Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170101	Solve for x	2^(3x)=8^(1-x)	$2^{3 x} = 8^{1 - x}$
170102	Multiply	3 square root of 2*3 square root of 2	$3 \sqrt{2} \cdot 3 \sqrt{2}$
170103	Find the LCM	4x-26 , 2x+70	$4 x - 26$ , $2 x + 70$
170104	Evaluate	1/(e^infinity)	$\frac{1}{e^{\infty}}$
170105	Find the Product	(2x^2-x+1)(x-3)	$(2 x^{2} - x + 1) (x - 3)$
170106	Simplify	(8-3a^2)(2a^2+6)	$(8 - 3 a^{2}) (2 a^{2} + 6)$
170107	Solve for x	x^4=4	$x^{4} = 4$
170108	Solve for y	4x-5=7+4y for y	$4 x - 5 = 7 + 4 y$ for $y$
170109	Divide	12÷1 1/5	$12 \div 1 \frac{1}{5}$
170110	Find the x and y Intercepts	f(x)=(-4x+8)/(2x^2-8)	$f (x) = \frac{- 4 x + 8}{2 x^{2} - 8}$
170111	Simplify	(12m^2)/((4m)^-4)	$\frac{12 m^{2}}{{(4 m)}^{- 4}}$
170112	Find f(g(x))	f(x)=5x-2 , g(x)=-x^2+4x-1	$f (x) = 5 x - 2$ , $g (x) = - x^{2} + 4 x - 1$
170113	Evaluate	square root of 4-x^2	$\sqrt{4 - x^{2}}$
170114	Find the Product	(3x)^2	${(3 x)}^{2}$
170115	Combine Like Terms	3x-x+6x^2-2-4+6+5x	$3 x - x + 6 x^{2} - 2 - 4 + 6 + 5 x$
170116	Solve the System of Inequalities	2x-4>-14 or 2x-4<=10	$2 x - 4 > - 14$ or $2 x - 4 \leq 10$
170117	Solve for a	fourth root of a-5=-1	$\sqrt[4]{a - 5} = - 1$
170118	Solve for B	(2pi)/B=4pi	$\frac{2 π}{B} = 4 π$
170119	Write in Slope-Intercept Form	(-4,2) , (12,6)	$(- 4, 2)$ , $(12, 6)$
170120	Find the Product	(5x+2)(x^2-3x+6)	$(5 x + 2) (x^{2} - 3 x + 6)$
170121	Simplify	(x-1)/(x^2+2x+1)*(x^2-1)/(x+1)	$\frac{x - 1}{x^{2} + 2 x + 1} \cdot \frac{x^{2} - 1}{x + 1}$
170122	Solve for a	g=ca-b ; for a	$g = c a - b$ ; for $a$
170123	Solve for x	81=\|9x\|	$81 = \| 9 x \|$
170124	Divide Using Long Polynomial Division	(-9x^4+4x^2+15-14x^3)÷(-x^2-x+2)	$(- 9 x^{4} + 4 x^{2} + 15 - 14 x^{3}) \div (- x^{2} - x + 2)$
170125	Find the Exact Value	sin((7pi)/12)cos(pi/4)-cos((7pi)/12)sin(pi/4)	$\sin (\frac{7 π}{12}) \cos (\frac{π}{4}) - \cos (\frac{7 π}{12}) \sin (\frac{π}{4})$
170126	Write in Slope-Intercept Form	(6,-2) , (12,1)	$(6, - 2)$ , $(12, 1)$
170127	Factor	45x^3z+9x^5y^3	$45 x^{3} z + 9 x^{5} y^{3}$
170128	Graph	y-x<2x+2	$y - x < 2 x + 2$
170129	Find the x and y Intercepts	f(x)=5*(1/6)^x	$f (x) = 5 \cdot {(\frac{1}{6})}^{x}$
170130	Solve for w	square root of w=6	$\sqrt{w} = 6$
170131	Solve the Inequality for x	1/3x+2<1/6x-1	$\frac{1}{3} x + 2 < \frac{1}{6} x - 1$
170132	Multiply	fifth root of 4x^2* fifth root of 4x^2	$\sqrt[5]{4 x^{2}} \cdot \sqrt[5]{4 x^{2}}$
170133	Graph	x=x^2	$x = x^{2}$
