**2/5
Factor 2*c**4/7 - 10*c**3/7 - 66*c**2/7 + 22*c - 80/7.
2*(c - 8)*(c - 1)**2*(c + 5)/7
Suppose 2*u**2 + 32*u + 120 = 0. Calculate u.
-10, -6
Find y such that -y**3/10 + 9*y**2/5 + 19*y/10 = 0.
-1, 0, 19
What is r in -2*r**3/11 - 4*r**2/11 + 16*r/11 = 0?
-4, 0, 2
Factor 4*c**3 - 456*c**2 + 1340*c - 888.
4*(c - 111)*(c - 2)*(c - 1)
Factor 3*x**3/4 - 69*x**2 + 6063*x/4 + 6627/2.
3*(x - 47)**2*(x + 2)/4
Determine t, given that -8*t**2 + t = 0.
0, 1/8
Factor 136*n**2 - 6122*n + 90.
2*(n - 45)*(68*n - 1)
Find s, given that 9*s**3 + 57*s**2/4 - 171*s/4 + 39/2 = 0.
-13/4, 2/3, 1
Find c such that 64*c**3/15 - 14*c**2/3 + 2*c/5 = 0.
0, 3/32, 1
Suppose -4*c**3 - 52*c**2 - 160*c - 144 = 0. What is c?
-9, -2
Factor -y**2/4 + 21*y/4 - 5.
-(y - 20)*(y - 1)/4
Solve 324*i**3/7 - 228*i**2/7 + 8*i/7 = 0.
0, 1/27, 2/3
Factor 2*i**2 + 300*i.
2*i*(i + 150)
Factor -3*a**3 - 33*a**2 - 120*a - 144.
-3*(a + 3)*(a + 4)**2
Factor -2*l**2 + 8*l.
-2*l*(l - 4)
Suppose -9*b**3/2 + 35*b**2/2 - 16*b - 2 = 0. What is b?
-1/9, 2
Find a, given that 10*a**4/19 + 18*a**3/19 - 28*a**2/19 = 0.
-14/5, 0, 1
Factor -k**2/3 + 62*k/3 - 961/3.
-(k - 31)**2/3
Factor 3*o**3 - 63*o**2 - 390*o.
3*o*(o - 26)*(o + 5)
Find p, given that -2*p**2/9 + 496*p/3 - 30752 = 0.
372
Find k, given that k**4/5 - 3*k**3/5 - 2*k**2/5 + 12*k/5 - 8/5 = 0.
-2, 1, 2
Factor 7*q**5 + 8*q**4 - 42*q**3 + 8*q**2 + 43*q - 24.
(q - 1)**3*(q + 3)*(7*q + 8)
Let -3*w**3 - 339*w**2 - 657*w + 999 = 0. What is w?
-111, -3, 1
Factor -o**2 - 128*o - 127.
-(o + 1)*(o + 127)
Let -m**3/2 + 151*m**2/2 - 5467*m/2 - 17787/2 = 0. Calculate m.
-3, 77
Solve -m**4/2 + 13*m**3/6 - 13*m**2/6 + m/2 = 0 for m.
0, 1/3, 1, 3
What is s in -4*s**3 - 40*s**2 - 68*s - 32 = 0?
-8, -1
Solve -4*k**5/3 - 24*k**4 - 400*k**3/3 - 168*k**2 + 980*k/3 = 0 for k.
-7, -5, 0, 1
Solve 2*d**5/3 + 4*d**4 - 8*d**3 - 76*d**2/3 - 14*d = 0.
-7, -1, 0, 3
Factor 46*g**3/7 - 318*g**2/7 + 248*g/7 + 24/7.
2*(g - 6)*(g - 1)*(23*g + 2)/7
Factor 3*n**4 + 102*n**3 + 93*n**2 - 198*n.
3*n*(n - 1)*(n + 2)*(n + 33)
Suppose -2*i**2/9 - 146*i/9 + 100/3 = 0. Calculate i.
-75, 2
What is y in -y**5/3 + 77*y**4/3 + 2*y**3/3 - 154*y**2/3 - y/3 + 77/3 = 0?
-1, 1, 77
Factor -4*a**4 - 24*a**3.
-4*a**3*(a + 6)
Suppose -4*y**5/5 - 164*y**4/5 - 1696*y**3/5 + 6656*y**2/5 + 139264*y/5 + 131072/5 = 0. What is y?
-16, -1, 8
Factor 4*a**4 + 4044*a**3.
4*a**3*(a + 1011)
Factor -2*s**2 + 40*s - 72.
-2*(s - 18)*(s - 2)
Factor -4*t**3 + 140*t**2 - 384*t.
-4*t*(t - 32)*(t - 3)
Let 4*w**2 + 16*w - 48 = 0. Calculate w.
-6, 2
Determine z, given that -33*z**4/2 + 861*z**3 - 5163*z**2/2 + 441*z = 0.
0, 2/11, 3, 49
Factor 10*x**2 - 795*x - 1215.
5*(x - 81)*(2*x + 3)
Determine g, given that -5*g**5 + 265*g**4 + 610*g**3 - 3100*g**2 - 10840*g - 8800 = 0.
