i/7 + 484/7.
-2*(i - 2)*(i + 1)*(i + 121)/7
Solve -5*q**4 + 32*q**3 - 12*q**2 = 0 for q.
0, 2/5, 6
Let -d**5 + 23*d**4 - 82*d**3 + 118*d**2 - 77*d + 19 = 0. Calculate d.
1, 19
Factor -14645929*a**2/2 - 7654*a - 2.
-(3827*a + 2)**2/2
Determine z, given that z**3/4 + 59*z**2/4 + 14*z - 29 = 0.
-58, -2, 1
Solve 19*o**2/6 - 86*o/3 + 3/2 = 0 for o.
1/19, 9
Determine n, given that -n**5/7 + n**4/7 + 4*n**3/7 - 4*n**2/7 = 0.
-2, 0, 1, 2
Solve -18*j**3 - 12*j**2 - 2*j = 0 for j.
-1/3, 0
Determine q, given that 4*q**2 + 76456*q + 365344996 = 0.
-9557
Factor 3*s**2 - 438*s + 15987.
3*(s - 73)**2
Factor r**4/2 - 22*r**3 + 240*r**2 + 88*r - 968.
(r - 22)**2*(r - 2)*(r + 2)/2
Factor 20*g**2 - 17912*g - 7168.
4*(g - 896)*(5*g + 2)
Factor t**3/2 + 831*t**2 + 460374*t + 85015732.
(t + 554)**3/2
Solve -2*k**2/11 - 30*k/11 + 108/11 = 0.
-18, 3
Factor -2*v**3 - 582*v**2.
-2*v**2*(v + 291)
Find a such that -a**5 + 16*a**4 + a**3 - 16*a**2 = 0.
-1, 0, 1, 16
Find k such that -k**2/2 + k/2 + 3 = 0.
-2, 3
Determine z, given that 11*z**3/4 + 13*z**2/4 - 29*z + 23 = 0.
-46/11, 1, 2
Suppose -2*i**2 + 3852*i - 1854738 = 0. Calculate i.
963
Factor 5*a**5 - 20*a**4 + 25*a**3 - 10*a**2.
5*a**2*(a - 2)*(a - 1)**2
Factor 5*n**4 + 100*n**3 - 330*n**2 + 340*n - 115.
5*(n - 1)**3*(n + 23)
Factor x**5/10 + 2*x**4/5 + x**3/2 + x**2/5.
x**2*(x + 1)**2*(x + 2)/10
What is n in -n**4/3 - 7*n**3/6 - 4*n**2/3 - n/2 = 0?
-3/2, -1, 0
Factor -4*o**4 + 100*o**3 - 572*o**2 - 676*o.
-4*o*(o - 13)**2*(o + 1)
Factor c**3 - 732*c**2 + 178608*c - 14526784.
(c - 244)**3
Factor -z**4 - 38*z**3 - 528*z**2 - 3200*z - 7168.
-(z + 8)**3*(z + 14)
Determine b so that 4*b**3 - 60*b**2 + 108*b - 52 = 0.
1, 13
Let g**2/7 + 19*g/7 + 88/7 = 0. What is g?
-11, -8
Factor -4*x**2/7 - 2*x/7 + 30/7.
-2*(x + 3)*(2*x - 5)/7
Factor 5*m**3 - 50*m**2 - 115*m - 60.
5*(m - 12)*(m + 1)**2
Find n such that 2*n**2 - 180*n = 0.
0, 90
Find o, given that -2*o**5 + 14*o**3 - 12*o**2 = 0.
-3, 0, 1, 2
Find h such that -h**5 - 39*h**4 - 378*h**3 = 0.
-21, -18, 0
Factor 1156*o**3/5 + 129132*o**2/5 + 18144*o + 15984/5.
4*(o + 111)*(17*o + 6)**2/5
Solve 162*g**5 - 3699*g**4 + 2952*g**3 + 429*g**2 - 732*g + 132 = 0.
-1/2, 1/3, 2/3, 22
Let -r**5/3 - 5*r**4 - 67*r**3/3 - 43*r**2 - 112*r/3 - 12 = 0. What is r?
-9, -2, -1
Factor -3*l**4/4 + 3*l**3 + 63*l**2/4.
-3*l**2*(l - 7)*(l + 3)/4
What is v in -3*v**5 + 45*v**4 + 585*v**3 + 1455*v**2 + 1350*v + 432 = 0?
-6, -1, 24
What is h in h**5/3 - 5*h**4/3 + 5*h**3/3 + 5*h**2/3 - 2*h = 0?
-1, 0, 1, 2, 3
Factor -u**5/3 + 4*u**4/3 - 2*u**3 + 4*u**2/3 - u/3.
-u*(u - 1)**4/3
Factor -5*c**2 - 1040*c - 54080.
-5*(c + 104)**2
Solve 2*x**3 + 84*x**2 + 568*x + 816 = 0.
-34, -6, -2
Factor -5*d**2 + 35*d - 60.
-5*(d - 4)*(d - 3)
Find i, given that i**3 - 350*i**2 + 30972*i - 60552 = 0.
