 374*w/13 + 108/13 = 0. Calculate w.
-2, -1, -1/2, 27
Factor -y**2/4 + 1589*y - 2524921.
-(y - 3178)**2/4
Determine t so that 9*t**4 - 113*t**3/2 - 13*t**2 + 162*t + 36 = 0.
-3/2, -2/9, 2, 6
Factor -3*y**3 - 72*y**2 + 156*y.
-3*y*(y - 2)*(y + 26)
Factor 2*t**3/19 + 26*t**2/19 + 112*t/19 + 160/19.
2*(t + 4)**2*(t + 5)/19
Let 3*b**2 - 27*b = 0. What is b?
0, 9
Factor -32*u**2 - 1044*u + 396.
-4*(u + 33)*(8*u - 3)
Factor -2*j**2 - 24*j - 54.
-2*(j + 3)*(j + 9)
Determine c, given that 6*c**5 + 32*c**4 + 158*c**3/3 + 104*c**2/3 + 8*c = 0.
-3, -1, -2/3, 0
Factor 5*f**3 + 150*f**2 - 4905*f + 4750.
5*(f - 19)*(f - 1)*(f + 50)
Solve 10*y**3/9 + 22*y**2/3 - 328*y/9 + 40/3 = 0.
-10, 2/5, 3
Solve -2*h**2/7 - 264*h/7 - 8712/7 = 0 for h.
-66
Factor -5*c**5 + 195*c**4 + 410*c**3 + 10*c**2 - 405*c - 205.
-5*(c - 41)*(c - 1)*(c + 1)**3
Factor v**4 + 457*v**3 + 910*v**2.
v**2*(v + 2)*(v + 455)
Factor -5*o**2/2 - 5*o.
-5*o*(o + 2)/2
Suppose x**3 - 7*x**2 - x + 7 = 0. Calculate x.
-1, 1, 7
Let -3*f**3/4 + 129*f**2/4 + 102*f + 69 = 0. What is f?
-2, -1, 46
Factor 150544*i**2 - 776*i/3 + 1/9.
(1164*i - 1)**2/9
Determine i so that -30*i**4 - 123*i**3 - 162*i**2 - 75*i - 6 = 0.
-2, -1, -1/10
Factor -5*t**3 + 40*t**2 + 5*t - 40.
-5*(t - 8)*(t - 1)*(t + 1)
Factor -3*j**3/2 - 57*j**2/2 - 27*j.
-3*j*(j + 1)*(j + 18)/2
What is d in 5*d**3 - 40*d**2 + 65*d - 30 = 0?
1, 6
Factor -5*j**3 + 200*j**2 - 465*j - 3330.
-5*(j - 37)*(j - 6)*(j + 3)
What is p in 2*p**2/11 - 252*p/11 - 254/11 = 0?
-1, 127
Suppose r**3/4 + 29*r**2 + 3477*r/4 + 3249/2 = 0. Calculate r.
-57, -2
Factor 2*s**2 - 90*s + 952.
2*(s - 28)*(s - 17)
Factor -2*s**2/15 + 52*s/15 + 18/5.
-2*(s - 27)*(s + 1)/15
Determine w, given that -504*w**4 + 1347*w**3 - 519*w**2 - 312*w - 12 = 0.
-2/7, -1/24, 1, 2
Find q such that -q**4/3 - 4*q**3/3 + 6*q**2 + 36*q + 45 = 0.
-3, 5
Factor 4*a**3 - 92*a**2 + 168*a.
4*a*(a - 21)*(a - 2)
Solve -2*c**2 - 6*c - 4 = 0.
-2, -1
Factor 15*x**2/2 - 35*x/2 + 5.
5*(x - 2)*(3*x - 1)/2
Factor 3*x**3 - 408*x**2 - 3*x + 408.
3*(x - 136)*(x - 1)*(x + 1)
Factor -7*a**4 - 698*a**3 - 1179*a**2 - 292*a + 196.
-(a + 1)**2*(a + 98)*(7*a - 2)
What is t in 2*t**5 + 16*t**4 + 36*t**3 + 32*t**2 + 10*t = 0?
-5, -1, 0
Solve -4*k**4 + 64*k**3 - 168*k**2 + 160*k - 52 = 0.
1, 13
Factor 5*n**3 + 1455*n**2 + 1440*n - 2900.
5*(n - 1)*(n + 2)*(n + 290)
Factor -2*p**2/7 + 2936*p/7 - 1077512/7.
-2*(p - 734)**2/7
Solve -w**4/2 - 37*w**3/2 + 60*w**2 - 2*w - 80 = 0.
-40, -1, 2
Determine j, given that -4*j**3 - 28*j**2 + 340*j + 364 = 0.
-13, -1, 7
Suppose 5*z**4 + 110*z**3 + 585*z**2 - 440*z - 2420 = 0. What is z?
-11, -2, 2
Determine s so that 2*s**4/3 - 22*s**2/3 + 12*s - 16/3 = 0.
-4, 1, 2
Factor -u**3/2 - 4*u**2 - 13*u/2 - 3.
