Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216701	Solve for x	-44=-8-9x^2	$- 44 = - 8 - 9 x^{2}$
216702	Simplify	sin(theta)^2+sin(theta)csc(theta)cos(theta)^2	$\sin^{2} (θ) + \sin (θ) \csc (θ) \cos^{2} (θ)$
216703	Simplify the Radical Expression	( square root of 8)/( square root of 7)	$\frac{\sqrt{8}}{\sqrt{7}}$
216704	Simplify	(2x^-3y^2)/(x^-3y^-3)	$\frac{2 x^{- 3} y^{2}}{x^{- 3} y^{- 3}}$
216705	Factor	28xy+49x^2+4y^2	$28 x y + 49 x^{2} + 4 y^{2}$
216706	Solve the Inequality for x	3x^2-5x-8<-3x	$3 x^{2} - 5 x - 8 < - 3 x$
216707	Graph	f(x)=6+0.5x if 0<=x<=6; -3+2x if x>6	$f (x) = {\begin{cases} 6 + 0.5 x & 0 \leq x \leq 6 \\ - 3 + 2 x & x > 6 \end{cases}$
216708	Solve for x	(3x)/2+1/2x-x=1-3(x-3)	$\frac{3 x}{2} + \frac{1}{2} x - x = 1 - 3 (x - 3)$
216709	Factor	x^3+x^2-2x-2=0	$x^{3} + x^{2} - 2 x - 2 = 0$
216710	Solve for x	2/(3 cube root of x)=0	$\frac{2}{3 \sqrt[3]{x}} = 0$
216711	Find the Exact Value	(11^7* square root of 6)/(11^5*6^(3/2))	$\frac{11^{7} \cdot \sqrt{6}}{11^{5} \cdot 6^{\frac{3}{2}}}$
216712	Multiply	(3x^2-19x-14)/(5x^2+7x+2)*(5x+2)/(5x-35)	$\frac{3 x^{2} - 19 x - 14}{5 x^{2} + 7 x + 2} \cdot \frac{5 x + 2}{5 x - 35}$
216713	Simplify	((16 square root of x)^2)/(y^-1)	$\frac{{(16 \sqrt{x})}^{2}}{y^{- 1}}$
216714	Solve the Absolute Value Inequality for p	\|5-3p\|+9=13p+8	$\| 5 - 3 p \| + 9 = 13 p + 8$
216715	Simplify	square root of 36a^2+14a^2	$\sqrt{36 a^{2} + 14 a^{2}}$
216716	Solve the System of Equations	-x+3y=-6 and 4x+7y=-33	$- x + 3 y = - 6$ and $4 x + 7 y = - 33$
216717	Solve the System of Equations	-3x+y=7 and -5x-4y=23	$- 3 x + y = 7$ and $- 5 x - 4 y = 23$
216718	Simplify	(15w^-3x^5y^2)/(6w^-2x^-2y)	$\frac{15 w^{- 3} x^{5} y^{2}}{6 w^{- 2} x^{- 2} y}$
216719	Evaluate	-2(5)^(1/3)+5(5)^(1/2)	$- 2 {(5)}^{\frac{1}{3}} + 5 {(5)}^{\frac{1}{2}}$
216720	Solve for n	n-70=200-(15*4)	$n - 70 = 200 - (15 \times 4)$
216721	Solve the Rational Equation for x	1/(x-3)-2/(x+4)=(2x-1)/(x^2+x-12)	$\frac{1}{x - 3} - \frac{2}{x + 4} = \frac{2 x - 1}{x^{2} + x - 12}$
216722	Solve for x	sin(x^2-2x+1)=0	$\sin (x^{2} - 2 x + 1) = 0$
216723	Evaluate	(22/7-2/3)÷2	$(\frac{22}{7} - \frac{2}{3}) \div 2$
216724	Solve for x	8^x+8=2^(2x+3)+2^x	$8^{x} + 8 = 2^{2 x + 3} + 2^{x}$
216725	Simplify the Radical Expression	(s/(r^2))^(-3/4)	${(\frac{s}{r^{2}})}^{- \frac{3}{4}}$
216726	Write in Standard Form	y=2(2x-5)^2-10	$y = 2 {(2 x - 5)}^{2} - 10$
216727	Subtract	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
216728	Write the Fraction in Simplest Form	(-5t^5)/((5t^4)^2)	$\frac{- 5 t^{5}}{{(5 t^{4})}^{2}}$
216729	Solve the System of Equations	y=2x y=2x^2-4	$y = 2 x$ $y = 2 x^{2} - 4$
216730	Simplify	4/9z-3/9z+5-5/9z-8	$\frac{4}{9} z - \frac{3}{9} z + 5 - \frac{5}{9} z - 8$
216731	Simplify	(a^2b)/(ba^2)	$\frac{a^{2} b}{b a^{2}}$