2, 174
What is r in -338*r**3 + 1144*r**2 + 1190*r - 4900 = 0?
-2, 35/13
Let 2*t**2/3 - 6512*t/3 + 5300768/3 = 0. Calculate t.
1628
Factor -4*d**4 + 384*d**3 + 392*d**2 - 384*d - 388.
-4*(d - 97)*(d - 1)*(d + 1)**2
Factor 15*h**4 - 490*h**3 - 675*h**2 - 170*h.
5*h*(h - 34)*(h + 1)*(3*h + 1)
Determine s so that -s**2/7 + 8*s + 116/7 = 0.
-2, 58
Find r such that -3*r**5/5 - 2*r**4/5 + 24*r**3/5 + 16*r**2/5 - 48*r/5 - 32/5 = 0.
-2, -2/3, 2
Factor 2*v**3/9 - 106*v**2/9 - 188*v - 176.
2*(v - 66)*(v + 1)*(v + 12)/9
What is g in 3*g**2 + 72*g - 156 = 0?
-26, 2
Factor 2*j**3/3 - 894*j**2 + 399618*j - 59543082.
2*(j - 447)**3/3
Factor -3*c**2/4 + 3193*c/4 - 266.
-(c - 1064)*(3*c - 1)/4
Determine y, given that y**5 + 57*y**4/4 + 33*y**3/2 + 13*y**2/4 = 0.
-13, -1, -1/4, 0
Solve 2*m**5/7 - 6*m**4/7 - 6*m**3/7 + 22*m**2/7 - 12*m/7 = 0 for m.
-2, 0, 1, 3
Suppose -2*n**5 + 254*n**4 - 7936*n**3 - 8192*n**2 = 0. Calculate n.
-1, 0, 64
Determine o so that 3*o**4/4 - 9*o**3/2 - 6*o**2 + 9*o/2 + 21/4 = 0.
-1, 1, 7
Suppose o**4 - o**3 - 13*o**2 + o + 12 = 0. What is o?
-3, -1, 1, 4
Let k**3/6 + 95*k**2 + 27075*k/2 = 0. Calculate k.
-285, 0
Factor -i**4/4 + 9*i**3/4 - 2*i**2.
-i**2*(i - 8)*(i - 1)/4
Factor -2*r**3/7 - 6*r**2/7 + 32*r/7 - 24/7.
-2*(r - 2)*(r - 1)*(r + 6)/7
Find h such that h**5 + 44*h**4 + 630*h**3 + 2700*h**2 - 3375*h = 0.
-15, 0, 1
Factor 2*m**2/7 + 3026*m/7 - 6060/7.
2*(m - 2)*(m + 1515)/7
Suppose 2*b**5/7 + 282*b**4/7 - 284*b**3/7 = 0. Calculate b.
-142, 0, 1
Solve 2*w**5/9 + 14*w**4/9 - 22*w**3 + 586*w**2/9 - 644*w/9 + 80/3 = 0.
-15, 1, 2, 4
Suppose -4*d**3 + 52*d**2 + 132*d - 180 = 0. Calculate d.
-3, 1, 15
Solve -3*q**3/7 - 4314*q**2/7 + 3*q/7 + 4314/7 = 0 for q.
-1438, -1, 1
Factor -2*o**2/11 - 1268*o/11 - 200978/11.
-2*(o + 317)**2/11
Determine a, given that -2*a**3/3 + 164*a**2/3 + 728*a + 2256 = 0.
-6, 94
Factor 4*w**2/5 + 248*w + 19220.
4*(w + 155)**2/5
Factor 3*w**4/5 + 138*w**3/5 + 177*w**2 - 1026*w/5.
3*w*(w - 1)*(w + 9)*(w + 38)/5
Factor 4*h**2 - 15840*h.
4*h*(h - 3960)
Suppose -g**2 - 9*g + 22 = 0. Calculate g.
-11, 2
Find u, given that u**2/6 - 145*u/6 + 143/3 = 0.
2, 143
Determine i so that 5*i**3 + 20*i**2 + 20*i = 0.
-2, 0
Factor -4*v**3/3 + 8*v**2 - 44*v/3 + 8.
-4*(v - 3)*(v - 2)*(v - 1)/3
Suppose 2*a**4/7 - 2*a**3 + 10*a**2/7 + 2*a - 12/7 = 0. What is a?
-1, 1, 6
Solve -2*p**5/7 - 54*p**4/7 + 4*p**3/7 + 108*p**2/7 - 2*p/7 - 54/7 = 0 for p.
-27, -1, 1
Factor 2*r**2/25 + 8*r/5 - 42/25.
2*(r - 1)*(r + 21)/25
Factor -3*a**5/5 + 18*a**4/5 + 21*a**3/5.
-3*a**3*(a - 7)*(a + 1)/5
Suppose 27*v**4/4 - 33*v**3/4 + 3*v**2/2 = 0. Calculate v.
0, 2/9, 1
Factor -m**4/3 - 76*m**3/3 - 481*m**2 + 76*m/3 + 1444/3.
