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Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
15301	Evaluate	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \times 10^{4}) (1.9 \times 10^{- 3})}{(1.044) (500)}$
15302	Evaluate the Integral	integral from 1 to e of ((x^2-1)/x) with respect to x	$\int_{1}^{e} (\frac{x^{2} - 1}{x}) d x$
15303	Plot	y>1/2x-1 y<=-2x+6	$y > \frac{1}{2} x - 1$ $y \leq - 2 x + 6$
15304	Solve for x	square root of 8x+1 = square root of 2x+5	$\sqrt{8 x} + 1 = \sqrt{2 x + 5}$
15305	Evaluate the Limit	limit as x approaches 0 of (tan(x)-sin(x))/(sin(x)^3)	$lim_{x \to 0} \frac{\tan (x) - \sin (x)}{\sin^{3} (x)}$
15306	Graph	y=6 log of x+3	$y = 6 \log (x) + 3$
15307	Solve for r	15=4/3pir^3	$15 = \frac{4}{3} π r^{3}$
15308	Find the Domain and Range	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
15309	Graph	-5x+4<=2y	$- 5 x + 4 \leq 2 y$
15310	Simplify	3/(ax-ay)+2/(by-bx)	$\frac{3}{a x - a y} + \frac{2}{b y - b x}$
15311	Simplify	(5-2x)/(4x+12x^2)-(5-6x)/(4x+12x^2)	$\frac{5 - 2 x}{4 x + 12 x^{2}} - \frac{5 - 6 x}{4 x + 12 x^{2}}$
15312	Find the Degree, Leading Term, and Leading Coefficient	4-1/10x^3	$4 - \frac{1}{10} x^{3}$
15313	Solve the System of Equations	2x+y=-10 -y=2x+10	$2 x + y = - 10$ $- y = 2 x + 10$
15314	Simplify	(3 square root of 7)/( square root of 5-1)	$\frac{3 \sqrt{7}}{\sqrt{5} - 1}$
15315	Divide Using Long Polynomial Division	(2x^4+3x^2+x-1)÷(x-2)	$(2 x^{4} + 3 x^{2} + x - 1) \div (x - 2)$
15316	Graph	y=5x-15 2y=x+7	$y = 5 x - 15$ $2 y = x + 7$
15317	Divide	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
15318	Determine if a Polynomial	-r^2 square root of 7	$- r^{2} \sqrt{7}$
15319	Solve for v	4 = square root of v/2	$4 = \sqrt{\frac{v}{2}}$
15320	Simplify	square root of x^4y^12	$\sqrt{x^{4}} y^{12}$
15321	Simplify	((r^2-2r)/(4r)-2/r)/(1-4/r)	$\frac{\frac{r^{2} - 2 r}{4 r} - \frac{2}{r}}{1 - \frac{4}{r}}$
15322	Evaluate the Function	f(x)=6^x for x=2	$f (x) = 6^{x}$ for $x = 2$
15323	Simplify	(-1/27)^(-1/3)	${(- \frac{1}{27})}^{\frac{- 1}{3}}$
15324	Solve the Rational Equation for x	cube root of x = cube root of 2x-7	$\sqrt[3]{x} = \sqrt[3]{2 x - 7}$
15325	Solve the Inequality for x	sin(x)>1/2	$\sin (x) > \frac{1}{2}$
15326	Find dy/dx	-4-x^2=xy^2+y^3	$- 4 - x^{2} = x y^{2} + y^{3}$
15327	Simplify	(-3^-2y)^2	${(- 3^{- 2} y)}^{2}$
15328	Solve for y	-4+6y-8=-5(2y-20)+8y	$- 4 + 6 y - 8 = - 5 (2 y - 20) + 8 y$
15329	Evaluate the Integral	integral of 1/(25-4x^2) with respect to x	$\int \frac{1}{25 - 4 x^{2}} d x$
15330	Simplify	(6x^0)/(2y^-1)	$\frac{6 x^{0}}{2 y^{- 1}}$
15331	Find the Integral	x/( square root of 1+x^2)	$\frac{x}{\sqrt{1 + x^{2}}}$
15332	Convert to Trigonometric Form	1-(cos(x)^2)/(1+sin(x))	$1 - \frac{\cos^{2} (x)}{1 + \sin (x)}$
15333	Solve by Substitution	6y=-5x+24 2.5x+3y=12	$6 y = - 5 x + 24$ $2.5 x + 3 y = 12$
