Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195101	Find the Distance Between Two Points	(2,1) and (9,8)	$(2, 1)$ and $(9, 8)$
195102	Combine Like Terms	3/2x-y+1/2x+3y	$\frac{3}{2} x - y + \frac{1}{2} x + 3 y$
195103	Solve for z	5(z-4)-z=4z-20	$5 (z - 4) - z = 4 z - 20$
195104	Simplify	4*4^-1	$4 \cdot 4^{- 1}$
195105	Multiply	6x^2y^4(5x^2-3x^2y^2+4y^2)	$6 x^{2} y^{4} (5 x^{2} - 3 x^{2} y^{2} + 4 y^{2})$
195106	Multiply	5*(-1 1/5)	$5 \cdot (- 1 \frac{1}{5})$
195107	Simplify	((x^(-1/2)y^-1z^(1/3))(x^(1/3)y^(-1/3)z)(x^2y^-3z^(-1/2)))^6	${((x^{- \frac{1}{2}} y^{- 1} z^{\frac{1}{3}}) (x^{\frac{1}{3}} y^{- \frac{1}{3}} z) (x^{2} y^{- 3} z^{- \frac{1}{2}}))}^{6}$
195108	Solve for x	2/(4x-1)=3/(4x+1)	$\frac{2}{4 x - 1} = \frac{3}{4 x + 1}$
195109	Convert to Radical Form	6^(1/2)+6^(3/2)	$6^{\frac{1}{2}} + 6^{\frac{3}{2}}$
195110	Subtract	3 3/4-1/8	$3 \frac{3}{4} - \frac{1}{8}$
195111	Graph	f(x)=3,x<=-3; 2x+1,-3<x<4; -2,x>=4	$f (x) = {\begin{cases} 3, x \leq - 3 \\ 2 x + 1, - 3 < x < 4 \\ - 2, x \geq 4 \end{cases}$
195112	Find the LCM	3 and 9	$3$ and $9$
195113	Solve the Inequality for x	((x+6)(x-1))/(x-9)<=0	$\frac{(x + 6) (x - 1)}{x - 9} \leq 0$
195114	Solve for x	(x+2)/(x-7)+1/(x+3)=3/(x-7)	$\frac{x + 2}{x - 7} + \frac{1}{x + 3} = \frac{3}{x - 7}$
195115	Factor	4-8mn+13	$4 - 8 m n + 13$
195116	Evaluate	e*e	$e \cdot e$
195117	Solve for c	(2c)/11=(c-3)/4	$\frac{2 c}{11} = \frac{c - 3}{4}$
195118	Solve for x	x^-2=1/9	$x^{- 2} = \frac{1}{9}$
195119	Solve for f	10f+2>=6f+7	$10 f + 2 \geq 6 f + 7$
195120	Find the Roots (Zeros)	g(x)=5x-12x^2+3	$g (x) = 5 x - 12 x^{2} + 3$
195121	Solve for k	28=-1/2k	$28 = - \frac{1}{2} k$
195122	Multiply	x^2*x^-12	$x^{2} \cdot x^{- 12}$
195123	Find the LCD	2/(x+9) and 6/(x-9)	$\frac{2}{x + 9}$ and $\frac{6}{x - 9}$
195124	Solve for a	-3(-2a-4)+25=-3(5a+9)+1	$- 3 (- 2 a - 4) + 25 = - 3 (5 a + 9) + 1$
195125	Simplify	(a+b+c)(a+b-c)	$(a + b + c) (a + b - c)$
195126	Simplify	(x+1/y)/(y+1/x)	$\frac{x + \frac{1}{y}}{y + \frac{1}{x}}$
195127	Simplify	(9ab)/13*26/(4a^2b)	$\frac{9 a b}{13} \cdot \frac{26}{4 a^{2} b}$
195128	Find the Exact Value	sin((5pi)/12)cos(pi/4)+cos((5pi)/12)sin(pi/4)	$\sin (\frac{5 π}{12}) \cos (\frac{π}{4}) + \cos (\frac{5 π}{12}) \sin (\frac{π}{4})$
195129	Solve the Inequality for x	\|19+x\|<2	$\| 19 + x \| < 2$
195130	Write as a Single Logarithm	3 log base b of 2	$3 \log_{b} (2)$
195131	Solve the Inequality for x	x-7>-6-8(x-2/5)	$x - 7 > - 6 - 8 (x - \frac{2}{5})$
195132	Simplify the Radical Expression	(27x)^(1/3)	${(27 x)}^{\frac{1}{3}}$
