m**3 + 12*m**2.
-2*m**2*(m - 6)
Factor -5*s**2 + 850*s - 36125.
-5*(s - 85)**2
What is k in 8*k**5/7 + 86*k**4/7 + 242*k**3/7 + 230*k**2/7 + 38*k/7 - 4 = 0?
-7, -2, -1, 1/4
Factor p**4 + 12*p**3 + 29*p**2 - 42*p.
p*(p - 1)*(p + 6)*(p + 7)
Factor 5*z**2 + 15*z - 50.
5*(z - 2)*(z + 5)
Factor 2*q**2/7 - 888*q/7 + 98568/7.
2*(q - 222)**2/7
Find k, given that k**2/4 + 167*k/4 + 165/2 = 0.
-165, -2
What is r in -24*r**5 - 628*r**4 - 88*r**3 + 412*r**2 - 104*r = 0?
-26, -1, 0, 1/3, 1/2
Factor 5*l**4 - 25*l**3 - 70*l**2.
5*l**2*(l - 7)*(l + 2)
Factor -3*h**2/2 + 15*h/2 - 6.
-3*(h - 4)*(h - 1)/2
Factor 5*a**2 + 105*a + 100.
5*(a + 1)*(a + 20)
Factor -30*k**3 - 3275*k**2 + 6115*k + 1110.
-5*(k - 2)*(k + 111)*(6*k + 1)
Find l such that 3*l**2 - 39*l - 144 = 0.
-3, 16
Find s such that s**2/3 - 53*s/3 + 52/3 = 0.
1, 52
Suppose -4*j**5/7 + 72*j**4/7 - 240*j**3/7 - 800*j**2/7 = 0. Calculate j.
-2, 0, 10
Factor q**5 + 3*q**4 - 5*q**3 - 3*q**2 + 4*q.
q*(q - 1)**2*(q + 1)*(q + 4)
What is u in -2*u**5 - 18*u**4 + 70*u**3 - 30*u**2 - 68*u + 48 = 0?
-12, -1, 1, 2
Factor -3*x**3/4 + 39*x**2/4.
-3*x**2*(x - 13)/4
Factor 4*w**2 + 100*w + 544.
4*(w + 8)*(w + 17)
Determine s, given that -867*s**3 - 4539*s**2 - 1032*s - 60 = 0.
-5, -2/17
Factor 27*m**2/7 - 18*m/7 + 3/7.
3*(3*m - 1)**2/7
Suppose 5*n**2 - 6680*n + 2231120 = 0. Calculate n.
668
Suppose 5*w**4/3 + 485*w**3/3 - 5*w**2/3 - 485*w/3 = 0. Calculate w.
-97, -1, 0, 1
Factor -12*i**3/5 - 17086*i**2/5 - 1216096*i + 1013888/5.
-2*(i + 712)**2*(6*i - 1)/5
Factor 3*y**5 - 10*y**4 + 4*y**3 + 8*y**2.
y**2*(y - 2)**2*(3*y + 2)
Let -d**4 - 74*d**3 + 228*d**2 - 230*d + 77 = 0. Calculate d.
-77, 1
Determine o, given that 5*o**3 + 2550*o**2 + 330165*o + 1280180 = 0.
-253, -4
Determine g so that g**3/6 + 55*g**2/2 + 163*g/3 = 0.
-163, -2, 0
Let -q**5/5 - 18*q**4/5 + 3*q**3/5 + 52*q**2/5 - 36*q/5 = 0. Calculate q.
-18, -2, 0, 1
What is s in -4*s**2/5 - 45904*s/5 - 131698576/5 = 0?
-5738
Factor 3*f**4 + 54*f**3 + 36*f**2 - 3480*f - 14400.
3*(f - 8)*(f + 6)*(f + 10)**2
Factor -2*l**2/3 + 24*l - 66.
-2*(l - 33)*(l - 3)/3
Factor 5*k**5 - 15*k**4 - 30*k**3 + 50*k**2 + 105*k + 45.
5*(k - 3)**2*(k + 1)**3
Factor m**3 - 23*m**2 + 22*m.
m*(m - 22)*(m - 1)
Determine t so that -2*t**2 - 2744*t - 941192 = 0.
-686
Factor -3*i**5/4 + 15*i**4/4 - 27*i**3/4 + 21*i**2/4 - 3*i/2.
-3*i*(i - 2)*(i - 1)**3/4
What is w in 2*w**3 + 64*w**2 - 2*w - 64 = 0?
-32, -1, 1
Factor -5*v**2 + 420*v - 8820.
-5*(v - 42)**2
Let -5*s**4/8 - 21*s**3/4 - 9*s**2/2 + 29*s + 12 = 0. Calculate s.
-6, -4, -2/5, 2
Factor 50*a**3 + 30*a**2 + 4*a.
2*a*(5*a + 1)*(5*a + 2)
Find q, given that -4*q**3/7 - 4*q**2 - 44*q/7 - 20/7 = 0.
-5, -1
Solve -2*t**4 - 6*t**3 - 6*t**2 - 2*t = 0.
