-3*o**2 + 1554*o - 201243 = 0.
259
Factor 5*f**5 + 20*f**4 + 15*f**3 - 20*f**2 - 20*f.
5*f*(f - 1)*(f + 1)*(f + 2)**2
Determine o so that 12*o**5 - 124*o**4 - 248*o**3 + 96*o**2 = 0.
-2, 0, 1/3, 12
Factor 314*h**2 - 626*h - 4.
2*(h - 2)*(157*h + 1)
Factor -3*c**2 + 1755*c.
-3*c*(c - 585)
Solve 5*p**4 + 230*p**3 + 3245*p**2 + 13800*p + 18000 = 0 for p.
-20, -3
Factor -5*r**2 - 60*r.
-5*r*(r + 12)
Factor -2*f**3 + 2*f**2 + 4*f.
-2*f*(f - 2)*(f + 1)
Factor -4*p**4/3 - 352*p**3/3 - 3872*p**2 - 170368*p/3 - 937024/3.
-4*(p + 22)**4/3
Suppose 4*x**4 + 20*x**3 + 12*x**2 - 20*x - 16 = 0. Calculate x.
-4, -1, 1
Factor 2*q**4/3 + 104*q**3/3 + 184*q**2/3 - 800*q/3.
2*q*(q - 2)*(q + 4)*(q + 50)/3
Find b such that -2*b**2/15 + 3568*b/15 - 1591328/15 = 0.
892
Let 2*i**5/23 - 20*i**3/23 + 40*i**2/23 - 30*i/23 + 8/23 = 0. What is i?
-4, 1
Factor -92*v**2 - 8*v.
-4*v*(23*v + 2)
What is c in -c**3 - 51*c**2 + 105*c - 53 = 0?
-53, 1
Suppose -3*h**2/2 + 54*h + 114 = 0. What is h?
-2, 38
Factor 4*n**4 + 216*n**3 + 3808*n**2 + 20520*n - 24548.
4*(n - 1)*(n + 17)*(n + 19)**2
Solve 2*y**3/11 + 11448*y**2/11 + 21842784*y/11 + 13892010624/11 = 0.
-1908
Let h**2/3 - 32*h/3 - 48 = 0. Calculate h.
-4, 36
Let 4*g**2 + 444*g + 5096 = 0. What is g?
-98, -13
Factor 24*b**5 + 5772*b**4 + 342690*b**3 - 522723*b**2 + 262812*b - 43923.
3*(b + 121)**2*(2*b - 1)**3
Factor -3*j**2/7 + 90*j.
-3*j*(j - 210)/7
Let -4*g**3 - 100*g**2 = 0. Calculate g.
-25, 0
Factor p**2/3 - 25*p/3.
p*(p - 25)/3
What is w in w**2/5 - 58*w/5 = 0?
0, 58
Find b, given that -b**5 + 4*b**4 - 2*b**3 - 4*b**2 + 3*b = 0.
-1, 0, 1, 3
Factor 3*f**3/5 - 36*f**2 + 177*f/5.
3*f*(f - 59)*(f - 1)/5
Solve 3*d**2/4 - 33*d/4 + 21 = 0 for d.
4, 7
Factor -k**4 - 36*k**3 - 211*k**2 - 216*k + 464.
-(k - 1)*(k + 4)**2*(k + 29)
Factor q**3/7 - 3*q**2 + 135*q/7 - 243/7.
(q - 9)**2*(q - 3)/7
Factor -2*m**3/3 + 2314*m**2/3 - 222722*m - 223494.
-2*(m - 579)**2*(m + 1)/3
Factor h**2/3 + 2224*h/3 + 1236544/3.
(h + 1112)**2/3
Factor -g**2/3 - 451*g/3 - 898/3.
-(g + 2)*(g + 449)/3
Factor -v**4 + 8*v**3 - 19*v**2 + 12*v.
-v*(v - 4)*(v - 3)*(v - 1)
Factor z**5/2 - 55*z**4/2 + 107*z**3/2 - 53*z**2/2.
z**2*(z - 53)*(z - 1)**2/2
Determine a so that -2*a**5 + 28*a**4 - 114*a**3 + 152*a**2 - 64*a = 0.
0, 1, 4, 8
Factor 2*u**2/5 - 144*u/5 - 1106/5.
2*(u - 79)*(u + 7)/5
Find q such that -q**2 + 14*q + 32 = 0.
-2, 16
Factor 4*g**3/5 - 32*g**2/5 + 84*g/5 - 72/5.
4*(g - 3)**2*(g - 2)/5
Factor -12*m**2 - 2295*m - 573.
-3*(m + 191)*(4*m + 1)
Suppose 5*c**2 - 95*c - 210 = 0. What is c?
-2, 21
Let n**3 - 49*n**2 + 91*n + 141 = 0. Calculate n.
-1, 3, 47
Factor -4*u**4 + 88*u**3 - 84*u**2.
-4*u**2*(u - 21)*(u - 1)
Find x such that -5*x**3 + 235*x**2 + 1550*x + 2120 = 0.
