- 40*w**3 + 20*w**2 = 0.
0, 1, 2
Factor z**4/4 + z**3 - 3*z**2/4 - 7*z/2 - 2.
(z - 2)*(z + 1)**2*(z + 4)/4
Find x, given that -2*x**2/5 - 16*x = 0.
-40, 0
Factor -v**2/2 + 1259*v/2.
-v*(v - 1259)/2
Find k such that -8*k**4/5 + 334*k**3/5 - 228*k**2/5 - 734*k/5 - 164/5 = 0.
-1, -1/4, 2, 41
Factor z**4 + 23*z**3 - 49*z**2 + 25*z.
z*(z - 1)**2*(z + 25)
Find g such that 2*g**2 + 22*g - 84 = 0.
-14, 3
Let 4*h**3 + 264*h**2 + 4608*h + 8192 = 0. Calculate h.
-32, -2
Suppose 3*s**2/4 - 45*s/2 + 675/4 = 0. Calculate s.
15
Find u such that 3*u**4 + 44*u**3 + 9*u**2 - 260*u + 84 = 0.
-14, -3, 1/3, 2
Suppose 2*m**4/11 + 124*m**3/11 - 384*m**2/11 + 388*m/11 - 130/11 = 0. What is m?
-65, 1
Factor 2*j**4 + 44*j**3 - 50*j**2 - 92*j.
2*j*(j - 2)*(j + 1)*(j + 23)
Find l, given that 3*l**5 - 75*l**4/2 + 87*l**3 + 147*l**2/2 - 54*l = 0.
-1, 0, 1/2, 4, 9
Factor s**2 + 39*s.
s*(s + 39)
Factor w**3 + 22*w**2 + 140*w + 200.
(w + 2)*(w + 10)**2
Find c such that -12*c**5/5 - 728*c**4/5 + 6384*c**3/5 + 534496*c**2/5 - 6147072*c/5 - 4333568/5 = 0.
-46, -2/3, 16
Solve 2*j**3/9 + 98*j**2/3 + 580*j/9 = 0 for j.
-145, -2, 0
Factor t**5/8 + 7*t**4/4 + 19*t**3/2 + 99*t**2/4 + 243*t/8 + 27/2.
(t + 1)*(t + 3)**3*(t + 4)/8
Factor f**4/3 + 68*f**3/3 + 1222*f**2/3 + 748*f + 363.
(f + 1)**2*(f + 33)**2/3
Solve v**3/2 + 379*v**2/2 + 33735*v/2 - 418275/2 = 0.
-195, 11
Factor 2*s**3/3 - 56*s**2/3.
2*s**2*(s - 28)/3
Determine s, given that 5*s**2/4 + 1245*s = 0.
-996, 0
Factor 2*g**4/7 + 11832*g**3/7 + 26249292*g**2/7 + 25881801912*g/7 + 9569796256962/7.
2*(g + 1479)**4/7
Determine c so that -4*c**5 - 32*c**4 + 104*c**3 + 688*c**2 - 1540*c + 784 = 0.
-7, 1, 4
Factor -2*l**3 + 238*l**2 - 236*l.
-2*l*(l - 118)*(l - 1)
Factor -3*q**4/4 + 177*q**3/2 - 11127*q**2/4 + 10089*q - 9747.
-3*(q - 57)**2*(q - 2)**2/4
Solve -3*m**2/2 + 240*m + 483/2 = 0.
-1, 161
Suppose -22*u**4/7 - 62*u**3/7 + 30*u**2 - 146*u/7 + 20/7 = 0. What is u?
-5, 2/11, 1
Solve 5*b**3 + 72885*b**2 + 354148215*b + 573602058895 = 0.
-4859
What is k in 2*k**4/11 - 28*k**3/11 - 134*k**2/11 - 16*k - 72/11 = 0?
-2, -1, 18
Find g such that 22*g**2 - 106*g - 20 = 0.
-2/11, 5
Factor 3*c**2 - 4560*c - 9132.
3*(c - 1522)*(c + 2)
Solve -4*w**5/5 + 44*w**4/5 + 8*w**3/5 - 88*w**2/5 - 4*w/5 + 44/5 = 0.
-1, 1, 11
Suppose -o**5/7 - o**4 + 25*o**3/7 + 67*o**2/7 + 36*o/7 = 0. Calculate o.
-9, -1, 0, 4
Factor 6*g**4 - 2697*g**3 - 1350*g**2.
3*g**2*(g - 450)*(2*g + 1)
Factor -5*q**4/4 - 2*q**3 - q**2/4 + q/2.
-q*(q + 1)**2*(5*q - 2)/4
Factor 2*c**2/9 - 40*c/9 + 38/9.
2*(c - 19)*(c - 1)/9
Factor -b**2/8 - 5*b/8 - 1/2.
-(b + 1)*(b + 4)/8
Let j**5/6 - j**4/2 - 3*j**3/2 - 5*j**2/6 = 0. What is j?
-1, 0, 5
Factor 2*r**2/11 + 92*r/11 - 90.
2*(r - 9)*(r + 55)/11
Factor -3*q**2 - 144*q - 1728.
