Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186101	Evaluate	15cos(60)	$15 \cos (60)$
186102	Find the Function	f(x)=(x+1)/(x-1)	$f (x) = \frac{x + 1}{x - 1}$
186103	Find All Complex Solutions	square root of x+2=x	$\sqrt{x + 2} = x$
186104	Simplify	(-4b^3+b-1)+(6b-6)	$(- 4 b^{3} + b - 1) + (6 b - 6)$
186105	Find the Exact Value	arccot(1/( square root of 3))	$arccot (\frac{1}{\sqrt{3}})$
186106	Simplify	((x^2-x-20)/(2x+10))÷((x^2-16)/(x^2+x-20))	$\frac{x^{2} - x - 20}{2 x + 10} \div \frac{x^{2} - 16}{x^{2} + x - 20}$
186107	Factor by Grouping	3ax+ab-6x-2b	$3 a x + a b - 6 x - 2 b$
186108	Simplify	(x^2-x-12)/(x^2-16)*(x^2+2x-8)	$\frac{x^{2} - x - 12}{x^{2} - 16} \cdot (x^{2} + 2 x - 8)$
186109	Graph	-7+7x>=0	$- 7 + 7 x \geq 0$
186110	Expand the Logarithmic Expression	log base 2 of ((2^3)/13)^4	$\log_{2} ({(\frac{2^{3}}{13})}^{4})$
186111	Multiply	2/3*(-3/2)	$\frac{2}{3} \cdot (- \frac{3}{2})$
186112	Simplify	( square root of 2( square root of 3-1))/4	$\frac{\sqrt{2} (\sqrt{3} - 1)}{4}$
186113	Solve for x	3-1/x=-4x	$3 - \frac{1}{x} = - 4 x$
186114	Write the Fraction in Simplest Form	11/8*2/5	$\frac{11}{8} \cdot \frac{2}{5}$
186115	Simplify	(5x^4-55x^3+120x^2)/(x^3-4x^2-32x)*(x^2-16)/(10x^2-70x+120)	$\frac{5 x^{4} - 55 x^{3} + 120 x^{2}}{x^{3} - 4 x^{2} - 32 x} \cdot \frac{x^{2} - 16}{10 x^{2} - 70 x + 120}$
186116	Simplify	((x^2+9x-22)/(x^2-121))÷(2-x)	$\frac{x^{2} + 9 x - 22}{x^{2} - 121} \div (2 - x)$
186117	Solve for k	7/(k-2)=5/8	$\frac{7}{k - 2} = \frac{5}{8}$
186118	Graph	y=x^(2+1)	$y = x^{2 + 1}$
186119	Graph Using a Table of Values	f(x)=3/x	$f (x) = \frac{3}{x}$
186120	Solve for t	100=5*10^(0.3t)	$100 = 5 \cdot 10^{0.3 t}$
186121	Combine Like Terms	(x+5)(x-5)	$(x + 5) (x - 5)$
186122	Graph	(x^3+1)/(x^2+2)	$\frac{x^{3} + 1}{x^{2} + 2}$
186123	Graph	x , y	$x$ , $y$
186124	Solve for x	4x^2=4x-1	$4 x^{2} = 4 x - 1$
186125	Find the Product	-3y^2(-5y^3+y-6)	$- 3 y^{2} (- 5 y^{3} + y - 6)$
186126	Solve for w	w/6+5/8=-1 3/8	$\frac{w}{6} + \frac{5}{8} = - 1 \frac{3}{8}$
186127	Simplify	(-7+3i)^2+(-2+8i)	${(- 7 + 3 i)}^{2} + (- 2 + 8 i)$
186128	Graph	x^2-8y+2x-23=0	$x^{2} - 8 y + 2 x - 23 = 0$
186129	Solve the Inequality for x	(1/6)^(2x-10)<=(1/36)^(3x+13)	${(\frac{1}{6})}^{2 x - 10} \leq {(\frac{1}{36})}^{3 x + 13}$
186130	Solve for c	-12(c+22)=-13c+3	$- 12 (c + 22) = - 13 c + 3$
186131	Simplify	(7/6a^7b^2)(5a^4b^6)	$(\frac{7}{6} a^{7} b^{2}) (5 a^{4} b^{6})$
186132	Graph	y<=3x^2-6x+1	$y \leq 3 x^{2} - 6 x + 1$
186133	Graph	g(x)=f(-x)+2	$g (x) = f (- x) + 2$
