**3
Factor y**3/5 - 327*y**2/5.
y**2*(y - 327)/5
Factor -t**2/4 - 105*t/4 + 513/2.
-(t - 9)*(t + 114)/4
Factor -2*s**3/3 + 28*s**2 - 150*s + 216.
-2*(s - 36)*(s - 3)**2/3
Factor -5*u**2 + 35*u + 390.
-5*(u - 13)*(u + 6)
Factor 5*q**3 - 432*q**2/7 + 1404*q/7 - 432/7.
(q - 6)**2*(35*q - 12)/7
Factor -x**2/6 + 2/3.
-(x - 2)*(x + 2)/6
Determine c, given that -3*c**2 + 372*c = 0.
0, 124
Factor l**3/3 + 22*l**2/3 + 104*l/3 + 128/3.
(l + 2)*(l + 4)*(l + 16)/3
Factor -5*w**5 - 85*w**4 + 105*w**3 + 245*w**2 - 440*w + 180.
-5*(w - 1)**3*(w + 2)*(w + 18)
Solve 2*r**4/3 + 113*r**3/6 + 406*r**2/3 + 98*r/3 = 0.
-14, -1/4, 0
Factor -46*x**3 + 142*x**2 - 12*x.
-2*x*(x - 3)*(23*x - 2)
Factor 2*t**5/7 - 62*t**4/7 + 768*t**3/7 - 4752*t**2/7 + 14688*t/7 - 2592.
2*(t - 7)*(t - 6)**4/7
Factor 5*c**4 - 25*c**3 - 235*c**2 - 195*c + 450.
5*(c - 10)*(c - 1)*(c + 3)**2
Find o, given that 4*o**5 + 22*o**4/3 - 8*o**3/3 - 8*o**2/3 = 0.
-2, -1/2, 0, 2/3
Factor -l**3/3 + 109*l**2/3 + 5560*l/3 + 59600/3.
-(l - 149)*(l + 20)**2/3
Find u such that -u**3 - 52*u**2 + 53*u = 0.
-53, 0, 1
Factor -2*s**4/21 - 2*s**3/3 - 10*s**2/7 - 6*s/7.
-2*s*(s + 1)*(s + 3)**2/21
Factor u**4/5 - 1074*u**3/5 + 57888*u**2 - 574592*u/5.
u*(u - 536)**2*(u - 2)/5
Determine q, given that q**2 - 28*q - 60 = 0.
-2, 30
Suppose y**3/2 + 21*y**2/2 + 99*y/2 + 135/2 = 0. What is y?
-15, -3
Suppose 90*v**5 + 6*v**4 - 133*v**3/2 - 57*v**2/2 - 3*v/2 + 1/2 = 0. What is v?
-1/2, -1/3, 1/10, 1
Find n, given that -20*n**3/3 - 62*n**2/3 - 32*n/3 + 8 = 0.
-2, -3/2, 2/5
Factor -5*x**5 + 5*x**4 + 25*x**3 + 15*x**2.
-5*x**2*(x - 3)*(x + 1)**2
Factor -2*q**3/9 - 4*q**2/3 - 2*q/3 + 20/9.
-2*(q - 1)*(q + 2)*(q + 5)/9
Factor -2*p**3/17 + 180*p**2/17 - 5400*p/17 + 54000/17.
-2*(p - 30)**3/17
Factor 3*d**4/7 + 75*d**3/7 + 66*d**2/7 - 144*d/7.
3*d*(d - 1)*(d + 2)*(d + 24)/7
Factor j**3/4 + 19*j**2/2 - 41*j + 42.
(j - 2)**2*(j + 42)/4
Factor 15*g**2/2 + 61*g/2 + 23.
(g + 1)*(15*g + 46)/2
Factor 4*b**3 + 292*b**2 - 2192*b + 3840.
4*(b - 4)*(b - 3)*(b + 80)
Find w, given that -4*w**2 - 5704*w - 2033476 = 0.
-713
Factor 16*z**4/13 - 66*z**3/13 - 82*z**2/13.
2*z**2*(z + 1)*(8*z - 41)/13
Factor -4*h**3/9 - 82*h**2/3 + 640*h/9.
-2*h*(h + 64)*(2*h - 5)/9
Determine f, given that f**2/5 + 131*f/5 + 2568/5 = 0.
-107, -24
Solve -4418*r**3 - 4*r**2 + 4418*r + 4 = 0 for r.
-1, -2/2209, 1
Solve -2*t**4/9 - 2*t**3/3 + 4*t**2 - 8*t/9 - 16/3 = 0.
-6, -1, 2
Factor 3*r**3 + 243*r**2 + 477*r + 237.
3*(r + 1)**2*(r + 79)
Factor 2*h**2 + 344*h + 342.
2*(h + 1)*(h + 171)
What is b in b**4/10 - 38*b**3/5 + 74*b**2/5 = 0?
0, 2, 74
Let 3*t**3 + 30*t**2 - 72*t = 0. What is t?
-12, 0, 2
Let -51*k**3 + 414*k**2 - 660*k + 72 = 0. Calculate k.
