z**2 - 1023*z + 410 = 0.
-205, 2/5
Find f, given that f**3/5 - 48*f/5 - 128/5 = 0.
-4, 8
Let -3*i**4 - 225*i**3 - 864*i**2 - 852*i = 0. What is i?
-71, -2, 0
Factor b**5 - 42*b**4 - 187*b**3 + 120*b**2 + 828*b.
b*(b - 46)*(b - 2)*(b + 3)**2
Factor p**4/4 + p**3 + 5*p**2/4 + p/2.
p*(p + 1)**2*(p + 2)/4
Solve -3*c**5 + 273*c**4 + 1416*c**3 + 2292*c**2 + 1152*c = 0.
-2, -1, 0, 96
Determine m so that -m**3/2 + 1455*m**2 - 1411350*m + 456336500 = 0.
970
Factor -3*f**4/7 - 282*f**3/7 - 555*f**2/7 - 276*f/7.
-3*f*(f + 1)**2*(f + 92)/7
Let -w**3/7 + 3*w**2 + 22*w/7 = 0. Calculate w.
-1, 0, 22
What is h in 4*h**2 + 8*h - 32 = 0?
-4, 2
Factor 21*q**2 + 876*q - 252.
3*(q + 42)*(7*q - 2)
Find b, given that 2*b**2/9 + 448*b + 225792 = 0.
-1008
Solve 2*g**2 + 262*g + 260 = 0 for g.
-130, -1
Factor -4*v**3 - 12*v**2 + 16.
-4*(v - 1)*(v + 2)**2
Factor -9*g**2/4 + 1185*g/4 + 99.
-3*(g - 132)*(3*g + 1)/4
Find c such that -10*c**5 + 205*c**4 - 1455*c**3 + 3955*c**2 - 2695*c = 0.
0, 1, 11/2, 7
Factor 3*q**5/5 - 3*q**4 + 12*q**3/5.
3*q**3*(q - 4)*(q - 1)/5
Determine b, given that -9*b**5/8 + 375*b**4/8 - 123*b**3/4 = 0.
0, 2/3, 41
What is s in 2*s**3 - 66*s**2 - 450*s - 702 = 0?
-3, 39
Determine r so that -4*r**2 - 84*r = 0.
-21, 0
Suppose -4*q**2 + 440*q - 436 = 0. What is q?
1, 109
Suppose -5*g**5 - 15*g**4 - 15*g**3 - 5*g**2 = 0. Calculate g.
-1, 0
Solve 2*p**4/9 + 2*p**3 + 40*p**2/9 + 8*p/3 = 0.
-6, -2, -1, 0
Solve 2*s**5/5 + 18*s**4/5 + 48*s**3/5 + 8*s**2 = 0 for s.
-5, -2, 0
Suppose f**3/5 - 8*f**2/5 - 19*f/5 - 2 = 0. Calculate f.
-1, 10
Factor -2*x**5 - 58*x**4 - 162*x**3 - 158*x**2 - 52*x.
-2*x*(x + 1)**3*(x + 26)
Let -12*i**4 - 40*i**3 + 36*i**2 + 16*i = 0. What is i?
-4, -1/3, 0, 1
Find r such that -2*r**3 - 16*r**2 = 0.
-8, 0
Factor -4*b**3 - 492*b**2 - 15372*b - 14884.
-4*(b + 1)*(b + 61)**2
Factor -k**3/5 - 8*k**2/5 - k + 14/5.
-(k - 1)*(k + 2)*(k + 7)/5
Factor 4*v**3 + 404*v**2 + 1936*v + 1536.
4*(v + 1)*(v + 4)*(v + 96)
Find r, given that -2*r**5 + 38*r**4 - 174*r**3 + 234*r**2 = 0.
0, 3, 13
Factor -2*q**2 + 48*q + 104.
-2*(q - 26)*(q + 2)
Find x such that -10*x**5 + 66*x**4/7 + 74*x**3/7 - 66*x**2/7 - 4*x/7 = 0.
-1, -2/35, 0, 1
Find c, given that 2*c**5/11 + 14*c**4/11 + 34*c**3/11 + 34*c**2/11 + 12*c/11 = 0.
-3, -2, -1, 0
Factor -30*g**3 - 214*g**2 - 212*g - 48.
-2*(g + 6)*(3*g + 1)*(5*g + 4)
Factor -12*r**4 + 32*r**3 - 28*r**2 + 8*r.
-4*r*(r - 1)**2*(3*r - 2)
Factor -3*t**5 + 18*t**3 - 24*t**2 + 9*t.
-3*t*(t - 1)**3*(t + 3)
Factor 3*z**3/7 - 1023*z**2/7 - 294*z.
3*z*(z - 343)*(z + 2)/7
Determine w so that 3*w**4 - 285*w**3/4 - 99*w**2 + 519*w/4 + 75/2 = 0.
-2, -1/4, 1, 25
Let 4*z**2 - 4544*z = 0. Calculate z.
0, 1136
Factor 2*t**2/15 + 16*t/5 + 46/15.
