hat -t**5 + 9*t**4 + 40*t**3 - 48*t**2 = 0.
-4, 0, 1, 12
Find o such that 2*o**5/3 - 56*o**4/3 + 440*o**3/3 - 620*o**2/3 - 442*o/3 + 676/3 = 0.
-1, 1, 2, 13
Factor -5*x**3/6 + 395*x**2/6 - 1120*x - 7350.
-5*(x - 42)**2*(x + 5)/6
Factor -5*v**3 - 60*v**2 - 180*v.
-5*v*(v + 6)**2
Factor 3*k**2 + 273*k + 270.
3*(k + 1)*(k + 90)
Factor 3*i**2 + 14706*i + 18022203.
3*(i + 2451)**2
Find v, given that 4*v**5 - 16*v**4 + 16*v**3 = 0.
0, 2
Factor -z**4/6 - 8*z**3/3 - 23*z**2/2 - 47*z/3 - 20/3.
-(z + 1)**2*(z + 4)*(z + 10)/6
Solve -9*u**4 + 21*u**3 - 12*u = 0 for u.
-2/3, 0, 1, 2
Find p, given that 147*p**3/2 - 63*p**2/2 - 36*p - 6 = 0.
-2/7, 1
Solve -2*s**2/3 - 68*s/3 - 560/3 = 0.
-20, -14
Find a, given that 3*a**5/7 - 30*a**4/7 + 81*a**3/7 - 6*a**2 - 12*a + 72/7 = 0.
-1, 1, 2, 6
Factor 8*g**3 - 278*g**2 - 662*g - 148.
2*(g - 37)*(g + 2)*(4*g + 1)
Factor -m**4/7 + 24*m**3/7 - 102*m**2/7 + 136*m/7 - 57/7.
-(m - 19)*(m - 3)*(m - 1)**2/7
Find f, given that -192*f**2 + 9*f/2 = 0.
0, 3/128
Factor -2*i**4/7 + 52*i**3/7.
-2*i**3*(i - 26)/7
Find l, given that l**3/2 - 21*l**2/2 + 28*l - 18 = 0.
1, 2, 18
Factor 3*l**2 + 165*l - 342.
3*(l - 2)*(l + 57)
Solve -25*s**5 + 935*s**4 - 345*s**3 - 935*s**2 + 370*s = 0.
-1, 0, 2/5, 1, 37
Factor -2*z**4 - 52*z**3 + 168*z**2 - 172*z + 58.
-2*(z - 1)**3*(z + 29)
Find m, given that 2*m**5/5 - 44*m**4/5 + 182*m**3/5 - 196*m**2/5 - 152*m/5 + 272/5 = 0.
-1, 2, 17
Solve 2*o**2 + 112*o + 920 = 0 for o.
-46, -10
Factor 2*v**2/11 - 2144*v/11 + 6414/11.
2*(v - 1069)*(v - 3)/11
Factor -5*d**2 - 310*d.
-5*d*(d + 62)
What is u in -2*u**3 + 32*u**2 = 0?
0, 16
Factor -5*j**2/8 + 317*j/8 - 183/2.
-(j - 61)*(5*j - 12)/8
Factor 4*x**2 - 576*x.
4*x*(x - 144)
Suppose 6*t**4 + 72*t**3/5 - 576*t**2/5 + 96*t + 288/5 = 0. Calculate t.
-6, -2/5, 2
Let -3*m**4/4 + 6*m**3 - 9*m**2/2 - 6*m + 21/4 = 0. What is m?
-1, 1, 7
Factor -d**4 + 57*d**3 - 405*d**2 + 643*d - 294.
-(d - 49)*(d - 6)*(d - 1)**2
Factor 5*s**4 - 20*s**3 - 135*s**2 - 190*s - 80.
5*(s - 8)*(s + 1)**2*(s + 2)
Factor -3*w**2/2 + 15*w/2 - 6.
-3*(w - 4)*(w - 1)/2
Factor 2*d**2/9 + 428*d/9 - 96.
2*(d - 2)*(d + 216)/9
Solve -2*j**4 + 24*j**3 - 42*j**2 + 20*j = 0.
0, 1, 10
Determine y so that 5*y**2 - 4110*y + 12285 = 0.
3, 819
Factor -5*u**2 - 100*u.
-5*u*(u + 20)
What is v in -4*v**3 + 104*v**2 - 196*v + 96 = 0?
1, 24
Find s, given that s**3 - 34*s**2 + 176*s - 224 = 0.
2, 4, 28
Factor -2*h**2/9 + 50*h/9 + 232/9.
-2*(h - 29)*(h + 4)/9
Let -s**2 + 24*s + 52 = 0. What is s?
-2, 26
Factor -4*v**5 + 56*v**4 + 128*v**3 + 8*v**2 - 124*v - 64.
-4*(v - 16)*(v - 1)*(v + 1)**3
Determine c so that -4*c**5/7 + 16*c**4/7 = 0.
0, 4
Factor -d**2/2 + 477*d/2 + 479.
-(d - 479)*(d + 2)/2
Suppose -4*u**5 - 24*u**4 + 100*u**3 - 72*u**2 = 0. Calculate u.
