 348*h**2 - 30621*h + 59858.
-(h - 173)**2*(h - 2)
Factor -2*z**5/9 - 16*z**4/9 + 38*z**3/9 - 20*z**2/9.
-2*z**2*(z - 1)**2*(z + 10)/9
Factor -45*s**2 - 1380*s - 10580.
-5*(3*s + 46)**2
Factor -2*k**2 + 1024*k - 2040.
-2*(k - 510)*(k - 2)
What is n in 7*n**5/3 + 3*n**4 - 68*n**3/3 - 16*n**2 + 160*n/3 + 16 = 0?
-3, -2, -2/7, 2
Find n, given that -2*n**4/9 + 10*n**3/9 - 2*n**2/3 - 2*n = 0.
-1, 0, 3
Determine j so that 8*j**3/9 + 2*j**2/9 - 32*j/9 - 8/9 = 0.
-2, -1/4, 2
Let -2*g**4/7 - 384*g**3/7 + 774*g**2/7 - 388*g/7 = 0. Calculate g.
-194, 0, 1
Factor -t**5 - 7*t**4 - 5*t**3 + 7*t**2 + 6*t.
-t*(t - 1)*(t + 1)**2*(t + 6)
Let -36*m**2 - 4960*m + 1104 = 0. What is m?
-138, 2/9
Factor 2*x**3/3 - 2*x**2 + 4*x/3.
2*x*(x - 2)*(x - 1)/3
Factor -p**3/4 + 15*p**2 - 1053*p/4 + 2187/2.
-(p - 27)**2*(p - 6)/4
Factor -2*k**4/7 + 26*k**3/7 - 32*k**2/7 - 384*k/7.
-2*k*(k - 8)**2*(k + 3)/7
Factor 3*u**4/4 + 3*u**3/2.
3*u**3*(u + 2)/4
Solve -2*w**5/5 - 6*w**4/5 + 44*w**3/5 + 48*w**2/5 = 0 for w.
-6, -1, 0, 4
Determine f, given that f**5 + 31*f**4 + 327*f**3 + 1377*f**2 + 2376*f + 1296 = 0.
-12, -3, -1
Factor s**4 - 99*s**3 + 2594*s**2 - 7104*s + 4608.
(s - 48)**2*(s - 2)*(s - 1)
Solve -3*m**3 - 62*m**2/5 - 53*m/5 - 6/5 = 0 for m.
-3, -1, -2/15
Factor y**3/7 - 10*y**2/7 + 17*y/7 - 8/7.
(y - 8)*(y - 1)**2/7
Determine l so that -845*l**4 - 8645*l**3 - 16440*l**2 - 11200*l - 2560 = 0.
-8, -1, -8/13
Determine r, given that 3*r**4/4 - 15*r**3/4 - 57*r**2/4 + 87*r/4 + 63/2 = 0.
-3, -1, 2, 7
Determine o so that -o**3/9 + 13*o**2/9 - 35*o/9 - 49/9 = 0.
-1, 7
Solve 4*k**3/7 + 52*k**2/7 + 160*k/7 + 144/7 = 0.
-9, -2
Factor 71*a**3/2 + 107*a**2 + 145*a/2 + 1.
(a + 1)*(a + 2)*(71*a + 1)/2
Factor r**2 + 23*r + 42.
(r + 2)*(r + 21)
Factor 3*r**4 - 168*r**3 + 936*r**2 - 1824*r + 1200.
3*(r - 50)*(r - 2)**3
Factor 5*g**3 + 90*g**2.
5*g**2*(g + 18)
Factor -2*u**2/7 - 186*u/7 - 184/7.
-2*(u + 1)*(u + 92)/7
Factor t**3/2 + 107*t**2/2 - 221*t/2 - 327/2.
(t - 3)*(t + 1)*(t + 109)/2
Find t such that 4*t**4/3 + 20*t**3/3 + 28*t**2/3 + 4*t = 0.