-(u + 1)**2*(u + 6)/2
Find j such that 4*j**3 + 76*j**2 + 76*j - 1020 = 0.
-17, -5, 3
Factor 4*m**2 + 948*m + 944.
4*(m + 1)*(m + 236)
Factor -4*m**4 - 40*m**3 + 452*m**2 - 408*m.
-4*m*(m - 6)*(m - 1)*(m + 17)
Let 2*f**3/3 - 28*f**2/3 - 10*f = 0. Calculate f.
-1, 0, 15
Find m such that 1125*m**2 + 38100*m + 322580 = 0.
-254/15
Determine j, given that 4*j**5/9 - 8*j**4/9 - 8*j**3/9 + 16*j**2/9 + 4*j/9 - 8/9 = 0.
-1, 1, 2
Solve -2*c**4 - 38*c**3 - 200*c**2 - 408*c - 288 = 0.
-12, -3, -2
Factor q**4/6 - q**2/2 - q/3.
q*(q - 2)*(q + 1)**2/6
Suppose 2*r**3/3 + 56*r**2 + 54*r - 332/3 = 0. What is r?
-83, -2, 1
Determine l, given that 3*l**5 - 87*l**4 + 666*l**3 - 498*l**2 - 669*l + 585 = 0.
-1, 1, 13, 15
What is u in 2*u**3 - 38*u**2 + 230*u - 450 = 0?
5, 9
Find t, given that -3*t**3 + 1908*t**2 - 404496*t + 28584384 = 0.
212
Factor 5*p**4 + 180*p**3 + 1950*p**2 + 8500*p + 13125.
5*(p + 5)**3*(p + 21)
Factor 3*g**3 - 54*g**2 - 201*g + 252.
3*(g - 21)*(g - 1)*(g + 4)
Factor 23*x**2/3 + 256*x/3 + 11.
(x + 11)*(23*x + 3)/3
Let 2*s**3 + 58*s**2/5 - 304*s/5 - 352/5 = 0. What is s?
-44/5, -1, 4
Factor 4*a**2 - 76*a - 728.
4*(a - 26)*(a + 7)
Suppose -2*s**5/7 + 4*s**4/7 + 20*s**3/7 - 40*s**2/7 - 18*s/7 + 36/7 = 0. Calculate s.
-3, -1, 1, 2, 3
Find v such that 2*v**3/3 + 22*v**2/3 + 80*v/3 + 32 = 0.
-4, -3
Factor 2*t**3 - 21*t**2 + 45*t + 28.
(t - 7)*(t - 4)*(2*t + 1)
What is b in 3*b**5/5 - 21*b**3/5 - 18*b**2/5 = 0?
-2, -1, 0, 3
Solve 2*j**2/3 - 94*j/3 - 136 = 0 for j.
-4, 51
Factor -4*d**3 - 164*d**2 - 592*d.
-4*d*(d + 4)*(d + 37)
Suppose l**5/3 - 3*l**4 + 20*l**3/3 + 16*l**2/3 - 32*l + 80/3 = 0. Calculate l.
-2, 2, 5
Suppose -256*d**5 - 2288*d**4 - 1096*d**3 - 135*d**2 = 0. Calculate d.
-135/16, -1/4, 0
Determine v, given that 11*v**2/5 + 573*v/5 - 106 = 0.
-53, 10/11
Factor a**5/7 - 3*a**3/7 + 2*a**2/7.
a**2*(a - 1)**2*(a + 2)/7
Let -4*v**3 + 228*v**2 + 16*v - 912 = 0. What is v?
-2, 2, 57
Factor -2*v**4 + 90*v**3 - 1350*v**2 + 6750*v.
-2*v*(v - 15)**3
Determine g so that g**4/2 - 69*g**3/2 - 517*g**2/2 - 1131*g/2 - 342 = 0.
-3, -1, 76
Factor -2*w**3/5 - 2*w**2 - 12*w/5.
-2*w*(w + 2)*(w + 3)/5
Factor z**3/5 - 132*z**2/5 + 2133*z/5 - 9234/5.
(z - 114)*(z - 9)**2/5
Factor a**3 - 10*a**2 - a + 10.
(a - 10)*(a - 1)*(a + 1)
Factor -o**2 - 1722*o - 741321.
-(o + 861)**2
Find m, given that -2*m**2 + 296*m - 10952 = 0.
74
Let -10*d**3 + 28*d**2 + 14*d - 24 = 0. Calculate d.
-1, 4/5, 3
Factor -3*b**2/7 - 1668*b/7.
-3*b*(b + 556)/7
What is b in 3*b**2/8 - 81*b/8 + 39/4 = 0?
1, 26
Find x, given that x**4 - 716*x**3 = 0.
0, 716
Factor -m**4/5 + 9*m**2/5 + 4*m/5 - 12/5.
-(m - 3)*(m - 1)*(m + 2)**2/5
Find j, given that 27*j**5 - 708*j**4 + 2667*j**3 - 3582*j**2 + 1860*j - 264 = 0.
