Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182101	Find the Domain and Range	(x) = square root of x-1	$(x) = \sqrt{x - 1}$
182102	Simplify	(2a^3b)^3(-2b^4)	${(2 a^{3} b)}^{3} (- 2 b^{4})$
182103	Solve the Inequality for x	-4(3x-5)<2(3x+4)	$- 4 (3 x - 5) < 2 (3 x + 4)$
182104	Simplify	log of x^3- log of x^2	$\log (x^{3}) - \log (x^{2})$
182105	Solve the Inequality for x	9/(x+4)>=1/(x+4)	$\frac{9}{x + 4} \geq \frac{1}{x + 4}$
182106	Solve for x	4x+(8x-36)/14+(11x+8)/8=46	$4 x + \frac{8 x - 36}{14} + \frac{11 x + 8}{8} = 46$
182107	Solve for x	(2x+4)^2-4=0	${(2 x + 4)}^{2} - 4 = 0$
182108	Find the Exact Value	sin(2)(30 degrees )	$\sin (2) (30 °)$
182109	Graph	f(x)={}	$f (x) = {}$
182110	Find the x and y Intercepts	y=(x+2)^2-7(x+2)+12	$y = {(x + 2)}^{2} - 7 (x + 2) + 12$
182111	Simplify	(1-3ax)(3ax+1)	$(1 - 3 a x) (3 a x + 1)$
182112	Divide	(6/10)÷(3/5)	$\frac{6}{10} \div \frac{3}{5}$
182113	Solve for x	5x-2x+x=15	$5 x - 2 x + x = 15$
182114	Simplify	((x^2-5x+4)/(x^2))÷((x-1)/x)	$\frac{x^{2} - 5 x + 4}{x^{2}} \div \frac{x - 1}{x}$
182115	Solve the System of Inequalities	3x-91>-87 ; OR , 21x-17>25	$3 x - 91 > - 87$ ; OR , $21 x - 17 > 25$
182116	Find the x and y Intercepts	f(x)=-2/3x+4	$f (x) = - \frac{2}{3} x + 4$
182117	Evaluate	(x^3)/x	$\frac{x^{3}}{x}$
182118	Graph	f(x)=3x+11 if x<-5; 6x-38 if x>5	$f (x) = {\begin{cases} 3 x + 11 & x < - 5 \\ 6 x - 38 & x > 5 \end{cases}$
182119	Graph	2-\|x\|	$2 - \| x \|$
182120	Rationalize the Denominator	2/(5+ square root of 3)	$\frac{2}{5 + \sqrt{3}}$
182121	Solve the Inequality for x	12x<22+x	$12 x < 22 + x$
182122	Solve the Inequality for x	(3x+1)/(x+4)<1	$\frac{3 x + 1}{x + 4} < 1$
182123	Expand the Logarithmic Expression	log of ( cube root of yx^3)/z	$\log (\frac{\sqrt[3]{y} x^{3}}{z})$
182124	Simplify	(2/a)^3((4b^3)/(3a))^-4	${(\frac{2}{a})}^{3} {(\frac{4 b^{3}}{3 a})}^{- 4}$
182125	Solve Using the Quadratic Formula	4x+3	$4 x + 3$
182126	Solve Using the Quadratic Formula	36x^4-83x^2+35=0	$36 x^{4} - 83 x^{2} + 35 = 0$
182127	Solve for θ	sin(theta/2)-1=0	$\sin (\frac{θ}{2}) - 1 = 0$
182128	Divide	((x+2)/(x-1))÷(3/(2x))	$\frac{x + 2}{x - 1} \div \frac{3}{2 x}$
182129	Solve for x	x+14=7x+32-3x	$x + 14 = 7 x + 32 - 3 x$
182130	Multiply	(x+y+z)(x-y-z)	$(x + y + z) (x - y - z)$
182131	Simplify	(10x+5z)/(14x^2+5xz-z^2)	$\frac{10 x + 5 z}{14 x^{2} + 5 x z - z^{2}}$
182132	Solve the Absolute Value Inequality for x	\|x-2\|>=5	$\| x - 2 \| \geq 5$
182133	Solve for x	2 fifth root of x+7=15	$2 \sqrt[5]{x} + 7 = 15$
