Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172301	Evaluate	(4x^3)^2	${(4 x^{3})}^{2}$
172302	Factor	8a-4b+16c+12d	$8 a - 4 b + 16 c + 12 d$
172303	Solve for x	1/2(2/3x+10)=3/5x+1	$\frac{1}{2} (\frac{2}{3} x + 10) = \frac{3}{5} x + 1$
172304	Simplify	(x^2-3x+2)/(-4y)*(2x-2)/(-xy^2+2y^2)	$\frac{x^{2} - 3 x + 2}{- 4 y} \cdot \frac{2 x - 2}{- x y^{2} + 2 y^{2}}$
172305	Evaluate the Function	f(r^2)=(r^2)/(\|r^2\|)	$f (r^{2}) = \frac{r^{2}}{\| r^{2} \|}$
172306	Graph	f(x)=x-4 if x<=3; -1 if x>3	$f (x) = {\begin{cases} x - 4 & x \leq 3 \\ - 1 & x > 3 \end{cases}$
172307	Simplify	7y+2x-10y+3x^2-10x	$7 y + 2 x - 10 y + 3 x^{2} - 10 x$
172308	Graph Using a Table of Values	f(x)=1/2x^2	$f (x) = \frac{1}{2} x^{2}$
172309	Simplify	6/(x^2)-(2x)/(x^2+3)	$\frac{6}{x^{2}} - \frac{2 x}{x^{2} + 3}$
172310	Solve for x	(6+8x)/2=5x	$\frac{6 + 8 x}{2} = 5 x$
172311	Simplify	(2+y^2)^3	${(2 + y^{2})}^{3}$
172312	Solve the Absolute Value Inequality for n	\|n/3\|=2	$\| \frac{n}{3} \| = 2$
172313	Solve for x	(6x-2)/(9x)=(2x-1)/(3x+1)	$\frac{6 x - 2}{9 x} = \frac{2 x - 1}{3 x + 1}$
172314	Solve for x	log base x-3 of 36>2	$\log_{x - 3} (36) > 2$
172315	Simplify	25xy square root of 81/625x^2y^2	$25 x y \sqrt{\frac{81}{625} x^{2} y^{2}}$
172316	Solve for x	log of 6x+10 = log base 1/2 of x	$\log (6 x + 10) = \log_{\frac{1}{2}} (x)$
172317	Graph	(1,-9)	$(1, - 9)$
172318	Simplify	(-3z+6)/(6z^2+14z-80)	$\frac{- 3 z + 6}{6 z^{2} + 14 z - 80}$
172319	Simplify	-8ab^3(a^5b^4+6a^2b+3ab-6)	$- 8 a b^{3} (a^{5} b^{4} + 6 a^{2} b + 3 a b - 6)$
172320	Solve for x	square root of 3x-2=-1+2x^2	$\sqrt{3 x - 2} = - 1 + 2 x^{2}$
172321	Find the Domain and Range	f(x)=1/2 square root of x	$f (x) = \frac{1}{2} \sqrt{x}$
172322	Convert to a Decimal	165deg	$165$ degrees
172323	Evaluate	59+3^3-12(7-5)^2	$59 + 3^{3} - 12 {(7 - 5)}^{2}$
172324	Solve for x	y+4x=10x-6	$y + 4 x = 10 x - 6$
172325	Factor	P(x)=x^4-5x^2+4	$P (x) = x^{4} - 5 x^{2} + 4$
172326	Solve the Absolute Value Inequality for x	\|x-10\|>=1	$\| x - 10 \| \geq 1$
172327	Solve for x	z=y/x	$z = \frac{y}{x}$
172328	Find the Roots (Zeros)	(x^2+4x+3)(x^2-4)	$(x^{2} + 4 x + 3) (x^{2} - 4)$
172329	Solve for x	(x^2+78x)^(1/5)=3	${(x^{2} + 78 x)}^{\frac{1}{5}} = 3$
172330	Solve the Inequality for y	y-5>=8	$y - 5 \geq 8$
172331	Simplify	(3xy^2)(4xy)(2xy)^3	$(3 x y^{2}) (4 x y) {(2 x y)}^{3}$
172332	Simplify	(1/5-1/(15x))/(1/x-1/(3x^2))	$\frac{\frac{1}{5} - \frac{1}{15 x}}{\frac{1}{x} - \frac{1}{3 x^{2}}}$
172333	Simplify	square root of 7/8* square root of 7/18	$\sqrt{\frac{7}{8}} \cdot \sqrt{\frac{7}{18}}$
