Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
160101	Solve for A	5d=f^3A+QA	$5 d = f^{3} A + Q A$
160102	Graph	f(x)=1/4(x+5)^2+2	$f (x) = \frac{1}{4} {(x + 5)}^{2} + 2$
160103	Solve for r	8(x+6)-10+r=3(x+12)+5x	$8 (x + 6) - 10 + r = 3 (x + 12) + 5 x$
160104	Simplify	2 square root of 2*7 square root of 18	$2 \sqrt{2} \cdot 7 \sqrt{18}$
160105	Find the Exact Value	(1/2)^3	${(\frac{1}{2})}^{3}$
160106	Simplify	(8-3i)-(8-3i)(8+8i)	$(8 - 3 i) - (8 - 3 i) (8 + 8 i)$
160107	Simplify	(160*243)^(1/5)	${(160 \cdot 243)}^{\frac{1}{5}}$
160108	Solve for t	30+6t=11t	$30 + 6 t = 11 t$
160109	Solve for x	2x-1=3/4x+9	$2 x - 1 = \frac{3}{4} x + 9$
160110	Solve for n	a=m-n	$a = m - n$
160111	Simplify	(-2/5y)-(-5/2y)	$(- \frac{2}{5} y) - (- \frac{5}{2} y)$
160112	Solve for x	4/(3x+3)=7/(x+5)	$\frac{4}{3 x + 3} = \frac{7}{x + 5}$
160113	Find the Product	(4x)(-3x^8)(-7x^3)	$(4 x) (- 3 x^{8}) (- 7 x^{3})$
160114	Solve for G	H^2=mG+qG	$H^{2} = m G + q G$
160115	Solve for x	5+4x-7=4x-2-x	$5 + 4 x - 7 = 4 x - 2 - x$
160116	Graph Using a Table of Values	g(x)=2^x	$g (x) = 2^{x}$
160117	Solve the Inequality for a	a/4<10.2	$\frac{a}{4} < 10.2$
160118	Solve for T	V=(KT)/P	$V = \frac{K T}{P}$
160119	Solve for b	2b-hb=d^3	$2 b - h b = d^{3}$
160120	Solve for a	d^2=1/3a-f	$d^{2} = \frac{1}{3} a - f$
160121	Solve for a	d=Ma-N^3a	$d = M a - N^{3} a$
160122	Solve for x	y^12=y^(2x)	$y^{12} = y^{2 x}$
160123	Evaluate	(4!)/(3!(4-3)!)	$\frac{4!}{3! (4 - 3)!}$
160124	Graph	y=-1/2cos(x)	$y = - \frac{1}{2} \cos (x)$
160125	Solve for r	18r-10r-20r+2r+9r=18	$18 r - 10 r - 20 r + 2 r + 9 r = 18$
160126	Subtract	(7x^2-2)-(2x^2-5x+3)	$(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)$
160127	Solve for p	7(p+3)+9=5(p-2)-3p	$7 (p + 3) + 9 = 5 (p - 2) - 3 p$
160128	Evaluate	ax^2+bx+c=0	$a x^{2} + b x + c = 0$
160129	Solve the System of Inequalities	-9x+2>18 OR 13x+15<=-4	$- 9 x + 2 > 18$ OR $13 x + 15 \leq - 4$
160130	Solve for y	2=-3/10y-7	$2 = - \frac{3}{10} y - 7$
160131	Find the Holes in the Graph	f(x)=(5x-25)/(x^2-5x)	$f (x) = \frac{5 x - 25}{x^{2} - 5 x}$
160132	Solve for x	4/5x-1/10=3/10	$\frac{4}{5} x - \frac{1}{10} = \frac{3}{10}$
160133	Graph	y<=1-3x	$y \leq 1 - 3 x$
160134	Factor	49m^6-70am^3n^2+25a^2n^4	$49 m^{6} - 70 a m^{3} n^{2} + 25 a^{2} n^{4}$
160135	Graph	y<-x+3 y>x-1	$y < - x + 3$ $y > x - 1$
160136	Solve the Inequality for x	54x+64>=49x+59	$54 x + 64 \geq 49 x + 59$
160137	Solve for m	square root of 2m+3=n	$\sqrt{2 m + 3} = n$
160138	Solve the Inequality for x	8/(x-3)>6/(x-1)	$\frac{8}{x - 3} > \frac{6}{x - 1}$
160139	Solve for F	F/(5n^3)+h=g	$\frac{F}{5 n^{3}} + h = g$
160140	Solve for θ	cos(theta)^2+2cos(theta)+1=0	$\cos^{2} (θ) + 2 \cos (θ) + 1 = 0$
160141	Solve the Inequality for b	12b-15>21	$12 b - 15 > 21$
160142	Simplify	((3^6)/(y^-5))^2	${(\frac{3^{6}}{y^{- 5}})}^{2}$
160143	Find the Inverse	y=f(x)	$y = f (x)$
160144	Divide	(2/3)÷(5/6)	$\frac{2}{3} \div \frac{5}{6}$
160145	Solve for a	-g+3/4a=y	$- g + \frac{3}{4} a = y$
160146	Simplify	1/2 square root of 3	$\frac{1}{2} \sqrt{3}$
160147	Multiply	1/6*4	$\frac{1}{6} \cdot 4$
160148	Solve for m	m+1=-2(n+6)	$m + 1 = - 2 (n + 6)$
160149	Find the Product	(2x+y)^2	${(2 x + y)}^{2}$
160150	Solve for x	10=4/3(8x+6)	$10 = \frac{4}{3} (8 x + 6)$
160151	Evaluate	sin(theta)=( square root of 3)/2	$\sin (θ) = \frac{\sqrt{3}}{2}$
160152	Graph Using a Table of Values	y=e^x	$y = e^{x}$
