*(5*a - 7)*(5*a - 4)
Factor 2*w**3 - 8*w**2 - 8*w + 32.
2*(w - 4)*(w - 2)*(w + 2)
Suppose -3*i**4 - 48*i**3 - 144*i**2 = 0. Calculate i.
-12, -4, 0
Factor s**2 - 2706*s.
s*(s - 2706)
Factor -18*a**2 + 650*a - 72.
-2*(a - 36)*(9*a - 1)
Factor 100*s**5 - 640*s**4 + 1144*s**3 - 384*s**2 + 36*s.
4*s*(s - 3)**2*(5*s - 1)**2
Determine h, given that -5*h**4 + 80*h**3 - 370*h**2 + 520*h - 225 = 0.
1, 5, 9
Factor d**4 + d**3 - 27*d**2 + 27*d + 54.
(d - 3)**2*(d + 1)*(d + 6)
Factor n**4/6 - 42*n**3 - 127*n**2/3 + 42*n + 253/6.
(n - 253)*(n - 1)*(n + 1)**2/6
Determine m, given that -2*m**3/11 + 2722*m**2/11 + 5450*m/11 + 2726/11 = 0.
-1, 1363
Solve -2*n**3/15 - 1118*n**2/15 - 31136*n/3 + 31360/3 = 0.
-280, 1
Factor -2*g**4/9 + 14*g**3/9 - 20*g**2/9.
-2*g**2*(g - 5)*(g - 2)/9
Determine n, given that -2*n**3/11 + 1358*n**2/11 - 21018*n + 229842/11 = 0.
1, 339
Let 2*u**5 + 56*u**4 + 392*u**3 = 0. Calculate u.
-14, 0
Factor 2*p**4/5 - 88*p**3/5.
2*p**3*(p - 44)/5
Solve 5*k**4 - 10560*k**3 + 5575680*k**2 = 0 for k.
0, 1056
Suppose -2*f**5/3 + 220*f**4/3 + 1138*f**3/3 + 1388*f**2/3 - 904*f/3 - 1840/3 = 0. Calculate f.
-2, 1, 115
Factor -3*x**3/7 + 174*x**2/7 - 2880*x/7 + 14688/7.
-3*(x - 34)*(x - 12)**2/7
What is n in -44*n**3 - 200*n**2 - 272*n - 96 = 0?
-2, -6/11
Factor -3*k**5/5 - 87*k**4/5 + 183*k**3/5 - 93*k**2/5.
-3*k**2*(k - 1)**2*(k + 31)/5
Factor 5*q**3 + 300*q**2 + 835*q - 1140.
5*(q - 1)*(q + 4)*(q + 57)
Let -2*a**4/5 - 64*a**3/5 + 362*a**2/5 - 296*a/5 = 0. Calculate a.
-37, 0, 1, 4
What is i in -28*i**4 + 232*i**3 - 204*i**2 - 352*i + 112 = 0?
-1, 2/7, 2, 7
Factor 2*z**5/9 - 8*z**4/9 - 2*z**3/3 + 68*z**2/9 - 104*z/9 + 16/3.
2*(z - 2)**3*(z - 1)*(z + 3)/9
Factor -4*q**3/13 + 12414*q**2/13 - 9628608*q/13 - 4817408/13.
-2*(q - 1552)**2*(2*q + 1)/13
What is d in -2*d**2 + 156*d - 3042 = 0?
39
Factor c**3/5 + 14*c**2/5 + 59*c/5 + 14.
(c + 2)*(c + 5)*(c + 7)/5
Factor -o**5/4 - o**4 + 6*o**3 + 43*o**2/2 + 89*o/4 + 15/2.
-(o - 5)*(o + 1)**3*(o + 6)/4
Factor 5*i**4 + 40*i**3 + 75*i**2 - 40*i - 80.
5*(i - 1)*(i + 1)*(i + 4)**2
Factor 3*h**5 + 54*h**4 - 972*h**3 + 3240*h**2.
3*h**2*(h - 6)**2*(h + 30)
Factor -s**3/9 + 2*s**2/9 + s - 2.
-(s - 3)*(s - 2)*(s + 3)/9
Suppose 2*m**5/11 - 18*m**4/11 + 18*m**3/11 + 170*m**2/11 - 300*m/11 = 0. What is m?
-3, 0, 2, 5
Factor -3*z**2 + 126*z - 555.
-3*(z - 37)*(z - 5)
Factor p**2 + 37*p + 160.
(p + 5)*(p + 32)
Solve 2*v**3/15 - 2*v**2/15 - 22*v/5 - 42/5 = 0 for v.
-3, 7
Suppose x**2/3 - 428*x + 137388 = 0. Calculate x.
642
Let 10*k**2 - 345*k - 925 = 0. Calculate k.
-5/2, 37
Determine m so that -27*m**3 + 258*m**2 - 660*m + 504 = 0.
14/9, 2, 6
Factor -9*n**3 + 183*n**2 - 384*n + 108.
-3*(n - 18)*(n - 2)*(3*n - 1)
Solve -4*p**4 - 108*p**3 - 636*p**2 - 532*p = 0 for p.