172334	Simplify	((5v^3)/(u^6))(-(6u^2)/(v^4))	$(\frac{5 v^{3}}{u^{6}}) (- \frac{6 u^{2}}{v^{4}})$
172335	Simplify	((7x-14)/(x^2-3x-4)*(x^2-16)/(2x^2-3x-2))÷((x+4)/(4x^2-1))	$\frac{7 x - 14}{x^{2} - 3 x - 4} \cdot \frac{x^{2} - 16}{2 x^{2} - 3 x - 2} \div \frac{x + 4}{4 x^{2} - 1}$
172336	Solve for x	-6(2x+4)+1/2(8+3x)=-20	$- 6 (2 x + 4) + \frac{1}{2} (8 + 3 x) = - 20$
172337	Solve for x	x=4+(4x-4)1/2	$x = 4 + (4 x - 4) \frac{1}{2}$
172338	Solve for t	30(8.75)+11t=400	$30 (8.75) + 11 t = 400$
172339	Graph	f(x)=-3(x+1)(x^2-4)	$f (x) = - 3 (x + 1) (x^{2} - 4)$
172340	Find the Holes in the Graph	f(x)=(x-3)/(x^2-2x-3)	$f (x) = \frac{x - 3}{x^{2} - 2 x - 3}$
172341	Write in Standard Form	x^2-1=-7x	$x^{2} - 1 = - 7 x$
172342	Solve for p	3/10p=1/2+2/5p+1 1/10	$\frac{3}{10} p = \frac{1}{2} + \frac{2}{5} p + 1 \frac{1}{10}$
172343	Evaluate	square root of (X-8)+8+2	$\sqrt{(X - 8) + 8} + 2$
172344	Solve the Absolute Value Inequality for k	\|3k-2\|=2\|k+2\|	$\| 3 k - 2 \| = 2 \| k + 2 \|$
172345	Solve for x	1+5/(x-1)=(3x+7)/(x^2-1)	$1 + \frac{5}{x - 1} = \frac{3 x + 7}{x^{2} - 1}$
172346	Graph	y<=x-2 y>=1/4x-4	$y \leq x - 2$ $y \geq \frac{1}{4} x - 4$
172347	Solve for q	p=q/4-r	$p = \frac{q}{4} - r$
172348	Solve the Inequality for x	-10<-10x	$- 10 < - 10 x$
172349	Graph	w/-5<=16	$\frac{w}{- 5} \leq 16$
172350	Solve for a	1=8÷a	$1 = 8 \div a$
172351	Write in Exponential Form	log base (x+1) of 4x=6/7	$\log_{(x + 1)} (4 x) = \frac{6}{7}$
172352	Find the Roots (Zeros)	P(x)=x^3+x^2+x+1	$P (x) = x^{3} + x^{2} + x + 1$
172353	Solve for c	1/6=11/12c+5/6	$\frac{1}{6} = \frac{11}{12} c + \frac{5}{6}$
172354	Solve for x	-6x-1+5x^2=8x^2	$- 6 x - 1 + 5 x^{2} = 8 x^{2}$
172355	Factor	4p^4q+32pq^4	$4 p^{4} q + 32 p q^{4}$
172356	Graph	-138>=-6(6b-7)	$- 138 \geq - 6 (6 b - 7)$
172357	Solve for a	a*0.7a-2b=5a+b	$a \cdot 0.7 a - 2 b = 5 a + b$
172358	Solve for x	5+4/7(21+3x)=41	$5 + \frac{4}{7} (21 + 3 x) = 41$
172359	Solve the Absolute Value Inequality for x	\|x-2\|>=3	$\| x - 2 \| \geq 3$
172360	Describe the Transformation	g(x)=f(x)-3	$g (x) = f (x) - 3$
172361	Simplify	(5^2)^4*5^5	${(5^{2})}^{4} \cdot 5^{5}$
172362	Simplify	3-2a+3a+5a	$3 - 2 a + 3 a + 5 a$
172363	Simplify	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
172364	Solve for k	d=1/3fk for k	$d = \frac{1}{3} f k$ for $k$
172365	Graph	tan(theta)>0 , sin(theta)<0	$\tan (θ) > 0$ , $\sin (θ) < 0$
172366	Solve for w	v+w-x=y	$v + w - x = y$
172367	Simplify	(5x^2+20xy+20y^2)/(x^2-xy-6y^2)	$\frac{5 x^{2} + 20 x y + 20 y^{2}}{x^{2} - x y - 6 y^{2}}$
