Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2301	Write in Slope-Intercept Form	-3x+y>-5	$- 3 x + y > - 5$
2302	Solve the System of Equations	2x-3y+z=-19 5x+y-z=-7 -x+6y-z=35	$2 x - 3 y + z = - 19$ $5 x + y - z = - 7$ $- x + 6 y - z = 35$
2303	Solve the System of Inequalities	-7x+1>=22 or -10x+41>=81	$- 7 x + 1 \geq 22$ or $- 10 x + 41 \geq 81$
2304	Simplify	square root of (64x^3y)/(2x^4)	$\sqrt{\frac{64 x^{3} y}{2 x^{4}}}$
2305	Simplify	(ax+ay)/(xy^2)*(x^2y)/(3x+3y)	$\frac{a x + a y}{x y^{2}} \cdot \frac{x^{2} y}{3 x + 3 y}$
2306	Simplify	(a^2-1)/(a^3+1)*(a^2-a+1)/(a^2+2a+1)	$\frac{a^{2} - 1}{a^{3} + 1} \cdot \frac{a^{2} - a + 1}{a^{2} + 2 a + 1}$
2307	Solve for x	((3^x)^(1/2))/(3^(1/2))=3	$\frac{{(3^{x})}^{\frac{1}{2}}}{3^{\frac{1}{2}}} = 3$
2308	Simplify	(5^(2/3)*2^(3/2))^(1/2)	${(5^{\frac{2}{3}} \cdot 2^{\frac{3}{2}})}^{\frac{1}{2}}$
2309	Simplify	(3+i square root of 64)-(2+i square root of 4)	$(3 + i \sqrt{64}) - (2 + i \sqrt{4})$
2310	Simplify	(v^2-49)/(20v^3)*(4v^2-24v)/(v^2+v-42)	$\frac{v^{2} - 49}{20 v^{3}} \cdot \frac{4 v^{2} - 24 v}{v^{2} + v - 42}$
2311	Find the Derivative of the Integral	h(x) = integral from 1 to 3x+2 of t/(1+t^3) with respect to t	$h (x) = \int_{1}^{3 x + 2} \frac{t}{1 + t^{3}} d t$
2312	Graph	x<=y-4	$x \leq y - 4$
2313	Evaluate	(8+2)-(9-2^2)	$(8 + 2) - (9 - 2^{2})$
2314	Simplify	(27x^2z^6)/(-3x^2z)	$\frac{27 x^{2} z^{6}}{- 3 x^{2} z}$
2315	Graph	P(x)=(x-5)(x-2)(x)	$P (x) = (x - 5) (x - 2) (x)$
2316	Solve for u	1.8+0.2u=-0.1u	$1.8 + 0.2 u = - 0.1 u$
2317	Solve for x	(x+7)^3+8=16	${(x + 7)}^{3} + 8 = 16$
2318	Simplify	( square root of 45b+4 square root of 20b-2 square root of 125b)	$(\sqrt{45 b} + 4 \sqrt{20 b} - 2 \sqrt{125 b})$
2319	Find the Domain	f(x)=5/( square root of X-4)	$f (x) = \frac{5}{\sqrt{X - 4}}$
2320	Simplify the Radical Expression	9 cube root of 11+3 cube root of 11	$9 \sqrt[3]{11} + 3 \sqrt[3]{11}$
2321	Evaluate	3^(3^(3^3))	$3^{3^{3^{3}}}$
2322	Simplify	7^(1/4)*7^(1/2)	$7^{\frac{1}{4}} \cdot 7^{\frac{1}{2}}$
2323	Find the Product	(2p-3q^2)^3	${(2 p - 3 q^{2})}^{3}$
2324	Graph	y=6x y=8x-2	$y = 6 x$ $y = 8 x - 2$
2325	Solve for n	6(5n-6)-10=10-3n+10	$6 (5 n - 6) - 10 = 10 - 3 n + 10$
2326	Simplify	2 square root of 32a^3b^5* square root of 8a^7b^2	$2 \sqrt{32 a^{3} b^{5}} \cdot \sqrt{8 a^{7} b^{2}}$
2327	Simplify	(5x)/(2(x-3))+2/(x-3)	$\frac{5 x}{2 (x - 3)} + \frac{2}{x - 3}$
2328	Solve the Absolute Value Inequality for b	\|b+3\|-1=2	$\| b + 3 \| - 1 = 2$
2329	Find the Domain	32/y-(y+1)/(y+7)	$\frac{32}{y} - \frac{y + 1}{y + 7}$
2330	Simplify	1/4g^2(8g+12h-16gh^2)	$\frac{1}{4} g^{2} (8 g + 12 h - 16 g h^{2})$
2331	Simplify	square root of 5x^8y^2* square root of 10xy^3	$\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x y^{3}}$
2332	Simplify	square root of 49(x+2y)^10	$\sqrt{49 {(x + 2 y)}^{10}}$
