- 450)*(t + 1)
Solve h**3/10 - 6*h**2/5 + 2*h = 0 for h.
0, 2, 10
Factor 2*l**2/3 + 284*l/3 + 10082/3.
2*(l + 71)**2/3
Factor k**5/3 - 11*k**4/3 + 19*k**3/3 + 115*k**2/3 - 200*k/3 - 500/3.
(k - 5)**3*(k + 2)**2/3
Let i**3 - 120*i**2 + 3348*i + 15376 = 0. Calculate i.
-4, 62
Determine i, given that i**3/2 + i**2 - 5*i/2 - 3 = 0.
-3, -1, 2
Determine l so that -l**2 - 1963*l - 1962 = 0.
-1962, -1
Find b such that -5*b**3 + 1765*b**2 - 158375*b + 459375 = 0.
3, 175
Solve -5*q**4 + 260*q**3 + 3740*q**2 + 6400*q = 0 for q.
-10, -2, 0, 64
Suppose -3*p**3 + 42*p**2 + 51*p - 90 = 0. Calculate p.
-2, 1, 15
Let -u**5 - 21*u**4 - 95*u**3 + 205*u**2 + 396*u - 484 = 0. Calculate u.
-11, -2, 1, 2
What is j in -j**5/2 - 11*j**4/2 + 27*j**3 - 43*j**2 + 59*j/2 - 15/2 = 0?
-15, 1
Determine n, given that 12*n**3 - 232*n**2 + 992*n + 768 = 0.
-2/3, 8, 12
Let g**3 + 359*g**2 + 1424*g + 1420 = 0. Calculate g.
-355, -2
Let -13*y**3 + 37*y**2 - 20*y - 4 = 0. What is y?
-2/13, 1, 2
Factor 3*f**2 + 285*f + 4332.
3*(f + 19)*(f + 76)
Factor -4*d**2 + 64*d.
-4*d*(d - 16)
Find f, given that 5*f**5 + 30*f**4 - 80*f**3 = 0.
-8, 0, 2
Find k, given that 44*k**3/3 + 68*k**2/3 + 8*k = 0.
-1, -6/11, 0
Let 45*u**2/4 + 111*u - 15 = 0. Calculate u.
-10, 2/15
Determine i so that -3*i**3/7 + 576*i**2/7 + 1161*i/7 + 582/7 = 0.
-1, 194
Factor -3*a**3 + 30*a**2 - 48*a.
-3*a*(a - 8)*(a - 2)
Factor 20*f**2 - 255*f - 65.
5*(f - 13)*(4*f + 1)
Let -3*l**2 + 5541*l = 0. Calculate l.
0, 1847
Let 24*i**3 - 100*i**2 + 132*i - 56 = 0. Calculate i.
1, 7/6, 2
Let -i**3/6 - 109*i**2/3 + 443*i/6 + 110 = 0. Calculate i.
-220, -1, 3
What is q in -q**4/3 - 26*q**3/3 - 71*q**2/3 - 46*q/3 = 0?
-23, -2, -1, 0
Factor d**2/4 - 13*d + 169.
(d - 26)**2/4
Factor 3*s**2 + 102*s + 192.
3*(s + 2)*(s + 32)
Find p, given that -2*p**5 - 102*p**4 + 106*p**3 + 102*p**2 - 104*p = 0.
-52, -1, 0, 1
Suppose -m**5/4 - 3*m**4/4 + 5*m**3/2 + 15*m**2/2 - 9*m/4 - 27/4 = 0. Calculate m.
-3, -1, 1, 3
Factor -a**5 - a**4.
-a**4*(a + 1)
Factor 5*q**4 + 1150*q**3 + 68385*q**2 + 259900*q + 255380.
5*(q + 2)**2*(q + 113)**2
What is k in k**2/5 + 471*k/5 = 0?
-471, 0
Determine x so that 4*x**5/3 - 184*x**4 + 6348*x**3 = 0.
0, 69
Suppose -6*f**3 - 153*f**2 - 72*f + 75 = 0. Calculate f.
-25, -1, 1/2
Factor 3*q**4 + 69*q**3 + 405*q**2 - 729*q - 8748.
3*(q - 4)*(q + 9)**3
Suppose 4*r**5 - 276*r**4 + 2660*r**3 - 6364*r**2 + 5832*r - 1856 = 0. What is r?
1, 8, 58
Factor 1875*m**4 + 18900*m**3 + 48378*m**2 + 3780*m + 75.
3*(m + 5)**2*(25*m + 1)**2
Find s, given that 2*s**2 - 54*s + 100 = 0.
2, 25
Factor -f**5/6 + f**3/2 - f**2/3.
-f**2*(f - 1)**2*(f + 2)/6
What is x in 56*x**3/5 + 22*x**2 - 8*x/5 - 8/5 = 0?
-2, -1/4, 2/7
Factor 243*x**3 + 513*x**2 - 168*x - 588.
3*(x - 1)*(9*x + 14)**2
Factor 40*j**4 + 468*j**3 - 144*j**2.
