*5/3 - 68*q**4/3 - 256*q**3 - 3968*q**2/3 - 9728*q/3 - 3072.
-2*(q + 4)**4*(q + 18)/3
Factor 3*z**3/4 - 81*z**2/4 + 393*z/4 - 315/4.
3*(z - 21)*(z - 5)*(z - 1)/4
Solve -14884*z**2/5 - 976*z/5 - 16/5 = 0 for z.
-2/61
Solve -j**4/11 + 19*j**3/11 - 109*j**2/11 + 141*j/11 + 270/11 = 0 for j.
-1, 5, 6, 9
Factor 2*n**5 - 10*n**4 - 16*n**3 + 96*n**2.
2*n**2*(n - 4)**2*(n + 3)
Solve 4*v**4 - 20*v**3 - 84*v**2 - 92*v - 32 = 0.
-1, 8
Factor -5*r**2 + 70*r - 65.
-5*(r - 13)*(r - 1)
Find v such that 4*v**2 - 1088*v - 1092 = 0.
-1, 273
Determine k, given that k**2/2 - 185*k/2 - 187 = 0.
-2, 187
Find z, given that -28*z**5 + 2176*z**4 - 39724*z**3 - 98888*z**2 - 69760*z - 12800 = 0.
-1, -2/7, 40
Determine r, given that r**4 - 3*r**3 - 4*r**2 = 0.
-1, 0, 4
Factor n**5 + 6*n**4 - 16*n**3 + 2*n**2 + 15*n - 8.
(n - 1)**3*(n + 1)*(n + 8)
Determine d so that 1152*d**5/5 + 288*d**4 - 1320*d**3 - 1022*d**2/3 - 86*d/3 - 4/5 = 0.
-3, -1/12, 2
Factor 4*o**3 - 64*o**2 - 304*o - 320.
4*(o - 20)*(o + 2)**2
Factor 2*b**2/7 + 1782*b/7.
2*b*(b + 891)/7
Let -10*h**4 + 1134*h**3 - 30612*h**2 - 88856*h + 40368 = 0. What is h?
-3, 2/5, 58
Determine y, given that 3*y**2/8 - 15*y/4 + 63/8 = 0.
3, 7
Let 2*b**4/9 + 16*b**3 + 2288*b**2/9 - 1216*b + 11552/9 = 0. Calculate b.
-38, 2
Factor -2*j**3/7 + 2*j/7.
-2*j*(j - 1)*(j + 1)/7
Factor -2*s**2/19 + 142*s/19 + 144/19.
-2*(s - 72)*(s + 1)/19
Solve -2*z**5 + 116*z**4 - 800*z**3 = 0.
0, 8, 50
Factor 81*v**4/4 + 63*v**3/2 + 13*v**2/4 - 7*v + 1.
(v + 1)**2*(9*v - 2)**2/4
Solve -2*i**3/19 - 1754*i**2/19 - 20194*i + 385442/19 = 0 for i.
-439, 1
Factor 4*a**5/3 - 88*a**4/3 + 144*a**3 + 648*a**2 - 4860*a.
4*a*(a - 9)**3*(a + 5)/3
Find s such that -4*s**5 - 144*s**4 - 260*s**3 + 440*s**2 + 1104*s + 544 = 0.
-34, -2, -1, 2
Factor -p**2/4 - 29*p - 841.
-(p + 58)**2/4
What is t in t**2/5 - 226*t/5 + 12769/5 = 0?
113
Factor 3*p**4 + 3*p**3 - 18*p**2.
3*p**2*(p - 2)*(p + 3)
Suppose 2*b**2 + 1640*b + 336200 = 0. What is b?
-410
Suppose -7*t**5/12 - 17*t**4/4 + 49*t**3/12 + 67*t**2/12 - 7*t/2 - 4/3 = 0. Calculate t.
-8, -1, -2/7, 1
Solve -2*o**4/11 - 152*o**3/11 - 444*o**2/11 - 40*o - 146/11 = 0.
-73, -1
Let s**4/2 + 299*s**3/4 + 37*s**2 - 149*s/4 = 0. Calculate s.
-149, -1, 0, 1/2
Factor -g**3/2 - 8*g**2 - 14*g.
-g*(g + 2)*(g + 14)/2
Determine j, given that -5*j**5 - 35*j**4 + 60*j**3 + 500*j**2 + 560*j = 0.
-7, -2, 0, 4
Factor -10*o**3 - 114*o**2 - 224*o - 72.
-2*(o + 2)*(o + 9)*(5*o + 2)
Factor -a**2 - 116*a - 448.
-(a + 4)*(a + 112)
Let 2*j**2/11 + 676*j/11 + 57122/11 = 0. Calculate j.
-169
Suppose 708*f**5 + 3740*f**4 + 988*f**3 - 60*f**2 = 0. What is f?
-5, -1/3, 0, 3/59
Factor 11*m**2/4 + 28*m + 5.
(m + 10)*(11*m + 2)/4
Factor -o**4/7 + 17*o**3/7 - 6*o**2 - 4*o/7 + 8.
