Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176301	Solve for a	ax-5=b	$a x - 5 = b$
176302	Graph	y>=2x-8 y<-1/3x+6	$y \geq 2 x - 8$ $y < - \frac{1}{3} x + 6$
176303	Graph	1/3(x-6)^2+1	$\frac{1}{3} {(x - 6)}^{2} + 1$
176304	Simplify	4 square root of 50c^2-4 square root of 98c^2+4c square root of 72	$4 \sqrt{50 c^{2}} - 4 \sqrt{98 c^{2}} + 4 c \sqrt{72}$
176305	Determine the Number of Significant Figures	10.0	$10$
176306	Graph	7x+\|y\|=0	$7 x + \| y \| = 0$
176307	Evaluate	(f-g)(3)	$(f - g) (3)$
176308	Solve the System of Equations	-6x-4y+3z=7 -2x+5y+z=15 x-5y+6z=-19	$- 6 x - 4 y + 3 z = 7$ $- 2 x + 5 y + z = 15$ $x - 5 y + 6 z = - 19$
176309	Find the Domain and Range	a(x)=-5\|x\|	$a (x) = - 5 \| x \|$
176310	Solve the System of Equations	3x+2y=4 and 5x-2y=12	$3 x + 2 y = 4$ and $5 x - 2 y = 12$
176311	Simplify	(8x^-3y*5x^5y)/(10x^6y^2)	$\frac{8 x^{- 3} y \cdot 5 x^{5} y}{10 x^{6} y^{2}}$
176312	Solve the System of Equations	y=x^2-5x+5 y=-2x+23	$y = x^{2} - 5 x + 5$ $y = - 2 x + 23$
176313	Solve the Inequality for x	x^2+36>12x	$x^{2} + 36 > 12 x$
176314	Simplify	(-216/125)^(-2/3)	${(- \frac{216}{125})}^{- \frac{2}{3}}$
176315	Factor	x-x^2+20	$x - x^{2} + 20$
176316	Solve for d	7-4(d-3)=23	$7 - 4 (d - 3) = 23$
176317	Solve for θ	tan(theta)=1/2	$\tan (θ) = \frac{1}{2}$
176318	Solve for x	log base 2 of 3x+4 log base 2 of 4=2	$\log_{2} (3 x) + 4 \log_{2} (4) = 2$
176319	Write as a Single Logarithm	log base 2 of 8	$\log_{2} (8)$
176320	Write in Standard Form	(-5m^2-8)-(-3m^2+m+2)	$(- 5 m^{2} - 8) - (- 3 m^{2} + m + 2)$
176321	Simplify	(3x^2+6x)/(x^2-8x+12)*(x^2+8x-20)/(x^4+12x^3+20x^2)	$\frac{3 x^{2} + 6 x}{x^{2} - 8 x + 12} \cdot \frac{x^{2} + 8 x - 20}{x^{4} + 12 x^{3} + 20 x^{2}}$
176322	Find the Exact Value	(x-2)^2	${(x - 2)}^{2}$
176323	Find the Exact Value	sin(arctan(u))	$\sin (\arctan (u))$
176324	Solve the Inequality for k	-50<7k+6<-8	$- 50 < 7 k + 6 < - 8$
176325	Solve for x	log base 2 of 5x+3 log base 2 of 2=0	$\log_{2} (5 x) + 3 \log_{2} (2) = 0$
176326	Write in Standard Form	15+4x^2=-2x+3x^2+4	$15 + 4 x^{2} = - 2 x + 3 x^{2} + 4$
176327	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-7x+6=0	$x^{2} - 7 x + 6 = 0$
176328	Graph	y<=-x+4 , y>=x+2 , y>=0 , x>=0	$y \leq - x + 4$ , $y \geq x + 2$ , $y \geq 0$ , $x \geq 0$
176329	Solve by Completing the Square	3s^2+8s=2s-9	$3 s^{2} + 8 s = 2 s - 9$
176330	Find All Complex Solutions	4sin(theta)^2=1	$4 \sin^{2} (θ) = 1$
176331	Solve for v	1/v+(3v+12)/(v^2-5v)=(7v-56)/(v^2-5v)	$\frac{1}{v} + \frac{3 v + 12}{v^{2} - 5 v} = \frac{7 v - 56}{v^{2} - 5 v}$