-4, -2, 53
Find h, given that -2*h**4/3 - 40*h**3/3 - 44*h**2/3 + 520*h - 1014 = 0.
-13, 3
What is d in -15*d**4 - 39*d**3 + 342*d**2/5 + 108*d - 648/5 = 0?
-3, -2, 6/5
Factor 5*i**5 - 420*i**4 + 11760*i**3 - 109760*i**2.
5*i**2*(i - 28)**3
Determine h, given that -2*h**5 - 12*h**4/7 + 30*h**3/7 - 4*h**2/7 = 0.
-2, 0, 1/7, 1
Let -2*s**5 - 20*s**4 - 72*s**3 - 112*s**2 - 64*s = 0. What is s?
-4, -2, 0
What is u in u**3/7 + 1599*u**2/7 - 3201*u/7 + 1601/7 = 0?
-1601, 1
Let 2*j**2 + 18*j - 72 = 0. What is j?
-12, 3
Suppose k**5/5 + 6*k**4/5 + 13*k**3/5 + 12*k**2/5 + 4*k/5 = 0. What is k?
-2, -1, 0
Factor 2*d**4 + 114*d**3 + 2142*d**2 + 13294*d.
2*d*(d + 17)**2*(d + 23)
Solve -116*o**3/3 + 1498*o**2/3 + 130*o/3 = 0 for o.
-5/58, 0, 13
Let 5*j**2 - 35*j = 0. What is j?
0, 7
Find x, given that 14*x**4/15 + 2*x**3 - 12*x**2/5 = 0.
-3, 0, 6/7
Find z, given that -3*z**4 + 12*z**3 + 45*z**2 - 54*z = 0.
-3, 0, 1, 6
Determine r so that 3*r**3 + 600*r**2 - 3*r - 600 = 0.
-200, -1, 1
Suppose -3*g**4/4 + 75*g**3 - 297*g**2/4 = 0. Calculate g.
0, 1, 99
Suppose 2*j**4/7 - 10*j**3/7 + 4*j**2/7 + 16*j/7 = 0. What is j?
-1, 0, 2, 4
Factor t**5 - 37*t**4 + 70*t**3 + 2*t**2 - 71*t + 35.
(t - 35)*(t - 1)**3*(t + 1)
Determine f, given that -5*f**3 + 300*f**2 - 4185*f - 9610 = 0.
-2, 31
Factor 2*r**2/7 + 58*r/7 + 396/7.
2*(r + 11)*(r + 18)/7
Suppose a**3/4 - 11*a**2/4 - 13*a/2 = 0. Calculate a.
-2, 0, 13
Determine w so that -2*w**4/11 - 18*w**3/11 + 54*w**2/11 + 98*w/11 - 12 = 0.
-11, -2, 1, 3
Factor -s**4/3 + 233*s**3 + 4225*s**2/3 + 1175*s.
-s*(s - 705)*(s + 1)*(s + 5)/3
Factor 3*v**4/2 + 21*v**3/2 - 3*v**2 - 90*v - 108.
3*(v - 3)*(v + 2)**2*(v + 6)/2
Factor 5*r**2 - 55*r + 50.
5*(r - 10)*(r - 1)
Factor -2*w**2/9 - 326*w/3.
-2*w*(w + 489)/9
Factor -2*p**3/9 - 2*p**2 + 194*p/9 + 70/3.
-2*(p - 7)*(p + 1)*(p + 15)/9
Factor c**4/8 + c**3/8.
c**3*(c + 1)/8
Factor 5*u**4 - 60*u**3 + 240*u**2 - 400*u + 240.
5*(u - 6)*(u - 2)**3
Factor 25*d**4 + 20*d**3 - 55*d**2 + 10*d.
5*d*(d - 1)*(d + 2)*(5*d - 1)
Determine s so that -2*s**5/5 + 28*s**4/5 - 18*s**3 + 104*s**2/5 - 8*s = 0.
0, 1, 2, 10
What is x in -x**3 - 23*x**2 - 94*x - 72 = 0?
-18, -4, -1
Solve -2*z**2 - 7540*z - 7106450 = 0.
-1885
Factor c**2/2 - 17*c/2 - 84.
(c - 24)*(c + 7)/2
Determine j so that -18*j**3/7 + 150*j**2/7 - 416*j/7 + 384/7 = 0.
8/3, 3
Find d such that -d**5/9 + 14*d**4/3 - 155*d**3/9 + 38*d**2/3 = 0.
0, 1, 3, 38
Solve 5*l**3 + 365*l**2 + 1975*l - 2345 = 0.
-67, -7, 1
Suppose 3*c**5 - 23*c**4 + 65*c**3 - 85*c**2 + 52*c - 12 = 0. What is c?
2/3, 1, 2, 3
Factor h**2 - 64*h - 345.
(h - 69)*(h + 5)
Determine x so that -3*x**2 - 54*x - 51 = 0.
-17, -1
What is g in -45*g**5/4 - 59907*g**4/4 - 15945*g**3/4 + 35931*g**2/4 - 3993*g/2 = 0?
-1331, -1, 0, 1/3, 2/5
Factor -2*a**2/7 + 24*a/7 - 64/7.
