Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
159701	Solve for θ	sin(2theta)=( square root of 3)/2	$\sin (2 θ) = \frac{\sqrt{3}}{2}$
159702	Solve for θ	sin(2theta)=-( square root of 3)/2	$\sin (2 θ) = - \frac{\sqrt{3}}{2}$
159703	Solve for v	u=vw+z	$u = v w + z$
159704	Solve the Inequality for x	2x^2-5x-3<=0	$2 x^{2} - 5 x - 3 \leq 0$
159705	Solve the Inequality for x	(x-1)/(x+3)>0	$\frac{x - 1}{x + 3} > 0$
159706	Solve for T₂	(P_1V_1)/T_1=(P_2V_2)/T_2	$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}}$
159707	Find the Product	(2x-1)(x+4)	$(2 x - 1) (x + 4)$
159708	Solve the Inequality for x	x^2-4<0	$x^{2} - 4 < 0$
159709	Graph	y=f(2)	$y = f (2)$
159710	Solve for n	-n/5=-2	$- \frac{n}{5} = - 2$
159711	Evaluate	4pi(3)^2	$4 π {(3)}^{2}$
159712	Find the x and y Intercepts	y-3x+2	$y - 3 x + 2$
159713	Evaluate	8-8/2+7^2	$8 - \frac{8}{2} + 7^{2}$
159714	Solve the Inequality for x	((x+3)(x-2))/((x+7)^2)>=0	$\frac{(x + 3) (x - 2)}{{(x + 7)}^{2}} \geq 0$
159715	Evaluate	(f+g)(3)	$(f + g) (3)$
159716	Solve for g	h/g=(4R)/t	$\frac{h}{g} = \frac{4 R}{t}$
159717	Solve for x	3/ax-4=20	$\frac{3}{a} x - 4 = 20$
159718	Simplify	-6+4q+(-6q)	$- 6 + 4 q + (- 6 q)$
159719	Solve for t	\|t/2\|=6	$\| \frac{t}{2} \| = 6$
159720	Simplify	(x/y)/z	$\frac{\frac{x}{y}}{z}$
159721	Solve the Inequality for x	(x-1)/(x^2-4)<0	$\frac{x - 1}{x^{2} - 4} < 0$
159722	Solve for θ	cos(2theta)=-( square root of 3)/2	$\cos (2 θ) = - \frac{\sqrt{3}}{2}$
159723	Convert to Logarithmic Form	4(8^x)=64	$4 (8^{x}) = 64$
159724	Solve for y	6x+y=4x+11y	$6 x + y = 4 x + 11 y$
159725	Solve for a	g=ca-b	$g = c a - b$
159726	Solve for d	1/3hd=g	$\frac{1}{3} h d = g$
159727	Graph Using a Table of Values	2^x	$2^{x}$
159728	Solve for a	b(a+f)=M	$b (a + f) = M$
159729	Solve for x	1/x=1/(5x)-(x-1)/(5x)	$\frac{1}{x} = \frac{1}{5 x} - \frac{x - 1}{5 x}$
159730	Solve for x	x^2=x+2	$x^{2} = x + 2$
159731	Describe the Transformation	y=f(x-2)	$y = f (x - 2)$
159732	Solve for x	64^(7x-8)=1	$64^{7 x - 8} = 1$
159733	Simplify	( square root of 10+2 square root of 8)( square root of 10-2 square root of 8)	$(\sqrt{10} + 2 \sqrt{8}) (\sqrt{10} - 2 \sqrt{8})$
159734	Solve for x	3^(2x)=27^4	$3^{2 x} = 27^{4}$
159735	Find the x and y Intercepts	f(x)=(-3x+3)/(x^2-1)	$f (x) = \frac{- 3 x + 3}{x^{2} - 1}$
159736	Solve for r	-7q+12r=3q-4r	$- 7 q + 12 r = 3 q - 4 r$
