Solve h**3/7 + 151*h**2/7 + 5624*h/7 - 5776/7 = 0.
-76, 1
Factor -729*i**5 - 2430*i**4 + 5481*i**3 - 2854*i**2 + 572*i - 40.
-(i - 1)*(i + 5)*(9*i - 2)**3
Factor d**2 - 5*d + 6.
(d - 3)*(d - 2)
Let -2*o**2/13 + 1642*o/13 - 252 = 0. Calculate o.
2, 819
Factor 6*v**4 - 86*v**3 + 226*v**2 - 66*v.
2*v*(v - 11)*(v - 3)*(3*v - 1)
Factor 2*y**2 + 92*y + 176.
2*(y + 2)*(y + 44)
Suppose 10*i**4 + 256*i**3 - 104*i**2 = 0. What is i?
-26, 0, 2/5
Factor 2*p**2/5 - 16*p/5 + 24/5.
2*(p - 6)*(p - 2)/5
Factor 20*r**3 - 1625*r**2 + 2005*r - 400.
5*(r - 80)*(r - 1)*(4*r - 1)
Determine b so that -2*b**4/7 + 2110*b**3/21 - 187246*b**2/21 + 43550*b/3 + 17500/3 = 0.
-1/3, 2, 175
Solve 3*o**3 + 2*o**2 = 0 for o.
-2/3, 0
Factor 5*t**3 + 75*t**2.
5*t**2*(t + 15)
Solve s**5 + 19*s**4 + 99*s**3 + 81*s**2 = 0.
-9, -1, 0
Factor -c**2 + 1372*c - 470596.
-(c - 686)**2
Suppose 4*j**5/3 - 8*j**4/3 = 0. What is j?
0, 2
Factor c**2/3 + 142*c/3 - 143/3.
(c - 1)*(c + 143)/3
Suppose -2*p**4/7 - 16*p**3/7 - 36*p**2/7 + 54/7 = 0. What is p?
-3, 1
Suppose -2*u**2/15 + 4*u + 902/15 = 0. Calculate u.
-11, 41
Factor 2*k**3 - 4*k**2 - 16*k.
2*k*(k - 4)*(k + 2)
Determine n, given that 2*n**3 + 36*n**2 + 174*n + 140 = 0.
-10, -7, -1
Solve -3*b**5 - 87*b**4 + 291*b**3 + 87*b**2 - 288*b = 0.
-32, -1, 0, 1, 3
Solve 14*k**3/9 - 20*k**2/3 - 1622*k/9 + 52 = 0 for k.
-9, 2/7, 13
Determine m so that -2*m**4/5 - 32*m**3/5 + 8*m**2/5 + 128*m/5 = 0.
-16, -2, 0, 2
Factor 3*f**2 - 36*f + 33.
3*(f - 11)*(f - 1)
Determine j so that -12*j**5 - 51*j**4 + 24*j**3 + 225*j**2 + 54*j = 0.
-3, -1/4, 0, 2
Let 5*w**3 - 7320*w**2 + 2679120*w = 0. Calculate w.
0, 732
Factor a**2/3 - 22*a/3 - 104/3.
(a - 26)*(a + 4)/3
Solve -2*b**3/5 + 86*b**2/5 + 572*b/5 + 784/5 = 0 for b.
-4, -2, 49
Determine h, given that 12*h**4 + 32*h**3 + 12*h**2 - 8*h = 0.
-2, -1, 0, 1/3
Find k, given that 2*k**3 - 10*k**2 - 28*k = 0.
-2, 0, 7
Find d such that -d**5/2 + d**4/2 + 3*d**3/2 - d**2/2 - d = 0.
-1, 0, 1, 2
Determine a, given that -3*a**3 - 573*a**2 - 2772*a + 3348 = 0.
-186, -6, 1
Factor -20*s**2 + 2392*s - 4704.
-4*(s - 2)*(5*s - 588)
What is z in 5*z**3 + 145*z**2 + 715*z + 575 = 0?
-23, -5, -1
Solve -2*l**4 - 708*l**3 - 60466*l**2 + 393840*l + 453600 = 0 for l.
-180, -1, 7
Let 3*m**5/2 - 207*m**4/2 + 585*m**3 - 1149*m**2 + 1899*m/2 - 567/2 = 0. Calculate m.
1, 3, 63
Suppose -2*r**5/7 - 2*r**4/7 + 18*r**3/7 + 26*r**2/7 - 16*r/7 - 24/7 = 0. What is r?
-2, -1, 1, 3
What is x in 2*x**3/5 - 4*x**2/5 - 78*x/5 - 144/5 = 0?
-3, 8
Factor -11449*l**5/7 - 45368*l**4/7 + 244*l**3 - 16*l**2/7.
-l**2*(l + 4)*(107*l - 2)**2/7
Factor 4*n**4 - 1064*n**3 + 69680*n**2 + 143648*n.
4*n*(n - 134)**2*(n + 2)
Factor -s**5 + 6*s**4 + 7*s**3.
-s**3*(s - 7)*(s + 1)
Determine z, given that 135*z**4 + 800*z**3 + 1020*z**2 - 80*z = 0.
