Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9001	Solve by Graphing	y=3/5x+7 y=1/5x+5	$y = \frac{3}{5} x + 7$ $y = \frac{1}{5} x + 5$
9002	Simplify	4/7*14/(8(y-2))	$\frac{4}{7} \cdot \frac{14}{8 (y - 2)}$
9003	Evaluate	(4x^2+8)+(-8x^2-5x+2)	$(4 x^{2} + 8) + (- 8 x^{2} - 5 x + 2)$
9004	Find the Exact Value	tan(-360 degrees )	$\tan (- 360 °)$
9005	Solve the System of Equations	5x=4y+8 3y=3x-3	$5 x = 4 y + 8$ $3 y = 3 x - 3$
9006	Solve for x	3(2x-1)+2=2(2-x)	$3 (2 x - 1) + 2 = 2 (2 - x)$
9007	Evaluate the Integral	integral of (2/3x^5-5/2x+1/2) with respect to x	$\int (\frac{2}{3} x^{5} - \frac{5}{2} x + \frac{1}{2}) d x$
9008	Simplify	2/3(9x-15)-(-6x+2)	$\frac{2}{3} (9 x - 15) - (- 6 x + 2)$
9009	Integrate Using u-Substitution	integral of x/((x^2+1)^2) with respect to x	$\int \frac{x}{{(x^{2} + 1)}^{2}} d x$
9010	Simplify	(4c+1)-(5ab+d)	$(4 c + 1) - (5 a b + d)$
9011	Combine Like Terms	(5p^2-3)+(2p^2-3p^3)	$(5 p^{2} - 3) + (2 p^{2} - 3 p^{3})$
9012	Determine if a Polynomial	b/3+6b^2+4 square root of b	$\frac{b}{3} + 6 b^{2} + 4 \sqrt{b}$
9013	Describe the Transformation	f(x)=-1/3 square root of x+4	$f (x) = - \frac{1}{3} \sqrt{x} + 4$
9014	Simplify	-4+x<=9	$- 4 + x \leq 9$
9015	Solve the Inequality for s	2s+5>=49	$2 s + 5 \geq 49$
9016	Evaluate	(-3x)^-3	${(- 3 x)}^{- 3}$
9017	Evaluate	3/2 log base 27 of 3+ log base 7 of 49-3/2 log base 6 of cube root of 6	$\frac{3}{2} \log_{27} (3) + \log_{7} (49) - \frac{3}{2} \log_{6} (\sqrt[3]{6})$
9018	Find Where Increasing/Decreasing	f(x) = cube root of x-2+7	$f (x) = \sqrt[3]{x - 2} + 7$
9019	Simplify	-4x+6y-2+5x-5y+2	$- 4 x + 6 y - 2 + 5 x - 5 y + 2$
9020	Simplify	4a32b	$4 a \cdot 3 \cdot 2 b$
9021	Find the Inflection Points	f(x)=1/10x^5-x^4	$f (x) = \frac{1}{10} x^{5} - x^{4}$
9022	Simplify	(4y)/(3y^2+6y)-1/(y+2)	$\frac{4 y}{3 y^{2} + 6 y} - \frac{1}{y + 2}$
9023	Solve for x	2\|x-3\|+6>10	$2 \| x - 3 \| + 6 > 10$
9024	Solve for x	(6x+8)^(1/2)-3x=0	${(6 x + 8)}^{\frac{1}{2}} - 3 x = 0$
9025	Evaluate	(6x^-2)/(30x^-8)	$\frac{6 x^{- 2}}{30 x^{- 8}}$
9026	Solve for x	-1+7/4=(2x-7)/(4x)	$- 1 + \frac{7}{4} = \frac{2 x - 7}{4 x}$
9027	Simplify	(( square root of 7-3i)/2)*(( square root of 7+3i)/4)	$(\frac{\sqrt{7} - 3 i}{2}) \cdot (\frac{\sqrt{7} + 3 i}{4})$
9028	Simplify	( square root of xy)/( square root of x+ square root of y)	$\frac{\sqrt{x y}}{\sqrt{x} + \sqrt{y}}$
9029	Solve for x	x(b+7)=9	$x (b + 7) = 9$
9030	Simplify	6-(-5)+2+(-4)	$6 - (- 5) + 2 + (- 4)$
9031	Simplify	(3-4 square root of 10)( square root of 5+2 square root of 3)	$(3 - 4 \sqrt{10}) (\sqrt{5} + 2 \sqrt{3})$
9032	Solve the Function Operation	Rearrange the equation to isolate a (a+b/c)(d-e)=f	Rearrange the equation to isolate $a$ $(a + \frac{b}{c}) (d - e) = f$
