Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180501	Simplify	(-2x^6)^4*(1/4x)^2	${(- 2 x^{6})}^{4} \cdot {(\frac{1}{4} x)}^{2}$
180502	Solve for x	-4-1/x=-5x	$- 4 - \frac{1}{x} = - 5 x$
180503	Evaluate	(x^2+y^2)^2	${(x^{2} + y^{2})}^{2}$
180504	Solve the Inequality for d	-12d>=-6	$- 12 d \geq - 6$
180505	Evaluate Using the Given Value	-m^2n+m^2 when m=-4	$- m^{2} n + m^{2}$ when $m = - 4$
180506	Factor	(m^2-9)/(m+3)	$\frac{m^{2} - 9}{m + 3}$
180507	Find the x and y Intercepts	f(x)=-x(x-1)(x+1)^2	$f (x) = - x (x - 1) {(x + 1)}^{2}$
180508	Solve for x	e^x=x+2	$e^{x} = x + 2$
180509	Graph Using a Table of Values	f(x) = cube root of x+5	$f (x) = \sqrt[3]{x} + 5$
180510	Find the Exact Value	square root of 0	$\sqrt{0}$
180511	Find the Sum and Product of the Roots of the Quadratic Equation	10x^2-2x+2=3x-4	$10 x^{2} - 2 x + 2 = 3 x - 4$
180512	Factor	y=x^2-x-12	$y = x^{2} - x - 12$
180513	Factor	1+243x^5	$1 + 243 x^{5}$
180514	Solve for y	\|y-2\|<10	$\| y - 2 \| < 10$
180515	Graph	(1/2)^(-x)	${(\frac{1}{2})}^{- x}$
180516	Find the x and y Intercepts	3y=-5^x+7	$3 y = - 5^{x} + 7$
180517	Solve the Absolute Value Inequality for x	\|2x\|=3	$\| 2 x \| = 3$
180518	Solve for x	6(x+5)+2=8(2x-5)+22	$6 (x + 5) + 2 = 8 (2 x - 5) + 22$
180519	Solve for t	h(t)=20-16t^2+32t	$h (t) = 20 - 16 t^{2} + 32 t$
180520	Simplify	9-3x-(-8y)+9x-y	$9 - 3 x - (- 8 y) + 9 x - y$
180521	Solve for z	x=3/4(y+z)	$x = \frac{3}{4} (y + z)$
180522	Simplify	(3a^2b^3c^-2)/((a^-1b^2c)^3)	$\frac{3 a^{2} b^{3} c^{- 2}}{{(a^{- 1} b^{2} c)}^{3}}$
180523	Solve for f	26=6(5-4f)	$26 = 6 (5 - 4 f)$
180524	Find the Slope and y-intercept	m=-3	$m = - 3$
180525	Find the x and y Intercepts	(-x+5)(x-1)=y	$(- x + 5) (x - 1) = y$
180526	Simplify	((ab^2)^3)/(b^5)	$\frac{{(a b^{2})}^{3}}{b^{5}}$
180527	Find the Inverse	f(x)=7(x^(1/5)-10)	$f (x) = 7 (x^{\frac{1}{5}} - 10)$
180528	Solve the Inequality for x	4x+7(3x-3)<=9-5x	$4 x + 7 (3 x - 3) \leq 9 - 5 x$
180529	Multiply	4b^2(b^3-8)	$4 b^{2} (b^{3} - 8)$
180530	Solve for x	x/(x+1)-4/x=-(2x)/(x+1)	$\frac{x}{x + 1} - \frac{4}{x} = - \frac{2 x}{x + 1}$
180531	Solve for x	9x=3(-4+5x)	$9 x = 3 (- 4 + 5 x)$
180532	Simplify	(6x^3-294x)/(3x^4+39x^3+126x^2)*(x^2-36)/(x-7)	$\frac{6 x^{3} - 294 x}{3 x^{4} + 39 x^{3} + 126 x^{2}} \cdot \frac{x^{2} - 36}{x - 7}$
180533	Solve the System of Equations	y=6x y=x	$y = 6 x$ $y = x$
180534	Factor	f(x)=x^3+x^2-x-1	$f (x) = x^{3} + x^{2} - x - 1$
