ctor -12*s**3/5 - 206*s**2/5 - 792*s/5 + 162.
-2*(s + 9)**2*(6*s - 5)/5
Factor -w**2 + 10*w - 9.
-(w - 9)*(w - 1)
Solve 3*k**5/4 - 9*k**4/2 + 3*k**3/2 + 12*k**2 - 9*k/4 - 15/2 = 0.
-1, 1, 2, 5
Factor k**4/9 - 23*k**3/9 - 227*k**2/9 - 211*k/3 - 62.
(k - 31)*(k + 2)*(k + 3)**2/9
Suppose -5*p**3/3 + 8*p**2/3 + 4*p/3 = 0. What is p?
-2/5, 0, 2
Find q, given that -4*q**2/3 + 272*q - 13872 = 0.
102
Factor -5*v**3 - 150*v**2.
-5*v**2*(v + 30)
Factor 64*i**3 - 4*i.
4*i*(4*i - 1)*(4*i + 1)
Determine a, given that -410*a**2 - 225*a - 10 = 0.
-1/2, -2/41
Suppose -3*j**2/2 + 24*j + 54 = 0. Calculate j.
-2, 18
Factor -n**2/8 + 239*n/8 - 119/4.
-(n - 238)*(n - 1)/8
Factor -4*q**2/5 - 1224*q/5 + 1228/5.
-4*(q - 1)*(q + 307)/5
Let -2*l**4/5 - 8*l**3/5 = 0. Calculate l.
-4, 0
Let a**4/3 + 14*a**3/3 + 23*a**2 + 48*a + 36 = 0. What is a?
-6, -3, -2
Suppose -25*t**4 - 90*t**3 + 415*t**2 + 300*t - 180 = 0. Calculate t.
-6, -1, 2/5, 3
Factor -5*n**4 - 360*n**3 - 4305*n**2 - 14210*n.
-5*n*(n + 7)**2*(n + 58)
Suppose 2*b**5/5 + b**4/5 - 2*b**3 - b**2 + 8*b/5 + 4/5 = 0. Calculate b.
-2, -1, -1/2, 1, 2
Find h such that 5*h**3 + 15*h**2 + 10*h = 0.
-2, -1, 0
Factor 4*z**4 - 68*z**3 + 380*z**2 - 700*z.
4*z*(z - 7)*(z - 5)**2
Find o, given that -4*o**4 + 40*o**3 + 100*o**2 - 40*o - 96 = 0.
-2, -1, 1, 12
Factor -4*o**2 + 40*o + 44.
-4*(o - 11)*(o + 1)
What is j in 2*j**3/9 - 2*j**2/9 - 2*j/9 + 2/9 = 0?
-1, 1
Factor x**5/3 - 2*x**4/3 - 8*x**3/3.
x**3*(x - 4)*(x + 2)/3
Solve -10*s**4 - 1405*s**3 - 48270*s**2 + 77035*s + 50410 = 0.
-71, -1/2, 2
Factor -2*b**4 + 242*b**3 - 9840*b**2 + 137600*b - 128000.
-2*(b - 40)**3*(b - 1)
Factor -2*m**3/15 - 4*m**2/3 - 56*m/15 - 16/5.
-2*(m + 2)**2*(m + 6)/15
Solve 2*a**4/5 - 448*a**3/5 + 24634*a**2/5 + 51076*a/5 = 0.
-2, 0, 113
Factor 15*s**5 - 171*s**4 - 108*s**3.
3*s**3*(s - 12)*(5*s + 3)
Let -n**3 - 129*n**2 - 4347*n - 11907 = 0. What is n?
-63, -3
Let 6*g**5/7 - 32*g**4/7 + 54*g**3/7 - 20*g**2/7 - 24*g/7 + 16/7 = 0. Calculate g.
-2/3, 1, 2
Suppose -5*m**5 - 20*m**4 - 20*m**3 + 10*m**2 + 25*m + 10 = 0. What is m?
-2, -1, 1
Suppose 4*h**2 - 4176*h + 8336 = 0. Calculate h.
2, 1042
Factor -t**2/5 + 14*t/5 - 8.
-(t - 10)*(t - 4)/5
Factor -5*h**3 - 140*h**2 - 265*h - 130.
-5*(h + 1)**2*(h + 26)
Solve -2*w**5/7 - 2*w**4/7 + 62*w**3/7 - 22*w**2/7 - 228*w/7 - 144/7 = 0.
-6, -1, 3, 4
Suppose -2*c**5/11 + 180*c**4/11 + 740*c**3/11 + 1120*c**2/11 + 750*c/11 + 188/11 = 0. What is c?
-1, 94
Factor 2*y**2/13 - 506*y/13 + 504/13.
2*(y - 252)*(y - 1)/13
Factor r**3 - 2*r**2 - 48*r.
r*(r - 8)*(r + 6)
Factor -2*t**5/17 + 6*t**3/17 + 4*t**2/17.
-2*t**2*(t - 2)*(t + 1)**2/17
Factor -3*m**2 - 69*m - 66.
-3*(m + 1)*(m + 22)
Factor 4*l**2/9 + 308*l/9 + 296/3.
