What is r in -2*r**3/5 + 24*r**2 + 1226*r/5 + 1104/5 = 0?
-8, -1, 69
Find f, given that -12*f**5 - 28*f**4 + 312*f**3 + 768*f**2 - 640*f = 0.
-4, 0, 2/3, 5
Factor 35*z**2 - 375*z - 110.
5*(z - 11)*(7*z + 2)
Determine h so that -2*h**4 + 60*h**3 - 414*h**2 + 756*h = 0.
0, 3, 6, 21
Factor -p**2 + 70*p/3 + 16.
-(p - 24)*(3*p + 2)/3
Determine g so that 78*g**2/7 - 54*g - 60/7 = 0.
-2/13, 5
Factor 6650*m**3 - 3130*m**2 + 2336*m/19 - 24/19.
2*(7*m - 3)*(95*m - 2)**2/19
Factor -2*y**5 + 32*y**4 - 176*y**3 + 384*y**2 - 288*y.
-2*y*(y - 6)**2*(y - 2)**2
Solve -3*l**4 + 1362*l**3 - 166359*l**2 + 2672244*l - 11548332 = 0 for l.
9, 218
Factor 7*o**3/6 - 17*o**2/2 + 28*o/3 - 2.
(o - 6)*(o - 1)*(7*o - 2)/6
Factor 4*l**3 + 60*l**2 - 1684*l - 1740.
4*(l - 15)*(l + 1)*(l + 29)
Factor -o**5/7 - 24*o**4/7 - 66*o**3/7 - 64*o**2/7 - 3*o.
-o*(o + 1)**3*(o + 21)/7
Factor 2*q**3/13 - 22*q**2/13 - 2*q/13 + 22/13.
2*(q - 11)*(q - 1)*(q + 1)/13
Let -t**3/2 - 236*t**2 - 941*t/2 - 235 = 0. Calculate t.
-470, -1
Suppose 2*u**5/9 + 4*u**4 + 116*u**3/9 + 16*u**2/3 - 118*u/9 - 28/3 = 0. What is u?
-14, -3, -1, 1
Determine r, given that -6*r**5 + 15*r**4 - 12*r**3 + 3*r**2 = 0.
0, 1/2, 1
Suppose -3*t**4/2 - 1617*t**3 + 6477*t**2/2 - 1620*t = 0. What is t?
-1080, 0, 1
Let -36*k**5 + 674*k**4 + 212*k**3 - 422*k**2 + 76*k = 0. What is k?
-1, 0, 2/9, 1/2, 19
Factor -3*r**2/5 + 9*r.
-3*r*(r - 15)/5
Determine m, given that -3*m**2 - 1101*m - 1098 = 0.
-366, -1
Solve -3*p**5 - 12*p**4 + 156*p**3 - 240*p**2 = 0 for p.
-10, 0, 2, 4
Factor -5*c**3 + 90*c**2 + 425*c + 330.
-5*(c - 22)*(c + 1)*(c + 3)
Suppose 21*s**3/2 - 660*s**2 + 1113*s/2 + 93 = 0. Calculate s.
-1/7, 1, 62
Factor 5*s**3 - 100*s**2 + 585*s - 810.
5*(s - 9)**2*(s - 2)
Suppose 2*t**5/5 - 4*t**4/5 - 82*t**3/5 + 84*t**2/5 = 0. Calculate t.
-6, 0, 1, 7
Factor -t**3 + 21*t**2.
-t**2*(t - 21)
Find w, given that 8*w**4 - 10*w**3 - 24*w**2 + 46*w - 20 = 0.
-2, 1, 5/4
Factor 2*r**4/7 + 16*r**3/7 + 10*r**2/7 - 4*r.
2*r*(r - 1)*(r + 2)*(r + 7)/7
Suppose -k**2 + 71*k + 72 = 0. Calculate k.
-1, 72
Solve 2*x**3 + 118*x**2 - 244*x = 0 for x.
-61, 0, 2
Factor -x**4/5 + 11*x**3/5 - 9*x**2/5 - 119*x/5 - 98/5.
-(x - 7)**2*(x + 1)*(x + 2)/5
Factor -2*m**4 + 164*m**3 - 1362*m**2 + 3544*m - 2920.
-2*(m - 73)*(m - 5)*(m - 2)**2
Let 5*o**5 + 50*o**4 + 120*o**3 + 110*o**2 + 35*o = 0. Calculate o.
-7, -1, 0
Factor -2*p**2 - 46*p - 84.
-2*(p + 2)*(p + 21)
Factor 2*l**4/3 + 24*l**3 + 260*l**2 + 1352*l/3 - 4394.
2*(l - 3)*(l + 13)**3/3
Factor 14*q**2/5 - 26*q/5 + 12/5.
2*(q - 1)*(7*q - 6)/5
Factor -70*j**2 - 284*j - 16.
-2*(j + 4)*(35*j + 2)
Determine k so that 5*k**4/2 + 55*k**3/2 + 60*k**2 - 90*k = 0.
-6, 0, 1
Factor -4*m**3 - 192*m**2 + 396*m - 200.
