 294 = 0. Calculate z.
-7, 42
Determine f, given that 3*f**2 - 294*f + 291 = 0.
1, 97
Factor -4*s**3/7 - 52*s**2/7 - 156*s/7 - 108/7.
-4*(s + 1)*(s + 3)*(s + 9)/7
Find k such that -2*k**5/11 - 34*k**4/11 - 150*k**3/11 + 26*k**2/11 + 544*k/11 - 384/11 = 0.
-8, -3, 1
Factor 4*u**3/7 - 92*u**2 - 656*u/7 + 1296/7.
4*(u - 162)*(u - 1)*(u + 2)/7
Factor -o**2/4 - 3*o/4 + 5/2.
-(o - 2)*(o + 5)/4
Factor -3*d**3 + 3*d**2 + 36*d.
-3*d*(d - 4)*(d + 3)
Solve -3*z**4/4 - 15*z**3/2 - 99*z**2/4 - 33*z - 15 = 0.
-5, -2, -1
Solve 25*a**5/4 - 15*a**4 - 20*a**3 + 45*a**2/2 + 55*a/4 - 15/2 = 0 for a.
-1, 2/5, 1, 3
Determine x, given that 2*x**3/11 - 4038*x**2/11 - 8082*x/11 - 4042/11 = 0.
-1, 2021
Find s, given that -s**2/4 - 181*s/2 + 363/4 = 0.
-363, 1
Let -5*h**3 + 35*h**2 - 60*h = 0. Calculate h.
0, 3, 4
Factor -2*c**2/5 + 62*c/5 - 336/5.
-2*(c - 24)*(c - 7)/5
Factor -3*b**5 + 27*b**4 - 24*b**3.
-3*b**3*(b - 8)*(b - 1)
Factor -4*s**3/7 + 72*s**2/7 + 156*s/7 + 80/7.
-4*(s - 20)*(s + 1)**2/7
Factor 2*x**2/9 - 188*x/9 + 4418/9.
2*(x - 47)**2/9
Factor -d**5 + 5*d**4 - 2*d**3 - 8*d**2.
-d**2*(d - 4)*(d - 2)*(d + 1)
Factor 3*w**2 - 15*w - 42.
3*(w - 7)*(w + 2)
Factor m**2/8 + 47*m/4 - 291/8.
(m - 3)*(m + 97)/8
Find o such that o**5/8 + 7*o**4/8 + 7*o**3/8 - 23*o**2/8 - o + 2 = 0.
-4, -1, 1
Solve 3*w**4 + 3*w**3 - 6*w**2 = 0 for w.
-2, 0, 1
Solve 4*h**4 + 4*h**3 - 312*h**2 - 720*h + 2592 = 0.
-6, 2, 9
Suppose -r**5/2 + r**4 + 7*r**3/2 + 2*r**2 = 0. Calculate r.
-1, 0, 4
Factor -i**4/4 - 115*i**3/4 - 2223*i**2/2 - 14801*i - 13718.
-(i + 1)*(i + 38)**3/4
Solve -n**4 - 97*n**3/3 - 178*n**2 + 400*n/3 = 0.
-25, -8, 0, 2/3
Factor -18*u**3 - 138*u**2 + 208*u - 72.
-2*(u + 9)*(3*u - 2)**2
Find n such that -4*n**3 + 20*n**2 + 24*n = 0.
-1, 0, 6
Find b, given that -2*b**5/5 + 2*b**4 + 2*b**3/5 - 2*b**2 = 0.
-1, 0, 1, 5
Suppose f**5/7 + 881*f**4/7 + 193598*f**3/7 - 195362*f**2/7 - 27657*f + 27783 = 0. What is f?
-441, -1, 1
Solve -a**4/3 - 5*a**3 - 13*a**2/3 + 5*a + 14/3 = 0.
-14, -1, 1
Factor -d**5 - 18*d**4 - 17*d**3.