15334	Simplify	12p+3q-5-5q-8p	$12 p + 3 q - 5 - 5 q - 8 p$
15335	Solve for y	(7y-3)/(y-y^2)=1/(y-1)-5/(y(y-1))	$\frac{7 y - 3}{y - y^{2}} = \frac{1}{y - 1} - \frac{5}{y (y - 1)}$
15336	Divide	( square root of 15xy)/(3 square root of 10xy^3)	$\frac{\sqrt{15 x y}}{3 \sqrt{10 x y^{3}}}$
15337	Simplify	((w+4)/4+1/2)/(3/w+1/2)	$\frac{\frac{w + 4}{4} + \frac{1}{2}}{\frac{3}{w} + \frac{1}{2}}$
15338	Simplify	3/8x+1/8+1/4x+1/4	$\frac{3}{8} x + \frac{1}{8} + \frac{1}{4} x + \frac{1}{4}$
15339	Multiply	(x^2+3y)(x^2-3y)	$(x^{2} + 3 y) (x^{2} - 3 y)$
15340	Find the LCM	5 and 3	$5$ and $3$
15341	Find the Domain and Range	2x=y^2	$2 x = y^{2}$
15342	Find g(h(x))	g(x)=x^2-8 and h(x)=x^2+8	$g (x) = x^{2} - 8$ and $h (x) = x^{2} + 8$
15343	Simplify	((5x)/y)^2((y^3)/(10x^2))	${(\frac{5 x}{y})}^{2} (\frac{y^{3}}{10 x^{2}})$
15344	Simplify	(2x^2y*0.4x^4y^3)/(6x^6y^6)	$\frac{2 x^{2} y \cdot 0.4 x^{4} y^{3}}{6 x^{6} y^{6}}$
15345	Find h(g(x))	g(x)=(x+8)/5 and h(x)=5(x-8)	$g (x) = \frac{x + 8}{5}$ and $h (x) = 5 (x - 8)$
15346	Solve for x	(2x^2+5x+2)^(1/2)=3	${(2 x^{2} + 5 x + 2)}^{\frac{1}{2}} = 3$
15347	Simplify	(-36^04)^-2	${(- 3 \cdot 6^{0} \cdot 4)}^{- 2}$
15348	Find the Antiderivative	f(x)=(x^3+x)/(x^2+1)	$f (x) = \frac{x^{3} + x}{x^{2} + 1}$
15349	Solve the Inequality for r	r/6<-6	$\frac{r}{6} < - 6$
15350	Determine if True	sin(x)^4-cos(x)^4=sin(x)^2-cos(x)^2	$\sin^{4} (x) - \cos^{4} (x) = \sin^{2} (x) - \cos^{2} (x)$
15351	Simplify	2p3q5r	$2 p \cdot 3 q \cdot 5 r$
15352	Solve for y	1/4y-x=0	$\frac{1}{4} y - x = 0$
15353	Simplify	(xy+3x+2)+(3x^2+y)	$(x y + 3 x + 2) + (3 x^{2} + y)$
15354	Find dy/dx	-y+2x^2-x=-5y^3	$- y + 2 x^{2} - x = - 5 y^{3}$
15355	Find the LCM	8 , 3 , 2	$8$ , $3$ , $2$
15356	Find the End Behavior	y=-x^3+6x^2+7x	$y = - x^{3} + 6 x^{2} + 7 x$
15357	Find the Derivative - d/dx	(2x)/( square root of 3x-1)	$\frac{2 x}{\sqrt{3 x - 1}}$
15358	Graph	y<3x-5 and y>=3x+1	$y < 3 x - 5$ and $y \geq 3 x + 1$
15359	Determine if a Polynomial	3c^5+7c^-1-c	$3 c^{5} + 7 c^{- 1} - c$
15360	Simplify	(n+2)^5(n+2)^-3	${(n + 2)}^{5} {(n + 2)}^{- 3}$
15361	Evaluate the Integral	integral of -1/2e^(-2x) with respect to x	$\int - \frac{1}{2} e^{- 2 x} d x$
15362	Evaluate from the Left	limit as x approaches 0 of (x-1)/(x+1)	$lim_{x \to 0} \frac{x - 1}{x + 1}$
15363	Divide	( square root of 2)/( cube root of 2)	$\frac{\sqrt{2}}{\sqrt[3]{2}}$
15364	Evaluate	natural log of (1)^2	$\ln ({(1)}^{2})$
15365	Solve the Inequality for u	0>-0.5u	$0 > - 0.5 u$
15366	Simplify	square root of (16m^2)/(p^4q^6)	$\sqrt{\frac{16 m^{2}}{p^{4} q^{6}}}$
15367	Solve for r	535.29=400(1+r)^5	$535.29 = 400 {(1 + r)}^{5}$
15368	Simplify the Radical Expression	square root of 12+ square root of 27- square root of 3	$\sqrt{12} + \sqrt{27} - \sqrt{3}$
