ven that 2*b**5 - 12*b**4 + 18*b**3 - 8*b**2 = 0.
0, 1, 4
Find r, given that -r**3/3 - 67*r**2/3 - 84*r = 0.
-63, -4, 0
Let 4*c**2 + 4088*c + 1044484 = 0. What is c?
-511
Solve -d**5/3 + 11*d**4/3 - 26*d**3/3 + 16*d**2/3 = 0.
0, 1, 2, 8
Suppose v**5/3 - 2*v**4 - 11*v**3/3 + 48*v**2 - 332*v/3 + 80 = 0. What is v?
-5, 2, 3, 4
Solve 10*d**2 - 185*d - 900 = 0.
-4, 45/2
Factor q**2/2 - 11*q/2 + 5.
(q - 10)*(q - 1)/2
Factor -2*u**4/19 + 12*u**3/19 + 48*u**2/19 + 52*u/19 + 18/19.
-2*(u - 9)*(u + 1)**3/19
Factor -2*s**5 - 18*s**4 - 46*s**3 + 18*s**2 + 216*s + 216.
-2*(s - 2)*(s + 2)*(s + 3)**3
Factor -3*m**3 + 207*m**2 + 1560*m + 2736.
-3*(m - 76)*(m + 3)*(m + 4)
Suppose 5*f**4 + 210*f**3 + 1140*f**2 - 7240*f + 8160 = 0. Calculate f.
-34, -12, 2
Factor 4*h**5 + 12*h**4 + 13*h**3 + 6*h**2 + h.
h*(h + 1)**2*(2*h + 1)**2
Factor 5*c**3 - 55*c**2 + 40*c + 100.
5*(c - 10)*(c - 2)*(c + 1)
Factor -5*t**5 - 1155*t**4 - 88915*t**3 - 2278045*t**2 + 355740*t + 9130660.
-5*(t - 2)*(t + 2)*(t + 77)**3
Solve -14*t**3 - 104*t**2 - 182*t - 60 = 0.
-5, -2, -3/7
Solve -f**4/3 - 3*f**3 + 41*f**2 - 215*f/3 + 34 = 0 for f.
-17, 1, 6
Factor 3*o**2 - 6*o - 45.
3*(o - 5)*(o + 3)
Suppose k**2 + 256*k + 16384 = 0. What is k?
-128
Factor -2*m**2/3 - 86*m/3 + 92.
-2*(m - 3)*(m + 46)/3
Factor -4*j**5 + 2060*j**4 - 280300*j**3 + 3900500*j**2 - 19000000*j + 31250000.
-4*(j - 250)**2*(j - 5)**3
Find w such that -4*w**5 - 128*w**4 - 1244*w**3 - 3472*w**2 - 2352*w = 0.
-14, -3, -1, 0
Factor -4*c**2/5 - 68*c/5 - 168/5.
-4*(c + 3)*(c + 14)/5
Factor 20*c**3 + 595*c**2 + 430*c - 145.
5*(c + 1)*(c + 29)*(4*c - 1)
Factor 3*t**5 - 93*t**4 - 96*t**3.
3*t**3*(t - 32)*(t + 1)
Factor 3*q**2/5 + 327*q/5 + 642/5.
3*(q + 2)*(q + 107)/5
Factor -6*m**4 - 32*m**3/3 + 8*m**2/3.
-2*m**2*(m + 2)*(9*m - 2)/3
Find l, given that l**2 + 779*l/3 + 430 = 0.
-258, -5/3
Let -f**3/2 - 3*f**2/2 + 2*f + 6 = 0. Calculate f.
-3, -2, 2
Determine h so that 3*h**2 + 11*h - 14 = 0.
-14/3, 1
What is s in s**2 + 27*s + 92 = 0?
-23, -4
Factor d**3/4 - 42*d**2 - 169*d/4.
d*(d - 169)*(d + 1)/4
Factor 7*r**3/5 - 1198*r**2 + 1280576*r/5 + 366368/5.
(r - 428)**2*(7*r + 2)/5
Factor -5*w**2 + 545*w - 1070.
-5*(w - 107)*(w - 2)
Determine k, given that k**4 - 193*k**3 - 194*k**2 = 0.
-1, 0, 194
Suppose w**4/8 - w**3/8 - w**2/8 + w/8 = 0. What is w?
-1, 0, 1
Solve -2*t**4 - 374*t**3 - 9030*t**2 - 62738*t - 54080 = 0.
-160, -13, -1
Factor 8*h**2/11 - 1170*h/11 + 292/11.
2*(h - 146)*(4*h - 1)/11
Find l such that l**2/4 - 6*l - 13 = 0.
-2, 26
Determine u so that 2*u**4 - 2*u**3 - 14*u**2 + 2*u + 12 = 0.
-2, -1, 1, 3
Let 4*n**4 + 8*n**3 - 140*n**2 = 0. Calculate n.
-7, 0, 5
Factor s**3/3 - 22*s**2 + 605*s/3.
s*(s - 55)*(s - 11)/3
Find n such that -3*n**3/8 + 1425*n**2/8 - 711*n/4 = 0.
