ctor b**3/4 - 23*b**2/4 + 75*b/2 - 54.
(b - 12)*(b - 9)*(b - 2)/4
Factor g**2/3 + g/3 - 2.
(g - 2)*(g + 3)/3
Suppose -4*p**5/9 + 44*p**4/9 - 160*p**3/9 + 176*p**2/9 + 128*p/9 - 256/9 = 0. What is p?
-1, 2, 4
Factor -4*l**3 + 504*l**2 + 2080*l.
-4*l*(l - 130)*(l + 4)
Determine y, given that 2*y**5/5 + 8*y**4/5 - 34*y**3/5 - 48*y**2/5 + 72*y/5 = 0.
-6, -2, 0, 1, 3
Suppose -2*v**4 + 436*v**3/5 - 634*v**2/5 - 1584*v/5 - 504/5 = 0. Calculate v.
-1, -2/5, 3, 42
Factor -2*k**4 + 70*k**3 + 224*k**2 + 152*k.
-2*k*(k - 38)*(k + 1)*(k + 2)
Let 2*b**3 - 4228*b**2 + 2234498*b = 0. What is b?
0, 1057
Determine m, given that m**4/6 - 4*m**3 + 113*m**2/6 - 13*m - 36 = 0.
-1, 3, 4, 18
Factor -3*s**3/2 + 33*s**2/2 - 12*s - 30.
-3*(s - 10)*(s - 2)*(s + 1)/2
Factor 4*c**2/3 - 13528*c/3 + 11437924/3.
4*(c - 1691)**2/3
Suppose -8*t**2 + 15500*t/3 - 4300 = 0. What is t?
5/6, 645
Solve -3*w**3/5 - 111*w**2/5 - 492*w/5 - 384/5 = 0.
-32, -4, -1
Suppose u**5/11 - u**4/11 - 3*u**3/11 + u**2/11 + 2*u/11 = 0. What is u?
-1, 0, 1, 2
Factor 2*y**4 - 12*y**3 + 8*y**2 + 48*y - 64.
2*(y - 4)*(y - 2)**2*(y + 2)
Factor 6*j**3/5 + 698*j**2 + 506922*j/5 - 169362/5.
2*(j + 291)**2*(3*j - 1)/5
Factor -98*v**3/11 - 448*v**2/11 - 232*v/11 - 32/11.
-2*(v + 4)*(7*v + 2)**2/11
Factor -2*s**2/5 + 64*s/5 - 54.
-2*(s - 27)*(s - 5)/5
Suppose 3*c**5 + 42*c**4 + 159*c**3 + 228*c**2 + 108*c = 0. Calculate c.
-9, -2, -1, 0
Suppose -5*a**5 + 20*a**3 - 10*a**2 - 15*a + 10 = 0. Calculate a.
-2, -1, 1
Factor -7*w**3/4 + 13*w**2/2 - 13*w/4 - 3/2.
-(w - 3)*(w - 1)*(7*w + 2)/4
Suppose 5*d**2/6 + 715*d/3 - 480 = 0. What is d?
-288, 2
Factor 2*m**5/11 + 40*m**4/11 + 284*m**3/11 + 840*m**2/11 + 882*m/11.
2*m*(m + 3)**2*(m + 7)**2/11
Determine i so that -i**5/4 - 5*i**4/4 - 5*i**3/2 - 5*i**2/2 - 5*i/4 - 1/4 = 0.
-1
Solve -686*b**3/5 - 106428*b**2/5 - 5503848*b/5 - 94875856/5 = 0.
-362/7
Factor -b**2 - 15*b + 16.
-(b - 1)*(b + 16)
Solve 2*z**4/21 - 2*z**3/21 - 8*z**2/7 + 8*z/3 - 32/21 = 0 for z.
-4, 1, 2
Determine s so that 5*s**2 - 430*s + 9245 = 0.
43
Let -4*n**3/3 + 164*n**2/3 - 1900*n/3 + 1444 = 0. What is n?
3, 19
Factor y**3 - 23*y**2/2 + 30*y + 18.
(y - 6)**2*(2*y + 1)/2
Solve -2*q**4/7 + 16*q**3/7 + 88*q**2/7 - 480*q/7 = 0.
-6, 0, 4, 10
Factor 4*y**3 + 48*y**2 - 60*y - 104.
4*(y - 2)*(y + 1)*(y + 13)
Solve 3*g**3 - 18*g**2 - 552*g + 1152 = 0 for g.
-12, 2, 16
Suppose 2*u**5 + 20*u**4 + 58*u**3 + 16*u**2 - 96*u = 0. What is u?
-4, -3, 0, 1
Factor 3*c**5 - 9*c**4 + 3*c**3 + 9*c**2 - 6*c.
3*c*(c - 2)*(c - 1)**2*(c + 1)
Determine y so that -2*y**2 - 18*y - 36 = 0.
-6, -3
Let -4*y**4 + 144*y**3 + 320*y**2 - 576*y - 1216 = 0. Calculate y.
-2, 2, 38
Solve 16*y**5 + 468*y**4 + 116*y**3 = 0.
