 7/5
Factor -3*g**5/7 - 3*g**4/7 + 15*g**3/7 - 9*g**2/7.
-3*g**2*(g - 1)**2*(g + 3)/7
Factor -y**2/4 + 21*y/2 + 583/4.
-(y - 53)*(y + 11)/4
Factor 55*m**3/6 - 15*m**2/2 - 20*m - 10/3.
5*(m - 2)*(m + 1)*(11*m + 2)/6
Factor -2*d**2/5 + 3972*d/5 - 1972098/5.
-2*(d - 993)**2/5
Solve c**2 + 42*c - 88 = 0.
-44, 2
Solve -3*o**3 + 468*o**2 - 24336*o + 421824 = 0.
52
Let -2*x**3 - 18*x**2 = 0. Calculate x.
-9, 0
Find v such that -5*v**2 - 10*v + 15 = 0.
-3, 1
Let s**5/4 + 13*s**4/4 + 41*s**3/4 + 47*s**2/4 + 9*s/2 = 0. Calculate s.
-9, -2, -1, 0
Solve 2*f**2 + 537*f/4 + 67/4 = 0.
-67, -1/8
Factor 5*o**4 + 1060*o**3 + 48270*o**2 - 838460*o + 3128405.
5*(o - 7)**2*(o + 113)**2
Factor 3*b**2 + 3702*b + 1142067.
3*(b + 617)**2
Find p, given that -2*p**4/9 - 14*p**3/9 - 34*p**2/9 - 34*p/9 - 4/3 = 0.
-3, -2, -1
What is y in 4*y**5 - 92*y**4 - 196*y**3 - 100*y**2 = 0?
-1, 0, 25
Solve 2*v**5/9 + 44*v**4/9 - 146*v**3/9 + 100*v**2/9 = 0 for v.
-25, 0, 1, 2
Factor 483*v**2 - 27*v - 6.
3*(7*v - 1)*(23*v + 2)
Solve 20*n**3 - 75*n**2 - 95*n = 0 for n.
-1, 0, 19/4
Let 32*o**3/3 - 67*o**2/3 - 30*o + 3 = 0. What is o?
-1, 3/32, 3
Factor -2*d**3/13 - 112*d**2/13 - 1960*d/13 - 10976/13.
-2*(d + 14)**2*(d + 28)/13
Find g, given that 2*g**3/11 + 6*g**2/11 - 32*g/11 + 24/11 = 0.
-6, 1, 2
Solve 8*r**3/15 - 2*r**2/5 = 0.
0, 3/4
Factor -3*n**4/7 - 2445*n**3/7 - 494481*n**2/7 + 1505529*n/7.
-3*n*(n - 3)*(n + 409)**2/7
Find y, given that y**2 + 6*y - 7 = 0.
-7, 1
Suppose -4*t**2/5 - 2568*t/5 - 10208/5 = 0. Calculate t.
-638, -4
Solve -s**4/4 + 9*s**3/2 - 33*s**2/4 + 4*s = 0 for s.
0, 1, 16
Suppose 2*i**5/5 + 6*i**4/5 - 18*i**3/5 + 2*i**2 = 0. Calculate i.
-5, 0, 1
Factor 2*b**4 + 204*b**3 + 7754*b**2 + 130152*b + 814088.
2*(b + 22)**2*(b + 29)**2
Factor 2*a**3/7 + 650*a**2/7 - 284*a - 6560/7.
2*(a - 5)*(a + 2)*(a + 328)/7
Let o**3/7 - 4*o**2/7 - 45*o - 1782/7 = 0. What is o?
-9, 22
Factor -i**2 - 10*i + 24.
-(i - 2)*(i + 12)
Factor 14*n**2/13 - 64*n/13 + 66/13.
2*(n - 3)*(7*n - 11)/13
Let -2*o**4/17 + 6*o**3/17 + 78*o**2/17 - 230*o/17 - 300/17 = 0. Calculate o.
-6, -1, 5
Find g such that 10*g**5/3 - 146*g**4/3 + 110*g**3 - 214*g**2/3 - 28*g/3 + 16 = 0.
-2/5, 1, 12
Let 25*o**5 - 890*o**4 + 3515*o**3 + 1550*o**2 = 0. Calculate o.
-2/5, 0, 5, 31
Let -2*f**4/11 + 16*f**3/11 - 34*f**2/11 - 4*f/11 + 48/11 = 0. Calculate f.
-1, 2, 3, 4
Factor 2*f**2/7 + 8*f/7 + 6/7.
2*(f + 1)*(f + 3)/7
Suppose -2*u**4/15 + 22*u**3/5 - 234*u**2/5 + 2366*u/15 = 0. What is u?
0, 7, 13
Find u such that -25*u**5 + 10*u**4 + 25*u**3 - 10*u**2 = 0.
-1, 0, 2/5, 1
What is p in -89*p**3/3 - 60*p**2 - 31*p - 2/3 = 0?
-1, -2/89
Factor -2*b**2/19 + 1016*b/19 - 129032/19.
-2*(b - 254)**2/19
Factor 2*k**2/7 + 8*k/7 - 234/7.