180535	Simplify	(3x-8)/(4x)+(-x+8)/(4x)	$\frac{3 x - 8}{4 x} + \frac{- x + 8}{4 x}$
180536	Solve for x	(5\|2x-4\|)/4=10	$\frac{5 \| 2 x - 4 \|}{4} = 10$
180537	Find the Roots (Zeros)	3x^2+15x-21=0	$3 x^{2} + 15 x - 21 = 0$
180538	Graph	y<=-x-6 y>2x-3	$y \leq - x - 6$ $y > 2 x - 3$
180539	Solve for y	6(y+1)-9=4(y-1)+2y	$6 (y + 1) - 9 = 4 (y - 1) + 2 y$
180540	Find the Slope and y-intercept	m=1/2	$m = \frac{1}{2}$
180541	Convert to a Decimal	195deg	$195$ degrees
180542	Solve for s	Q=R+Rst for s	$Q = R + R s t$ for $s$
180543	Simplify	square root of x^-2	$\sqrt{x^{- 2}}$
180544	Solve for x	2/3x-1/2=x+3/4	$\frac{2}{3} x - \frac{1}{2} = x + \frac{3}{4}$
180545	Solve for y	y-4=3x+5y	$y - 4 = 3 x + 5 y$
180546	Solve for x	1/4x=3(-1/4x+3)	$\frac{1}{4} x = 3 (- \frac{1}{4} x + 3)$
180547	Evaluate	28-( square root of 144)^2	$28 - {(\sqrt{144})}^{2}$
180548	Graph Using a Table of Values	y=\|x+3\|	$y = \| x + 3 \|$
180549	Solve the Absolute Value Inequality for x	\|2x-7\|=9	$\| 2 x - 7 \| = 9$
180550	Solve Using the Quadratic Formula	4x-3	$4 x - 3$
180551	Solve for x	(x^2-16)=0	$(x^{2} - 16) = 0$
180552	Find the Holes in the Graph	(x^2+2x+1)/(x+1)	$\frac{x^{2} + 2 x + 1}{x + 1}$
180553	Solve for x	8x+4-2(1-x)=6+10x-8	$8 x + 4 - 2 (1 - x) = 6 + 10 x - 8$
180554	Find the Holes in the Graph	f(x)=(x^2-5x-6)/(x-2)	$f (x) = \frac{x^{2} - 5 x - 6}{x - 2}$
180555	Solve the Rational Equation for x	1/x+1/(x+5)=1/10	$\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{10}$
180556	Find the Axis of Symmetry	f(x)=x^3+4x^2-x-4	$f (x) = x^{3} + 4 x^{2} - x - 4$
180557	Solve for x	square root of 5x-9=-4	$\sqrt{5 x - 9} = - 4$
180558	Simplify	5 log of x+ log of 20- log of 10	$5 \log (x) + \log (20) - \log (10)$
180559	Graph	y=0.5x^3+3x^2-8	$y = 0.5 x^{3} + 3 x^{2} - 8$
180560	Solve for d	1/8(3d-2)=1/4(d+5)	$\frac{1}{8} (3 d - 2) = \frac{1}{4} (d + 5)$
180561	Evaluate	(4!8!)/(6!7!)	$\frac{4! 8!}{6! 7!}$
180562	Find the Exact Value	(5/6)^2	${(\frac{5}{6})}^{2}$
180563	Factor	(4x^2-12x+9)	$(4 x^{2} - 12 x + 9)$
180564	Simplify	5xy square root of 28x+ square root of 63x^3y^2	$5 x y \sqrt{28 x} + \sqrt{63 x^{3} y^{2}}$
180565	Graph	16+y^2=x^2	$16 + y^{2} = x^{2}$
180566	Simplify	10q(16x+11)	$10 q (16 x + 11)$
180567	Solve Using the Quadratic Formula	x^2+4=8x+5	$x^{2} + 4 = 8 x + 5$
180568	Solve for x	3tan(x)+ square root of 3=0	$3 \tan (x) + \sqrt{3} = 0$
180569	Solve for x	145=9430(0.895)^(x-1)+25	$145 = 9430 {(0.895)}^{x - 1} + 25$