0, 1, 474
Factor 3*b**3/2 + 88*b**2 + 226*b + 112.
(b + 2)*(b + 56)*(3*b + 2)/2
Let -r**5/4 + 9*r**4/8 + 3*r**3/4 - 77*r**2/8 + 27*r/2 - 9/2 = 0. What is r?
-3, 1/2, 2, 3
Factor 2*m**3 - 10*m**2.
2*m**2*(m - 5)
Find l, given that -104*l**4 + 519*l**3 - 307*l**2 - 939*l - 9 = 0.
-1, -1/104, 3
Determine y, given that 5*y**2 - 110*y = 0.
0, 22
Determine s so that -9*s**2/7 - 1536*s/7 - 1020/7 = 0.
-170, -2/3
Factor -2*w**3/11 - 50*w**2/11 - 136*w/11 - 8.
-2*(w + 1)*(w + 2)*(w + 22)/11
Factor 20*f**3 + 35*f**2 - 120*f - 135.
5*(f + 1)*(f + 3)*(4*f - 9)
Determine h, given that -5*h**3 + 240*h**2 + 495*h + 250 = 0.
-1, 50
Suppose 108*f**3 + 208*f**2 - 16*f = 0. What is f?
-2, 0, 2/27
What is y in 2*y**5 + 14*y**4 + 10*y**3 - 14*y**2 - 12*y = 0?
-6, -1, 0, 1
Factor 3*i**4/5 - 606*i**3 - 3033*i**2/5.
3*i**2*(i - 1011)*(i + 1)/5
Let 3*w**5/7 - 1422*w**4/7 - 1434*w**3/7 + 4272*w**2/7 + 1431*w/7 - 2850/7 = 0. Calculate w.
-2, -1, 1, 475
Suppose -2*k**3 + 1332*k**2 + 1334*k = 0. Calculate k.
-1, 0, 667
Factor -p**3/3 + 10*p**2/3 - 11*p + 12.
-(p - 4)*(p - 3)**2/3
Solve 63*t**5 + 1382*t**4 + 7720*t**3 + 10000*t**2 - 1168*t - 672 = 0.
-14, -6, -2, -2/9, 2/7
What is w in w**5/5 - 7*w**4/5 + 3*w**3 - 9*w**2/5 = 0?
0, 1, 3
Find p, given that 6*p**4 + 159*p**3/2 + 159*p**2/2 - 129*p - 36 = 0.
-12, -2, -1/4, 1
Find c such that -c**2/7 - 941*c/7 - 1878/7 = 0.
-939, -2
Find c, given that 3*c**2 - 45*c - 228 = 0.
-4, 19
Suppose 42*x**4/5 - 124*x**3/5 + 26*x**2 - 56*x/5 + 8/5 = 0. What is x?
2/7, 2/3, 1
Factor -m**3/5 - m**2/5 + 76*m/5 - 28.
-(m - 7)*(m - 2)*(m + 10)/5
Suppose -980*c**5 - 355572*c**4 + 776528*c**3 - 70400*c**2 - 116736*c + 23360 = 0. What is c?
-365, -2/5, 2/7, 2
Factor 5*l**3 - 1980*l**2 - 3975*l - 1990.
5*(l - 398)*(l + 1)**2
Factor y**5/2 - 2*y**4 + 2*y**3 + y**2 - 5*y/2 + 1.
(y - 2)*(y - 1)**3*(y + 1)/2
What is i in 2*i**5/7 - 32*i**4/7 + 22*i**3 - 28*i**2 = 0?
0, 2, 7
Factor -y**4 - 33*y**3 - 148*y**2 - 228*y - 112.
-(y + 1)*(y + 2)**2*(y + 28)
Factor -5*h**3 - 50*h**2 - 115*h - 70.
-5*(h + 1)*(h + 2)*(h + 7)
Factor f**2 + 685*f/4 - 129.
(f + 172)*(4*f - 3)/4
Factor 2*d**3/9 - 46*d**2/9 - 1520*d/9 - 8600/9.
2*(d - 43)*(d + 10)**2/9
Let -4*w**5 + 20*w**4 + 420*w**3 - 20*w**2 - 416*w = 0. What is w?
-8, -1, 0, 1, 13
Factor -5*t**3 + 10*t**2 + 145*t - 150.
-5*(t - 6)*(t - 1)*(t + 5)
Find p such that -2*p**4/13 + 230*p**3/13 - 896*p**2/13 + 888*p/13 = 0.
0, 2, 111
Factor 3*l**5 + 462*l**4 + 17316*l**3 - 36504*l**2.
3*l**2*(l - 2)*(l + 78)**2
Solve 4*o**4 + 4*o**3 - 8*o**2 = 0 for o.
-2, 0, 1
Let -4*k**3 - 1464*k**2 - 178608*k - 7263392 = 0. Calculate k.
-122
Factor m**2/4 + 95*m/2 + 9025/4.
(m + 95)**2/4
Factor 845000*k**3/7 - 842400*k**2/7 - 2598*k/7 - 2/7.
