0?
-14, -1, 1, 2
Factor 6*k**4 + 579*k**3 - 879*k**2 + 294*k.
3*k*(k - 1)*(k + 98)*(2*k - 1)
Factor -23*u**4 - 21*u**3 + 2*u**2.
-u**2*(u + 1)*(23*u - 2)
Determine a so that 5*a**5 + 5*a**4 - 905*a**3 - 6545*a**2 - 11760*a = 0.
-7, -3, 0, 16
Solve 15*i**3 - 85*i**2 - 260*i - 160 = 0 for i.
-4/3, -1, 8
Factor r**4 - r**3 - 9*r**2 - 11*r - 4.
(r - 4)*(r + 1)**3
Find n, given that -n**2 + 2350*n - 1380625 = 0.
1175
Factor -4*z**4 + 60*z**3 - 48*z**2 - 112*z.
-4*z*(z - 14)*(z - 2)*(z + 1)
Solve -160*q**3/3 - 326*q**2/3 - 172*q/3 - 2 = 0 for q.
-1, -3/80
Suppose q**5 + 225*q**4/4 + 69*q**3 + 55*q**2/4 = 0. What is q?
-55, -1, -1/4, 0
Factor -4*j**3 - 56*j**2 + 60*j.
-4*j*(j - 1)*(j + 15)
Factor n**2/2 - 51*n - 104.
(n - 104)*(n + 2)/2
Solve 9*k**3 + 66*k**2 + 75*k + 18 = 0.
-6, -1, -1/3
Determine a so that -6*a**4/23 + 2*a**3 + 56*a**2/23 - 776*a/23 + 480/23 = 0.
-4, 2/3, 5, 6
Factor -w**2/9 + 2*w - 32/9.
-(w - 16)*(w - 2)/9
Factor -49*l**3/6 + 7*l**2/2 + 60*l - 72.
-(l + 3)*(7*l - 12)**2/6
Factor -5*i**3 + 11115*i**2 - 8236215*i + 2034345105.
-5*(i - 741)**3
Factor -t**2/4 + 2501*t/4.
-t*(t - 2501)/4
Determine k, given that -k**4 + 7*k**3 - 14*k**2 + 8*k = 0.
0, 1, 2, 4
Find f such that -10*f**2/23 + 354*f/23 - 140/23 = 0.
2/5, 35
Factor -7*k**3 + 54*k**2 - 96*k - 32.
-(k - 4)**2*(7*k + 2)
Factor -2*g**2/7 + 596*g/7 - 594/7.
-2*(g - 297)*(g - 1)/7
Suppose -w**2/5 + 117*w/5 = 0. What is w?
0, 117
Find f, given that -4*f**5 + 424*f**4 - 2824*f**3 + 5136*f**2 + 1260*f - 7128 = 0.
-1, 2, 3, 99
Factor 2*o**2/7 + 4*o.
2*o*(o + 14)/7
Solve 4*x**2 - 5488*x + 1882384 = 0 for x.
686
Let h**2/5 + 11*h/5 - 12/5 = 0. What is h?
-12, 1
Determine f so that -2*f**2/11 - 32*f - 1408 = 0.
-88
Factor -3*c**3 + 438*c**2 - 1689*c - 2130.
-3*(c - 142)*(c - 5)*(c + 1)
Solve 2*s**3/5 - 438*s**2/5 + 174*s - 434/5 = 0.
1, 217
Factor -p**4/4 - 9*p**3 - 81*p**2.
-p**2*(p + 18)**2/4
Factor -2*g**3/5 - 9*g**2 + 123*g/5 - 10.
-(g - 2)*(g + 25)*(2*g - 1)/5
Factor t**2/7 - 42*t.
t*(t - 294)/7
Find g, given that -g**2/11 - 2644*g/11 - 5284/11 = 0.
-2642, -2
Factor x**4/4 + 31*x**3/2 + 100*x**2 + 417*x/2 + 495/4.
(x + 1)*(x + 3)**2*(x + 55)/4
Factor -5*t**3/4 - 7*t**2 - 7*t + 4.
-(t + 2)*(t + 4)*(5*t - 2)/4
Find y, given that y**3/2 + 9*y**2/2 + 12*y + 8 = 0.
-4, -1
Find h such that h**4/6 + 2*h**3/3 + h**2/2 = 0.
-3, -1, 0
Solve -2*y**5/3 + 18*y**4 - 388*y**3/3 + 284*y**2/3 + 130*y - 338/3 = 0 for y.
-1, 1, 13
Suppose -2*a**2 + 612*a - 1818 = 0. Calculate a.
3, 303
Solve 26*u**3/3 - 4*u**2/3 = 0 for u.
0, 2/13
Factor 5*o**2 - 365*o + 360.
5*(o - 72)*(o - 1)
Factor -3*d**3/2 + 33*d**2 + 75*d/2 - 69.
-3*(d - 23)*(d - 1)*(d + 2)/2
What is d in d**3/4 + 861*d**2/4 + 247107*d/4 + 23639903/4 = 0?