-29, -1/4, 0
Factor -4*j**4 - 160*j**3 + 332*j**2 - 168*j.
-4*j*(j - 1)**2*(j + 42)
Suppose 3*i**2/8 + 81*i/2 = 0. What is i?
-108, 0
Suppose -2*o**2/7 + 54*o/7 + 828 = 0. Calculate o.
-42, 69
Factor 3*a**5/5 + 843*a**4 + 473766*a**3 + 133128246*a**2 + 18704518563*a + 5255969716203/5.
3*(a + 281)**5/5
Factor 9*t**4 + 507*t**3 - 345*t**2 - 171*t.
3*t*(t - 1)*(t + 57)*(3*t + 1)
What is g in -2*g**3 + 196*g**2 + 1664*g + 3392 = 0?
-4, 106
Solve x**5/5 + 409*x**4/5 - 414*x**3/5 - 1636*x**2/5 + 328*x = 0.
-410, -2, 0, 1, 2
Factor -2*m**5 + 72*m**4 - 572*m**3 - 1368*m**2 - 722*m.
-2*m*(m - 19)**2*(m + 1)**2
Let -a**5/7 - a**4 + 18*a**3/7 - 2*a**2/7 - 17*a/7 + 9/7 = 0. Calculate a.
-9, -1, 1
Factor -2*p**2 - 59*p/2 + 67.
-(p - 2)*(4*p + 67)/2
Factor 3*n**4/8 - 9*n**3/4 - 6*n**2.
3*n**2*(n - 8)*(n + 2)/8
Let -9*f**3/5 - 462*f**2/5 + 312*f/5 = 0. What is f?
-52, 0, 2/3
Determine f so that -3*f**4 + 3139*f**3 + 11538*f**2 + 12596*f + 4200 = 0.
-2, -1, -2/3, 1050
Solve -100*x**3 + 220*x**2 + 224*x + 48 = 0 for x.
-2/5, 3
Factor 3*c**5/2 + 36*c**4 + 603*c**3/2 + 1065*c**2 + 1674*c + 972.
3*(c + 2)**3*(c + 9)**2/2
Determine i so that 8*i**4 + 38*i**3 + 38*i**2 - 12*i = 0.
-3, -2, 0, 1/4
Factor -n**3/6 - 2*n**2/3 + 88*n - 672.
-(n - 12)**2*(n + 28)/6
Solve 24*s**2/7 - 4*s/7 - 4 = 0.
-1, 7/6
Factor -z**4 + 134*z**2 - 504*z - 637.
-(z - 7)**2*(z + 1)*(z + 13)
Determine g, given that -g**2 + 8*g - 15 = 0.
3, 5
Factor -22*i**2/5 + 116*i/5.
-2*i*(11*i - 58)/5
Factor -4*w**2/5 - 664*w - 137780.
-4*(w + 415)**2/5
Let -3*s**2 + 63*s - 114 = 0. Calculate s.
2, 19
Suppose 3*u**4 + 1395*u**3 + 162858*u**2 + 158688*u - 322944 = 0. Calculate u.
-232, -2, 1
Suppose d**3 - 1557*d**2 - 9369*d - 14067 = 0. Calculate d.
-3, 1563
Solve c**2 - 344*c + 29584 = 0.
172
Factor 4*f**3 - 328*f**2 - 356*f + 1992.
4*(f - 83)*(f - 2)*(f + 3)
Factor 2*h**4 + 14*h**3 - 6*h**2 - 46*h - 28.
2*(h - 2)*(h + 1)**2*(h + 7)
Suppose -2*q**5/11 + 64*q**4/11 - 26*q**3 + 40*q**2 - 216*q/11 = 0. What is q?
0, 1, 2, 27
Suppose -g**3/2 + 3*g**2/2 - 2 = 0. Calculate g.
-1, 2
Factor 10*q**4 + 1872*q**3 + 418928*q**2/5 - 1789632*q/5 + 1827872/5.
2*(q - 2)**2*(5*q + 478)**2/5
What is u in -u**5 + 56*u**4 - 1176*u**3 + 10976*u**2 - 38416*u = 0?
0, 14
Factor -2*y**4 - 10*y**3 + 8*y**2 + 88*y + 96.
-2*(y - 3)*(y + 2)**2*(y + 4)
Factor 3*p**2 + 348*p + 345.
3*(p + 1)*(p + 115)
Find o, given that 2*o**3 + 6786*o**2 + 7674966*o + 2893462182 = 0.
-1131
What is b in -5*b**2/3 - 2005*b/3 + 670 = 0?
-402, 1
Let 3*f**4/8 + 21*f**3/4 + 33*f**2/2 + 15*f = 0. Calculate f.
-10, -2, 0
Let -9*u**5 + 6981*u**4 - 1338520*u**3 - 5900712*u**2 - 6074640*u - 1825200 = 0. What is u?
-3, -2/3, 390
Factor -2*l**3 + 1332*l**2 + 2670*l + 1336.
-2*(l - 668)*(l + 1)**2
Determine q so that -5*q**3 + 125*q**2 - 935*q + 1815 = 0.