160153	Solve for r	r+15=4r-6	$r + 15 = 4 r - 6$
160154	Solve the Inequality for n	64n-6>=36n-16	$64 n - 6 \geq 36 n - 16$
160155	Solve the Rational Equation for x	(x+3)/(x-4)=(x-5)/(x+4)	$\frac{x + 3}{x - 4} = \frac{x - 5}{x + 4}$
160156	Find the x and y Intercepts	16x^2+16y-32=0	$16 x^{2} + 16 y - 32 = 0$
160157	Solve Using the Quadratic Formula	x^2+1=2x-3	$x^{2} + 1 = 2 x - 3$
160158	Solve for x	square root of x+1=y	$\sqrt{x + 1} = y$
160159	Find the Domain and Range	square root of x^2-9	$\sqrt{x^{2} - 9}$
160160	Graph	f(x)=-10+x^2 if -4<=x<4; -x+10 if x>=4	$f (x) = {\begin{cases} - 10 + x^{2} & - 4 \leq x < 4 \\ - x + 10 & x \geq 4 \end{cases}$
160161	Solve by Substitution	y=5x-3 and -x-5y=-11	$y = 5 x - 3$ and $- x - 5 y = - 11$
160162	Describe the Transformation	g(x)=f(-x)	$g (x) = f (- x)$
160163	Solve the Inequality for C	F=9/5C+32	$F = \frac{9}{5} C + 32$
160164	Find the Exact Value	cos(arcsin(x))	$\cos (\arcsin (x))$
160165	Factor	3x(x-2)-2y(x-2)	$3 x (x - 2) - 2 y (x - 2)$
160166	Solve for a	D=Ga+3h^3a	$D = G a + 3 h^{3} a$
160167	Simplify	(7/2b-3)-(8+6b)	$(\frac{7}{2} b - 3) - (8 + 6 b)$
160168	Find the Exact Value	cos(2)(3pi)/4	$\cos (2) \frac{3 π}{4}$
160169	Evaluate	4pi(5)^2	$4 π {(5)}^{2}$
160170	Solve the Inequality for q	q+12-2(q-22)>0	$q + 12 - 2 (q - 22) > 0$
160171	Solve for D	fD-7=q^2	$f D - 7 = q^{2}$
160172	Convert to a Decimal	0/0	$\frac{0}{0}$
160173	Find the Exact Value	(2/3)^2	${(\frac{2}{3})}^{2}$
160174	Graph	f(x)=1+x^2 if x<1; 9x-7 if x>=1	$f (x) = {\begin{cases} 1 + x^{2} & x < 1 \\ 9 x - 7 & x \geq 1 \end{cases}$
160175	Solve for b	d/b=(n^3)/q	$\frac{d}{b} = \frac{n^{3}}{q}$
160176	Solve for x	4/3+5/(x+2)=2/(x+2)	$\frac{4}{3} + \frac{5}{x + 2} = \frac{2}{x + 2}$
160177	Solve for θ	sin(3theta)=1	$\sin (3 θ) = 1$
160178	Find the Holes in the Graph	((x+1)(x-6))/((x-6)(x+3))	$\frac{(x + 1) (x - 6)}{(x - 6) (x + 3)}$
160179	Solve the System of Equations	x+6y=27 7x-3y=9	$x + 6 y = 27$ $7 x - 3 y = 9$
160180	Solve the Inequality for x	2x<15	$2 x < 15$
160181	Solve for x	4/3+3/(4x)=-5/(6x)	$\frac{4}{3} + \frac{3}{4 x} = - \frac{5}{6 x}$
160182	Find the Inverse	y=f^-1(x)	$y = f^{- 1} (x)$
160183	Solve for x	log base 3x of 324=2	$\log_{3 x} (324) = 2$
160184	Solve for x	6-2/3(x+5)=4x	$6 - \frac{2}{3} (x + 5) = 4 x$
160185	Find the Domain and Range	cot(x)	$\cot (x)$
160186	Find the Product	(2x+3y)^3	${(2 x + 3 y)}^{3}$
160187	Graph Using a Table of Values	f(x)=7^x	$f (x) = 7^{x}$
160188	Subtract	(-x^2-1)-(-2x^2-4)	$(- x^{2} - 1) - (- 2 x^{2} - 4)$
160189	Solve for a	f=ga-ha	$f = g a - h a$
160190	Solve for x	-3-6(x-7)=42-6x	$- 3 - 6 (x - 7) = 42 - 6 x$
160191	Solve for y	0.15(y-0.2)=2-0.5(1-y)	$0.15 (y - 0.2) = 2 - 0.5 (1 - y)$
160192	Find the Holes in the Graph	(x^2+x-6)/(x^2-6x+8)	$\frac{x^{2} + x - 6}{x^{2} - 6 x + 8}$
160193	Solve for x	26^(9x+5)=1	$26^{9 x + 5} = 1$
160194	Find the Exact Value	cos(2)(5pi)/6	$\cos (2) \frac{5 π}{6}$
160195	Simplify	-1^4	$- 1^{4}$
160196	Simplify	square root of x^2y^3+2 square root of x^3y^4+xy square root of y	$\sqrt{x^{2} y^{3}} + 2 \sqrt{x^{3} y^{4}} + x y \sqrt{y}$
160197	Find the Exact Value	square root of 64	$\sqrt{64}$
160198	Subtract	(3x^2+4)-(-5x^2+4x-1)	$(3 x^{2} + 4) - (- 5 x^{2} + 4 x - 1)$
160199	Solve the Inequality for x	-12>=24x	$- 12 \geq 24 x$
160200	Graph Using a Table of Values	f(x)=x^2-1	$f (x) = x^{2} - 1$