-3, -1, 0
Factor -2*w**3/11 + 60*w**2/11 - 384*w/11 - 1024/11.
-2*(w - 16)**2*(w + 2)/11
Find z, given that 2*z**3/15 + 248*z**2/15 - 514*z/5 + 156 = 0.
-130, 3
Solve -6*m**3 - 19*m**2 + 21*m + 4 = 0 for m.
-4, -1/6, 1
Factor 5*x**3 - 295*x**2 + 3480*x + 3780.
5*(x - 42)*(x - 18)*(x + 1)
Factor -2*k**2/7 - 48*k/7 + 162/7.
-2*(k - 3)*(k + 27)/7
Factor p**2/5 - 52*p - 261/5.
(p - 261)*(p + 1)/5
Factor -2*o**2/3 - 398*o + 1200.
-2*(o - 3)*(o + 600)/3
Factor -u**3/3 - 2*u**2 - 8*u/3.
-u*(u + 2)*(u + 4)/3
Solve 4*d**2 + 68*d + 64 = 0 for d.
-16, -1
Factor -i**3 + 41*i**2 - 78*i.
-i*(i - 39)*(i - 2)
Factor -14*t**3 - 5526*t**2 - 9424*t + 3144.
-2*(t + 2)*(t + 393)*(7*t - 2)
Factor -s**2 + 2032*s - 1032256.
-(s - 1016)**2
Find d, given that 2*d**2 + 166*d + 324 = 0.
-81, -2
Find z, given that -98*z**3 - 2296*z**2 + 1336*z - 192 = 0.
-24, 2/7
Solve -2*a**4/11 + 50*a**3/11 - 370*a**2/11 + 910*a/11 - 588/11 = 0 for a.
1, 3, 7, 14
Let -2*o**5/3 - 68*o**4/3 - 128*o**3/3 + 4*o**2/3 + 130*o/3 + 64/3 = 0. Calculate o.
-32, -1, 1
Factor -a**5/2 + 12*a**4 - 45*a**3/2 + 11*a**2.
-a**2*(a - 22)*(a - 1)**2/2
Factor 3*r**3/2 - 483*r**2/2 - 3*r/2 + 483/2.
3*(r - 161)*(r - 1)*(r + 1)/2
Determine y, given that 2*y**5/5 - 42*y**4 + 4286*y**3/5 - 22542*y**2/5 - 5408*y = 0.
-1, 0, 13, 80
Let 6*i**5/7 + 12*i**4/7 - 12*i**2/7 - 6*i/7 = 0. Calculate i.
-1, 0, 1
Factor 4*k**2/3 - 604*k/3 - 608/3.
4*(k - 152)*(k + 1)/3
Factor -12*w**4 - 2*w**3 + 12*w**2 + 2*w.
-2*w*(w - 1)*(w + 1)*(6*w + 1)
What is b in -2*b**2/15 - 144*b/5 - 86/3 = 0?
-215, -1
Factor -n**3 + 11*n**2 - 24*n - 36.
-(n - 6)**2*(n + 1)
What is c in 3*c**2/8 + 39*c/4 = 0?
-26, 0
Determine c so that 5*c**3 - 1335*c**2 + 87075*c + 273375 = 0.
-3, 135
Determine c so that -2*c**5 - 6*c**4 + 14*c**3 + 22*c**2 - 12*c - 16 = 0.
-4, -1, 1, 2
Solve o**3 + 11*o**2 + 15*o - 27 = 0.
-9, -3, 1
Let 4*q**4 + 68*q**3 - 72*q**2 = 0. What is q?
-18, 0, 1
Factor -f**2/5 - 68*f + 341/5.
-(f - 1)*(f + 341)/5
What is g in -g**5/4 + g**4 + 3*g**3/2 - g**2 - 5*g/4 = 0?
-1, 0, 1, 5
Factor -k**3/4 + 11*k**2/2 - 26*k + 32.