4*(l + 3)*(l + 74)/9
What is a in -4*a**2/5 + 2796*a/5 - 2792/5 = 0?
1, 698
Factor 5*o**2 + 20110*o + 20220605.
5*(o + 2011)**2
Let 3*m**3 + 378*m**2 + 14355*m + 145200 = 0. Calculate m.
-55, -16
Determine f so that -f**5/5 - 4*f**4/5 - 3*f**3/5 + 4*f**2/5 + 4*f/5 = 0.
-2, -1, 0, 1
Factor -2*a**2 - 26*a - 24.
-2*(a + 1)*(a + 12)
Factor -3*d**4 - 7*d**3 - 2*d**2.
-d**2*(d + 2)*(3*d + 1)
Determine b so that 5*b**2 + 220*b = 0.
-44, 0
Factor z**2/4 - 53*z/2 - 704.
(z - 128)*(z + 22)/4
What is l in -3*l**4 + 78*l**3 + 165*l**2 + 84*l = 0?
-1, 0, 28
Factor -4*b**2/7 - 88*b - 3388.
-4*(b + 77)**2/7
Determine w, given that -3*w**2/4 - 3*w/4 + 9 = 0.
-4, 3
Let -a**4 + 7*a**3 + 56*a**2 + 48*a = 0. What is a?
-4, -1, 0, 12
Let 3*b**5 + 27*b**4 + 33*b**3 - 63*b**2 = 0. What is b?
-7, -3, 0, 1
Factor -3*q**5 - 657*q**4 - 1953*q**3 - 1947*q**2 - 648*q.
-3*q*(q + 1)**3*(q + 216)
Find t such that -4*t**3 - 23*t**2 - 30*t + 9 = 0.
-3, 1/4
Find y, given that y**4/4 - 19*y**3/2 - 3*y**2/4 + 28*y + 19 = 0.
-1, 2, 38
Factor 4*s**2/9 + 206*s/9 + 34/3.
2*(s + 51)*(2*s + 1)/9
Find w such that -3*w**2/2 - 1614*w + 3234 = 0.
-1078, 2
Suppose -c**2 - 718*c = 0. What is c?
-718, 0
Find o such that -245*o**4 - 1085*o**3 + 4110*o**2 - 2060*o + 280 = 0.
-7, 2/7, 2
Solve 5*r**5 + 5*r**4 - 155*r**3 - 5*r**2 + 150*r = 0.
-6, -1, 0, 1, 5
Factor -r**2/10 - 21*r/10 - 27/5.
-(r + 3)*(r + 18)/10
Find t, given that 8*t**5 - 28*t**4 - 132*t**3 + 392*t**2 - 160*t = 0.
-4, 0, 1/2, 2, 5
Factor n**4/5 + 29*n**3/5 + 30*n**2 + 284*n/5 + 184/5.
(n + 2)**3*(n + 23)/5
Factor -q**2/8 - 5349*q/8 - 1337/2.
-(q + 1)*(q + 5348)/8
Factor a**3/9 - 7*a**2/9 - 17*a/9 - 1.
(a - 9)*(a + 1)**2/9
Let 25*l**5 + 185*l**4 + 200*l**3 - 740*l**2 - 1200*l = 0. Calculate l.
-5, -12/5, -2, 0, 2
Factor -4*h**4/9 + 28*h**3/3 + 88*h**2/9.
-4*h**2*(h - 22)*(h + 1)/9
Let x**3/2 + 14*x**2 + 53*x/2 + 13 = 0. Calculate x.
-26, -1
What is t in 2*t**4/11 - 12*t**3/11 + 16*t**2/11 = 0?
0, 2, 4
Solve -m**2 - 1319*m - 1318 = 0 for m.
-1318, -1
Find a such that 16*a**3 + 436*a**2 - 336*a = 0.
-28, 0, 3/4
Factor t**4 - 47*t**3 + 618*t**2 - 1540*t + 968.
(t - 22)**2*(t - 2)*(t - 1)
Find t such that -4*t**3 + 8*t**2 + 32*t = 0.
-2, 0, 4
Determine k so that 3*k**4/5 - 24*k**3/5 + 69*k**2/5 - 84*k/5 + 36/5 = 0.
1, 2, 3
Factor 5*k**3 + 43165*k**2 + 93182440*k + 93139280.
5*(k + 1)*(k + 4316)**2
Solve -12*t**4/5 - 64*t**3/5 + 244*t**2/5 - 104*t/5 - 64/5 = 0 for t.
-8, -1/3, 1, 2
Factor 36*y**3 - 24*y**2 - 11*y - 1.
(y - 1)*(6*y + 1)**2
Factor t**2 + 3134*t + 2455489.
(t + 1567)**2
Suppose -2*v**3/3 - 41*v**2/3 + 7*v = 0. What is v?
-21, 0, 1/2
Suppose r**4/4 + 11*r**3/2 + 37*r**2 + 117*r/2 - 405/4 = 0. What is r?
-9, -5, 1
Factor 2*z**2/3 - 8*z - 128/3.
