Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7201	Find the Intersection	y<=-2x+5 y>=3x+3	$y \leq - 2 x + 5$ $y \geq 3 x + 3$
7202	Simplify	((4x^3y^2)/(9xy^4))^2	${(\frac{4 x^{3} y^{2}}{9 x y^{4}})}^{2}$
7203	Simplify	(3i square root of 5)^2	${(3 i \sqrt{5})}^{2}$
7204	Find Where Increasing/Decreasing	f(x)=-3/5x^5-6x^4-15x^3+50	$f (x) = - \frac{3}{5} x^{5} - 6 x^{4} - 15 x^{3} + 50$
7205	Solve the Inequality for x	12x>5(x-2)	$12 x > 5 (x - 2)$
7206	Solve the Inequality for y	2x-3y<6	$2 x - 3 y < 6$
7207	Solve the System of Equations	3x+y=-14 -2x-y=9	$3 x + y = - 14$ $- 2 x - y = 9$
7208	Graph	f(x)=(1/3x)^3-3	$f (x) = {(\frac{1}{3} x)}^{3} - 3$
7209	Solve for x	5^x-3^x=16	$5^{x} - 3^{x} = 16$
7210	Simplify	(2y+14.6m+3.8)-(34.8m+15.6+2y)	$(2 y + 14.6 m + 3.8) - (34.8 m + 15.6 + 2 y)$
7211	Solve for t	square root of 2t+15=t	$\sqrt{2 t + 15} = t$
7212	Simplify	((x^2-36)^4)/((x^2-12x+36) square root of x+6)	$\frac{{(x^{2} - 36)}^{4}}{(x^{2} - 12 x + 36) \sqrt{x + 6}}$
7213	Simplify	2/3-1/4x+1/2x-1/6	$\frac{2}{3} - \frac{1}{4} x + \frac{1}{2} x - \frac{1}{6}$
7214	Graph	x^2+y^2+4y+4=9	$x^{2} + y^{2} + 4 y + 4 = 9$
7215	Factor	yx^6+27y^7	$y x^{6} + 27 y^{7}$
7216	Solve for m	-2.4(m-2/3)=-9	$- 2.4 (m - \frac{2}{3}) = - 9$
7217	Simplify	square root of (9y^2)^2 square root of (9y^2)^2	$\sqrt{{(9 y^{2})}^{2}} \sqrt{{(9 y^{2})}^{2}}$
7218	Solve for x	(1/2)^(x^2-x-2)=1	${(\frac{1}{2})}^{x^{2} - x - 2} = 1$
7219	Find the x and y Intercepts	((x-2)^2)/9-((y-1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4} = 1$
7220	Simplify the Radical Expression	-8 square root of 108+ square root of 12	$- 8 \sqrt{108} + \sqrt{12}$
7221	Simplify	i^9i^6i^8	$i^{9} \cdot i^{6} \cdot i^{8}$
7222	Simplify the Radical Expression	(6y)/( square root of 2x)	$\frac{6 y}{\sqrt{2 x}}$
7223	Simplify	(9x^3y^2+15x^2y-6x^2)/(3x^2)	$\frac{9 x^{3} y^{2} + 15 x^{2} y - 6 x^{2}}{3 x^{2}}$
7224	Solve for w	w(4w+6)+2w=2(2w^2+7w-3)	$w (4 w + 6) + 2 w = 2 (2 w^{2} + 7 w - 3)$
7225	Find the Excluded Values	((x^2-8x+16)/(x^2+4x-21))/((-2x+8)/(x+7))	$\frac{\frac{x^{2} - 8 x + 16}{x^{2} + 4 x - 21}}{\frac{- 2 x + 8}{x + 7}}$
7226	Find the Concavity	f(x)=-1/6x^4+19x^2	$f (x) = - \frac{1}{6} x^{4} + 19 x^{2}$
7227	Simplify	7x^3 cube root of 8x^11y^6	$7 x^{3} \sqrt[3]{8 x^{11} y^{6}}$
7228	Simplify	1/22/( square root of 3)	$\frac{1}{2} \cdot \frac{2}{\sqrt{3}}$
7229	Find the y-intercept	y=x^2	$y = x^{2}$
7230	Solve the System of Equations	y=-2x-2 7y-49=-49x	$y = - 2 x - 2$ $7 y - 49 = - 49 x$
7231	Evaluate	80÷((4^2)÷(2/5))+3.75	$80 \div (4^{2} \div \frac{2}{5}) + 3.75$
7232	Find the Holes in the Graph	(x-4)/(-4x-16)	$\frac{x - 4}{- 4 x - 16}$
7233	Evaluate	(2x^3y^-3)^-2	${(2 x^{3} y^{- 3})}^{- 2}$