-(k - 16)*(k - 4)*(k - 2)/4
Solve -2*a**3/21 + 8*a**2/7 + 86*a/21 + 20/7 = 0 for a.
-2, -1, 15
Find o such that 14*o**4/17 - 1936*o**3/17 + 538*o**2/17 + 1936*o/17 - 552/17 = 0.
-1, 2/7, 1, 138
Determine j so that j**4/4 - 3*j**3/2 + 11*j**2/4 - 3*j/2 = 0.
0, 1, 2, 3
Suppose -14*i**4 - 116*i**3 + 94*i**2 + 36*i = 0. Calculate i.
-9, -2/7, 0, 1
Determine y, given that 4*y**4/7 - 53*y**3/7 + 181*y**2/7 - 6*y = 0.
0, 1/4, 6, 7
What is d in 25*d**5 - 265*d**4 - 560*d**3 + 1620*d**2 + 720*d = 0?
-3, -2/5, 0, 2, 12
Suppose -2*p**3/11 - 42*p**2/11 + 48*p/11 + 8 = 0. Calculate p.
-22, -1, 2
Factor -4*k**3 + 24*k**2 - 36*k.
-4*k*(k - 3)**2
Solve -21*t**4/2 + 99*t**3/2 + 51*t**2/2 - 99*t/2 - 15 = 0 for t.
-1, -2/7, 1, 5
Let -2*p**2/3 - 172*p = 0. What is p?
-258, 0
Factor 9*h**3/4 - 159*h**2/4 - 27*h/2.
3*h*(h - 18)*(3*h + 1)/4
Factor -r**4 + 32*r**3 - 31*r**2.
-r**2*(r - 31)*(r - 1)
Factor -2*o**2/3 - 28*o/3 - 16.
-2*(o + 2)*(o + 12)/3
What is q in 3*q**4/2 + 168*q**3 - 4059*q**2/2 = 0?
-123, 0, 11
What is c in 6*c**2 + 27*c + 30 = 0?
-5/2, -2
Let -4*u**2/3 - 296*u - 16428 = 0. What is u?
-111
Let -2*i**3/9 + 128*i**2/9 - 1768*i/9 - 9248/9 = 0. Calculate i.
-4, 34
Solve -z**5/3 - 49*z**4/3 - 616*z**3/3 - 60*z**2 + 1728*z + 2304 = 0 for z.
-24, -2, 3
Factor -2*c**3/5 - 16*c**2 - 70*c.
-2*c*(c + 5)*(c + 35)/5
Suppose a**4 - 12*a**3 + 21*a**2 - 10*a = 0. What is a?
0, 1, 10
Solve -10*f**4/7 + 204*f**3/7 + 590*f**2/7 + 192*f/7 - 184/7 = 0.
-2, -1, 2/5, 23
Factor 2*t**2/7 - 64*t/7 + 62/7.
2*(t - 31)*(t - 1)/7
Determine j so that -5*j**2 + 30*j - 40 = 0.
2, 4
Determine b, given that 3*b**2/7 + 96*b/7 - 45 = 0.
-35, 3
Factor 15*z**3/8 + 621*z**2/8 - 48*z - 63/2.
3*(z - 1)*(z + 42)*(5*z + 2)/8
Factor 3*c**5 - 15*c**4 - 21*c**3 + 15*c**2 + 18*c.
3*c*(c - 6)*(c - 1)*(c + 1)**2
Factor -2*s**3/21 + 16*s**2/21 + 158*s/21 + 20/3.
-2*(s - 14)*(s + 1)*(s + 5)/21
Factor 4*t**2 - 2464*t + 4912.
4*(t - 614)*(t - 2)
Factor -2*g**2 + 2366*g.
-2*g*(g - 1183)
Factor 5*r**4 + 170*r**3 - 355*r**2 + 180*r.
5*r*(r - 1)**2*(r + 36)
Factor 5*a**3 + 52*a**2 + 13*a - 70.