-2, 4, 55
Factor 3*i**3 - 135*i**2 + 132*i.
3*i*(i - 44)*(i - 1)
Find t, given that t**2 + 63*t + 290 = 0.
-58, -5
Factor -4*n**2 - 172*n - 888.
-4*(n + 6)*(n + 37)
Determine h, given that 2*h**5/3 + 8*h**4/3 - 4*h**3 - 24*h**2 - 18*h = 0.
-3, -1, 0, 3
Determine c, given that -c**4/3 - c**3 + 5*c**2 - 17*c/3 + 2 = 0.
-6, 1
Solve -8*u**4 + 44*u**3 + 172*u**2 - 96*u = 0 for u.
-3, 0, 1/2, 8
Factor 5*h**4 + 35*h**3 - 100*h**2 - 660*h + 720.
5*(h - 4)*(h - 1)*(h + 6)**2
Solve 4*v**2/5 - 48*v/5 - 36 = 0 for v.
-3, 15
Suppose 2*l**4/17 - 12*l**3/17 + 18*l**2/17 - 8*l/17 = 0. Calculate l.
0, 1, 4
Find h, given that -h**5/2 - 10*h**4 + 21*h**3/2 = 0.
-21, 0, 1
Factor 3*q**2 - 12*q - 15.
3*(q - 5)*(q + 1)
Factor -9*p**3/4 + 57*p**2/4 - 99*p/4 + 27/4.
-3*(p - 3)**2*(3*p - 1)/4
Solve -2*k**3/5 - 88*k**2/5 + 182*k/5 - 92/5 = 0.
-46, 1
Determine r so that 4*r**5 - 24*r**4 + 28*r**3 + 24*r**2 - 32*r = 0.
-1, 0, 1, 2, 4
Find k such that -2*k**4/5 + 12*k**3/5 - 26*k**2/5 + 24*k/5 - 8/5 = 0.
1, 2
Factor p**2 - 5658*p + 8003241.
(p - 2829)**2
Solve -o**3/7 - 5*o**2/7 + 61*o/7 - 55/7 = 0 for o.
-11, 1, 5
Factor -p**2/5 + p/5 + 6/5.
-(p - 3)*(p + 2)/5
Let -4*j**3 + 1448*j**2 - 131044*j = 0. Calculate j.
0, 181
Determine c so that -2*c**4/5 + 36*c**3/5 - 64*c**2/5 = 0.
0, 2, 16
Factor -3*i**2 - 14118*i - 16609827.
-3*(i + 2353)**2
Factor -3*q**3/5 + 516*q**2 - 110940*q.
-3*q*(q - 430)**2/5
Factor 2*r**2/5 + 256*r/5 - 104.
2*(r - 2)*(r + 130)/5
Solve -4*x**3/5 - 44*x**2/5 + 56*x/5 + 96/5 = 0 for x.
-12, -1, 2
What is x in 5*x**2 + 310*x = 0?
-62, 0
What is t in -15*t**4 + 935*t**3 - 19215*t**2 + 125685*t + 92610 = 0?
-2/3, 21
Factor 2*u**4/9 - 8*u**3/9 + 2*u**2/3.
2*u**2*(u - 3)*(u - 1)/9
Factor 3*g**3 - 129*g + 126.
3*(g - 6)*(g - 1)*(g + 7)
Factor -u**2/4 + 3035*u/4 + 3037/2.
-(u - 3037)*(u + 2)/4
Determine y so that 18*y**4/5 + 10*y**3 - 84*y**2/5 + 16*y/5 = 0.
-4, 0, 2/9, 1
Factor -2*s**2/13 - 58*s/13 - 12.
-2*(s + 3)*(s + 26)/13
Let j**4/4 - 21*j**3/2 - 15*j**2/4 + 538*j + 1476 = 0. Calculate j.
-4, 9, 41
Factor -6*h**2 + 574*h + 580.
-2*(h + 1)*(3*h - 290)
What is x in 2*x**4/5 + 132*x**3/5 + 2178*x**2/5 = 0?
-33, 0
Suppose 15*d**2/4 + 335*d/2 - 230 = 0. What is d?
-46, 4/3
Factor 3*o**3 - 27*o**2 + 42*o.
3*o*(o - 7)*(o - 2)
Solve -4*n**5 - 4*n**4 + 4*n**3 + 4*n**2 = 0.
-1, 0, 1
Factor -2*h**2/7 + 90*h/7 + 848/7.
-2*(h - 53)*(h + 8)/7
Let -4*s**3/3 - 44*s**2/3 - 32*s/3 + 80/3 = 0. Calculate s.
-10, -2, 1
What is q in q**2/3 - 128*q/3 + 125 = 0?
3, 125
Determine f, given that -2*f**3 - 75*f**2 + 198*f - 80 = 0.
-40, 1/2, 2
Factor g**4/3 + g**3 + 2*g**2/3.
g**2*(g + 1)*(g + 2)/3
Suppose -4*g**2/7 - 4*g - 40/7 = 0. Calculate g.
