Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216701	Solve the System of Equations	-x+3y=-6 and 4x+7y=-33	$- x + 3 y = - 6$ and $4 x + 7 y = - 33$
216702	Solve the System of Equations	-3x+y=7 and -5x-4y=23	$- 3 x + y = 7$ and $- 5 x - 4 y = 23$
216703	Simplify	(15w^-3x^5y^2)/(6w^-2x^-2y)	$\frac{15 w^{- 3} x^{5} y^{2}}{6 w^{- 2} x^{- 2} y}$
216704	Evaluate	-2(5)^(1/3)+5(5)^(1/2)	$- 2 {(5)}^{\frac{1}{3}} + 5 {(5)}^{\frac{1}{2}}$
216705	Solve for n	n-70=200-(15*4)	$n - 70 = 200 - (15 \times 4)$
216706	Solve the Rational Equation for x	1/(x-3)-2/(x+4)=(2x-1)/(x^2+x-12)	$\frac{1}{x - 3} - \frac{2}{x + 4} = \frac{2 x - 1}{x^{2} + x - 12}$
216707	Solve for x	sin(x^2-2x+1)=0	$\sin (x^{2} - 2 x + 1) = 0$
216708	Evaluate	(22/7-2/3)÷2	$(\frac{22}{7} - \frac{2}{3}) \div 2$
216709	Solve for x	8^x+8=2^(2x+3)+2^x	$8^{x} + 8 = 2^{2 x + 3} + 2^{x}$
216710	Simplify the Radical Expression	(s/(r^2))^(-3/4)	${(\frac{s}{r^{2}})}^{- \frac{3}{4}}$
216711	Write in Standard Form	y=2(2x-5)^2-10	$y = 2 {(2 x - 5)}^{2} - 10$
216712	Subtract	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
216713	Write the Fraction in Simplest Form	(-5t^5)/((5t^4)^2)	$\frac{- 5 t^{5}}{{(5 t^{4})}^{2}}$
216714	Solve the System of Equations	y=2x y=2x^2-4	$y = 2 x$ $y = 2 x^{2} - 4$
216715	Simplify	4/9z-3/9z+5-5/9z-8	$\frac{4}{9} z - \frac{3}{9} z + 5 - \frac{5}{9} z - 8$
216716	Simplify	(a^2b)/(ba^2)	$\frac{a^{2} b}{b a^{2}}$
216717	Find the Inverse	f(x)=(3x+2)^(1/2)	$f (x) = {(3 x + 2)}^{\frac{1}{2}}$
216718	Simplify	(2x^3)/5*8/(3x^2)	$\frac{2 x^{3}}{5} \cdot \frac{8}{3 x^{2}}$
216719	Solve for a	(1/3)^(-9x)=a^x	${(\frac{1}{3})}^{- 9 x} = a^{x}$
216720	Simplify	(x^2+2xy+y^2)(x+y)	$(x^{2} + 2 x y + y^{2}) (x + y)$
216721	Solve for d	3d^2+8d=40	$3 d^{2} + 8 d = 40$
216722	Evaluate	(5^2-(7) square root of 16)/( square root of 5^2+11)	$\frac{5^{2} - (7) \sqrt{16}}{\sqrt{5^{2} + 11}}$
216723	Simplify	3x^2-3(x-4)(x+4)	$3 x^{2} - 3 (x - 4) (x + 4)$
216724	Convert to Radical Form	ab2/3	$a b \frac{2}{3}$
216725	Graph	y cube root of x	$y \sqrt[3]{x}$
216726	Graph	y<-2x+1 y<=-2/3x+2	$y < - 2 x + 1$ $y \leq - \frac{2}{3} x + 2$
216727	Solve for x	1/2sec(x)-1=0	$\frac{1}{2} \sec (x) - 1 = 0$
216728	Solve the Inequality for d	3(2d-1)>=4(2d-3)-3	$3 (2 d - 1) \geq 4 (2 d - 3) - 3$
216729	Simplify	((24x-6x^3)/(3x-x^2)*(x^2+2x-3)/(x^2+9x-10))÷((x^2+5x+6)/(x^2+7x-30))	$\frac{24 x - 6 x^{3}}{3 x - x^{2}} \cdot \frac{x^{2} + 2 x - 3}{x^{2} + 9 x - 10} \div \frac{x^{2} + 5 x + 6}{x^{2} + 7 x - 30}$
216730	Graph	7.2>0.9(n+8.6)	$7.2 > 0.9 (n + 8.6)$
216731	Solve for x	x/8+3/4=-1/2	$\frac{x}{8} + \frac{3}{4} = - \frac{1}{2}$
216732	Simplify	natural log of e^(x^2)	$\ln (e^{x^{2}})$
