 38*n**2/9 + 28*n/3 = 0. Calculate n.
-21, -1, 0, 2/3
Factor f**2 + 181*f/4 + 45/4.
(f + 45)*(4*f + 1)/4
Determine p, given that 2*p**4 - 1876*p**3/3 + 1038*p**2 - 1244*p/3 = 0.
0, 2/3, 1, 311
Determine h so that 2*h**4/13 - 48*h**3/13 + 86*h**2/13 + 48*h/13 - 88/13 = 0.
-1, 1, 2, 22
Let c**3/2 - 5*c**2/2 + c + 4 = 0. Calculate c.
-1, 2, 4
Factor -3*w**5/2 - 144*w**4 - 3456*w**3.
-3*w**3*(w + 48)**2/2
Factor 75*n**3 + 165*n**2 + 117*n + 27.
3*(n + 1)*(5*n + 3)**2
Factor -2*p**4 + 12*p**3 - 10*p**2.
-2*p**2*(p - 5)*(p - 1)
Factor -c**3/2 + 9*c**2/2 + 85*c/2 + 75/2.
-(c - 15)*(c + 1)*(c + 5)/2
Find y such that 4*y**5 + 16*y**4 - 100*y**3 - 352*y**2 - 240*y = 0.
-6, -2, -1, 0, 5
Factor 6*i**2/13 - 50*i/13 + 16/13.
2*(i - 8)*(3*i - 1)/13
Factor -c**5 + 12*c**4 + 28*c**3 + 2*c**2 - 27*c - 14.
-(c - 14)*(c - 1)*(c + 1)**3
Suppose 8*v**2/5 + 18*v + 22/5 = 0. What is v?
-11, -1/4
Determine j, given that -5*j**5 - 55*j**4 - 170*j**3 - 230*j**2 - 145*j - 35 = 0.
-7, -1
Factor -z**4/6 - 46*z**3.
-z**3*(z + 276)/6
Factor -3*c**4/4 - 39*c**3/4 - 165*c**2/4 - 225*c/4.
-3*c*(c + 3)*(c + 5)**2/4
Factor -2*u**2 - 3676*u - 1689122.
-2*(u + 919)**2
Factor -g**4/11 - 2*g**3/11 + 8*g**2/11.
-g**2*(g - 2)*(g + 4)/11
Let 2*h**2/11 - 12*h/11 = 0. What is h?
0, 6
Solve 16*t**3/9 - 986*t**2/9 - 2420*t/9 - 256/3 = 0.
-2, -3/8, 64
Determine s, given that 5*s**5 + 15*s**4 - 35*s**3 - 55*s**2 + 30*s + 40 = 0.
-4, -1, 1, 2
Solve -4*h**3 - 1060*h**2 + 2136*h = 0 for h.
-267, 0, 2
Find q such that q**2 + 43*q + 82 = 0.
-41, -2
Determine o so that -2*o**3/7 + 2*o**2/7 + 34*o/7 + 30/7 = 0.
-3, -1, 5
Let -5*m**3 + 135*m**2 - 1215*m + 3645 = 0. What is m?
9
Factor 243*n**4 + 594*n**3 - 1716*n**2 - 840*n - 96.
3*(n - 2)*(n + 4)*(9*n + 2)**2
Factor 2*n**2 + 23646*n/5 - 1892.
2*(n + 2365)*(5*n - 2)/5
Suppose 2*u**2 + 33*u + 108 = 0. Calculate u.
-12, -9/2
Solve -i**4 - 2*i**3 + 23*i**2 + 24*i - 144 = 0.
-4, 3
Let -3*i**4 - 21*i**3 - 36*i**2 = 0. What is i?
-4, -3, 0
Let -25*h**2 - 3930*h - 154449 = 0. Calculate h.
-393/5
Suppose 42*f**5/13 - 122*f**4/13 - 12*f**3/13 + 168*f**2/13 + 16*f/13 = 0. Calculate f.
-1, -2/21, 0, 2
Determine j, given that -16854*j**5 - 65614*j**4 + 8264*j**3 + 4296*j**2 + 288*j = 0.
-4, -6/53, 0, 1/3
Factor -r**2/3 + 19*r - 56/3.
-(r - 56)*(r - 1)/3
Determine g, given that -g**2/8 + 3481*g/4 - 12117361/8 = 0.
3481
Solve -2*a**3/3 - 112*a**2/3 + 238*a/3 + 116 = 0 for a.
-58, -1, 3
Factor -3*c**3/4 - 225*c**2/2 + 936*c - 1896.
-3*(c - 4)**2*(c + 158)/4
Let 26*l**5 - 22*l**4 - 82*l**3 + 14*l**2 + 56*l + 8 = 0. Calculate l.
-1, -2/13, 1, 2
Factor -5*u**5 - 1425*u**4 - 152650*u**3 - 7309450*u**2 - 134216625*u - 127058405.
-5*(u + 1)*(u + 71)**4
Factor 5*h**2/2 + 315*h/2 + 1215.
5*(h + 9)*(h + 54)/2
Factor -4*p**3 - 40*p**2 - 64*p.