2*(k - 9)*(k + 13)/7
Factor -4*h**3 - 296*h**2 + 17724*h - 204624.
-4*(h - 21)**2*(h + 116)
Factor -i**4/3 + 52*i**3/3 - 137*i**2 - 2580*i + 2700.
-(i - 30)**2*(i - 1)*(i + 9)/3
Determine d so that d**3 + 3*d**2/4 - d/4 = 0.
-1, 0, 1/4
Find s, given that s**3 - 10*s**2 - 11*s = 0.
-1, 0, 11
What is x in 2*x**5 + 38*x**4/3 - 14*x**3 - 34*x**2 - 28*x/3 = 0?
-7, -1, -1/3, 0, 2
Factor -u**4/9 + 259*u**3/9 - 1004*u**2/3 + 11920*u/9 - 15808/9.
-(u - 247)*(u - 4)**3/9
Let -2*p**5 + 28*p**4 - 138*p**3 + 288*p**2 - 216*p = 0. Calculate p.
0, 2, 3, 6
Determine o so that 66*o**5/5 - 1682*o**4/5 + 726*o**3 + 3378*o**2/5 - 2552*o/5 - 552/5 = 0.
-1, -2/11, 2/3, 3, 23
Factor -i**2/5 + 179*i/5 + 546/5.
-(i - 182)*(i + 3)/5
Determine x so that -60*x**5 - 175*x**4 - 75*x**3 + 100*x**2 + 60*x = 0.
-2, -1, -2/3, 0, 3/4
Factor -g**3 + 9*g**2 + 34*g + 24.
-(g - 12)*(g + 1)*(g + 2)
Suppose 2*y**2/3 - 136*y - 414 = 0. What is y?
-3, 207
Suppose -612*c**4/19 + 1050*c**3/19 - 548*c**2/19 + 56*c/19 + 16/19 = 0. What is c?
-2/17, 1/2, 2/3
Determine u so that -4*u**3 - 192*u**2 - 704*u = 0.
-44, -4, 0
Find d, given that -3*d**2 + 765*d - 762 = 0.
1, 254
Factor 5*u**2 + 1780*u + 3540.
5*(u + 2)*(u + 354)
Let -3*j**3 + 6*j**2 - 3*j = 0. Calculate j.
0, 1
Suppose 12*c**3 + 232*c**2 + 1012*c + 312 = 0. Calculate c.
-13, -6, -1/3
Find u such that -2*u**2/3 + 106*u/15 + 44/15 = 0.
-2/5, 11
Factor -2*q**4 + 14*q**3 - 72*q.
-2*q*(q - 6)*(q - 3)*(q + 2)
Determine t, given that 2*t**2/5 + 204*t/5 - 206/5 = 0.
-103, 1
Let 2*x**4/7 + 22*x**3/7 + 88*x**2/7 + 152*x/7 + 96/7 = 0. What is x?
-4, -3, -2
Factor -2*h**4 - 1608*h**3 - 323208*h**2.
-2*h**2*(h + 402)**2
Determine t, given that 4*t**2 - 1120*t + 1116 = 0.
1, 279
Factor 4*f**3 - 28*f**2 - 40*f + 64.
4*(f - 8)*(f - 1)*(f + 2)
Find k, given that k**2/4 - 35*k/4 + 24 = 0.
3, 32
Solve -66*v**3/17 + 8*v**2 - 74*v/17 + 4/17 = 0 for v.
2/33, 1
Solve 4*u**2 + 3776*u + 891136 = 0 for u.
-472
Find r such that r**2 + 24*r + 140 = 0.
-14, -10
Determine l so that l**4/2 + 16*l**3/5 + 6*l**2/5 = 0.
-6, -2/5, 0
Determine y so that -8*y**2/13 - 170*y/13 - 200/13 = 0.
-20, -5/4
Let 2*i**3/5 - 42*i**2/5 - 2*i/5 + 42/5 = 0. Calculate i.
-1, 1, 21
Factor 18*s**3 - 4290*s**2 - 2866*s - 478.
2*(s - 239)*(3*s + 1)**2
Factor 2*b**5 - 226*b**4 + 6270*b**3 + 6498*b**2.
2*b**2*(b - 57)**2*(b + 1)
Factor -4*y**4 - 6672*y**3 - 2788884*y**2 - 5551112*y.
-4*y*(y + 2)*(y + 833)**2
Factor 5*c**5 - 20*c**4 - 35*c**3 + 50*c**2.
5*c**2*(c - 5)*(c - 1)*(c + 2)
Let 2*m**3/19 - 42*m/19 + 40/19 = 0. What is m?
-5, 1, 4
Factor 16*j**2 - 188*j - 204.
4*(j + 1)*(4*j - 51)
Factor 4*g**4/3 - 160*g**3/3 - 508*g**2/3 - 344*g/3.
4*g*(g - 43)*(g + 1)*(g + 2)/3
Factor -2*m**3/7 + 64*m**2/7 + 134*m/7 + 68/7.