2/9, 1, 2, 22
Let -p**4/4 + p**3/4 + 3*p**2/2 = 0. Calculate p.
-2, 0, 3
Solve -6*c**5/5 + 213*c**4/5 - 1044*c**3/5 + 1632*c**2/5 - 336*c/5 - 144 = 0.
-1/2, 2, 30
Let g**4/2 - 8*g**3 + 69*g**2/2 - 47*g + 20 = 0. Calculate g.
1, 4, 10
Factor 4*s**3/5 + 12*s**2/5 - 52*s/5 - 12.
4*(s - 3)*(s + 1)*(s + 5)/5
Find a, given that 2*a**4 + 6*a**3 + 2*a**2 - 6*a - 4 = 0.
-2, -1, 1
Suppose -5*k**5 + 40*k**4 + 155*k**3 + 110*k**2 = 0. Calculate k.
-2, -1, 0, 11
Factor 4*w**2 + 1128*w - 1132.
4*(w - 1)*(w + 283)
Solve -4*m**3 + 2184*m**2 + 4380*m + 2192 = 0 for m.
-1, 548
Factor a**2 + 33*a + 182.
(a + 7)*(a + 26)
Factor 5*l**4 + 45*l**3 - 240*l**2 + 260*l.
5*l*(l - 2)**2*(l + 13)
Factor 2*w**2/5 + 28*w/5 + 98/5.
2*(w + 7)**2/5
Suppose 4*b**5/5 - 64*b**4/5 + 8*b**3 + 288*b**2/5 + 36*b = 0. What is b?
-1, 0, 3, 15
Solve 4*h**4 - 8832*h**3 + 8824*h**2 + 8832*h - 8828 = 0.
-1, 1, 2207
Suppose 3*w**4 - 54*w**3 + 243*w**2 - 324*w = 0. What is w?
0, 3, 12
Suppose -24*o**5 + 490*o**4 - 7796*o**3/3 + 2918*o**2/3 + 440*o/3 - 200/3 = 0. What is o?
-1/4, 1/3, 10
Factor -2*o**3 + 68*o**2 + 562*o + 492.
-2*(o - 41)*(o + 1)*(o + 6)
Suppose 4*z**2/5 + 16*z/5 - 4 = 0. What is z?
-5, 1
Suppose -5*j**3 + 15*j**2 - 15*j + 5 = 0. What is j?
1
Factor -3*b**2/2 + 414*b - 28566.
-3*(b - 138)**2/2
Find u, given that 5*u**2 + 340*u + 1280 = 0.
-64, -4
Solve -m**2 - 157*m + 158 = 0 for m.
-158, 1
Find f, given that 6591*f**4 - 8112*f**3 + 1638*f**2 - 120*f + 3 = 0.
1/13, 1
Determine v so that 12*v**3/5 + 2*v**2 - 108*v/5 - 18 = 0.
-3, -5/6, 3
Suppose -5*o**3 - 29*o**2 - 20*o = 0. What is o?
-5, -4/5, 0
Factor -1225*g**3/4 - 6055*g**2/2 + 349*g - 10.
-(g + 10)*(35*g - 2)**2/4
Determine r, given that -4*r**2 + 872*r + 18012 = 0.
-19, 237
Find t such that 2*t**2/5 + 302*t/5 - 612/5 = 0.
-153, 2
Find o, given that 3*o**3 + 4497*o**2 + 1683000*o - 1687500 = 0.
-750, 1
Factor x**3 + 4*x**2 + 5*x + 2.
(x + 1)**2*(x + 2)
Determine f, given that -180*f**3 + 5820*f**2 - 47045*f = 0.
0, 97/6
Factor -3*b**3/5 + 51*b**2/5.
-3*b**2*(b - 17)/5
Factor 3*w**5 + 837*w**4 + 57960*w**3 - 58800*w**2.
3*w**2*(w - 1)*(w + 140)**2
Factor -3*i**2 - 3*i + 60.
-3*(i - 4)*(i + 5)
Factor 9*s**3 - 807*s**2 + 17955*s + 6075.
3*(s - 45)**2*(3*s + 1)
Factor -2*o**2/5 - 296*o/5 - 10952/5.
-2*(o + 74)**2/5
Find m such that m**3 + 894*m**2 = 0.
-894, 0
Find q such that 3*q**5/2 + 72*q**4 + 1023*q**3/2 + 1293*q**2 + 1332*q + 480 = 0.
-40, -4, -2, -1
Let b**2 - 14*b + 45 = 0. Calculate b.
5, 9
Factor -2*c**5 - 168*c**4 - 4528*c**3 - 33988*c**2 + 136242*c - 97556.
-2*(c - 2)*(c - 1)*(c + 29)**3
Factor -x**3/8 - 83*x**2/8 - 233*x/2 - 385/2.
-(x + 2)*(x + 11)*(x + 70)/8
Factor -36*r**2 - 980*r - 216.
-4*(r + 27)*(9*r + 2)
Factor -5*g**3/2 - 7305*g**2/2 - 3557535*g/2 - 577506515/2.
-5*(g + 487)**3/2
Factor -2*r**