olve 2*w**2/5 - 4*w/5 - 6/5 = 0 for w.
-1, 3
Determine w so that 2*w**4/5 + 146*w**3/15 + 62*w**2/5 + 46*w/15 = 0.
-23, -1, -1/3, 0
Let -2*s**4/9 - 8*s**3/9 - 2*s**2/3 + 8*s/9 + 8/9 = 0. What is s?
-2, -1, 1
What is j in 2*j**3 - 6*j**2 + 4*j = 0?
0, 1, 2
Determine u, given that 4*u**5 + 40*u**4 + 44*u**3 - 328*u**2 - 48*u + 288 = 0.
-6, -1, 1, 2
Factor 14*y**4/5 + 2224*y**3 + 2209702*y**2/5 + 630436*y/5.
2*y*(y + 397)**2*(7*y + 2)/5
Factor -3*h**5 - 21*h**4 - 57*h**3 - 75*h**2 - 48*h - 12.
-3*(h + 1)**3*(h + 2)**2
Find n, given that 99*n**2/8 + n/4 = 0.
-2/99, 0
Determine u, given that 3*u**4/5 - 36*u**3 - 1659*u**2/5 + 1836*u/5 = 0.
-9, 0, 1, 68
Factor -4*h**3 - 28*h**2 - 48*h.
-4*h*(h + 3)*(h + 4)
Find f such that 3*f**3 - 18*f**2 = 0.
0, 6
Factor 2*m**3/9 - 128*m**2/9 - 128*m.
2*m*(m - 72)*(m + 8)/9
Let -4*w**2 - 136*w - 1156 = 0. What is w?
-17
Determine q so that -q**4/6 - 7*q**3/2 - 37*q**2/6 + 7*q/2 + 19/3 = 0.
-19, -2, -1, 1
Factor -4*p**4/3 + 5*p**3 - 14*p**2/3.
-p**2*(p - 2)*(4*p - 7)/3
Factor -14*a**2/3 + 60*a + 26/3.
-2*(a - 13)*(7*a + 1)/3
Suppose 2*z**5/15 - 16*z**4/15 + 8*z**3/15 + 52*z**2/15 - 74*z/15 + 28/15 = 0. Calculate z.
-2, 1, 7
Factor 9*j**2/2 + 433*j/2 + 24.
(j + 48)*(9*j + 1)/2
Factor 2*u**4 + 20*u**3 - 192*u**2.
2*u**2*(u - 6)*(u + 16)
Factor -5*q**4/2 + 6*q**3 - 2*q**2.
-q**2*(q - 2)*(5*q - 2)/2
Determine j so that -2*j**3/25 - 2252*j**2/25 - 633938*j/25 = 0.
-563, 0
Factor -3*m**5 - 81*m**4 - 150*m**3 + 6*m**2 + 153*m + 75.
-3*(m - 1)*(m + 1)**3*(m + 25)
Factor 2*g**3/17 - 256*g**2/17 - 520*g/17.
2*g*(g - 130)*(g + 2)/17
Factor k**4/4 - 9*k**3/4 + 15*k**2/2 - 11*k + 6.
(k - 3)*(k - 2)**3/4
Factor -114*y**3/5 + 48*y**2 - 138*y/5 + 12/5.
-6*(y - 1)**2*(19*y - 2)/5
Factor s**3/2 - s**2 - s/2 + 1.
(s - 2)*(s - 1)*(s + 1)/2
Factor 2*z**3 + 3254*z**2 + 1315392*z - 6658560.
2*(z - 5)*(z + 816)**2
Factor -2*m**4/7 + 2*m**3/7 + 12*m**2/7.
-2*m**2*(m - 3)*(m + 2)/7
Let -4*h**2/5 + 132*h/5 + 136/5 = 0. What is h?
-1, 34
Factor 3*y**3 - 4563*y**2 + 2313441*y - 390971529.
3*(y - 507)**3
Factor 2*h**3/9 - 124*h**2/9 + 26*h + 40.
2*(h - 60)*(h - 3)*(h + 1)/9
Factor 2*z**3/7 - 24*z**2/7 - 104*z/7 + 96.
2*(z - 14)*(z - 4)*(z + 6)/7
Determine l so that -l**5/10 - 29*l**4/10 - 23*l**3/5 + 225*l**2 - 8721*l/10 + 9747/10 = 0.
-19, 3
Let -2*u**2/9 + 23012*u/9 - 66194018/9 = 0. What is u?
5753
Find m such that -3*m**2/2 + 12*m + 270 = 0.
-10, 18
Factor -3*p**2/4 - 21*p/2.
-3*p*(p + 14)/4
Factor h**5/2 - 4*h**4 + 6*h**3 + h**2 - 13*h/2 + 3.
(h - 6)*(h - 1)**3*(h + 1)/2
Factor -12*n**4 - 36*n**3 - 39*n**2 - 18*n - 3.
-3*(n + 1)**2*(2*n + 1)**2
What is y in 2*y**3 + 12*y**2 + 10*y = 0?
-5, -1, 0
Find r, given that -r**2/2 - 5626*r - 15825938 = 0.