7234	Solve by Substitution	2x-3=y+5x^2 y=-3x-3	$2 x - 3 = y + 5 x^{2}$ $y = - 3 x - 3$
7235	Solve the Inequality for x	2^(3x+8)>=8	$2^{3 x + 8} \geq 8$
7236	Write in Standard Form	5-y-1/2x=0	$5 - y - \frac{1}{2} x = 0$
7237	Solve the Inequality for b	1/2b+2<=8	$\frac{1}{2} b + 2 \leq 8$
7238	Solve for x	1/5x-1/6(x-5)=6x	$\frac{1}{5} x - \frac{1}{6} (x - 5) = 6 x$
7239	Solve for x	(3x+5)/x-(x+7)/(5x)=4	$\frac{3 x + 5}{x} - \frac{x + 7}{5 x} = 4$
7240	Solve for x	-4 square root of 43-3x+18=-2	$- 4 \sqrt{43 - 3 x} + 18 = - 2$
7241	Simplify	x/25>5	$\frac{x}{25} > 5$
7242	Divide	(2p^3+2p^2+8p)÷8p	$(2 p^{3} + 2 p^{2} + 8 p) \div 8 p$
7243	Solve for x	square root of x+7 = square root of 4x+44	$\sqrt{x} + 7 = \sqrt{4 x + 44}$
7244	Solve by Factoring	v^3-2v^2-16v=-32	$v^{3} - 2 v^{2} - 16 v = - 32$
7245	Find the Excluded Values	(2a^2+10a)/(3a^2+15a)	$\frac{2 a^{2} + 10 a}{3 a^{2} + 15 a}$
7246	Find dy/dx	y=tan(2x)	$y = \tan (2 x)$
7247	Solve for x	(3x-1)/2=(2x)/3-1	$\frac{3 x - 1}{2} = \frac{2 x}{3} - 1$
7248	Find the Roots (Zeros)	x^3+x^2+x=0	$x^{3} + x^{2} + x = 0$
7249	Simplify	1/( square root of x+ square root of x-5)	$\frac{1}{\sqrt{x} + \sqrt{x - 5}}$
7250	Find the Maximum/Minimum Value	x^5+x^4	$x^{5} + x^{4}$
7251	Add	(7y^2+2y-3)+(2-4y+5y^2)	$(7 y^{2} + 2 y - 3) + (2 - 4 y + 5 y^{2})$
7252	Solve for x	(2x)^(3/4)+2=10	${(2 x)}^{\frac{3}{4}} + 2 = 10$
7253	Evaluate	((-7a^2b^3c^0)/(3a^3b^4c^3))^-4	${(\frac{- 7 a^{2} b^{3} c^{0}}{3 a^{3} b^{4} c^{3}})}^{- 4}$
7254	Simplify	((x-1)^2(x^2-1))/((x-1)^2(x^2-4x-5))	$\frac{{(x - 1)}^{2} (x^{2} - 1)}{{(x - 1)}^{2} (x^{2} - 4 x - 5)}$
7255	Solve the Inequality for x	2x^2-10x+15>=3	$2 x^{2} - 10 x + 15 \geq 3$
7256	Solve for x	7^(-2x^2-6x)=49^(-10x+6)	$7^{- 2 x^{2} - 6 x} = 49^{- 10 x + 6}$
7257	Solve for d	3- square root of d-4=0	$3 - \sqrt{d - 4} = 0$
7258	Simplify	square root of x^7y^7*2 square root of 3x^3y^6	$\sqrt{x^{7} y^{7}} \cdot 2 \sqrt{3 x^{3} y^{6}}$
7259	Simplify	2/5 square root of 75+1/3 square root of 27	$\frac{2}{5} \sqrt{75} + \frac{1}{3} \sqrt{27}$
7260	Write the Fraction in Simplest Form	(12y^9)/((3y^2)^5)	$\frac{12 y^{9}}{{(3 y^{2})}^{5}}$
7261	Graph	y>x+3 y<=-1	$y > x + 3$ $y \leq - 1$
7262	Find the Excluded Values	x/(3x-6)*(x-2)/(x+9)	$\frac{x}{3 x - 6} \cdot \frac{x - 2}{x + 9}$
7263	Simplify	2/3x+(-3)+(-2)-1/3x	$\frac{2}{3} x + (- 3) + (- 2) - \frac{1}{3} x$
7264	Evaluate	49^(3x)=343^(2x+1)	$49^{3 x} = 343^{2 x + 1}$
7265	Solve the System of Equations	-x+3y-2z=1 2x-6y+4z=-2 7x-14y+21z=0	$- x + 3 y - 2 z = 1$ $2 x - 6 y + 4 z = - 2$ $7 x - 14 y + 21 z = 0$
7266	Simplify	cube root of (x-5)^6	$\sqrt[3]{{(x - 5)}^{6}}$
7267	Solve by Substitution	y=3x+3 and 2y-2x=6	$y = 3 x + 3$ and $2 y - 2 x = 6$