216732	Find the Inverse	f(x)=(3x+2)^(1/2)	$f (x) = {(3 x + 2)}^{\frac{1}{2}}$
216733	Simplify	(2x^3)/5*8/(3x^2)	$\frac{2 x^{3}}{5} \cdot \frac{8}{3 x^{2}}$
216734	Solve for a	(1/3)^(-9x)=a^x	${(\frac{1}{3})}^{- 9 x} = a^{x}$
216735	Simplify	(x^2+2xy+y^2)(x+y)	$(x^{2} + 2 x y + y^{2}) (x + y)$
216736	Solve for d	3d^2+8d=40	$3 d^{2} + 8 d = 40$
216737	Evaluate	(5^2-(7) square root of 16)/( square root of 5^2+11)	$\frac{5^{2} - (7) \sqrt{16}}{\sqrt{5^{2} + 11}}$
216738	Simplify	3x^2-3(x-4)(x+4)	$3 x^{2} - 3 (x - 4) (x + 4)$
216739	Convert to Radical Form	ab2/3	$a b \frac{2}{3}$
216740	Graph	y cube root of x	$y \sqrt[3]{x}$
216741	Graph	y<-2x+1 y<=-2/3x+2	$y < - 2 x + 1$ $y \leq - \frac{2}{3} x + 2$
216742	Solve for x	1/2sec(x)-1=0	$\frac{1}{2} \sec (x) - 1 = 0$
216743	Solve the Inequality for d	3(2d-1)>=4(2d-3)-3	$3 (2 d - 1) \geq 4 (2 d - 3) - 3$
216744	Simplify	((24x-6x^3)/(3x-x^2)*(x^2+2x-3)/(x^2+9x-10))÷((x^2+5x+6)/(x^2+7x-30))	$\frac{24 x - 6 x^{3}}{3 x - x^{2}} \cdot \frac{x^{2} + 2 x - 3}{x^{2} + 9 x - 10} \div \frac{x^{2} + 5 x + 6}{x^{2} + 7 x - 30}$
216745	Graph	7.2>0.9(n+8.6)	$7.2 > 0.9 (n + 8.6)$
216746	Solve for x	x/8+3/4=-1/2	$\frac{x}{8} + \frac{3}{4} = - \frac{1}{2}$
216747	Simplify	natural log of e^(x^2)	$\ln (e^{x^{2}})$
216748	Convert to Interval Notation	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
216749	Evaluate	80% of 50	$80 %$ of $50$
216750	Simplify	(10p^4+11)-(11p^4+13+16p^2)	$(10 p^{4} + 11) - (11 p^{4} + 13 + 16 p^{2})$
216751	Solve by Factoring	9=12x-4x^2	$9 = 12 x - 4 x^{2}$
216752	Simplify the Radical Expression	3/( fourth root of 4a^4)	$\frac{3}{\sqrt[4]{4 a^{4}}}$
216753	Solve for x	2/(x+6)+3/(x-6)=x/(x-6)	$\frac{2}{x + 6} + \frac{3}{x - 6} = \frac{x}{x - 6}$
216754	Simplify	(2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)	$(2 x^{2} + x + 1) - (x^{2} - x + 7) - (4 x^{2} + 2 x + 8)$
216755	Solve for x	4/(x-4)=4+x/(x-4)	$\frac{4}{x - 4} = 4 + \frac{x}{x - 4}$
216756	Graph	x^2-y=-4x-3	$x^{2} - y = - 4 x - 3$
216757	Find the Vertex Form	y=2(x-3)(x+5)	$y = 2 (x - 3) (x + 5)$
216758	Solve the System of Equations	x-y=-1 2x-y=0	$x - y = - 1$ $2 x - y = 0$
216759	Find the Discriminant	-9r^2-8r-1=r-r^2-9	$- 9 r^{2} - 8 r - 1 = r - r^{2} - 9$
216760	Solve by Graphing	y=1/3x y=-2	$y = \frac{1}{3} x$ $y = - 2$
216761	Solve for x	4x^3=92	$4 x^{3} = 92$
216762	Simplify	( square root of 8- square root of 10)/( square root of 10- square root of 2)	$\frac{\sqrt{8} - \sqrt{10}}{\sqrt{10} - \sqrt{2}}$
216763	Simplify	1/((2x)^(-5/2))	$\frac{1}{{(2 x)}^{- \frac{5}{2}}}$
216764	Solve for x	1-(x-3)/2=(2-x)/3+4	$1 - \frac{(x - 3)}{2} = \frac{(2 - x)}{3} + 4$
216765	Solve for x	2/x=4/(2x)	$\frac{2}{x} = \frac{4}{2 x}$
216766	Simplify	(4/(2x+2))/(8/(3x+3))	$\frac{\frac{4}{2 x + 2}}{\frac{8}{3 x + 3}}$
