 + 140.
(r - 7)*(r - 4)*(r + 5)**2/5
Let 2*u**3 + 104*u**2 + 202*u + 100 = 0. What is u?
-50, -1
Suppose 3*d**3/4 + 2655*d**2/4 + 1986*d + 1323 = 0. What is d?
-882, -2, -1
Find o such that 2*o**5/15 - 46*o**4/5 - 932*o**3/5 + 181228*o**2/15 + 1086382*o/5 - 1145814/5 = 0.
-23, 1, 57
Find z, given that -2*z**5/9 + 62*z**4/9 = 0.
0, 31
Let -2*y**2/11 - 2016*y/11 = 0. Calculate y.
-1008, 0
Factor -5*m**3 + 940*m**2 + 1900*m.
-5*m*(m - 190)*(m + 2)
What is o in -2*o**3/5 + 6*o**2/5 + 8*o/5 = 0?
-1, 0, 4
Factor 4*x**5 + 356*x**4 + 8440*x**3 + 23224*x**2 + 22532*x + 7396.
4*(x + 1)**3*(x + 43)**2
Find n, given that -2*n**4/3 - 160*n**3/3 - 156*n**2 - 464*n/3 - 154/3 = 0.
-77, -1
Factor -2*q**3 - 70*q**2 - 550*q - 1250.
-2*(q + 5)**2*(q + 25)
Factor -4*p**3/3 + 8*p**2 + 36*p.
-4*p*(p - 9)*(p + 3)/3
Find i, given that -3*i**2 - 801*i - 1590 = 0.
-265, -2
Find g such that -g**5/8 + 5*g**4/4 = 0.
0, 10
Factor n**2/3 - 4*n + 35/3.
(n - 7)*(n - 5)/3
Let -h**4 - 8*h**3 - 8*h**2 + 32*h + 48 = 0. Calculate h.
-6, -2, 2
Suppose 4*x**2 - 496*x + 1920 = 0. What is x?
4, 120
Factor 3*g**4/2 - 15*g**3/2 - 3*g**2/2 + 15*g/2.
3*g*(g - 5)*(g - 1)*(g + 1)/2
Suppose 2*g**5/5 - 72*g**4/5 + 648*g**3/5 = 0. Calculate g.
0, 18
Suppose -4*b**4/3 + 4*b**3 + 28*b**2/3 - 36*b + 24 = 0. Calculate b.
-3, 1, 2, 3
What is m in -2*m**2 - 4380*m = 0?
-2190, 0
Solve t**3/3 + 7*t**2/3 - 10*t/3 - 16/3 = 0.
-8, -1, 2
Factor 3*b**3 + 39*b**2 + 144*b + 108.
3*(b + 1)*(b + 6)**2
Factor -i**2 - 18*i - 32.
-(i + 2)*(i + 16)
Solve -3*x**3 + 783*x**2 + 4779*x + 7209 = 0 for x.
-3, 267
Factor -p**2 + p + 2.
-(p - 2)*(p + 1)
Factor -4*r**3/7 - 2720*r**2/7 - 467792*r/7 - 1827904/7.
-4*(r + 4)*(r + 338)**2/7
Solve -2*i**2/13 + 802*i/13 = 0.
0, 401
What is b in b**5 - 6*b**4 - 2*b**3 + 12*b**2 + b - 6 = 0?
-1, 1, 6
Factor 21*u**3/2 - 36*u**2 - 561*u/2 + 126.
3*(u - 7)*(u + 4)*(7*u - 3)/2
What is q in -2*q**4 + 1114*q**3/3 - 734*q**2/3 - 1114*q/3 + 740/3 = 0?
-1, 2/3, 1, 185
Find f such that -2*f**5/5 + 76*f**4/5 - 318*f**3/5 - 396*f**2/5 = 0.
-1, 0, 6, 33
Find v, given that 3*v**2 + 57*v - 60 = 0.
-20, 1
Factor 5*x**4 + 10*x**3 - 180*x**2 + 440*x - 320.
5*(x - 2)**3*(x + 8)
Factor -r**4/6 + 26*r**3/3 - 569*r**2/6 + 259*r/3.
-r*(r - 37)*(r - 14)*(r - 1)/6
Factor 14*i**4 + 30*i**3 + 18*i**2 + 2*i.
2*i*(i + 1)**2*(7*i + 1)
What is t in 27*t**3 - 15*t**2/2 + t/2 = 0?
0, 1/9, 1/6
Suppose 26*g**5/11 + 112*g**4/11 + 42*g**3/11 - 284*g**2/11 - 136*g/11 + 240/11 = 0. Calculate g.
-30/13, -2, 1
Let p**3/4 - 43*p**2/4 + 467*p/4 - 425/4 = 0. Calculate p.
1, 17, 25
What is d in d**4/2 - 8*d**3 + 13*d**2/2 + 15*d = 0?
-1, 0, 2, 15
Let 256*k**5/3 + 10784*k**4/3 + 124225*k**3/3 + 220202*k**2/3 + 26080*k/3 + 800/3 = 0. Calculate k.