-3*(q + 24)**2
Factor 2*i**2 + 5848*i + 4274888.
2*(i + 1462)**2
Factor 3*t**3 - 2784*t**2 + 643095*t + 1297350.
3*(t - 465)**2*(t + 2)
Factor -4*x**2 - 728*x.
-4*x*(x + 182)
Factor 3*n**4/5 - 42*n**3/5 - 93*n**2/5 - 48*n/5.
3*n*(n - 16)*(n + 1)**2/5
Solve 2*v**5/3 - 20*v**4 - 62*v**3/3 = 0.
-1, 0, 31
Determine t so that t**5/7 - 5*t**4/7 - 29*t**3/7 + 37*t**2/7 + 4*t - 32/7 = 0.
-4, -1, 1, 8
Determine r so that -3*r**5/7 + 15*r**4/7 + 171*r**3/7 + 285*r**2/7 + 132*r/7 = 0.
-4, -1, 0, 11
Factor 192*z**2 + 624*z + 507.
3*(8*z + 13)**2
Factor -5*q**4 - 30*q**3 - 40*q**2.
-5*q**2*(q + 2)*(q + 4)
Factor 3*w**5 - 9*w**4 - 3*w**3 + 9*w**2.
3*w**2*(w - 3)*(w - 1)*(w + 1)
Let 2*u**2/3 + 676*u + 171366 = 0. What is u?
-507
Suppose -8*m**4/3 - 4*m**3 + 236*m**2/3 + 232*m + 96 = 0. Calculate m.
-4, -3, -1/2, 6
Factor -f**3/3 + 1873*f**2/3.
-f**2*(f - 1873)/3
Find o such that 9*o**5 + 63*o**4 + 62*o**3 - 180*o**2 - 168*o + 160 = 0.
-5, -2, 2/3, 4/3
Factor -i**3 - 25*i**2 - 164*i - 140.
-(i + 1)*(i + 10)*(i + 14)
Factor f**4/3 + 13*f**3 + 358*f**2/3 - 160*f - 800/3.
(f - 2)*(f + 1)*(f + 20)**2/3
Factor -2*j**4 + 50*j**3 - 334*j**2 + 286*j.
-2*j*(j - 13)*(j - 11)*(j - 1)
Factor 2*z**2 + 196*z + 194.
2*(z + 1)*(z + 97)
Let 5*o**4/3 + 10*o**3 + 65*o**2/3 + 20*o + 20/3 = 0. Calculate o.
-2, -1
Let 57*a**5/2 - 27*a**4 - 30*a**3 + 27*a**2 + 3*a/2 = 0. Calculate a.
-1, -1/19, 0, 1
Factor c**2/9 - 14*c/9 + 11/3.
(c - 11)*(c - 3)/9
Determine j so that -j**2 - 117*j - 666 = 0.
-111, -6
Let h**5/4 - 2*h**4 - 17*h**3/2 + 2*h**2 + 33*h/4 = 0. Calculate h.
-3, -1, 0, 1, 11
Find j such that -j**2 + 5*j + 50 = 0.
-5, 10
What is p in -p**2 + 20*p + 21 = 0?
-1, 21
Solve -6*i**3 - 22*i**2/3 + 10*i/3 + 14/3 = 0 for i.
-1, 7/9
Factor o**4/9 + 85*o**3/9 + 643*o**2/3 + 5207*o/9 + 3362/9.
(o + 1)*(o + 2)*(o + 41)**2/9
Factor i**3/8 + 21*i**2/8 + 55*i/4.
i*(i + 10)*(i + 11)/8
Factor -2*n**3 + 136*n**2 - 2170*n - 4900.
-2*(n - 35)**2*(n + 2)
What is k in 7*k**4/4 + 41*k**3/2 + 11*k**2/4 - 118*k + 33 = 0?
-11, -3, 2/7, 2
Factor -2*u**2/5 - 3364*u/5 - 1414562/5.
-2*(u + 841)**2/5
Factor 2*p**3/7 + 24*p**2/7 + 72*p/7 + 64/7.
2*(p + 2)**2*(p + 8)/7
Let 3*z**3/10 + 14*z**2/5 - 47*z/2 + 30 = 0. Calculate z.
-15, 5/3, 4
Factor -4*w**3 - 52*w**2 - 88*w.
-4*w*(w + 2)*(w + 11)
Determine h so that h**4/6 + 3*h**3/2 - 15*h**2/2 - 113*h/6 - 10 = 0.
-12, -1, 5
Factor 3*s**2/5 + 234*s/5 + 4563/5.
3*(s + 39)**2/5
Suppose s**2 + 284*s = 0. What is s?
-284, 0
Suppose -j**2/4 + j/4 + 1/2 = 0. Calculate j.
-1, 2
Solve -2*n**5 - 10*n**4 + 50*n**3 + 130*n**2 - 240*n - 504 = 0 for n.
-7, -2, 3
Solve -3*d**4 - 21*d**3 - 12*d**2 + 36*d = 0.
-6, -2, 0, 1
Solve -j**3 - j**2 = 0 for j.
-1, 0
Solve -2*r**2/13 - 40*r/13 - 14 = 0.
