Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9301	Evaluate	8-4*3(-2)^3	$8 - 4 \cdot 3 {(- 2)}^{3}$
9302	Find the Roots (Zeros)	x^4-5x^3+x^2+3x=0	$x^{4} - 5 x^{3} + x^{2} + 3 x = 0$
9303	Solve the Inequality for x	1/3(x-6)>2	$\frac{1}{3} (x - 6) > 2$
9304	Simplify	1/(-2/3)	$\frac{1}{- \frac{2}{3}}$
9305	Simplify	4n(2n^3p^2-3np^2+5n)+4p(6n^2p-2np^2+3p)	$4 n (2 n^{3} p^{2} - 3 n p^{2} + 5 n) + 4 p (6 n^{2} p - 2 n p^{2} + 3 p)$
9306	Solve for x	4x^(6/5)-16x^(4/5)=0	$4 x^{\frac{6}{5}} - 16 x^{\frac{4}{5}} = 0$
9307	Write in Exponential Form	square root of x^3 cube root of y	$\sqrt{x^{3}} \sqrt[3]{y}$
9308	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,6) and has a slope of 1 ?	What is the equation of the line that passes through the point $(- 1, 6)$ and has a slope of $1$ ?
9309	Find the Exact Value	arcsin(cos(-pi/4))	$\arcsin (\cos (- \frac{π}{4}))$
9310	Find the Inverse	f(x)=1/2(x+3)^2-4	$f (x) = \frac{1}{2} {(x + 3)}^{2} - 4$
9311	Simplify	x+5<=-4	$x + 5 \leq - 4$
9312	Evaluate	5/8+(3/4)÷(-2/3)-5/6	$\frac{5}{8} + \frac{3}{4} \div \frac{- 2}{3} - \frac{5}{6}$
9313	Simplify	(3c^2d(2c^3d^5))/(15c^4d^2)	$\frac{3 c^{2} d (2 c^{3} d^{5})}{15 c^{4} d^{2}}$
9314	Find the Maximum/Minimum Value	xe^x	$x e^{x}$
9315	Write the Fraction in Simplest Form	(4 fourth root of y^5)^(1/2)	${(4 \sqrt[4]{y^{5}})}^{\frac{1}{2}}$
9316	Solve for x	square root of 3x-3 = square root of x+12	$\sqrt{3 x - 3} = \sqrt{x + 12}$
9317	Write in Exponential Form	fourth root of fifth root of x	$\sqrt[4]{\sqrt[5]{x}}$
9318	Simplify the Radical Expression	(2^(2/3)*16^(2/3))/(4^(2/3))	$\frac{2^{\frac{2}{3}} \cdot 16^{\frac{2}{3}}}{4^{\frac{2}{3}}}$
9319	Solve the Inequality for t	24<=-6t	$24 \leq - 6 t$
9320	Subtract	(6y^2+8y^4-5y)-(9y^4-7y+2y^2)	$(6 y^{2} + 8 y^{4} - 5 y) - (9 y^{4} - 7 y + 2 y^{2})$
9321	Simplify the Radical Expression	( square root of 40x^5)/( square root of 10x)	$\frac{\sqrt{40 x^{5}}}{\sqrt{10 x}}$
9322	Simplify	20+13x-5+5x+9	$20 + 13 x - 5 + 5 x + 9$
9323	Simplify	3/4x+9(1/4x+2)	$\frac{3}{4} x + 9 (\frac{1}{4} x + 2)$
9324	Solve the Rational Equation for x	square root of 11-x = square root of x-7	$\sqrt{11 - x} = \sqrt{x - 7}$
9325	Simplify	x-9/(x-3)-3	$x - \frac{9}{x - 3} - 3$
9326	Solve for x	2^x=2^(2x)-12	$2^{x} = 2^{2 x} - 12$
9327	Simplify	3x+2x^2-4x+3x^2-5x	$3 x + 2 x^{2} - 4 x + 3 x^{2} - 5 x$
9328	Evaluate	3^( log base 3 of 5- log base 3 of 4)	$3^{\log_{3} (5) - \log_{3} (4)}$
9329	Simplify the Radical Expression	cube root of square root of 100	$\sqrt[3]{\sqrt{100}}$
9330	Simplify	(1/4x-3)+(3/16x+5)	$(\frac{1}{4} x - 3) + (\frac{3}{16} x + 5)$
9331	Solve Using the Quadratic Formula	4(5x+9)^2-17=7	$4 {(5 x + 9)}^{2} - 17 = 7$
9332	Graph	y<=1/2x+2 y>=5x	$y \leq \frac{1}{2} x + 2$ $y \geq 5 x$
9333	Find the LCM	x^5-x , x^5-x^2 , x^5-x^3	$x^{5} - x$ , $x^{5} - x^{2}$ , $x^{5} - x^{3}$
