t 340*b**2 + 1028*b + 24 = 0.
-3, -2/85
Factor y**4/2 + 7*y**3/2 + 3*y**2/2 - 31*y/2 + 10.
(y - 1)**2*(y + 4)*(y + 5)/2
Let 285*t**3 + 125*t**2 - 180*t - 20 = 0. Calculate t.
-1, -2/19, 2/3
Factor -28*r**3 + 16*r**2 + 28*r - 16.
-4*(r - 1)*(r + 1)*(7*r - 4)
Suppose -2*q**4/5 - 10*q**3 - 136*q**2/5 - 88*q/5 = 0. What is q?
-22, -2, -1, 0
Suppose -144*o**3 - 15912*o**2 - 586092*o - 21587722/3 = 0. What is o?
-221/6
Determine z, given that z**2/5 - 5 = 0.
-5, 5
Factor -t**3/3 + 2*t**2/3 + 11*t - 30.
-(t - 5)*(t - 3)*(t + 6)/3
Solve 2*f**3/5 + 2*f**2 - 26*f/5 + 14/5 = 0.
-7, 1
Factor -2*f**2 - 26*f + 60.
-2*(f - 2)*(f + 15)
Factor -3*k**4/2 + 9*k**2 - 12*k + 9/2.
-3*(k - 1)**3*(k + 3)/2
Determine f so that f**3/6 - 17*f**2/6 + 40*f/3 - 32/3 = 0.
1, 8
Factor -6*u**4 - 15*u**3 - 12*u**2 - 3*u.
-3*u*(u + 1)**2*(2*u + 1)
Let -4*i**5 + 35*i**4/3 + 4*i**3 - 29*i**2/3 + 2*i = 0. What is i?
-1, 0, 1/4, 2/3, 3
Solve y**3 - 218*y**2 - 221*y + 438 = 0 for y.
-2, 1, 219
Suppose 8*i**4 + 292*i**3 + 3628*i**2 + 16412*i + 13068 = 0. Calculate i.
-27/2, -11, -1
Let -2*w**2/9 - 2*w/3 - 4/9 = 0. Calculate w.
-2, -1
Solve 9*r**2 + 282*r - 192 = 0 for r.
-32, 2/3
Factor t**4 - 223*t**3 + 222*t**2.
t**2*(t - 222)*(t - 1)
What is u in u**4 + 9*u**3 + 13*u**2 - 9*u - 14 = 0?
-7, -2, -1, 1
Factor -2*x**2/3 - 6*x.
-2*x*(x + 9)/3
Factor 4*w**2 + 76*w + 280.
4*(w + 5)*(w + 14)
Factor a**3 - 268*a**2 + 18480*a - 69696.
(a - 132)**2*(a - 4)
What is i in -5*i**5 - 35*i**4 - 35*i**3 + 115*i**2 + 40*i - 80 = 0?
-4, -1, 1
Let -8*v**3/5 - 94*v**2/5 + 128*v/5 - 26/5 = 0. What is v?
-13, 1/4, 1
Solve -3*v**4 - 3*v**3 + 30*v**2 - 24*v = 0 for v.
-4, 0, 1, 2
Factor -5*p**5 - 55*p**4 - 50*p**3.
-5*p**3*(p + 1)*(p + 10)
What is n in 2*n**4 - 168*n**3 + 3692*n**2 - 6888*n + 3362 = 0?
1, 41
Let -125*t**3/6 + 4045*t**2/2 - 485*t/3 = 0. Calculate t.
0, 2/25, 97
Determine x, given that -x**3/2 - 57*x**2/2 + 117*x/2 - 59/2 = 0.
-59, 1
Find v, given that 41*v**2/4 - 43*v/4 + 1/2 = 0.
2/41, 1
Factor f**2/2 + 5*f/2 - 42.
(f - 7)*(f + 12)/2
Determine x, given that 3*x**5 - 21*x**4 + 42*x**3 - 24*x**2 = 0.