176332	Solve for a	V=1/3a^2h	$V = \frac{1}{3} a^{2} h$
176333	Find the Exact Value	1/3+1/3	$\frac{1}{3} + \frac{1}{3}$
176334	Evaluate	(x^2)^5	${(x^{2})}^{5}$
176335	Write in Slope-Intercept Form	x+y<=3	$x + y \leq 3$
176336	Solve the Inequality for x	1/(x^2)<0.000001	$\frac{1}{x^{2}} < 0.000001$
176337	Factor	a^3+a+a^2+1+x^2+a^2x^2	$a^{3} + a + a^{2} + 1 + x^{2} + a^{2} x^{2}$
176338	Graph	(-1,-8)	$(- 1, - 8)$
176339	Graph	x/3+10>=15	$\frac{x}{3} + 10 \geq 15$
176340	Solve for x	log base 6 of 7x-3 log base 6 of 4=1	$\log_{6} (7 x) - 3 \log_{6} (4) = 1$
176341	Solve for x	3300=760(1.03)^x+1000	$3300 = 760 {(1.03)}^{x} + 1000$
176342	Solve for c	a=b(c+d) for c	$a = b (c + d)$ for $c$
176343	Find the Product	(3a-5b)^2	${(3 a - 5 b)}^{2}$
176344	Solve the System of Inequalities	-12<=4x-4 or 24<4x-4	$- 12 \leq 4 x - 4$ or $24 < 4 x - 4$
176345	Solve for x	x-(2x+1)/(x+4)=7/(x+4)	$x - \frac{2 x + 1}{x + 4} = \frac{7}{x + 4}$
176346	Solve for x	log base 1/2 of 3-x=-3	$\log_{\frac{1}{2}} (3 - x) = - 3$
176347	Find g(f(x))	f(x)=9x and g(x)=x/9	$f (x) = 9 x$ and $g (x) = \frac{x}{9}$
176348	Solve for x	4x=x-2	$4 x = x - 2$
176349	Graph	f(x)=[x+2]	$f (x) = [x + 2]$
176350	Solve the Inequality for x	x^2+6x<0	$x^{2} + 6 x < 0$
176351	Find the Slope and y-intercept	y=-5x-3/4	$y = - 5 x - \frac{3}{4}$
176352	Solve for B	2.50+5B<=21	$2.5 + 5 B \leq 21$
176353	Expand the Logarithmic Expression	log of (y^2 cube root of z^5)/(x^4)	$\log (\frac{y^{2} \sqrt[3]{z^{5}}}{x^{4}})$
176354	Find the Product	5/8e-2=4+1/4e-3/4e	$\frac{5}{8} e - 2 = 4 + \frac{1}{4} e - \frac{3}{4} e$
176355	Find the Exact Value	cos(arcsin(2x))	$\cos (\arcsin (2 x))$
176356	Simplify	sin(15 degrees )	$\sin (15 °)$
176357	Solve for m	8(3/4m+2)-3(1/6m-4)=3/2m	$8 (\frac{3}{4} m + 2) - 3 (\frac{1}{6} m - 4) = \frac{3}{2} m$
176358	Simplify	fifth root of 27x^2* fifth root of 9x^3	$\sqrt[5]{27 x^{2}} \cdot \sqrt[5]{9 x^{3}}$
176359	Solve for x	x^2=y^2	$x^{2} = y^{2}$
176360	Solve for n	5(1+n)=-5	$5 (1 + n) = - 5$
176361	Simplify	2i^2-3(i-7)+5i	$2 i^{2} - 3 (i - 7) + 5 i$
176362	Solve for x	5/8+3/2(1/4x-(1/2x+1/3)-5/4)=3/4(x-1/6)-x	$\frac{5}{8} + \frac{3}{2} \cdot (\frac{1}{4} x - (\frac{1}{2} x + \frac{1}{3}) - \frac{5}{4}) = \frac{3}{4} \cdot (x - \frac{1}{6}) - x$
176363	Solve for x	n(17+x)=34x-r	$n (17 + x) = 34 x - r$
176364	Find the Midpoint	(1,-10) and (8,-4)	$(1, - 10)$ and $(8, - 4)$
176365	Expand the Logarithmic Expression	log of (z square root of y^3)/x	$\log (\frac{z \sqrt{y^{3}}}{x})$
176366	Simplify	cube root of (63x^5)/(72y^6)	$\sqrt[3]{\frac{63 x^{5}}{72 y^{6}}}$