-5626
Factor 2*x**2/11 + 122*x/11.
2*x*(x + 61)/11
Let 2*f**5/5 + 4*f**4 + 64*f**3/5 + 76*f**2/5 + 6*f = 0. What is f?
-5, -3, -1, 0
Factor 2*v**3/7 - 78*v**2/7 + 1014*v/7 - 4394/7.
2*(v - 13)**3/7
What is t in -5*t**5 + 115*t**4 - 555*t**3 + 765*t**2 = 0?
0, 3, 17
Factor -2*s**2 - 74*s - 72.
-2*(s + 1)*(s + 36)
Factor -3*z**2 - 3606*z - 1083603.
-3*(z + 601)**2
Factor 2*b**4/9 + 12*b**3 + 216*b**2 + 1296*b.
2*b*(b + 18)**3/9
Suppose 5*y**3 - 290*y**2 + 2525*y + 2820 = 0. What is y?
-1, 12, 47
Suppose -2*q**4 - 26*q**3 + 58*q**2 - 30*q = 0. What is q?
-15, 0, 1
Determine c, given that 3*c**4 + 54*c**3 - 180*c**2 + 186*c - 63 = 0.
-21, 1
Factor 3*u**4 - 6*u**3 + 3*u**2.
3*u**2*(u - 1)**2
Solve 4*y**2 + 84*y + 80 = 0.
-20, -1
Suppose -20*z**4 + 2320*z**3 - 4585*z**2 + 2855*z - 570 = 0. What is z?
1/2, 1, 114
Solve -2*v**3/7 + 14*v**2 - 428*v/7 - 528/7 = 0.
-1, 6, 44
Factor 3*j**3 - 201*j**2.
3*j**2*(j - 67)
Factor 2*w**3/11 + 134*w**2/11 + 1872*w/11 - 12960/11.
2*(w - 5)*(w + 36)**2/11
Determine f, given that 2*f**5/7 + 8*f**4/7 + 2*f**3/7 - 12*f**2/7 = 0.
-3, -2, 0, 1
Factor c**2/8 - 27*c/8 + 25/4.
(c - 25)*(c - 2)/8
Factor -8*u**3 + 878*u**2 - 652*u - 218.
-2*(u - 109)*(u - 1)*(4*u + 1)
Suppose -l**2 - 74*l - 1369 = 0. What is l?
-37
Factor 124*s**3 - 488*s**2 - 32*s.
4*s*(s - 4)*(31*s + 2)
Let 5*b**2 - 40*b - 165 = 0. What is b?
-3, 11
Factor 2*g**4 + 1760*g**3 + 1756*g**2 - 1760*g - 1758.
2*(g - 1)*(g + 1)**2*(g + 879)
Factor -p**3/5 + 11*p**2/5 - 24*p/5 - 36/5.
-(p - 6)**2*(p + 1)/5
Let 2*j**5 + 28*j**4 + 48*j**3 - 4*j**2 - 50*j - 24 = 0. What is j?
-12, -1, 1
Factor k**2/2 + k - 63/2.
(k - 7)*(k + 9)/2
Let -3*m**4 - 24*m**3 + 27*m**2 = 0. Calculate m.
-9, 0, 1
Factor 3*i**5 - 6*i**4 - 123*i**3 + 126*i**2.
3*i**2*(i - 7)*(i - 1)*(i + 6)
Suppose -2*z**4/15 - 8*z**3/15 + 14*z**2/15 + 44*z/15 - 16/5 = 0. Calculate z.
-4, -3, 1, 2
Factor 14*n**2/11 - 40*n/11 + 24/11.
2*(n - 2)*(7*n - 6)/11
Suppose -2*d**5/7 + 12*d**4/7 - 2*d**3/7 - 48*d**2/7 + 40*d/7 = 0. Calculate d.
-2, 0, 1, 2, 5
Factor -4*v**5 + 172*v**4 - 796*v**3 + 1396*v**2 - 1072*v + 304.
-4*(v - 38)*(v - 2)*(v - 1)**3
Find n such that 8*n**3/13 + 10*n**2/13 + 2*n/13 = 0.
-1, -1/4, 0
Find g, given that 6*g**2 + 314*g/3 + 136/3 = 0.
-17, -4/9
Factor v**4 - 7*v**3 + 10*v**2.
v**2*(v - 5)*(v - 2)
Suppose 5*k**2 - 115*k + 650 = 0. What is k?
10, 13
Factor 98*o**3/17 + 1288*o**2 - 12536*o/17 + 1792/17.
2*(o + 224)*(7*o - 2)**2/17
Let 5*y**5 - 105*y**4 + 190*y**3 + 10*y**2 - 195*y + 95 = 0. What is y?
-1, 1, 19
Suppose -2*g**4/9 + 4*g**3/3 + 238*g**2/9 - 256*g/3 + 520/9 = 0. Calculate g.
-10, 1, 2, 13
Factor t**2/3 - 4130*t + 12792675.
(t - 6195)**2/3
Find a such that a**4/2 - 7*a**3 + 23*a**2/2 + 7*a - 12 = 0.