172368	Find the Point-Slope Form	y=3x	$y = 3 x$
172369	Solve for x	2(4+2x)=6+3x	$2 (4 + 2 x) = 6 + 3 x$
172370	Solve the System of Inequalities	2x-3<=4x+3<2x+5	$2 x - 3 \leq 4 x + 3 < 2 x + 5$
172371	Find the Slope and y-intercept	y+1=4/3x	$y + 1 = \frac{4}{3} x$
172372	Solve for x	-7/(3x)-1/(6x)=1/5	$- \frac{7}{3 x} - \frac{1}{6 x} = \frac{1}{5}$
172373	Solve for p	-3/8p+1/2+5/4p=-1/2p-2+7/8p	$- \frac{3}{8} p + \frac{1}{2} + \frac{5}{4} p = - \frac{1}{2} p - 2 + \frac{7}{8} p$
172374	Solve the Inequality for x	(x-2)/(x+5)<=0	$\frac{x - 2}{x + 5} \leq 0$
172375	Solve for a	5/a+1/2=6/a	$\frac{5}{a} + \frac{1}{2} = \frac{6}{a}$
172376	Graph	f(x)>=\|x+2\|-3	$f (x) \geq \| x + 2 \| - 3$
172377	Simplify	- square root of 16- square root of -5- square root of 9+ square root of -180	$- \sqrt{16} - \sqrt{- 5} - \sqrt{9} + \sqrt{- 180}$
172378	Find the Holes in the Graph	(x-3)/(x^2-9)	$\frac{x - 3}{x^{2} - 9}$
172379	Find the Holes in the Graph	(x^2-25)/(x-5)	$\frac{x^{2} - 25}{x - 5}$
172380	Find the Function	f(x)=1/(x-2)	$f (x) = \frac{1}{x - 2}$
172381	Simplify	2(x-7)+(8x+20)	$2 (x - 7) + (8 x + 20)$
172382	Simplify	(2(b^-1j^-2)^-1)/(10b^3)	$\frac{2 {(b^{- 1} j^{- 2})}^{- 1}}{10 b^{3}}$
172383	Solve for z	1/6(12z-18)=2z-3	$\frac{1}{6} (12 z - 18) = 2 z - 3$
172384	Simplify	x/(1/2)	$\frac{x}{\frac{1}{2}}$
172385	Simplify	1/x+1/(2x)	$\frac{1}{x} + \frac{1}{2 x}$
172386	Simplify	4m+5 square root of n-m+6m-3 square root of n	$4 m + 5 \sqrt{n} - m + 6 m - 3 \sqrt{n}$
172387	Simplify	(6/(28x+4))÷(6/(35x+5))	$\frac{6}{28 x + 4} \div \frac{6}{35 x + 5}$
172388	Solve for x	9x-x^3=0	$9 x - x^{3} = 0$
172389	Simplify	- square root of 4+ square root of -200- square root of 1+ square root of -18	$- \sqrt{4} + \sqrt{- 200} - \sqrt{1} + \sqrt{- 18}$
172390	Evaluate	18-12+2*3^2-12÷(1+1)	$18 - 12 + 2 \cdot 3^{2} - 12 \div (1 + 1)$
172391	Evaluate	(3m-4)^3(3m^5)	${(3 m - 4)}^{3} (3 m^{5})$
172392	Solve for y	y-7(y-7)=(-9y+12)-9	$y - 7 (y - 7) = (- 9 y + 12) - 9$
172393	Find the Product	-4x^5(11x^3+2x^2+9x+1)	$- 4 x^{5} (11 x^{3} + 2 x^{2} + 9 x + 1)$
172394	Graph	-3>=2x+3>7	$- 3 \geq 2 x + 3 > 7$
172395	Solve for m	25m^2=396-m^4	$25 m^{2} = 396 - m^{4}$
172396	Solve for x	4(7-3x)=7(4-2x)	$4 (7 - 3 x) = 7 (4 - 2 x)$
172397	Solve for h	v=Bh for h	$v = B h$ for $h$
172398	Simplify	4(2-3w)(w^2-2w+10)	$4 (2 - 3 w) (w^{2} - 2 w + 10)$
172399	Rationalize the Denominator	(5 square root of 7)/( square root of 35)	$\frac{5 \sqrt{7}}{\sqrt{35}}$
172400	Find the Exact Value	sec(360 degrees )	$\sec (360 °)$