*3 - 51*t**2 = 0.
-17, 0
Let -28*z**3 + 4*z**2 + 28*z - 4 = 0. What is z?
-1, 1/7, 1
Factor -x**2/5 - 12*x/5 - 32/5.
-(x + 4)*(x + 8)/5
Let -o**3/7 + 132*o**2/7 - 131*o/7 = 0. What is o?
0, 1, 131
Suppose 2*x**5/15 - 12*x**4/5 + 22*x**3/5 - 32*x**2/15 = 0. Calculate x.
0, 1, 16
Determine x, given that -2*x**4/15 + 4*x**3/15 + 6*x**2/5 - 12*x/5 = 0.
-3, 0, 2, 3
Factor -5*c**2 - 120*c + 4725.
-5*(c - 21)*(c + 45)
Solve -40*h**5 + 26*h**4 + 36*h**3 - 26*h**2 + 4*h = 0.
-1, 0, 1/4, 2/5, 1
Suppose 5*o**2 + 235*o + 1850 = 0. What is o?
-37, -10
Solve -6*t**4/5 - 174*t**3/5 + 402*t**2/5 + 894*t/5 - 1116/5 = 0 for t.
-31, -2, 1, 3
Solve 2*n**4/5 - 28*n**3/5 + 94*n**2/5 + 28*n/5 - 96/5 = 0.
-1, 1, 6, 8
Factor -2*t**4/5 + 24*t**3/5 - 72*t**2/5.
-2*t**2*(t - 6)**2/5
Find o, given that 3*o**2 - 435*o/4 + 525/4 = 0.
5/4, 35
Factor 4*g**2 - 80*g - 176.
4*(g - 22)*(g + 2)
Let 2*r**3/5 + 18*r**2/5 + 28*r/5 = 0. Calculate r.
-7, -2, 0
Find r such that -5*r**2 - 1870*r - 174845 = 0.
-187
Suppose 2*r**5/5 - 42*r**4/5 + 234*r**3/5 - 70*r**2 + 156*r/5 = 0. Calculate r.
0, 1, 6, 13
Factor -4*n**3/3 + 3116*n**2 - 6228*n + 9340/3.
-4*(n - 2335)*(n - 1)**2/3
Find f such that 3*f**5/2 + 231*f**4/2 + 4557*f**3/2 + 4101*f**2/2 - 2280*f - 2166 = 0.
-38, -1, 1
Let -132*j**4/5 + 2979*j**3/5 - 17604*j**2/5 + 8679*j/5 + 2178/5 = 0. What is j?
-2/11, 3/4, 11
Suppose -2*x**2/5 + 8*x/5 + 64/5 = 0. What is x?
-4, 8
Solve -2*z**5/17 + 38*z**4/17 - 84*z**3/17 - 756*z**2/17 + 3510*z/17 - 4050/17 = 0.
-5, 3, 15
Suppose 3*f**5 + 21*f**4 + 45*f**3 + 27*f**2 = 0. Calculate f.
-3, -1, 0
Factor u**3/3 - 17*u**2/3 + 18*u + 24.
(u - 12)*(u - 6)*(u + 1)/3
Find s, given that -2*s**3/13 - 4*s**2/13 + 118*s/13 + 336/13 = 0.
-7, -3, 8
Factor a**2/2 - 9*a/2 + 9.
(a - 6)*(a - 3)/2
Factor 2*l**3 - 70*l**2 - 84*l + 432.
2*(l - 36)*(l - 2)*(l + 3)
Determine v, given that -4*v**5 - 698*v**4 - 29922*v**3 + 46112*v**2 - 15488*v = 0.
-88, 0, 1/2, 1
Factor r**4/9 - 154*r**3 + 53361*r**2.
r**2*(r - 693)**2/9
Solve -30*f**5/11 - 158*f**4/11 - 2*f**3/11 + 18*f**2 + 32*f/11 - 40/11 = 0 for f.
-5, -1, -2/3, 2/5, 1
Factor 22*v**4 - 54*v**3 + 30*v**2 + 14*v - 12.
2*(v - 1)**3*(11*v + 6)
Find h such that -2*h**4/13 - 8*h**3/13 + 42*h**2/13 - 8*h/13 - 56/13 = 0.
-7, -1, 2
Factor 3*o**3 + 720*o**2 - 723*o.
3*o*(o - 1)*(o + 241)
Let 2*p**3/3 + 4*p**2 - 2*p/3 - 4 = 0. What is p?
-6, -1, 1
Solve -y**5/3 - 7*y**4/3 - 14*y**3/3 - 8*y**2/3 = 0 for y.
-4, -2, -1, 0
Determine t, given that -t**2/2 + 11*t/2 + 21 = 0.
-3, 14
Solve 5*w**3 - 20*w**2 - 35*w + 50 = 0.
-2, 1, 5
Factor -r**3 + 12*r**2 - 27*r.
-r*(r - 9)*(r - 3)
Factor -t**3/6 - 431*t**2/6 - 45787*t/6 + 47089/2.
-(t - 3)*(t + 217)**2/6
Suppose 242*u**2/7 + 88*u + 56 = 0. Calculate u.