-1, 0
Determine x so that -x**5/4 + x**4/4 + 5*x**3/4 - x**2/4 - 2*x - 1 = 0.
-1, 2
Suppose 4*m**4 - 104*m**3 + 672*m**2 + 104*m - 676 = 0. What is m?
-1, 1, 13
Determine p so that 2*p**5/5 - 54*p**4/5 + 438*p**3/5 - 202*p**2 + 912*p/5 - 288/5 = 0.
1, 12
Factor 5*o**4 + 10*o**3 - 5*o**2 - 10*o.
5*o*(o - 1)*(o + 1)*(o + 2)
What is j in 5*j**3 + 10*j**2 - 5*j - 10 = 0?
-2, -1, 1
Factor 4*b**5 - 4*b**4 - 24*b**3 + 16*b**2 + 32*b.
4*b*(b - 2)**2*(b + 1)*(b + 2)
Factor 4*m**2 + 968*m + 4740.
4*(m + 5)*(m + 237)
Let -4*m**4/5 - 76*m**3/5 - 264*m**2/5 + 304*m/5 + 224 = 0. What is m?
-14, -5, -2, 2
Solve h**5/6 - 41*h**4/2 + 1065*h**3/2 + 11889*h**2/2 + 19008*h + 19602 = 0.
-3, 66
Factor -i**5/3 - 4*i**4 + 256*i**2/3.
-i**2*(i - 4)*(i + 8)**2/3
Factor 7*u**4/4 + 205*u**3/4 + 29*u**2/2.
u**2*(u + 29)*(7*u + 2)/4
Suppose 2*z**2/7 - 352*z/7 + 50 = 0. What is z?
1, 175
Factor 3*u**3/7 - 255*u**2/7 + 792*u - 756.
3*(u - 42)**2*(u - 1)/7
Determine f, given that 2*f**4/13 - 2*f**3/13 - 18*f**2/13 + 18*f/13 = 0.
-3, 0, 1, 3
Factor 2*y**4/5 + 2*y**3/5 - 32*y**2/5 - 32*y/5.
2*y*(y - 4)*(y + 1)*(y + 4)/5
Factor f**2/3 - 88*f/3 + 1936/3.
(f - 44)**2/3
Let 2*c**4 + 6*c**3 - 10*c**2 - 6*c + 8 = 0. What is c?
-4, -1, 1
Factor a**2/5 - 150*a + 28125.
(a - 375)**2/5
Suppose 4*b**5 - 88*b**4 - 108*b**3 + 352*b**2 + 368*b = 0. Calculate b.
-2, -1, 0, 2, 23
Factor 3*i**3 + 72*i**2 + 528*i + 1152.
3*(i + 4)*(i + 8)*(i + 12)
Let -2*j**3/3 - 2*j**2/3 + 32*j/3 + 32/3 = 0. What is j?
-4, -1, 4
What is f in -f**5/2 - 4*f**4 + 19*f**3 + 26*f**2 - 37*f/2 - 22 = 0?
-11, -1, 1, 4
Factor -3*x**3 - 81*x**2 - 504*x + 588.
-3*(x - 1)*(x + 14)**2
Suppose 4*w**3/5 - 144*w**2/5 + 528*w/5 - 512/5 = 0. What is w?
2, 32
Solve i**3/5 - 237*i**2/5 = 0 for i.
0, 237
Let 2*o**3/3 - 12*o**2 - 38*o/3 = 0. What is o?
-1, 0, 19
Let -4*i**4 - 116*i**3 - 840*i**2 = 0. What is i?
-15, -14, 0
Solve -4*i**3 + 148*i**2 - 136*i - 288 = 0 for i.
-1, 2, 36
Factor -4*t**4 - 960*t**3 - 61312*t**2 - 445440*t - 861184.
-4*(t + 4)**2*(t + 116)**2
Factor -z**3/5 - 309*z**2/5 - 123*z - 307/5.
-(z + 1)**2*(z + 307)/5
Factor -s**2/4 - 323*s/2 - 104329/4.
-(s + 323)**2/4
Factor 16*x**3/7 - 72*x**2/7 - 135*x/7 - 54/7.
(x - 6)*(4*x + 3)**2/7
Suppose m**2 + 30*m - 64 = 0. What is m?
-32, 2
Suppose -49*s**3/5 - 847*s**2/5 - 591*s - 585 = 0. What is s?
-13, -15/7
Factor 2*y**4 - 12*y**3 - 32*y**2.
2*y**2*(y - 8)*(y + 2)
Factor 5*k**3 - 15*k**2 + 10*k.
5*k*(k - 2)*(k - 1)
Determine b, given that -4*b**5/5 + 232*b**4/5 - 716*b**3 + 1208*b**2 + 3584*b/5 - 6272/5 = 0.
-1, 1, 2, 28
Factor -5*v**2 - 15*v - 10.
-5*(v + 1)*(v + 2)
Solve -3*d**2 + 133*d + 376 = 0.
-8/3, 47
Factor -u**3 - 96*u**2 - 3072*u - 32768.
-(u + 32)**3
Let 2*u**3/13 + 118*u**2/13 + 848*u/13 + 1632/13 = 0. Calculate u.