-19, -7, -1, 0
Factor -c**4/2 - 427*c**3/2 - 29565*c**2 - 1204354*c + 17116748.
-(c - 11)*(c + 146)**3/2
Factor -4*w**3 - 276*w**2 - 264*w + 544.
-4*(w - 1)*(w + 2)*(w + 68)
Suppose 27*s**2 + 27951*s + 6210 = 0. Calculate s.
-1035, -2/9
Factor q**3 + 361*q**2 - 364*q - 724.
(q - 2)*(q + 1)*(q + 362)
Determine t, given that 3*t**2 + 63*t = 0.
-21, 0
Factor -3*w**4 + 42*w**3 - 135*w**2 + 156*w - 60.
-3*(w - 10)*(w - 2)*(w - 1)**2
Factor 73*n**2 + 221*n/3 + 2/3.
(n + 1)*(219*n + 2)/3
Solve 2*q**4 + 6*q**3 - 18*q**2 + 10*q = 0.
-5, 0, 1
Determine r, given that 2*r**3/5 - 36*r**2/5 + 162*r/5 = 0.
0, 9
What is x in 28*x**5 + 290*x**4/3 + 286*x**3/3 + 88*x**2/3 + 8*x/3 = 0?
-2, -1, -2/7, -1/6, 0
Factor -2*d**2 + 8*d.
-2*d*(d - 4)
Factor 3*s**2/5 + 6*s - 33/5.
3*(s - 1)*(s + 11)/5
Determine p, given that 4*p**5/7 - 48*p**4/7 - 116*p**3/7 + 48*p**2/7 + 16*p = 0.
-2, -1, 0, 1, 14
Factor -4*i**2/5 + 316*i/5 + 648/5.
-4*(i - 81)*(i + 2)/5
Let 4*g**3 + 2096*g**2 + 4180*g + 2088 = 0. Calculate g.
-522, -1
Factor 4*t**3 - 464*t**2 - 956*t + 1416.
4*(t - 118)*(t - 1)*(t + 3)
What is p in -5*p**4 - 90*p**3 - 400*p**2 = 0?
-10, -8, 0
What is p in 8*p**5 - 76*p**4 + 65*p**3/2 + 31*p**2 + 9*p/2 = 0?
-1/4, 0, 1, 9
Factor 2*t**4/5 - 18*t**3/5 - 24*t**2/5 + 184*t/5 + 288/5.
2*(t - 9)*(t - 4)*(t + 2)**2/5
What is b in -b**4/6 + 11*b**3/6 - 3*b**2 = 0?
0, 2, 9
Let -125*k**2/2 + 135*k/2 - 5 = 0. Calculate k.
2/25, 1
What is p in 3*p**5 + 60*p**4 + 354*p**3 + 864*p**2 + 891*p + 324 = 0?
-12, -3, -1
Factor -5*z**3 + 10035*z**2 - 6713415*z + 1497091545.
-5*(z - 669)**3
Find c such that 5*c**4 + 335*c**3 - 705*c**2 - 1035*c = 0.
-69, -1, 0, 3
Determine m, given that -2*m**5/5 + 24*m**4/5 - 4*m**3 - 24*m**2/5 + 22*m/5 = 0.
-1, 0, 1, 11
Find g, given that -5*g**3 + 55*g**2 - 130*g + 80 = 0.
1, 2, 8
Solve -4*j**5/15 - 2*j**4 + 18*j**3/5 = 0 for j.
-9, 0, 3/2
Solve -5*a**3/4 + 31*a**2/4 + 449*a/4 - 91/4 = 0 for a.
-7, 1/5, 13
Factor -2*f**3/13 + 8*f**2/13 + 14*f/13 - 20/13.
-2*(f - 5)*(f - 1)*(f + 2)/13
Let 8*w**3 + 1556*w**2 + 76048*w + 37636 = 0. What is w?
-97, -1/2
Factor 2*b**2/5 + 11828*b/5 - 2366.
2*(b - 1)*(b + 5915)/5
Factor -2*k**5/9 + 88*k**4/9 - 1052*k**3/9 + 616*k**2/3 - 98*k.
-2*k*(k - 21)**2*(k - 1)**2/9
Let -r**5 + 8*r**4 + 2*r**3 - 16*r**2 - r + 8 = 0. What is r?
-1, 1, 8
Suppose o**4/11 + 5*o**3/11 - 37*o**2/11 - 5*o/11 + 36/11 = 0. Calculate o.
-9, -1, 1, 4
Suppose z**5/4 - z**4/2 - 9*z**3/4 + 7*z**2/2 + 5*z - 6 = 0. What is z?
-2, 1, 2, 3
Factor 4*r**3 - 24*r**2 - 64*r.
4*r*(r - 8)*(r + 2)
Factor 3*d**3 + 162*d**2 + 2187*d.
3*d*(d + 27)**2
Find d, given that 3*d**3/2 + 495*d**2/2 + 27225*d/2 + 499125/2 = 0.
-55
Find v, given that -12*v**3 + 340*v**2 - 112*v = 0.