2/17, 2, 6
Factor 2*z**2/9 - 34*z/9 + 28/3.
2*(z - 14)*(z - 3)/9
Find n, given that n**2/2 - 17*n + 132 = 0.
12, 22
Let 5*x**3 - 175*x**2 + 1440*x + 1620 = 0. What is x?
-1, 18
Suppose 16*v**4 - 84*v**3 + 4*v**2 + 84*v - 20 = 0. Calculate v.
-1, 1/4, 1, 5
What is m in -m**4/3 - 25*m**3/3 - 41*m**2 - 175*m/3 - 76/3 = 0?
-19, -4, -1
Suppose 13*h**5/3 - 2134*h**4/3 + 85582*h**3/3 + 163840*h**2/3 + 62333*h/3 - 13778/3 = 0. Calculate h.
-1, 2/13, 83
Find c, given that -5*c**4 - 885*c**3 - 5190*c**2 - 10300*c - 6840 = 0.
-171, -2
Determine f, given that 25*f**3 + 85*f**2 - 2985*f + 1755 = 0.
-13, 3/5, 9
Let 22*r**2 + 58*r + 36 = 0. Calculate r.
-18/11, -1
Let v**4 - 73*v**3 - 82*v**2 + 580*v + 888 = 0. Calculate v.
-2, 3, 74
Find w, given that -2*w**4 + 232*w**3/3 - 2942*w**2/3 + 4220*w - 2400 = 0.
2/3, 8, 15
Solve -2*c**5/19 - 24*c**4/19 - 108*c**3/19 - 224*c**2/19 - 210*c/19 - 72/19 = 0 for c.
-4, -3, -1
Factor -2*b**3/5 + 178*b**2/5 + 192*b/5 - 216.
-2*(b - 90)*(b - 2)*(b + 3)/5
Solve -2*g**5/9 - 22*g**4/9 + 292*g**3/9 + 1420*g**2/9 - 18850*g/9 + 42250/9 = 0 for g.
-13, 5
Factor 2*f**4 - 202*f**3 + 594*f**2 - 590*f + 196.
2*(f - 98)*(f - 1)**3
Solve -v**2 + 35*v - 124 = 0.
4, 31
Factor c**2 + 183*c - 370.
(c - 2)*(c + 185)
Solve t**5/7 + 118*t**4/7 + 480*t**3 - 7426*t**2 - 2546977*t/7 - 2491752/7 = 0.
-47, -1, 24
What is z in 3*z**5/7 + 9*z**4/7 - 9*z**3/7 - 3*z**2 + 18*z/7 = 0?
-3, -2, 0, 1
Determine d, given that -5*d**3/4 + 5*d**2/4 + 5*d/4 - 5/4 = 0.
-1, 1
Factor -f**4/6 + 13*f**3/3 - 106*f**2/3 + 275*f/3 - 121/2.
-(f - 11)**2*(f - 3)*(f - 1)/6
Find p, given that -3*p**2/2 + 396*p - 26136 = 0.
132
What is a in 5*a**2/3 + 125*a/3 - 140 = 0?
-28, 3
What is p in -2*p**2/7 + 18*p/7 + 20/7 = 0?
-1, 10
Factor 3*w**4 + 15*w**3 + 9*w**2 - 27*w.
3*w*(w - 1)*(w + 3)**2
Factor -3*z**3/2 + 93*z**2 + 579*z/2 + 195.
-3*(z - 65)*(z + 1)*(z + 2)/2
Let 3*g**3 + 24*g**2 - 33*g - 54 = 0. What is g?
-9, -1, 2
Suppose 5*g**2 + 2710*g + 367205 = 0. Calculate g.
-271
Determine n, given that -6*n**2/11 + 18*n/11 + 3888/11 = 0.
-24, 27
Determine a so that -2*a**4 - 60*a**3 - 568*a**2 - 1476*a + 2106 = 0.
-13, -9, 1
Factor -3*d**3 - 156*d**2 + 165*d + 318.
-3*(d - 2)*(d + 1)*(d + 53)
Factor 3*r**3 + 6*r**2 - 9*r.
3*r*(r - 1)*(r + 3)
Suppose 9*z**2 + 322*z - 72 = 0. Calculate z.
-36, 2/9
Factor 2*i**5 - 188*i**4 - 196*i**3 + 560*i**2 + 946*i + 380.
2*(i - 95)*(i - 2)*(i + 1)**3
Determine v so that 4*v**2 + 792*v + 39204 = 0.
-99
Suppose -2*y**4 - 24*y**3 - 26*y**2 + 420*y + 784 = 0. Calculate y.
-7, -2, 4
Factor 2*q**3/21 + 1628*q**2/7 + 1325192*q/7 + 1078706288/21.
2*(q + 814)**3/21
Factor -s**3/3 + 5*s**2 + 11*s + 17/3.
-(s - 17)*(s + 1)**2/3
Suppose -2*g**3/7 + 26*g/7 + 24/7 = 0. What is g?
-3, -1, 4
Factor o**3/3 + 10*o**2/3 - 13*o.
o*(o - 3)*(o + 13)/3
Factor -3*i**2 - 312*i - 8112.
