 1)*(g + 2)
Find g such that 5*g**2 - 7980*g + 3184020 = 0.
798
Factor -f**3/3 - 86*f**2/3 + 89*f/3 + 58.
-(f - 2)*(f + 1)*(f + 87)/3
Find c such that -135*c**3 - 260*c**2 + 20*c = 0.
-2, 0, 2/27
Find x, given that -x**5/6 + x**4/6 + 2*x**3/3 - 2*x**2/3 = 0.
-2, 0, 1, 2
Factor -2*i**3/11 - 14*i**2/11 - 24*i/11.
-2*i*(i + 3)*(i + 4)/11
Solve -4*f**3 - 4336*f**2 + 8688*f = 0 for f.
-1086, 0, 2
Factor 5*u**3/2 - 915*u**2/2 + 1815*u/2 - 905/2.
5*(u - 181)*(u - 1)**2/2
Factor -5*y**3/2 - 727*y**2/2 - 145*y.
-y*(y + 145)*(5*y + 2)/2
Factor -5*w**3/3 - 220*w**2/3 + 695*w/3 - 470/3.
-5*(w - 2)*(w - 1)*(w + 47)/3
Factor -q**4 - 14*q**3 - 56*q**2 - 64*q.
-q*(q + 2)*(q + 4)*(q + 8)
What is r in -3*r**2 - 27*r - 60 = 0?
-5, -4
Let 2*c**2 - 540*c + 36450 = 0. What is c?
135
Factor 2*t**2/11 + 6744*t/11 + 5685192/11.
2*(t + 1686)**2/11
Suppose -16*b**4 + 4908*b**3 - 378216*b**2 + 280908*b = 0. Calculate b.
0, 3/4, 153
Factor 4*d**4 - 176*d**3 + 164*d**2 + 344*d.
4*d*(d - 43)*(d - 2)*(d + 1)
Determine t so that -t**2/3 + 7*t + 46/3 = 0.
-2, 23
Factor -o**2/9 + 114*o - 29241.
-(o - 513)**2/9
Solve u**2 + 106*u - 1416 = 0.
-118, 12
Determine h so that 18*h**5/7 - 15*h**4 + 54*h**3/7 + 120*h**2/7 - 72*h/7 - 15/7 = 0.
-1, -1/6, 1, 5
Factor -36*s**3 + 80*s**2 + 92*s - 24.
-4*(s - 3)*(s + 1)*(9*s - 2)
Factor j**2 + 3*j.
j*(j + 3)
Factor 2*z**4/11 + 384*z**3/11.
2*z**3*(z + 192)/11
Factor 3*z**3 + 24*z**2.
3*z**2*(z + 8)
Let -w**3/5 - 13*w**2/5 + 109*w/5 - 19 = 0. What is w?
-19, 1, 5
Solve -b**3/3 - 8*b**2 + 39*b + 140/3 = 0 for b.
-28, -1, 5
Find c such that 3*c**4/2 - 6*c**3 - 63*c**2 - 54*c + 243/2 = 0.
-3, 1, 9
Factor m**5/2 - 3*m**3/2 - m**2.
m**2*(m - 2)*(m + 1)**2/2
Let -c**3 + 13*c**2 - 56*c + 80 = 0. Calculate c.
4, 5
Suppose -j**3/7 - 2*j**2/7 + j/7 + 2/7 = 0. What is j?
-2, -1, 1
Factor 3*g**3 - 51*g**2 + 93*g - 45.
3*(g - 15)*(g - 1)**2
Determine d so that 2*d**3/13 - 16*d**2/13 - 8*d/13 + 64/13 = 0.
-2, 2, 8
Factor 4*i**3 + 16*i**2 + 20*i + 8.
4*(i + 1)**2*(i + 2)
Factor -4*n**3/9 + 28*n**2/3 - 56*n/9 - 160/3.
-4*(n - 20)*(n - 3)*(n + 2)/9
Factor -4*r**3/3 + 188*r**2/3 + 392*r/3.
-4*r*(r - 49)*(r + 2)/3
Factor 5*m**3 - 880*m**2 + 38720*m.
5*m*(m - 88)**2
Factor -4*m**2 - 1396*m + 1400.
-4*(m - 1)*(m + 350)
Solve -2*n**5/5 - 6*n**4/5 - 4*n**3/5 + 4*n**2/5 + 6*n/5 + 2/5 = 0.
-1, 1
Solve -2*p**2/5 + 2304*p - 3317760 = 0 for p.
2880
Factor -5*y**2 - 270*y + 3200.
-5*(y - 10)*(y + 64)
Find r such that 280*r**5/9 - 138*r**4 + 1312*r**3/9 - 98*r**2/3 - 80*r/9 + 8/3 = 0.
-1/4, 2/7, 2/5, 1, 3
Find h such that h**3/4 + h**2/4 = 0.
-1, 0
Suppose -5*w**3 - 35*w**2 - 70*w - 40 = 0. What is w?
-4, -2, -1
Factor -2*x**2/5 - 786*x/5 - 776.
-2*(x + 5)*(x + 388)/5
Suppose 5*x**2 - 2830*x - 5680 = 0. Calculate x.
