve for a	2(4a-12)+3a=6a+1	$2 (4 a - 12) + 3 a = 6 a + 1$
238288	Solve by Substitution	x=5-y x-y=3	$x = 5 - y$ $x - y = 3$
238289	Simplify	1x-2x	$1 x - 2 x$
238290	Divide	((x^2-6x+8)/(3x-12))÷((x^2-4)/(x^2+5x+6))	$\frac{x^{2} - 6 x + 8}{3 x - 12} \div \frac{x^{2} - 4}{x^{2} + 5 x + 6}$
238291	Solve for x	27<=7x+6	$27 \leq 7 x + 6$
238292	Solve for x	x/(x+1)-(x-1)/x=1/20	$\frac{x}{x + 1} - \frac{x - 1}{x} = \frac{1}{20}$
238293	Solve the Inequality for x	2x<3x+2<=x+6	$2 x < 3 x + 2 \leq x + 6$
238294	Solve for w	-62=8w-12w-18	$- 62 = 8 w - 12 w - 18$
238295	Multiply	(5a+3b)(4a^-1-2b^-1)	$(5 a + 3 b) (4 a^{- 1} - 2 b^{- 1})$
238296	Solve for n	cube root of 4n-8-4=0	$\sqrt[3]{4 n - 8} - 4 = 0$
238297	Simplify	square root of cube root of y^4	$\sqrt{\sqrt[3]{y^{4}}}$
238298	Simplify	3/4+ square root of 64	$\frac{3}{4} + \sqrt{64}$
238299	Evaluate	(14x^4y^6)/(7x^8y^2)	$\frac{14 x^{4} y^{6}}{7 x^{8} y^{2}}$
238300	Graph	p(x)=5x(x+1)(x-7)(x-10)	$p (x) = 5 x (x + 1) (x - 7) (x - 10)$