*2 + 15*o + 18 = 0.
-3, -2
Solve -k**5 + 2305*k**4 - 1769469*k**3 + 451208443*k**2 + 909513218*k = 0 for k.
-2, 0, 769
Factor -2*x**2 - 46*x - 84.
-2*(x + 2)*(x + 21)
Factor o**4/7 - o**3/7 - 9*o**2/7 + 9*o/7.
o*(o - 3)*(o - 1)*(o + 3)/7
Factor -322*u**3 + 3*u**2 + 322*u - 3.
-(u - 1)*(u + 1)*(322*u - 3)
Determine m, given that -m**3 - 28*m**2 - 245*m - 686 = 0.
-14, -7
Factor -y**3 + 299*y**2 - 22200*y - 22500.
-(y - 150)**2*(y + 1)
Let s**2/6 - 107*s/3 = 0. Calculate s.
0, 214
Find f such that 15*f**5 - 21*f**4 - 54*f**3 + 84*f**2 - 24*f = 0.
-2, 0, 2/5, 1, 2
Solve -k**2/2 - 103*k/2 - 101 = 0 for k.
-101, -2
Factor c**2/3 - 7*c/3 + 10/3.
(c - 5)*(c - 2)/3
Factor -4*o**4 + 16*o**3 - 20*o**2 + 8*o.
-4*o*(o - 2)*(o - 1)**2
Solve 3*a**3 + 1614*a**2 - 16365*a + 41100 = 0.
-548, 5
Factor -50*l**3 - 93040*l**2 - 74408*l - 14880.
-2*(l + 1860)*(5*l + 2)**2
Factor -j**2 - 98*j - 2401.
-(j + 49)**2
Solve -2*d**2 - 30*d + 32 = 0.
-16, 1
Factor -2*t**3 + 10*t**2 - 12*t.
-2*t*(t - 3)*(t - 2)
Solve u**5/5 - 22*u**3/5 + 4*u**2 + 21*u/5 - 4 = 0 for u.
-5, -1, 1, 4
Find l, given that 3*l**4/4 + 111*l**3/4 + 963*l**2/4 - 1311*l/4 - 1083/2 = 0.
-19, -1, 2
Factor -5*u**5 - 6840*u**4 - 2346110*u**3 - 4671720*u**2 - 2332445*u.
-5*u*(u + 1)**2*(u + 683)**2
Determine v so that -5*v**5/6 - 25*v**4/3 - 15*v**3/2 + 130*v**2/3 - 80*v/3 = 0.
-8, -4, 0, 1
Factor 4*l**3 + 104*l**2 + 572*l + 760.
4*(l + 2)*(l + 5)*(l + 19)
Determine s so that -8*s**4/9 - 17*s**3/9 - s**2 = 0.
-9/8, -1, 0
Suppose -2*i**5 - 178*i**4/3 - 244*i**3 - 268*i**2 - 94*i/3 + 50 = 0. Calculate i.
-25, -3, -1, 1/3
Find n, given that -n**3 - 192*n**2 - 941*n - 1122 = 0.
-187, -3, -2
Factor 2*f**2 - 72*f - 74.
2*(f - 37)*(f + 1)
Solve -56*x**2/5 - 2*x/5 = 0 for x.
-1/28, 0
Factor 3*h**2/7 - 189*h.
3*h*(h - 441)/7
Factor -d**4/4 - 5*d**3/2 + d**2 + 77*d/2 - 147/4.
-(d - 3)*(d - 1)*(d + 7)**2/4
Find z such that -2*z**5/13 - 8*z**4/13 + 120*z**3/13 - 340*z**2/13 + 362*z/13 - 132/13 = 0.
-11, 1, 2, 3
Suppose 5*k**4 - 185*k**3 - 7035*k**2 - 45175*k + 52390 = 0. What is k?
-13, 1, 62
Factor 2*i**2/19 - 30*i/19 - 572/19.
2*(i - 26)*(i + 11)/19
Factor -4*a**4 - 64*a**3 - 192*a**2.
-4*a**2*(a + 4)*(a + 12)
Solve 64*a**5 + 160*a**4 - 668*a**3 + 620*a**2 - 196*a + 20 = 0 for a.
-5, 1/4, 1
Determine t so that -t**4/3 - 133*t**3/3 - 521*t**2/3 - 647*t/3 - 86 = 0.
-129, -2, -1
Suppose 4*r**3 - 252*r**2 - 256*r = 0. Calculate r.
-1, 0, 64
Factor -q**3/8 + 27*q**2/8 - 25*q + 75/2.
-(q - 15)*(q - 10)*(q - 2)/8
Factor -s**5 - 4*s**4 + 38*s**3 + 228*s**2 + 315*s.
-s*(s - 7)*(s + 3)**2*(s + 5)
Factor -5*x**5 + 45*x**4 + 305*x**3 + 595*x**2 + 480*x + 140.
-5*(x - 14)*(x + 1)**3*(x + 2)
Find h such that h**5 + 14*h**4 + 24*h**3 - 2*h**2 - 25*h - 12 = 0.