-5, -2
Determine g, given that -6*g**3/11 - 62*g**2/11 + 116*g/11 - 48/11 = 0.
-12, 2/3, 1
Factor -9*h**3 - 2715*h**2/7 - 258*h/7.
-3*h*(h + 43)*(21*h + 2)/7
Find d such that 20*d**4 - 315*d**3 + 500*d**2 - 135*d - 70 = 0.
-1/4, 1, 14
Factor 21*i**3 - 216*i**2 + 585*i - 150.
3*(i - 5)**2*(7*i - 2)
Factor -3*q**2/4 + 177*q/4 - 423.
-3*(q - 47)*(q - 12)/4
Factor 2*o**3 + 54*o**2 + 430*o + 858.
2*(o + 3)*(o + 11)*(o + 13)
Find k such that -4*k**5/7 + 12*k**4/7 + 4*k**3/7 - 12*k**2/7 = 0.
-1, 0, 1, 3
Let -4*d**4 - 40*d**3 + 180*d**2 + 280*d - 416 = 0. Calculate d.
-13, -2, 1, 4
Suppose 107*b**3/7 - 233*b**2/7 + 145*b/7 - 19/7 = 0. What is b?
19/107, 1
Factor -2*v**3 + 166*v**2 - 324*v.
-2*v*(v - 81)*(v - 2)
Determine p, given that 2*p**3/13 - 2*p**2 + 8*p - 120/13 = 0.
2, 5, 6
Factor 2*t**4/11 - 158*t**3/11.
2*t**3*(t - 79)/11
Determine f, given that -2*f**3 + 30*f**2 - 96*f - 128 = 0.
-1, 8
Factor -m**2/3 - 11*m/3 - 10/3.
-(m + 1)*(m + 10)/3
Factor 2*r**4/17 + 20*r**3/17 - 22*r**2/17.
2*r**2*(r - 1)*(r + 11)/17
Factor -b**2/4 + 7*b/2 - 33/4.
-(b - 11)*(b - 3)/4
What is d in 75*d**4 - 55*d**3 - 37*d**2 + 19*d - 2 = 0?
-2/3, 1/5, 1
Suppose 2*i**5 - 22*i**4 + 42*i**3 + 118*i**2 - 140*i = 0. What is i?
-2, 0, 1, 5, 7
What is o in 2*o**2/3 + 794*o/3 + 264 = 0?
-396, -1
Determine c so that -4*c**3 - 144*c**2 - 132*c + 280 = 0.
-35, -2, 1
Factor 12*q**3 - 640*q**2 + 8316*q + 5832.
4*(q - 27)**2*(3*q + 2)
Factor -9*z**3 - 3162*z**2 - 4188*z + 4200.
-3*(z + 2)*(z + 350)*(3*z - 2)
What is n in -28*n**2/3 - 62*n/3 + 30 = 0?
-45/14, 1
Suppose -2*v**3/9 - 1342*v**2/9 - 225790*v/9 - 224450/9 = 0. What is v?
-335, -1
Suppose -8*y**5 - 102*y**4 + 410*y**3 - 96*y**2 = 0. What is y?
-16, 0, 1/4, 3
Solve -j**4/3 + 14*j**3/3 - 16*j**2 - 14*j/3 + 49/3 = 0 for j.
-1, 1, 7
Factor -m**2/2 + 205*m - 409/2.
-(m - 409)*(m - 1)/2
Suppose 2*k**2/13 + 262*k/13 = 0. What is k?
-131, 0
Determine d, given that 3*d**3 + 24*d**2 - 36*d - 432 = 0.
-6, 4
Factor 3*i**2/7 + 153*i/7 - 156/7.
3*(i - 1)*(i + 52)/7
Solve 2*w**5 + 146*w**4 - 2*w**3 - 146*w**2 = 0.
-73, -1, 0, 1
Determine t, given that -2*t**5 + 230*t**4 - 6950*t**3 + 19490*t**2 - 19040*t + 6272 = 0.
1, 56
Let 2*j**3/13 + 4592*j**2/13 + 706*j + 4588/13 = 0. What is j?
-2294, -1
Factor -344605*v**3 - 453870*v**2 - 199260*v - 29160.
-5*(41*v + 18)**3
Factor 2*a**2/5 + 4*a + 48/5.
2*(a + 4)*(a + 6)/5
Factor j**2 + 37*j + 132.
(j + 4)*(j + 33)
Suppose -m**2 + 3784*m - 3579664 = 0. What is m?
1892
Suppose -5*m**4 + 70*m**3 - 305*m**2 + 420*m = 0. Calculate m.
0, 3, 4, 7
Factor g**4 + 5*g**3 + 8*g**2 + 4*g.
g*(g + 1)*(g + 2)**2
Determine u, given that 2*u**4 - 114*u**3 - 126*u**2 + 586*u - 348 = 0.
-3, 1, 58
Find c such that -6*c**4 + 45*c**3 - 300*c - 144 = 0.
-2, -1/2, 4, 6
Factor 2*m**5/5 - 84*m**4/5 - 356*m**3/5 - 544*m**2/5 - 3