-14/11
Suppose -l**3/2 + 25*l**2 - 229*l/2 + 90 = 0. What is l?
1, 4, 45
Find x such that x**4/2 - 9*x**3/2 + 17*x**2/2 + 9*x/2 - 9 = 0.
-1, 1, 3, 6
Factor s**3 - 4*s**2 - 4*s + 16.
(s - 4)*(s - 2)*(s + 2)
Factor n**3/5 + 32*n**2/5 - 304*n/5 + 128.
(n - 4)**2*(n + 40)/5
Factor p**3/3 + 35*p**2/3 - p/3 - 35/3.
(p - 1)*(p + 1)*(p + 35)/3
Factor -3*p**3 - 114*p**2 + 237*p - 120.
-3*(p - 1)**2*(p + 40)
Factor 5*h**4 - 205*h**2 + 360*h + 560.
5*(h - 4)**2*(h + 1)*(h + 7)
Find v such that 2*v**2/11 + 74*v/11 - 240/11 = 0.
-40, 3
Factor 10*i**3/9 - 44*i**2/3 - 454*i/9 + 32/3.
2*(i - 16)*(i + 3)*(5*i - 1)/9
Let -3*d**2 - 1257*d + 2526 = 0. What is d?
-421, 2
Solve -12*s**3 + 200*s**2 - 612*s + 520 = 0 for s.
5/3, 2, 13
Factor -49*h**4 + 2086*h**3 - 5100*h**2 + 2408*h - 320.
-(h - 40)*(h - 2)*(7*h - 2)**2
Factor -2*s**3/7 - 372*s**2/7 - 23064*s/7 - 476656/7.
-2*(s + 62)**3/7
Find r, given that 9*r**2/7 + 465*r/7 - 156/7 = 0.
-52, 1/3
Factor 8*f**2 - 46*f - 144.
2*(f - 8)*(4*f + 9)
Factor -2*b**2/11 - 124*b/11 + 48.
-2*(b - 4)*(b + 66)/11
Suppose 2*v**5/3 - 113*v**4/6 - 39*v**3/2 = 0. Calculate v.
-1, 0, 117/4
Factor j**5 + 8*j**4 + 4*j**3 - 48*j**2.
j**2*(j - 2)*(j + 4)*(j + 6)
Factor -15*y**3 + 4145*y**2 - 1370*y - 2760.
-5*(y - 276)*(y - 1)*(3*y + 2)
Let 7*t**5/5 + 86*t**4/5 - 277*t**3/5 + 124*t**2/5 + 12*t = 0. What is t?
-15, -2/7, 0, 1, 2
Let p**2/2 - 53*p/2 - 55 = 0. Calculate p.
-2, 55
Determine r, given that -r**2/5 + 18*r/5 - 77/5 = 0.
7, 11
Factor 3*z**5 - 3*z**4 - 90*z**3 - 222*z**2 - 201*z - 63.
3*(z - 7)*(z + 1)**3*(z + 3)
Factor 3*z**3/2 - 123*z**2/2 + 117*z.
3*z*(z - 39)*(z - 2)/2
Factor 2*q**2/19 - 110*q/19 + 108/19.
2*(q - 54)*(q - 1)/19
Solve -3*c**5 + 57*c**4 + 6*c**3 - 114*c**2 - 3*c + 57 = 0 for c.
-1, 1, 19
Determine u, given that 33*u**3/4 - 327*u**2/4 + 99*u/2 + 162 = 0.
-12/11, 2, 9
Find f such that -f**5 + 112*f**4 - 3543*f**3 + 22360*f**2 - 18928*f = 0.
0, 1, 7, 52
Factor 4*r**3 + 156*r**2 - 360*r - 1312.
4*(r - 4)*(r + 2)*(r + 41)
Suppose 4*p**4 - 60*p**3 + 268*p**2 - 372*p + 160 = 0. What is p?
1, 5, 8
Solve 3*f**2 + 216*f - 444 = 0 for f.
-74, 2
Factor -5*s**4 - 60*s**3 - 185*s**2 - 210*s - 80.
-5*(s + 1)**2*(s + 2)*(s + 8)
Let -4*a**2 - 92*a - 304 = 0. What is a?
-19, -4
Factor 3*o**3 + 18*o**2 - 111*o + 90.
3*(o - 3)*(o - 1)*(o + 10)
Find t such that -539*t**3 - 3486*t**2 - 5940*t - 968 = 0.
-22/7, -2/11
Determine b so that b**4/2 - b**3/2 - 25*b**2/2 + 25*b/2 = 0.
-5, 0, 1, 5
Factor -3*k**2 + 84*k - 225.
-3*(k - 25)*(k - 3)
Suppose -98*f**5 + 28728*f**4 - 2093004*f**3 - 1809864*f**2 - 388962*f = 0. Calculate f.
-3/7, 0, 147
Solve -2*g**4/7 + 38*g**3/7 - 156*g**2/7 - 40*g + 400/7 = 0 for g.
-2, 1, 10
Find d such that -4*d**4/7 - 60*d**3/7 - 100*d**2/7 + 60*d/7 + 104/7 = 0.