-12, -1, 1
Let 3*x**3 - 168*x**2 + 327*x - 162 = 0. What is x?
1, 54
Factor 5*n**2 + 20*n - 25.
5*(n - 1)*(n + 5)
Factor -2*y**2/11 - 6452*y/11.
-2*y*(y + 3226)/11
Factor 3*n**2 + 33438*n + 93174987.
3*(n + 5573)**2
Determine k, given that -10*k**5 - 156*k**4 + 84*k**3 + 5272*k**2 - 13002*k + 4356 = 0.
-11, 2/5, 3
Determine a, given that -10*a**2 + 10195*a/2 + 10215/2 = 0.
-1, 2043/4
Suppose -3*i**4 - 126*i**3 - 360*i**2 + 40800*i + 432000 = 0. Calculate i.
-20, 18
Factor 4*j**2/5 - 1402*j + 3504/5.
2*(j - 1752)*(2*j - 1)/5
Determine g so that g**4 - 10*g**3 + 36*g**2 - 54*g + 27 = 0.
1, 3
Let -3*y**4/7 + 51*y**3/7 - 99*y**2/7 - 699*y/7 - 78 = 0. Calculate y.
-2, -1, 7, 13
Factor -g**2/4 + 6*g - 32.
-(g - 16)*(g - 8)/4
Factor -2*h**2/11 - 34*h/11 - 84/11.
-2*(h + 3)*(h + 14)/11
Solve -5*w**4 - 5*w**3 + 50*w**2 - 40*w = 0 for w.
-4, 0, 1, 2
Find q such that 10*q**5 - 732*q**4 - 1354*q**3 + 300*q**2 = 0.
-2, 0, 1/5, 75
Factor 2*x**5/3 - 28*x**4/3 - 72*x**3 - 464*x**2/3 - 320*x/3.
2*x*(x - 20)*(x + 2)**3/3
Solve -5*f**3 - 655*f**2 - 650*f = 0.
-130, -1, 0
Factor 3*u**3 + 225*u**2 + 3897*u + 3675.
3*(u + 1)*(u + 25)*(u + 49)
Suppose -5*j**5 - 44*j**4 - 139*j**3/5 + 188*j**2/5 + 164*j/5 + 32/5 = 0. Calculate j.
-8, -1, -2/5, 1
Find c, given that -2*c**3/3 + 50*c**2/3 + 38*c - 54 = 0.
-3, 1, 27
Let -351*k**3 - 60*k**2 + 4*k = 0. Calculate k.
-2/9, 0, 2/39
Determine w so that -2*w**3/11 + 5*w**2/11 + 4*w/11 - 3/11 = 0.
-1, 1/2, 3
Let -n**4/3 + 7*n**3/3 + 7*n**2/3 - 55*n/3 + 14 = 0. Calculate n.
-3, 1, 2, 7
Factor l**2 - 1612*l - 1613.
(l - 1613)*(l + 1)
Factor -3*n**3 - 27*n**2 + 228*n + 252.
-3*(n - 6)*(n + 1)*(n + 14)
Factor j**2 - 6*j - 27.
(j - 9)*(j + 3)
Factor 2*m**2/3 - 64*m/3 + 62/3.
2*(m - 31)*(m - 1)/3
Solve -3*f**2/5 - 9*f + 102/5 = 0.
-17, 2
What is p in -9*p**5 + 1707*p**4 - 111483*p**3 + 2719197*p**2 - 14020728*p + 8171316 = 0?
2/3, 6, 61
Find j such that 5*j**4 - 10*j**3 - 80*j**2 + 10*j + 75 = 0.
-3, -1, 1, 5
Factor 2*b**3 + 308*b**2 - 1256*b + 1264.
2*(b - 2)**2*(b + 158)
Factor -m**3 - 3*m**2/4 + 25*m/4 - 3/2.
-(m - 2)*(m + 3)*(4*m - 1)/4
Factor 3*u**2 - 69*u - 72.
3*(u - 24)*(u + 1)
Factor -3*o**4 - 39*o**3 - 99*o**2 + 231*o + 294.
-3*(o - 2)*(o + 1)*(o + 7)**2
Factor -3*p**2 - 171*p - 1050.
-3*(p + 7)*(p + 50)
Suppose 15*u**2/4 + 69*u/8 + 9/4 = 0. Calculate u.
-2, -3/10
Factor -r**3/4 + 24*r**2 - 576*r.
-r*(r - 48)**2/4
Find x, given that 2*x**5 + 42*x**4 - 26*x**3 - 546*x**2 + 72*x + 1512 = 0.
-21, -3, -2, 2, 3
Let b**3/2 - 12*b**2 + 23*b/2 = 0. Calculate b.
0, 1, 23
Factor n**4/2 - 4*n**3 + n**2 + 16*n + 21/2.
(n - 7)*(n - 3)*(n + 1)**2/2
Find f, given that -f**5 + f**4 + 9*f**3 - f**2 - 20*f - 12 = 0.
-2, -1, 2, 3
Let -5*l**2 + 830*l - 2445 = 0. Calculate l.