186134	Solve the System of Inequalities	-4x+60<72 ; OR , 14x+11<-31	$- 4 x + 60 < 72$ ; OR , $14 x + 11 < - 31$
186135	Solve the Inequality for x	1/(x+1)>0	$\frac{1}{x + 1} > 0$
186136	Solve for x	3(x^(1/4))^(1/3)+2=8	$3 {(x^{\frac{1}{4}})}^{\frac{1}{3}} + 2 = 8$
186137	Solve for x	121=x^2	$121 = x^{2}$
186138	Divide	(12a^7-8a^5+a^4)/(4a^3)	$\frac{12 a^{7} - 8 a^{5} + a^{4}}{4 a^{3}}$
186139	Find the x and y Intercepts	f(x)=(5x+5)	$f (x) = (5 x + 5)$
186140	Graph	tan(theta)>0 , sec(theta)>0	$\tan (θ) > 0$ , $\sec (θ) > 0$
186141	Find the Roots (Zeros)	q(x)=(x+8)/(x^2-10x+9)	$q (x) = \frac{x + 8}{x^{2} - 10 x + 9}$
186142	Evaluate	(9+4m)^2	${(9 + 4 m)}^{2}$
186143	Find All Complex Solutions	(tan(theta)+1)(sec(theta)-1)=0	$(\tan (θ) + 1) (\sec (θ) - 1) = 0$
186144	Solve for p	log base 3 of p+4+ log base 3 of p-2=3	$\log_{3} (p + 4) + \log_{3} (p - 2) = 3$
186145	Find the Roots (Zeros)	6x^2-7x+2=7	$6 x^{2} - 7 x + 2 = 7$
186146	Factor	(a-b)(x^2-5)-(a-b)(3x+5)	$(a - b) (x^{2} - 5) - (a - b) (3 x + 5)$
186147	Find the Roots (Zeros)	x^3+2x^2+x	$x^{3} + 2 x^{2} + x$
186148	Write in Slope-Intercept Form	(3,4) and (-2,9)	$(3, 4)$ and $(- 2, 9)$
186149	Find f(g(x))	f(x)=x+2 , g(x)=x-2	$f (x) = x + 2$ , $g (x) = x - 2$
186150	Convert to Meters	4cm	$4 cm$
186151	Evaluate	square root of 25-9(2)^3	$\sqrt{25} - 9 {(2)}^{3}$
186152	Find the Exact Value	2/3+1/6	$\frac{2}{3} + \frac{1}{6}$
186153	Evaluate	-1!	$- 1!$
186154	Write in Standard Form	8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3	$8 m n^{5} - 2 m^{6} + 5 m^{2} n^{4} - m^{3} n^{3} + n^{6} - 4 m^{6} + 9 m^{2} n^{4} - m n^{5} - 4 m^{3} n^{3}$
186155	Solve for x	4^(x+3) = square root of 8^(x+5)	$4^{x + 3} = \sqrt{8^{x + 5}}$
186156	Solve for x	10x-4+x-14=180	$10 x - 4 + x - 14 = 180$
186157	Divide	(2- square root of 8)/(4+ square root of 12)	$\frac{2 - \sqrt{8}}{4 + \sqrt{12}}$
186158	Solve the Inequality for x	5(x+2)>=3x-4	$5 (x + 2) \geq 3 x - 4$
186159	Solve for x	x/a=b/c-1	$\frac{x}{a} = \frac{b}{c} - 1$
186160	Simplify	(1-1/(x^2))/((x+6)/5+1/x)	$\frac{1 - \frac{1}{x^{2}}}{\frac{x + 6}{5} + \frac{1}{x}}$
186161	Graph	f(x)=x if x!=0; 1 if x=0	$f (x) = {\begin{cases} x & x \neq 0 \\ 1 & x = 0 \end{cases}$
186162	Graph	r^2=25sin(2theta)	$r^{2} = 25 \sin (2 θ)$
186163	Evaluate	1-4*-8	$1 - 4 \times - 8$
186164	Solve by Completing the Square	1/4x^2+x+1/4=0	$\frac{1}{4} x^{2} + x + \frac{1}{4} = 0$
186165	Solve for r	16^(r-2)=64^(r+2)	$16^{r - 2} = 64^{r + 2}$
186166	Solve for x	(2x)/(x-3)=(3x)/(x-2)	$\frac{2 x}{x - 3} = \frac{3 x}{x - 2}$
