2.
5*h**2*(h - 18)*(2*h + 1)**2
Find g such that 192*g**5 - 816*g**4 + 795*g**3 - 225*g**2 = 0.
0, 5/8, 3
Suppose 58*k**5 - 106*k**4 - 20*k**3 + 116*k**2 - 38*k - 10 = 0. Calculate k.
-1, -5/29, 1
Factor -q**3/4 - 13*q**2/4 + 9*q/4 + 117/4.
-(q - 3)*(q + 3)*(q + 13)/4
Find c, given that c**2/2 - 142*c + 10082 = 0.
142
Suppose 5*r**4 - 10*r**3 - 180*r**2 - 440*r - 320 = 0. What is r?
-2, 8
Let x**3/4 - 3*x**2/2 + 8 = 0. What is x?
-2, 4
Suppose -w**3/2 + 16*w**2 - 221*w/2 - 289 = 0. Calculate w.
-2, 17
What is z in 2*z**5 + 2*z**4 - 4*z**3 - 4*z**2 + 2*z + 2 = 0?
-1, 1
What is l in -37*l**3/6 + 77*l**2/6 + 183*l/2 - 15/2 = 0?
-3, 3/37, 5
Solve -6*z**5 - 20*z**4 + 4*z**3 + 32*z**2 + 2*z - 12 = 0.
-3, -1, 2/3, 1
Solve -4*u**4 - 8*u**3 + 28*u**2 - 16*u = 0 for u.
-4, 0, 1
Factor -4*j**5 - 9*j**4 - 2*j**3 + 8*j**2 + 6*j + 1.
-(j - 1)*(j + 1)**3*(4*j + 1)
Find f, given that -27*f**4/4 - 18*f**3 + 78*f**2 + 120*f - 300 = 0.
-10/3, 2
Let -h**4 - 584*h**3 - 84088*h**2 + 343392*h - 345744 = 0. Calculate h.
-294, 2
Factor r**3/2 + 13*r**2/2 + 18*r.
r*(r + 4)*(r + 9)/2
Let 2*l**3 - 532*l**2 + 36418*l - 137288 = 0. What is l?
4, 131
Factor -2*l**4 + 22*l**3 - 30*l**2 - 134*l - 80.
-2*(l - 8)*(l - 5)*(l + 1)**2
Factor 5*b**3 - 90*b**2 + 205*b + 300.
5*(b - 15)*(b - 4)*(b + 1)
Find l, given that -2*l**5/5 - 94*l**4/5 - 190*l**3 + 3742*l**2/5 - 80*l - 1000 = 0.
-25, -1, 2
Determine j, given that -2*j**2/3 + 34*j/3 - 48 = 0.
8, 9
Let -2*k**4/15 - 6*k**3/5 + 22*k**2/5 - 14*k/3 + 8/5 = 0. Calculate k.
-12, 1
Find b, given that -5*b**4 + 30*b**2 + 40*b + 15 = 0.
-1, 3
Factor 2*j**4 + 76*j**3 - 414*j**2 + 680*j - 344.
2*(j - 2)**2*(j - 1)*(j + 43)
Find l, given that 3*l**2/5 - 378*l/5 + 363 = 0.
5, 121
Factor -24*c**2 + 75*c - 9.
-3*(c - 3)*(8*c - 1)
Find j, given that -98*j**3/9 - 18074*j**2/9 + 10352*j/9 - 1480/9 = 0.
-185, 2/7
Let r**3/6 - 41*r**2/2 + 1281*r/2 - 3721/6 = 0. Calculate r.
1, 61
Suppose -25*p**4 + 90*p**3 + 165*p**2 + 50*p = 0. What is p?
-1, -2/5, 0, 5
Factor -o**3 + 936*o**2 - 219957*o + 436178.
-(o - 467)**2*(o - 2)
Factor -2*i**3/5 - 10*i**2 - 224*i/5 + 1176/5.
-2*(i - 3)*(i + 14)**2/5
Factor 7*s**2/2 + 1479*s/2 + 211.
(s + 211)*(7*s + 2)/2
Factor -4*u**2 - 1996*u + 2000.
-4*(u - 1)*(u + 500)
Solve 5*b**4 + 25*b**3 + 25*b**2 - 25*b - 30 = 0 for b.
-3, -2, -1, 1
Factor -2*j**3/9 + 44*j**2/9 - 274*j/9 + 520/9.
-2*(j - 13)*(j - 5)*(j - 4)/9
Let 4*t**5/7 - 8*t**4/7 + 8*t**2/7 - 4*t/7 = 0. Calculate t.
-1, 0, 1
Determine v, given that -2*v**4/11 - 14*v**3/11 - 16*v**2/11 + 56*v/11 + 96/11 = 0.
-4, -3, -2, 2
What is p in -2*p**3 - 20*p**2 - 66*p - 72 = 0?
-4, -3
Suppose -k**5/4 - 11*k**4/4 + 15*k**3 = 0. Calculate k.
-15, 0, 4
Let 4*z**2 - 408*z + 10404 = 0. Calculate z.
51
Determine f so that f**4 + 2*f**3 - 15*f**2 = 0.