3, 163
Solve x**2 - 44*x + 123 = 0.
3, 41
Determine t so that 4*t**4 - 40*t**3 + 116*t**2 - 80*t = 0.
0, 1, 4, 5
Factor -2*l**3/13 + 18*l**2/13 + 68*l/13 + 48/13.
-2*(l - 12)*(l + 1)*(l + 2)/13
What is h in 4*h**5 + 27*h**4 - 87*h**3 - 508*h**2 + 708*h - 144 = 0?
-6, 1/4, 1, 4
Let 1375*x**4/6 - 2725*x**3/6 + 295*x**2 - 230*x/3 + 20/3 = 0. Calculate x.
2/11, 2/5, 1
Factor 4*x**2 + 152*x - 156.
4*(x - 1)*(x + 39)
Factor 3*w**2 + 15*w - 42.
3*(w - 2)*(w + 7)
Find j, given that -j**4/4 + 9*j**3/2 - 55*j**2/4 - 9*j/2 + 14 = 0.
-1, 1, 4, 14
Factor -q**2 - 33*q - 32.
-(q + 1)*(q + 32)
Let 2*l**2 - 82*l + 80 = 0. Calculate l.
1, 40
Factor -t**5/3 + 452*t**4/3 - 51076*t**3/3.
-t**3*(t - 226)**2/3
Determine m so that 2*m**2/7 - 2*m/7 = 0.
0, 1
Factor 5*d**3 - 25*d**2 - 20*d + 100.
5*(d - 5)*(d - 2)*(d + 2)
Determine r, given that -r**4/6 - 11*r**3/6 - 15*r**2/2 - 27*r/2 - 9 = 0.
-3, -2
Factor 5*m**2 - 490*m - 4240.
5*(m - 106)*(m + 8)
Factor -y**3/7 + 4*y**2/7.
-y**2*(y - 4)/7
Determine w, given that -2*w**2/13 - 18*w/13 + 20/13 = 0.
-10, 1
Factor -l**2/2 - 2369*l/2 + 1185.
-(l - 1)*(l + 2370)/2
What is t in -2*t**4/13 - 4*t**3/13 + 10*t**2/13 + 12*t/13 = 0?
-3, -1, 0, 2
Let 4*d**5 - 72*d**4 + 408*d**3 - 976*d**2 + 996*d - 360 = 0. What is d?
1, 3, 10
Suppose 28*y**4 + 1252*y**3 - 360*y**2 = 0. What is y?
-45, 0, 2/7
Find o such that -2*o**5/5 + 3*o**4/5 + 117*o**3/5 + 163*o**2/5 - 3*o/5 - 54/5 = 0.
-6, -1, 1/2, 9
Let s**2/2 + 7*s + 13/2 = 0. Calculate s.
-13, -1
Suppose -3*s**4 + 34*s**3 + 124*s**2 - 1746*s + 567 = 0. What is s?
-7, 1/3, 9
Find b, given that b**4/5 + 11*b**3/5 - 5*b**2 + 13*b/5 = 0.
-13, 0, 1
Determine k, given that -3*k**4 - 1977*k**3 - 326691*k**2 - 320775*k + 649446 = 0.
-329, -2, 1
Find u such that -u**4/5 - 16*u**3/5 + 15*u**2 - 98*u/5 + 8 = 0.
-20, 1, 2
Factor 4*b**4/3 + 112*b**3/3 - 496*b**2/3 + 512*b/3.
4*b*(b - 2)**2*(b + 32)/3
Suppose 17*g**3/5 - 154*g**2/5 + 247*g/5 - 14/5 = 0. What is g?
1/17, 2, 7
Find w, given that -16*w**3 + 324*w**2 + 256*w - 84 = 0.
-1, 1/4, 21
Let -2*c**3 - 48*c**2 - 330*c - 484 = 0. What is c?
-11, -2
What is f in 7*f**4/4 + 31*f**3 + 167*f**2/4 - 197*f/2 + 24 = 0?
-16, -3, 2/7, 1
Factor 2*z**3 + 30*z**2 - 2*z - 30.
2*(z - 1)*(z + 1)*(z + 15)
Factor 5*f**5 - 10*f**4 + 10*f**2 - 5*f.
5*f*(f - 1)**3*(f + 1)
Find w, given that -2*w**5/11 + 56*w**4/11 - 266*w**3/11 - 1732*w**2/11 - 2432*w/11 - 1024/11 = 0.
-2, -1, 16
Factor q**3 - 5*q**2 - 48*q + 252.
(q - 6)**2*(q + 7)
Suppose -8*k**3 - 102*k**2 + 26*k = 0. Calculate k.
-13, 0, 1/4
Factor -a**2 - 37*a - 36.
-(a + 1)*(a + 36)
Let 2*t**5/5 + 76*t**4/5 + 278*t**3/5 + 196*t**2/5 - 56*t - 272/5 = 0. What is t?
-34, -2, -1, 1
Find d such that -d**3/7 + 9*d**2/7 = 0.
0, 9
Factor -2*j**4/3 + 26*j**3/3 - 20*j**2.
-2*j**