Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196701	Evaluate	1(-4)-89/-3	$1 \times (- 4) - 8 \times \frac{9}{- 3}$
196702	Solve for x	16^(1/5)*2^x=8^(3/4)	$16^{\frac{1}{5}} \cdot 2^{x} = 8^{\frac{3}{4}}$
196703	Graph	f(x)=x/2+3/2	$f (x) = \frac{x}{2} + \frac{3}{2}$
196704	Graph	f(x)=x+1 if x<=-3; -1 if -3=4	$f (x) = {\begin{cases} x + 1 & x \leq - 3 \\ - 1 & - 3 = 4 \end{cases}$
196705	Graph	y=-x^3-2x^2+1x+3	$y = - x^{3} - 2 x^{2} + 1 x + 3$
196706	Solve for x	x-1/4(-x+10)=-5+1/3(-6x+3)	$x - \frac{1}{4} (- x + 10) = - 5 + \frac{1}{3} (- 6 x + 3)$
196707	Find the Domain and Range	y=(x+2)	$y = (x + 2)$
196708	Solve for z	3(5z-3)-4(2z+1)=5z-2	$3 (5 z - 3) - 4 (2 z + 1) = 5 z - 2$
196709	Evaluate	(3i)^5	${(3 i)}^{5}$
196710	Find the Exact Value	cos(pi/4)cos(pi/12)-sin(pi/4)sin(pi/12)	$\cos (\frac{π}{4}) \cos (\frac{π}{12}) - \sin (\frac{π}{4}) \sin (\frac{π}{12})$
196711	Simplify	-10*(-a-2.5-0.5b)	$- 10 \cdot (- a - 2.5 - 0.5 b)$
196712	Solve for m	10m-3>6m+1	$10 m - 3 > 6 m + 1$
196713	Evaluate the Function	f(x+1)=x-2	$f (x + 1) = x - 2$
196714	Solve for f	e-5=2f	$e - 5 = 2 f$
196715	Simplify	(1.2c^2-7a^2)(1.2c^2+7a^2)	$(1.2 c^{2} - 7 a^{2}) (1.2 c^{2} + 7 a^{2})$
196716	Graph Using a Table of Values	f(x)=sin(x)	$f (x) = \sin (x)$
196717	Solve for z	0=z^2-10z+25	$0 = z^{2} - 10 z + 25$
196718	Subtract	(2x+3)/(x-5)-7/(x^2-3x-10)	$\frac{2 x + 3}{x - 5} - \frac{7}{x^{2} - 3 x - 10}$
196719	Solve for x	-5x+1-3(x+2)=-9x+15	$- 5 x + 1 - 3 (x + 2) = - 9 x + 15$
196720	Find the x and y Intercepts	f(x)=-3x^6-10x^5+15x^4+50x^3	$f (x) = - 3 x^{6} - 10 x^{5} + 15 x^{4} + 50 x^{3}$
196721	Simplify	6x+3-4x+2y+7	$6 x + 3 - 4 x + 2 y + 7$
196722	Simplify	(-3/5)^3	${(- \frac{3}{5})}^{3}$
196723	Solve for r	(r,4) , (7,1) , m=3/4	$(r, 4)$ , $(7, 1)$ , $m = \frac{3}{4}$
196724	Simplify	(4- square root of 2)/(2 square root of 8)	$\frac{4 - \sqrt{2}}{2 \sqrt{8}}$
196725	Graph	(0,3/2)	$(0, \frac{3}{2})$
196726	Simplify	((x^5)/-2)^-3	${(\frac{x^{5}}{- 2})}^{- 3}$
196727	Solve the Inequality for a	8a-15>73	$8 a - 15 > 73$
196728	Find the Product	(x+1/2)^2	${(x + \frac{1}{2})}^{2}$
196729	Find the LCD	(5x)/(4x+16) and -1/(x+4)	$\frac{5 x}{4 x + 16}$ and $\frac{- 1}{x + 4}$
196730	Write in Standard Form	h(x)=5/3x^2- square root of 7x^4+8x^3-1/2+x	$h (x) = \frac{5}{3} x^{2} - \sqrt{7} x^{4} + 8 x^{3} - \frac{1}{2} + x$
196731	Simplify the Radical Expression	square root of y^3	$\sqrt{y^{3}}$
196732	Solve for x	2(3)(4x)-2*3(5x)=6	$2 (3) (4 x) - 2 \cdot 3 (5 x) = 6$