-13, -2, -1, 1
What is j in -2*j**4/7 - 12*j**3 - 752*j**2/7 - 2220*j/7 - 1550/7 = 0?
-31, -5, -1
Factor 28*y**3/5 - 608*y**2/5 + 2512*y/5 + 768/5.
4*(y - 16)*(y - 6)*(7*y + 2)/5
Factor -3*s**3 + 72*s**2/5 - 15*s - 18/5.
-3*(s - 3)*(s - 2)*(5*s + 1)/5
Factor -4*d**4 - 40*d**3 + 48*d**2 + 40*d - 44.
-4*(d - 1)**2*(d + 1)*(d + 11)
What is r in -15*r**4 + 81*r**3 + 60*r**2 - 36*r = 0?
-1, 0, 2/5, 6
Solve -35*u**2 - 1145*u + 330 = 0 for u.
-33, 2/7
Factor -2*l**3/9 - 20*l**2/9 - 34*l/9 - 16/9.
-2*(l + 1)**2*(l + 8)/9
Find v, given that 9*v**2 - 1005*v/2 - 84 = 0.
-1/6, 56
Factor -u**4/6 - u**3/6 + u**2/2 + 5*u/6 + 1/3.
-(u - 2)*(u + 1)**3/6
Find t such that -5*t**2 - 370*t - 6845 = 0.
-37
Factor 2*q**3 + 26*q**2 + 110*q + 150.
2*(q + 3)*(q + 5)**2
Factor -3*n**2 + 1293*n - 7650.
-3*(n - 425)*(n - 6)
Find m, given that -m**5/9 - 22*m**4/3 - 475*m**3/3 - 11404*m**2/9 - 4272*m - 5184 = 0.
-27, -4
Factor -4*j**5 + 16*j**3 - 8*j**2 - 12*j + 8.
-4*(j - 1)**3*(j + 1)*(j + 2)
Solve 3*n**2 - 111*n - 234 = 0.
-2, 39
Factor 4*c**4 - 732*c**3 + 2172*c**2 - 2164*c + 720.
4*(c - 180)*(c - 1)**3
Let 2*s**2 + 2644*s + 873842 = 0. Calculate s.
-661
Factor 70*u**4 + 395*u**3/3 + 160*u**2/3 - 25*u/3.
5*u*(u + 1)**2*(42*u - 5)/3
Let -4*n**5/9 + 4*n**4/3 + 220*n**3/9 + 188*n**2/3 + 40*n = 0. What is n?
-3, -1, 0, 10
Solve 2*m**2/5 - 628*m/15 - 14 = 0 for m.
-1/3, 105
Determine i so that i**3 + 321*i**2 + 25599*i - 25921 = 0.
-161, 1
Factor 3*p**3 - 84*p**2.
3*p**2*(p - 28)
Determine i, given that 9*i**5 + 1861*i**4 + 96921*i**3 + 73851*i**2 - 21218*i = 0.
-103, -1, 0, 2/9
Let 2*k**5/5 + k**4 - 3*k**3 - 2*k**2 + 8*k/5 = 0. Calculate k.
-4, -1, 0, 1/2, 2
Solve -2*x**2/9 - 596*x/9 - 1184/9 = 0.
-296, -2
Factor m**3 + 13*m**2 - 109*m + 95.
(m - 5)*(m - 1)*(m + 19)
Factor -5*y**2 + 160*y - 1280.
-5*(y - 16)**2
Factor -2*a**2/5 + 6*a/5 + 8/5.
-2*(a - 4)*(a + 1)/5
Find g, given that g**5 + 6*g**4 + 7*g**3 - 18*g**2 - 44*g - 24 = 0.
-3, -2, -1, 2
Find d such that 4*d**5 + 104*d**4 + 944*d**3 + 3784*d**2 + 6540*d + 3600 = 0.
-12, -5, -3, -1
Factor -q**2/5 + 9*q/5.
-q*(q - 9)/5
Factor -4*y**5 - 16*y**4 - 24*y**3 - 16*y**2 - 4*y.
-4*y*(y + 1)**4
Factor -4*b**3 + 76*b**2 - 72*b.
-4*b*(b - 18)*(b - 1)
Factor 5*c**3 - 25*c**2 - 1265*c + 10285.
5*(c - 11)**2*(c + 17)
Solve -2*x**3 - 182*x**2 + 1146*x - 1746 = 0 for x.
-97, 3
Factor -2*i**2/13 + 392*i/13 - 776/13.
-2*(i - 194)*(i - 2)/13
Determine p so that 5*p**2 + 215*p + 600 = 0.
-40, -3
Factor c**3/2 + 149*c**2/2 - 151*c.
c*(c - 2)*(c + 151)/2
Factor -2*o**4 - 114*o**3 - 1676*o**2 - 1344*o + 3136.
-2*(o - 1)*(o + 2)*(o + 28)**2
Factor 250*x**5 - 2050*x**4 + 2220*x**3 - 856*x**2 + 112*x.
2*x*(x - 7)*(5*x - 2)**3
Factor -y**4/3 - y**3 + 32*y**2/3 - 20*y + 32/3.
-(y - 2)**2*(y -