0, 1/3, 28
Factor 27*g**3/4 - 21*g**2 + 9*g/4.
3*g*(g - 3)*(9*g - 1)/4
Factor 16*h**4 - 40*h**3 - 39*h**2 + 36*h + 27.
(h - 3)*(h - 1)*(4*h + 3)**2
Let -2*r**5 + 20*r**4 + 48*r**3 + 4*r**2 - 46*r - 24 = 0. Calculate r.
-1, 1, 12
Determine z, given that z**4 - 9*z**3 + 14*z**2 = 0.
0, 2, 7
Factor 5*r**2 - 7235*r/4 - 905/2.
5*(r - 362)*(4*r + 1)/4
Factor -2*y**2/7 - 22*y.
-2*y*(y + 77)/7
What is q in -50*q**2/19 + 880*q/19 - 3872/19 = 0?
44/5
Suppose -14*w**4/11 + 298*w**3/11 - 840*w**2/11 + 216*w/11 = 0. Calculate w.
0, 2/7, 3, 18
Solve -6*z**3/11 + 36*z**2/11 - 6*z + 36/11 = 0 for z.
1, 2, 3
Factor o**4/6 + 7*o**3/6 + 5*o**2/2 + 3*o/2.
o*(o + 1)*(o + 3)**2/6
Factor -2*s**2 + 54*s + 56.
-2*(s - 28)*(s + 1)
Factor 2*k**4/9 + 8*k**3/3 + 22*k**2/9.
2*k**2*(k + 1)*(k + 11)/9
What is l in 3*l**3/5 - 723*l/5 + 144 = 0?
-16, 1, 15
Find m such that 25*m**3 - 365*m**2 - 1000*m - 340 = 0.
-2, -2/5, 17
Suppose -b**2 - 86*b = 0. What is b?
-86, 0
Suppose 5*g**2 - 65*g - 2550 = 0. Calculate g.
-17, 30
Determine u so that -2*u**4/5 + 14*u**3/5 + 34*u**2/5 + 18*u/5 = 0.
-1, 0, 9
Factor -p**2/4 + 25*p - 625.
-(p - 50)**2/4
Factor -5*t**3 + 40*t**2 - 25*t - 250.
-5*(t - 5)**2*(t + 2)
Factor m**3/3 + 148*m**2/3 - m/3 - 148/3.
(m - 1)*(m + 1)*(m + 148)/3
Suppose i**3 + 3*i**2/2 - 29*i/2 + 15 = 0. What is i?
-5, 3/2, 2
Factor 4*y**3 + 3300*y**2 + 907500*y + 83187500.
4*(y + 275)**3
Suppose -4*l**5 + 100*l**4 - 264*l**3 = 0. Calculate l.
0, 3, 22
Find n such that 3*n**3/2 + 149*n**2/4 + 839*n/4 - 36 = 0.
-16, -9, 1/6
Factor 250*h**2/9 + 28*h + 2/9.
2*(h + 1)*(125*h + 1)/9
Solve 2*d**4/9 - 2*d**3/9 - 34*d**2/9 + 14*d/3 + 8 = 0.
-4, -1, 3
Determine r, given that -2*r**2/3 - 460*r/3 - 26450/3 = 0.
-115
What is z in z**4/5 + 19*z**3/5 + 21*z**2 + 25*z - 50 = 0?
-10, -5, 1
Determine f, given that -5*f**4 - 415*f**3 + 4065*f**2 - 7025*f - 11500 = 0.
-92, -1, 5
Let 3*t**3 + 321*t**2 + 633*t + 315 = 0. What is t?
-105, -1
Factor 2*y**5 + 17*y**4 + 38*y**3 + 15*y**2.
y**2*(y + 3)*(y + 5)*(2*y + 1)
Factor 2*z**4/5 - 24*z**3/5 + 12*z**2 + 40*z - 150.
2*(z - 5)**3*(z + 3)/5
Factor 2*h**3/3 - 898*h**2/3 + 33450*h + 33750.
2*(h - 225)**2*(h + 1)/3
Suppose -3*k**3 + 2058*k**2 - 348795*k - 1428300 = 0. What is k?
-4, 345
Find v, given that -v**2/2 - 73*v/2 = 0.
-73, 0
Let 5*z**5 - 15*z**4 - 35*z**3 + 75*z**2 + 90*z = 0. Calculate z.
-2, -1, 0, 3
Determine k, given that -2*k**4 - 3284*k**3 - 3280*k**2 + 3284*k + 3282 = 0.
-1641, -1, 1
Factor -r**3 - 20*r**2.
-r**2*(r + 20)
Determine u so that u**2 - 149*u + 720 = 0.
5, 144
Let 2*j**4/5 - 14*j**3/5 + 6*j**2 - 18*j/5 = 0. What is j?
0, 1, 3
Suppose 4*g**2/3 + 32*g + 320/3 = 0. Calculate g.
-20, -4
Factor 2*q**2 - 2820*q + 994050.
2*(q - 705)**2
Factor -z**4/4 - 2*z**3 - 11*z**2/2 - 6*z - 9/4.
-(z + 