4*j**2*(j + 12)*(10*j - 3)
Suppose -4*d**2 - 112*d + 512 = 0. Calculate d.
-32, 4
Let -o**3/6 + 22*o**2/3 + 91*o/6 + 23/3 = 0. What is o?
-1, 46
Solve 2*n**3/7 - 12*n**2/7 - 54*n/7 = 0.
-3, 0, 9
Determine n, given that 12*n**3 + 105*n**2 - 168*n - 180 = 0.
-10, -3/4, 2
Let 3*k**5/7 + 375*k**4/7 + 10659*k**3/7 - 72003*k**2/7 - 285090*k/7 - 202800/7 = 0. What is k?
-65, -2, -1, 8
Suppose s**5 + 9*s**4 + 31*s**3 + 51*s**2 + 40*s + 12 = 0. Calculate s.
-3, -2, -1
Factor f**3/6 - 3*f**2/2 + 7*f/3 + 4.
(f - 6)*(f - 4)*(f + 1)/6
Solve -308*b**4 - 1992*b**3 - 2420*b**2 - 816*b - 80 = 0.
-5, -1, -2/7, -2/11
Suppose 2*x**3 + 28*x**2 + 114*x + 144 = 0. What is x?
-8, -3
Factor y**5/2 - 5*y**4/2 - 11*y**3 - 8*y**2.
y**2*(y - 8)*(y + 1)*(y + 2)/2
Solve -2*w**2/13 - 70*w/13 + 72/13 = 0 for w.
-36, 1
Factor 5*x**5 - 75*x**4 + 295*x**3 - 485*x**2 + 360*x - 100.
5*(x - 10)*(x - 2)*(x - 1)**3
Factor h**3 + 28*h**2 - 93*h.
h*(h - 3)*(h + 31)
Factor 4*v**2/7 - 1236*v/7 - 2488/7.
4*(v - 311)*(v + 2)/7
Factor 3*q**3 + 504*q**2 + 1980*q + 1968.
3*(q + 2)**2*(q + 164)
Factor -f**5/4 + 5*f**4 - 24*f**3 + 89*f**2/2 - 143*f/4 + 21/2.
-(f - 14)*(f - 3)*(f - 1)**3/4
Determine s, given that 2*s**3/15 - 4*s**2 + 526*s/15 - 476/5 = 0.
6, 7, 17
Factor 14*n**5 - 18*n**4 + 4*n**3.
2*n**3*(n - 1)*(7*n - 2)
Factor k**2 + k - 56.
(k - 7)*(k + 8)
Find u, given that -u**5/10 + 2*u**4/5 + 8*u**3/5 - 32*u**2/5 = 0.
-4, 0, 4
Find c, given that 4*c**4/7 - 76*c**3/7 + 192*c**2/7 + 16*c/7 - 256/7 = 0.
-1, 2, 16
What is q in -3*q**4 - 39*q**3 - 108*q**2 + 156*q + 480 = 0?
-8, -5, -2, 2
Factor -2*u**2/3 + 238*u/3 - 156.
-2*(u - 117)*(u - 2)/3
Factor h**2/6 + 40*h + 2400.
(h + 120)**2/6
Find p, given that -4*p**3 + 472*p**2 + 2940*p + 4464 = 0.
-3, 124
Let -18*p**4/13 + 252*p**3/13 - 202*p**2/13 - 408*p/13 - 8 = 0. What is p?
-2/3, -1/3, 2, 13
Determine o so that 196*o**5 - 12432*o**4 - 7152*o**3 - 1024*o**2 = 0.
-2/7, 0, 64
Factor l**2/6 + 3*l/2.
l*(l + 9)/6
Let g**2 - 60*g + 59 = 0. What is g?
1, 59
Suppose -2*t**2/9 + 68*t/9 - 22/3 = 0. Calculate t.
1, 33
Find y such that -3*y**2/4 + 783*y/4 + 393/2 = 0.
-1, 262
Factor r**5/9 + 26*r**4/9 + 49*r**3/9 + 8*r**2/3.
r**2*(r + 1)**2*(r + 24)/9
Factor -2*f**2 + 68*f - 186.
-2*(f - 31)*(f - 3)
Factor -99*w**2/7 - 339*w + 72/7.
-3*(w + 24)*(33*w - 1)/7
Let i**2/8 - 3095*i/8 + 1547/4 = 0. Calculate i.
1, 3094
Suppose -2*f**2/3 - 56*f/3 - 230/3 = 0. What is f?
-23, -5
Find n such that -2*n**3 - 4*n**2 + 22*n + 24 = 0.
-4, -1, 3
Factor u**4/8 - 3*u**3/8 - u**2/2.
u**2*(u - 4)*(u + 1)/8
Factor o**2/5 + 4258*o/5 + 4532641/5.
(o + 2129)**2/5
Let 5*q**5 - 120*q**4 + 330*q**3 - 320*q**2 + 105*q = 0. What is q?
0, 1, 21
Let z**2 + 68*z - 69 = 0. What is z?
-69, 1
Factor -4*h**3 + 464*h**2 + 1420*h + 952.