170134	Simplify	(x*x^-4)/(x^3)	$\frac{x \cdot x^{- 4}}{x^{3}}$
170135	Simplify	512z-4(5z+3z(27-15))+80	$512 z - 4 (5 z + 3 z (27 - 15)) + 80$
170136	Find the Exact Value	(f+g)(2)	$(f + g) (2)$
170137	Evaluate	pi*1/2	$π \cdot \frac{1}{2}$
170138	Graph	y=f(x/2)	$y = f (\frac{x}{2})$
170139	Solve the Inequality for x	x/3<=x+2	$\frac{x}{3} \leq x + 2$
170140	Find the Domain and Range	f(x)=5+x	$f (x) = 5 + x$
170141	Simplify	(5^56^38^10)/(5^368^9)	$\frac{5^{5} \cdot 6^{3} \cdot 8^{10}}{5^{3} \cdot 6 \cdot 8^{9}}$
170142	Evaluate	square root of x^2-1	$\sqrt{x^{2} - 1}$
170143	Factor	-42xy^5z^2-41x^5y^3z^6	$- 42 x y^{5} z^{2} - 41 x^{5} y^{3} z^{6}$
170144	Simplify	(cos(theta))/(csc(theta)+1)*(csc(theta)-1)/(csc(theta)-1)	$\frac{\cos (θ)}{\csc (θ) + 1} \cdot \frac{\csc (θ) - 1}{\csc (θ) - 1}$
170145	Graph	y=f(x/-1)	$y = f (\frac{x}{- 1})$
170146	Find the Quotient	(-4x^4+3x^2+12-11x^3)÷(-x^2-2x+3)	$(- 4 x^{4} + 3 x^{2} + 12 - 11 x^{3}) \div (- x^{2} - 2 x + 3)$
170147	Solve for x	square root of 2x+8=5 log base 3 of x	$\sqrt{2 x + 8} = 5 \log_{3} (x)$
170148	Convert to Polar	y=2x^2	$y = 2 x^{2}$
170149	Simplify	(-4x^2+16)/(2x^2+2x-12)	$\frac{- 4 x^{2} + 16}{2 x^{2} + 2 x - 12}$
170150	Subtract	1-5/2	$1 - \frac{5}{2}$
170151	Simplify	5/6+7/(6x)	$\frac{5}{6} + \frac{7}{6 x}$
170152	Simplify	(5b)/(12a^2)+1/(3a)-(3b^2)/(8a^3)	$\frac{5 b}{12 a^{2}} + \frac{1}{3 a} - \frac{3 b^{2}}{8 a^{3}}$
170153	Factor	-42xy^6z^3+7x^4y^2z^5	$- 42 x y^{6} z^{3} + 7 x^{4} y^{2} z^{5}$
170154	Graph	y=1/2 square root of x+3-2	$y = \frac{1}{2} \sqrt{x + 3} - 2$
170155	Find the Quotient	(x^5+x^3-x^2)÷(x-2)	$(x^{5} + x^{3} - x^{2}) \div (x - 2)$
170156	Write in Standard Form	(c+8)(8c+2)	$(c + 8) (8 c + 2)$
170157	Solve for x	7/4x-5=2(x-1)	$\frac{7}{4} x - 5 = 2 (x - 1)$
170158	Find the Function	f(x)=2x^2+1	$f (x) = 2 x^{2} + 1$
170159	Simplify	(7+6)/2	$\frac{7 + 6}{2}$
170160	Simplify	3x+(2+7x)	$3 x + (2 + 7 x)$
170161	Solve the Inequality for x	5x<=12-2x^2	$5 x \leq 12 - 2 x^{2}$
170162	Evaluate Using the Given Value	j/k-0.2k when j=25 and k=5	$\frac{j}{k} - 0.2 k$ when $j = 25$ and $k = 5$
170163	Solve for r	(n-p)/(r-5)=m	$\frac{n - p}{r - 5} = m$
170164	Solve the Inequality for s	7-s/2>3	$7 - \frac{s}{2} > 3$
170165	Solve for x	\|4x+4\|-10=3x	$\| 4 x + 4 \| - 10 = 3 x$
170166	Graph	f(x)=\|x\| if x<1; -x+2 if x>=1	$f (x) = {\begin{cases} \| x \| & x < 1 \\ - x + 2 & x \geq 1 \end{cases}$