-(o - 14)*(o - 2)**2*(o + 1)/7
Factor 2*f**3/3 + 170*f**2 + 14450*f + 1228250/3.
2*(f + 85)**3/3
Solve -3*i**2 - 471*i + 954 = 0.
-159, 2
Factor -5*c**3 - 175*c**2 - 160*c + 340.
-5*(c - 1)*(c + 2)*(c + 34)
Let -g**3/3 + 238*g**2 - 56644*g + 13481272/3 = 0. Calculate g.
238
Factor -14*g**2/3 - 5288*g/3 + 504.
-2*(g + 378)*(7*g - 2)/3
What is s in -10*s**2 - 326*s + 132 = 0?
-33, 2/5
Suppose k**3/3 - 431*k**2 + 140392*k - 2073680/3 = 0. What is k?
5, 644
Factor 3*x**2 + 105*x - 108.
3*(x - 1)*(x + 36)
Find p such that -98*p**4/9 - 574*p**3/3 - 320*p**2/3 - 136*p/9 = 0.
-17, -2/7, 0
Factor -15*f**4 + 54*f**3 + 99*f**2 + 30*f.
-3*f*(f - 5)*(f + 1)*(5*f + 2)
Factor -450*w**2 - 60*w - 2.
-2*(15*w + 1)**2
Find k, given that 3*k**5 + 6*k**4 - 9*k**3 - 12*k**2 + 12*k = 0.
-2, 0, 1
Solve 16*n**2 + 184*n + 529 = 0 for n.
-23/4
Factor -b**3/10 - 9*b**2/10 - 4*b/5.
-b*(b + 1)*(b + 8)/10
Factor 4*r**5 + 316*r**4 + 2272*r**3.
4*r**3*(r + 8)*(r + 71)
Find g such that g**5 + g**4 - 2*g**3 = 0.
-2, 0, 1
Suppose 2*u**2 + 100*u - 318 = 0. Calculate u.
-53, 3
Factor 2*g**4/5 + 84*g**3/5 + 794*g**2/5 - 1848*g/5 + 968/5.
2*(g - 1)**2*(g + 22)**2/5
Let -2*b**5 + 212*b**4 + 652*b**3 + 224*b**2 - 650*b - 436 = 0. Calculate b.
-2, -1, 1, 109
Factor -i**2/12 - 5*i/6.
-i*(i + 10)/12
Let -3*l**5 + 66*l**4 + 390*l**3 + 420*l**2 - 387*l - 486 = 0. What is l?
-3, -2, -1, 1, 27
Factor -5*a**2/4 + 595*a/2 - 1170.
-5*(a - 234)*(a - 4)/4
Let a**4 - 12*a**3 + 176*a + 240 = 0. What is a?
-2, 6, 10
Find v, given that v**3/11 + 97*v**2/11 + 2795*v/11 + 1849 = 0.
-43, -11
Factor -4*c**5/5 - 8*c**4/5 - 4*c**3/5.
-4*c**3*(c + 1)**2/5
Suppose -4*a**5 + 60*a**4 - 248*a**3 + 264*a**2 + 252*a - 324 = 0. What is a?
-1, 1, 3, 9
Let 10*j**3 + 22*j**2 - 8*j - 24 = 0. What is j?
-2, -6/5, 1
Let 4*f**2 + 5240*f + 1716100 = 0. What is f?
-655
Find b, given that 5*b**5 - 65*b**4 + 280*b**3 - 460*b**2 + 240*b = 0.
0, 1, 2, 4, 6
Solve 5*x**2 - 975*x + 12670 = 0.
14, 181
Factor f**2/3 - 10*f - 64/3.
(f - 32)*(f + 2)/3
Factor z**2/3 - 43*z/3 - 350/3.
(z - 50)*(z + 7)/3
Factor -i**3 - 7*i**2 - 14*i - 8.
-(i + 1)*(i + 2)*(i + 4)
Factor -5*c**2 + 1470*c.
-5*c*(c - 294)
Find f such that -32*f**5 - 6320*f**4 - 310466*f**3 + 156420*f**2 - 19602*f = 0.
-99, 0, 1/4
Suppose 3*q**4/5 - 3*q**2 + 12/5 = 0. What is q?
-2, -1, 1, 2
Factor 3*m**2 + 459*m + 3888.
3*(m + 9)*(m + 144)
Let 5*w**4 + 50*w**3 - 125*w**2 - 50*w + 120 = 0. What is w?
-12, -1, 1, 2
Factor 2*p**2/9 - 40*p/3 + 200.
2*(p - 30)**2/9
Suppose 2*i**4/9 - 2*i**3/9 - 30*i**2 - 526*i/9 - 260/9 = 0. Calculate i.
-10, -1, 13
Factor -3*h**4 - 144*h**3 - 960*h**2.
-3*h**2*(h + 8)*(h + 40)
Find x, given that -324*x**4/7 - 8*x**3/7 = 0.
-2/81, 0
Let -2*c**4 - 16*c**3 + 98*c**2 + 376*c + 264 = 0. What is c?
-11, -2, -1, 6
Factor 2*h**3 - 20*h**2 - 54*h + 72.
