5*u**2 - 245*u + 250.
-5*(u - 1)*(u + 50)
Factor -4*v**5 + 444*v**4 - 1736*v**3 + 2584*v**2 - 1716*v + 428.
-4*(v - 107)*(v - 1)**4
Factor -4*c**2 - 12*c + 1512.
-4*(c - 18)*(c + 21)
Factor -2*l**4 - 280*l**3 - 12972*l**2 - 194392*l + 207646.
-2*(l - 1)*(l + 47)**3
Factor d**3/8 + 3*d**2/8 - 9*d/2 - 27/2.
(d - 6)*(d + 3)*(d + 6)/8
Factor 15*b**4 + 55*b**3 - 20*b**2.
5*b**2*(b + 4)*(3*b - 1)
Let 5*n**5 + 240*n**4 - 85*n**3 - 87360*n**2 - 87040*n = 0. What is n?
-32, -1, 0, 17
Factor 5*k**3/3 + 2*k**2/3.
k**2*(5*k + 2)/3
Suppose -70*y**4 + 1585*y**3 - 2455*y**2 + 840*y = 0. What is y?
0, 1/2, 8/7, 21
Factor -3*j**2/5 + 204*j/5 - 3468/5.
-3*(j - 34)**2/5
Suppose 10*c**4/7 + 68*c**3 + 278*c**2/7 - 188*c/7 = 0. Calculate c.
-47, -1, 0, 2/5
Factor -98*b**3/13 + 94*b**2/13 + 4*b/13.
-2*b*(b - 1)*(49*b + 2)/13
Factor -x**2/5 - 16*x/5 - 3.
-(x + 1)*(x + 15)/5
Determine g so that g**4/2 + 5*g**3/2 + 3*g**2 - 2*g - 4 = 0.
-2, 1
What is p in -4*p**2 - 8*p - 4 = 0?
-1
Factor -4*k**4 - 12*k**3 + 124*k**2 + 12*k - 504.
-4*(k - 3)**2*(k + 2)*(k + 7)
Let u**2 - 2*u - 195 = 0. Calculate u.
-13, 15
Factor 2*k**5 - 6*k**4 - 4*k**3 + 24*k**2 - 16*k.
2*k*(k - 2)**2*(k - 1)*(k + 2)
Factor -2*v**2/7 + 48*v - 2016.
-2*(v - 84)**2/7
Find h, given that -h**4/2 - 15*h**3/2 - 18*h**2 + 2*h + 24 = 0.
-12, -2, 1
Factor -5*g**3 - 220*g**2 + 1825*g + 2040.
-5*(g - 8)*(g + 1)*(g + 51)
Solve 5*g**2 - 65*g - 240 = 0.
-3, 16
Factor 5*t**3 - 10505*t**2 + 5523000*t - 5512500.
5*(t - 1050)**2*(t - 1)
Let 3*s**2 + 510*s - 1557 = 0. What is s?
-173, 3
Factor -4*k**5 - 2000*k**4 - 7960*k**3 - 11920*k**2 - 7940*k - 1984.
-4*(k + 1)**4*(k + 496)
What is i in -15*i**3/2 + 2997*i**2/2 - 152361*i/2 + 264627/2 = 0?
9/5, 99
Let 4*u**2 - 2936*u + 538756 = 0. Calculate u.
367
Find i, given that -8*i**2 + 34*i + 30 = 0.
-3/4, 5
Solve -3*w**2/4 + 15*w - 48 = 0.
4, 16
Suppose 5*h**4 - 5*h**3 - 60*h**2 + 140*h - 80 = 0. What is h?
-4, 1, 2
Factor -5*q**3/4 + 175*q**2/4 + 5*q - 175.
-5*(q - 35)*(q - 2)*(q + 2)/4
Factor -c**3/6 + 589*c**2/6.
-c**2*(c - 589)/6
Suppose h**3 + 121*h**2 + 1480*h - 147852 = 0. Calculate h.
-74, 27
Let -s**5/10 - 3*s**4/10 + 17*s**3/10 + 3*s**2/2 - 44*s/5 + 6 = 0. Calculate s.
-5, -3, 1, 2
What is f in -19*f**3/4 + 17*f**2/2 + 65*f/4 + 3 = 0?
-1, -4/19, 3
Solve 5*i**2 - 13540*i + 13535 = 0.
1, 2707
Find q such that q**4/4 - q**3 = 0.
0, 4
Factor -3*k**5 - 9*k**4 + 3*k**3 + 33*k**2 + 36*k + 12.
-3*(k - 2)*(k + 1)**3*(k + 2)
Factor -2*w**2/9 + 352*w/9 - 15488/9.
-2*(w - 88)**2/9
Factor -w**5 + 15*w**4 - 49*w**3 + 57*w**2 - 22*w.
-w*(w - 11)*(w - 2)*(w - 1)**2
Factor 2*i**2/9 - 284*i/9 + 10082/9.
2*(i - 71)**2/9
Factor d**3 - 5*d**2/2 - 3*d/2.
d*(d - 3)*(2*d + 1)/2
Solve z**2 - 47*z + 172 = 0 for z.
