Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196701	Solve the Inequality for x	-7/5>-3-(-x+1)-2/5x	$- \frac{7}{5} > - 3 - (- x + 1) - \frac{2}{5} x$
196702	Solve for x	x/2+1=1/4x-6	$\frac{x}{2} + 1 = \frac{1}{4} x - 6$
196703	Graph	p(x)=(x-3)(x+3)(2x+1)^2	$p (x) = (x - 3) (x + 3) {(2 x + 1)}^{2}$
196704	Solve the Inequality for x	-9-(-7x-3/2)>-10	$- 9 - (- 7 x - \frac{3}{2}) > - 10$
196705	Solve the Inequality for x	(x^2)/(3x-7)<=0	$\frac{x^{2}}{3 x - 7} \leq 0$
196706	Find the Quadratic Equation Given the Roots	5 and 7	$5$ and $7$
196707	Factor	x^(-9/2)+2x^(-7/2)+x^(-5/2)	$x^{- \frac{9}{2}} + 2 x^{- \frac{7}{2}} + x^{- \frac{5}{2}}$
196708	Solve for x	4+1/x=10/(2x)	$4 + \frac{1}{x} = \frac{10}{2 x}$
196709	Graph	((x-5)^2)/25=1-((y+2)^2)/9	$\frac{{(x - 5)}^{2}}{25} = 1 - \frac{{(y + 2)}^{2}}{9}$
196710	Solve for x	2/3-2x=5+4/3x	$\frac{2}{3} - 2 x = 5 + \frac{4}{3} x$
196711	Multiply	(y^2-y-2)/(y^2+2y+1)*(y^2-1)/(y-2)	$\frac{y^{2} - y - 2}{y^{2} + 2 y + 1} \cdot \frac{y^{2} - 1}{y - 2}$
196712	Find the Domain and Range	f(x) = square root of 4x+1-4	$f (x) = \sqrt{4 x + 1} - 4$ ?
196713	Find the Degree, Leading Term, and Leading Coefficient	-8x-5x^4-1-(x^5)/9+8x^3	$- 8 x - 5 x^{4} - 1 - \frac{x^{5}}{9} + 8 x^{3}$
196714	Simplify	(x(x^2-9))/(x^2-2x-3)	$\frac{x (x^{2} - 9)}{x^{2} - 2 x - 3}$
196715	Graph Using a Table of Values	e^x	$e^{x}$
196716	Evaluate	1(-4)-89/-3	$1 \times (- 4) - 8 \times \frac{9}{- 3}$
196717	Solve for x	16^(1/5)*2^x=8^(3/4)	$16^{\frac{1}{5}} \cdot 2^{x} = 8^{\frac{3}{4}}$
196718	Graph	f(x)=x/2+3/2	$f (x) = \frac{x}{2} + \frac{3}{2}$
196719	Graph	f(x)=x+1 if x<=-3; -1 if -3=4	$f (x) = {\begin{cases} x + 1 & x \leq - 3 \\ - 1 & - 3 = 4 \end{cases}$
196720	Graph	y=-x^3-2x^2+1x+3	$y = - x^{3} - 2 x^{2} + 1 x + 3$
196721	Solve for x	x-1/4(-x+10)=-5+1/3(-6x+3)	$x - \frac{1}{4} (- x + 10) = - 5 + \frac{1}{3} (- 6 x + 3)$
196722	Find the Domain and Range	y=(x+2)	$y = (x + 2)$
196723	Solve for z	3(5z-3)-4(2z+1)=5z-2	$3 (5 z - 3) - 4 (2 z + 1) = 5 z - 2$
196724	Evaluate	(3i)^5	${(3 i)}^{5}$
196725	Find the Exact Value	cos(pi/4)cos(pi/12)-sin(pi/4)sin(pi/12)	$\cos (\frac{π}{4}) \cos (\frac{π}{12}) - \sin (\frac{π}{4}) \sin (\frac{π}{12})$
196726	Simplify	-10*(-a-2.5-0.5b)	$- 10 \cdot (- a - 2.5 - 0.5 b)$
196727	Solve for m	10m-3>6m+1	$10 m - 3 > 6 m + 1$
196728	Evaluate the Function	f(x+1)=x-2	$f (x + 1) = x - 2$
196729	Solve for f	e-5=2f	$e - 5 = 2 f$
196730	Simplify	(1.2c^2-7a^2)(1.2c^2+7a^2)	$(1.2 c^{2} - 7 a^{2}) (1.2 c^{2} + 7 a^{2})$
196731	Graph Using a Table of Values	f(x)=sin(x)	$f (x) = \sin (x)$
196732	Solve for z	0=z^2-10z+25	$0 = z^{2} - 10 z + 25$
