2.
-(z - 2)**2*(z + 3)
Let 3*j**4 - 159*j**3/2 + 459*j**2 + 966*j - 588 = 0. Calculate j.
-2, 1/2, 14
Suppose 4*m**5/9 + 52*m**4/9 + 44*m**3/3 + 124*m**2/9 + 40*m/9 = 0. Calculate m.
-10, -1, 0
Factor 2*w**3 - 24*w**2 + 90*w - 108.
2*(w - 6)*(w - 3)**2
Find g, given that -g**2/2 - 27*g/2 - 46 = 0.
-23, -4
Factor 4*j**5 - 36*j**4 - 88*j**3 - 8*j**2 + 84*j + 44.
4*(j - 11)*(j - 1)*(j + 1)**3
Solve 4*c**2 - 12*c - 112 = 0 for c.
-4, 7
Factor 4*n**2 - 76*n + 136.
4*(n - 17)*(n - 2)
Let 2*s**5 - 256*s**4 - 780*s**3 - 784*s**2 - 262*s = 0. What is s?
-1, 0, 131
Factor 4*g**3 + 52*g**2 + 76*g - 132.
4*(g - 1)*(g + 3)*(g + 11)
Solve o**5 + 6*o**4 - 11*o**3 - 24*o**2 + 28*o = 0.
-7, -2, 0, 1, 2
Factor 2*m**2 + 16*m - 256.
2*(m - 8)*(m + 16)
Factor 8*m**5/7 + 304*m**4/7 - 138*m**3 + 738*m**2/7.
2*m**2*(m + 41)*(2*m - 3)**2/7
Factor 2*i**2/9 - 28*i/3 - 30.
2*(i - 45)*(i + 3)/9
What is a in 2*a**3 - 6*a + 4 = 0?
-2, 1
Factor -p**3 - 15*p**2 - 36*p.
-p*(p + 3)*(p + 12)
Solve x**5/7 - 2*x**4 + 34*x**3/7 - 8*x**2/7 - 5*x + 22/7 = 0.
-1, 1, 2, 11
Determine x so that -x**2/2 - 2740*x - 3753800 = 0.
-2740
Factor -3*r**4 - 159*r**3 - 156*r**2.
-3*r**2*(r + 1)*(r + 52)
Let x**2 + 176*x - 2057 = 0. What is x?
-187, 11
Solve -3*z**4 - 117*z**3 - 330*z**2 - 216*z = 0 for z.
-36, -2, -1, 0
Find r such that -7*r**3/2 - 8*r**2 - 11*r/2 - 1 = 0.
-1, -2/7
Factor 4*m**3 + 20*m**2 - 52*m + 28.
4*(m - 1)**2*(m + 7)
Find t, given that 5*t**4 - 2285*t**3 + 348840*t**2 - 17905600*t + 17559040 = 0.
1, 152
Suppose 5*i**4 + 202*i**3 + 1695*i**2 - 1174*i - 728 = 0. What is i?
-28, -13, -2/5, 1
Suppose 6*i**4 - 2*i**3 - 10*i**2 + 2*i + 4 = 0. Calculate i.
-1, -2/3, 1
What is p in -2*p**3/5 + 2*p**2 = 0?
0, 5
Factor 3*h**4 + 19*h**3 + 4*h**2 - 12*h.
h*(h + 1)*(h + 6)*(3*h - 2)
Find l, given that 3*l**2 - 2994*l - 2997 = 0.
-1, 999
Suppose -3*o**2/7 + 3603*o/7 + 7218/7 = 0. Calculate o.
-2, 1203
Factor 9*g**3 + 3*g**2 - 21*g - 15.
3*(g + 1)**2*(3*g - 5)
Let -2*c**3 + 22*c**2 - 72*c + 72 = 0. What is c?
2, 3, 6
Suppose 15*b**5 - 219*b**4 - 105*b**3 + 219*b**2 + 90*b = 0. Calculate b.
-1, -2/5, 0, 1, 15
Solve 3*a**4 - 45*a**2 + 30*a + 72 = 0 for a.
-4, -1, 2, 3
Find z, given that 16*z**5 - 636*z**3 - 1132*z**2 + 492*z + 1260 = 0.
-5, -3/2, 1, 7
Factor 2*u**2 - 2680*u - 2682.
2*(u - 1341)*(u + 1)
Factor -r**3/6 - 269*r**2/6 + 271*r/3.
-r*(r - 2)*(r + 271)/6
Determine c, given that -2*c**3 + 64*c**2 - 482*c + 420 = 0.
1, 10, 21
Find i, given that -25*i**3 + 570*i**2 - 495*i - 1090 = 0.
-1, 2, 109/5
Factor -6*m**3/5 - 16*m**2/5 + 66*m/5 - 4.
-2*(m - 2)*(m + 5)*(3*m - 1)/5
Find k, given that 3*k**2/5 + 6*k/5 - 144/5 = 0.
-8, 6
Factor 495*r**2 + 970*r - 240.