2333	Find the Antiderivative	5e^x-2x^4	$5 e^{x} - 2 x^{4}$
2334	Find the Roots (Zeros)	f(x)=tan(pi/2x)	$f (x) = \tan (\frac{π}{2} x)$
2335	Simplify	i square root of 8*i square root of 2	$i \sqrt{8} \cdot i \sqrt{2}$
2336	Write as a Single Logarithm	12(1/2 log of x+y-1/6 log of x-y)	$12 (\frac{1}{2} \log (x + y) - \frac{1}{6} \log (x - y))$
2337	Simplify	((3rs^2t^4)^2)/(21r^2s^3t^11)	$\frac{{(3 r s^{2} t^{4})}^{2}}{21 r^{2} s^{3} t^{11}}$
2338	Simplify the Radical Expression	fourth root of (x^8)/(y^4)	$\sqrt[4]{\frac{x^{8}}{y^{4}}}$
2339	Simplify	-(-7x)-(-(6-5x))	$- (- 7 x) - (- (6 - 5 x))$
2340	Simplify	((a+b)^3(a-b)^-2)/((a+b)^2(a-b)^0)	$\frac{{(a + b)}^{3} {(a - b)}^{- 2}}{{(a + b)}^{2} {(a - b)}^{0}}$
2341	Find All Complex Solutions	-2cos(theta)^2+sin(theta)+1=0	$- 2 \cos^{2} (θ) + \sin (θ) + 1 = 0$
2342	Solve for h	2+18h=9h+11	$2 + 18 h = 9 h + 11$
2343	Simplify	cube root of 24+ square root of 80+6 square root of 40	$\sqrt[3]{24} + \sqrt{80} + 6 \sqrt{40}$
2344	Simplify	1/(x-4)+3/5	$\frac{1}{x - 4} + \frac{3}{5}$
2345	Evaluate	2x-31=3(x+2)	$2 x - 31 = 3 (x + 2)$
2346	Graph	y<=3/2x+2 y>-x+5	$y \leq \frac{3}{2} x + 2$ $y > - x + 5$
2347	Solve for x	8x(2x^3+3x-1)-4x^2(4x^2+6)+8=32	$8 x (2 x^{3} + 3 x - 1) - 4 x^{2} (4 x^{2} + 6) + 8 = 32$
2348	Convert to Radical Form	((4a^4)/(5b^5))^(-3/3)	${(\frac{4 a^{4}}{5 b^{5}})}^{- \frac{3}{3}}$
2349	Simplify	4x^7y^6+9x^3y*2x^4y^5	$4 x^{7} y^{6} + 9 x^{3} y \cdot 2 x^{4} y^{5}$
2350	Find the Third Derivative	3x^5+4x^4-18x^2+6x	$3 x^{5} + 4 x^{4} - 18 x^{2} + 6 x$
2351	Solve for x	16^(3x)=(2^(5x+2))(8^(2x))	$16^{3 x} = (2^{5 x + 2}) (8^{2 x})$
2352	Graph	yy<=-2x-2	$y \cdot y \leq - 2 x - 2$
2353	Simplify	11/(8x^3)-3/(2x)	$\frac{11}{8 x^{3}} - \frac{3}{2 x}$
2354	Solve for R	IR=V	$I R = V$
2355	Graph	y>=-1 5x+3y>-18	$y \geq - 1$ $5 x + 3 y > - 18$
2356	Simplify	square root of 2x+ square root of 8x- square root of 4x	$\sqrt{2 x} + \sqrt{8 x} - \sqrt{4 x}$
2357	Find the Derivative - d/dx	y=arctan( square root of x-3)	$y = \arctan (\sqrt{x - 3})$
2358	Solve for x	2-3(2x-1)=-6x+5	$2 - 3 (2 x - 1) = - 6 x + 5$
2359	Solve the Inequality for y	1.6-(3-2y)<5	$1.6 - (3 - 2 y) < 5$
2360	Graph	y<2/3x-1 y>=-4/3x+2	$y < \frac{2}{3} x - 1$ $y \geq - \frac{4}{3} x + 2$
2361	Subtract	(2x^4+x^3-3x+8)-(x^4-x^3-6x^2+7x)	$(2 x^{4} + x^{3} - 3 x + 8) - (x^{4} - x^{3} - 6 x^{2} + 7 x)$
2362	Solve for x	2/3+x/5=6	$\frac{2}{3} + \frac{x}{5} = 6$
2363	Solve for x	(2x-3)/(5x)=11/2	$\frac{2 x - 3}{5 x} = \frac{11}{2}$
2364	Simplify	(x(x+1))/(x^3(x+1))	$\frac{x (x + 1)}{x^{3} (x + 1)}$
2365	Solve the Inequality for c	-11>-c/11	$- 11 > - \frac{c}{11}$
2366	Simplify the Radical Expression	( cube root of 10y)^3	${(\sqrt[3]{10 y})}^{3}$
2367	Simplify	5^0*2^-3	$5^{0} \cdot 2^{- 3}$
