Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175101	Solve for x	5-2(3-x)=4x+10	$5 - 2 (3 - x) = 4 x + 10$
175102	Solve for x	x(x-2)+1=0	$x (x - 2) + 1 = 0$
175103	Evaluate	-pi/2-pi/2	$- \frac{π}{2} - \frac{π}{2}$
175104	Solve for x	A=x-y+z	$A = x - y + z$
175105	Solve for x	x/a=c/b+d	$\frac{x}{a} = \frac{c}{b} + d$
175106	Solve by Substitution	2x-y=23 x-9=-1	$2 x - y = 23$ $x - 9 = - 1$
175107	Solve for x	x^3-3x=0	$x^{3} - 3 x = 0$
175108	Solve for h	7-h=3(2/3h+4)	$7 - h = 3 (\frac{2}{3} h + 4)$
175109	Graph Using a Table of Values	f(x)=6^(-x)	$f (x) = 6^{- x}$
175110	Evaluate	natural log of x=3	$\ln (x) = 3$
175111	Simplify the Radical Expression	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
175112	Solve for x	x^2+13/2x+15/2=0	$x^{2} + \frac{13}{2} x + \frac{15}{2} = 0$
175113	Solve the System of Equations	14x+7y=-7 y=-2x-1	$14 x + 7 y = - 7$ $y = - 2 x - 1$
175114	Solve for V	E_c=1/2mV^2	$E_{c} = \frac{1}{2} m V^{2}$
175115	Solve for x	84=(x7)-(x*3)	$8 \cdot 4 = (x \cdot 7) - (x \cdot 3)$
175116	Solve for x	3x-6=2(x+4)	$3 x - 6 = 2 (x + 4)$
175117	Solve for j	9j-8=8+9j	$9 j - 8 = 8 + 9 j$
175118	Solve for y	0.5=0.4y-0.25x	$0.5 = 0.4 y - 0.25 x$
175119	Write in Standard Form	5+7x=-4x^2-5	$5 + 7 x = - 4 x^{2} - 5$
175120	Simplify	3i*(3+2i)	$3 i \cdot (3 + 2 i)$
175121	Solve the Inequality for x	3x<1/2(4x+4)	$3 x < \frac{1}{2} (4 x + 4)$
175122	Graph	f(x)=4 square root of 2x-1+3	$f (x) = 4 \sqrt{2 x - 1} + 3$
175123	Simplify	sin(30 degrees )	$\sin (30 °)$
175124	Solve for y	1/(y^2)=(y-6)/(2y^2)+(3y^2+24y+48)/(y^2)	$\frac{1}{y^{2}} = \frac{y - 6}{2 y^{2}} + \frac{3 y^{2} + 24 y + 48}{y^{2}}$
175125	Simplify	(-12xy)/(7y^4)*(21x^5y^2)/(4y)	$\frac{- 12 x y}{7 y^{4}} \cdot \frac{21 x^{5} y^{2}}{4 y}$
175126	Simplify	(5^(1/8)*5^(3/8))^3	${(5^{\frac{1}{8}} \cdot 5^{\frac{3}{8}})}^{3}$
175127	Find the x and y Intercepts	f(x)=(x^2-3x-10)/x	$f (x) = \frac{x^{2} - 3 x - 10}{x}$
175128	Write in Standard Form	-9x+2x^2-18=-3x	$- 9 x + 2 x^{2} - 18 = - 3 x$
175129	Solve for x	(1/2)^(x-1)=2^(3x-4)	${(\frac{1}{2})}^{x - 1} = 2^{3 x - 4}$
175130	Graph	F(x)=x/((x+5)(x-2))	$F (x) = \frac{x}{(x + 5) (x - 2)}$
175131	Solve for m	F=G(mM)/(r^2) ; for m	$F = G \frac{m M}{r^{2}}$ ; for $m$
175132	Solve for z	-22/5z=-23/10(2z+1)	$- \frac{22}{5} z = - \frac{23}{10} (2 z + 1)$
175133	Combine Like Terms	(4b^2+3)(4b^2-3)	$(4 b^{2} + 3) (4 b^{2} - 3)$
175134	Solve for n	8n+2<=8n-9	$8 n + 2 \leq 8 n - 9$