-2, 568
Factor 162*g**2 - 47376*g + 3463712.
2*(9*g - 1316)**2
Suppose -12*t**5 - 1030*t**4 + 3386*t**3 + 322*t**2 - 3014*t + 1068 = 0. Calculate t.
-89, -1, 1/2, 2/3, 3
Factor -3*i**3/2 - 5*i**2 - 2*i + 4.
-(i + 2)**2*(3*i - 2)/2
Factor 2*k**2 - 132*k - 134.
2*(k - 67)*(k + 1)
Find r such that r**4/7 - 32*r**3/7 = 0.
0, 32
Find f such that -2*f**4 - 62*f**3 - 520*f**2 - 1696*f - 1920 = 0.
-20, -4, -3
Factor 3*f**2 + 12147*f - 12150.
3*(f - 1)*(f + 4050)
Factor -u**5/3 + 2*u**4 - 3*u**3.
-u**3*(u - 3)**2/3
Factor u**2/3 - 295*u/3 + 98.
(u - 294)*(u - 1)/3
Factor 4*x**3 + 284*x**2 - 1188*x + 900.
4*(x - 3)*(x - 1)*(x + 75)
Factor -x**3/6 + 33*x**2/2 - 97*x/3.
-x*(x - 97)*(x - 2)/6
Factor 4*k**4 - 64*k**3 + 248*k**2 - 320*k + 132.
4*(k - 11)*(k - 3)*(k - 1)**2
Factor 4*f**2 + 240*f + 464.
4*(f + 2)*(f + 58)
What is v in -2*v**5 + 524*v**4 - 45932*v**3 + 1361376*v**2 - 1226178*v - 2634012 = 0?
-1, 2, 87
Suppose -b**4 - 4*b**3/3 + 5*b**2/3 + 2*b/3 = 0. Calculate b.
-2, -1/3, 0, 1
Solve 2*j**2/9 + 6*j - 56/9 = 0 for j.
-28, 1
Let -197192*v**2/5 + 1256*v - 10 = 0. Calculate v.
5/314
Factor -2*v**3 - 46*v**2 - 224*v.
-2*v*(v + 7)*(v + 16)
Factor -2*c**2/15 + 436*c/15 - 832/3.
-2*(c - 208)*(c - 10)/15
Find k, given that -3*k**4/2 - 57*k**3/2 - 99*k**2/2 + 57*k/2 + 51 = 0.
-17, -2, -1, 1
Factor -2*o**2/17 + 160*o/17 + 328/17.
-2*(o - 82)*(o + 2)/17
Factor -3*c**3/4 - 525*c**2/4.
-3*c**2*(c + 175)/4
Suppose o**5 + 203*o**4/4 + 2217*o**3/4 - 9315*o**2/4 + 2187*o/4 = 0. Calculate o.
-27, 0, 1/4, 3
Solve x**2 - 29*x + 28 = 0 for x.
1, 28
Factor 4*x**5 - 48*x**4 + 164*x**3 - 168*x**2.
4*x**2*(x - 7)*(x - 3)*(x - 2)
What is d in -6*d**3/11 + 46*d**2/11 + 52*d/11 = 0?
-1, 0, 26/3
Suppose 28*t**2/3 + 16*t - 16/3 = 0. Calculate t.
-2, 2/7
Suppose -3*y**2 + 141*y - 396 = 0. Calculate y.
3, 44
Factor 3*g**4/2 - 21*g**3.
3*g**3*(g - 14)/2
Determine g so that -3*g**3 - 159*g**2 - 150*g + 312 = 0.
-52, -2, 1
Factor x**3/9 + 7*x**2/9 + 4*x/9 - 4/3.
(x - 1)*(x + 2)*(x + 6)/9
Let 3*p**5/5 + 276*p**4/5 + 6339*p**3/5 - 822*p**2/5 - 18492*p/5 + 12696/5 = 0. What is p?
-46, -2, 1
Solve 196*a**2 + 400*a + 16 = 0.
-2, -2/49
Factor 48*h**2 + h.
h*(48*h + 1)
Let 2*y**4/11 - 188*y**3/11 + 400*y**2 + 1692*y/11 - 39762/11 = 0. What is y?
-3, 3, 47
Find s, given that 2*s**2 - 8144*s + 8290592 = 0.
2036
Suppose 16*f**5 - 20*f**4 - 284*f**3 + 328*f**2 + 448*f - 128 = 0. Calculate f.
-4, -1, 1/4, 2, 4
Solve -5*s**3 - 105*s**2 + 765*s - 1215 = 0 for s.
-27, 3
Suppose -35000*s**4 + 136900*s**3 + 12576*s**2 - 688*s - 64 = 0. Calculate s.
-2/25, 1/14, 4
Factor -5*d**4 - 2*d**3 + 15*d**2 - 4*d - 4.
-(d - 1)**2*(d + 2)*(5*d + 2)
Determine x, given that -3*x**5 + 2001*x**4/4 - 1443*x**3/4 - 4251*x**2/2 + 1491*x + 498 = 0.