-d**3*(d + 1)*(d + 17)
Determine k, given that 3*k**4 - 129*k**3/2 - 177*k**2 - 72*k = 0.
-2, -1/2, 0, 24
Let 29*i**2/7 - 8*i + 27/7 = 0. What is i?
27/29, 1
Solve 124*n**3 - 252*n**2 - 364*n + 12 = 0 for n.
-1, 1/31, 3
Factor 38*o**4 + 2*o**3 - 38*o**2 - 2*o.
2*o*(o - 1)*(o + 1)*(19*o + 1)
Factor -o**3 - 87*o**2 - 2280*o - 15884.
-(o + 11)*(o + 38)**2
What is m in m**3/9 - m**2/9 - 16*m/9 + 16/9 = 0?
-4, 1, 4
Suppose -105*d**3 + 464*d**2 - 180*d + 16 = 0. Calculate d.
2/15, 2/7, 4
Factor -2*d**5/5 + 68*d**4/5 - 504*d**3/5 - 1296*d**2/5.
-2*d**2*(d - 18)**2*(d + 2)/5
Let -2*s**4 + s**3/2 + 6*s**2 + 5*s/2 - 1 = 0. What is s?
-1, 1/4, 2
Factor 3*u**4 + 30*u**3 + 99*u**2 + 120*u + 48.
3*(u + 1)**2*(u + 4)**2
Factor d**5 + 2*d**4 - 4*d**3 - 2*d**2 + 3*d.
d*(d - 1)**2*(d + 1)*(d + 3)
Factor z**4/3 + 4*z**3/3 - 5*z**2/3.
z**2*(z - 1)*(z + 5)/3
Factor 20*v**2 - 675*v - 170.
5*(v - 34)*(4*v + 1)
Find j, given that 250*j**5/9 - 550*j**4/3 + 2180*j**3/9 - 932*j**2/9 + 18*j - 10/9 = 0.
1/5, 1, 5
Factor 4*z**4/3 - 17*z**3/3 - 431*z**2/3 - 104*z.
z*(z - 13)*(z + 8)*(4*z + 3)/3
Let -z**4 + 14*z**3 - 53*z**2 + 40*z = 0. What is z?
0, 1, 5, 8
Solve -14*o**4/17 + 300*o**3/17 - 1784*o**2/17 + 1680*o/17 + 1600/17 = 0 for o.
-4/7, 2, 10
Factor h**3/8 + 9*h**2/4 + 35*h/8 - 75/4.
(h - 2)*(h + 5)*(h + 15)/8
Find x, given that -x**4 - 248*x**3 - 22578*x**2 - 887216*x - 12526885 = 0.
-71, -35
Factor -m**4 + 496*m**3 - 92256*m**2 + 7626496*m - 236421376.
-(m - 124)**4
Let -7*h**5/2 + 225*h**4 + 327*h**3/2 - 65*h**2 = 0. What is h?
-1, 0, 2/7, 65
Let 100*l**4 - 535*l**3 + 840*l**2 - 275*l - 130 = 0. What is l?
-1/4, 1, 2, 13/5
Let -2*y**2/9 - 184*y/9 - 4232/9 = 0. Calculate y.
-46
Determine y so that 27*y**2 - 249*y + 54 = 0.
2/9, 9
Factor 5*q**2/4 - 1325*q/2 + 351125/4.
5*(q - 265)**2/4
Factor y**5 - 5*y**4 + 9*y**3 - 7*y**2 + 2*y.
y*(y - 2)*(y - 1)**3
Let -98*u**4/15 - 364*u**3/3 + 282*u**2/5 + 184*u/3 + 152/15 = 0. Calculate u.
-19, -2/7, 1
Let -n**4/5 - 1466*n**3/5 - 2628*n**2 - 39366*n/5 - 39339/5 = 0. What is n?