-287
Factor 2*b**4 + 1870*b**3 + 434298*b**2 - 1316014*b + 879844.
2*(b - 2)*(b - 1)*(b + 469)**2
Suppose 3*o**3 + 15*o**2 - 276*o - 288 = 0. Calculate o.
-12, -1, 8
Determine d, given that -2*d**2 - 440*d - 24200 = 0.
-110
Factor -2*z**3/21 - 124*z**2/21 + 130*z/21 + 12.
-2*(z - 2)*(z + 1)*(z + 63)/21
Find y, given that 3*y**4 + 6357*y**3 - 19089*y**2 + 19095*y - 6366 = 0.
-2122, 1
Factor 2*j**5/5 + 84*j**4/5 + 162*j**3/5 + 16*j**2.
2*j**2*(j + 1)**2*(j + 40)/5
Determine b so that 3*b**4/8 - 45*b**3/8 + 117*b**2/8 - 111*b/8 + 9/2 = 0.
1, 12
Factor -147*g**4 - 966*g**3 - 1839*g**2 - 828*g - 108.
-3*(g + 3)**2*(7*g + 2)**2
Factor 2*f**2/7 - 1114*f/7.
2*f*(f - 557)/7
Determine t so that 4*t**4/3 + 160*t**3/3 + 148*t**2/3 - 104*t = 0.
-39, -2, 0, 1
Suppose 3*h**2 - 2376*h + 470448 = 0. Calculate h.
396
Factor -2*o**3/5 + 18*o**2/5.
-2*o**2*(o - 9)/5
Let 2*z**3/5 + 8*z**2/5 + 8*z/5 = 0. Calculate z.
-2, 0
Let -20*r**5 + 65*r**3 + 40*r**2 - 15*r - 10 = 0. What is r?
-1, -1/2, 1/2, 2
Determine w, given that -5*w**3 - 5*w**2 + 80*w - 100 = 0.
-5, 2
Factor -7*a**2/2 + 43*a - 12.
-(a - 12)*(7*a - 2)/2
Let -3*j**2 + 51*j + 114 = 0. What is j?
-2, 19
Find h, given that h**4/11 - 69*h**3/11 + 1344*h**2/11 - 5120*h/11 = 0.
0, 5, 32
Suppose -845*g**5/2 - 1365*g**4/2 + 285*g**3 + 725*g**2 - 45*g/2 - 405/2 = 0. What is g?
-1, 9/13
Suppose 2*d**4/7 - 20*d**3/7 + 6*d**2 + 8*d/7 - 8 = 0. Calculate d.
-1, 2, 7
Factor 2*c**3 + 58*c**2 - 18*c - 522.
2*(c - 3)*(c + 3)*(c + 29)
Let l**3/3 + 137*l**2/3 - 418*l/3 + 280/3 = 0. Calculate l.
-140, 1, 2
Factor 4*z**4 + 2848*z**3 + 512608*z**2 + 2016384*z + 2005056.
4*(z + 2)**2*(z + 354)**2
Factor -2*q**3/3 - 14*q**2 - 26*q - 38/3.
-2*(q + 1)**2*(q + 19)/3
Factor 2*f**2 + 496*f + 30752.
2*(f + 124)**2
Let -20*h**2 - 92*h + 40 = 0. Calculate h.
-5, 2/5
Determine a so that -6*a**2/13 - 136*a/13 - 210/13 = 0.
-21, -5/3
Solve -4*g**3 - 40*g**2 - 68*g - 32 = 0 for g.
-8, -1
Factor 3*m**3 - 51*m**2 + 93*m - 45.
3*(m - 15)*(m - 1)**2
Find l, given that 4*l**2 + 22*l + 18 = 0.
-9/2, -1
Let -2*r**3 - 1024*r**2 - 4072*r - 4064 = 0. Calculate r.
-508, -2
Factor -3*a**4/2 + 738*a**3 - 93678*a**2 + 714384*a - 1405536.
-3*(a - 242)**2*(a - 4)**2/2
Solve 9*w**5 + 33*w**4 + 15*w**3 - 45*w**2 - 24*w + 12 = 0.
-2, -1, 1/3, 1
Let 5*r**3 + 80*r**2 - 175*r + 90 = 0. Calculate r.
-18, 1
Factor -5*l**4 - 5*l**3 + 10*l**2.
-5*l**2*(l - 1)*(l + 2)
Factor -2*f**3/3 + 50*f**2/3 + 118*f + 186.
-2*(f - 31)*(f + 3)**2/3
Factor 5*g**5 - 85*g**4 + 570*g**3 - 1880*g**2 + 3040*g - 1920.
5*(g - 4)**3*(g - 3)*(g - 2)
Factor -10*u**5 - 25*u**4 + 15*u**3.
-5*u**3*(u + 3)*(2*u - 1)
Factor 4*i**3 - 12*i**2 + 8*i.
4*i*(i - 2)*(i - 1)
Factor -4*o**2 + 104*o - 100.
-4*(o - 25)*(o - 1)
Find a such that -4*a**3 - 396*a**2 - 13068*a - 143748 = 0.