(a - 1)*(a + 10)*(5*a + 7)
Factor -2*r**4/11 + 28*r**3/11 - 120*r**2/11 + 144*r/11.
-2*r*(r - 6)**2*(r - 2)/11
Factor 5*t**2 - 20*t - 105.
5*(t - 7)*(t + 3)
Factor -f**4/9 + f**3/9 + 2*f**2/3.
-f**2*(f - 3)*(f + 2)/9
Factor 3*x**3/2 - 5*x**2 + 11*x/2 - 2.
(x - 1)**2*(3*x - 4)/2
Factor -p**3 - 4*p**2 + 32*p.
-p*(p - 4)*(p + 8)
Solve -4*n**2 - 52*n = 0.
-13, 0
Factor 2*o**3/5 + 6*o**2/5 - 8*o/5 - 24/5.
2*(o - 2)*(o + 2)*(o + 3)/5
Factor 4*b**5 - 20*b**4 - 8*b**3 + 96*b**2.
4*b**2*(b - 4)*(b - 3)*(b + 2)
Find l such that 1146*l**2/5 - 1374*l - 36/5 = 0.
-1/191, 6
Suppose -3*v**2 - 330*v - 9075 = 0. What is v?
-55
Let -2*j**2 + 32*j = 0. What is j?
0, 16
Find a, given that -4*a**5/3 + 35*a**4/3 - 79*a**3/3 - 22*a**2/3 + 128*a/3 + 32/3 = 0.
-1, -1/4, 2, 4
Factor 2*w**3/23 + 2*w**2/23 - 32*w/23 + 40/23.
2*(w - 2)**2*(w + 5)/23
Suppose 2*g**2 - 580*g + 1152 = 0. What is g?
2, 288
Factor 3*m**4 + 15*m**3 + 12*m**2.
3*m**2*(m + 1)*(m + 4)
Factor 4*f**2 + 16*f + 16.
4*(f + 2)**2
Factor -h**2/5 - 541*h/5 - 108.
-(h + 1)*(h + 540)/5
Let 2*y**4/5 + 10*y**3 + 272*y**2/5 = 0. Calculate y.
-17, -8, 0
Suppose 101*p**5/4 + 203*p**4/2 + 311*p**3/4 - 199*p**2/2 - 103*p - 2 = 0. Calculate p.
-2, -1, -2/101, 1
Factor -2*k**2/21 - 466*k/7.
-2*k*(k + 699)/21
Determine j so that 4*j**2 - 2804*j - 2808 = 0.
-1, 702
Solve 2*o**2 - 2708*o + 5408 = 0 for o.
2, 1352
Factor 3*g**3 + 3*g**2.
3*g**2*(g + 1)
Suppose -2*t**4/5 - 8*t**3/5 + 38*t**2/5 - 28*t/5 = 0. What is t?
-7, 0, 1, 2
What is q in 55*q**4 + 215*q**3 - 70*q**2 - 200*q = 0?
-4, -10/11, 0, 1
Factor 5*x**2 - 7015*x + 7010.
5*(x - 1402)*(x - 1)
Factor 8*c**4 + 4*c**3 - 8*c**2 - 4*c.
4*c*(c - 1)*(c + 1)*(2*c + 1)
Let -3*o**5/2 + 9*o**4 + 15*o**3 - 30*o**2 - 27*o/2 + 21 = 0. What is o?
-2, -1, 1, 7
Factor 5*t**5 + 60*t**4 + 220*t**3 + 90*t**2 - 945*t - 1350.
5*(t - 2)*(t + 3)**3*(t + 5)
Factor -5*z**2 - 45*z - 100.
-5*(z + 4)*(z + 5)
Solve 105*g**4 - 530*g**3 - 1455*g**2 + 120*g + 140 = 0 for g.
-2, -2/7, 1/3, 7
Find d, given that -20*d**2 + 185*d + 150 = 0.
-3/4