2*(z - 16)*(z + 4)/3
Factor -t**5/4 + 5*t**4 - 13*t**3 - 120*t**2 - 144*t.
-t*(t - 12)**2*(t + 2)**2/4
Factor 54*p**2 - 105*p - 6.
3*(p - 2)*(18*p + 1)
Find w such that 6*w**2/5 - 102*w/5 - 504/5 = 0.
-4, 21
Find r, given that 5*r**4 + 1160*r**3 - 4700*r**2 + 4720*r = 0.
-236, 0, 2
Let -r**3/2 + 27*r**2/2 + r/2 - 27/2 = 0. Calculate r.
-1, 1, 27
Factor -5*u**4 + 35*u**3 - 20*u**2 - 60*u.
-5*u*(u - 6)*(u - 2)*(u + 1)
Factor 34*h**2/15 - 134*h/15 - 8/15.
2*(h - 4)*(17*h + 1)/15
Solve y**4/3 + 5*y**3 + 21*y**2 + 27*y = 0.
-9, -3, 0
Suppose 2*l**2/9 - 2992*l/9 + 1119008/9 = 0. What is l?
748
Let -3*x**4 + 4*x**3 + 110*x**2 + 68*x - 35 = 0. Calculate x.
-5, -1, 1/3, 7
Find h such that 3*h**3 - 15*h**2 + 9*h + 27 = 0.
-1, 3
What is l in -2*l**2/9 + 28*l/9 + 10/3 = 0?
-1, 15
Factor -5*h**4 + 155*h**3 - 290*h**2.
-5*h**2*(h - 29)*(h - 2)
What is z in -2*z**3/13 - 28*z**2 - 1078*z/13 - 716/13 = 0?
-179, -2, -1
Find s such that 5*s**4 + 405*s**3 + 9720*s**2 + 58320*s = 0.
-36, -9, 0
Factor -2*p**3/13 - 122*p**2/13 + 252*p/13.
-2*p*(p - 2)*(p + 63)/13
Determine l, given that -3*l**2 + 27*l + 108 = 0.
-3, 12
Factor 11*p**2/4 - 95*p/4 + 21.
(p - 1)*(11*p - 84)/4
Factor -r**3/2 - 34*r**2 + 371*r/2 + 219.
-(r - 6)*(r + 1)*(r + 73)/2
Let -2*z**3/3 - 88*z**2/3 - 1258*z/3 - 5780/3 = 0. Calculate z.
-17, -10
Find j, given that 4*j**5 + 28*j**4 + 60*j**3 + 36*j**2 = 0.
-3, -1, 0
Suppose 160*j**2/11 - 48*j/11 + 2/11 = 0. What is j?
1/20, 1/4
Factor r**3/6 + 677*r**2/3 + 229840*r/3 + 456976/3.
(r + 2)*(r + 676)**2/6
Factor -3*d**3/2 + 351*d**2 - 39627*d/2 - 84966.
-3*(d - 119)**2*(d + 4)/2
Let -2*q**3 - 12*q**2 - 16*q = 0. What is q?
-4, -2, 0
Determine l so that -l**4/5 + l**3/5 + 9*l**2/5 - 9*l/5 = 0.
-3, 0, 1, 3
Solve -36*y**4 + 14208*y**3 - 23548*y**2 - 12640*y + 25152 = 0 for y.
-1, 4/3, 393
Solve 6498*m**4/13 - 8626*m**3/13 + 2298*m**2/13 - 174*m/13 + 4/13 = 0 for m.
1/19, 2/9, 1
Solve -5*y**3 - 120*y**2 - 220*y = 0 for y.
-22, -2, 0
Let -2*x**4/3 + 38*x**3/3 + 50*x**2 - 406*x/3 + 220/3 = 0. What is x?
-5, 1, 22
Factor 3*s**2/4 + 21*s/4 - 6.
3*(s - 1)*(s + 8)/4
Factor u**2/7 + 11*u/7.
u*(u + 11)/7
Solve -3*s**5 - 11*s**4 - 8*s**3 + 4*s**2 = 0 for s.
-2, 0, 1/3
Determine c so that -3*c**2 + 78*c - 315 = 0.
5, 21
Solve -3*j**2 - 336*j - 9408 = 0.
-56
Factor 27*i**3/5 - 558*i**2/5 - 156*i - 264/5.
3*(i - 22)*(3*i + 2)**2/5
Suppose 2*x**2/13 + 3712*x/13 + 1722368/13 = 0. What is x?
-928
Factor -20*n**4 - 4085*n**3 + 3075*n**2.
-5*n**2*(n + 205)*(4*n - 3)
Factor -z**2/3 + 10828*z/3 - 29311396/3.
-(z - 5414)**2/3
Find g such that 2*g**2/17 - 60*g/17 - 62/17 = 0.
-1, 31
Factor p**2 + 3*p - 10.
(p - 2)*(p + 5)
What is x in 5*x**2 + 460*x + 10580 = 0?
-46
Factor -w**5/3 + 4*w**4/3 + 6*w**3 + 20*w**2/3 + 7*w/3.
-w*(w - 7)*(w + 1)**3/3
Solve -a**2/2 - 330*a + 661/2