-1457, -3
Factor -3*n**3 - 231*n**2 - 1488*n - 1260.
-3*(n + 1)*(n + 6)*(n + 70)
Solve -5*b**4 - 155*b**3 - 650*b**2 = 0.
-26, -5, 0
Suppose 4*r**5 - 16*r**4 + 40*r**2 - 4*r - 24 = 0. Calculate r.
-1, 1, 2, 3
Factor 2*g**4 - 6*g**3.
2*g**3*(g - 3)
Factor -5*o**3 - 14025*o**2 - 13113375*o - 4087001875.
-5*(o + 935)**3
Find b, given that 2*b**4/15 - 4*b**2/5 + 16*b/15 - 2/5 = 0.
-3, 1
Suppose 2*c**5/3 + 14*c**4/3 - 6*c**3 - 14*c**2/3 + 16*c/3 = 0. Calculate c.
-8, -1, 0, 1
Determine r so that -r**4 - 1804*r**3 + r**2 + 1804*r = 0.
-1804, -1, 0, 1
Find n, given that 5*n**4 + 95*n**3 + 570*n**2 + 1120*n + 640 = 0.
-8, -2, -1
Let -4*n**2 - 224*n + 1764 = 0. Calculate n.
-63, 7
Factor 3*o**5 - 171*o**4 - 1344*o**3.
3*o**3*(o - 64)*(o + 7)
Factor 4*f**2/5 + 120*f + 1184/5.
4*(f + 2)*(f + 148)/5
Factor l**4 + 5*l**3 - 42*l**2 + 76*l - 40.
(l - 2)**2*(l - 1)*(l + 10)
Factor -q**3/11 + 6*q**2/11 - 9*q/11.
-q*(q - 3)**2/11
Determine a, given that 3*a**2/5 + 147*a/5 - 306/5 = 0.
-51, 2
Factor q**5/4 - q**4/2 - 2*q**3 - q**2/2 + 7*q/4 + 1.
(q - 4)*(q - 1)*(q + 1)**3/4
Find c, given that -2*c**2 - 24*c + 26 = 0.
-13, 1
Factor -27*b**3/2 + 3*b**2.
-3*b**2*(9*b - 2)/2
Solve 3*v**3/4 + 3*v**2/2 + 3*v/4 = 0.
-1, 0
Solve 3*f**3 + 12*f**2 - 33*f + 18 = 0 for f.
-6, 1
Find j such that -2*j**2/7 + 6*j = 0.
0, 21
Factor 4*s**2 - 1200*s - 4864.
4*(s - 304)*(s + 4)
Factor 3*n**2 + 390*n - 792.
3*(n - 2)*(n + 132)
Solve -10*u**2 + 83135*u + 41570 = 0 for u.
-1/2, 8314
Let -5*j**5 + 5*j**4 + 65*j**3 - 5*j**2 - 240*j - 180 = 0. Calculate j.
-2, -1, 3
Find n such that -n**4/5 + 143*n**3/5 - 283*n**2/5 + 141*n/5 = 0.
0, 1, 141
Factor -t**5 - 3*t**4 + 22*t**3 + 90*t**2 + 27*t - 135.
-(t - 5)*(t - 1)*(t + 3)**3
Determine s, given that s**4/4 + 9*s**3/4 - s**2/4 - 9*s/4 = 0.
-9, -1, 0, 1
Factor -4*r**3/3 - 2336*r**2/3 - 2324*r/3 + 4664/3.
-4*(r - 1)*(r + 2)*(r + 583)/3
Suppose -h**4/4 - 11*h**3/4 - 21*h**2/2 - 17*h - 10 = 0. Calculate h.
-5, -2
Determine j so that -j**2/2 + 1801*j/2 = 0.
0, 1801
Suppose 2*w**5/3 - 4*w**4 - 56*w**3/3 + 4*w**2 + 18*w = 0. Calculate w.