159737	Solve for b	6b-5Q=r^3	$6 b - 5 Q = r^{3}$
159738	Simplify	(x^4y^7)/( cube root of x^10y^4)	$\frac{x^{4} y^{7}}{\sqrt[3]{x^{10} y^{4}}}$
159739	Solve the Inequality for n	8n+2<=8n-9	$8 n + 2 \leq 8 n - 9$
159740	Find All Complex Solutions	cot(theta)- square root of 3=0	$\cot (θ) - \sqrt{3} = 0$
159741	Simplify	(16 square root of x^3)^(1/4)	${(16 \sqrt{x^{3}})}^{\frac{1}{4}}$
159742	Find the Inverse	y = cube root of x	$y = \sqrt[3]{x}$
159743	Evaluate	(16^(5/4)*16^(1/4))/((16^(1/2))^2)	$\frac{16^{\frac{5}{4}} \cdot 16^{\frac{1}{4}}}{{(16^{\frac{1}{2}})}^{2}}$
159744	Simplify	(2/3)^-1	${(\frac{2}{3})}^{- 1}$
159745	Simplify	3/(x-1)*8/(x-1)	$\frac{3}{x - 1} \cdot \frac{8}{x - 1}$
159746	Graph	x=-2y^2+3	$x = - 2 y^{2} + 3$
159747	Solve for x	-2/7+5/(x-3)=-8/(x-3)	$- \frac{2}{7} + \frac{5}{x - 3} = - \frac{8}{x - 3}$
159748	Solve for x	-1/(x+3)-6/(x+1)=-2/(x^2+4x+3)	$- \frac{1}{x + 3} - \frac{6}{x + 1} = - \frac{2}{x^{2} + 4 x + 3}$
159749	Solve the Rational Equation for x	2/(x^2-1)-1/(x-1)=1/2	$\frac{2}{x^{2} - 1} - \frac{1}{x - 1} = \frac{1}{2}$
159750	Simplify	cot(theta)^2*sec(theta)^2	$\cot^{2} (θ) \cdot \sec^{2} (θ)$
159751	Solve for x	1/3(5x-9)=2(1/3x+6)	$\frac{1}{3} (5 x - 9) = 2 (\frac{1}{3} x + 6)$
159752	Solve for B	h=D^2(B-5g)	$h = D^{2} (B - 5 g)$
159753	Solve for m	m+2m-6=-12+2m	$m + 2 m - 6 = - 12 + 2 m$
159754	Solve for x	3(cx-7)=9	$3 (c x - 7) = 9$
159755	Solve for y₁	m=(y_2-y_1)/(x_2-x_1)	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
159756	Evaluate	(1/2)÷(( square root of 3)/2)	$\frac{1}{2} \div \frac{\sqrt{3}}{2}$
159757	Solve for x	6^(2x+2)*6^(3x)=1	$6^{2 x + 2} \cdot 6^{3 x} = 1$
159758	Simplify	8i-9i6i	$8 i \cdot - 9 i \cdot 6 i$
159759	Graph	y=3/2x^2-6x	$y = \frac{3}{2} x^{2} - 6 x$
159760	Simplify	( square root of 2x^3+ square root of 12x)(2 square root of 10x^5+ square root of 6x^2)	$(\sqrt{2 x^{3}} + \sqrt{12 x}) (2 \sqrt{10 x^{5}} + \sqrt{6 x^{2}})$
159761	Solve for d	9d-3d+2d-7d+2d=18	$9 d - 3 d + 2 d - 7 d + 2 d = 18$
159762	Evaluate	2^8-10-15÷3	$2^{8} - 10 - 15 \div 3$
159763	Solve for A	1/2A+N=d	$\frac{1}{2} A + N = d$
159764	Solve for a	a/(r^3)+h=d	$\frac{a}{r^{3}} + h = d$
159765	Combine Like Terms	n+4-9-5n	$n + 4 - 9 - 5 n$
159766	Solve for n	(2x^9y^n)(4x^2y^10)=8x^11y^20	$(2 x^{9} y^{n}) (4 x^{2} y^{10}) = 8 x^{11} y^{20}$
159767	Write as a Single Logarithm	3 natural log of 9-2 natural log of 6- natural log of 3	$3 \ln (9) - 2 \ln (6) - \ln (3)$