-4*p*(p + 2)*(p + 8)
Factor -5*q**2 - 705*q + 1430.
-5*(q - 2)*(q + 143)
Factor n**2 - 106*n - 216.
(n - 108)*(n + 2)
Factor -3*t**3/5 - 21*t**2 - 201*t/5 - 99/5.
-3*(t + 1)**2*(t + 33)/5
Factor 10*o**3 - 135*o**2 + 215*o + 660.
5*(o - 11)*(o - 4)*(2*o + 3)
Factor -2*b**5 + 162*b**4/7 + 72*b**3/7.
-2*b**3*(b - 12)*(7*b + 3)/7
Determine m, given that -2975*m**2 + 610*m - 15 = 0.
1/35, 3/17
Factor -4*k**3 - 672*k**2.
-4*k**2*(k + 168)
What is q in 4*q**3/7 + 24*q**2/7 + 12*q/7 - 40/7 = 0?
-5, -2, 1
Factor 5*a**4 + 35*a**3 + 25*a**2 - 35*a - 30.
5*(a - 1)*(a + 1)**2*(a + 6)
Let 18*q**4/5 - 366*q**3/5 - 646*q**2/5 - 306*q/5 - 44/5 = 0. Calculate q.
-1, -1/3, 22
What is w in 5*w**3 - 40*w**2 - 60*w + 720 = 0?
-4, 6
Factor -2*m**4/11 - 68*m**3/11 + 216*m**2/11 - 20*m + 74/11.
-2*(m - 1)**3*(m + 37)/11
Factor p**2/9 + 227*p/9 - 76/3.
(p - 1)*(p + 228)/9
Find f such that 4*f**3 + 732*f**2 + 44652*f + 907924 = 0.
-61
Find k, given that 3*k**3 + 69*k**2/2 + 90*k = 0.
-15/2, -4, 0
Factor 22*x**3/3 + 64*x**2/3 + 38*x/3 - 4/3.
2*(x + 1)*(x + 2)*(11*x - 1)/3
Determine n, given that -4*n**3/7 - 6*n**2/7 + 4*n/7 = 0.
-2, 0, 1/2
Let -4*y**2 + 80*y + 384 = 0. Calculate y.
-4, 24
Factor -3*a**4 + 6*a**2 - 3.
-3*(a - 1)**2*(a + 1)**2
Let 2*y**3 - 130*y**2 + 254*y - 126 = 0. Calculate y.
1, 63
Factor 4*d**4 + 104*d**3 + 916*d**2 + 3120*d + 3600.
4*(d + 3)**2*(d + 10)**2
Factor -3*d**3 - 156*d**2 - 2640*d - 14400.
-3*(d + 12)*(d + 20)**2
Determine u, given that 6*u**3 - 759*u**2 + 1866*u - 744 = 0.
1/2, 2, 124
Factor 2*g**3 + 26*g**2 + 52*g - 224.
2*(g - 2)*(g + 7)*(g + 8)
Let -3*j**4/7 - 72*j**3/7 + 3*j**2/7 + 72*j/7 = 0. Calculate j.
-24, -1, 0, 1
Factor 2*m**4/3 + 2*m**3 - 74*m**2/3 + 22*m + 48.
2*(m - 3)**2*(m + 1)*(m + 8)/3
What is t in -3*t**4 + 99*t**3 - 819*t**2 - 2535*t + 39546 = 0?
-6, 13
Find r such that 2*r**2/5 + 444*r/5 + 24642/5 = 0.
-111
Find t such that -6*t**5/5 + 18*t**4/5 + 18*t**3 + 102*t**2/5 + 36*t/5 = 0.
-1, 0, 6
Solve 3*r**5/2 + 27*r**4/2 - 195*r**3/2 + 225*r**2/2 + 96*r - 126 = 0 for r.
-14, -1, 1, 2, 3
Suppose n**2/6 - 239*n/2 - 359/3 = 0. Calculate n.
-1, 718
Determine t so that -t**4/6 + t**3/2 + t**2/3 - 2*t + 4/3 = 0.
-2, 1, 2
Solve -62*s**4 + 306*s**3 - 352*s**2 - 24*s = 0 for s.
-2/31, 0, 2, 3
What is n in 12*n**2 + 22*n - 4 = 0?
-2, 1/6
What is u in -4*u**4 + 16*u**3 - 4*u**2 - 24*u = 0?
-1, 0, 2, 3
Factor -f**3/8 + 10*f**2 + 41*f/2.
-f*(f - 82)*(f + 2)/8
Find q, given that 1083*q**4 + 2508*q**3 - 2538*q**2 - 972*q - 81 = 0.
-3, -3/19, 1
What is k in -4*k**5 - 31*k**4 - 64*k**3 - 46*k**2 - 4*k + 5 = 0?
-5, -1, 1/4
Let i**3/3 + 260*i**2/3 = 0. Calculate i.
-260, 0
Factor q**3 + 4*q**2 - 29*q + 24.
(q - 3)*(q - 1)*(q + 8)
Find c, given that c**4/6 + c**3/2 - 2*c**2 - 26*c/3 - 8 = 0.