-13, -7
Find q such that -10*q**4 - 22*q**3 + 146*q**2 + 390*q + 72 = 0.
-3, -1/5, 4
Let 5*f**4 - 25*f**3 = 0. What is f?
0, 5
Factor t**2 + 340*t + 28900.
(t + 170)**2
Find u, given that 2*u**4/13 + 192*u**3/13 + 4208*u**2/13 - 19200*u/13 + 20000/13 = 0.
-50, 2
Factor 5*u**4 + 205*u**3 + 585*u**2 + 575*u + 190.
5*(u + 1)**3*(u + 38)
Factor 5*f**4 - 130*f**3 + 960*f**2 - 1440*f.
5*f*(f - 12)**2*(f - 2)
Find c such that -c**3 + 7*c**2 - 8*c - 16 = 0.
-1, 4
What is q in 2*q**3/3 + 4*q**2 + 22*q/3 + 4 = 0?
-3, -2, -1
Factor 5*w**2 + 7260*w + 2635380.
5*(w + 726)**2
Solve 5*p**3 - 15*p**2 + 20 = 0.
-1, 2
Factor 74*x**3/5 + 218*x**2/5 - 12*x/5.
2*x*(x + 3)*(37*x - 2)/5
Suppose 2*w**5/5 + 16*w**4/5 + 6*w**3 - 16*w**2/5 - 32*w/5 = 0. What is w?
-4, -1, 0, 1
Suppose 4*p**4/5 + 4*p**3/5 - 4*p**2/5 - 4*p/5 = 0. Calculate p.
-1, 0, 1
Solve d**3/5 + 216*d**2/5 + 2289*d - 23762/5 = 0.
-109, 2
Find t such that 4*t**2/5 + 280*t + 1396/5 = 0.
-349, -1
What is i in 2*i**3/7 - 40*i**2/7 + 38*i/7 = 0?
0, 1, 19
Factor -d**2/5 + 54*d/5 + 11.
-(d - 55)*(d + 1)/5
Suppose -2*n**4/5 - n**3 + 48*n**2/5 + 25*n + 10 = 0. Calculate n.
-5, -2, -1/2, 5
Suppose -b**5 - 5*b**4 - 6*b**3 + 4*b**2 + 8*b = 0. What is b?
-2, 0, 1
Find d, given that -d**2/2 - 91*d/2 + 46 = 0.
-92, 1
Let 6*y**2 - 5554*y + 3700 = 0. Calculate y.
2/3, 925
Factor d**3/3 + 2*d**2/3 - 8*d.
d*(d - 4)*(d + 6)/3
Determine b so that -b**3 + 53*b**2/5 - 68*b/5 - 36/5 = 0.
-2/5, 2, 9
Factor c**3 + 21*c**2 + 20*c.
c*(c + 1)*(c + 20)
Factor 2*v**4/5 - 28*v**3/5 + 24*v**2 - 164*v/5 + 14.
2*(v - 7)*(v - 5)*(v - 1)**2/5
Determine n, given that -3*n**5/2 + 16*n**4 - 4*n**3 - 64*n**2 + 40*n = 0.
-2, 0, 2/3, 2, 10
What is l in -4*l**3/3 + 12*l**2 + 64*l + 208/3 = 0?
-2, 13
Factor -4*j**4 - 324*j**3 - 6396*j**2 + 6724*j.
-4*j*(j - 1)*(j + 41)**2
Solve -5*g**4 + 550*g**3 - 15125*g**2 = 0 for g.
0, 55
Determine w so that -5*w**4/4 - 205*w**3/4 - 385*w**2/4 + 205*w/4 + 195/2 = 0.
-39, -2, -1, 1
Suppose -b**2/11 + 6*b/11 + 16/11 = 0. Calculate b.
-2, 8
Factor k**2/2 + 26*k + 338.
(k + 26)**2/2
Factor -26*y**2/7 + 134*y/7 - 20/7.
-2*(y - 5)*(13*y - 2)/7
Suppose 7*o**4/4 + 17*o**3/4 = 0. What is o?
-17/7, 0
Let -4*r**4 - 112*r**3 - 724*r**2 - 1752*r - 1440 = 0. Calculate r.
-20, -3, -2
Factor 2*y**2/17 + 542*y/17 - 32.
2*(y - 1)*(y + 272)/17
Suppose -4*o**4 - 104*o**3 - 672*o**2 + 104*o + 676 = 0. What is o?
-13, -1, 1
Factor -16*n**4 - 760*n**3 + 2023*n**2 + 1153*n + 150.
-(n - 3)*(n + 50)*(4*n + 1)**2
Factor -2*s**3 - 78*s**2 - 720*s - 1944.
-2*(s + 6)**2*(s + 27)
Suppose 3*o**2 - 60*o + 108 = 0. Calculate o.
2, 18
Factor 8*s**3 - 27952*s**2 + 27946*s - 6986.
2*(s - 3493)*(2*s - 1)**2
Let 2*m**3/11 + 40*m**2/11 + 200*m/11 = 0. What is m?
-10, 0
Factor v**3/2 + 14*v**2 + 77*v/2 + 2