4, 43
Suppose 5*q**5 - 720*q**4 + 23685*q**3 + 159790*q**2 + 331500*q + 225000 = 0. Calculate q.
-2, 75
Factor -3*o**2 - 3024*o - 762048.
-3*(o + 504)**2
Factor 4*j**4 + 120*j**3 + 468*j**2 - 6480*j + 11664.
4*(j - 3)**2*(j + 18)**2
Factor 3*n**4 + 123*n**3 + 1095*n**2 + 3225*n + 2250.
3*(n + 1)*(n + 5)**2*(n + 30)
Suppose -2*f**3/3 + 16*f**2 - 110*f + 484/3 = 0. Calculate f.
2, 11
What is l in 60*l**5 - 48759*l**4 + 9970374*l**3 - 26148027*l**2 + 13787820*l - 1968300 = 0?
1/4, 2/5, 2, 405
Factor 84050*b**3/7 + 2460*b**2/7 + 18*b/7.
2*b*(205*b + 3)**2/7
Solve y**2/8 - y/4 - 399/8 = 0 for y.
-19, 21
Solve -s**4/4 - 11*s**3/4 - 2*s**2 + 5*s = 0 for s.
-10, -2, 0, 1
Solve -2*l**4 - 210*l**3 - 414*l**2 - 206*l = 0.
-103, -1, 0
Factor -5*q**4 - 20*q**3 - 30*q**2 - 20*q - 5.
-5*(q + 1)**4
Determine w so that w**3/3 - 143*w**2/3 - 736*w/3 - 592/3 = 0.
-4, -1, 148
What is y in 2*y**3 - 220*y**2 - 446*y - 224 = 0?
-1, 112
Factor -4*r**3 + 48*r**2 - 116*r + 72.
-4*(r - 9)*(r - 2)*(r - 1)
Factor -w**3 - w**2 + w + 1.
-(w - 1)*(w + 1)**2
Let 5*j**5 - 5*j**4 - 190*j**3 - 620*j**2 - 760*j - 320 = 0. What is j?
-2, -1, 8
Factor -3*z**2 + 270*z/7 + 39/7.
-3*(z - 13)*(7*z + 1)/7
Factor 5*m**3 + 315*m**2 + 1755*m + 2565.
5*(m + 3)**2*(m + 57)
Solve 4*j**2 + 96*j - 6148 = 0 for j.
-53, 29
Factor 5*k**4 - 155*k**3 + 145*k**2 + 155*k - 150.
5*(k - 30)*(k - 1)**2*(k + 1)
Factor 3*z**2/5 - 3444*z - 17223/5.
3*(z - 5741)*(z + 1)/5
Solve -2*i**4 - 40*i**3 - 192*i**2 + 160*i + 800 = 0 for i.
-10, -2, 2
Suppose 272*s**4 - 576*s**3 - 140*s**2 + 636*s - 72 = 0. Calculate s.
-1, 2/17, 3/2
Suppose 4*m**5 + 9*m**4 - 3*m**3 - 10*m**2 = 0. Calculate m.
-2, -5/4, 0, 1
Solve -2*c**3/13 + 1034*c**2/13 + 1036*c/13 = 0 for c.
-1, 0, 518
Let 3*v**2 - 10806*v + 9730803 = 0. Calculate v.
1801
Let -2*p**5/9 - 4*p**4/9 + 2*p**3/9 + 4*p**2/9 = 0. What is p?
-2, -1, 0, 1
Find d such that 2*d**4/11 - 156*d**3/11 - 326*d**2/11 + 480*d/11 = 0.
-3, 0, 1, 80
Factor -6*f**2 - 280*f - 184.
-2*(f + 46)*(3*f + 2)
Let -3*p**4/2 + 107*p**3 + 72*p**2 = 0. Calculate p.
-2/3, 0, 72
Solve 5*s**4 + 45*s**3 + 115*s**2 + 15*s - 180 = 0 for s.
-4, -3, 1
What is b in 20*b**4 - 144*b**3 - 132*b**2 + 32*b = 0?
-1, 0, 1/5, 8
Factor -7*o**3 + 16*o**2 + 17*o - 6.
-(o - 3)*(o + 1)*(7*o - 2)
Suppose -5*x**4 + 65*x**3 + 1090*x**2 + 1740*x - 8280 = 0. What is x?
-6, 2, 23
Factor -175*o**2 - 1040*o + 60.
-5*(o + 6)*(35*o - 2)
Factor -4*j**2 - 444*j - 12296.
-4*(j + 53)*(j + 58)
Determine i so that i**3/3 + 35*i**2/3 + 76*i + 108 = 0.
-27, -6, -2
Let -l**5/4 - 9*l**4/2 - 37*l**3/2 + 30*l**2 + 459*l/4 - 243/2 = 0. Calculate l.
-9, -3, 1, 2
Factor -8*j**3/5 - 2306*j**2/5 - 576*j/5.
-2*j*(j + 288)*(4*j + 1)/5
Factor 15*h**2 + 14*h - 32.