-3, -1, 0, 1, 9
Factor -34*p**3 + 66*p**2 - 30*p - 2.
-2*(p - 1)**2*(17*p + 1)
Let -5*l**3 + 5*l**2 + 25*l + 15 = 0. What is l?
-1, 3
Find h such that -10*h**5/3 + 128*h**4/3 - 454*h**3/3 + 584*h**2/3 - 184*h/3 - 64/3 = 0.
-1/5, 1, 2, 8
Factor 4*y**3 + 4*y**2 - 88*y - 160.
4*(y - 5)*(y + 2)*(y + 4)
Factor -2*z**2/5 + 110*z + 552/5.
-2*(z - 276)*(z + 1)/5
Suppose 3*b**5/4 + 9*b**4/2 + 9*b**3/4 - 15*b**2/2 = 0. Calculate b.
-5, -2, 0, 1
Factor -2*g**2 - 28*g - 98.
-2*(g + 7)**2
What is f in -f**2 - 262*f - 17161 = 0?
-131
Suppose -f**4/3 + 8*f**3/3 + 19*f**2/3 + 10*f/3 = 0. What is f?
-1, 0, 10
Factor 2*r**3/3 - 52*r**2 + 454*r/3 - 100.
2*(r - 75)*(r - 2)*(r - 1)/3
Factor n**3/5 - 22*n**2/5 - 20*n - 104/5.
(n - 26)*(n + 2)**2/5
Determine x, given that -2*x**2 - 5168*x = 0.
-2584, 0
Find y, given that -2*y**2/11 + 3180*y/11 - 1264050/11 = 0.
795
Find q such that -20*q**4/3 - 92*q**3/3 + 320*q**2/3 - 112*q/3 = 0.
-7, 0, 2/5, 2
Factor 4*n**2 - 96*n + 576.
4*(n - 12)**2
What is g in -3*g**4 - 27*g**3 - 39*g**2 + 27*g + 42 = 0?
-7, -2, -1, 1
Determine p, given that p**2/3 - 7*p/3 + 2 = 0.
1, 6
Factor d**4/2 + 24*d**3 + 149*d**2 + 228*d + 205/2.
(d + 1)**2*(d + 5)*(d + 41)/2
Factor 4*g**2/7 - 13064*g/7 + 10666756/7.
4*(g - 1633)**2/7
Factor 2*q**3 + 12*q**2 + 18*q + 8.
2*(q + 1)**2*(q + 4)
Solve 4*z**5 + 20*z**4 + 24*z**3 = 0.
-3, -2, 0
Suppose -275*b**2 - 160*b - 20 = 0. What is b?
-2/5, -2/11
Find y, given that y**4 + 3*y**3 + 2*y**2 = 0.
-2, -1, 0
Solve 32*g**5 + 112*g**4 + 34*g**3 - 40*g**2 + 6*g = 0 for g.
-3, -1, 0, 1/4
Factor 16*c**4 - 16*c**3 - 76*c**2 - 56*c - 12.
4*(c - 3)*(c + 1)*(2*c + 1)**2
Factor -400*o**4 + 80*o**3 + 156*o**2 - 16*o - 16.
-4*(2*o - 1)**2*(5*o + 2)**2
Suppose -3*b**3 - 45*b**2 + 99*b + 2541 = 0. What is b?
-11, 7
Let v**2/5 - 44*v/5 = 0. What is v?
0, 44
Factor 3*r**4/4 + 3*r**3 + 3*r**2/4 - 9*r/2.
3*r*(r - 1)*(r + 2)*(r + 3)/4
Let 5*u**2 - 15*u + 10 = 0. Calculate u.
1, 2
Let -28*y**5 - 48*y**4 + 44*y**3 + 48*y**2 - 16*y = 0. What is y?
-2, -1, 0, 2/7, 1
Determine h, given that -2*h**3/7 + 66*h**2/7 = 0.
0, 33
Let 4*