-2, -1/4, 1, 2, 166
Solve 2*z**5 - 78*z**4 - 344*z**3 = 0 for z.
-4, 0, 43
Factor 2*j**2/5 - 372*j/5 + 736/5.
2*(j - 184)*(j - 2)/5
Factor -y**3/5 - 3*y**2/5 + 9*y/5 + 27/5.
-(y - 3)*(y + 3)**2/5
Factor 140*l**3 - 95*l**2 - 65*l + 20.
5*(l - 1)*(4*l - 1)*(7*l + 4)
Determine s so that 2*s**3 - 96*s**2 - 2*s + 96 = 0.
-1, 1, 48
Find p, given that -5*p**5/3 + 14*p**4 - 131*p**3/3 + 62*p**2 - 116*p/3 + 8 = 0.
2/5, 1, 2, 3
Factor g**4/6 + 172*g**3/3 + 15299*g**2/3 + 29068*g + 85683/2.
(g + 3)**2*(g + 169)**2/6
Factor -n**5 - 52*n**4 - 918*n**3 - 5780*n**2 - 4913*n.
-n*(n + 1)*(n + 17)**3
Determine u so that u**3/7 - 116*u**2/7 + 3477*u/7 - 6498/7 = 0.
2, 57
Factor 4*z**3 - 204*z**2 - 864*z - 880.
4*(z - 55)*(z + 2)**2
Factor 4*v**2 - 180*v - 9856.
4*(v - 77)*(v + 32)
Determine a, given that -75*a**5 + 960*a**4 - 4032*a**3 + 6384*a**2 - 3408*a + 576 = 0.
2/5, 2, 4, 6
Determine u so that 5*u**4 + 100*u**3 + 260*u**2 - 2400*u + 2880 = 0.
-12, 2
What is g in -4*g**4 + 164*g**3 - 156*g**2 - 164*g + 160 = 0?
-1, 1, 40
Factor 3*u**2/2 + 26091*u + 226913427/2.
3*(u + 8697)**2/2
Factor 2*x**3 - 1818*x**2 + 408558*x + 2088490.
2*(x - 457)**2*(x + 5)
Let -9*q**4/10 + 11*q**3/10 + 17*q**2/5 - 22*q/5 + 4/5 = 0. What is q?
-2, 2/9, 1, 2
Find c, given that c**2 - 118*c - 240 = 0.
-2, 120
Suppose -3*c**3/7 + 237*c**2/7 - 216*c = 0. What is c?
0, 7, 72
Factor 121*g**3 + 1628*g**2 + 6741*g + 7938.
(g + 2)*(11*g + 63)**2
Factor -i**2/5 + 72*i - 1071/5.
-(i - 357)*(i - 3)/5
Factor -5*z**2 + 2260*z + 4540.
-5*(z - 454)*(z + 2)
Factor -l**5 + 3*l**4 + 2*l**3 - 12*l**2 + 8*l.
-l*(l - 2)**2*(l - 1)*(l + 2)
Let -d**3/4 + 31*d**2/2 = 0. Calculate d.
0, 62
Solve -5*h**3 + 45*h**2 + 450*h = 0.
-6, 0, 15
Factor 2*p**4/7 + 288*p**3/7 + 240*p**2 + 3328*p/7 + 2208/7.
2*(p + 2)**3*(p + 138)/7
Find a such that -3*a**2/2 + 171*a/2 - 243 = 0.
3, 54
Determine g so that g**5 + 64*g**4 + 124*g**3 - 2*g**2 - 125*g - 62 = 0.
-62, -1, 1
Suppose -2*u**3 + 28*u**2 - 130*u + 200 = 0. Calculate u.
4, 5
Solve -6*x**5/7 + 16*x**4/7 - 2*x**3/7 - 16*x**2/7 + 8*x/7 = 0 for x.
-1, 0, 2/3, 1, 2
Let -4*m**5 - 28*m**4 + 64*m**3 + 352*m**2 - 960*m + 576 = 0. Calculate m.
-6, 1, 2
Factor 3*k**4 - 57*k**3 + 234*k**2 + 420*k - 600.
3*(k - 10)**2*(k - 1)*(k + 2)
Suppose z**5 - 10*z**4 + 31*z**3 - 26*z**2 - 28*z + 40 = 0. Calculate z.
-1, 2, 5
Factor 4*g**3 - 9*g**2 + 6*g - 1.
(g - 1)**2*(4*g - 1)
Factor -4*c**2 - 348*c + 1840.
-4*(c - 5)*(c + 92)
What is c in -23*c**2/9 + 409*c/9 + 10 = 0?
-5/23, 18
Factor n**4/3 - 7*n**3 + 20*n**2/3.
n**2*(n - 20)*(n - 1)/3
Let -2*f**2/7 - 138*f/7 + 284/7 = 0. Calculate f.
-71, 2
Find y such that -y**2/4 + 2*y - 15/4 = 0.
3, 5
Factor 1146098*o**2/3 + 6056*o/3 + 8/3.
2*(757*o + 2)**2/3
Factor -2*h**2/7 - 562*h/7 + 1