(h + 2)*(15*h - 16)
Let -75*q**3 + 155*q**2 - 85*q + 5 = 0. What is q?
1/15, 1
Determine k so that -k**2/9 - 7*k/9 + 44/9 = 0.
-11, 4
Solve -2*x**2/19 - 3388*x/19 - 1434818/19 = 0 for x.
-847
Factor -2*s**2/15 + 52*s/15 - 32/5.
-2*(s - 24)*(s - 2)/15
Determine c so that -28*c**4 + 184*c**3 - 348*c**2 + 256*c - 64 = 0.
4/7, 1, 4
Factor x**3 + 58*x**2 + 896*x + 1568.
(x + 2)*(x + 28)**2
Factor -4*t**2 + 120*t - 500.
-4*(t - 25)*(t - 5)
Factor 4*z**4 - 1112*z**3 + 102672*z**2 - 3113640*z - 3217428.
4*(z - 93)**3*(z + 1)
Factor -r**4/2 - r**3 + 27*r**2/2 + 28*r - 40.
-(r - 5)*(r - 1)*(r + 4)**2/2
Factor -28*j**4 - 326*j**3 - 1224*j**2 - 1312*j + 640.
-2*(j + 4)**3*(14*j - 5)
Solve w**2 + 49*w = 0.
-49, 0
Solve -796*f**2/7 + 18*f/7 = 0.
0, 9/398
Find q, given that 240*q**4 + 200*q**3 - 385*q**2 - 165*q + 180 = 0.
-4/3, -1, 3/4
Find v, given that 3*v**5 + 17*v**4 + 21*v**3 + 3*v**2 - 4*v = 0.
-4, -1, 0, 1/3
Determine x so that -3*x**3 + 2*x**2 + 25*x - 24 = 0.
-3, 1, 8/3
Determine n, given that -5*n**3 + 295*n**2 - 4070*n = 0.
0, 22, 37
Suppose 5*v**4 - 5*v**3 - 65*v**2 + 5*v + 60 = 0. What is v?
-3, -1, 1, 4
Solve 14*y**3/9 + 52*y**2/3 + 382*y/9 + 80/3 = 0.
-8, -15/7, -1
Factor -5*y**3 - 25*y**2 - 35*y - 15.
-5*(y + 1)**2*(y + 3)
Let 20*z**5 + 805*z**4 + 2480*z**3 + 2810*z**2 + 1300*z + 185 = 0. What is z?
-37, -1, -1/4
Find s such that -s**4/2 + 7*s**3/2 + 39*s**2 = 0.
-6, 0, 13
Factor 5*y**3 - 390*y**2 + 355*y + 2310.
5*(y - 77)*(y - 3)*(y + 2)
Factor -15*u**3 + 1115*u**2 - 20905*u + 6845.
-5*(u - 37)**2*(3*u - 1)
Let -3*i**4 + 9*i**3/5 + 1146*i**2/5 + 2556*i/5 + 168 = 0. Calculate i.
-7, -2, -2/5, 10
Factor x**5 - 13*x**4 + 63*x**3 - 139*x**2 + 136*x - 48.
(x - 4)**2*(x - 3)*(x - 1)**2
Factor -2*k**2/7 + 2/7.
-2*(k - 1)*(k + 1)/7
Solve -3*x**3/5 + 6*x**2/5 + 3*x - 18/5 = 0 for x.
-2, 1, 3
Let 3*l**3 - 21*l + 18 = 0. Calculate l.
-3, 1, 2
Find d, given that 2*d**4/19 + 126*d**3/19 + 124*d**2/19 = 0.
-62, -1, 0
Find o such that 2*o**2/13 + 70*o/13 + 432/13 = 0.
-27, -8
Factor 3*w**4/5 - 108*w**3/5 - 5742*w**2/5 - 71148*w/5 - 275517/5.
3*(w - 69)*(w + 11)**3/5
Factor 45*b**4 + 105*b**3 - 10*b**2 - 100*b - 40.
5*(b - 1)*(b + 2)*(3*b + 2)**2
Factor -5*t**3 - 120*t**2 + 395*t - 270.
-5*(t - 2)*(t - 1)*(t + 27)
What is c in -2*c**2 + 238*c = 0?
0, 119
Factor -4*g**3/3 + 36*g**2 - 116*g - 460/3.
-4*(g - 23)*(g - 5)*(g + 1)/3
Factor -m**4 - 7*m**3 - 11*m**2 - 5*m.
-m*(m + 1)**2*(m + 5)
Let x**2/4 - 50*x + 2500 = 0. What is x?
100
Determine x so that -x**3/7 + 30*x**2/7 + x/7 - 30/7 = 0.
-1, 1, 30
Determine u so that 52521875*u**5 + 405168750*u**4 + 1250235000*u**3 + 1928934000*u**2 + 1488034800*u + 459165024 = 0.
-54/35
Solve -9*m**5 - 753*m**4 - 23562*m**3 - 325458*m**2 - 1639197*m + 583443 = 0 for m.
-21, 1/3
Factor d**2/4 + 759*d