9033	Simplify the Radical Expression	(7 square root of 6)(-5 square root of 30)	$(7 \sqrt{6}) (- 5 \sqrt{30})$
9034	Graph	graph 3x+2y=12	graph $3 x + 2 y = 12$
9035	Solve for x	square root of x+3 = square root of 2x+2	$\sqrt{x} + 3 = \sqrt{2 x + 2}$
9036	Write the Fraction in Simplest Form	(3(x^2)^3)/(3x^3)	$\frac{3 {(x^{2})}^{3}}{3 x^{3}}$
9037	Add	(x+5)+(4x-7)	$(x + 5) + (4 x - 7)$
9038	Solve for T	I/T=Pr	$\frac{I}{T} = P r$
9039	Simplify	(2xy^2)/(x^5y^3)*(5xy^3)/(-30y^-2)	$\frac{2 x y^{2}}{x^{5} y^{3}} \cdot \frac{5 x y^{3}}{- 30 y^{- 2}}$
9040	Find the Antiderivative	2cos(x/2)^2	$2 \cos^{2} (\frac{x}{2})$
9041	Multiply	(45a^3)/(a^2-4)*(a^2+2a)/(30a^2)	$\frac{45 a^{3}}{a^{2} - 4} \cdot \frac{a^{2} + 2 a}{30 a^{2}}$
9042	Simplify	square root of (xy)/(2ab)	$\sqrt{\frac{x y}{2 a b}}$
9043	Convert to Radical Form	(6^(1/2)*4^(1/3))^2	${(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})}^{2}$
9044	Find the Quotient	(2x^2+x-28)/(x+4)	$\frac{2 x^{2} + x - 28}{x + 4}$
9045	Convert to a Decimal	sin(60)deg	$\sin (60)$ degrees
9046	Write in Exponential Form	cube root of 5+ fifth root of 5	$\sqrt[3]{5} + \sqrt[5]{5}$
9047	Add	4x^2-7+6x^2-5	$4 x^{2} - 7 + 6 x^{2} - 5$
9048	Evaluate the Integral	integral of (5xe^(3x^2))/( square root of 2-3e^(3x^2)) with respect to x	$\int \frac{5 x e^{3 x^{2}}}{\sqrt{2 - 3 e^{3 x^{2}}}} d x$
9049	Graph	y=2-1/4sin(2)(x-pi/4)	$y = 2 - \frac{1}{4} \sin (2) (x - \frac{π}{4})$
9050	Solve for f	-4/5f+1=-13	$- \frac{4}{5} f + 1 = - 13$
9051	Find the Inverse	m(x)=(x+5)/2	$m (x) = \frac{x + 5}{2}$
9052	Multiply	square root of xy^3* square root of x^2y^4	$\sqrt{x y^{3}} \cdot \sqrt{x^{2} y^{4}}$
9053	Simplify	-4b+(-9k)-6-3b+12	$- 4 b + (- 9 k) - 6 - 3 b + 12$
9054	Simplify	5(1/2x-4)+1/2x	$5 (\frac{1}{2} x - 4) + \frac{1}{2} x$
9055	Find the x and y Intercepts	(4x^2-16)/(-5x+10)	$\frac{4 x^{2} - 16}{- 5 x + 10}$
9056	Solve for c	9^(3c+1)=27^(3c-1)	$9^{3 c + 1} = 27^{3 c - 1}$
9057	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-8x-10+x^5+3x^3	$f (x) = - 8 x - 10 + x^{5} + 3 x^{3}$
9058	Graph Using a Table of Values	f(x)=1/2*2^x-6	$f (x) = \frac{1}{2} \cdot 2^{x} - 6$
9059	Solve for x	(x-1)^3=y	${(x - 1)}^{3} = y$
9060	Evaluate	x+9=18+-2x	$x + 9 = 18 + - 2 x$
9061	Graph	1/3x+5=-2x-2	$\frac{1}{3} x + 5 = - 2 x - 2$
9062	Evaluate the Integral	integral from e to infinity of 1/(x( natural log of 2x)^3) with respect to x	$\int_{e}^{\infty} \frac{1}{x \ln^{3} (2 x)} d x$
9063	Solve for x	e^( natural log of x+1)=2	$e^{\ln (x) + 1} = 2$
9064	Solve for x	3/(x+3)+(2x+7)/(x-3)=x/(x-3)	$\frac{3}{x + 3} + \frac{2 x + 7}{x - 3} = \frac{x}{x - 3}$
9065	Find the Derivative - d/dx	y=2csc(1-3x)	$y = 2 \csc (1 - 3 x)$