0, 1, 2, 4
Determine p so that -3*p**4 + 12*p**3 + 21*p**2 - 66*p - 72 = 0.
-2, -1, 3, 4
Suppose 2*y**3 + 10*y**2/7 - 424*y/7 + 120/7 = 0. Calculate y.
-6, 2/7, 5
Let 8*r**5 - 24*r**4 + 10*r**3 + 20*r**2 - 18*r + 4 = 0. What is r?
-1, 1/2, 1, 2
Factor -f**2/3 + 4/3.
-(f - 2)*(f + 2)/3
Factor -y**3 - 12*y**2 + 100*y - 144.
-(y - 4)*(y - 2)*(y + 18)
Determine m, given that 2*m**2/5 + 832*m/5 + 86528/5 = 0.
-208
Solve -50*c**3/7 + 730*c**2 + 4112*c/7 + 824/7 = 0 for c.
-2/5, 103
Factor 2*v**4/9 + 170*v**3/9 - 356*v**2/3 + 2168*v/9 - 1456/9.
2*(v - 2)**3*(v + 91)/9
Let 81*l**5 - 387*l**4 + 559*l**3 - 185*l**2 - 64*l - 4 = 0. Calculate l.
-1/9, 1, 2
Factor -2*l**3 + 22*l**2 + 52*l.
-2*l*(l - 13)*(l + 2)
Determine m, given that 2*m**2 + 1784*m + 397832 = 0.
-446
Find d such that 2*d**3 + 158*d**2/5 + 248*d/5 - 56/5 = 0.
-14, -2, 1/5
Factor -4*p**2 - 92*p + 560.
-4*(p - 5)*(p + 28)
Factor -u**2/4 - 49*u/4 + 403/2.
-(u - 13)*(u + 62)/4
Factor -q**2/10 + 193*q/5 + 388/5.
-(q - 388)*(q + 2)/10
Determine q so that -4*q**4 + 172*q**3 + 2448*q**2 + 10304*q + 14080 = 0.
-4, 55
What is s in 2*s**2/15 + 28*s/15 = 0?
-14, 0
Determine p so that -4*p**3 + 100*p**2 - 812*p + 2156 = 0.
7, 11
What is v in -v**5/4 - 2*v**4 - 9*v**3/2 - 4*v**2 - 5*v/4 = 0?
-5, -1, 0
Let 3*t**4/5 + 42*t**3/5 + 21*t**2 + 66*t/5 = 0. What is t?
-11, -2, -1, 0
Factor 2*f**5/3 + 10*f**4/3 + 16*f**3/3 + 8*f**2/3.
2*f**2*(f + 1)*(f + 2)**2/3
Suppose 20*r**4 - 132*r**3 + 144*r**2 + 80*r = 0. What is r?
-2/5, 0, 2, 5
Determine c, given that 12*c**5/5 + 39*c**4/5 - 3*c**3/5 - 39*c**2/5 - 9*c/5 = 0.
-3, -1, -1/4, 0, 1
Solve 12*j**4 - 39*j**3 - 855*j**2 + 4104*j - 972 = 0.
-9, 1/4, 6
Solve 2*f**4/7 - 86*f**3/21 + 58*f**2/3 - 222*f/7 + 60/7 = 0.
1/3, 3, 5, 6
Factor 5*a**5 - 25*a**4 + 5*a**3 + 85*a**2 - 110*a + 40.
5*(a - 4)*(a - 1)**3*(a + 2)
Factor m**4/8 - 11*m**3/8 + 35*m**2/8 - 25*m/8.
m*(m - 5)**2*(m - 1)/8
Suppose 2*f**3 + 748*f**2 + 69938*f = 0. Calculate f.
-187, 0
Factor -3*w**2 - 156*w - 300.