-9, 0, 1, 2
Determine h, given that -h**5 + 4*h**4 = 0.
0, 4
Solve -t**5 - 259*t**4 - 1023*t**3 - 761*t**2 + 1024*t + 1020 = 0.
-255, -2, -1, 1
Determine b so that 16*b**2 + 21100*b - 5276 = 0.
-1319, 1/4
Suppose n**2 + 33*n = 0. What is n?
-33, 0
Solve -4*t**3/9 - 536*t**2/9 + 548*t/9 + 120 = 0 for t.
-135, -1, 2
Suppose -5*j**3 + 905*j**2 - 41400*j + 40500 = 0. What is j?
1, 90
Suppose 15*w**2 - 3475*w - 1160 = 0. What is w?
-1/3, 232
Solve -4*a**2 + 39696*a - 98485776 = 0 for a.
4962
Factor -5*a**4 - 105*a**3 - 655*a**2 - 855*a + 1620.
-5*(a - 1)*(a + 4)*(a + 9)**2
Factor -r**4/3 - 17*r**3/3 - 47*r**2/3 + 65*r/3.
-r*(r - 1)*(r + 5)*(r + 13)/3
Find v, given that -47*v**2 - 1032*v + 44 = 0.
-22, 2/47
Factor z**5/4 - 7*z**4/4 - 9*z**3/4 + 7*z**2/4 + 2*z.
z*(z - 8)*(z - 1)*(z + 1)**2/4
Find i, given that i**2/8 + 133*i/4 + 17689/8 = 0.
-133
Find u such that 3*u**3/4 + 9*u**2/4 - 27*u/2 = 0.
-6, 0, 3
Factor -o**3/4 - 8879*o**2/2 - 78836641*o/4.
-o*(o + 8879)**2/4
Factor -y**5 - 3*y**4 + 42*y**3 - 100*y**2 + 72*y.
-y*(y - 2)**3*(y + 9)
Suppose -4*k**3 - 2060*k**2 + 4148*k + 6204 = 0. What is k?
-517, -1, 3
Solve 10*j**5 + 176*j**4 + 522*j**3 + 252*j**2 = 0 for j.
-14, -3, -3/5, 0
Find g, given that -g**2 + 9*g + 36 = 0.
-3, 12
Suppose 38*s**2 - 148*s - 16 = 0. What is s?
-2/19, 4
Factor 841*a**4 + 58*a**3 - 840*a**2 - 58*a - 1.
(a - 1)*(a + 1)*(29*a + 1)**2
Suppose v**2/2 + 9*v/2 = 0. What is v?
-9, 0
Factor 4*k**2/5 - 16*k.
4*k*(k - 20)/5
Find k such that -6*k**5 + 3*k**4 + 27*k**3 - 21*k**2 - 21*k + 18 = 0.
-2, -1, 1, 3/2
Find m such that m**3 + 15*m**2 - 73*m + 57 = 0.
-19, 1, 3
Solve 3*f**3 + 75*f**2 + 198*f = 0 for f.
-22, -3, 0
Find j, given that -12*j**2 - 404*j + 136 = 0.
-34, 1/3
Factor -w**3/4 + 9*w**2/4 + 49*w/4 + 39/4.
-(w - 13)*(w + 1)*(w + 3)/4
What is s in -2*s**2/15 + 8*s - 742/15 = 0?
7, 53
Let -4*n**3 - 56*n**2 - 100*n - 48 = 0. What is n?
-12, -1
Suppose -j**3/2 - 13*j**2 - 71*j/2 - 23 = 0. What is j?
-23, -2, -1
Solve -m**5/4 + 211*m**4/4 - 5403*m**3/2 - 17279*m**2/2 + 10807*m/4 + 34347/4 = 0 for m.
-3, -1, 1, 107
Find v such that 3*v**5 + 138*v**4 + 1566*v**3 - 948*v**2 - 10281*v + 9522 = 0.
-23, -3, 1, 2
Find b, given that 3*b**2/5 - 21*b/5 - 24/5 = 0.
-1, 8
Factor -2*k**3 + 166*k**2 + 512*k + 344.
-2*(k - 86)*(k + 1)*(k + 2)
Factor p**2/6 + 27*p/2 + 79/3.
(p + 2)*(p + 79)/6
What is t in 72*t**5 + 242*t**4 + 224*t**3 + 58*t**2 + 4*t = 0?
-2, -1, -1/4, -1/9, 0
Find o such that 7*o**5/5 + 40084*o**4/5 + 57388828*o**3/5 + 16353454*o**2/5 - 11477767*o - 16393538/5 = 0.
-2863, -1, -2/7, 1
Determine n, given that -5*n**4 + 160*n**3 - 555*n**2 - 160*n + 560 = 0.
-1, 1, 4, 28
Factor 2*u**5 + 8*u**4 - 42*u**3.
2*u**3*(u - 3)*(u + 7)
Determine h so that 2*h**5/19 - 10*h**4/19 + 16*h**3/19 - 8*h**2/19 = 0.