-5, 0, 3
Factor 4*o**3 + 1164*o**2 + 112908*o + 3650692.
4*(o + 97)**3
Let 3*d**5 - 99*d**4/2 + 429*d**3/2 - 72*d**2 - 96*d = 0. Calculate d.
-1/2, 0, 1, 8
What is p in -p**4 + 7*p**3 - 16*p**2 + 12*p = 0?
0, 2, 3
Let 5*u**2 + 155*u = 0. What is u?
-31, 0
Factor -r**5 - 3*r**4 + 4*r**3.
-r**3*(r - 1)*(r + 4)
Factor -b**3 + 88*b**2 - 173*b + 86.
-(b - 86)*(b - 1)**2
Solve 2*u**2 + 30*u + 52 = 0.
-13, -2
Factor n**4/6 + 22*n**3/3 + 85*n**2 - 578*n/3 - 34391/6.
(n - 7)*(n + 17)**3/6
Solve -c**3/3 - 2*c**2 = 0 for c.
-6, 0
Let 4*q**2 + 608*q + 23104 = 0. What is q?
-76
Factor u**2/7 + 12*u - 540/7.
(u - 6)*(u + 90)/7
What is k in -2*k**3/5 - 128*k**2 - 49896*k/5 + 209952/5 = 0?
-162, 4
Solve 5*v**4 - 32*v**3 + 67*v**2 - 52*v + 12 = 0.
2/5, 1, 2, 3
Determine u so that -2*u**2 - 4*u - 2 = 0.
-1
Let -2*t**3 + 90*t**2 - 624*t - 9464 = 0. What is t?
-7, 26
Factor -t**5/4 + 131*t**4/4 - 128*t**3 + 127*t**2.
-t**2*(t - 127)*(t - 2)**2/4
Suppose 2*d**3/7 + 92*d**2/7 + 1378*d/7 + 6760/7 = 0. What is d?
-20, -13
Factor -y**2 - 104*y - 2704.
-(y + 52)**2
Factor 4*t**2/5 + 8*t/5 + 4/5.
4*(t + 1)**2/5
Suppose 4*i**3/15 + 46*i**2/15 + 4*i/3 - 22/15 = 0. Calculate i.
-11, -1, 1/2
Suppose f**2 + 416*f + 43264 = 0. Calculate f.
-208
Factor -v**5/2 + 21*v**4 + 43*v**3/2.
-v**3*(v - 43)*(v + 1)/2
What is d in d**5/4 - 9*d**4/4 + 15*d**3/2 - 23*d**2/2 + 33*d/4 - 9/4 = 0?
1, 3
Solve -3*t**2 + 57*t - 270 = 0 for t.
9, 10
Factor -2*y**2/3 - 6*y - 28/3.
-2*(y + 2)*(y + 7)/3
Determine c so that -6*c**3/11 + 142*c**2/11 - 90*c/11 - 46/11 = 0.
-1/3, 1, 23
Factor 3*i**2/4 - 9*i - 21.
3*(i - 14)*(i + 2)/4
Solve -f**4/2 - 487*f**3/2 + 1969*f**2/2 + 2455*f/2 = 0 for f.
-491, -1, 0, 5
Find c such that 3*c**3 + 507*c**2 + 21165*c - 21675 = 0.
-85, 1
Suppose -r**4/2 + 33*r**3/4 - 91*r**2/4 - 99*r/2 - 18 = 0. What is r?
-1, -1/2, 6, 12
Determine k so that 3*k**5/4 + 6*k**4 - 57*k**3/4 + 15*k**2/2 = 0.
-10, 0, 1
Factor -3*y**2/7 - 8472*y/7 - 5981232/7.
-3*(y + 1412)**2/7
What is w in -5*w**5 + 100*w**4 + 1185*w**3 + 3400*w**2 + 2320*w = 0?
-4, -1, 0, 29
Suppose 16*r**5/9 - 10*r**4/9 - 6*r**3 + 62*r**2/9 - 2*r/9 - 4/3 = 0. What is r?
-2, -3/8, 1
Suppose -78125*s**4 + 77625*s**3 + 783746*s**2/5 + 5004*s/5 + 8/5 = 0. What is s?
-1, -2/625, 2
Determine c so that -2*c**3/5 + 356*c**2/5 - 3096*c - 6480 = 0.
-2, 90
Factor -3*a**3 - 42*a**2 + 336*a - 480.
-3*(a - 4)*(a - 2)*(a + 20)
Suppose 2*i**2 - 52*i + 96 = 0. Calculate i.
2, 24
Suppose 4*o**2 + 276*o - 864 = 0. What is o?
-72, 3
Determine s so that -s**5/3 - 7*s**4/3 - 4*s**3 + 4*s**2/3 + 16*s/3 = 0.
-4, -2, 0, 1
Factor 4*l**3 - 31472*l**2 + 61905424*l.
4*l*(l - 3934)**2
Solve -2*s**3/3 + 30*s**2 - 574*s/3 - 222 = 0 for s.
-1, 9, 37
Factor 4*u**3/3 - 48*u**2 - 988*u/3 - 280.