-3*(w + 2)*(w + 50)
Determine u, given that -4*u**3 + 200*u**2 + 4*u - 200 = 0.
-1, 1, 50
Factor -4*j**3 - 124*j**2 - 112*j + 240.
-4*(j - 1)*(j + 2)*(j + 30)
Let q**2 + 23*q - 50 = 0. Calculate q.
-25, 2
Factor 2*k**3/3 - 26*k**2 - 84*k.
2*k*(k - 42)*(k + 3)/3
Find f, given that -f**2/5 + 36*f/5 - 7 = 0.
1, 35
Factor -24*v**3 + 135*v**2 + 261*v - 210.
-3*(v - 7)*(v + 2)*(8*v - 5)
Find b, given that -b**5 + 10*b**4 - 29*b**3 + 32*b**2 - 12*b = 0.
0, 1, 2, 6
Suppose -3*q**2/2 - 81*q + 165/2 = 0. What is q?
-55, 1
Suppose -2*g**3/5 + 4*g**2 - 10*g = 0. Calculate g.
0, 5
Find l, given that l**3/2 - l**2/2 = 0.
0, 1
Suppose 3*d**3 + 129*d**2 + 1560*d + 3600 = 0. What is d?
-20, -3
Solve 3*g**2/8 - 27*g/4 - 78 = 0.
-8, 26
Suppose -q**2/6 - 26*q/3 + 53/6 = 0. What is q?
-53, 1
What is x in -1536640*x**5 - 3664416*x**4 - 2709594*x**3 - 572536*x**2 + 9246*x - 36 = 0?
-1, -2/5, 3/392
Factor 4*d**5 - 5*d**4 - 3*d**3 + 5*d**2 - d.
d*(d - 1)**2*(d + 1)*(4*d - 1)
Find v, given that -v**3/2 - 517*v**2/2 = 0.
-517, 0
Factor -2*q**3/3 + 146*q**2/3 + 608*q/3 + 616/3.
-2*(q - 77)*(q + 2)**2/3
Factor -s**5/2 - s**4 + 9*s**3 - 16*s**2 + 23*s/2 - 3.
-(s - 1)**4*(s + 6)/2
Solve 21*w**4/2 + 18*w**3 + 9*w**2/2 - 3*w = 0 for w.
-1, 0, 2/7
Let -q**4 - 5*q**3 - 3*q**2 + 5*q + 4 = 0. What is q?
-4, -1, 1
Factor 3*n**2/4 - 15*n/2 + 75/4.
3*(n - 5)**2/4
Let -8*q**4/3 + 328*q**3/3 - 3818*q**2/3 + 3116*q - 2166 = 0. Calculate q.
3/2, 19
Determine s, given that -3*s**4 + 282*s**3 - 6036*s**2 - 27930*s - 21609 = 0.
-3, -1, 49
Suppose -3*x**3 + 36*x**2 + 3*x - 36 = 0. What is x?
-1, 1, 12
Let -4*a**2/7 - 5532*a/7 = 0. What is a?
-1383, 0
Factor 10*x**3/11 + 8*x**2/11.
2*x**2*(5*x + 4)/11
Factor h**5 + 29*h**4.
h**4*(h + 29)
Factor -2*c**4 - 152*c**3 - 420*c**2 + 1304*c - 730.
-2*(c - 1)**2*(c + 5)*(c + 73)
Solve -3*a**4 - 2346*a**3 - 456291*a**2 + 919632*a - 460992 = 0.
-392, 1
Determine p so that 5*p**4 - 25*p**3 + 15*p**2 + 45*p = 0.
-1, 0, 3
Factor -r**2/3 - 40*r/3 + 41/3.
-(r - 1)*(r + 41)/3
What is c in -c**2/8 - 20*c = 0?
-160, 0
Find n such that -9*n**2 - n + 10 = 0.
-10/9, 1
Solve -2*l**5/3 + 6*l**4 - 58*l**3/3 + 26*l**2 - 12*l = 0.