-(m - 1)*(m + 1)*(m + 38)**2/3
Determine r so that -16*r**4/11 + 10*r**3/11 + 38*r**2/11 + 12*r/11 = 0.
-1, -3/8, 0, 2
Factor -3*x**2/2 + 15*x/2 + 156.
-3*(x - 13)*(x + 8)/2
Factor -3*c**2 + 426*c + 1305.
-3*(c - 145)*(c + 3)
Factor 4*i**3 + 752*i**2.
4*i**2*(i + 188)
Find p, given that 4*p**2/3 - 84*p + 3344/3 = 0.
19, 44
Factor g**2/3 - 806*g/3.
g*(g - 806)/3
Factor 2*o**3/9 + 94*o**2/9 + 1120*o/9 + 3968/9.
2*(o + 8)**2*(o + 31)/9
Factor -p**3 - 55*p**2 - 728*p + 784.
-(p - 1)*(p + 28)**2
Factor -3*r**3/8 + 7245*r**2/8 - 5832225*r/8 + 1564980375/8.
-3*(r - 805)**3/8
Factor 5*t**3/4 + 45*t**2/4 + 25*t + 15.
5*(t + 1)*(t + 2)*(t + 6)/4
Factor -3*g**5 - 39*g**4 - 69*g**3 - 33*g**2.
-3*g**2*(g + 1)**2*(g + 11)
Factor 2*d**4/17 + 252*d**3/17 + 7938*d**2/17.
2*d**2*(d + 63)**2/17
What is h in 36*h**4 + 352*h**3 + 820*h**2 - 200*h = 0?
-5, 0, 2/9
Factor -3*x**3 - 6*x**2 + 15*x + 18.
-3*(x - 2)*(x + 1)*(x + 3)
Suppose 25*v**5 + 30*v**4 - 531*v**3 - 424*v**2 + 2196*v - 1296 = 0. What is v?
-18/5, 1, 4
Determine s so that -9*s**4 + 129*s**3 - 483*s**2 + 147*s = 0.
0, 1/3, 7
Let 3*y**2 - 3*y - 60 = 0. Calculate y.
-4, 5
Find t, given that 5*t**2 + 30*t - 800 = 0.
-16, 10
Factor 32*t**3/7 - 29*t**2/7 - 67*t/7 - 6/7.
(t - 2)*(t + 1)*(32*t + 3)/7
Factor -8*d**3/7 + 6*d**2/7 + 18*d/7 + 4/7.
-2*(d - 2)*(d + 1)*(4*d + 1)/7
Let 3*z**5/4 - 81*z**4/2 - 687*z**3/4 - 267*z**2/2 + 171*z + 174 = 0. What is z?
-2, -1, 1, 58
Factor -2*d**3/9 + 4*d**2/9 + 16*d/9.
-2*d*(d - 4)*(d + 2)/9
Factor -116*v**2 - 456*v + 32.
-4*(v + 4)*(29*v - 2)
Factor -2*k**5/3 - 50*k**4 - 1010*k**3 - 8210*k**2/3 - 2640*k - 864.
-2*(k + 1)**3*(k + 36)**2/3
Factor -b**4 - 11*b**3 + 145*b**2 - 133*b.
-b*(b - 7)*(b - 1)*(b + 19)
Solve 8*s**2/7 + 10968*s/7 + 3759282/7 = 0.
-1371/2
Find s, given that -s**4 - 11*s**3/3 - 5*s**2/3 + s = 0.
-3, -1, 0, 1/3
Factor 5*i**4 + 1170*i**3 + 91260*i**2 + 2372760*i.
5*i*(i + 78)**3
Solve 4*c**3 - 232*c**2 + 3780*c - 11664 = 0.
4, 27
Determine i so that 2*i**2 - 492*i + 30258 = 0.
123
Factor -3*i**2 - 501*i - 1956.
-3*(i + 4)*(i + 163)
What is c in 5*c**5/2 - 95*c**4 - 300*c**3 - 305*c**2 - 205*c/2 = 0?
-1, 0, 41
What is p in -75*p**5 - 210*p**4 - 57*p**3 + 186*p**2 + 132*p + 24 = 0?
-2, -1, -2/5, 1
Factor 2*k**4/7 - 4*k**3/7 - 2*k**2/7 + 4*k/7.
2*k*(k - 2)*(k - 1)*(k + 1)/7
Factor 4*v**5 - 8*v**4 - 164*v**3 + 168*v**2.
4*v**2*(v - 7)*(v - 1)*(v + 6)
Let 2*z**2 - 752*z + 70688 = 0. Calculate z.
188
Determine k so that 5*k**2 - 17970*k - 17975 = 0.
-1, 3595
Solve 2*g**4/15 - 4*g**2/15 + 2/15 = 0.
-1, 1
Solve 5*u**5 + 35*u**4 + 15*u**3 - 295*u**2 - 520*u - 240 = 0 for u.
-4, -1, 3
Determine l, given that 4*l**2/7 - 856*l/7 + 45796/7 = 0.
107
What is c in -36*c**2/11 + 42*c/11 + 60/11 = 0?
-5/6, 2
Solve -x**4/5 + 25*x**3 - 73*x**2