2*(t + 1)*(t + 23)/15
Find r such that 2*r**4 - 26*r**3 + 24*r**2 = 0.
0, 1, 12
Find n, given that 3*n**4 + 12*n**3 - 3*n**2 - 12*n = 0.
-4, -1, 0, 1
Factor o**3 - 4613*o**2 + 5317635*o + 5322249.
(o - 2307)**2*(o + 1)
Find y such that -2*y**4 + 30*y**3 - 28*y**2 = 0.
0, 1, 14
Determine o so that -o**3 + 15*o**2 + o - 15 = 0.
-1, 1, 15
What is q in 2*q**5/3 + 8*q**4/3 - 2*q**3 - 28*q**2/3 - 16*q/3 = 0?
-4, -1, 0, 2
Determine z, given that 5*z**3 - 1600*z**2 + 126385*z + 259210 = 0.
-2, 161
Factor 5*v**2 - 5*v - 150.
5*(v - 6)*(v + 5)
Find v, given that 2*v**2/11 - 178*v/11 - 552/11 = 0.
-3, 92
Find k, given that 9*k**2/2 + 3*k/4 = 0.
-1/6, 0
Factor -z**5/5 + 310*z**4 - 1238*z**3 + 1856*z**2 - 1237*z + 1546/5.
-(z - 1546)*(z - 1)**4/5
Factor 2*o**2/17 + 834*o/17 + 832/17.
2*(o + 1)*(o + 416)/17
Factor 4*q**5 + 28*q**4 - 12*q**3 - 92*q**2 - 56*q.
4*q*(q - 2)*(q + 1)**2*(q + 7)
Let c**2 - 78*c + 1521 = 0. What is c?
39
Find f such that -5*f**5 + 5*f**4 + 15*f**3 - 5*f**2 - 10*f = 0.
-1, 0, 1, 2
Factor 5*q**3 - 24855*q**2 + 49695*q - 24845.
5*(q - 4969)*(q - 1)**2
Solve 4*v**3 - 142*v**2 - 84*v + 432 = 0.
-2, 3/2, 36
Suppose -3*m**3 + 144*m**2 - 528*m = 0. What is m?
0, 4, 44
Suppose 4*l**3 + 32*l**2 - 36*l = 0. What is l?
-9, 0, 1
Factor f**4/5 + 2*f**3/5 - 27*f**2/5 - 56*f/5 + 16.
(f - 5)*(f - 1)*(f + 4)**2/5
What is m in 3*m**2/5 + 104*m/5 + 68/5 = 0?
-34, -2/3
Find u such that -2*u**2 - 33*u/2 + 35 = 0.
-10, 7/4
Let -z**3/5 - 6*z**2 - 83*z/5 - 54/5 = 0. Calculate z.
-27, -2, -1
Determine o, given that 4*o**3 - 152*o**2 - 1056*o = 0.
-6, 0, 44
Factor -237276*o**3 - 73008*o**2 - 7488*o - 256.
-4*(39*o + 4)**3
Factor -3*h**3 - 3*h**2 + 180*h - 324.
-3*(h - 6)*(h - 2)*(h + 9)
What is b in 4*b**3 + 204*b**2 + 768*b + 752 = 0?
-47, -2
Find p such that -p**2/2 - 5999*p - 35988001/2 = 0.
-5999
Suppose 6*d**2/5 - 26931*d/5 - 13467/5 = 0. Calculate d.
-1/2, 4489
Factor 3*p**2/2 + 135*p/2 + 66.
3*(p + 1)*(p + 44)/2
Factor 5*a**2/9 - 26*a/9 - 8/3.
(a - 6)*(5*a + 4)/9
Factor 2*h**2/3 - 28*h/3 + 98/3.
2*(h - 7)**2/3
Let g**3/2 + g**2/2 - 5*g + 4 = 0. What is g?
-4, 1, 2
Solve -2*k**3 - 4*k**2 + 30*k = 0.
-5, 0, 3
Suppose 3*h**5 + 26*h**4 + 4*h**3 - 104*h**2 - 64*h = 0. Calculate h.
-8, -2, -2/3, 0, 2
Determine s, given that -4*s**3 + 656*s**2 = 0.
0, 164
Determine n, given that -4*n**5 + 52*n**4 - 232*n**3 + 432*n**2 - 288*n = 0.
0, 2, 3, 6
Factor u**4/4 + 9*u**3/4 + 7*u**2/4 - 9*u/4 - 2.
(u - 1)*(u + 1)**2*(u + 8)/4
Find i such that -9*i**2 - 4692*i - 1563 = 0.
-521, -1/3
Find z, given that 3*z**2 + 30*z - 225 = 0.
-15, 5
Let -4*g**5/13 + 162*g**4/13 + 94*g**3/13 - 478*g**2/13 - 570*g/13 - 164/13 = 0. What is g?
-1, -1/2, 2, 41
What is p in -4*p**4 + 112*p**3 + 512*p**2 = 0?
-4, 0, 32
Find a, given that -3*a**2 - 15*a + 150 = 0.