-4*(m - 1)**2*(m + 50)
Solve o**2 - 73*o + 210 = 0 for o.
3, 70
Factor -u**2/4 + 26*u - 676.
-(u - 52)**2/4
Factor 2*k**3/3 - 18*k**2 - 126*k - 198.
2*(k - 33)*(k + 3)**2/3
Factor m**2/6 + 233*m/2 + 697/3.
(m + 2)*(m + 697)/6
Factor m**5 + 11*m**4 + 18*m**3 - 130*m**2 - 275*m + 375.
(m - 3)*(m - 1)*(m + 5)**3
Factor 2*i**2/3 - 22*i/3 - 52/3.
2*(i - 13)*(i + 2)/3
What is x in 2*x**4/13 - 32*x**3/13 + 126*x**2/13 - 184*x/13 + 88/13 = 0?
1, 2, 11
Let 6*c**2/5 - 11*c + 9/5 = 0. Calculate c.
1/6, 9
Let 5*b**3 - 80*b**2 + 260*b - 240 = 0. Calculate b.
2, 12
Factor 2*g**3 - 531*g**2 - 267*g + 266.
(g - 266)*(g + 1)*(2*g - 1)
Factor -u**3/8 + 5*u**2/8 - 7*u/8 + 3/8.
-(u - 3)*(u - 1)**2/8
Let -h**5/7 + 20*h**4/7 + 12*h**3/7 - 160*h**2 - 448*h = 0. What is h?
-4, 0, 14
Solve 76*o**3 - 60*o**2 - 136*o = 0 for o.
-1, 0, 34/19
Solve 5*x**2 - 1610*x + 6360 = 0 for x.
4, 318
Factor 19*f**4 + 880*f**3 + 10327*f**2 + 3174*f.
f*(f + 23)**2*(19*f + 6)
Solve 3*j**5/2 + 93*j**4/2 + 933*j**3/2 + 2931*j**2/2 - 468*j - 1512 = 0 for j.
-12, -7, -1, 1
Solve k**3/4 - 577*k**2/2 = 0 for k.
0, 1154
Solve 3*o**5/5 + 3*o**4/5 - 1527*o**3/5 - 14703*o**2/5 - 2028*o + 26364/5 = 0 for o.
-13, -2, 1, 26
Factor 4*m**4 + 8*m**3 - 20*m**2 - 24*m.
4*m*(m - 2)*(m + 1)*(m + 3)
Find c such that 5*c**2 - 240*c - 245 = 0.
-1, 49
Suppose v**4/5 - 2*v**2 + 9/5 = 0. Calculate v.
-3, -1, 1, 3
Find z such that -94559612*z**3/5 + 988428*z**2/5 - 3444*z/5 + 4/5 = 0.
1/287
Factor -a**3/8 + 33*a**2/4 - 129*a/8 + 8.
-(a - 64)*(a - 1)**2/8
What is a in -3*a**2 + 213*a - 612 = 0?
3, 68
What is y in -y**3/6 - 7*y**2/3 + 31*y/6 - 8/3 = 0?
-16, 1
Factor t**2/3 - 16*t - 100/3.
(t - 50)*(t + 2)/3
Factor 2*p**2/5 + 4*p/5 - 6/5.
2*(p - 1)*(p + 3)/5
Factor -4*a**3 - 2516*a**2 - 389276*a + 2009780.
-4*(a - 5)*(a + 317)**2
Factor 2*l**3/11 - 48*l**2/11.
2*l**2*(l - 24)/11
Suppose 16*o**5 + 132*o**4 + 134*o**3 - 50*o**2 - 54*o + 14 = 0. Calculate o.
-7, -1, 1/4, 1/2
Let c**4/8 + c**3/8 - 33*c**2/8 + 59*c/8 - 7/2 = 0. Calculate c.
-7, 1, 4
Let -3*z**2/2 - 105*z - 204 = 0. Calculate z.
-68, -2
Factor -i**2/5 - 4862*i/5 - 5909761/5.
-(i + 2431)**2/5
Let 35*j**5 - 235*j**4 - 350*j**3 + 3700*j**2 - 3960*j - 1440 = 0. What is j?
-4, -2/7, 2, 3, 6
Find l, given that l**5/7 - 153*l**4/7 - 90*l**3 + 302*l**2/7 + 1893*l/7 - 1413/7 = 0.
-3, 1, 157
Find r, given that r**5/2 + 5*r**4/6 - 25*r**3/6 + 5*r**2/2 + 5*r/3 - 4/3 = 0.
-4, -2/3, 1
Determine i, given that i**4 + 4*i**3 + 5*i**2 + 2*i = 0.
-2, -1, 0
Suppose h**3/7 + 50*h**2/7 - 212*h/7 + 216/7 = 0. Calculate h.
-54, 2
Find t, given that t**3/10 + 7*t**2/10 + t = 0.
-5, -2, 0
Factor -3*l**2 - 171*l - 330.
-3*(l + 2)*(l + 55)
Let -5*q**2 + 30*q - 40 = 0. What is q?
2, 4
Factor 4*p**4 + 64*p**3 + 248*p**2 + 320*p + 132.