-4, -2, 0, 2/27
Solve 5*x**2 + 48350*x + 116886125 = 0 for x.
-4835
Factor d**4 - 16*d**3 + 77*d**2 - 98*d.
d*(d - 7)**2*(d - 2)
Solve o**2 + 18*o + 80 = 0.
-10, -8
Factor -4*g**2 + 4296*g - 1153476.
-4*(g - 537)**2
Determine b, given that 4*b**2/5 - 44*b - 224/5 = 0.
-1, 56
Factor 2*o**2/11 - 10936*o/11 + 14949512/11.
2*(o - 2734)**2/11
Determine y, given that y**3/3 + 7*y**2/3 - 85*y/3 - 91/3 = 0.
-13, -1, 7
Solve 5*l**3 + 5*l**2 = 0 for l.
-1, 0
Find q, given that q**2/8 - 53*q/2 - 213/8 = 0.
-1, 213
Suppose 5*l**2/4 + 50*l + 500 = 0. What is l?
-20
Factor 4*o**2 - 26*o + 36.
2*(o - 2)*(2*o - 9)
What is k in 2*k**4/7 + 2*k**3/7 - 8*k**2/7 - 8*k/7 = 0?
-2, -1, 0, 2
Solve -2*c**3/5 + 2*c**2/5 = 0 for c.
0, 1
Factor -2*r**2/7 - 82*r/7 - 156/7.
-2*(r + 2)*(r + 39)/7
Find o such that 2*o**2/5 - 6*o/5 + 4/5 = 0.
1, 2
Factor -4*o**4 - 16*o**3 + 168*o**2 + 880*o + 700.
-4*(o - 7)*(o + 1)*(o + 5)**2
Factor 3*p**3/2 + 6*p**2 - 21*p/2 - 15.
3*(p - 2)*(p + 1)*(p + 5)/2
Factor x**3/4 + 5*x**2 + 17*x + 16.
(x + 2)**2*(x + 16)/4
Solve 10*o**2/3 - 56*o/3 - 152/3 = 0 for o.
-2, 38/5
Factor -3*w**2 - 189*w - 366.
-3*(w + 2)*(w + 61)
Find q such that 4*q**5 + 100*q**4 + 548*q**3 + 812*q**2 + 360*q = 0.
-18, -5, -1, 0
Solve -25*a**5/3 - 10*a**4 + 20*a**3/3 + 10*a**2 + 5*a/3 = 0 for a.
-1, -1/5, 0, 1
Determine p, given that -5*p**3/2 + 79*p**2/2 + 98*p + 18 = 0.
-2, -1/5, 18
Factor 3*n**2 + 912*n + 2709.
3*(n + 3)*(n + 301)
Determine o, given that 25*o**4/2 - 35*o**3 - 291*o**2/2 + 8*o + 160 = 0.
-8/5, 1, 5
Solve -110*v**4/3 + 1025*v**3/3 + 740*v**2/3 + 100*v/3 = 0.
-1/2, -2/11, 0, 10
Suppose -2*v**5/9 - 224*v**4/9 + 692*v**3/9 + 224*v**2/9 - 230*v/3 = 0. What is v?
-115, -1, 0, 1, 3
Factor -2*x**2 + 72*x.
-2*x*(x - 36)
Factor -z**5/3 + 5*z**4/3 - 3*z**3 + 7*z**2/3 - 2*z/3.
-z*(z - 2)*(z - 1)**3/3
Factor 108*p**3 - 3492*p**2 + 1155*p - 96.
3*(p - 32)*(6*p - 1)**2
Let 2*f**2/7 - 314*f/7 + 1812/7 = 0. What is f?
6, 151
Let 36*g**5 - 255*g**4 + 231*g**3/2 + 1365*g**2/2 + 186*g - 90 = 0. Calculate g.
-1, -2/3, 1/4, 5/2, 6
Determine u so that -u**5/8 + 69*u**4/8 - 1289*u**3/8 + 3399*u**2/8 - 1089*u/4 = 0.
0, 1, 2, 33
Factor -5*m**2 - 1440*m + 2900.
-5*(m - 2)*(m + 290)
Find a such that -a**2 - 441*a - 440 = 0.
-440, -1
Let 12*g**3 + 244*g**2 - 1120*g + 1168 = 0. What is g?
-73/3, 2
Suppose -5*c**2 - 320*c - 315 = 0. What is c?
-63, -1
Factor 3*y**4/5 - 9*y**3/5 - 27*y**2/5 + 81*y/5.
3*y*(y - 3)**2*(y + 3)/5
Suppose 14450*g**4/9 - 61880*g**3/3 + 517352*g**2/9 + 168896*g/3 + 107648/9 = 0. What is g?
-2/5, 116/17
Let -52*x**3 + 8*x**2 + 52*x - 8 = 0. Calculate x.
-1, 2/13, 1
Suppose -12*k**5/7 - 68*k**4/7 - 24*k**3/7 + 88*k**2/7 + 36*k/7 - 20/7 = 0. Calculate k.