-4*(h - 119)*(h + 1)*(h + 2)
Factor o**4 - 26*o**3 + 109*o**2 - 84*o.
o*(o - 21)*(o - 4)*(o - 1)
Factor 4*a**3 - 160*a**2 + 592*a - 576.
4*(a - 36)*(a - 2)**2
Factor p**3/6 + 2*p**2 + 11*p/6.
p*(p + 1)*(p + 11)/6
Let -4*w**3 - 4*w**2 + 48*w = 0. Calculate w.
-4, 0, 3
Solve 7*q**3/4 + q**2/2 - 19*q/4 + 5/2 = 0.
-2, 5/7, 1
Factor -2*s**4/3 + 16*s**2 + 128*s/3 + 32.
-2*(s - 6)*(s + 2)**3/3
Find z such that -3*z**3 + 15*z**2 + 39*z + 21 = 0.
-1, 7
Let b**3 - b**2 - 14*b + 24 = 0. What is b?
-4, 2, 3
Solve t**4/9 - 5*t**3/3 - 25*t**2 - 625*t/9 = 0.
-5, 0, 25
Determine q so that -q**5 + 12*q**4 + 31*q**3 - 42*q**2 = 0.
-3, 0, 1, 14
Factor -k**2 + 5334*k - 7112889.
-(k - 2667)**2
Factor -5*n**2 + 165*n.
-5*n*(n - 33)
Factor 2*m**5 + 10*m**4 + 18*m**3 + 14*m**2 + 4*m.
2*m*(m + 1)**3*(m + 2)
Let -y**3/8 + 3*y**2/4 - 3*y/8 - 5/4 = 0. Calculate y.
-1, 2, 5
Factor -4*u**3/7 - 24*u**2/7 + 16*u/7 + 96/7.
-4*(u - 2)*(u + 2)*(u + 6)/7
Determine j so that j**4 + 60*j**3 + 357*j**2 - 17390*j + 32856 = 0.
-37, 2, 12
Factor 5*s**2 - 425*s + 420.
5*(s - 84)*(s - 1)
Factor -5*t**4 - 30*t**3 - 25*t**2 + 60*t.
-5*t*(t - 1)*(t + 3)*(t + 4)
Factor 4*t**4 + 14*t**3 - 52*t**2 + 46*t - 12.
2*(t - 1)**2*(t + 6)*(2*t - 1)
Suppose 4*o**2 + 1428*o - 1432 = 0. What is o?
-358, 1
Suppose 4*v**5 + 116*v**4 + 792*v**3 + 568*v**2 - 796*v - 684 = 0. Calculate v.
-19, -9, -1, 1
Factor -2*u**4 + 28*u**3 - 66*u**2 - 224*u - 128.
-2*(u - 8)**2*(u + 1)**2
Solve n**3/5 + 11*n**2/5 + 26*n/5 + 16/5 = 0 for n.
-8, -2, -1
Let 10*r**5/11 + 356*r**4/11 + 756*r**3/11 - 3280*r**2/11 + 2818*r/11 - 60 = 0. Calculate r.
-33, -5, 2/5, 1
Solve 9*s**5 - 30*s**4 + 36*s**3 - 18*s**2 + 3*s = 0 for s.
0, 1/3, 1
Let -4*q**4 + 16*q**3 - 16*q**2 = 0. Calculate q.
0, 2
Factor 8*t**5 + 50*t**4 + 108*t**3 + 104*t**2 + 44*t + 6.
2*(t + 1)**3*(t + 3)*(4*t + 1)
Factor 3*r**3 - 81*r**2 + 288*r - 276.
3*(r - 23)*(r - 2)**2
What is o in -o**5/8 - 9*o**4/4 + 15*o**3/2 - 31*o**2/4 + 21*o/8 = 0?
-21, 0, 1
Find k, given that 36*k**5 - 48*k**4 - 219*k**3 + 87*k**2 + 90*k = 0.
-2, -1/2, 0, 5/6, 3
Factor -c**3 + 33*c**2 + 108*c.
-c*(c - 36)*(c + 3)
Factor 4*d**2/3 - 784*d/3.
4*d*(d - 196)/3
Factor -d**3 + 486*d**2 - 78732*d + 4251528.
-(d - 162)**3
Factor -t**3/3 + 23*t**2/3 + 8*t.
-t*(t - 24)*(t + 1)/3
Factor -5*d**2/6 - 185*d/3 + 125/2.
-5*(d - 1)*(d + 75)/6
Solve 2*l**4 + 14*l**3 - 42*l**2 - 54*l = 0 for l.
-9, -1, 0, 3
Solve 259*x**2/2 - 155*x/4 + 1/2 = 0.
1/74, 2/7
Let -5*t**4/2 - 15*t**3 - 55*t**2/2 - 15*t = 0. What is t?
-3, -2, -1, 0
Determine k, given that -3*k**4 - 75*k**3 + 12*k**2 + 300*k = 0.
-25, -2, 0, 2
Factor -4*z**4 + 440*z**3 - 12532*z**2 + 23760*z - 11664.
-4*(z - 54)**2*(z - 1)**2
Factor -r**2