0, 1, 2, 3
Suppose -j**2/4 - 19*j/4 + 5 = 0. What is j?
-20, 1
Let 3*t**4 - 423*t**3 + 396*t**2 + 3396*t - 5040 = 0. What is t?
-3, 2, 140
Let -5*b**3 + 2835*b**2 - 5655*b + 2825 = 0. Calculate b.
1, 565
Let -r**4/4 + 367*r**3/4 + 933*r**2/2 - 558*r = 0. What is r?
-6, 0, 1, 372
Factor 4*s**4 + 288*s**3 + 4888*s**2 - 10656*s + 5476.
4*(s - 1)**2*(s + 37)**2
Let 2*a**5/9 + 8*a**4/3 + 98*a**3/9 + 44*a**2/3 - 64*a/9 - 64/3 = 0. Calculate a.
-4, -3, -2, 1
Factor -3*z**3/2 + 33*z**2/2 + 531*z + 1404.
-3*(z - 26)*(z + 3)*(z + 12)/2
Factor o**3/2 - 3*o**2 + 5*o/2.
o*(o - 5)*(o - 1)/2
Suppose 2*x**3 - 60*x**2 - 266*x - 204 = 0. What is x?
-3, -1, 34
Factor 3*r**2/4 - 27*r/8 - 15/8.
3*(r - 5)*(2*r + 1)/8
Find v such that -2*v**2/5 - 166*v/5 - 292 = 0.
-73, -10
Solve 2*r**5 - 6*r**4 - 14*r**3 + 22*r**2 + 12*r - 16 = 0 for r.
-2, -1, 1, 4
Factor -2*j**3/3 - 20*j**2/3 - 58*j/3 - 40/3.
-2*(j + 1)*(j + 4)*(j + 5)/3
Factor -5*a**3 + 105*a**2 - 420*a - 1300.
-5*(a - 13)*(a - 10)*(a + 2)
Factor -4*c**4 - 56*c**3 - 180*c**2 + 224*c + 784.
-4*(c - 2)*(c + 2)*(c + 7)**2
Suppose 4*j**4/3 - 4*j**3/3 - 3*j**2 + j/3 + 2/3 = 0. Calculate j.
-1, -1/2, 1/2, 2
Factor -5*q**3 + 20*q**2 - 15*q.
-5*q*(q - 3)*(q - 1)
Factor 12*h**4 + 87*h**3 + 75*h**2.
3*h**2*(h + 1)*(4*h + 25)
Suppose -2*l**5/21 - 4*l**4/3 - 4*l**3 - 32*l**2/21 + 86*l/21 + 20/7 = 0. Calculate l.
-10, -3, -1, 1
Factor -4*r**3 - 2632*r**2 - 438180*r - 1710864.
-4*(r + 4)*(r + 327)**2
Solve 2*k**4 - 99*k**3/4 - 17*k**2 + 39*k/4 = 0.
-1, 0, 3/8, 13
Determine u so that 2*u**3/5 - 18*u**2/5 + 46*u/5 - 6 = 0.
1, 3, 5
Factor -2*h**3 + 292*h**2 + 294*h.
-2*h*(h - 147)*(h + 1)
Factor -81*v**5/4 + 117*v**4/4 - 10*v**3 + v**2.
-v**2*(v - 1)*(9*v - 2)**2/4
Let 12*x**5/7 + 152*x**4/7 - 60*x**3/7 - 104*x**2/7 = 0. What is x?
-13, -2/3, 0, 1
What is t in 2*t**4/5 + 18*t**3/5 + 54*t**2/5 + 62*t/5 + 24/5 = 0?
-4, -3, -1
Factor -o**5 - 26*o**4 - 137*o**3 + 476*o**2 + 588*o.
-o*(o - 3)*(o + 1)*(o + 14)**2
Factor -z**4/8 - 49*z