196733	Find the Roots (Zeros)	f(x)=-(x+1)^2(x-2)	$f (x) = - {(x + 1)}^{2} (x - 2)$
196734	Solve for b	15(1/3b+3)<=6(b+9)	$15 (\frac{1}{3} b + 3) \leq 6 (b + 9)$
196735	Evaluate	0/(\|0\|)	$\frac{0}{\| 0 \|}$
196736	Find the Roots (Zeros)	x^2+14x=-45	$x^{2} + 14 x = - 45$
196737	Solve the Rational Equation for x	(x+5)/(2x)=3/4	$\frac{x + 5}{2 x} = \frac{3}{4}$
196738	Graph	13+2v-8+6>-7-v	$13 + 2 v - 8 + 6 > - 7 - v$
196739	Find the x and y Intercepts	g(x)=2/3x(x+8)	$g (x) = \frac{2}{3} x (x + 8)$
196740	Multiply	(3a)/(4b^5)*(12b^2)/(9a)	$\frac{3 a}{4 b^{5}} \cdot \frac{12 b^{2}}{9 a}$
196741	Simplify	f(x)=(1/(sec(x)-1)+1/(sec(x)+1))*(tan(x)^2)/(csc(x))	$f (x) = (\frac{1}{\sec (x) - 1} + \frac{1}{\sec (x) + 1}) \cdot \frac{\tan^{2} (x)}{\csc (x)}$
196742	Graph	y^2+2x^2+6x=10	$y^{2} + 2 x^{2} + 6 x = 10$
196743	Graph	g(x)=(3x)^2+1	$g (x) = {(3 x)}^{2} + 1$
196744	Solve for x	6/5-3/(5x)=1	$\frac{6}{5} - \frac{3}{5 x} = 1$
196745	Find the Domain and Range	f(x)=cos(x)+1	$f (x) = \cos (x) + 1$
196746	Simplify	(7a+7b)/(5a+5b)	$\frac{7 a + 7 b}{5 a + 5 b}$
196747	Evaluate	2/(5(32)^(3/5))	$\frac{2}{5 {(32)}^{\frac{3}{5}}}$
196748	Solve for x	y=(x-8)m	$y = (x - 8) m$
196749	Find the Quadratic Equation Given the Roots	5 and -2	$5$ and $- 2$
196750	Multiply	(3x^4y^7)(5x^2y)	$(3 x^{4} y^{7}) (5 x^{2} y)$
196751	Find the 6th Term	81 , 27 , 9 , 3 , 1	$81$ , $27$ , $9$ , $3$ , $1$
196752	Solve the Inequality for x	(x-3)(x^2+1)(x+4)>0	$(x - 3) (x^{2} + 1) (x + 4) > 0$
196753	Solve for x	11 cube root of x-12=66	$11 \sqrt[3]{x - 12} = 66$
196754	Simplify	((x^6*x^10)/(x^-3))^2	${(\frac{x^{6} \cdot x^{10}}{x^{- 3}})}^{2}$
196755	Solve for x	x^2-30=x	$x^{2} - 30 = x$
196756	Divide	(6x^5y^2-3x^2y^3)/(3x^4y)	$\frac{6 x^{5} y^{2} - 3 x^{2} y^{3}}{3 x^{4} y}$
196757	Solve for p	kn+mp=q	$k n + m p = q$
196758	Find the Exact Value	cos(pi/3)+tan((5pi)/3)	$\cos (\frac{π}{3}) + \tan (\frac{5 π}{3})$
196759	Graph	(-( square root of 2)/2,-( square root of 2)/2)	$(- \frac{\sqrt{2}}{2}, - \frac{\sqrt{2}}{2})$
196760	Find the Exact Value	cos(-360 degrees )	$\cos (- 360 °)$
196761	Simplify	seventh root of x^2x^5	$\sqrt[7]{x^{2} x^{5}}$
196762	Solve the Inequality for x	3+3x-1=x+2+2x	$3 + 3 x - 1 = x + 2 + 2 x$
196763	Find the Parallel Line	(-1,4) and parallel to x+2y=5	$(- 1, 4)$ and parallel to $x + 2 y = 5$
196764	Find the x and y Intercepts	f(x)=2x^4+3x^3+8x^2+12x	$f (x) = 2 x^{4} + 3 x^{3} + 8 x^{2} + 12 x$
196765	Simplify	i^38*i^15	$i^{38} \cdot i^{15}$
196766	Simplify	((-4a^2b)(-3a^7b))/(6a^7b^2)+16a^2	$\frac{(- 4 a^{2} b) (- 3 a^{7} b)}{6 a^{7} b^{2}} + 16 a^{2}$