216733	Convert to Interval Notation	10^(4x+1)>=100^(x-2)	$10^{4 x + 1} \geq 100^{x - 2}$
216734	Evaluate	80% of 50	$80 %$ of $50$
216735	Simplify	(10p^4+11)-(11p^4+13+16p^2)	$(10 p^{4} + 11) - (11 p^{4} + 13 + 16 p^{2})$
216736	Solve by Factoring	9=12x-4x^2	$9 = 12 x - 4 x^{2}$
216737	Simplify the Radical Expression	3/( fourth root of 4a^4)	$\frac{3}{\sqrt[4]{4 a^{4}}}$
216738	Solve for x	2/(x+6)+3/(x-6)=x/(x-6)	$\frac{2}{x + 6} + \frac{3}{x - 6} = \frac{x}{x - 6}$
216739	Simplify	(2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)	$(2 x^{2} + x + 1) - (x^{2} - x + 7) - (4 x^{2} + 2 x + 8)$
216740	Solve for x	4/(x-4)=4+x/(x-4)	$\frac{4}{x - 4} = 4 + \frac{x}{x - 4}$
216741	Graph	x^2-y=-4x-3	$x^{2} - y = - 4 x - 3$
216742	Find the Vertex Form	y=2(x-3)(x+5)	$y = 2 (x - 3) (x + 5)$
216743	Solve the System of Equations	x-y=-1 2x-y=0	$x - y = - 1$ $2 x - y = 0$
216744	Find the Discriminant	-9r^2-8r-1=r-r^2-9	$- 9 r^{2} - 8 r - 1 = r - r^{2} - 9$
216745	Solve by Graphing	y=1/3x y=-2	$y = \frac{1}{3} x$ $y = - 2$
216746	Solve for x	4x^3=92	$4 x^{3} = 92$
216747	Simplify	( square root of 8- square root of 10)/( square root of 10- square root of 2)	$\frac{\sqrt{8} - \sqrt{10}}{\sqrt{10} - \sqrt{2}}$
216748	Simplify	1/((2x)^(-5/2))	$\frac{1}{{(2 x)}^{- \frac{5}{2}}}$
216749	Solve for x	1-(x-3)/2=(2-x)/3+4	$1 - \frac{(x - 3)}{2} = \frac{(2 - x)}{3} + 4$
216750	Solve for x	2/x=4/(2x)	$\frac{2}{x} = \frac{4}{2 x}$
216751	Simplify	(4/(2x+2))/(8/(3x+3))	$\frac{\frac{4}{2 x + 2}}{\frac{8}{3 x + 3}}$
216752	Solve the Inequality for y	3(2y-22)<-5y-33	$3 (2 y - 22) < - 5 y - 33$
216753	Simplify the Radical Expression	(-4i)^3*2i	${(- 4 i)}^{3} \cdot 2 i$
216754	Divide	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
216755	Solve for x	6x-4x=2x-2	$6 x - 4 x = 2 x - 2$
216756	Solve the System of Equations	3x-2y+z=18 x-2y+z=-2 2x-2y-z=12	$3 x - 2 y + z = 18$ $x - 2 y + z = - 2$ $2 x - 2 y - z = 12$
216757	Graph	sin(theta)<0 , sec(theta)>0	$\sin (θ) < 0$ , $\sec (θ) > 0$
216758	Simplify	(7x^3-x+4x^2-9)-(6x^2-4x^3+11)	$(7 x^{3} - x + 4 x^{2} - 9) - (6 x^{2} - 4 x^{3} + 11)$
216759	Evaluate	(18c^3)/(-3c^2)	$\frac{18 c^{3}}{- 3 c^{2}}$
216760	Graph	Y=F(X+7)	$Y = F (X + 7)$
216761	Simplify	(3^3+4^0+2^2+5^4)^0	${(3^{3} + 4^{0} + 2^{2} + 5^{4})}^{0}$
216762	Evaluate	60% of 80	$60 %$ of $80$
216763	Simplify	square root of (250x^6y^6)/(2x^4y^4)	$\sqrt{\frac{250 x^{6} y^{6}}{2 x^{4} y^{4}}}$
216764	Find h(g(x))	h(x)=4x-1 g(x)=2x+2	$h (x) = 4 x - 1$ $g (x) = 2 x + 2$
216765	Simplify	(2x+1)(2x-1)(x-1)(4x-3)	$(2 x + 1) (2 x - 1) (x - 1) (4 x - 3)$
216766	Divide Using Synthetic Division	(3x^4-6x^3+x^2+5x)/(x-1)	$\frac{3 x^{4} - 6 x^{3} + x^{2} + 5 x}{x - 1}$
216767	Simplify	(x-2)(3x+4)(x+1)(x-3)	$(x - 2) (3 x + 4) (x + 1) (x - 3)$