9334	Evaluate the Limit	limit as x approaches negative infinity of (4x^3+6x^2-2)/(5-4x+2x^2)	$lim_{x \to - \infty} \frac{4 x^{3} + 6 x^{2} - 2}{5 - 4 x + 2 x^{2}}$
9335	Convert to a Simplified Fraction	((3^5)^2)/(3^-2)	$\frac{{(3^{5})}^{2}}{3^{- 2}}$
9336	Simplify	((2v)/(x^4))(-(4x^4)/(v^6))	$(\frac{2 v}{x^{4}}) (- \frac{4 x^{4}}{v^{6}})$
9337	Evaluate	x^(1/2)*x^(1/2)	$x^{\frac{1}{2}} \cdot x^{\frac{1}{2}}$
9338	Simplify	2a^(1/m)*4^ma^(5+m)	$2 a^{\frac{1}{m}} \cdot 4^{m} a^{5 + m}$
9339	Evaluate the Integral	integral from 0 to 3 of 3/2 square root of x+1 with respect to x	$\int_{0}^{3} \frac{3}{2} \sqrt{x + 1} d x$
9340	Solve for x	F=kx-kx_0 for x	$F = k x - k x_{0}$ for $x$
9341	Find the Exact Value	tan(450 degrees )	$\tan (450 °)$
9342	Solve for θ in Radians	csc(theta)=2/( square root of 3)	$\csc (θ) = \frac{2}{\sqrt{3}}$
9343	Simplify	(5/4+( square root of 5)/2i)^2	${(\frac{5}{4} + \frac{\sqrt{5}}{2} i)}^{2}$
9344	Solve for x	15(x-1)=-5(3-x)+10x	$15 (x - 1) = - 5 (3 - x) + 10 x$
9345	Solve for d	V=pi/6d^3	$V = \frac{π}{6} d^{3}$
9346	Simplify the Radical Expression	((z^4)/(6^2))^-3	${(\frac{z^{4}}{6^{2}})}^{- 3}$
9347	Simplify	(2x+28)/3*12/(4x+56)	$\frac{2 x + 28}{3} \cdot \frac{12}{4 x + 56}$
9348	Find Where the Mean Value Theorem is Satisfied	f(x)=-2x^3+6x-2 , [-2,2]	$f (x) = - 2 x^{3} + 6 x - 2$ , $[- 2, 2]$
9349	Find the Cotangent Given the Point	((2 square root of 13)/13,-(3 square root of 13)/13)	$(\frac{2 \sqrt{13}}{13}, - \frac{3 \sqrt{13}}{13})$
9350	Simplify the Radical Expression	fourth root of 144	$\sqrt[4]{144}$
9351	Graph	f(x)=-2 log base 2 of -x-6-5	$f (x) = - 2 \log_{2} (- x - 6) - 5$
9352	Solve for x	x3/2=8	$x \frac{3}{2} = 8$
9353	Find the Product	-3x(x^2-7x-6)	$- 3 x (x^{2} - 7 x - 6)$
9354	Find the Exact Value	sin(pi/3)cos(pi/4)-tan(pi/4)	$\sin (\frac{π}{3}) \cos (\frac{π}{4}) - \tan (\frac{π}{4})$
9355	Simplify	((x^8y)/(x^5y))^2	${(\frac{x^{8} y}{x^{5} y})}^{2}$
9356	Simplify	cube root of -500/(x^12)	$\sqrt[3]{\frac{- 500}{x^{12}}}$
9357	Evaluate	e^15=x	$e^{15} = x$
9358	Simplify	(x^3-y^3)/(y-x)	$\frac{x^{3} - y^{3}}{y - x}$
9359	Integrate Using u-Substitution	integral of 1/(x^2) with respect to x	$\int \frac{1}{x^{2}} d x$
9360	Find the Inflection Points	f(x)=-1/6x^6-x^5-5/3x^4	$f (x) = - \frac{1}{6} x^{6} - x^{5} - \frac{5}{3} x^{4}$
9361	Simplify	(-4+ square root of 32)/(-2(5))	$\frac{- 4 + \sqrt{32}}{- 2 (5)}$
9362	Find dy/dx	y=((x^2)/(6x^3-6))^5	$y = {(\frac{x^{2}}{6 x^{3} - 6})}^{5}$
9363	Solve for C	C(r)=2pir	$C (r) = 2 π r$
9364	Rationalize the Denominator	( square root of 14)/( square root of 5-2)	$\frac{\sqrt{14}}{\sqrt{5} - 2}$
9365	Evaluate the Integral	integral of 3x(3x+2)(4x-1) with respect to x	$\int 3 x (3 x + 2) (4 x - 1) d x$
9366	Simplify	((x^3)/(x^0))^0	${(\frac{x^{3}}{x^{0}})}^{0}$
