55*c + 7350 = 0.
-2/9, 35
Factor 2*a**2 - 23304*a + 67884552.
2*(a - 5826)**2
Solve -w**3/2 - 31*w**2 + 127*w/2 - 32 = 0.
-64, 1
Find l such that -81*l**5 - 45*l**4 + 437*l**3 - 427*l**2 + 128*l - 12 = 0.
-3, 2/9, 1
Let -5*p**2/6 + 40/3 = 0. Calculate p.
-4, 4
What is y in 2*y**4/11 - 26*y**3/11 + 92*y**2/11 - 24*y/11 - 144/11 = 0?
-1, 2, 6
Factor d**4/4 + 3*d**3/2 + 5*d**2/4 - 3*d.
d*(d - 1)*(d + 3)*(d + 4)/4
Factor 5*l**5/2 + 25*l**4 + 125*l**3/2 - 50*l**2 - 200*l + 160.
5*(l - 1)**2*(l + 4)**3/2
Factor 5*z**4 - 20*z**3 - 25*z**2.
5*z**2*(z - 5)*(z + 1)
Factor -2*o**3 - 552*o**2 - 546*o + 1100.
-2*(o - 1)*(o + 2)*(o + 275)
Determine h, given that h**2/4 - 517*h/4 - 519/2 = 0.
-2, 519
Find u, given that u**2/6 + 23*u/2 - 146/3 = 0.
-73, 4
Factor -3*n**5 - 468*n**4 - 16803*n**3 + 112290*n**2 - 232308*n + 157464.
-3*(n - 2)**3*(n + 81)**2
Factor -5*f**2 - 1890*f + 3800.
-5*(f - 2)*(f + 380)
Find z, given that z**2 + 62*z + 961 = 0.
-31
Solve -j**3/3 + 35*j**2 - 1225*j + 42875/3 = 0 for j.
35
Solve s**2 + 380*s + 36100 = 0 for s.
-190
Factor v**2/2 + 1117*v/2 - 559.
(v - 1)*(v + 1118)/2
Factor -2*i**3/9 + 5510*i**2/9 - 3792256*i/9 - 3797768/9.
-2*(i - 1378)**2*(i + 1)/9
Factor i**2/3 - 19*i/3 - 84.
(i - 28)*(i + 9)/3
Factor -4*o**2 + 268*o + 840.
-4*(o - 70)*(o + 3)
Factor 4*v**2 + 164*v + 160.
4*(v + 1)*(v + 40)
What is p in -p**2/6 + p/3 - 1/6 = 0?
1
Determine r so that -r**3 - 3*r**2 - 2*r = 0.
-2, -1, 0
Determine s, given that 5*s**5 + 45*s**4/2 - 245*s**3 - 795*s**2/2 - 135*s = 0.
-9, -1, -1/2, 0, 6
Let -3*m**2/8 - 342*m = 0. Calculate m.
-912, 0
Find k, given that -15*k**2 - 70*k + 25 = 0.
-5, 1/3
Determine m, given that -2*m**2 + 192*m - 4608 = 0.
48
Solve 6*k**3/13 + 128*k**2/13 + 488*k/13 - 384/13 = 0 for k.
-16, -6, 2/3
Factor 4*r**3/3 - 32*r**2/3 - 560*r/3 + 1600.
4*(r - 10)**2*(r + 12)/3
Factor -2*l**3 - 906*l**2 - 136806*l - 6885902.
-2*(l + 151)**3
Suppose 2*n**4/5 - 18*n**3/5 + 54*n**2/5 - 62*n/5 + 24/5 = 0. Calculate n.
1, 3, 4
Factor -k**2 - 444*k - 443.
-(k + 1)*(k + 443)
Solve 3*d**2 - 72*d + 285 = 0 for d.
5, 19
Factor -2*y**3 + 38*y**2 - 198*y + 162.
-2*(y - 9)**2*(y - 1)
What is a in -5*a**4 + 135*a**3 + 145*a**2 - 135*a - 140 = 0?
-1, 1, 28
Solve 2*z**2/7 - 98*z = 0 for z.
0, 343
Find a, given that -2*a**2/9 - 140*a/3 - 2450 = 0.
-105
Let c**2 + 83*c = 0. What is c?
-83, 0
Determine t so that 20*t**4/7 - 556*t**3 - 1640*t**2/7 + 2224*t + 6240/7 = 0.
-2, -2/5, 2, 195
Factor -3*k**2 - 953*k + 318.
-(k + 318)*(3*k - 1)
Let -2*o**3/5 - 62*o**2/5 - 22*o + 174/5 = 0. Calculate o.
-29, -3, 1
Factor -p**4 - 9*p**3 + 22*p**2.
-p**2*(p - 2)*(p + 11)
Determine m, given that -6*m**4/5 - 114*m**3/5 - 594*m**2/5 - 606*m/5 + 264 = 0.
-11, -5, -4, 1
Solve a**3/2 + 9*a**2/2 + 4*a = 0 for a.