-3, -2, 4
Factor d**5/6 + d**4/2 + d**3/3.
d**3*(d + 1)*(d + 2)/6
Factor 3*w**3 + 66*w**2 - 219*w + 150.
3*(w - 2)*(w - 1)*(w + 25)
Factor -z**4/2 - 3*z**3 - 9*z**2/2 + 2*z + 6.
-(z - 1)*(z + 2)**2*(z + 3)/2
Factor -3*d**3 + 888*d**2 + 1785*d + 894.
-3*(d - 298)*(d + 1)**2
Solve -2*f**4/7 - 152*f**3/7 - 3548*f**2/7 - 25080*f/7 - 54450/7 = 0.
-33, -5
Factor 2*f**2/17 + 168*f/17 - 344/17.
2*(f - 2)*(f + 86)/17
Factor -6*g**2/7 - 9*g/7.
-3*g*(2*g + 3)/7
What is t in -t**2/7 + 86*t/7 - 1849/7 = 0?
43
Determine r so that -5*r**5 + 210*r**4 - 2385*r**3 + 3400*r**2 + 6000*r = 0.
-1, 0, 3, 20
Factor -5*w**3 - 35*w**2 - 70*w - 40.
-5*(w + 1)*(w + 2)*(w + 4)
Factor -648*j**3 + 8100*j**2 - 33750*j + 46875.
-3*(6*j - 25)**3
Let -2*k**5/3 - 76*k**4/3 = 0. What is k?
-38, 0
Suppose -21*n**3/8 + 57*n**2/8 + 144*n + 81/2 = 0. What is n?
-6, -2/7, 9
What is a in -a**3/5 + 28*a**2/5 - 49*a/5 - 78/5 = 0?
-1, 3, 26
Factor -2*m**3 + 8*m**2 + 8*m - 32.
-2*(m - 4)*(m - 2)*(m + 2)
Factor q**5 + 20*q**4 + 124*q**3 + 262*q**2 + 227*q + 70.
(q + 1)**3*(q + 7)*(q + 10)
Solve -4*g**4 - 32*g**3 + 44*g**2 + 72*g = 0 for g.
-9, -1, 0, 2
Solve -29*o**4/3 + 62*o**3/3 - 8*o**2/3 = 0 for o.
0, 4/29, 2
Let -5*w**2 + 15320*w - 11735120 = 0. Calculate w.
1532
Determine y, given that -2*y**4 - 10*y**3 + 26*y**2 - 14*y = 0.
-7, 0, 1
Solve -y**4/7 + y**3/7 + 6*y**2/7 = 0.
-2, 0, 3
Determine g so that -243*g**3/7 - 513*g**2/7 + 600*g/7 - 144/7 = 0.
-3, 4/9
Factor -g**2/4 - 39*g/4 - 19/2.
-(g + 1)*(g + 38)/4
Factor 13*i**3/5 + 18*i**2 + 71*i/5 - 6/5.
(i + 1)*(i + 6)*(13*i - 1)/5
Let -m**4/2 + m**3/2 + 21*m**2/2 - 45*m/2 = 0. Calculate m.
-5, 0, 3
Suppose -4*t**3 - 120*t**2 - 108*t + 232 = 0. Calculate t.
-29, -2, 1
Solve -2*s**4 - 42*s**3 - 32*s**2 + 168*s + 160 = 0.
-20, -2, -1, 2
Let 27*i**4 - 681*i**3 - 552*i**2 + 156*i = 0. Calculate i.
-1, 0, 2/9, 26
Suppose -o**2/8 + 21*o/4 - 19 = 0. What is o?
4, 38
Let 405*i**3/4 - 4095*i**2/2 + 1805*i/4 - 25 = 0. Calculate i.
1/9, 20
Solve -j**5/5 + j**4/5 + j**3 - j**2 - 4*j/5 + 4/5 = 0 for j.
-2, -1, 1, 2
What is w in 5*w**5 - 1105*w**4 + 58230*w**3 + 311330*w**2 + 443525*w + 191535 = 0?
-3, -1, 113
Factor -6*y**2/11 + 246*y/11 - 468/11.
-6*(y - 39)*(y - 2)/11
What is l in -5*l**5 + 5*l**4 + 190*l**3 + 620*l**2 + 760*l + 320 = 0?
-2, -1, 8
Solve -t**2/2 - 171*t - 29241/2 = 0.
-171
Factor -d**3/8 - 347*d**2/4 - 120409*d/8.
-d*(d + 347)**2/8
Solve 8*c**5 + 14*c**4 - 24*c**3 - 76*c**2 - 64*c - 18 = 0 for c.
-1, 9/4
Factor -9*y**4 + 33*y**3 + 20*y**2 - 28*y - 16.
-(y - 4)*(y - 1)*(3*y + 2)**2
Factor 16*h**2 + 842*h - 318.
2*(h + 53)*(8*h - 3)
Suppose -5*t**2 + 270*t - 3645 = 0. What is t?
27
Find h, given that -h**4/3 + 10*h**3/3 - 7*h**2 - 40*h/