-3*(i + 52)**2
Suppose -14*x**3/3 - 752*x**2/3 - 3330*x + 972 = 0. Calculate x.
-27, 2/7
Factor -5*a**4 + 20*a**2.
-5*a**2*(a - 2)*(a + 2)
Factor w**2/3 + 4*w/3.
w*(w + 4)/3
Factor 20*c**2 - 1155*c - 290.
5*(c - 58)*(4*c + 1)
Suppose 25*t**5 - 165*t**4 + 380*t**3 - 320*t**2 + 80 = 0. What is t?
-2/5, 1, 2
Solve -2*l**3/5 + 168*l**2/5 - 3528*l/5 = 0.
0, 42
What is i in 15*i**5 + 70*i**4 + 80*i**3 + 10*i**2 - 15*i = 0?
-3, -1, 0, 1/3
Factor 4*u**3 + 472*u**2.
4*u**2*(u + 118)
Factor -18*x**3/5 + 921*x**2/5 - 11388*x/5 - 2028.
-3*(x - 26)**2*(6*x + 5)/5
Factor 2*h**3/9 - 328*h**2/9 - 664*h/9.
2*h*(h - 166)*(h + 2)/9
Factor -3*n**3/7 + 57*n**2/7 + 342*n/7 + 432/7.
-3*(n - 24)*(n + 2)*(n + 3)/7
Let 6*d**4/11 + 6*d**3/11 - 24*d**2/11 - 24*d/11 = 0. What is d?
-2, -1, 0, 2
Solve r**5 - 108*r**4 + 3888*r**3 - 46656*r**2 = 0.
0, 36
Determine o, given that o**4 - 5*o**3 + 6*o**2 = 0.
0, 2, 3
Solve -57*x**4 + 120*x**3 - 69*x**2 + 6*x = 0 for x.
0, 2/19, 1
Determine c, given that -4*c**3 + 284*c**2 - 5888*c + 28672 = 0.
7, 32
What is u in 3*u**4 + 63*u**3 - 72*u**2 - 132*u = 0?
-22, -1, 0, 2
Solve -10*c**3 + 14*c**2 + 12*c = 0 for c.
-3/5, 0, 2
Solve r**5 + 34*r**4 - 71*r**3 + 36*r**2 = 0.
-36, 0, 1
Suppose -5*b**2/3 + 290*b/3 = 0. What is b?
0, 58
Let 4*s**3 - 468*s**2 + 14364*s - 38988 = 0. What is s?
3, 57
Suppose h**2/3 - 10*h/3 + 25/3 = 0. What is h?
5
Solve -3*m**4 - 66*m**3 - 243*m**2 + 264*m + 1020 = 0.
-17, -5, -2, 2
Solve -2*y**5/7 - 40*y**4/7 - 54*y**3/7 + 328*y**2/7 + 8*y - 288/7 = 0 for y.
-18, -4, -1, 1, 2
Factor -2*n**2 + 384*n.
-2*n*(n - 192)
Solve -f**4/3 + 8*f**3 - 22*f**2/3 - 8*f + 23/3 = 0 for f.
-1, 1, 23
Suppose -54*v**3 - 402*v**2 - 512*v/3 - 56/3 = 0. What is v?
-7, -2/9
What is m in -21*m**5 - 72*m**4 - 15*m**3 + 36*m**2 = 0?
-3, -1, 0, 4/7
Factor 6*m**3 + 56*m**2 + 50*m - 112.
2*(m - 1)*(m + 8)*(3*m + 7)
Let -6075*s**2/2 - 270*s - 6 = 0. Calculate s.
-2/45
What is k in -4*k**5 + 20*k**4 + 56*k**3 - 496*k**2 + 992*k - 640 = 0?
-5, 2, 4
Let q**4/4 + 5*q**3/4 - 21*q**2/4 + 23*q/4 - 2 = 0. What is q?
-8, 1
Factor 2*y**4/3 - 10*y**3/3 - 16*y**2/3 + 32*y.
2*y*(y - 4)**2*(y + 3)/3
Find k, given that -k**3/8 + 3*k**2/2 + 79*k/8 + 51/4 = 0.
-3, -2, 17
Let 10*l**4/7 - 122*l**3/7 + 234*l**2/7 - 142*l/7 + 20/7 = 0. Calculate l.
1/5, 1, 10
Factor -3*x**2 + 102*x - 435.
-3*(x - 29)*(x - 5)
Factor -3*x**2 + 606*x - 30603.
-3*(x - 101)**2
Factor 35*l**3/3 - 37*l**2/3 + 2*l/3.
l*(l - 1)*(35*l - 2)/3
Solve r**3/6 - 43*r**2/3 + 1849*r/6 = 0 for r.
0, 43
Determine r, given that 2*r**2/15 + 52*r/5 = 0.
-78, 0
Factor -4*n**3 + 48*n + 64.
-4*(n - 4)*(n + 2)**2
Suppose -m**2 - 787*m - 1570 = 0. What is m?
-785, -2
Factor 685*a**3/6 + 2735*a**2/2 + 4080*a - 90.
5*(a + 