-8, -1, 0
Let 5*r**2/4 + 555*r/2 + 61605/4 = 0. Calculate r.
-111
Determine j so that -2*j**5/13 + 18*j**4/13 + 272*j**3/13 = 0.
-8, 0, 17
Factor 4*b**3 - 20*b**2 + 32*b - 16.
4*(b - 2)**2*(b - 1)
Factor x**2 - 7*x - 18.
(x - 9)*(x + 2)
Suppose 5*h**4 - 110*h**3 + 465*h**2 - 700*h + 340 = 0. Calculate h.
1, 2, 17
Determine i, given that i**5/4 + 45*i**4 + 2700*i**3 + 62640*i**2 + 622080*i + 2239488 = 0.
-72, -12
Factor 4*d**2 + 2272*d - 4560.
4*(d - 2)*(d + 570)
Factor -2*o**3 + 1262*o**2 + 1268*o - 2528.
-2*(o - 632)*(o - 1)*(o + 2)
Find g such that g**3/2 + 23*g**2 = 0.
-46, 0
What is n in -n**3/9 - 178*n**2/9 - 527*n/9 - 350/9 = 0?
-175, -2, -1
Determine j so that 5*j**2 - 15*j + 10 = 0.
1, 2
Let 4*l**3 - 44*l**2 - 48*l = 0. Calculate l.
-1, 0, 12
Factor 7*r**5/4 - 3*r**4 - r**3.
r**3*(r - 2)*(7*r + 2)/4
Let -2*q**4/13 + 4*q**3 - 120*q**2/13 - 36*q + 1242/13 = 0. Calculate q.
-3, 3, 23
Factor -3*k**3/7 + 705*k**2/7 - 44409*k/7 + 344763/7.
-3*(k - 113)**2*(k - 9)/7
Find n, given that 135*n**3 + 1630*n**2 + 4980*n + 360 = 0.
-6, -2/27
Factor g**2/6 + 47*g/3 + 31/2.
(g + 1)*(g + 93)/6
Find c such that -3*c**4 + 51*c**3 - 126*c**2 - 780*c - 600 = 0.
-2, -1, 10
Let 2*u**5/5 + 8*u**4 + 6*u**3 - 32*u**2 - 152*u/5 = 0. What is u?
-19, -2, -1, 0, 2
Determine g, given that -99*g**2 + 6*g = 0.
0, 2/33
Suppose -c**2/2 + 124*c = 0. Calculate c.
0, 248
Let -50*t**5/9 - 1240*t**4/9 - 3218*t**3/9 - 3092*t**2/9 - 1240*t/9 - 176/9 = 0. What is t?
-22, -1, -2/5
Factor -n**4 - 35*n**3 + 425*n**2 - 1125*n.
-n*(n - 5)**2*(n + 45)
Suppose -9*s**4 + 6*s**3 + 48*s**2 + 42*s + 9 = 0. What is s?
-1, -1/3, 3
Factor 2*t**2/3 + 13132*t/3 + 21556178/3.
2*(t + 3283)**2/3
Suppose -3*r**3 + 150*r**2 + 312*r = 0. Calculate r.
-2, 0, 52
Factor -3*s**3/5 - 48*s**2/5 - 123*s/5 - 78/5.
-3*(s + 1)*(s + 2)*(s + 13)/5
Let -45*c**4 - 290*c**3 - 525*c**2 - 360*c - 80 = 0. Calculate c.
-4, -1, -4/9
Determine w so that -52*w**2 + 96*w + 16 = 0.
-2/13, 2
Factor -h**3/3 + 9*h**2 + 43*h - 155/3.
-(h - 31)*(h - 1)*(h + 5)/3
Factor 2*s**4/3 - 74*s**3/3 + 24*s**2.
2*s**2*(s - 36)*(s - 1)/3
Solve -y**3/6 + 59*y**2/3 - 3481*y/6 = 0.
0, 59
What is b in b**3 - 211*b**2 - b + 211 = 0?
-1, 1, 211
Find n such that -2*n**5/23 - 4*n**4/23 + 16*n**3/23 + 36*n**2/23 + 18*n/23 = 0.
-3, -1, 0, 3
Let g**2/4 + 3*g/2 - 7/4 = 0. Calculate g.
-7, 1
Factor -4*m**4 - 12*m**3 + 16*m**2.
-4*m**2*(m - 1)*(m + 4)
Factor -i**2/5 - 424*i/5 - 423/5.
-(i + 1)*(i + 423)/5
Solve s**2/4 - 13*s + 169 = 0.
26
Find n such that -4*n**3 - 172*n**2 - 1564*n + 6348 = 0.
-23, 3
Find i such that 4*i**3 - 3156*i**2 + 3144*i + 6304 = 0.
-1, 2, 788
Determine c so that c**4 + 104*c**3 - 648*c**2 + 1312*c - 880 = 0.
-110, 2
Factor 3*d**3/2 - 282*d**2 + 2757*d/2 - 1098.