170167	Simplify	1/(6c^2d)+3/(4cd^3)	$\frac{1}{6 c^{2} d} + \frac{3}{4 c d^{3}}$
170168	Factor	28x^2-15x^5yz^2	$28 x^{2} - 15 x^{5} y z^{2}$
170169	Find the Domain and Range	y=1+1/x	$y = 1 + \frac{1}{x}$
170170	Evaluate	-5/6e-2/3e=-24	$- \frac{5}{6} e - \frac{2}{3} e = - 24$
170171	Solve for x	2(x+7)+3x=12	$2 (x + 7) + 3 x = 12$
170172	Solve for b	-1/6b+5/6=-1/3	$- \frac{1}{6} b + \frac{5}{6} = - \frac{1}{3}$
170173	Simplify	(1.5x-2.4)^2-(5.2x^2-6.4)	${(1.5 x - 2.4)}^{2} - (5.2 x^{2} - 6.4)$
170174	Graph	f(x)=x^3-4x^2+x+6	$f (x) = x^{3} - 4 x^{2} + x + 6$
170175	Factor	16x^6-2x^3y^2+(y^4)/16	$16 x^{6} - 2 x^{3} y^{2} + \frac{y^{4}}{16}$
170176	Graph	G(x) = log of x+4	$G (x) = \log (x + 4)$
170177	Evaluate	5f(1)+5g(9)	$5 \cdot f (1) + 5 \cdot g (9)$
170178	Find the Inverse	f(x)=3 cube root of x	$f (x) = 3 \sqrt[3]{x}$
170179	Graph	f^-1(x)=x^2	$f^{- 1} (x) = x^{2}$
170180	Factor	-X^3-3x^2-4x	$- X^{3} - 3 x^{2} - 4 x$
170181	Simplify	-6i*(6-2i)	$- 6 i \cdot (6 - 2 i)$
170182	Simplify	(12y^2+12y-7)/(-4y+3)-(y+8)/(4y-3)	$\frac{12 y^{2} + 12 y - 7}{- 4 y + 3} - \frac{y + 8}{4 y - 3}$
170183	Simplify	(1/2x^3+6x)^2	${(\frac{1}{2} x^{3} + 6 x)}^{2}$
170184	Solve for t	\|7t-2\|<=12	$\| 7 t - 2 \| \leq 12$
170185	Solve for x	square root of 6x-4 = square root of 2x+10	$\sqrt{6 x - 4} = \sqrt{2 x + 10}$
170186	Find the First Term	2n^2	$2 n^{2}$
170187	Expand the Logarithmic Expression	log of ( cube root of x^2)/((x+8)^5)	$\log (\frac{\sqrt[3]{x^{2}}}{{(x + 8)}^{5}})$
170188	Solve the Inequality for x	(4x+2)/5<=2	$\frac{4 x + 2}{5} \leq 2$
170189	Graph	x-y<0	$x - y < 0$
170190	Graph	h(x)=2f(x)	$h (x) = 2 f (x)$
170191	Write in Standard Form	2x^2+3x+7=x	$2 x^{2} + 3 x + 7 = x$
170192	Evaluate	-5.8c+4.2-3.1+1.4c	$- 5.8 c + 4.2 - 3.1 + 1.4 c$
170193	Graph	f(x)=-\|x\|+3 if x<=-2; 4x+1 if x>-2	$f (x) = {\begin{cases} - \| x \| + 3 & x \leq - 2 \\ 4 x + 1 & x > - 2 \end{cases}$
170194	Write in Exponential Form	log base (x+4) of x^2+3x-7=3	$\log_{(x + 4)} (x^{2} + 3 x - 7) = 3$
170195	Find the First Term	a_n=4(5)^(n-1)	$a_{n} = 4 {(5)}^{n - 1}$
170196	Solve the Inequality for y	-12<y-6	$- 12 < y - 6$
170197	Simplify	(-15w^2+37w-8)/(-5w+7)+(6w+6)/(5w-7)	$\frac{- 15 w^{2} + 37 w - 8}{- 5 w + 7} + \frac{6 w + 6}{5 w - 7}$
170198	Find the Product	7x^3(5x^2+3x+1)	$7 x^{3} (5 x^{2} + 3 x + 1)$
170199	Solve for m	(3m)/4-m/12=7/8	$\frac{3 m}{4} - \frac{m}{12} = \frac{7}{8}$
170200	Solve the Inequality for x	x-3(x+2)>4	$x - 3 (x + 2) > 4$