175135	Find the Domain and Range	f(x) = log base 1/2 of x	$f (x) = \log_{\frac{1}{2}} (x)$
175136	Simplify	(1/2-(x+5)/4)/((x^2)/2-5/2)	$\frac{\frac{1}{2} - \frac{x + 5}{4}}{\frac{x^{2}}{2} - \frac{5}{2}}$
175137	Solve for b	-b=2-4(b+8)	$- b = 2 - 4 (b + 8)$
175138	Solve the Inequality for x	1+5(x-8)<=2-(x+5)	$1 + 5 (x - 8) \leq 2 - (x + 5)$
175139	Solve for x	ax+b=c+d	$a x + b = c + d$
175140	Divide	6 1/4÷5	$6 \frac{1}{4} \div 5$
175141	Solve for p	20=(5^2 square root of p)/5	$20 = \frac{5^{2} \sqrt{p}}{5}$
175142	Solve for x	cube root of x-2=0	$\sqrt[3]{x} - 2 = 0$
175143	Solve for x	1/2(6x+4)=5(2x-8)	$\frac{1}{2} (6 x + 4) = 5 (2 x - 8)$
175144	Convert to a Simplified Fraction	2.35*2/3	$2.35 \cdot \frac{2}{3}$
175145	Solve for r	5+r-2=9	$5 + r - 2 = 9$
175146	Solve the System of Equations	y=x+5 y=1	$y = x + 5$ $y = 1$
175147	Expand the Logarithmic Expression	log of (xy^5)/( square root of z^5)	$\log (\frac{x y^{5}}{\sqrt{z^{5}}})$
175148	Evaluate	4^(x-1)=16	$4^{x - 1} = 16$
175149	Factor	9x^3-6x^2+12x^5-18x^7	$9 x^{3} - 6 x^{2} + 12 x^{5} - 18 x^{7}$
175150	Find the Roots (Zeros)	f(x)=(x+2)/(x^2-3x+2)	$f (x) = \frac{x + 2}{x^{2} - 3 x + 2}$
175151	Solve for x	1/x-x/3=-1/(3x)	$\frac{1}{x} - \frac{x}{3} = - \frac{1}{3 x}$
175152	Evaluate	square root of -4	$\sqrt[2]{- 4}$
175153	Solve for k	3/5k=1/3(3/2k-3)+2k	$\frac{3}{5} k = \frac{1}{3} (\frac{3}{2} k - 3) + 2 k$
175154	Solve the Inequality for x	-9(4+x)>-126	$- 9 (4 + x) > - 126$
175155	Find f(g(x))	f(x) = square root of x+4 , g(x)=x^2	$f (x) = \sqrt{x + 4}$ , $g (x) = x^{2}$
175156	Find the Discriminant	x^2+5x+9=-3x-3	$x^{2} + 5 x + 9 = - 3 x - 3$
175157	Multiply	-4x^5(11x^3+2x^2+9x+1)	$- 4 x^{5} (11 x^{3} + 2 x^{2} + 9 x + 1)$
175158	Solve for x	f(-x)=x/(x^2+1)	$f (- x) = \frac{x}{x^{2} + 1}$
175159	Solve for x	3-x/2<=18	$3 - \frac{x}{2} \leq 18$
175160	Solve for w	9w^2+25=30w	$9 w^{2} + 25 = 30 w$
175161	Solve for b	a=1/2h(b^1+b^2)	$a = \frac{1}{2} h (b^{1} + b^{2})$
175162	Solve the Inequality for x	3(2x+5)>=2(x+6)	$3 (2 x + 5) \geq 2 (x + 6)$
175163	Evaluate	7(12-(6-2)÷4)	$7 (12 - (6 - 2) \div 4)$
175164	Solve for x	(x+1)^3-(x-1)^3=6x(x-3)	${(x + 1)}^{3} - {(x - 1)}^{3} = 6 x (x - 3)$
175165	Solve the System of Inequalities	-3x+7>-23 or -29>-3x+7	$- 3 x + 7 > - 23$ or $- 29 > - 3 x + 7$
175166	Find g(f(x))	f(x)=3-2x , g(x)=3x^2+2	$f (x) = 3 - 2 x$ , $g (x) = 3 x^{2} + 2$
175167	Solve the System of Inequalities	2>-x+3 and -x+3<=-3	$2 > - x + 3$ and $- x + 3 \leq - 3$