2*(k - 1)*(650*k + 1)**2/7
Suppose 3*f**3/2 + 165*f**2/2 + 306*f = 0. Calculate f.
-51, -4, 0
Determine y, given that -5*y**3 + 195*y**2 - 1995*y + 1805 = 0.
1, 19
Suppose 5*l**5 - 350*l**4 + 7100*l**3 - 34600*l**2 + 64000*l - 40960 = 0. What is l?
2, 32
Find d, given that 4*d**3 - 24*d**2 + 36*d = 0.
0, 3
Suppose -2*j**2 - 38*j + 40 = 0. Calculate j.
-20, 1
Solve -3*m**5/2 - 45*m**4/2 - 201*m**3/2 - 387*m**2/2 - 168*m - 54 = 0.
-9, -2, -1
Suppose -3*k**4/5 - 69*k**3 - 10422*k**2/5 - 28896*k/5 - 18816/5 = 0. Calculate k.
-56, -2, -1
Factor 2*w**3 + 4*w**2 - 16*w.
2*w*(w - 2)*(w + 4)
Factor -5*k**3 - 225*k**2 - 435*k - 215.
-5*(k + 1)**2*(k + 43)
Find o such that 30*o**4/19 - 88*o**3/19 + 54*o**2/19 + 4*o/19 = 0.
-1/15, 0, 1, 2
Factor -6*f**2 + 26*f - 8.
-2*(f - 4)*(3*f - 1)
Solve -g**4/2 - 22*g**3 - 563*g**2/2 - 860*g - 600 = 0.
-20, -3, -1
Factor -3*n**3 + 39*n**2 + 444*n - 480.
-3*(n - 20)*(n - 1)*(n + 8)
Factor 2*m**3 + 99*m**2 + 958*m - 504.
(m + 14)*(m + 36)*(2*m - 1)
What is p in -2*p**5 - 2*p**4 + 36*p**3 + 100*p**2 + 94*p + 30 = 0?
-3, -1, 5
Solve 2*y**2/17 - 22*y/17 + 56/17 = 0 for y.
4, 7
Factor -5*l**3/3 + 50*l**2 + 5*l/3 - 50.
-5*(l - 30)*(l - 1)*(l + 1)/3
Find z, given that 2*z**2/9 - 86*z/3 = 0.
0, 129
Let 7*u**3/6 + 121*u**2/6 - 277*u/3 - 28 = 0. What is u?
-21, -2/7, 4
Factor -5*w**3 + 40*w**2 + 220*w + 240.
-5*(w - 12)*(w + 2)**2
Factor z**3/2 - 242*z**2 + 28290*z + 242064.
(z - 246)**2*(z + 8)/2
Let -g**2 - 712*g - 126736 = 0. Calculate g.
-356
Factor 2*a**4/9 - 164*a**3/9 + 1174*a**2/3 - 6560*a/9 + 3200/9.
2*(a - 40)**2*(a - 1)**2/9
Factor -4*f**3 + 2868*f**2 - 512652*f - 515524.
-4*(f - 359)**2*(f + 1)
What is g in -g**2/6 - 115*g/6 + 58/3 = 0?
-116, 1
Find b such that -2*b**4 + 14*b**3 - 10*b**2 - 14*b + 12 = 0.
-1, 1, 6
Factor -2*p**3/15 - 28*p**2/15 + 62*p/15 - 32/15.
-2*(p - 1)**2*(p + 16)/15
Factor -18*z**2/11 - 536*z/11 + 120/11.
-2*(z + 30)*(9*z - 2)/11
Factor -p**2/8 + 129*p/4 - 64.
-(p - 256)*(p - 2)/8
Determine i, given that -2*i**2/7 + 156*i/7 - 142 = 0.
7, 71
What is g in -g**4 + 5*g**3 + 2*g**2 - 24*g = 0?
-2, 0, 3, 4
Factor -m**4 + 77*m**3 + 237*m**2 + 239*m + 80.
-(m - 80)*(m + 1)**3
Suppose -3*g**3 - 6*g**2 - 3*g = 0. What is g?
-1, 0
Suppose -x**3/4 - 323*x**2/4 = 0. What is x?
-323, 0
Suppose -6*z**4 - 183*z**3 + 117*z**2 + 759*z + 465 = 0. Calculate z.
-31, -1, 5/2
Solve 2*b**2/7 - 26*b/7 + 72/7 = 0.
4, 9
Suppose -4*d**5 - 36*d**4 - 108*d**3 - 124*d**2 - 48*d = 0. Calculate d.
-4, -3, -1, 0
Factor -n**4/4 + n**3/4 + n**2/2.
-n**2*(n - 2)*(n + 1)/4
Factor 2*s**5/3 + 46*s**4/3 + 80*s**3 - 96*s**2.
2*s**2*(s - 1)*(s + 12)**2/3
Determine g, given that -2*g**2 - 82*g = 0.
-41, 0
Find q, given that -3*q**3/2 - 99*q**2/2 - 333*q/2 + 435/2 = 0.
-29, -5, 1
Factor -5*b**3/2 -