195133	Solve for x	log base 1/2 of 16=x	$\log_{\frac{1}{2}} (16) = x$
195134	Solve for x	(x-2)^2-3=1	${(x - 2)}^{2} - 3 = 1$
195135	Graph	R(x)=(x^2)/(x^2+x-2)	$R (x) = \frac{x^{2}}{x^{2} + x - 2}$
195136	Find the Exact Value	cos(2)(pi/4)	$\cos (2) (\frac{π}{4})$
195137	Solve for x	4-x/7<=5	$4 - \frac{x}{7} \leq 5$
195138	Graph	\|x\|+5>=11	$\| x \| + 5 \geq 11$
195139	Graph	x+y>-2 3x-y>=-2	$x + y > - 2$ $3 x - y \geq - 2$
195140	Evaluate	(1/4)^-2-(5^02)1^-1	${(\frac{1}{4})}^{- 2} - (5^{0} \cdot 2) \cdot 1^{- 1}$
195141	Simplify	(18x^3y^2+9x^2y^3-12x^3y^3+6xy^2)/(3xy)	$\frac{18 x^{3} y^{2} + 9 x^{2} y^{3} - 12 x^{3} y^{3} + 6 x y^{2}}{3 x y}$
195142	Evaluate the Function	h(x)=17+8x of x=4d	$h (x) = 17 + 8 x$ of $x = 4 d$
195143	Solve for θ	7=8.98theta	$7 = 8.98 θ$
195144	Solve for a	((x^(1/2))^3)/( fourth root of x)=x^a	$\frac{{(x^{\frac{1}{2}})}^{3}}{\sqrt[4]{x}} = x^{a}$
195145	Find the Inverse	f(x)=3(x-7)+5	$f (x) = 3 (x - 7) + 5$
195146	Solve for h	S=2pir(h+r)	$S = 2 π r (h + r)$
195147	Write as a Single Logarithm	2 log base b of 3	$2 \log_{b} (3)$
195148	Solve for y	11y+4(y-5)=5(y+4(y-2))	$11 y + 4 (y - 5) = 5 (y + 4 (y - 2))$
195149	Multiply	(9x-13x^3+12-15x^2)*(-2x^3)	$(9 x - 13 x^{3} + 12 - 15 x^{2}) \cdot (- 2 x^{3})$
195150	Solve for x	x = square root of 25	$x = \sqrt{25}$
195151	Find the x and y Intercepts	8x-3y=6-4x	$8 x - 3 y = 6 - 4 x$
195152	Find All Complex Solutions	log base 12 of x+ log base 12 of 11x-1=1	$\log_{12} (x) + \log_{12} (11 x - 1) = 1$
195153	Solve the Absolute Value Inequality for n	5^(4n)>33	$5^{4 n} > 33$
195154	Simplify	x^2y+2x+x^2y-x^2-8x	$x^{2} y + 2 x + x^{2} y - x^{2} - 8 x$
195155	Solve for j	2/3(6j+9)=3j+7	$\frac{2}{3} (6 j + 9) = 3 j + 7$
195156	Simplify	((3(6))/(17-5))^4	${(\frac{3 (6)}{17 - 5})}^{4}$
195157	Evaluate	(( square root of 2)/2)^2+(( square root of 2)/2)^2	${(\frac{\sqrt{2}}{2})}^{2} + {(\frac{\sqrt{2}}{2})}^{2}$
195158	Evaluate	(-8)^2(3/4)-10	${(- 8)}^{2} (\frac{3}{4}) - 10$
195159	Find g(f(x))	f(x)=x-2 , g(x)=x+2	$f (x) = x - 2$ , $g (x) = x + 2$
195160	Evaluate	(8^2*(2+6))÷4	$8^{2} \cdot (2 + 6) \div 4$
195161	Simplify	(1+x^2)^3	${(1 + x^{2})}^{3}$
195162	Solve for x	4+2x=y	$4 + 2 x = y$
195163	Solve for q	4q+5>=6q-7	$4 q + 5 \geq 6 q - 7$
195164	Solve the Inequality for x	x^2+4x+4<=0	$x^{2} + 4 x + 4 \leq 0$
195165	Solve the System of Equations	-3y=x-5 x+5y=7	$- 3 y = x - 5$ $x + 5 y = 7$
195166	Solve for x	1/2(x+18)=4(2x-6)-9x	$\frac{1}{2} (x + 18) = 4 (2 x - 6) - 9 x$