4*(u - 42)*(u + 1)*(u + 5)/3
Let -t**5/8 + 7*t**4/8 + 21*t**3/4 + 13*t**2/4 - 41*t/8 - 33/8 = 0. What is t?
-3, -1, 1, 11
Let -5*a**3 - 90*a**2 - 165*a + 2420 = 0. What is a?
-11, 4
Factor t**3/4 - 7*t**2 - 3*t/4 + 405/2.
(t - 27)*(t - 6)*(t + 5)/4
Let 2*k**5/11 + 30*k**4/11 + 46*k**3/11 - 94*k**2/11 - 216*k/11 - 104/11 = 0. Calculate k.
-13, -2, -1, 2
Factor q**2 - 1062*q + 2120.
(q - 1060)*(q - 2)
Find u such that -3*u**2 + 93*u - 90 = 0.
1, 30
Factor h**4 - 3*h**3 - 31*h**2/4 + 21*h/2 + 18.
(h - 4)*(h - 2)*(2*h + 3)**2/4
Let -d**4 + 732*d**3 + 2939*d**2 + 3678*d + 1472 = 0. What is d?
-2, -1, 736
Determine z so that -4*z**3 - 32*z**2 - 20*z + 56 = 0.
-7, -2, 1
Factor v**2/7 + 9*v/7 - 136/7.
(v - 8)*(v + 17)/7
What is v in 5*v**4 - 10*v**3 + 5*v**2 = 0?
0, 1
Suppose 8*j**5 - 14*j**4 - 2*j**3 + 14*j**2 - 6*j = 0. Calculate j.
-1, 0, 3/4, 1
Factor -5*c**3 - 135*c**2 - 370*c - 240.
-5*(c + 1)*(c + 2)*(c + 24)
What is z in 55*z**4 - 120*z**3 + 20*z**2 = 0?
0, 2/11, 2
Factor -2*v**3 + 604*v**2 - 1200*v.
-2*v*(v - 300)*(v - 2)
Factor m**5/2 + 37*m**4/2 + 183*m**3/2 - 781*m**2/2 + 430*m - 150.
(m - 1)**3*(m + 10)*(m + 30)/2
Determine d, given that -4*d**2/3 + 256*d - 12288 = 0.
96
Let r**3 + 188*r**2 - 189*r = 0. Calculate r.
-189, 0, 1
Factor q**5 - 8*q**4 - 3*q**3 + 26*q**2 - 16*q.
q*(q - 8)*(q - 1)**2*(q + 2)
What is f in -15*f**5 - 620*f**4 - 1365*f**3 + 20*f**2 + 780*f = 0?
-39, -2, -1, 0, 2/3
Factor -2*h**2/3 + 1892*h - 1342374.
-2*(h - 1419)**2/3
Let q**2/7 - 132*q/7 + 4356/7 = 0. Calculate q.
66
Suppose 2*j**3/3 - 70*j**2/3 + 176*j/3 + 2904 = 0. Calculate j.
-9, 22
Factor 2*q**4 + 2*q**3 - 8*q**2 - 8*q.
2*q*(q - 2)*(q + 1)*(q + 2)
Factor -3*j**4 - 72*j**3 + 78*j**2 + 72*j - 75.
-3*(j - 1)**2*(j + 1)*(j + 25)
Factor -5*n**2 - 1445*n - 2870.
-5*(n + 2)*(n + 287)
Factor 3*g**4 - 358*g**3 + 14160*g**2 - 182400*g - 128000.
(g - 40)**3*(3*g + 2)
Factor 2*a**3/3 - 8*a**2 + 6*a + 44/3.
2*(a - 11)*(a - 2)*(a + 1)/3
Factor -3*p**2 - 798*p - 53067.
-3*(p + 133)**2
Suppose -2*v**5/5 - 12*v**4/5 + 6*v**3/5 + 8*v**2 + 24*v/5 = 0. Calculate v.
-6, -1, 0, 2
Factor -t**4/7 - 11*t**3/7 - 18*t**2/7 + 108*t/7 + 216/7.
-(t - 3)*(t + 2)*(t + 6)**2/7
Let -7*o**5/8 - 9*o**4/8 - o**3/4 = 0. What is o?
-1, -2/7, 0
Factor l**2/4 - 9*l/4 + 9/2.
(l - 6)*(l - 3)/4
Factor s**4 - 16*s**3 + 13*s**2 + 246*s - 504.
(s - 14)*(s - 3)**2*(s + 4)
Suppose -6*m**3 + 57*m**2 + 171*m + 108 = 0. Calculate m.
-3/2, -1, 12
Find z such that 12*z**5 - 3*z**4 - 36*z**3 + 33*z**2 - 6*z = 0.
-2, 0, 1/4, 1
Determine d so that -4*d**5 - 28*d**4 + 56*d**3 + 192*d**2 = 0.
-8, -2, 0, 3
Factor n**2/4 + 415*n + 172225.
(n + 830)**2/4
Factor 3*o**2/8 + 21*o/4 + 147/8.
3*(o + 7)**2/8
Suppose -4*s**5 + 36