159768	Solve for b	f=-r+4/3b	$f = - r + \frac{4}{3} b$
159769	Solve the Inequality for w	w/2+4>5	$\frac{w}{2} + 4 > 5$
159770	Solve for x	y=ax-b	$y = a x - b$
159771	Evaluate	-8(5-(10-4(5-8)))	$- 8 (5 - (10 - 4 (5 - 8)))$
159772	Find the Exact Value	cos(arctan(x))	$\cos (\arctan (x))$
159773	Simplify	2ab( cube root of 192ab^2)-5 cube root of 81a^4b^5	$2 a b (\sqrt[3]{192 a b^{2}}) - 5 \sqrt[3]{81 a^{4} b^{5}}$
159774	Solve for k	7k-3k-4k+4k+k=20	$7 k - 3 k - 4 k + 4 k + k = 20$
159775	Evaluate	7^2+3(4^2+3+2)	$7^{2} + 3 (4^{2} + 3 + 2)$
159776	Solve Using the Quadratic Formula	9e-7=7e-11	$9 e - 7 = 7 e - 11$
159777	Solve for x	-fx-g=h	$- f x - g = h$
159778	Solve for r	4(x-3)-r+2x=5(3x-7)-9x	$4 (x - 3) - r + 2 x = 5 (3 x - 7) - 9 x$
159779	Find the Sum and Product of the Roots of the Quadratic Equation	2x^2-3x=0	$2 x^{2} - 3 x = 0$
159780	Solve for n	n^3=16	$n^{3} = 16$
159781	Simplify	(- square root of x-4)^2	${(- \sqrt{x - 4})}^{2}$
159782	Solve for x	g=x-c+y	$g = x - c + y$
159783	Solve for a	1/3d^3a=b	$\frac{1}{3} d^{3} a = b$
159784	Solve the System of Inequalities	-18x+21>-15 OR 20x-13>=27	$- 18 x + 21 > - 15$ OR $20 x - 13 \geq 27$
159785	Solve for x	(x+yi)+(4+9i)=9-4i	$(x + y i) + (4 + 9 i) = 9 - 4 i$
159786	Graph Using a Table of Values	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
159787	Simplify	((x^4)/(7^-8))^-7	${(\frac{x^{4}}{7^{- 8}})}^{- 7}$
159788	Find All Complex Solutions	sin(x)^2+sin(x)=0	$\sin^{2} (x) + \sin (x) = 0$
159789	Solve for n	(3^3)^2=n^6	${(3^{3})}^{2} = n^{6}$
159790	Solve for x	square root of x+15- square root of x-15=10	$\sqrt{x + 15} - \sqrt{x - 15} = 10$
159791	Solve for x	1/2+1/(2x)=(x^2-7x+10)/(4x)	$\frac{1}{2} + \frac{1}{2 x} = \frac{x^{2} - 7 x + 10}{4 x}$
159792	Solve for a	G(a+h)=M	$G (a + h) = M$
159793	Solve for d	n=5(m^2+d)	$n = 5 (m^{2} + d)$
159794	Solve for b	b/(m^3)+r=t	$\frac{b}{m^{3}} + r = t$
159795	Simplify	((x^2-7x-18)/(x+1))÷((x^2+2x)/(x+1))	$\frac{x^{2} - 7 x - 18}{x + 1} \div \frac{x^{2} + 2 x}{x + 1}$
159796	Solve for d	f=g+6/5d	$f = g + \frac{6}{5} d$
159797	Solve for x	x/(x+3)=3/((x+2)(x+3))	$\frac{x}{x + 3} = \frac{3}{(x + 2) (x + 3)}$
159798	Solve for a	1/6f^3a=d	$\frac{1}{6} f^{3} a = d$
159799	Graph Using a Table of Values	f(x)=x^2+1	$f (x) = x^{2} + 1$
159800	Simplify	(4x^2-y^2)^2	${(4 x^{2} - y^{2})}^{2}$