196767	Divide	y÷y	$y \div y$
196768	Solve for d	R/(p(d+a))=g	$\frac{R}{p (d + a)} = g$
196769	Solve for x	6x+5-2x=4+4x+1	$6 x + 5 - 2 x = 4 + 4 x + 1$
196770	Solve for r	L/(p(r+s))=n	$\frac{L}{p (r + s)} = n$
196771	Solve for x	log of x- log of 22-x=1	$\log (x) - \log (22 - x) = 1$
196772	Find g(f(x))	f(x)=x^2 , g(x)=x-1	$f (x) = x^{2}$ , $g (x) = x - 1$
196773	Simplify	7+(9+27i)-2(25-11i)	$7 + (9 + 27 i) - 2 (25 - 11 i)$
196774	Find All Complex Solutions	\|2x-8\|+3=5	$\| 2 x - 8 \| + 3 = 5$
196775	Find the Exact Value	sin(60 degrees )+cos(30 degrees )	$\sin (60 °) + \cos (30 °)$
196776	Solve the System of Equations	y=-2x+1 4x+2y=3	$y = - 2 x + 1$ $4 x + 2 y = 3$
196777	Solve for m	E=mc^2 for m	$E = m c^{2}$ for $m$
196778	Solve for x	x/(x-1)-(2x+7)/(x+8)=3/(x^2+7x-8)	$\frac{x}{x - 1} - \frac{2 x + 7}{x + 8} = \frac{3}{x^{2} + 7 x - 8}$
196779	Find the Excluded Values	(4xy^3)/(x^2y)*y/(8x)	$\frac{4 x y^{3}}{x^{2} y} \cdot \frac{y}{8 x}$
196780	Find the Exact Value	sin(135 degrees )-cos(60 degrees )	$\sin (135 °) - \cos (60 °)$
196781	Solve the Inequality for x	5x>=7x+4	$5 x \geq 7 x + 4$
196782	Graph	-x^3+3x	$- x^{3} + 3 x$
196783	Simplify	(-( square root of 3)/2)÷(1/2)	$- \frac{\sqrt{3}}{2} \div \frac{1}{2}$
196784	Find the Exact Value	sin(1/(2/pi))	$\sin (\frac{1}{\frac{2}{π}})$
196785	Solve for P₁	(P_1V_1)/T_1=(P_2V_2)/T_2	$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
196786	Solve the Inequality for x	5(x-2)>5x	$5 (x - 2) > 5 x$
196787	Multiply	(x^3-2x^2+3x-1)(2x+3)	$(x^{3} - 2 x^{2} + 3 x - 1) (2 x + 3)$
196788	Find the Inverse	x^(1/3)	$x^{\frac{1}{3}}$
196789	Simplify	0.2a^2b^3*(-5a^3b)^2	$0.2 a^{2} b^{3} \cdot {(- 5 a^{3} b)}^{2}$
196790	Convert to Interval Notation	x<7 or x<9	$x < 7$ or $x < 9$
196791	Evaluate	4sin(x)^2-1=0	$4 \sin^{2} (x) - 1 = 0$
196792	Find the Roots (Zeros)	3x^4+4x-8	$3 x^{4} + 4 x - 8$
196793	Solve for x	x^2+164=16x	$x^{2} + 164 = 16 x$
196794	Solve for x	-5/4(3x+5)=1/4(-x+1)-3	$- \frac{5}{4} (3 x + 5) = \frac{1}{4} (- x + 1) - 3$
196795	Solve the System of Inequalities	x+7<7 OR 5+2x>=7	$x + 7 < 7$ OR $5 + 2 x \geq 7$
196796	Find the End Behavior	f(x)=4x^4+324x-36x^3+36x^2-648	$f (x) = 4 x^{4} + 324 x - 36 x^{3} + 36 x^{2} - 648$
196797	Solve the Inequality for u	4u-6>=6u-20	$4 u - 6 \geq 6 u - 20$
196798	Solve for x	0=-x^2+1	$0 = - x^{2} + 1$
196799	Find the Roots (Zeros)	square root of 2y-5 = square root of 2y+6	$\sqrt{2 y - 5} = \sqrt{2 y + 6}$
196800	Write as a Single Logarithm	2 log of 5+5 log of x	$2 \log (5) + 5 \log (x)$