3*(d - 183)*(d - 4)*(d - 1)/2
Determine b, given that -2*b**4 - 18*b**3 + 182*b**2 + 1818*b + 1620 = 0.
-9, -1, 10
Find x such that -x**3/3 + 3*x**2 - 23*x/3 + 5 = 0.
1, 3, 5
Find g such that -13*g**5/7 - 107*g**4/7 - 48*g**3 - 488*g**2/7 - 304*g/7 - 48/7 = 0.
-2, -3/13
What is q in q**5/3 - 4*q**4 + 13*q**3 - 28*q**2/3 = 0?
0, 1, 4, 7
Suppose -2*p**2 - 30*p + 68 = 0. Calculate p.
-17, 2
Factor 40*c**3 + 4900*c**2 - 4915*c/2 + 615/2.
5*(c + 123)*(4*c - 1)**2/2
Factor -605*f**3/4 + 737*f**2/4 + 40*f - 75.
-(5*f + 3)*(11*f - 10)**2/4
Let -5*g**5 - 90*g**4 - 550*g**3 - 1340*g**2 - 1365*g - 490 = 0. Calculate g.
-7, -2, -1
What is t in -5*t**2 + 1430*t - 102245 = 0?
143
Find z such that -4*z**4 + 96*z**3 - 464*z**2 + 576*z = 0.
0, 2, 4, 18
Factor -3*q**3/2 - 37*q**2/2 - 50*q + 42.
-(q + 6)*(q + 7)*(3*q - 2)/2
Factor -2*h**2/15 - 184*h/15 - 4232/15.
-2*(h + 46)**2/15
Solve -4*i**2 + 143*i - 868 = 0 for i.
31/4, 28
Factor -2*t**2 + 12*t - 16.
-2*(t - 4)*(t - 2)
Factor o**3 - 8*o**2 + 12*o.
o*(o - 6)*(o - 2)
Find b, given that 5*b**5 - 53*b**4 + 105*b**3 + 5*b**2 - 110*b + 48 = 0.
-1, 3/5, 1, 2, 8
Factor -2*a**3/3 - 10*a**2/3 - 16*a/3 - 8/3.
-2*(a + 1)*(a + 2)**2/3
Factor -w**5/8 + 3*w**4/4 - 9*w**3/8 + w**2/2.
-w**2*(w - 4)*(w - 1)**2/8
Find c, given that -2*c**5/7 - 66*c**4/7 - 510*c**3/7 - 1150*c**2/7 = 0.
-23, -5, 0
Factor 5*g**5 - 30*g**4 - 15*g**3 + 100*g**2 - 60*g.
5*g*(g - 6)*(g - 1)**2*(g + 2)
Solve 3*s**4/7 - 141*s**3 + 81666*s**2/7 - 78720*s/7 - 161376/7 = 0.
-1, 2, 164
Find x such that 2*x**3/9 + 16*x**2 + 384*x + 3072 = 0.
-24
Factor 3*o**3 - 78*o**2 + 273*o - 198.
3*(o - 22)*(o - 3)*(o - 1)
Find x such that -5*x**5 - 225*x**4 - 2850*x**3 - 7250*x**2 - 6825*x - 2205 = 0.
-21, -1
Factor -u**5/4 + 3*u**4/4 - u**3/2.
-u**3*(u - 2)*(u - 1)/4
Factor -3*r**2 + 1989*r.
-3*r*(r - 663)
Determine v so that 295936*v**2 - 2176*v + 4 = 0.
1/272
Factor -a**2/4 + 53*a/4.
-a*(a - 53)/4
Factor -3*m**2 + 15*m.
-3*m*(m - 5)
Factor -75*j**3 + 605*j**2/2 - 10*j.
-5*j*(j - 4)*(30*j - 1)/2
Factor 2*o**4/9 - 34*o**3 + 294*o**2 - 870*o + 864.
2*(o - 144)*(o - 3)**3/9
Determine g so that 2*g**5/13 + 30*g**4/13 - 152*g**3/13 + 32*g**2/13 + 576*g/13 - 608/13 = 0.
-19, -2, 2
What is b in 2*b**2/3 + 26*b + 76/3 = 0?
-38, -1
What is j in -242*j**3/3 + 1540*j**2/3 - 536*j/3 + 16 = 0?
2/11, 6
Factor 4*j**4 + 12*j**3 - 4*j**2 - 12*j.
4*j*(j - 1)*(j + 1)*(j + 3)
Let 2*h**4/11 - 14*h**3/11 - 18*h**2/11 + 14*h/11 + 16/11 = 0. Calculate h.
-1, 1, 8
Factor -q**3/4 - 438*q**2 - 255792*q - 49794176.
-(q + 584)**3/4
Factor 3*x**4/7 - 96*x**3/7 + 768*x**2/7.
3*x**2*(x - 16)**2/7
Factor -3*x**3 - 45*x**2 - 81*x - 39.
-3*(x + 1)**2*(x + 13)
Factor -2*a**2/3 + 32/3.
-2*(a - 4)*(a + 4)/3
Factor 4*t**5 - 156*t**4 + 1