5*(9*r - 2)*(11*r + 24)
Let 5*v**4/4 + 55*v**3/2 + 165*v**2 + 505*v/2 + 455/4 = 0. What is v?
-13, -7, -1
Solve -2*f**4/5 + 6*f**3 - 116*f**2/5 + 168*f/5 - 16 = 0 for f.
1, 2, 10
Let 2*m**4/3 - 14*m**3/3 = 0. Calculate m.
0, 7
Find b, given that 3*b**3 + 1923*b**2 + 1920*b = 0.
-640, -1, 0
Factor -j**2/3 + 172*j/3 - 57.
-(j - 171)*(j - 1)/3
Let -3*q**4 - 183*q**3 - 693*q**2 - 513*q = 0. What is q?
-57, -3, -1, 0
Suppose -15*j**4 + 430*j**3 + 665*j**2 - 1980*j + 900 = 0. Calculate j.
-3, 2/3, 1, 30
Let x**3/4 + 3*x**2/4 - 9*x/2 - 10 = 0. What is x?
-5, -2, 4
Suppose 128*h**3 - 608*h**2 + 402*h - 72 = 0. Calculate h.
3/8, 4
What is k in k**2/5 - 148*k/5 + 292/5 = 0?
2, 146
Determine t, given that t**3/9 - 4619*t**2/9 + 5336099*t/9 - 5331481/9 = 0.
1, 2309
Factor -m**2 + 25*m - 84.
-(m - 21)*(m - 4)
Solve -r**2 + 4*r - 3 = 0 for r.
1, 3
Suppose 5*l**2 - 725*l - 730 = 0. Calculate l.
-1, 146
Determine y so that -y**3 - 2*y**2 + 5*y + 6 = 0.
-3, -1, 2
Find m such that 4*m**4/5 - 56*m**3/5 - 64*m**2/5 + 56*m/5 + 12 = 0.
-1, 1, 15
Determine w, given that -3*w**3/4 + 99*w**2/4 + 285*w/2 = 0.
-5, 0, 38
Let 64*b**4/7 - 32*b**3/7 + 4*b**2/7 = 0. What is b?
0, 1/4
Factor -n**3/9 + 374*n**2/3 - 249*n + 1120/9.
-(n - 1120)*(n - 1)**2/9
Factor 2*q**2/3 + 284*q/3 - 290.
2*(q - 3)*(q + 145)/3
Suppose 9*q**4 + 61*q**3 + 112*q**2 + 44*q - 16 = 0. Calculate q.
-4, -2, -1, 2/9
Factor -i**3/6 - i**2/6.
-i**2*(i + 1)/6
Solve 2*l**4 + 46*l**3 + 324*l**2 + 680*l + 400 = 0 for l.
-10, -2, -1
Factor -6*o**3/7 - 548*o**2/7 - 12328*o/7 + 8464/7.
-2*(o + 46)**2*(3*o - 2)/7
Find b such that -25*b**4/2 + 35*b**3 + 331*b**2/2 - 146*b + 30 = 0.
-3, 2/5, 5
Solve -3*o**2 - 576*o - 1140 = 0 for o.
-190, -2
Suppose 9*n**2/5 + 16*n/5 - 208/5 = 0. What is n?
-52/9, 4
Factor 2*s**2/11 - 1684*s/11 + 354482/11.
2*(s - 421)**2/11
Factor -3*m**3 - 99*m**2 - 816*m.
-3*m*(m + 16)*(m + 17)
Determine o, given that 2*o**5/13 + 10*o**4/13 - 14*o**3/13 - 10*o**2/13 + 12*o/13 = 0.
-6, -1, 0, 1
Factor -2*z**3/11 - 52*z**2/11 - 338*z/11.
-2*z*(z + 13)**2/11
Determine q, given that -10*q**5/3 - 102*q**4 - 2116*q**3/3 + 1152*q**2 - 1024*q/3 = 0.
-16, 0, 2/5, 1
Find p, given that p**3/4 - p**2/4 - p/2 = 0.
-1, 0, 2
Factor h**2 - 324*h + 644.
(h - 322)*(h - 2)
Suppose -2*y**2/3 - 74*y/3 - 88 = 0. Calculate y.
-33, -4
Suppose 3*i**2 + 1698*i + 240267 = 0. What is i?
-283
Factor 4*t**2 + 12*t.
4*t*(t + 3)
Suppose -5*i**4/6 - 5*i**3/2 + 40*i**2/3 - 10*i = 0. Calculate i.
-6, 0, 1, 2
Factor 4*a**3/3 + 970*a**2/9 - 382*a/3 + 164/9.
2*(a - 1)*(a + 82)*(6*a - 1)/9
Factor b**4/4 - b**3/4 - 3*b**2/4 + b/4 + 1/2.
(b - 2)*(b - 1)*(b + 1)**2/4
Find k such that k**4 - 168*k**3/5 + 1377*k**2/5 + 578*k/5 = 0.
-2/5, 0, 17
Factor -b**3 + 452*b**2 - 1347*b.
-b*(b - 449)*(b - 3)
Factor -2*z**3 + 10*z**2.