-20, -2, -1/16
Let d**3/2 + 377*d**2 - d/2 - 377 = 0. What is d?
-754, -1, 1
Let -243*c**4/4 - 351*c**3/2 + 987*c**2 - 882*c = 0. Calculate c.
-6, 0, 14/9
Factor 2*h**4/9 + 4*h**3.
2*h**3*(h + 18)/9
What is p in -4*p**2/9 + 16*p/3 - 44/9 = 0?
1, 11
Factor -212*g**3 - 8472*g**2 - 84480*g + 3200.
-4*(g + 20)**2*(53*g - 2)
Factor 2*d**2 + 160*d.
2*d*(d + 80)
Find z, given that -18*z**4/7 - 582*z**3/7 - 722*z**2/7 + 678*z/7 - 124/7 = 0.
-31, -2, 1/3
Factor u**4/3 - 100*u**3/3 + 197*u**2/3 - 98*u/3.
u*(u - 98)*(u - 1)**2/3
Solve y**5 - 24*y**4 + 44*y**3 + 2*y**2 - 45*y + 22 = 0.
-1, 1, 22
Determine s so that 2*s**2/9 + 50*s/9 + 56/3 = 0.
-21, -4
Let -24*m**4 + 316*m**3 - 608*m**2 + 404*m - 88 = 0. What is m?
1/2, 2/3, 1, 11
What is u in 6*u**5/11 + 46*u**4/11 - 130*u**3/11 + 98*u**2/11 - 20*u/11 = 0?
-10, 0, 1/3, 1
Solve -a**5 - 4*a**4 - 3*a**3 = 0.
-3, -1, 0
Factor 2*k**3/5 - 28*k**2/5 + 26*k/5.
2*k*(k - 13)*(k - 1)/5
Factor -5*p**3 - 65*p**2 - 115*p - 55.
-5*(p + 1)**2*(p + 11)
Factor -2*d**2 - 242*d - 1596.
-2*(d + 7)*(d + 114)
Solve -u**2 + 11*u - 10 = 0.
1, 10
Suppose 2*f**2/5 + 44*f/5 - 208/5 = 0. What is f?
-26, 4
Find u, given that -u**4/2 + 4*u**3 + 43*u**2/2 + 29*u + 12 = 0.
-2, -1, 12
Determine n, given that 4*n**3 + 52*n**2 = 0.
-13, 0
Solve 2*n**2 + 664*n - 666 = 0.
-333, 1
Let 2*w**5/5 + 4*w**4 + 10*w**3 - 8*w**2 - 32*w + 128/5 = 0. What is w?
-4, 1
Solve 5*x**3 - 65*x**2 + 130*x + 200 = 0.
-1, 4, 10
Find x such that 3*x**3/7 + 6*x**2 + 120*x/7 = 0.
-10, -4, 0
Solve f**4/4 + 5*f**3 - 47*f**2/4 - 33*f/2 = 0 for f.
-22, -1, 0, 3
Solve 2*n**2/11 + 6*n - 656/11 = 0 for n.
-41, 8
Factor y**4 + 50*y**3 + 188*y**2 + 184*y.
y*(y + 2)**2*(y + 46)
Find c such that -10*c**4 + 2274*c**3 + 3662*c**2 + 462*c - 916 = 0.
-1, 2/5, 229
Let -a**2 - 107*a/3 - 70/3 = 0. What is a?
-35, -2/3
Factor h**4 + 7*h**3 - 39*h**2 + 53*h - 22.
(h - 2)*(h - 1)**2*(h + 11)
Factor -p**4/7 - 19*p**3/7 + 66*p**2/7 - 4*p/7 - 88/7.
-(p - 2)**2*(p + 1)*(p + 22)/7
Factor -576*w**3 - 912*w**2 + 455*w - 50.
-(w + 2)*(24*w - 5)**2
Solve 4*t**5 - 28*t**4 + 60*t**3 - 36*t**2 = 0 for t.
0, 1, 3
Find s, given that 2*s**3/9 - 4*s**2 - 38*s/9 = 0.
-1, 0, 19
Let g**2/4 - 17*g/2 + 33/4 = 0. Calculate g.
1, 33
Suppose -2*f**5/7 + 2*f**4/7 + 6*f**3/7 - 10*f**2/7 + 4*f/7 = 0. What is f?
-2, 0, 1
Solve 2*k**3/7 - 3424*k**2/7 = 0 for k.
0, 1712
Suppose 8696601*i**3/7 + 5898*i**2/7 + i/7 = 0. What is i?
-1/2949, 0
Factor 2*n**2/3 - 46*n + 132.
2*(n - 66)*(n - 3)/3
Factor 5*j**3 + 100*j**2.
5*j**2*(j + 20)
Find r such that -44*r**2/5 + 87*r/5 + 2/5 = 0.
-1/44, 2
Find s such that s**3/3 + 2204*s**2/3 + 2203*s/3 = 0.
-2203, -1, 0
Suppose -h**2 - 540*h - 2144 = 0. What is h?
-536, -4
Solve 2*f**3/3 + 34*f**2 - 320*f/3 + 72 = 0.