2*(h - 12)*(h - 1)*(h + 3)
Determine y so that 2*y**4/9 - 452*y**3/9 + 896*y**2/9 = 0.
0, 2, 224
What is w in -2*w**2/9 - 328*w/9 - 72 = 0?
-162, -2
Factor 13*w**5/8 + 253*w**4/2 + 19617*w**3/8 - 1521*w**2/4.
w**2*(w + 39)**2*(13*w - 2)/8
Factor -4*g**3 - 80*g**2 + 368*g - 384.
-4*(g - 2)**2*(g + 24)
Let 2*t**4/5 - 16*t**3/5 + 6*t**2 + 16*t/5 - 32/5 = 0. What is t?
-1, 1, 4
Find z such that -3*z**3 - 51*z**2 - 120*z + 468 = 0.
-13, -6, 2
Factor -p**4 - 2*p**3 + p**2 + 2*p.
-p*(p - 1)*(p + 1)*(p + 2)
Factor -n**3/4 - 7*n**2/2 + 111*n/4 - 45.
-(n - 3)**2*(n + 20)/4
Factor -n**2/2 + 121*n/2.
-n*(n - 121)/2
Let -4*g**5 + 14*g**4 + 124*g**3 + 154*g**2 + 48*g = 0. What is g?
-3, -1, -1/2, 0, 8
Find w, given that -4*w**5 + 6*w**4 + 40*w**3 - 54*w**2 - 36*w = 0.
-3, -1/2, 0, 2, 3
Solve -5*f**4 - 1335*f**3 - 6590*f**2 - 10500*f - 5240 = 0.
-262, -2, -1
Let -j**4/4 + j**3/4 + j**2 - j = 0. Calculate j.
-2, 0, 1, 2
Solve -i**4/5 + 22*i**3/5 - 177*i**2/5 + 616*i/5 - 784/5 = 0 for i.
4, 7
Factor -5*f**2 + 105*f + 110.
-5*(f - 22)*(f + 1)
Determine r so that r**4/6 + 9*r**3/2 - 7*r**2 - 3038*r/3 - 6860 = 0.
-14, 15
Suppose -3*n**3/5 - 6*n**2 - 21*n/5 + 54/5 = 0. What is n?
-9, -2, 1
Let -3*b**5/7 + 33*b**4 - 5865*b**3/7 + 49197*b**2/7 = 0. Calculate b.
0, 23, 31
Let 4*k**5 + 24*k**4 - 52*k**3 - 168*k**2 = 0. What is k?
-7, -2, 0, 3
Factor -3*g**2 - 60*g + 63.
-3*(g - 1)*(g + 21)
Determine f so that 130*f**3 + 397*f**2 + 19*f - 6 = 0.
-3, -2/13, 1/10
Suppose d**5/3 + 31*d**4/3 - 100*d**3/3 + 68*d**2/3 = 0. What is d?
-34, 0, 1, 2
Suppose -4*o**3 + 8*o**2 + 12*o = 0. Calculate o.
-1, 0, 3
Find j, given that -80*j**5/3 + 280*j**4/3 + 1265*j**3 + 1655*j**2/3 - 1555*j/3 + 75 = 0.
-5, -1, 1/4, 9
Factor 2*a**2/7 + 4*a.
2*a*(a + 14)/7
Solve 3*b**4/5 - 48*b**3/5 - 237*b**2/5 - 78*b/5 + 72 = 0.
-3, -2, 1, 20
Factor v**2 - 2*v - 99.
(v - 11)*(v + 9)
Factor -4*d**5 - 472*d**4 - 932*d**3 - 464*d**2.
-4*d**2*(d + 1)**2*(d + 116)
Factor -16*h**3 - 844*h**2 + 212*h.
-4*h*(h + 53)*(4*h - 1)
Solve 2*a**4/5 + 2*a**3/5 - 54*a**2/5 + 54*a/5 + 108/5 = 0.
-6, -1, 3
Factor -175*c**2 + 155*c - 30.
-5*(5*c - 3)*(7*c - 2)
Factor 2*q**4 + 14*q**3 + 28*q**2 + 16*q.
2*q*(q + 1)*(q + 2)*(q + 4)
Factor w**3 + 275*w**2 + 18768*w - 19044.
(w - 1)*(w + 138)**2
Factor -l**4 + 21*l**3 - 50*l**2 - 72*l.
-l*(l - 18)*(l - 4)*(l + 1)
Suppose m**4 + 71*m**3 - 150*m**2 - 284*m + 584 = 0. What is m?
-73, -2, 2
Suppose -d**4/10 + d**3 - 3*d**2/2 - d + 8/5 = 0. Calculate d.
-1, 1, 2, 8
Factor -5*c**2 - 17495*c - 17490.
-5*(c + 1)*(c + 3498)
Factor -10*c**2/7 + 132*c/7 - 26/7.
-2*(c - 13)*(5*c - 1)/7
Factor 5*y**5/4 - 730*y**4 + 217495*y**3/2 - 632910*y**2 + 3758445*y/4.
5*y*(y - 289)**2*(y - 3)*