2368	Evaluate the Integral	integral of 3/(sin(x)^2) with respect to x	$\int \frac{3}{\sin^{2} (x)} d x$
2369	Simplify	(6a^-1c^-3)/(d^0)	$\frac{6 a^{- 1} c^{- 3}}{d^{0}}$
2370	Simplify	(9^-2)/(3^-3)	$\frac{(9^{- 2})}{(3^{- 3})}$
2371	Solve for y	3/4=y-1/5*8	$\frac{3}{4} = y - \frac{1}{5} \cdot 8$
2372	Solve for x	60/(x-1)=36/(x-1)+12	$\frac{60}{x - 1} = \frac{36}{x - 1} + 12$
2373	Solve for x	5\|x-3\|<=20	$5 \| x - 3 \| \leq 20$
2374	Find the Exact Value	(5/8-1/3)÷(2/5+1)	$(\frac{5}{8} - \frac{1}{3}) \div (\frac{2}{5} + 1)$
2375	Simplify	(12y)/(5x)+(5x)/(4y^3)	$\frac{12 y}{5 x} + \frac{5 x}{4 y^{3}}$
2376	Find the Domain	(4y)/(x-3y)+(2x-2y)/(3y-x)	$\frac{4 y}{x - 3 y} + \frac{2 x - 2 y}{3 y - x}$
2377	Simplify	((a^2b)/(a^-3b^2))^-1	${(\frac{a^{2} b}{a^{- 3} b^{2}})}^{- 1}$
2378	Find Amplitude, Period, and Phase Shift	f(t)=-6sin(3/2x+4pi)	$f (t) = - 6 \sin (\frac{3}{2} x + 4 π)$
2379	Solve the Inequality for d	d+12<19	$d + 12 < 19$
2380	Write in Standard Form	f(x)=-(x-3)(x-5)	$f (x) = - (x - 3) (x - 5)$
2381	Solve for x	square root of x+2+1 = square root of 3-x	$\sqrt{x + 2} + 1 = \sqrt{3 - x}$
2382	Solve the Inequality for x	1/16*(1/8)^x<=(1/4)^x	$\frac{1}{16} \cdot {(\frac{1}{8})}^{x} \leq {(\frac{1}{4})}^{x}$
2383	Solve for w	w+\|-2.8\|=4.3	$w + \| - 2.8 \| = 4.3$
2384	Find the Derivative - d/dx	(d^43)/(dx^43)(sin(2x)+5^(3x))	$\frac{d^{43}}{d x^{43}} (\sin (2 x) + 5^{3 x})$
2385	Simplify	15+8 square root of 7+ square root of 112	$15 + 8 \sqrt{7} + \sqrt{112}$
2386	Simplify	2/5(10x+3/4)-2x	$\frac{2}{5} (10 x + \frac{3}{4}) - 2 x$
2387	Evaluate the Integral	integral from 3 to infinity of 1/(x^2-6x+2022) with respect to x	$\int_{3}^{\infty} \frac{1}{x^{2} - 6 x + 2022} d x$
2388	Graph	y>-0.5 square root of x+1-4	$y > - 0.5 \sqrt{x + 1} - 4$
2389	Find f(g(x))	f(x)=3x+5 and g(x)=5x-1	$f (x) = 3 x + 5$ and $g (x) = 5 x - 1$
2390	Solve for g	-7g=3g+8(-g+2)	$- 7 g = 3 g + 8 (- g + 2)$
2391	Find the Exact Value	(4((2-5)^3-4(1/2-5/3)^2)+3(2/6))- square root of 4	$(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2} - \frac{5}{3})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
2392	Simplify the Radical Expression	cube root of 2^4*5^5	$\sqrt[3]{2^{4} \cdot 5^{5}}$
2393	Solve the System of Inequalities	5x+11>=-9 and 10x-3<=27	$5 x + 11 \geq - 9$ and $10 x - 3 \leq 27$
2394	Simplify	(125^8)/(5^2)	$\frac{125^{8}}{5^{2}}$
2395	Write in Standard Form	y=x(x^2-5)	$y = x (x^{2} - 5)$
2396	Simplify	(12mn)(-m^3n^-2p^5)(2m)	$(12 m n) (- m^{3} n^{- 2} p^{5}) (2 m)$
2397	Simplify	2(10)+2(x-4)	$2 (10) + 2 (x - 4)$
2398	Solve for a	2/a+1/b=13/15	$\frac{2}{a} + \frac{1}{b} = \frac{13}{15}$
2399	Simplify	-9x^2(2x^5+4x^3-2x)-3x^4(2x^3-5x+6)	$- 9 x^{2} (2 x^{5} + 4 x^{3} - 2 x) - 3 x^{4} (2 x^{3} - 5 x + 6)$
2400	Write in Slope-Intercept Form	3y-24=x	$3 y - 24 = x$