-54, 1, 2
Factor -2*a**5/3 - 8*a**4 + 18*a**3 - 28*a**2/3.
-2*a**2*(a - 1)**2*(a + 14)/3
Factor -2*x**3/17 + 6*x**2/17 + 26*x/17 - 30/17.
-2*(x - 5)*(x - 1)*(x + 3)/17
Suppose -2*q**2 + 710*q - 2112 = 0. Calculate q.
3, 352
Factor 5*x**3 + 20*x**2 - 60*x.
5*x*(x - 2)*(x + 6)
Let 4*t**5 + 16*t**4 - 8*t**3 - 48*t**2 + 36*t = 0. What is t?
-3, 0, 1
Factor -2*w**4/5 + 452*w**3/5 - 29282*w**2/5 + 423072*w/5 - 1752192/5.
-2*(w - 104)**2*(w - 9)**2/5
Factor -3*w**2 - 105*w - 702.
-3*(w + 9)*(w + 26)
Let 2*n**4 + 2*n**3 - 4*n**2 = 0. Calculate n.
-2, 0, 1
Solve m**3/9 + 133*m**2/9 - 269*m/9 + 15 = 0 for m.
-135, 1
Factor 4*y**2 - 10992*y + 7551504.
4*(y - 1374)**2
Factor -4*d**2 + 1424*d - 1420.
-4*(d - 355)*(d - 1)
Let g**2/4 + 13*g/2 + 40 = 0. Calculate g.
-16, -10
Let 14*c**5/15 + 20*c**4/3 - 532*c**3/15 + 664*c**2/15 - 202*c/15 - 44/15 = 0. Calculate c.
-11, -1/7, 1, 2
Solve 24*k**3 - 859*k**2 + 7596*k + 1620 = 0.
-5/24, 18
Factor -3*c**2 + 18*c + 81.
-3*(c - 9)*(c + 3)
Determine k so that -k**4 - 12*k**3 + 42*k**2 - 44*k + 15 = 0.
-15, 1
Suppose -2*n**2/7 - 74*n/7 + 328/7 = 0. Calculate n.
-41, 4
Factor -2*p**5/7 + 36*p**4/7 - 162*p**3/7.
-2*p**3*(p - 9)**2/7
Factor -3*s**2/4 + 39*s - 153/4.
-3*(s - 51)*(s - 1)/4
Suppose 3*n**4/2 + 171*n**3/2 + 1260*n**2 + 1176*n = 0. Calculate n.
-28, -1, 0
Factor -2*z**2 + 19892*z - 49461458.
-2*(z - 4973)**2
Suppose 1024*o**3/7 - 1152*o**2 - 1020*o/7 - 32/7 = 0. What is o?
-1/16, 8
Factor 4*u**2 + 272*u + 4624.
4*(u + 34)**2
Factor 5*y**3 - 280*y**2 - 1815*y - 2790.
5*(y - 62)*(y + 3)**2
What is s in -2*s**5 + 50*s**4 - 372*s**3 + 676*s**2 + 374*s - 726 = 0?
-1, 1, 3, 11
Factor l**2 - 10964*l + 30052324.
(l - 5482)**2
Factor -g**3/6 + 611*g**2/3 + g/6 - 611/3.
-(g - 1222)*(g - 1)*(g + 1)/6
Find y such that -5*y**4 - 5*y**3 + 80*y**2 + 80*y = 0.
-4, -1, 0, 4
Factor -5*m**2 - 100*m + 105.
-5*(m - 1)*(m + 21)
Let 2*m**2 + 20*m/3 - 16/3 = 0. Calculate m.
-4, 2/3
Solve -3*b**4 - 18*b**3 - 33*b**2 - 18*b = 0 for b.
-3, -2, -1, 0
Factor -98*x**2/23 - 2688*x/23 - 18432/23.
-2*(7*x + 96)**2/23
Determine b, given that -70*b**5/11 + 3788*b**4/11 - 424*b**3/11 - 432*b**2/11 = 0.
-2/7, 0, 2/5, 54
Let -4*l**4 + 242*l**3 - 3794*l**2 + 16918*l + 9438 = 0. What is l?
-1/2, 11, 39
Determine q so that -45*q**4/2 - 84*q**3 - 105*q**2/2 - 9*q = 0.
-3, -2/5, -1/3, 0
Factor -4*p**4 + 40*p**3 - 68*p**2 - 112*p.
-4*p*(p - 7)*(p - 4)*(p + 1)
Factor v**5/5 + 13*v**4 + 189*v**3/5 + 187*v**2/5 + 62*v/5.
v*(v + 1)**3*(v + 62)/5
Determine v, given that -v**4/2 + 109*v**3/2 + 226*v**2 = 0.
-4, 0, 113
Solve -2*i**4/15 + 16*i**3/15 - 8*i**2/3 + 32*i/15 = 0 for i.
0, 2, 4
Determine a so that 15*a**5 + 54*a**4 - 57*a**3 - 108*a**2 + 96*a = 0.
-4, -8/5, 0, 1
Factor 4*n**2/7 - 176*n/7 + 48.
4*(n - 42)*(n - 2)/7
F