180570	Find the Domain and Range	f(x)=(1/2)*6^x	$f (x) = (\frac{1}{2}) \cdot 6^{x}$
180571	Simplify	12*(-3i-4)	$12 \cdot (- 3 i - 4)$
180572	Graph	((-)/oo,-2) union (-2,infinity)	$(\frac{-}{o} o, - 2) \cup (- 2, \infty)$
180573	Evaluate the Difference Quotient	f(x)=x^2-x+1 , (f(2+h)-f(2))/h , h!=0	$f (x) = x^{2} - x + 1$ , $\frac{f (2 + h) - f (2)}{h}$ , $h \neq 0$
180574	Solve the Inequality for x	-90>=18x	$- 90 \geq 18 x$
180575	Solve the Inequality for x	2(8x-4)-2x<=14x+12	$2 (8 x - 4) - 2 x \leq 14 x + 12$
180576	Factor	x^5+x^2-x-1	$x^{5} + x^{2} - x - 1$
180577	Find the Holes in the Graph	(3x+11)/(4x-15)	$\frac{3 x + 11}{4 x - 15}$
180578	Solve the Inequality for x	(3+x)/(3-x)>=1	$\frac{3 + x}{3 - x} \geq 1$
180579	Find f(g(x))	f(x)=(x-7)/2 g(x)=2x+7	$f (x) = \frac{x - 7}{2}$ $g (x) = 2 x + 7$
180580	Rationalize the Denominator	20/(5 square root of 7-2 square root of 5)	$\frac{20}{5 \sqrt{7} - 2 \sqrt{5}}$
180581	Simplify	cube root of 2* square root of 3	$\sqrt[3]{2} \cdot \sqrt{3}$
180582	Evaluate	(d^2)/(dx^2)(sin(x)+cos(x))	$\frac{d^{2}}{d x^{2}} (\sin (x) + \cos (x))$
180583	Find the Product	(2x-3)(2x-3)	$(2 x - 3) (2 x - 3)$
180584	Simplify	2 square root of 3x^2y	$2 \sqrt{3 x^{2} y}$
180585	Graph	y=1/2(x-1)^2	$y = \frac{1}{2} {(x - 1)}^{2}$
180586	Solve the Absolute Value Inequality for x	\|x+9\|<=7	$\| x + 9 \| \leq 7$
180587	Divide	((x^2+5x+6)/(x^2-7x+6))÷((x+2)/(x-6))	$\frac{x^{2} + 5 x + 6}{x^{2} - 7 x + 6} \div \frac{x + 2}{x - 6}$
180588	Solve the System of Equations	4x+2y=7 y=5x	$4 x + 2 y = 7$ $y = 5 x$
180589	Find the Midpoint	(-7,-5) and (-4,2)	$(- 7, - 5)$ and $(- 4, 2)$
180590	Find the Inverse	f(x)=5x^(1/5)+3	$f (x) = 5 x^{\frac{1}{5}} + 3$
180591	Find the End Behavior	y=x	$y = x$
180592	Solve for x	5x-2(7x+1)=14x	$5 x - 2 (7 x + 1) = 14 x$
180593	Solve for x	2(x+14)+x=70	$2 (x + 14) + x = 70$
180594	Solve the System of Equations	2x+y=7 5x+y=9	$2 x + y = 7$ $5 x + y = 9$
180595	Solve the Inequality for p	4p+3>=2(2p+1)	$4 p + 3 \geq 2 (2 p + 1)$
180596	Solve for x	1/6-4/(x^2)=(x+6)/(6x^2)	$\frac{1}{6} - \frac{4}{x^{2}} = \frac{x + 6}{6 x^{2}}$
180597	Solve for x	-8+(4x)/(x+1)=-6x	$- 8 + \frac{4 x}{x + 1} = - 6 x$
180598	Evaluate	log base 4 of x+ log base 4 of 3x-1=1	$\log_{4} (x) + \log_{4} (3 x - 1) = 1$
180599	Write in Standard Form	4x^2-6x^6+2x^3+12-5x^3+4x^4	$4 x^{2} - 6 x^{6} + 2 x^{3} + 12 - 5 x^{3} + 4 x^{4}$
180600	Find the Exact Value	1/2+3/2	$\frac{1}{2} + \frac{3}{2}$