195167	Solve for θ	tan(theta/2+pi/3)=1	$\tan (\frac{θ}{2} + \frac{π}{3}) = 1$
195168	Write in Standard Form	-x^2-2x+1=x^2-3x	$- x^{2} - 2 x + 1 = x^{2} - 3 x$
195169	Simplify	((4a+4)/(3a-12)*(a^2-6a+8)/(a^2+3a-4))÷((4a-12)/(3a+12))	$\frac{4 a + 4}{3 a - 12} \cdot \frac{a^{2} - 6 a + 8}{a^{2} + 3 a - 4} \div \frac{4 a - 12}{3 a + 12}$
195170	Solve for x	tan(x)^2-sec(x)=1	$\tan^{2} (x) - \sec (x) = 1$
195171	Evaluate	9-6(8+7(5+3(6-5*2)))	$9 - 6 (8 + 7 (5 + 3 (6 - 5 \cdot 2)))$
195172	Solve for x	8+3x=x+11+2x	$8 + 3 x = x + 11 + 2 x$
195173	Graph	y>-3x+3 y>=2x-2	$y > - 3 x + 3$ $y \geq 2 x - 2$
195174	Factor	6x^3+12x^2y-x-2y	$6 x^{3} + 12 x^{2} y - x - 2 y$
195175	Subtract	(3x)/(x^2-4)-9/(x+2)	$\frac{3 x}{x^{2} - 4} - \frac{9}{x + 2}$
195176	Solve for x	-x^2+4>0	$- x^{2} + 4 > 0$
195177	Solve the System of Equations	y=4-x^2 x-y=2	$y = 4 - x^{2}$ $x - y = 2$
195178	Solve for x	\|x/2-5\|+2>10	$\| \frac{x}{2} - 5 \| + 2 > 10$
195179	Simplify	(2^73^-4)(2^-53^4)	$(2^{7} \cdot 3^{- 4}) (2^{- 5} \cdot 3^{4})$
195180	Find the Roots (Zeros)	y=4-x^2	$y = 4 - x^{2}$
195181	Factor	a^8+36b^2c^2+12a^4bc	$a^{8} + 36 b^{2} c^{2} + 12 a^{4} b c$
195182	Find the Axis of Symmetry	f(x)=x^4-9x^2	$f (x) = x^{4} - 9 x^{2}$
195183	Find All Complex Solutions	sin(x)^2-3/4=0	$\sin^{2} (x) - \frac{3}{4} = 0$
195184	Find the Holes in the Graph	g(x)=(x+10)/(x^3+5x^2-50x)	$g (x) = \frac{x + 10}{x^{3} + 5 x^{2} - 50 x}$
195185	Graph	x+2y<=4 3x-y<=2	$x + 2 y \leq 4$ $3 x - y \leq 2$
195186	Factor	2(x-3y)^2+4x(x-3y)	$2 {(x - 3 y)}^{2} + 4 x (x - 3 y)$
195187	Find the x and y Intercepts	f(x)=5x^5+8-3x^6-6x^3	$f (x) = 5 x^{5} + 8 - 3 x^{6} - 6 x^{3}$
195188	Evaluate	natural log of e^5- natural log of e^16	$\ln (e^{5}) - \ln (e^{16})$
195189	Solve the Inequality for x	-x^2+1>=1	$- x^{2} + 1 \geq 1$
195190	Graph	y<-x y<=x-2	$y < - x$ $y \leq x - 2$
195191	Solve for x	-1+(x+3)/8=(3x+7)/40	$- 1 + \frac{x + 3}{8} = \frac{3 x + 7}{40}$
195192	Solve for x	e^(2x-1)=3x+2	$e^{2 x - 1} = 3 x + 2$
195193	Find the x and y Intercepts	f(x)=(x^2+25)	$f (x) = (x^{2} + 25)$
195194	Simplify	(5x^3-2x^2)/(x^5)	$\frac{5 x^{3} - 2 x^{2}}{x^{5}}$
195195	Find the End Behavior	f(x)=3x^5+54x^3-729x-729-162x^2+27x^4	$f (x) = 3 x^{5} + 54 x^{3} - 729 x - 729 - 162 x^{2} + 27 x^{4}$
195196	Evaluate	1+ square root of 1	$1 + \sqrt{1}$
195197	Find the Inverse	y=ax+b	$y = a x + b$
195198	Simplify	7x+2 from -5x^2-2x	$7 x + 2$ from $- 5 x^{2} - 2 x$
195199	Factor	x^4-3x^2+2=0	$x^{4} - 3 x^{2} + 2 = 0$
195200	Simplify	(4x+12)+(2x^2-6x+5)	$(4 x + 12) + (2 x^{2} - 6 x + 5)$