-2*(a - 8)*(a - 4)/7
Find i such that -i**5/10 + 3*i**4/10 = 0.
0, 3
Let -2*v**2/13 - 144*v/13 + 296/13 = 0. What is v?
-74, 2
Solve 2*s**2 - 448*s = 0.
0, 224
What is k in k**2 - 102*k + 485 = 0?
5, 97
Suppose -v**3 - 350*v**2 - 31313*v - 119716 = 0. What is v?
-173, -4
Solve -225*p**4/2 + 420*p**3 + 118*p**2 + 8*p = 0.
-2/15, 0, 4
Factor 16*d**4 + 4*d**3 - 16*d**2 - 4*d.
4*d*(d - 1)*(d + 1)*(4*d + 1)
Find o, given that -5*o**3 - 15*o**2 = 0.
-3, 0
Factor -2*k**2/5 + 72*k - 358/5.
-2*(k - 179)*(k - 1)/5
Factor -2*v**3/17 + 48*v**2/17 - 150*v/17 - 200/17.
-2*(v - 20)*(v - 5)*(v + 1)/17
Find r such that r**5 + 8*r**4 + 18*r**3 + 16*r**2 + 5*r = 0.
-5, -1, 0
Find d, given that 50*d**5 + 555*d**4 + 1455*d**3 + 140*d**2 = 0.
-7, -4, -1/10, 0
Solve c**3/4 - 39*c**2 - 159*c - 160 = 0.
-2, 160
Factor -o**5 + 25*o**4 - 216*o**3 + 704*o**2 - 512*o.
-o*(o - 8)**3*(o - 1)
Factor -m**2/5 - 2406*m/5 + 2407/5.
-(m - 1)*(m + 2407)/5
Solve -128*k**5 + 80*k**4 + 599*k**3/2 + 201*k**2/2 + 9*k = 0.
-1, -3/16, 0, 2
Suppose -2*c**2/9 - 5128*c/9 - 3287048/9 = 0. Calculate c.
-1282
Suppose -75*n**2/8 + 531*n/8 - 21/4 = 0. Calculate n.
2/25, 7
Let -4*t**3 + 4*t**2 = 0. What is t?
0, 1
Solve -4*z**4 - 28*z**3 + 28*z**2 + 172*z - 168 = 0 for z.
-7, -3, 1, 2
Let -2*x**5/11 - 32*x**4/11 - 58*x**3/11 - 28*x**2/11 = 0. Calculate x.
-14, -1, 0
Factor 3*p**2/5 - 9*p + 30.
3*(p - 10)*(p - 5)/5
Find t such that t**4/4 - 8*t**3 - 105*t**2/4 - t + 35 = 0.
-2, 1, 35
Factor 3*p**3/5 + 99*p**2 + 5445*p + 99825.
3*(p + 55)**3/5
What is o in o**3 + 5*o**2 + 8*o + 4 = 0?
-2, -1
Factor -k**4/2 + 14*k**3 - 115*k**2 + 238*k + 735/2.
-(k - 15)*(k - 7)**2*(k + 1)/2
Factor 5*k**4/4 - 5*k**3 - 5*k**2/4 + 5*k.
5*k*(k - 4)*(k - 1)*(k + 1)/4
Determine t, given that 2*t**3/9 + 190*t**2/9 + 4606*t/9 + 4418/9 = 0.
-47, -1
Solve 2*j**3/5 + 52*j**2/5 - 702*j/5 + 648/5 = 0.
-36, 1, 9
Factor -348100*h**2 + 7080*h - 36.
-4*(295*h - 3)**2
Determine d so that 2*d**5/5 + 16*d**4/5 - 12*d**3 + 64*d**2/5 - 22*d/5 = 0.
-11, 0, 1
Let 722*u**2 - 31464*u + 342792 = 0. Calculate u.
414/19
Determine l so that 5*l**2 + 45*l - 110 = 0.
-11, 2
Factor 6*s**5/13 - 82*s**4/13 + 4*s**3.
2*s**3*(s - 13)*(3*s - 2)/13
Factor -h**4/2 - 23*h**3/2 - 7*h**2 + 94*h + 132.
-(h - 3)*(h + 2)**2*(h + 22)/2
Factor 2*t**4/11 - 96*t**3/11 + 432*t**2/11 + 17280*t/11 + 64800/11.
2*(t - 30)**2*(t + 6)**2/11
Solve i**2/3 + 182*i/3 - 248 = 0.
-186, 4
Factor k**2/8 + k - 65/8.
(k - 5)*(k + 13)/8
Solve 4*p**2 - 52*p = 0 for p.
0, 13
Factor 4*t**2/3 - 304*t/3 + 5776/3.
4*(t - 38)**2/3
Factor y**3/3 - 8*y**2/3 - 11*y/3 + 6.
(y - 9)*(y - 1)*(y + 2)/3
Factor 3*d**4 + 888*d**3 + 98568*d**2 + 4862688*d + 89959728.
3*(d + 74)**4
Factor -147*y**2 + 11340*y - 218700.
-