182134	Find the Product	(n^3)^2*(n^5)^4	${(n^{3})}^{2} \cdot {(n^{5})}^{4}$
182135	Evaluate	1+(-1/2)	$1 + (- \frac{1}{2})$
182136	Solve for T	M=T-R	$M = T - R$
182137	Find the Product	6/2(1+2)	$\frac{6}{2} (1 + 2)$
182138	Solve for x	x^4+6x^3-33x^2-46x+72=0	$x^{4} + 6 x^{3} - 33 x^{2} - 46 x + 72 = 0$
182139	Simplify	(-6- square root of 36-20)/(2(1))	$\frac{- 6 - \sqrt{36 - 20}}{2 (1)}$
182140	Simplify	1^2+i^2	$1^{2} + i^{2}$
182141	Write in Standard Form	(-7,-4) and (-2,3)	$(- 7, - 4)$ and $(- 2, 3)$
182142	Solve for x	10^(2x-7)-3=57	$10^{2 x - 7} - 3 = 57$
182143	Graph	y=-2+5sin(pi/12(x-2))	$y = - 2 + 5 \sin (\frac{π}{12} (x - 2))$
182144	Solve the System of Equations	y=x+1 y=2x-5	$y = x + 1$ $y = 2 x - 5$
182145	Solve the System of Equations	y=x^2-4 y=-2x-5	$y = x^{2} - 4$ $y = - 2 x - 5$
182146	Solve for x	(2\|x-3\|)/5=6	$\frac{2 \| x - 3 \|}{5} = 6$
182147	Solve the System of Equations	-4y+11x-67=0 2y+5x-19=0	$- 4 y + 11 x - 67 = 0$ $2 y + 5 x - 19 = 0$
182148	Solve the Absolute Value Inequality for x	\|x\|<=6	$\| x \| \leq 6$
182149	Solve the System of Equations	x-5y=5 -x+5y=-5	$x - 5 y = 5$ $- x + 5 y = - 5$
182150	Multiply	(3x+1)/(x^2-1)*(x+1)/(3x^2+x)	$\frac{3 x + 1}{x^{2} - 1} \cdot \frac{x + 1}{3 x^{2} + x}$
182151	Solve the Inequality for x	3x-2>4-3x	$3 x - 2 > 4 - 3 x$
182152	Write in Standard Form	-8x+3x^2=-18	$- 8 x + 3 x^{2} = - 18$
182153	Solve for Y	X=7/8(Y+Z)	$X = \frac{7}{8} (Y + Z)$
182154	Solve for b₂	a=(b_1+b_2)/2*h	$a = \frac{b_{1} + b_{2}}{2} \cdot h$
182155	Find the Roots (Zeros)	p(x)=(x^2-16)(x^2-9)	$p (x) = (x^{2} - 16) (x^{2} - 9)$
182156	Solve for x	e^x-2=0	$e^{x} - 2 = 0$
182157	Solve for T	T=2pi square root of L/9.8	$T = 2 π \sqrt{\frac{L}{9.8}}$
182158	Simplify	(4+i)/(3-2i)	$\frac{4 + i}{3 - 2 i}$
182159	Write in Slope-Intercept Form	(2,1) and (5,-8)	$(2, 1)$ and $(5, - 8)$
182160	Multiply	4*(-2/3)	$4 \cdot (- \frac{2}{3})$
182161	Describe the Transformation	y=-f(x)-1	$y = - f (x) - 1$
182162	Graph	(-4,-(2pi)/3)	$(- 4, - \frac{2 π}{3})$
182163	Find the Midpoint	(8,4) and (2,7)	$(8, 4)$ and $(2, 7)$
182164	Find the x and y Intercepts	f(x)=-2x(2x^2+2)(2x-3)(5x+2)	$f (x) = - 2 x (2 x^{2} + 2) (2 x - 3) (5 x + 2)$
182165	Simplify	(-7x^2+7x^3)+(-9x^3+9+3x^2)	$(- 7 x^{2} + 7 x^{3}) + (- 9 x^{3} + 9 + 3 x^{2})$
182166	Convert to Radical Form	(5xy)^(-1/3)	${(5 x y)}^{- \frac{1}{3}}$
182167	Simplify	(x/y)/z	$\frac{(\frac{x}{y})}{z}$