216767	Solve the Inequality for y	3(2y-22)<-5y-33	$3 (2 y - 22) < - 5 y - 33$
216768	Simplify the Radical Expression	(-4i)^3*2i	${(- 4 i)}^{3} \cdot 2 i$
216769	Divide	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
216770	Solve for x	6x-4x=2x-2	$6 x - 4 x = 2 x - 2$
216771	Solve the System of Equations	3x-2y+z=18 x-2y+z=-2 2x-2y-z=12	$3 x - 2 y + z = 18$ $x - 2 y + z = - 2$ $2 x - 2 y - z = 12$
216772	Graph	sin(theta)<0 , sec(theta)>0	$\sin (θ) < 0$ , $\sec (θ) > 0$
216773	Simplify	(7x^3-x+4x^2-9)-(6x^2-4x^3+11)	$(7 x^{3} - x + 4 x^{2} - 9) - (6 x^{2} - 4 x^{3} + 11)$
216774	Evaluate	(18c^3)/(-3c^2)	$\frac{18 c^{3}}{- 3 c^{2}}$
216775	Graph	Y=F(X+7)	$Y = F (X + 7)$
216776	Simplify	(3^3+4^0+2^2+5^4)^0	${(3^{3} + 4^{0} + 2^{2} + 5^{4})}^{0}$
216777	Evaluate	60% of 80	$60 %$ of $80$
216778	Simplify	square root of (250x^6y^6)/(2x^4y^4)	$\sqrt{\frac{250 x^{6} y^{6}}{2 x^{4} y^{4}}}$
216779	Find h(g(x))	h(x)=4x-1 g(x)=2x+2	$h (x) = 4 x - 1$ $g (x) = 2 x + 2$
216780	Simplify	(2x+1)(2x-1)(x-1)(4x-3)	$(2 x + 1) (2 x - 1) (x - 1) (4 x - 3)$
216781	Divide Using Synthetic Division	(3x^4-6x^3+x^2+5x)/(x-1)	$\frac{3 x^{4} - 6 x^{3} + x^{2} + 5 x}{x - 1}$
216782	Simplify	(x-2)(3x+4)(x+1)(x-3)	$(x - 2) (3 x + 4) (x + 1) (x - 3)$
216783	Write in Slope-Intercept Form	(-12,4) and (0,2)	$(- 12, 4)$ and $(0, 2)$
216784	Write the Fraction in Simplest Form	(20b^-8r^-9)/((5b^4r^-5)^-2)	$\frac{20 b^{- 8} r^{- 9}}{{(5 b^{4} r^{- 5})}^{- 2}}$
216785	Find the Roots (Zeros)	(3x^2+x-4)/(x-1)	$\frac{3 x^{2} + x - 4}{x - 1}$
216786	Simplify	cos(15 degrees )^2-sin(15 degrees )^2	$\cos^{2} (15 °) - \sin^{2} (15 °)$
216787	Solve for v	-5=-5(-3-v)^(1/2)	$- 5 = - 5 {(- 3 - v)}^{\frac{1}{2}}$
216788	Simplify	(x^2)^4*yx^-3	${(x^{2})}^{4} \cdot y x^{- 3}$
216789	Solve Using the Quadratic Formula	4(6-4x)^2=49	$4 {(6 - 4 x)}^{2} = 49$
216790	Simplify	xx^2x^3*x^5	$x \cdot x^{2} \cdot x^{3} \cdot x^{5}$
216791	Solve for t	square root of t^2=0	$\sqrt{t^{2}} = 0$
216792	Simplify	-7p^9q^3r*-4p^2q^6r^4	$- 7 p^{9} q^{3} r \cdot - 4 p^{2} q^{6} r^{4}$
216793	Multiply	(4x+4)(3x+5)(x+5)	$(4 x + 4) (3 x + 5) (x + 5)$
216794	Find All Complex Solutions	cos(theta)+sin(theta)*tan(theta)=2	$\cos (θ) + \sin (θ) \cdot \tan (θ) = 2$
216795	Solve the Inequality for x	3x^2+15x+36<=-9x	$3 x^{2} + 15 x + 36 \leq - 9 x$
216796	Evaluate	(36k^4m^10)^(1/2)	${(36 k^{4} m^{10})}^{\frac{1}{2}}$
216797	Graph	x^3-7x+6	$x^{3} - 7 x + 6$
216798	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,6) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 3, 6)$ and has a slope of $- 1$ ?
216799	Write the Fraction in Simplest Form	(3(p^4w^5)^-2)/(3p^7)	$\frac{3 {(p^{4} w^{5})}^{- 2}}{3 p^{7}}$
216800	Simplify	cube root of x^2* cube root of x	$\sqrt[3]{x^{2}} \cdot \sqrt[3]{x}$