176367	Simplify	m^2+71mn-14m^2-65mn+m^3-m^2-115m^2+6m^3	$m^{2} + 71 m n - 14 m^{2} - 65 m n + m^{3} - m^{2} - 115 m^{2} + 6 m^{3}$
176368	Solve the Inequality for x	4(x+2)^2<=0	$4 {(x + 2)}^{2} \leq 0$
176369	Simplify	(15x+15)/(5x^3-50x^2)*(x^2-100)/(x^2+2x-80)	$\frac{15 x + 15}{5 x^{3} - 50 x^{2}} \cdot \frac{x^{2} - 100}{x^{2} + 2 x - 80}$
176370	Solve the System of Equations	x+5y=5 3x-5y=3	$x + 5 y = 5$ $3 x - 5 y = 3$
176371	Simplify	14/(3- square root of 2)	$\frac{14}{3 - \sqrt{2}}$
176372	Solve for x	-2x^2+6x-28=4+2x-3x^2	$- 2 x^{2} + 6 x - 28 = 4 + 2 x - 3 x^{2}$
176373	Simplify	9x cube root of 3x^4-2 cube root of 24x^7	$9 x \sqrt[3]{3 x^{4}} - 2 \sqrt[3]{24 x^{7}}$
176374	Solve for x	square root of -4x+1+ square root of 2x+4=3	$\sqrt{- 4 x + 1} + \sqrt{2 x + 4} = 3$
176375	Solve for θ	cos(theta)=2/3	$\cos (θ) = \frac{2}{3}$
176376	Solve for v	-9/8=v-1/2	$- \frac{9}{8} = v - \frac{1}{2}$
176377	Solve for x	5/14=1/3x	$\frac{5}{14} = \frac{1}{3} x$
176378	Simplify	1/4-1	$\frac{1}{4} - 1$
176379	Solve for x	3-2(x-2)=2-7x	$3 - 2 (x - 2) = 2 - 7 x$
176380	Solve for x	1=1-5x-7x	$1 = 1 - 5 x - 7 x$
176381	Factor	(32x^2+4x-21)/(4x-3)	$\frac{32 x^{2} + 4 x - 21}{4 x - 3}$
176382	Graph	g(x)=f(x-3)+2	$g (x) = f (x - 3) + 2$
176383	Evaluate	1*3^(7-1)	$1 \cdot 3^{7 - 1}$
176384	Graph	4>=x	$4 \geq x$
176385	Simplify	(x^2-9)/(x+1)*(x+1)/(x-3)	$\frac{x^{2} - 9}{x + 1} \cdot \frac{x + 1}{x - 3}$
176386	Find the Degree, Leading Term, and Leading Coefficient	f(x)=(x+3)^2(x-2)^3(x-1)	$f (x) = {(x + 3)}^{2} {(x - 2)}^{3} (x - 1)$
176387	Solve for x	3/4x+3-2x=-1/4+1/2x+5	$\frac{3}{4} x + 3 - 2 x = - \frac{1}{4} + \frac{1}{2} x + 5$
176388	Solve for x	3(x-6)=8x-3(3x+7)	$3 (x - 6) = 8 x - 3 (3 x + 7)$
176389	Write in Standard Form	-8x+4x^2=-4-2x	$- 8 x + 4 x^{2} = - 4 - 2 x$
176390	Simplify	-3/(4n^3)+(13n-4)/(4n^3)	$\frac{- 3}{4 n^{3}} + \frac{13 n - 4}{4 n^{3}}$
176391	Solve the Inequality for x	-7x+14>-3x-6	$- 7 x + 14 > - 3 x - 6$
176392	Complete the Square	x^2-x/4	$x^{2} - \frac{x}{4}$
176393	Find the Function	f(x)=x^2-6x+5	$f (x) = x^{2} - 6 x + 5$
176394	Simplify	s^2(-7+s-2s^2+6s^3)	$s^{2} (- 7 + s - 2 s^{2} + 6 s^{3})$
176395	Solve for x	3x-8=(8x+4)/2	$3 x - 8 = \frac{8 x + 4}{2}$
176396	Solve the Inequality for x	x^2<=6x-4	$x^{2} \leq 6 x - 4$
176397	Find All Complex Solutions	-5x+12=-12x-12	$- 5 x + 12 = - 12 x - 12$
176398	Solve for b	A=piab	$A = π a b$
176399	Simplify	(-a^3b^2c)^2	${(- a^{3} b^{2} c)}^{2}$
176400	Solve the Rational Equation for x	2x+3=x/4	$2 x + 3 = \frac{x}{4}$