15369	Write in Standard Form	(3x^2-2x)+(x^2-7x+11)	$(3 x^{2} - 2 x) + (x^{2} - 7 x + 11)$
15370	Solve for x	14+5x=3(-x+3)-11	$14 + 5 x = 3 (- x + 3) - 11$
15371	Simplify	1+4.25n+32p-3+(-2p)+54n	$1 + 4.25 n + 32 p - 3 + (- 2 p) + 54 n$
15372	Find the Holes in the Graph	f(x)=(x^2-x-2)/((x-2)^2)	$f (x) = \frac{x^{2} - x - 2}{{(x - 2)}^{2}}$
15373	Combine Like Terms	13v-v+15w-4v	$13 v - v + 15 w - 4 v$
15374	Find the Remainder	(6x^4+5x^3-1)/(3x^2+x-2)	$\frac{6 x^{4} + 5 x^{3} - 1}{3 x^{2} + x - 2}$
15375	Solve for r	r=((3V)/(4pi))^(1/3)	$r = {(\frac{3 V}{4 π})}^{\frac{1}{3}}$
15376	Evaluate	((5^-3)/(5^6))^-6	${(\frac{5^{- 3}}{5^{6}})}^{- 6}$
15377	Simplify	(x+1)(4x-1)(2x-3)(x-2)	$(x + 1) (4 x - 1) (2 x - 3) (x - 2)$
15378	Simplify	(2ab^-1)^2	${(2 a b^{- 1})}^{2}$
15379	Simplify	(x/2)÷((3x^2)/10)	$\frac{x}{2} \div \frac{3 x^{2}}{10}$
15380	Evaluate the Integral	integral from 0 to 1 of x^2e^(-x^3) with respect to x	$\int_{0}^{1} x^{2} e^{- x^{3}} d x$
15381	Solve the Inequality for x	x/4-1/10<=x/5+1	$\frac{x}{4} - \frac{1}{10} \leq \frac{x}{5} + 1$
15382	Simplify	pi(r/2)^3(4/(3pir^2))	$π {(\frac{r}{2})}^{3} (\frac{4}{3 π r^{2}})$
15383	Solve for x	(x+3)/6>x/4+1	$\frac{x + 3}{6} > \frac{x}{4} + 1$
15384	Solve the System of Inequalities	x+y>2 2x-y>1	$x + y > 2$ $2 x - y > 1$
15385	Evaluate the Integral	integral of (1+x^2)^2*6x with respect to x	$\int {(1 + x^{2})}^{2} \cdot 6 x d x$
15386	Solve the Inequality for m	3/5m>-30	$\frac{3}{5} m > - 30$
15387	Solve the Function Operation	Given f(x)=2x and g(x)=x^2+3 ; find f(g(x))	Given $f (x) = 2 x$ and $g (x) = x^{2} + 3$ ; find $f (g (x))$
15388	Evaluate the Integral	8/pi integral from 0 to infinity of 1/(1+x^2) with respect to x	$\frac{8}{π} \int_{0}^{\infty} \frac{1}{1 + x^{2}} d x$
15389	Simplify	-(9xy^5z^3)/(36xy^4z^5)	$- \frac{9 x y^{5} z^{3}}{36 x y^{4} z^{5}}$
15390	Simplify	73/100*(-2/7)	$\frac{73}{100} \cdot (- \frac{2}{7})$
15391	Find the Domain	f(x)=1/5\|x\|	$f (x) = \frac{1}{5} \| x \|$
15392	Write in Standard Form	y=6(2x-1)(x+5)	$y = 6 (2 x - 1) (x + 5)$
15393	Simplify	((x-3)(x-2))/((x+2)(x-2))*((x+6)(x+5))/((x+5)(x-3))	$\frac{(x - 3) (x - 2)}{(x + 2) (x - 2)} \cdot \frac{(x + 6) (x + 5)}{(x + 5) (x - 3)}$
15394	Find the Exact Value	sec(-(8pi)/13)	$\sec (- \frac{8 π}{13})$
15395	Find All Complex Solutions	6x=9+x^2	$6 x = 9 + x^{2}$
15396	Simplify	x^-4y^4z^2*4x^3y^0z^-2	$x^{- 4} y^{4} z^{2} \cdot 4 x^{3} y^{0} z^{- 2}$
15397	Find dy/dx	-5=3y^3+x-xy^2	$- 5 = 3 y^{3} + x - x y^{2}$
15398	Evaluate the Integral	integral of 2x^2-6x+4/x-3 with respect to x	$\int 2 x^{2} - 6 x + \frac{4}{x} - 3 d x$
15399	Solve by Substitution	-7x-2y=-13 and x-2y=11	$- 7 x - 2 y = - 13$ and $x - 2 y = 11$
15400	Evaluate the Integral	integral from 1/2 to 3/2 of (-2x+4) with respect to x	$\int_{\frac{1}{2}}^{\frac{3}{2}} (- 2 x + 4) d x$