175168	Find the Roots (Zeros)	y=3(x-2)(x+1)(x-4)	$y = 3 (x - 2) (x + 1) (x - 4)$
175169	Simplify	3x(x-12x)+3x^2-2(x-2)^2	$3 x (x - 12 x) + 3 x^{2} - 2 {(x - 2)}^{2}$
175170	Find the Domain and Range	f(x) = square root of x^2-4	$f (x) = \sqrt{x^{2}} - 4$
175171	Solve the Inequality for x	5x-(x+2)>-5(1+x)+3	$5 x - (x + 2) > - 5 (1 + x) + 3$
175172	Simplify	5/(6x)-2/3	$\frac{5}{6 x} - \frac{2}{3}$
175173	Factor	ax-ay+bx-by	$a x - a y + b x - b y$
175174	Find the Holes in the Graph	h(x)=(x+3)/(x(x+9))	$h (x) = \frac{x + 3}{x (x + 9)}$
175175	Evaluate	(2+-3)^3	${(2 + - 3)}^{3}$
175176	Convert to Polar	y = square root of 3x	$y = \sqrt{3} x$
175177	Solve for x	(x+4)/(4x)-(x+4)/4=(x-1)/4	$\frac{x + 4}{4 x} - \frac{x + 4}{4} = \frac{x - 1}{4}$
175178	Find the Degree	arctan(4/3)	$\arctan (\frac{4}{3})$
175179	Find the x and y Intercepts	f(x)=3/(X+4)	$f (x) = \frac{3}{X + 4}$
175180	Factor	f(x)=x^3-5x^2+4x-20	$f (x) = x^{3} - 5 x^{2} + 4 x - 20$
175181	Simplify	6(-3)(4)m^4	$6 (- 3) (4) m^{4}$
175182	Solve the System of Equations	-9y+4x-20=0 -7y+16x-80=0	$- 9 y + 4 x - 20 = 0$ $- 7 y + 16 x - 80 = 0$
175183	Solve for x	a(x-b)=c	$a (x - b) = c$
175184	Evaluate	f(-1)=2^-1	$f (- 1) = 2^{- 1}$
175185	Simplify	1/2ab^3c-3/2ab^3c-ab^3c	$\frac{1}{2} a b^{3} c - \frac{3}{2} a b^{3} c - a b^{3} c$
175186	Solve the Inequality for x	x^3-x^2<9x-9	$x^{3} - x^{2} < 9 x - 9$
175187	Evaluate	8*15/5-(5+9)	$8 \times \frac{15}{5} - (5 + 9)$
175188	Expand the Logarithmic Expression	log of (x^3y^2)/( square root of z^5)	$\log (\frac{x^{3} y^{2}}{\sqrt{z^{5}}})$
175189	Find the Point-Slope Form	y=5x	$y = 5 x$
175190	Simplify	(-4(k^-3v^4)^-1)/(20k^-2v^8)	$\frac{- 4 {(k^{- 3} v^{4})}^{- 1}}{20 k^{- 2} v^{8}}$
175191	Solve for g	7 1/2g=-30	$7 \frac{1}{2} g = - 30$
175192	Solve the System of Inequalities	x-2>3 or x+8<-2	$x - 2 > 3$ or $x + 8 < - 2$
175193	Solve for y	13=-2(y-4)+3y	$13 = - 2 (y - 4) + 3 y$
175194	Convert to Interval Notation	x<-19 or x>21	$x < - 19$ or $x > 21$
175195	Solve the Absolute Value Inequality for x	\|x+6\|=2x	$\| x + 6 \| = 2 x$
175196	Evaluate	1/3(4)^3	$\frac{1}{3} {(4)}^{3}$
175197	Graph	x^2+(y-x^(2/3))^2	$x^{2} + {(y - x^{\frac{2}{3}})}^{2}$
175198	Solve the Inequality for x	x^2(x-2)(x+4)(3x-1)<=0	$x^{2} (x - 2) (x + 4) (3 x - 1) \leq 0$
175199	Solve Using the Quadratic Formula	f(x)=x^2-1	$f (x) = x^{2} - 1$
175200	Simplify	(x+a)^2+5(x+a)+4	${(x + a)}^{2} + 5 (x + a) + 4$