-51, -4
Factor -2*i**2/11 + 10236*i/11 - 13096962/11.
-2*(i - 2559)**2/11
Factor 3*a**3 + 696*a**2 - 1401*a + 702.
3*(a - 1)**2*(a + 234)
Suppose 2*q**3/5 - 26*q**2/5 - 268*q/5 - 48 = 0. Calculate q.
-6, -1, 20
Find r, given that 3*r**4/7 - 39*r**3/7 + 141*r**2/7 - 177*r/7 + 72/7 = 0.
1, 3, 8
Determine q so that 59858*q**2 + 692*q/3 + 2/9 = 0.
-1/519
Factor -z**2/2 - 158*z - 12482.
-(z + 158)**2/2
Suppose -2*v**2 - 6*v + 216 = 0. Calculate v.
-12, 9
Suppose -4*d**3 + 136*d**2 - 896*d + 1664 = 0. Calculate d.
4, 26
Factor d**2 + 83*d - 440.
(d - 5)*(d + 88)
Suppose -26*x**5 - 82*x**4 - 64*x**3 - 8*x**2 = 0. What is x?
-2, -1, -2/13, 0
Let -102*a**3/11 + 98*a**2/11 + 1228*a/11 + 48/11 = 0. What is a?
-3, -2/51, 4
Suppose 2*t**2/13 + 314*t/13 - 312 = 0. What is t?
-169, 12
Solve 4*p**5 - 188*p**4 + 1660*p**3 - 2772*p**2 + 1296*p = 0.
0, 1, 9, 36
Determine j, given that 2*j**2/9 - 1976*j/9 + 488072/9 = 0.
494
Factor 2*p**5/17 + 350*p**4/17 - 1420*p**3/17 + 2140*p**2/17 - 1430*p/17 + 358/17.
2*(p - 1)**4*(p + 179)/17
Factor 2*c**3/3 + 26*c**2/3 - 92*c/3 + 64/3.
2*(c - 2)*(c - 1)*(c + 16)/3
Find t such that -t**4/3 + 2*t**3/3 + 8*t**2/3 = 0.
-2, 0, 4
Factor a**3 + a**2 - a - 1.
(a - 1)*(a + 1)**2
Solve 345*q**5 - 39*q**4 - 765*q**3 + 3*q**2 + 420*q + 36 = 0.
-1, -2/23, 1, 6/5
Find g, given that -3*g**5 - 9*g**4 + 90*g**3 + 384*g**2 + 288*g = 0.
-4, -1, 0, 6
Suppose 25*i**4/4 - 2655*i**3/2 - 8579*i**2/4 + 1017*i - 107 = 0. Calculate i.
-2, 1/5, 214
Determine k so that -k**3/7 - 9*k**2/7 - 24*k/7 - 16/7 = 0.
-4, -1
Factor 2*i**3/3 + 98*i**2/9 + 32*i/9.
2*i*(i + 16)*(3*i + 1)/9
Solve -h**2/5 - 278*h - 96605 = 0 for h.
-695
Find r, given that r**2/2 - 169*r/2 = 0.
0, 169
Let 4*v**4 - 4*v**3 - 40*v**2 - 32*v = 0. Calculate v.
-2, -1, 0, 4
Factor -14*i**3/3 + 68*i**2/3 + 94*i/3 + 4.
-2*(i - 6)*(i + 1)*(7*i + 1)/3
Factor 4*b**3 - b**2 - 4*b + 1.
(b - 1)*(b + 1)*(4*b - 1)
Determine c so that 3*c**4 - 30*c**3 + 36*c**2 + 174*c + 105 = 0.
-1, 5, 7
Factor -4*w**2 + 112*w - 208.
-4*(w - 26)*(w - 2)
Determine z, given that 3*z**2 + 144*z + 1728 = 0.
-24
Factor -4*g**2 + 280*g - 1536.
-4*(g - 64)*(g - 6)
Factor 2*d**2/9 - 196*d/9 + 368/3.
2*(d - 92)*(d - 6)/9
Factor 4*g**3 - 10*g**2 + 4*g.
2*g*(g - 2)*(2*g - 1)
Let -i**5/2 + 3*i**3/2 - i**2 = 0. Calculate i.
-2, 0, 1
Factor 2*f**4 + 17*f**3 + 41*f**2 + 30*f.
f*(f + 2)*(f + 5)*(2*f + 3)
Factor -5*r**2 - 275*r.
-5*r*(r + 55)
Solve n**3 + 11*n**2 + 19*n + 9 = 0.
-9, -1
Let g**5/4 + 22*g**4 + 339*g**3/4 + 63*g**2 = 0. What is g?
-84, -3, -1, 0
Determine j so that -4*j**3/3 - 95*j**2/3 - 638*j/3 - 847/3 = 0.
-11, -7/4
Factor 5*n**2 + 1455*n.
5*n*(n + 291)
Let 5*h**4 - 20*h**3 - 195*h**2 - 270*h = 0. What is h?
-3, -2, 0, 9
Find j such that 35*j**3 - 760*j**2 - 1035*j = 