-33
Suppose 2*x**2/13 - 12364*x/13 + 19108562/13 = 0. What is x?
3091
Factor -3*h**3 + 237*h**2 - 462*h.
-3*h*(h - 77)*(h - 2)
What is l in -3*l**3 + 1344*l**2 - 4011*l + 2670 = 0?
1, 2, 445
Find v such that v**3/2 - 1165*v**2/2 + 2327*v/2 - 1163/2 = 0.
1, 1163
Factor -4*a**3/5 - 24*a**2/5 - 36*a/5 - 16/5.
-4*(a + 1)**2*(a + 4)/5
Determine h so that -h**2/2 - 13*h - 25/2 = 0.
-25, -1
Factor -5*u**3 + 17*u**2 - 6*u.
-u*(u - 3)*(5*u - 2)
Factor -z**3/5 + 11*z**2/5 - 28*z/5.
-z*(z - 7)*(z - 4)/5
Factor 5*z**3 + 430*z**2 + 425*z.
5*z*(z + 1)*(z + 85)
Factor 2*v**3 - 40*v**2 + 136*v - 128.
2*(v - 16)*(v - 2)**2
Let 2*y**4 + 60*y**3 + 634*y**2 + 2664*y + 3240 = 0. Calculate y.
-10, -9, -2
Find v such that -4*v**2/5 + 16592*v/5 - 17205904/5 = 0.
2074
Find d, given that 3*d**2 - 30*d = 0.
0, 10
Determine u so that 3*u**4 - 405*u**3 - 1656*u**2 - 1668*u = 0.
-2, 0, 139
Factor 2*s**3/15 + 74*s**2/15 + 24*s/5.
2*s*(s + 1)*(s + 36)/15
Factor m**2/2 - 1759*m/2.
m*(m - 1759)/2
Suppose -3*x**4 + 57*x**3 - 144*x**2 = 0. Calculate x.
0, 3, 16
Let -2*i**3 - 74*i**2 = 0. What is i?
-37, 0
Suppose -2*h**3/9 - 14*h**2/9 + 4*h = 0. Calculate h.
-9, 0, 2
Determine z, given that z**3 + 62*z**2 - z - 62 = 0.
-62, -1, 1
Suppose 8*z**2 + 42*z + 40 = 0. What is z?
-4, -5/4
Find l such that -3*l**3 - 123*l**2 + 282*l + 1032 = 0.
-43, -2, 4
What is u in u**2/8 - u/8 - 5/2 = 0?
-4, 5
Factor f**2/10 + 129*f/10 - 131/5.
(f - 2)*(f + 131)/10
Determine v so that v**5/5 + v**4 + v**3 - v**2 - 6*v/5 = 0.
-3, -2, -1, 0, 1
Factor 4*y**2/7 - 208*y/7 - 432/7.
4*(y - 54)*(y + 2)/7
Suppose h**2/5 - 4*h - 25 = 0. What is h?
-5, 25
Factor 2*q**4 - 20*q**3/3 + 2*q**2.
2*q**2*(q - 3)*(3*q - 1)/3
Factor 3*n**3 + 21*n**2 + 48*n + 36.
3*(n + 2)**2*(n + 3)
Factor 3*g**3 - 159*g**2 + 1209*g + 25947.
3*(g - 31)**2*(g + 9)
Factor d**4/2 + 53*d**3/2 - 283*d**2/2 + 403*d/2 - 87.
(d - 3)*(d - 1)**2*(d + 58)/2
Let z**5 + 5*z**4 - 40*z**3 - 140*z**2 - 96*z = 0. What is z?
-8, -2, -1, 0, 6
Factor -2*b**3 + 80*b**2 - 418*b + 340.
-2*(b - 34)*(b - 5)*(b - 1)
Factor -g**2/2 - 17*g/2 - 15.
-(g + 2)*(g + 15)/2
Factor 14*v**2 + 10*v.
2*v*(7*v + 5)
Find a, given that -3*a**2 - 25440*a - 53932800 = 0.
-4240
Factor g**2/3 + 12*g - 37/3.
(g - 1)*(g + 37)/3
Let -2*q**3/3 + 74*q**2/3 - 496*q/3 + 928/3 = 0. Calculate q.
4, 29
Factor -4*q**5 + 628*q**4 - 24960*q**3 + 24336*q**2.
-4*q**2*(q - 78)**2*(q - 1)
Let -q**2 - 6*q = 0. What is q?
-6, 0
Solve -4*h**3 - 556*h**2 + 8372*h - 29988 = 0.
-153, 7
Suppose -4*q**4/5 - 424*q**3/5 + 1296*q**2/5 - 1304*q/5 + 436/5 = 0. Calculate q.
-109, 1
Suppose -c**4 + c**3 + 2*c**2 = 0. What is c?
-1, 0, 2
Let s**5/5 + 9*s**4/5 + 3*s**3 + 7*s**2/5 = 0. Calculate s.
-7, -1, 0
Factor 4*t**3 + 72*t**2 - 352*t.
4*t