-10, 5
Factor 4*c**5 - 1948*c**4 + 357192*c**3 - 29399128*c**2 + 942470452*c - 2572306572.
4*(c - 121)**4*(c - 3)
What is g in 55*g**5 - 155*g**4 - 1570*g**3 - 280*g**2 = 0?
-4, -2/11, 0, 7
Solve 2*u**3 - 13250*u**2/3 + 2439104*u - 812544 = 0.
1/3, 1104
Solve 10*q**5 + 124*q**4 + 508*q**3 + 784*q**2 + 490*q + 100 = 0.
-5, -1, -2/5
Solve 6*t**2/7 + 4*t/7 - 2/7 = 0.
-1, 1/3
Determine o so that 2*o**3 - 148*o**2/3 + 550*o/3 + 200/3 = 0.
-1/3, 5, 20
Find n such that -5*n**2 - 37290*n - 69527205 = 0.
-3729
Factor -c**3/2 + c**2/2 + 4*c - 6.
-(c - 2)**2*(c + 3)/2
What is n in n**5/3 - 4*n**4 + 52*n**3/3 - 34*n**2 + 91*n/3 - 10 = 0?
1, 2, 3, 5
Solve -10*o**2/9 + 2*o/9 = 0 for o.
0, 1/5
Factor -3*j**4 - 9*j**3 + 9*j**2 + 21*j - 18.
-3*(j - 1)**2*(j + 2)*(j + 3)
Factor q**2 - 122*q + 3721.
(q - 61)**2
Let -3*v**3/5 + 1627*v**2/5 - 542*v/5 = 0. What is v?
0, 1/3, 542
Solve i**5 - 32*i**4 + 346*i**3 - 1640*i**2 + 3325*i - 2000 = 0.
1, 5, 16
Determine n, given that -2*n**4/13 - 682*n**3/13 - 59154*n**2/13 - 13286*n - 8788 = 0.
-169, -2, -1
Find o, given that -3*o**4/2 + 21*o**3/2 + 171*o**2/2 - 1365*o/2 + 588 = 0.
-8, 1, 7
Suppose -4*w**2/5 - 4*w/5 = 0. What is w?
-1, 0
Factor -3*s**3 + 7524*s**2 - 6290064*s + 1752831168.
-3*(s - 836)**3
What is d in 98*d**4/11 - 2982*d**3/11 - 4864*d**2/11 - 2040*d/11 - 256/11 = 0?
-1, -2/7, 32
Factor -2*c**3/15 - 2612*c**2/15 - 852818*c/15.
-2*c*(c + 653)**2/15
Solve -2*j**4/13 - 24*j**3/13 - 68*j**2/13 + 24*j/13 + 70/13 = 0 for j.
-7, -5, -1, 1
Factor 4*j**2 + 136*j - 140.
4*(j - 1)*(j + 35)
Factor -u**2 - 50*u - 625.
-(u + 25)**2
Find z, given that -2*z**5 + 2*z**4 + 6*z**3 - 10*z**2 + 4*z = 0.
-2, 0, 1
Let -30*m**3/7 + 4*m**2 + 120*m/7 - 16 = 0. What is m?
-2, 14/15, 2
Solve -21*n**2 - 128*n - 12 = 0.
-6, -2/21
Solve -2*d**2/21 + 50*d/21 + 8 = 0 for d.
-3, 28
Solve -4*p**4 + 276*p**3 - 1560*p**2 + 3056*p - 2016 = 0 for p.
2, 63
Factor 2*y**2 - 190*y + 1700.
2*(y - 85)*(y - 10)
Factor -231*w**2 - 6*w.
-3*w*(77*w + 2)
Factor d**5 - 4*d**4 - 6*d**3 + 36*d**2 - 27*d.
d*(d - 3)**2*(d - 1)*(d + 3)
What is w in 2*w**2/7 - 7608*w/7 - 7610/7 = 0?
-1, 3805
Suppose 147*k**3/8 + 2541*k**2/4 + 717*k/2 + 51 = 0. What is k?
-34, -2/7
Factor -7*m**3/2 - 61*m**2/2 + 191*m - 52.
-(m - 4)*(m + 13)*(7*m - 2)/2
Factor -5*o**3 + 65*o**2 + 325*o + 255.
-5*(o - 17)*(o + 1)*(o + 3)
Find a, given that -2*a**5 + 30*a**4 + 10*a**3 - 150*a**2 - 8*a + 120 = 0.
-2, -1, 1, 2, 15
Solve 3*p**2/2 + 9426*p + 14808246 = 0.
-3142
Let 4*g**2/3 - 140*g/3 + 136/3 = 0. Calculate g.
1, 34
What is z in -3*z**4/7 - 309*z**3/7 - 7128*z**2/7 + 43740*z/7 = 0?
-54, 0, 5
Factor r**2/3 + 160*r + 956/3.
(r + 2)*(r + 478)/3
Let -4*c**4 - 20*c**3 + 100*c**2 + 20*c - 96 = 0. What is c?
-8, -1, 1, 3
Solve m**3/