-2*z**2*(z - 5)
Factor -3*u**4 - 24*u**3 - 60*u**2 - 48*u.
-3*u*(u + 2)**2*(u + 4)
Factor c**4 + 30*c**3 + 216*c**2 - 270*c - 2025.
(c - 3)*(c + 3)*(c + 15)**2
Solve -2*v**4/9 - 26*v**3/3 + 1600*v**2/9 - 2848*v/3 + 14080/9 = 0 for v.
-55, 4, 8
Suppose 5*s**5 - 245*s**4 + 1330*s**3 - 1720*s**2 = 0. What is s?
0, 2, 4, 43
Suppose 7*r**5/5 + 47*r**4/5 - 21*r**3/5 - 47*r**2/5 + 14*r/5 = 0. Calculate r.
-7, -1, 0, 2/7, 1
Suppose -5*n**3 + 15*n**2 + 5*n - 15 = 0. What is n?
-1, 1, 3
Suppose -g**5/7 - 51*g**4/7 - 674*g**3/7 - 82*g**2 + 675*g/7 + 625/7 = 0. Calculate g.
-25, -1, 1
Let 972*z**4 + 108*z**3 + 3*z**2 = 0. What is z?
-1/18, 0
Suppose k**2/4 - 2*k - 65/4 = 0. What is k?
-5, 13
Factor -7*x**3/4 + 435*x**2/2 - 6789*x + 1922.
-(x - 62)**2*(7*x - 2)/4
Let n**4/5 + 11*n**3/5 + 9*n**2 + 81*n/5 + 54/5 = 0. What is n?
-3, -2
Factor -w**5/12 - 5*w**4/12 - w**3/4 + 3*w**2/4.
-w**2*(w - 1)*(w + 3)**2/12
What is d in -d**3/7 + 286*d**2/7 - 285*d/7 = 0?
0, 1, 285
Let -i**4/2 + 11*i**3/2 + i**2/2 - 11*i/2 = 0. Calculate i.
-1, 0, 1, 11
What is c in -3*c**5/5 - 27*c**4 - 498*c**3/5 - 234*c**2/5 + 501*c/5 + 369/5 = 0?
-41, -3, -1, 1
Factor -45*f**5 + 200*f**4 - 260*f**3 + 80*f**2.
-5*f**2*(f - 2)**2*(9*f - 4)
Factor -3*w**2 - 78*w - 75.
-3*(w + 1)*(w + 25)
Find s such that -56*s**3 - 158*s**2 + 550*s - 300 = 0.
-5, 3/4, 10/7
Determine n, given that 2*n**3/7 - 12*n**2/7 + 6*n/7 + 20/7 = 0.
-1, 2, 5
Factor 2*d**4/11 + 1316*d**3/11 + 26280*d**2 + 21294684*d/11 + 21006918/11.
2*(d + 1)*(d + 219)**3/11
Let -3*q**5 - 15*q**4 - 18*q**3 = 0. Calculate q.
-3, -2, 0
Factor -3*s**2 + 2478*s - 511707.
-3*(s - 413)**2
Find o such that 2*o**5 + 14*o**4 - 72*o**2 = 0.
-6, -3, 0, 2
Factor 2*i**5/7 - 4*i**4/7 + 4*i**2/7 - 2*i/7.
2*i*(i - 1)**3*(i + 1)/7
Find p, given that 4*p**3 - 20*p**2 - 16*p + 80 = 0.
-2, 2, 5
Determine i so that -i**2/8 + 24*i + 193/8 = 0.
-1, 193
Find v such that v**2 + 612*v + 611 = 0.
-611, -1
Solve 2*y**2 - 16*y - 168 = 0 for y.
-6, 14
Determine q so that 5*q**3 - 150*q**2 + 285*q - 140 = 0.
1, 28
Factor -20*v**4 - 121*v**3 - 6*v**2.
-v**2*(v + 6)*(20*v + 1)
Determine s, given that 2*s**3/3 - 74*s**2/3 + 272*s/3 - 88 = 0.
2, 33
Let d**3/4 - 6*d**2 + 36*d = 0. Calculate d.
0, 12
Find j, given that -2*j**4/7 + 202*j**3/7 - 1684*j**2/7 + 368*j = 0.
0, 2, 7, 92
Solve g**2/3 + 10*g/3 + 3 = 0 for g.
-9, -1
Suppose -20*a**3/11 + 15222*a**2/11 - 138*a - 3044/11 = 0. What is a?
-2/5, 1/2, 761
What is y in 5*y**2 - 215*y + 410 = 0?
2, 41
Determine r so that 2*r**5 - 20*r**4 - 294*r**3 + 992*r**2 - 680*r = 0.
-10, 0, 1, 2, 17
Determine u, given that u**4/4 + 19*u**3/4 + 99*u**2/4 + 81*u/4 = 0.
-9, -1, 0
Factor 3*n**5 + 18*n**4 - 81*n**3.
3*n**3*(n - 3)*(n + 9)
Suppose -4*s**2 + 92*s + 96 = 0. Calculate s.
-1, 24
Solve -2*n