182168	Multiply	(4m^5-5m^6)(4m^5+5m^6)	$(4 m^{5} - 5 m^{6}) (4 m^{5} + 5 m^{6})$
182169	Find the Exact Value	fourth root of 25	$\sqrt[4]{25}$
182170	Solve for p	10p+5=(18p-6)/2	$10 p + 5 = \frac{18 p - 6}{2}$
182171	Find the Domain and Range	y=2sin(1/2x)	$y = 2 \sin (\frac{1}{2} x)$
182172	Solve the Inequality for x	(x+5)^2(x+2)>0	${(x + 5)}^{2} (x + 2) > 0$
182173	Graph Using a Table of Values	f(x)=-3x+1	$f (x) = - 3 x + 1$
182174	Solve for x	-4-4(-x-1)=-4(6+2x)	$- 4 - 4 (- x - 1) = - 4 (6 + 2 x)$
182175	Solve for θ	cos(theta)=-3/5	$\cos (θ) = - \frac{3}{5}$
182176	Solve for b	(b+4)/5=7/4	$\frac{b + 4}{5} = \frac{7}{4}$
182177	Simplify	((4-x)/(x^2+5x-6))÷((x^2-11x+28)/(x^2+7x+6))	$\frac{4 - x}{x^{2} + 5 x - 6} \div \frac{x^{2} - 11 x + 28}{x^{2} + 7 x + 6}$
182178	Solve for x	-2(4-2x)+3x=2x+2(5+x)-6	$- 2 (4 - 2 x) + 3 x = 2 x + 2 (5 + x) - 6$
182179	Solve for x	(x+7)^5=32	${(x + 7)}^{5} = 32$
182180	Solve for x	x^2+5x-8=4x+4	$x^{2} + 5 x - 8 = 4 x + 4$
182181	Solve for a	x^(2/3)x^(1/4)=x^a	$x^{\frac{2}{3}} x^{\frac{1}{4}} = x^{a}$
182182	Solve the Inequality for x	1/(x+2)>0	$\frac{1}{x + 2} > 0$
182183	Factor	(x^2+8x-84)/(x-6)	$\frac{x^{2} + 8 x - 84}{x - 6}$
182184	Solve the Inequality for x	-3x<=18	$- 3 x \leq 18$
182185	Simplify	(125/27)^(-2/3)	${(\frac{125}{27})}^{- \frac{2}{3}}$
182186	Solve the Absolute Value Inequality for x	\|3x+5\|=5x+2	$\| 3 x + 5 \| = 5 x + 2$
182187	Evaluate	7/(2(x+6)^2-4(x+6))	$\frac{7}{2 {(x + 6)}^{2} - 4 (x + 6)}$
182188	Simplify	(2y-1)/y+(2x-1)/x	$\frac{2 y - 1}{y} + \frac{2 x - 1}{x}$
182189	Solve for x	5/(2x)=x/10	$\frac{5}{2 x} = \frac{x}{10}$
182190	Expand the Logarithmic Expression	log of (x^3y^4)/( square root of z^5)	$\log (\frac{x^{3} y^{4}}{\sqrt{z^{5}}})$
182191	Multiply	(x+2)(x+2)(x+2)	$(x + 2) (x + 2) (x + 2)$
182192	Solve for a	( square root of x^3)/(x^(1/6))=x^a	$\frac{\sqrt{x^{3}}}{x^{\frac{1}{6}}} = x^{a}$
182193	Factor	5x^4+x^3+3x^2-7	$5 x^{4} + x^{3} + 3 x^{2} - 7$
182194	Write in Standard Form	5+x^2+x=3+5x^2	$5 + x^{2} + x = 3 + 5 x^{2}$
182195	Solve for x	(2x^2+8x)/x=(3x^2-108)/(x-6)	$\frac{2 x^{2} + 8 x}{x} = \frac{3 x^{2} - 108}{x - 6}$
182196	Divide Using Synthetic Division	(-x^4+2x^5-2x-3x^2+1)÷(x-2)	$(- x^{4} + 2 x^{5} - 2 x - 3 x^{2} + 1) \div (x - 2)$
182197	Solve the Inequality for k	8+k<=-3	$8 + k \leq - 3$
182198	Convert to Interval Notation	-2(7+y)>=-8(y+1)	$- 2 (7 + y) \geq - 8 (y + 1)$
182199	Simplify	(-(3a^3)/(b^3))^4	${(- \frac{3 a^{3}}{b^{3}})}^{4}$
182200	Solve for x	y=x/z	$y = \frac{x}{z}$