9066	Simplify	( sixth root of 4x)/( sixth root of 16x^5)	$\frac{\sqrt[6]{4 x}}{\sqrt[6]{16 x^{5}}}$
9067	Find the Antiderivative	(2x)/(1+x^2)	$\frac{2 x}{1 + x^{2}}$
9068	Graph	graph 3x-4y=24	graph $3 x - 4 y = 24$
9069	Find the Reference Angle	cos(pi/4)	$\cos (\frac{π}{4})$
9070	Simplify	2^-2*3^-1	$2^{- 2} \cdot 3^{- 1}$
9071	Find the Degree, Leading Term, and Leading Coefficient	1/3x^5+x^2-x-10+3x^3	$\frac{1}{3} x^{5} + x^{2} - x - 10 + 3 x^{3}$
9072	Simplify	(3x^2y^4)/(4xy^2)	$\frac{3 x^{2} y^{4}}{4 x y^{2}}$
9073	Write in Standard Form	x/-3+y/6=1	$\frac{x}{- 3} + \frac{y}{6} = 1$
9074	Write in Standard Form	f(x)=x^4-x^3-2x^2	$f (x) = x^{4} - x^{3} - 2 x^{2}$
9075	Evaluate	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \times 10^{- 5})}{(7.8 \times 10^{- 8})}$
9076	Multiply	(xy-1)(xy+6)(xy-8)	$(x y - 1) (x y + 6) (x y - 8)$
9077	Graph	2y^2=x-4	$2 y^{2} = x - 4$
9078	Evaluate	2(3)^2-7^1+3(3)^0	$2 {(3)}^{2} - 7^{1} + 3 {(3)}^{0}$
9079	Write the Fraction in Simplest Form	((-4q^3)^2)/(-2q^9)	$\frac{{(- 4 q^{3})}^{2}}{- 2 q^{9}}$
9080	Solve for r	square root of r+1=2r	$\sqrt{r} + 1 = 2 r$
9081	Combine Like Terms	4a+b+10a-10b	$4 a + b + 10 a - 10 b$
9082	Solve for x	2x-(2(x+4)+4)=6x	$2 x - (2 (x + 4) + 4) = 6 x$
9083	Find the Antiderivative	x^2+ square root of x	$x^{2} + \sqrt{x}$
9084	Graph	2x+y>=3 y>=-2x-3	$2 x + y \geq 3$ $y \geq - 2 x - 3$
9085	Solve for x	\|4x+6\|=2x+27	$\| 4 x + 6 \| = 2 x + 27$
9086	Solve for n	-4=8m+18n	$- 4 = 8 m + 18 n$
9087	Simplify	1/3x+5(1/3x+3)	$\frac{1}{3} x + 5 (\frac{1}{3} x + 3)$
9088	Solve for x	45=-5 square root of 39-6x	$45 = - 5 \sqrt{39 - 6 x}$
9089	Solve for x	log base 4 of x+5+ log base 4 of 3x-7=2	$\log_{4} (x + 5) + \log_{4} (3 x - 7) = 2$
9090	Solve for x	cube root of 8x- cube root of 6x-2=0	$\sqrt[3]{8 x} - \sqrt[3]{6 x - 2} = 0$
9091	Simplify	((q^2r^3)/(qr^2))^5	${(\frac{q^{2} r^{3}}{q r^{2}})}^{5}$
9092	Simplify	(4x^7y^8)/(2x^4*6x^5y^3)	$\frac{4 x^{7} y^{8}}{2 x^{4} \cdot 6 x^{5} y^{3}}$
9093	Solve the Function Operation	f(x)=2/3x-2 if x<3; 4 if x=3; -(x-4)^2 if x>3 Find f(6)	$f (x) = {\begin{cases} \frac{2}{3} x - 2 & x < 3 \\ 4 & x = 3 \\ - {(x - 4)}^{2} & x > 3 \end{cases}$ Find $f (6)$
9094	Graph	y=(x+4)(x+2)(x-1)(x-3)	$y = (x + 4) (x + 2) (x - 1) (x - 3)$
9095	Simplify	(3pq)^4*(p^6q)-(2p^2q)^5	${(3 p q)}^{4} \cdot (p^{6} q) - {(2 p^{2} q)}^{5}$
9096	Simplify	(((5xy)^0)/10)^-2	${(\frac{{(5 x y)}^{0}}{10})}^{- 2}$
9097	Simplify	1/6+3 2/4	$\frac{1}{6} + 3 \frac{2}{4}$
9098	Solve for x	90=9 square root of 25x	$90 = 9 \sqrt{25 x}$
9099	Simplify	(2mn^2(3m^2n)^2)/(12m^3n^4)	$\frac{2 m n^{2} {(3 m^{2} n)}^{2}}{12 m^{3} n^{4}}$
9100	Convert to a Decimal	cos(240)deg	$\cos (240)$ degrees