7268	Evaluate	(36x^4y^5)/((3xy)^2)	$\frac{36 x^{4} y^{5}}{{(3 x y)}^{2}}$
7269	Find the Derivative - d/dx	y=1/(3x^5-2x)	$y = \frac{1}{3 x^{5} - 2 x}$
7270	Solve for c	3-15c=-12c+2-17	$3 - 15 c = - 12 c + 2 - 17$
7271	Simplify	fifth root of 10^2* cube root of 10^4	$\sqrt[5]{10^{2}} \cdot \sqrt[3]{10^{4}}$
7272	Evaluate the Integral	integral of x( square root of x+2/(x^3)) with respect to x	$\int x (\sqrt{x} + \frac{2}{x^{3}}) d x$
7273	Find the x and y Intercepts	f(x)=2^(-x)-3	$f (x) = 2^{- x} - 3$
7274	Divide	((45x^4)/(3x+6))÷75x^3	$\frac{45 x^{4}}{3 x + 6} \div 75 x^{3}$
7275	Simplify	(m-n)/(mn)*(2mn)/(mn-m^2)	$\frac{m - n}{m n} \cdot \frac{2 m n}{m n - m^{2}}$
7276	Solve for q	8=2+q	$8 = 2 + q$
7277	Solve for k	2k(-3k+4)+6(k^2+10)=k(4k+8)-2k(2k+5)	$2 k (- 3 k + 4) + 6 (k^{2} + 10) = k (4 k + 8) - 2 k (2 k + 5)$
7278	Simplify	((7y-3x)(5x-1))/((5x^3+x^2)(3x-7y))	$\frac{(7 y - 3 x) (5 x - 1)}{(5 x^{3} + x^{2}) (3 x - 7 y)}$
7279	Factor	x^7y^2-xy^2	$x^{7} y^{2} - x y^{2}$
7280	Convert from Radians to Degrees	8rad	$8$ radians
7281	Multiply	3 square root of 10(5 square root of 2-6 square root of 8)	$3 \sqrt{10} (5 \sqrt{2} - 6 \sqrt{8})$
7282	Simplify	(2^(12/5)x^2)^(5/3)	${(2^{\frac{12}{5}} x^{2})}^{\frac{5}{3}}$
7283	Find the Exact Value	sec(45 degrees )tan(60 degrees )	$\sec (45 °) \tan (60 °)$
7284	Simplify the Radical Expression	2(48/3)^(-1/4)	$2 {(\frac{48}{3})}^{- \frac{1}{4}}$
7285	Factor	ax^2-ay^2+bx^2-by^2	$a x^{2} - a y^{2} + b x^{2} - b y^{2}$
7286	Determine if True	(cos(x)tan(x)-csc(x)sin(x))/(csc(x)tan(x))=(sin(x)-1)/(sec(x))	$\frac{\cos (x) \tan (x) - \csc (x) \sin (x)}{\csc (x) \tan (x)} = \frac{\sin (x) - 1}{\sec (x)}$
7287	Divide	(7x^3+x^2+x)÷(x^2+1)	$(7 x^{3} + x^{2} + x) \div (x^{2} + 1)$
7288	Solve for x	(1/x)((x-1)/2)=4	$(\frac{1}{x}) (\frac{x - 1}{2}) = 4$
7289	Find Amplitude, Period, and Phase Shift	y=3sin(pi/4x-pi/4)	$y = 3 \sin (\frac{π}{4} x - \frac{π}{4})$
7290	Find the Slope	(7,1) and (-2,3)	$(7, 1)$ and $(- 2, 3)$
7291	Evaluate	7^2+5(13-7)^2	$7^{2} + 5 {(13 - 7)}^{2}$
7292	Solve the System of Equations	5/3x-2y=-2 -x+y=2	$\frac{5}{3} x - 2 y = - 2$ $- x + y = 2$
7293	Solve for c	-6(11-2c)=7(-2-2c)	$- 6 (11 - 2 c) = 7 (- 2 - 2 c)$
7294	Evaluate	(x^5*x^3)/(x^4)	$\frac{x^{5} \cdot x^{3}}{x^{4}}$
7295	Solve for x	3 square root of x=1	$3 \sqrt{x} = 1$
7296	Solve the Inequality for x	-2<x/3+1<5	$- 2 < \frac{x}{3} + 1 < 5$
7297	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-8x^2+6+x^6+x	$f (x) = - 8 x^{2} + 6 + x^{6} + x$
7298	Solve the Inequality for x	(x^2-36)/(x-6)<=0	$\frac{x^{2} - 36}{x - 6} \leq 0$
7299	Find the Degree, Leading Term, and Leading Coefficient	x^2+6x^3-4+2x^5	$x^{2} + 6 x^{3} - 4 + 2 x^{5}$
7300	Solve for x	2^(4x)=1/32	$2^{4 x} = \frac{1}{32}$