3, 11
Factor 5*m**5 + 20*m**4 + 25*m**3 + 10*m**2.
5*m**2*(m + 1)**2*(m + 2)
Find y such that -3*y**3 - 21*y**2 + 63*y + 81 = 0.
-9, -1, 3
Find x, given that -15*x**5/7 - 3*x**4/7 + 15*x**3 - 69*x**2/7 - 18*x/7 = 0.
-3, -1/5, 0, 1, 2
Find s such that -3*s**3 - 45*s**2/2 - 27*s = 0.
-6, -3/2, 0
Find m such that m**3/3 + 16*m**2/3 - 17*m/3 = 0.
-17, 0, 1
Find a such that -a**3 + 23*a**2 - 10*a - 264 = 0.
-3, 4, 22
Factor 2*m**4/5 + 1328*m**3/5 + 294372*m**2/5 + 21880768*m/5 + 21587722/5.
2*(m + 1)*(m + 221)**3/5
Factor -2*y**3/9 - 14*y**2/9 + 20*y/3.
-2*y*(y - 3)*(y + 10)/9
Find x, given that -x**4/6 - 2*x**3/3 + 2*x**2 + 16*x/3 - 32/3 = 0.
-4, 2
Factor r**5 - 5*r**4 - 12*r**3 + 36*r**2.
r**2*(r - 6)*(r - 2)*(r + 3)
Find b, given that -2*b**5 - 28*b**4 - 120*b**3 - 100*b**2 + 250*b = 0.
-5, 0, 1
Suppose -4*c**3 + 4*c**2 = 0. Calculate c.
0, 1
Factor -k**2/6 + 91*k/6 - 123.
-(k - 82)*(k - 9)/6
Factor -3*w**5 + 42*w**4 + 198*w**3 + 312*w**2 + 213*w + 54.
-3*(w - 18)*(w + 1)**4
Suppose -5*j**2 + 120*j + 125 = 0. Calculate j.
-1, 25
Factor 2*f**5 + 164*f**4 + 3522*f**3 + 6560*f**2 + 3200*f.
2*f*(f + 1)**2*(f + 40)**2
Solve -4*u**4 - 80*u**3 - 576*u**2 - 1792*u - 2048 = 0 for u.
-8, -4
Factor 3*o**4 + 99*o**3 + 819*o**2 - 2535*o - 39546.
3*(o - 6)*(o + 13)**3
Suppose 2*i**5 - 22*i**4 + 96*i**3 - 208*i**2 + 224*i - 96 = 0. What is i?
2, 3
Determine l so that -2*l**4/3 - 1264*l**3 - 1801196*l**2/3 - 1197008*l - 1793618/3 = 0.
-947, -1
Factor -4*n**3 - 92*n**2.
-4*n**2*(n + 23)
What is o in o**3/3 - 29*o**2/3 = 0?
0, 29
Suppose 5*k**2 + 273*k - 110 = 0. What is k?
-55, 2/5
Suppose 792*r**3 + 538*r**2 - 58*r - 12 = 0. What is r?
-3/4, -1/9, 2/11
Factor 4*y**2/3 - 64*y/3.
4*y*(y - 16)/3
Solve -r**2 - 17*r + 110 = 0 for r.
-22, 5
Suppose -3*u**4/5 + 9*u**3/5 - 9*u**2/5 + 3*u/5 = 0. Calculate u.
0, 1
Let 2*z**2/3 - 22*z/3 + 20/3 = 0. Calculate z.
1, 10
Suppose -o**5 + 2*o**4 + 4*o**3 - 2*o**2 - 3*o = 0. What is o?
-1, 0, 1, 3
Find y, given that 3*y**4 + 48*y**3 - 183*y**2 - 192*y + 684 = 0.
-19, -2, 2, 3
Determine t, given that t**3 + 55*t**2 - 296*t + 240 = 0.
-60, 1, 4
Suppose t**2/2 + 3799*t/2 = 0. What is t?
-3799, 0
Determine u so that 8*u**4/5 + 2*u**3/5 - 8*u**2/5 - 2*u/5 = 0.
-1, -1/4, 0, 1
Factor -2*q**2/3 + 484*q - 87846.
-2*(q - 363)**2/3
Factor -4*t**5 + 12*t**3 + 8*t**2.
-4*t**2*(t - 2)*(t + 1)**2
Factor -5*t**3/2 + 57*t**2/4 - 18*t - 27/4.
-(t - 3)**2*(10*t + 3)/4
Factor o**2/8 + 15*o/4.
o*(o + 30)/8
Determine n, given that -2*n**5/11 - 16*n**4/11 + 50*n**3/11 + 328*n**2/11 + 360*n/11 = 0.
-9, -2, 0, 5
Solve -3*j**2/5 - 54*j/5 = 0 for j.
-18, 0
Let 2*u**3/5 - 4*u**2 - 46*u/5 - 24/5 = 0. What is u?
-1, 12
Factor -3*s**4 + 336*s**3 - 12654*s**2 + 164280*s - 151959.
-3*(s - 37)**3*(s - 1)