0, 1, 2
Factor -2*w**2/9 + 2*w/9 + 8/3.
-2*(w - 4)*(w + 3)/9
What is s in -69*s**2/7 - 795*s/7 - 396/7 = 0?
-11, -12/23
Solve 4*o**3 + 4*o**2 - 4*o - 4 = 0 for o.
-1, 1
Let -3*w**4/4 - 3*w**3/2 + 18*w**2 = 0. What is w?
-6, 0, 4
Factor 5*r**3 + 215*r**2.
5*r**2*(r + 43)
Factor -3*l**3 - 12*l**2 + 15*l.
-3*l*(l - 1)*(l + 5)
Factor 2*s**3/3 - 18*s**2 - 56*s/3.
2*s*(s - 28)*(s + 1)/3
What is f in -5*f**4 + 55*f**3 - 165*f**2 + 185*f - 70 = 0?
1, 2, 7
Suppose 3*h**2/4 + 63*h/2 + 1323/4 = 0. What is h?
-21
Factor 3*b**3 - 9*b**2 + 12.
3*(b - 2)**2*(b + 1)
Factor 2*t**5/3 - 16*t**4/3 - 8*t**3 + 44*t**2/3 + 86*t/3 + 12.
2*(t - 9)*(t - 2)*(t + 1)**3/3
Solve k**4 + 40*k**3 + 400*k**2 = 0.
-20, 0
Factor 2*h**4/7 + 8*h**3/7 - 22*h**2/7 + 12*h/7.
2*h*(h - 1)**2*(h + 6)/7
Factor 4*d**5 + 732*d**4 + 33852*d**3 + 33124*d**2.
4*d**2*(d + 1)*(d + 91)**2
Factor 2*g**2 - 442*g + 440.
2*(g - 220)*(g - 1)
Factor -2*u**5/3 - 36*u**4 - 448*u**3 + 3136*u**2/3.
-2*u**2*(u - 2)*(u + 28)**2/3
Determine n so that -4*n**3/3 + 652*n**2/9 + 1112*n/9 + 448/9 = 0.
-1, -2/3, 56
Let a**3/6 + 452*a**2/3 - 1811*a/6 + 151 = 0. Calculate a.
-906, 1
Suppose 18*x**5/11 + 348*x**4/11 + 1148*x**3/11 - 2648*x**2/11 + 1330*x/11 - 196/11 = 0. Calculate x.
-14, -7, 1/3, 1
Solve 2*b**2/5 + 32*b/5 - 34/5 = 0.
-17, 1
What is z in -4*z**5 - 248*z**4 - 1164*z**3 - 1368*z**2 = 0?
-57, -3, -2, 0
Factor 15*n**3 - 18*n**2 + 3*n.
3*n*(n - 1)*(5*n - 1)
Let -j**3/8 + 23*j**2/4 - 60*j - 144 = 0. What is j?
-2, 24
Suppose 5*o**4 + 10*o**3 - 45*o**2 - 90*o = 0. What is o?
-3, -2, 0, 3
Let 2*t**3 + 38*t**2 - 1850*t - 38750 = 0. Calculate t.
-25, 31
Determine s so that s**2/3 - 7*s/3 - 6 = 0.
-2, 9
Solve -98*c**4/17 - 1106*c**3/17 + 936*c**2/17 + 1080*c/17 - 864/17 = 0 for c.
-12, -1, 6/7
Solve 15*s**4 - 51*s**3 + 48*s**2 - 12*s = 0 for s.
0, 2/5, 1, 2
Determine n so that 3*n**2/4 + 133*n/8 + 11/4 = 0.
-22, -1/6
Let -i**4/2 - 4*i**3 - 19*i**2/2 - 6*i = 0. What is i?
-4, -3, -1, 0
Suppose 5*u**5 + 25*u**4 - 20*u**3 - 220*u**2 - 240*u = 0. What is u?
-4, -2, 0, 3
Factor -q**2/2 + 73*q/2 - 170.
-(q - 68)*(q - 5)/2
Factor 3*x**3/5 + 9*x**2/5 + 9*x/5 + 3/5.
3*(x + 1)**3/5
Suppose 27*k**5 + 75*k**4 - 504*k**3 - 972*k**2 + 240*k = 0. What is k?
-5, -2, 0, 2/9, 4
What is s in 2*s**4/11 + 174*s**3/11 - 16*s**2 = 0?
-88, 0, 1
Let 2*u**5/7 + 2*u**4/7 - 32*u**3/7 - 8*u**2/7 + 96*u/7 = 0. What is u?
-4, -2, 0, 2, 3
Factor 8*p**2 + 65*p + 8.
(p + 8)*(8*p + 1)
Let -2*x**2 + 528*x + 2144 = 0. What is x?
-4, 268
What is g in 4*g**3/5 + 248*g**2/5 = 0?
-62, 0
Factor 12*m**4 + 40*m**3 + 12*m**2.
4*m**2*(m + 3)*(3*m + 1)
Let t**5 + 5*t**4 + 9*t**3 + 7*t**2 + 2*t = 0. Calculate t.
-2, -1, 0
Determine c, given that -15*c**3 - 6*