-2*(m - 34)*(m + 1)**2/7
Find l such that -4*l**2 + 576*l - 20736 = 0.
72
Factor 864*c**5/7 + 5616*c**4/7 + 10440*c**3/7 + 4324*c**2/7 + 96*c + 36/7.
4*(c + 3)**2*(6*c + 1)**3/7
Determine i, given that -i**3/2 + 21*i**2 - 441*i/2 = 0.
0, 21
Factor 5*i**4 + 195*i**3 + 2170*i**2 + 5220*i + 3240.
5*(i + 1)*(i + 2)*(i + 18)**2
Solve 2*v**4/3 - 136*v**3/3 + 408*v**2 - 3776*v/3 + 3712/3 = 0 for v.
2, 4, 58
Factor a**2/10 - 4*a/5 - 24/5.
(a - 12)*(a + 4)/10
Factor -2*f**3/9 - 62*f**2/9 + 64*f/9.
-2*f*(f - 1)*(f + 32)/9
Factor -8*g**4/9 - 56*g**3/9 - 98*g**2/9.
-2*g**2*(2*g + 7)**2/9
What is s in -3*s**5 + 21*s**4 - 9*s**3 - 177*s**2 + 312*s - 144 = 0?
-3, 1, 4
Find t, given that -2*t**3 - 20*t**2 - 34*t + 56 = 0.
-7, -4, 1
Solve 3*j**3/4 - 399*j**2 + 53067*j = 0 for j.
0, 266
Find p such that -4*p**4 + 36*p**3 - 60*p**2 + 28*p = 0.
0, 1, 7
Let -c**4/5 + 194*c**3/5 + 391*c**2/5 + 196*c/5 = 0. What is c?
-1, 0, 196
Factor -3*d**2/2 + 2823*d - 2656443/2.
-3*(d - 941)**2/2
Suppose g**3/5 - 2116*g**2/5 = 0. What is g?
0, 2116
Find k, given that k**2/2 + 2*k + 3/2 = 0.
-3, -1
Factor -515*t**3 - 2050*t**2 + 40*t.
-5*t*(t + 4)*(103*t - 2)
What is s in -s**2/5 - 6*s/5 + 16/5 = 0?
-8, 2
Factor 2*i**4/13 - 2*i**3/13.
2*i**3*(i - 1)/13
Factor -58564*r**2/3 + 3872*r/3 - 64/3.
-4*(121*r - 4)**2/3
Factor -b**3/2 - 91*b**2/2 - 1012*b + 1058.
-(b - 1)*(b + 46)**2/2
Find d, given that -5*d**3 - 1005*d**2 - 67335*d - 1503815 = 0.
-67
Find c such that 3*c**5/4 - 87*c**4/4 - 189*c**3/4 + 87*c**2/4 + 93*c/2 = 0.
-2, -1, 0, 1, 31
Factor 2*y**5 - 8*y**4 - 12*y**3 + 8*y**2 + 10*y.
2*y*(y - 5)*(y - 1)*(y + 1)**2
Let 2*m**3/3 - 14*m**2/15 + 4*m/15 = 0. Calculate m.
0, 2/5, 1
Factor -3*a**3/5 + 57*a**2/5 - 336*a/5 + 576/5.
-3*(a - 8)**2*(a - 3)/5
What is s in 2*s**2/3 - 692*s/3 + 59858/3 = 0?
173
Solve 4*o**2 - 17424*o + 18974736 = 0.
2178
Find k such that -5*k**2 - 4030*k - 812045 = 0.
-403
What is j in -2*j**3/3 + 22*j**2/3 - 40*j/3 - 64/3 = 0?
-1, 4, 8
Factor 3*a**2/5 + 126*a/5 - 429.
3*(a - 13)*(a + 55)/5
Let -36*p**3 - 520*p**2 - 224*p = 0. What is p?
-14, -4/9, 0
Determine u so that -5*u**2 + 25*u = 0.
0, 5
Determine k, given that -5*k**4 - 4475*k**3 + 8965*k**2 - 4485*k = 0.
-897, 0, 1
Determine z so that -2*z**4/5 + 6*z**3/5 + 44*z**2/5 - 48*z/5 = 0.
-4, 0, 1, 6
Factor -2*q**5/3 - 8*q**4/3 - 2*q**3.
-2*q**3*(q + 1)*(q + 3)/3
Suppose 3*a**5 - 78*a**4 + 711*a**3 - 2472*a**2 + 1344*a + 4608 = 0. Calculate a.
-1, 3, 8
Let q**4/4 + 9*q**3/2 + 13*q**2/4 - 18*q - 17 = 0. Calculate q.
-17, -2, -1, 2
Factor -8649*l**2/7 - 372*l/7 - 4/7.
-(93*l + 2)**2/7
Find p, given that 3*p**2 + 108*p + 672 = 0.
-28, -8
Factor 6*r**3/7 - 8*r**2/7 - 2*r/7 + 4/7.
2*(r - 1)**2*(3*r + 2)/7
Find n such that -n**3/5 - 1194*n**2/5 - 71757*n - 283220 = 0.
-595, -4
Factor -5*y**2 + 1