196733	Subtract	(2x+3)/(x-5)-7/(x^2-3x-10)	$\frac{2 x + 3}{x - 5} - \frac{7}{x^{2} - 3 x - 10}$
196734	Solve for x	-5x+1-3(x+2)=-9x+15	$- 5 x + 1 - 3 (x + 2) = - 9 x + 15$
196735	Find the x and y Intercepts	f(x)=-3x^6-10x^5+15x^4+50x^3	$f (x) = - 3 x^{6} - 10 x^{5} + 15 x^{4} + 50 x^{3}$
196736	Simplify	6x+3-4x+2y+7	$6 x + 3 - 4 x + 2 y + 7$
196737	Simplify	(-3/5)^3	${(- \frac{3}{5})}^{3}$
196738	Solve for r	(r,4) , (7,1) , m=3/4	$(r, 4)$ , $(7, 1)$ , $m = \frac{3}{4}$
196739	Simplify	(4- square root of 2)/(2 square root of 8)	$\frac{4 - \sqrt{2}}{2 \sqrt{8}}$
196740	Graph	(0,3/2)	$(0, \frac{3}{2})$
196741	Simplify	((x^5)/-2)^-3	${(\frac{x^{5}}{- 2})}^{- 3}$
196742	Solve the Inequality for a	8a-15>73	$8 a - 15 > 73$
196743	Find the Product	(x+1/2)^2	${(x + \frac{1}{2})}^{2}$
196744	Find the LCD	(5x)/(4x+16) and -1/(x+4)	$\frac{5 x}{4 x + 16}$ and $\frac{- 1}{x + 4}$
196745	Write in Standard Form	h(x)=5/3x^2- square root of 7x^4+8x^3-1/2+x	$h (x) = \frac{5}{3} x^{2} - \sqrt{7} x^{4} + 8 x^{3} - \frac{1}{2} + x$
196746	Simplify the Radical Expression	square root of y^3	$\sqrt{y^{3}}$
196747	Solve for x	2(3)(4x)-2*3(5x)=6	$2 (3) (4 x) - 2 \cdot 3 (5 x) = 6$
196748	Find the Roots (Zeros)	f(x)=-(x+1)^2(x-2)	$f (x) = - {(x + 1)}^{2} (x - 2)$
196749	Solve for b	15(1/3b+3)<=6(b+9)	$15 (\frac{1}{3} b + 3) \leq 6 (b + 9)$
196750	Evaluate	0/(\|0\|)	$\frac{0}{\| 0 \|}$
196751	Find the Roots (Zeros)	x^2+14x=-45	$x^{2} + 14 x = - 45$
196752	Solve the Rational Equation for x	(x+5)/(2x)=3/4	$\frac{x + 5}{2 x} = \frac{3}{4}$
196753	Graph	13+2v-8+6>-7-v	$13 + 2 v - 8 + 6 > - 7 - v$
196754	Find the x and y Intercepts	g(x)=2/3x(x+8)	$g (x) = \frac{2}{3} x (x + 8)$
196755	Multiply	(3a)/(4b^5)*(12b^2)/(9a)	$\frac{3 a}{4 b^{5}} \cdot \frac{12 b^{2}}{9 a}$
196756	Simplify	f(x)=(1/(sec(x)-1)+1/(sec(x)+1))*(tan(x)^2)/(csc(x))	$f (x) = (\frac{1}{\sec (x) - 1} + \frac{1}{\sec (x) + 1}) \cdot \frac{\tan^{2} (x)}{\csc (x)}$
196757	Graph	y^2+2x^2+6x=10	$y^{2} + 2 x^{2} + 6 x = 10$
196758	Graph	g(x)=(3x)^2+1	$g (x) = {(3 x)}^{2} + 1$
196759	Solve for x	6/5-3/(5x)=1	$\frac{6}{5} - \frac{3}{5 x} = 1$
196760	Find the Domain and Range	f(x)=cos(x)+1	$f (x) = \cos (x) + 1$
196761	Simplify	(7a+7b)/(5a+5b)	$\frac{7 a + 7 b}{5 a + 5 b}$
196762	Evaluate	2/(5(32)^(3/5))	$\frac{2}{5 {(32)}^{\frac{3}{5}}}$
196763	Solve for x	y=(x-8)m	$y = (x - 8) m$
196764	Find the Quadratic Equation Given the Roots	5 and -2	$5$ and $- 2$
196765	Multiply	(3x^4y^7)(5x^2y)	$(3 x^{4} y^{7}) (5 x^{2} y)$
196766	Find the 6th Term	81 , 27 , 9 , 3 , 1	$81$ , $27$ , $9$ , $3$ , $1$