-5, -1, 1/3, 1
Let -i**3 + 76*i**2 = 0. What is i?
0, 76
Factor -2*y**3/9 + 4*y**2/9 + 2*y - 4.
-2*(y - 3)*(y - 2)*(y + 3)/9
Factor -2*v**3 - 570*v**2 - 41454*v - 119286.
-2*(v + 3)*(v + 141)**2
Factor -2*o**2/9 + 8*o/9 + 8/3.
-2*(o - 6)*(o + 2)/9
Factor -5*q**3 + 25*q**2 + 120*q.
-5*q*(q - 8)*(q + 3)
Factor 3*s**3/2 - 87*s**2/2 + 336*s - 294.
3*(s - 14)**2*(s - 1)/2
Suppose q**3 + 2*q**2 - 65*q + 150 = 0. Calculate q.
-10, 3, 5
Find b such that -4*b**3/7 - 60*b**2/7 + 16*b/7 + 240/7 = 0.
-15, -2, 2
Let 18*p**5/5 - 456*p**4/5 - 1338*p**3/5 - 216*p**2/5 + 264*p + 672/5 = 0. Calculate p.
-2, -1, -2/3, 1, 28
Solve 3*n**2 + 3*n - 6 = 0 for n.
-2, 1
Let -3*z**3/2 + 90*z**2 + 3*z/2 - 90 = 0. Calculate z.
-1, 1, 60
Solve 44*b**2/9 - 6*b + 10/9 = 0.
5/22, 1
Solve 3*n**4 + 24*n**3 - 99*n**2 = 0 for n.
-11, 0, 3
Factor 12*i**2/5 + 88*i/5 + 28/5.
4*(i + 7)*(3*i + 1)/5
Solve -5*m**2/4 - 50*m - 180 = 0.
-36, -4
Factor -2*w**2/11 + 1124*w/11 - 157922/11.
-2*(w - 281)**2/11
Factor 2*u**3 + 10728*u**2 + 19181664*u + 11432271744.
2*(u + 1788)**3
Determine o, given that 7*o**3/6 + 379*o**2/6 - 365*o/3 - 56/3 = 0.
-56, -1/7, 2
Factor 44*w**2/7 - 380*w/7 + 72.
4*(w - 7)*(11*w - 18)/7
Let -3*j**3 - 229*j**2 - 301*j - 75 = 0. Calculate j.
-75, -1, -1/3
Determine c, given that -c**2/7 + 58*c/7 - 57/7 = 0.
1, 57
Find n, given that -5*n**5 + 25*n**4 + 85*n**3 - 245*n**2 - 800*n - 500 = 0.
-2, -1, 5
Factor -3*x**3/5 + 48*x**2/5 - 39*x + 30.
-3*(x - 10)*(x - 5)*(x - 1)/5
Suppose -338*l**2 - 3536*l - 9248 = 0. What is l?
-68/13
Factor 6*q**4 + 33*q**3 + 63*q**2 + 48*q + 12.
3*(q + 1)*(q + 2)**2*(2*q + 1)
Suppose 3*r**4/5 + 6387*r**3/5 + 19143*r**2/5 + 19137*r/5 + 6378/5 = 0. Calculate r.
-2126, -1
Factor 8*s**2 + 180*s - 500.
4*(s + 25)*(2*s - 5)
Factor -4*x**3 - 120*x**2 - 252*x + 1944.
-4*(x - 3)*(x + 6)*(x + 27)
What is c in 5*c**3/3 + 115*c**2 + 2740*c/3 + 800 = 0?
-60, -8, -1
Determine f, given that -3*f**5 - 29*f**4/3 - 8*f**3 - 4*f**2/3 = 0.
-2, -1, -2/9, 0
Factor 45*v**2 + 620*v - 140.
5*(v + 14)*(9*v - 2)
Factor -3*x**3/8 - 579*x**2/8 - 27645*x/8 + 28227/8.
-3*(x - 1)*(x + 97)**2/8
Solve 4*z**2 - 692*z + 2704 = 0.
4, 169
What is i in 2*i**3/9 - 2*i**2/3 - 56*i/9 = 0?
-4, 0, 7
What is s in 35*s**5 - 360*s**4 + 1195*s**3 - 1190*s**2 - 480*s + 800 = 0?
-5/7, 1, 2, 4
Factor 2*y**3/7 - 48*y**2/7 + 234*y/7 + 676/7.
2*(y - 13)**2*(y + 2)/7
Factor 44*s**3 + 476*s**2 - 616*s + 96.
4*(s - 1)*(s + 12)*(11*s - 2)
What is o in -2*o**5 - 197*o**4 - 5084*o**3 - 11133*o**2 + 9504*o + 6912 = 0?
-48, -3, -1/2, 1
Factor -4*n**3 - 64*n**2 + 140*n - 72.
-4*(n - 1)**2*(n + 18)
Determine u so that 3*u**3 + 717*u**2 - 726*u - 1440 = 0.
-240, -1, 2
Determine d, given that -10*d**5 + 36*d**4 + 26*d**3 - 36*d**2 - 16*d = 0.
-1, -2/5, 0