9367	Solve the Function Operation	f(x)=(x-7)^3 ; find f^-1(x)	$f (x) = {(x - 7)}^{3}$ ; find $f^{- 1} (x)$
9368	Simplify	(3x-1)(4x+3)(x+1)	$(3 x - 1) (4 x + 3) (x + 1)$
9369	Find the Derivative - d/dx	y=arctanh(1-2x)	$y = arctanh (1 - 2 x)$
9370	Solve for x	6x^3=-6	$6 x^{3} = - 6$
9371	Solve for a	4a-4=8+a	$4 a - 4 = 8 + a$
9372	Simplify	(x^-1-y^-1)^-1((xy)/(x-y))^-1	${(x^{- 1} - y^{- 1})}^{- 1} {(\frac{x y}{x - y})}^{- 1}$
9373	Simplify	((4^-6)/(4^2))^4	${(\frac{4^{- 6}}{4^{2}})}^{4}$
9374	Solve for x	(x-x)/5=1	$\frac{x - x}{5} = 1$
9375	Simplify	fifth root of -1024/243	$\sqrt[5]{\frac{- 1024}{243}}$
9376	Solve the Function Operation	Given g(x)=-3x+3 ; find g(-2)	Given $g (x) = - 3 x + 3$ ; find $g (- 2)$
9377	Find the Domain and Range	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
9378	Find the Holes in the Graph	(-x+3)/(x-3)	$\frac{- x + 3}{x - 3}$
9379	Simplify	cube root of 5a^2* cube root of 2a	$\sqrt[3]{5 a^{2}} \cdot \sqrt[3]{2 a}$
9380	Solve for x	x^3-5x^2+x-5=x^2+1	$x^{3} - 5 x^{2} + x - 5 = x^{2} + 1$
9381	Simplify	(4x^(2/3))/(5x^(1/2))	$\frac{4 x^{\frac{2}{3}}}{5 x^{\frac{1}{2}}}$
9382	Write the Fraction in Simplest Form	(4j^7)/(5(j^2)^3)	$\frac{4 j^{7}}{5 {(j^{2})}^{3}}$
9383	Simplify	( square root of 11-5)(5- square root of 11)	$(\sqrt{11} - 5) (5 - \sqrt{11})$
9384	Graph	y=cot(-x)	$y = \cot (- x)$
9385	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9+6x^2+x^5+7x^3-2x	$f (x) = 9 + 6 x^{2} + x^{5} + 7 x^{3} - 2 x$
9386	Find the End Behavior	f(x)=800x^2-480x^3+2x^6-28x^5+160x^4+256-704x	$f (x) = 800 x^{2} - 480 x^{3} + 2 x^{6} - 28 x^{5} + 160 x^{4} + 256 - 704 x$
9387	Simplify	-12<=44+x	$- 12 \leq 44 + x$
9388	Solve for y	y square root of y+1=0	$y \sqrt{y + 1} = 0$
9389	Simplify	((r^2s)/(rs^3t))^3	${(\frac{r^{2} s}{r s^{3} t})}^{3}$
9390	Simplify	(2(3x)^2)/(3x^3)	$\frac{2 {(3 x)}^{2}}{3 x^{3}}$
9391	Simplify the Radical Expression	5 square root of 27-2 cube root of 27+ cube root of 27	$5 \sqrt{27} - 2 \sqrt[3]{27} + \sqrt[3]{27}$
9392	Evaluate Using the Given Value	3(m-4)-n(m-4) if m=5 and n=3	$3 \cdot (m - 4) - n \cdot (m - 4)$ if $m = 5$ and $n = 3$
9393	Find the GCF	4y , 12y	$4 y$ , $12 y$
9394	Divide Using Long Polynomial Division	(2x^3-10x^2+16x-5)÷(x^2-6x+8)	$(2 x^{3} - 10 x^{2} + 16 x - 5) \div (x^{2} - 6 x + 8)$
9395	Solve for x	square root of 2x-7=2x	$\sqrt{2 x - 7} = 2 x$
9396	Evaluate	log base 5 of 49* log base 8 of 5* log base 9 of 8* log base 7 of 9	$\log_{5} (49) \cdot \log_{8} (5) \cdot \log_{9} (8) \cdot \log_{7} (9)$
9397	Simplify	(2 square root of 12a)(3 square root of 2a)	$(2 \sqrt{12 a}) (3 \sqrt{2 a})$
9398	Write in Standard Form	y=1/2(x-2)^2-4	$y = \frac{1}{2} {(x - 2)}^{2} - 4$
9399	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-6x^2+3x+6	$f (x) = - 6 x^{2} + 3 x + 6$
9400	Simplify	(n^5)/((-2n^4)^3)	$\frac{n^{5}}{{(- 2 n^{4})}^{3}}$