4*(p + 1)**2*(p + 3)*(p + 11)
Find n, given that -n**3/2 + 37*n**2/2 - 231*n/2 - 2205/2 = 0.
-5, 21
Factor -z**3/2 - 90*z**2.
-z**2*(z + 180)/2
Factor j**4/2 + 7*j**3/2 - 3*j**2/2 - 23*j/2 - 7.
(j - 2)*(j + 1)**2*(j + 7)/2
Find z, given that z**2/6 - 7*z/3 + 13/6 = 0.
1, 13
Factor -8*v**5 + 100*v**4 + 103*v**3/2 + 13*v**2/2.
-v**2*(v - 13)*(4*v + 1)**2/2
Determine a so that -3*a**5 + 521*a**4 - 22005*a**3 - 53329*a**2 - 38544*a - 7744 = 0.
-1, -1/3, 88
Determine c, given that c**2 - 104*c - 212 = 0.
-2, 106
Factor -c**4 - 1293*c**3.
-c**3*(c + 1293)
Solve -3*a**3 - 6570*a**2 - 3603636*a - 7181016 = 0.
-1094, -2
Factor 3*j**2 - 120*j - 252.
3*(j - 42)*(j + 2)
Factor 3*a**3/8 + 45*a**2/8.
3*a**2*(a + 15)/8
Solve 3*z**2 + 36*z + 60 = 0 for z.
-10, -2
Suppose 6*g**5 + 23*g**4 + 71*g**3/3 + 4*g**2/3 - 4*g = 0. Calculate g.
-2, -3/2, -2/3, 0, 1/3
Factor -44*z**3/3 - 56*z**2 + 32*z/3.
-4*z*(z + 4)*(11*z - 2)/3
Factor 2*g**2/3 + 4*g.
2*g*(g + 6)/3
Determine a, given that -3*a**4/8 - 4827*a**3/8 - 323811*a**2 - 58069704*a - 57746496 = 0.
-536, -1
Suppose 5*a**4 + 965*a**3 - 4910*a**2 + 7900*a - 3960 = 0. What is a?
-198, 1, 2
Factor p**5/5 - 6*p**4/5 - 7*p**3/5.
p**3*(p - 7)*(p + 1)/5
Factor 3*x**4 + 12*x**3 - 63*x**2.
3*x**2*(x - 3)*(x + 7)
Suppose 50*j**3 - 3910*j**2 - 3152*j - 632 = 0. Calculate j.
-2/5, 79
Solve 3*g**4/8 + 531*g**3/8 = 0 for g.
-177, 0
What is y in 3*y**5 - 18*y**4 + 12*y**3 + 18*y**2 - 15*y = 0?
-1, 0, 1, 5
Find g such that g**4 + 28*g**3 + 278*g**2 + 1148*g + 1617 = 0.
-11, -7, -3
Let -3*h**3/5 - 6*h**2/5 + 9*h/5 = 0. Calculate h.
-3, 0, 1
Determine j so that -5*j**2 - 60*j - 175 = 0.
-7, -5
Solve -n**2 + 522*n - 68121 = 0.
261
Solve -j**3/7 - j**2/7 + 4*j/7 + 4/7 = 0 for j.
-2, -1, 2
Suppose -2*g**4 - 10*g**3 - 16*g**2 - 8*g = 0. What is g?
-2, -1, 0
Solve 4*w**5 - 72*w**4 + 240*w**3 + 800*w**2 = 0.
-2, 0, 10
Factor -2*i**5/5 - 16*i**4 - 78*i**3/5.
-2*i**3*(i + 1)*(i + 39)/5
Factor -2*u**2 - 18*u + 20.
-2*(u - 1)*(u + 10)
Let -m**4/3 + 97*m**3/3 + 100*m**2/3 - 196*m/3 = 0. What is m?
-2, 0, 1, 98
Factor 5*w**4 + 75*w**3 - 80*w**2.
5*w**2*(w - 1)*(w + 16)
Factor 963*u**2/4 + 1686*u + 21/4.
3*(u + 7)*(321*u + 1)/4
Factor -3*x**3 + 237*x**2 - 4560*x - 4800.
-3*(x - 40)**2*(x + 1)
Let -m**5/2 + 16*m**4 - 109*m**3 - 340*m**2 + 867*m/2 = 0. Calculate m.
-3, 0, 1, 17
Solve -2*y**5/5 - 14*y**4/5 - 18*y**3/5 + 38*y**2/5 + 44*y/5 - 48/5 = 0 for y.
-4, -3, -2, 1
Factor -2*n**5/9 - 2*n**4/3 - 2*n**3/3 - 2*n**2/9.
-2*n**2*(n + 1)**3/9
Let 5*v**5 + 185*v**4 + 2550*v**3 + 15500*v**2 + 35000*v = 0. What is v?
-10, -7, 0
Factor -2*w**5 - 104*w**4 - 1928*w**3 - 14720*w**2 - 38912*w - 32768.
-2*(w + 2)**2*(w + 16)**3
Determine n so that n**3 + 6*n**2 + 8*n = 0.
-4, -2, 0
Solve 5*i**5 + 65*i**4 + 155*i**3 + 35*i*