196767	Solve the Inequality for x	(x-3)(x^2+1)(x+4)>0	$(x - 3) (x^{2} + 1) (x + 4) > 0$
196768	Solve for x	11 cube root of x-12=66	$11 \sqrt[3]{x - 12} = 66$
196769	Simplify	((x^6*x^10)/(x^-3))^2	${(\frac{x^{6} \cdot x^{10}}{x^{- 3}})}^{2}$
196770	Solve for x	x^2-30=x	$x^{2} - 30 = x$
196771	Divide	(6x^5y^2-3x^2y^3)/(3x^4y)	$\frac{6 x^{5} y^{2} - 3 x^{2} y^{3}}{3 x^{4} y}$
196772	Solve for p	kn+mp=q	$k n + m p = q$
196773	Find the Exact Value	cos(pi/3)+tan((5pi)/3)	$\cos (\frac{π}{3}) + \tan (\frac{5 π}{3})$
196774	Graph	(-( square root of 2)/2,-( square root of 2)/2)	$(- \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2})$
196775	Find the Exact Value	cos(-360 degrees )	$\cos (- 360 °)$
196776	Simplify	seventh root of x^2x^5	$\sqrt[7]{x^{2} x^{5}}$
196777	Solve the Inequality for x	3+3x-1=x+2+2x	$3 + 3 x - 1 = x + 2 + 2 x$
196778	Find the Parallel Line	(-1,4) and parallel to x+2y=5	$(- 1, 4)$ and parallel to $x + 2 y = 5$
196779	Find the x and y Intercepts	f(x)=2x^4+3x^3+8x^2+12x	$f (x) = 2 x^{4} + 3 x^{3} + 8 x^{2} + 12 x$
196780	Simplify	i^38*i^15	$i^{38} \cdot i^{15}$
196781	Simplify	((-4a^2b)(-3a^7b))/(6a^7b^2)+16a^2	$\frac{(- 4 a^{2} b) (- 3 a^{7} b)}{6 a^{7} b^{2}} + 16 a^{2}$
196782	Divide	y÷y	$y \div y$
196783	Solve for d	R/(p(d+a))=g	$\frac{R}{p (d + a)} = g$
196784	Solve for x	6x+5-2x=4+4x+1	$6 x + 5 - 2 x = 4 + 4 x + 1$
196785	Solve for r	L/(p(r+s))=n	$\frac{L}{p (r + s)} = n$
196786	Solve for x	log of x- log of 22-x=1	$\log (x) - \log (22 - x) = 1$
196787	Find g(f(x))	f(x)=x^2 , g(x)=x-1	$f (x) = x^{2}$ , $g (x) = x - 1$
196788	Simplify	7+(9+27i)-2(25-11i)	$7 + (9 + 27 i) - 2 (25 - 11 i)$
196789	Find All Complex Solutions	\|2x-8\|+3=5	$\| 2 x - 8 \| + 3 = 5$
196790	Find the Exact Value	sin(60 degrees )+cos(30 degrees )	$\sin (60 °) + \cos (30 °)$
196791	Solve the System of Equations	y=-2x+1 4x+2y=3	$y = - 2 x + 1$ $4 x + 2 y = 3$
196792	Solve for m	E=mc^2 for m	$E = m c^{2}$ for $m$
196793	Solve for x	x/(x-1)-(2x+7)/(x+8)=3/(x^2+7x-8)	$\frac{x}{x - 1} - \frac{2 x + 7}{x + 8} = \frac{3}{x^{2} + 7 x - 8}$
196794	Find the Excluded Values	(4xy^3)/(x^2y)*y/(8x)	$\frac{4 x y^{3}}{x^{2} y} \cdot \frac{y}{8 x}$
196795	Find the Exact Value	sin(135 degrees )-cos(60 degrees )	$\sin (135 °) - \cos (60 °)$
196796	Solve the Inequality for x	5x>=7x+4	$5 x \geq 7 x + 4$
196797	Graph	-x^3+3x	$- x^{3} + 3 x$
196798	Simplify	(-( square root of 3)/2)÷(1/2)	$- \frac{\sqrt{3}}{2} \div \frac{1}{2}$
196799	Find the Exact Value	sin(1/(2/pi))	$\sin (\frac{1}{\frac{2}{π}})$
196800	Solve for P₁	(P_1V_1)/T_1=(P_2V_2)/T_2	$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$