186167	Solve for z	2z-z-z+5z-z=28	$2 z - z - z + 5 z - z = 28$
186168	Simplify	(5x-10)/(x^2-4x+4)*(x^2+2x-8)/(6x+24)	$\frac{5 x - 10}{x^{2} - 4 x + 4} \cdot \frac{x^{2} + 2 x - 8}{6 x + 24}$
186169	Factor	(x-y)^2-a(y-x)	${(x - y)}^{2} - a (y - x)$
186170	Graph	f(x)=-3x-6 if x<=-4; -3 if x>-1	$f (x) = {\begin{cases} - 3 x - 6 & x \leq - 4 \\ - 3 & x > - 1 \end{cases}$
186171	Solve for C	77=9/5C+32	$77 = \frac{9}{5} C + 32$
186172	Graph	y=-5/2x-7 y=1/2x-1	$y = - \frac{5}{2} x - 7$ $y = \frac{1}{2} x - 1$
186173	Convert to Base 10	1011_(2)	$1011_{2}$
186174	Divide	(6x^3y^2)/(2y)	$\frac{6 x^{3} y^{2}}{2 y}$
186175	Solve by Factoring	x^2=-16	$x^{2} = - 16$
186176	Find the Holes in the Graph	(5x^2)/(2x^2+3x)	$\frac{5 x^{2}}{2 x^{2} + 3 x}$
186177	Factor	(x^3+8)/(x+2)	$\frac{x^{3} + 8}{x + 2}$
186178	Simplify	( square root of -75)^3	${(\sqrt{- 75})}^{3}$
186179	Solve the Inequality for x	3(x-1)<-3(2-2x)	$3 (x - 1) < - 3 (2 - 2 x)$
186180	Find f(g(x))	f(x)=x^2+4x-14 g(x)=-x+4	$f (x) = x^{2} + 4 x - 14$ $g (x) = - x + 4$
186181	Evaluate the Function	f(x) = square root of x at x=4	$f (x) = \sqrt{x}$ at $x = 4$
186182	Solve by Addition/Elimination	-16+20x-8y=0 36=-18y-22x	$- 16 + 20 x - 8 y = 0$ $36 = - 18 y - 22 x$
186183	Find the Function	f(x)=7^x	$f (x) = 7^{x}$
186184	Subtract	(x^2+8x)/(3x^2+3x)-(x^2+2x-6)/(3x^2+3x)	$\frac{x^{2} + 8 x}{3 x^{2} + 3 x} - \frac{x^{2} + 2 x - 6}{3 x^{2} + 3 x}$
186185	Find the Function	f(x)=3x^2-3x	$f (x) = 3 x^{2} - 3 x$
186186	Graph Using a Table of Values	f(x)=\|x-4\|	$f (x) = \| x - 4 \|$
186187	Solve for m	-15+6\|2m-1\|<3	$- 15 + 6 \| 2 m - 1 \| < 3$
186188	Simplify	10*(a-2.5+0.5b)	$10 \times (a - 2.5 + 0.5 b)$
186189	Solve for y	(x+yi)+(4+6i)=7-2i	$(x + y i) + (4 + 6 i) = 7 - 2 i$
186190	Find the x and y Intercepts	f(x)=2(3x+4)(x^2+2)	$f (x) = 2 (3 x + 4) (x^{2} + 2)$
186191	Find f(g(x))	f(x)=x+2 , g(x)=3x^2-5x-2	$f (x) = x + 2$ , $g (x) = 3 x^{2} - 5 x - 2$
186192	Graph	y=1/2\|x\|+3	$y = \frac{1}{2} \| x \| + 3$
186193	Find the Domain and Range	x=y^2-1	$x = y^{2} - 1$
186194	Solve for x	1=3x^2+2x	$1 = 3 x^{2} + 2 x$
186195	Write in Standard Form	4x+5x^2=8x-7	$4 x + 5 x^{2} = 8 x - 7$
186196	Solve for x	square root of x+1=0	$\sqrt{x} + 1 = 0$
186197	Graph	(-2,4]	$(- 2, 4]$
186198	Graph	(A union B) intersect C	$(A \cup B) \cap C$
186199	Factor	2/3xy^2+2x-1/3xy^2+2/3x^2y-5x	$\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x$
186200	Graph Using a Table of Values	f(x)=\|x+2\|	$f (x) = \| x + 2 \|$