-1, 1, 2, 12
Solve -6*x**3 + 123*x**2/2 - 15*x = 0 for x.
0, 1/4, 10
Suppose 3*d**3/2 + 141*d**2/2 + 60*d - 414 = 0. Calculate d.
-46, -3, 2
Solve -3*y**4 - 69*y**3 + 234*y**2 - 12*y - 312 = 0.
-26, -1, 2
Factor x**3 + 221*x**2 + 438*x.
x*(x + 2)*(x + 219)
Factor -4*o**2 - 4*o + 24.
-4*(o - 2)*(o + 3)
Determine z, given that -17*z**5/2 + 21*z**4/4 - z**3/2 = 0.
0, 2/17, 1/2
Factor -5*z**3 + 145*z**2 + 160*z - 300.
-5*(z - 30)*(z - 1)*(z + 2)
Factor -4*o**5 - 80*o**4 - 544*o**3 - 1656*o**2 - 2268*o - 1080.
-4*(o + 1)*(o + 3)**3*(o + 10)
Let -2*o**2/13 + 8/13 = 0. Calculate o.
-2, 2
Determine p, given that -4*p**5/5 - 152*p**4/5 - 1588*p**3/5 - 2736*p**2/5 - 1296*p/5 = 0.
-18, -1, 0
Determine c, given that -2*c**2 + 114*c + 620 = 0.
-5, 62
Factor -j**2 + 13*j - 22.
-(j - 11)*(j - 2)
Factor 4*n**4 + 496*n**3 + 14868*n**2 - 31752*n.
4*n*(n - 2)*(n + 63)**2
Find y such that 5*y**3 + 25*y**2 - 240*y - 1260 = 0.
-6, 7
Find z, given that -3*z**2/2 - 2823*z/2 + 2829 = 0.
-943, 2
Find i such that -2*i**4 - 34*i**3 - 62*i**2 - 30*i = 0.
-15, -1, 0
Let p**3/8 - 59*p**2/4 - 485*p/8 - 183/4 = 0. What is p?
-3, -1, 122
Factor d**2 + 7*d + 10.
(d + 2)*(d + 5)
Determine p so that 3*p**5 - 60*p**4 + 138*p**3 + 264*p**2 - 141*p - 204 = 0.
-1, 1, 4, 17
Solve -64*h**5/3 + 1952*h**4/3 + 340*h**3 - 872*h**2/3 + 124*h/3 = 0.
-1, 0, 1/4, 31
Find i, given that -21*i**5 - 13026*i**4 - 3720*i**3 = 0.
-620, -2/7, 0
Factor -l**4 + l**3 + 25*l**2 - 25*l.
-l*(l - 5)*(l - 1)*(l + 5)
Solve 2*m**2 - 464*m + 462 = 0.
1, 231
Factor 2*c**2/11 - 104*c/11 - 826/11.
2*(c - 59)*(c + 7)/11
Factor 153*l**3 - 308*l**2 + 157*l - 2.
(l - 1)**2*(153*l - 2)
Factor -5*j**4 + 30*j**3 - 60*j**2 + 50*j - 15.
-5*(j - 3)*(j - 1)**3
Solve -15*c**2/4 + 78*c = 0 for c.
0, 104/5
Determine q, given that 2*q**4 - 38*q**3 + 198*q**2 - 162*q = 0.
0, 1, 9
Let -2*z**3/7 - 708*z**2/7 - 62658*z/7 = 0. Calculate z.
-177, 0
Determine z, given that -7*z**4/6 + 5*z**3 - 6*z**2 + 4*z/3 = 0.
0, 2/7, 2
Factor -y**2/3 - 10*y/3 - 8.
-(y + 4)*(y + 6)/3
Find x such that -6*x**4 + 3860*x**3 - 1286*x**2 = 0.
0, 1/3, 643
Factor q**4 - 12*q**3 + 23*q**2 + 36*q.
q*(q - 9)*(q - 4)*(q + 1)
What is p in -p**4 - 12*p**3 - 30*p**2 - 28*p - 9 = 0?
-9, -1
Factor l**3/4 - 4*l**2 - 19*l - 20.
(l - 20)*(l + 2)**2/4
Factor -3*r**2/7 - 159*r/7 + 330/7.
-3*(r - 2)*(r + 55)/7
Factor g**4 + 12*g**3 - 5*g**2 - 336*g - 320.
(g - 5)*(g + 1)*(g + 8)**2
Suppose 3*d**4/5 + 21*d**3/5 - 462*d**2/5 - 96*d = 0. What is d?
-16, -1, 0, 10
Determine z so that -z**5/4 - z**4/4 + 3*z**3 - z**2 - 4*z = 0.
-4, -1, 0, 2
Determine y, given that 2*y**5/7 + 12*y**4/7 + 16*y**3/7 - 12*y**2/7 - 18*y/7 = 0.
-3, -1, 0, 1
Suppose -3*o**2 + 150*o - 1575 = 0. What is o?
15, 35
Suppose 5*o**3 + 145*o**2 + 1395*o + 4455 = 0. Calculate o.
-11, -9
Factor -4*b**2