216768	Write in Slope-Intercept Form	(-12,4) and (0,2)	$(- 12, 4)$ and $(0, 2)$
216769	Write the Fraction in Simplest Form	(20b^-8r^-9)/((5b^4r^-5)^-2)	$\frac{20 b^{- 8} r^{- 9}}{{(5 b^{4} r^{- 5})}^{- 2}}$
216770	Find the Roots (Zeros)	(3x^2+x-4)/(x-1)	$\frac{3 x^{2} + x - 4}{x - 1}$
216771	Simplify	cos(15 degrees )^2-sin(15 degrees )^2	$\cos^{2} (15 °) - \sin^{2} (15 °)$
216772	Solve for v	-5=-5(-3-v)^(1/2)	$- 5 = - 5 {(- 3 - v)}^{\frac{1}{2}}$
216773	Simplify	(x^2)^4*yx^-3	${(x^{2})}^{4} \cdot y x^{- 3}$
216774	Solve Using the Quadratic Formula	4(6-4x)^2=49	$4 {(6 - 4 x)}^{2} = 49$
216775	Simplify	xx^2x^3*x^5	$x \cdot x^{2} \cdot x^{3} \cdot x^{5}$
216776	Solve for t	square root of t^2=0	$\sqrt{t^{2}} = 0$
216777	Simplify	-7p^9q^3r*-4p^2q^6r^4	$- 7 p^{9} q^{3} r \cdot - 4 p^{2} q^{6} r^{4}$
216778	Multiply	(4x+4)(3x+5)(x+5)	$(4 x + 4) (3 x + 5) (x + 5)$
216779	Find All Complex Solutions	cos(theta)+sin(theta)*tan(theta)=2	$\cos (θ) + \sin (θ) \cdot \tan (θ) = 2$
216780	Solve the Inequality for x	3x^2+15x+36<=-9x	$3 x^{2} + 15 x + 36 \leq - 9 x$
216781	Evaluate	(36k^4m^10)^(1/2)	${(36 k^{4} m^{10})}^{\frac{1}{2}}$
216782	Graph	x^3-7x+6	$x^{3} - 7 x + 6$
216783	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 $- 1$ ?
216784	Write the Fraction in Simplest Form	(3(p^4w^5)^-2)/(3p^7)	$\frac{3 {(p^{4} w^{5})}^{- 2}}{3 p^{7}}$
216785	Simplify	cube root of x^2* cube root of x	$\sqrt[3]{x^{2}} \cdot \sqrt[3]{x}$
216786	Solve for w	21+2.5w=6+5.7w-3.2w+15	$21 + 2.5 w = 6 + 5.7 w - 3.2 w + 15$
216787	Graph	3x+y<=3 2x-y<4	$3 x + y \leq 3$ $2 x - y < 4$
216788	Simplify	(5-i^3)-(8+i^7)	$(5 - i^{3}) - (8 + i^{7})$
216789	Simplify	((34^3)/(3^-24^-7))^0	${(\frac{3 \cdot 4^{3}}{3^{- 2} \cdot 4^{- 7}})}^{0}$
216790	Solve the System of Inequalities	12x-39<=9 ; AND , -4x+3<-6	$12 x - 39 \leq 9$ ; AND , $- 4 x + 3 < - 6$
216791	Simplify	((x^2-9y^2)/(xy))/((2x+6y)/(x^2))	$\frac{\frac{x^{2} - 9 y^{2}}{x y}}{\frac{2 x + 6 y}{x^{2}}}$
216792	Simplify	simplify square root of 18	simplify $\sqrt{18}$
216793	Solve by Graphing	-x+y=1 x-y=1	$- x + y = 1$ $x - y = 1$
216794	Solve the System of Equations	y=-2x^2-4x-1 y=2x+4	$y = - 2 x^{2} - 4 x - 1$ $y = 2 x + 4$
216795	Find the Degree, Leading Term, and Leading Coefficient	1/10x+9	$\frac{1}{10} x + 9$
216796	Factor	24x^2y^2+18xy^4-2xy^3	$24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}$
216797	Solve for y	x=( square root of 58+y)/1.98	$x = \frac{\sqrt{58 + y}}{1.98}$
216798	Solve the Inequality for x	-3x^2+39<=-9x+9	$- 3 x^{2} + 39 \leq - 9 x + 9$
216799	Solve for x	-2+(2x+7)/x=7/2	$- 2 + \frac{2 x + 7}{x} = \frac{7}{2}$
216800	Multiply	7/9*(-9/8)	$\frac{7}{9} \cdot (- \frac{9}{8})$