 0.
-1023, 1
Factor -3*u**5 + 9*u**3 - 6*u**2.
-3*u**2*(u - 1)**2*(u + 2)
Factor 2*o**5/13 - 10*o**4/13 + 18*o**3/13 - 14*o**2/13 + 4*o/13.
2*o*(o - 2)*(o - 1)**3/13
Factor -3*m**3 + 369*m**2 - 1086*m + 720.
-3*(m - 120)*(m - 2)*(m - 1)
Factor -o**4/4 + 49*o**3/4 + 381*o**2/4 + 611*o/4 + 70.
-(o - 56)*(o + 1)**2*(o + 5)/4
Factor -z**2 - 3*z - 2.
-(z + 1)*(z + 2)
Factor c**4/3 - 10*c**3 + 53*c**2/3 + 28*c.
c*(c - 28)*(c - 3)*(c + 1)/3
Suppose -5*a**2 - 1400*a - 98000 = 0. What is a?
-140
Factor 4*n**2 + 988*n + 984.
4*(n + 1)*(n + 246)
Factor -2*h**5/7 - 100*h**4/7 - 1730*h**3/7 - 12440*h**2/7 - 39520*h/7 - 46208/7.
-2*(h + 4)**3*(h + 19)**2/7
Determine u, given that -18*u**4 + 382*u**3 - 2514*u**2 + 5490*u - 1100 = 0.
2/9, 5, 11
Solve -3*g**3 + 918*g**2 - 71136*g + 138624 = 0 for g.
2, 152
Factor -3*c**5/8 - 174*c**4.
-3*c**4*(c + 464)/8
Find z, given that -3*z**3 - 123*z**2 - 558*z - 648 = 0.
-36, -3, -2
Factor -v**2 - 2*v + 3.
-(v - 1)*(v + 3)
Find t, given that 3*t**5 - 78*t**4 - 441*t**3 + 15240*t**2 + 15600*t = 0.
-13, -1, 0, 20
Factor 3*u**3/4 + 9*u**2/4 - 39*u/4 - 45/4.
3*(u - 3)*(u + 1)*(u + 5)/4
Factor 4*i**4 - 52*i**3 + 140*i**2 + 196*i.
4*i*(i - 7)**2*(i + 1)
Factor 2*r**2/5 + 2*r - 28/5.
2*(r - 2)*(r + 7)/5
Factor -5*m**3/2 + 1685*m**2/2 - 144455*m/2 + 418335/2.
-5*(m - 167)**2*(m - 3)/2
Let 2*a**5 + 52*a**4 + 186*a**3 + 224*a**2 + 88*a = 0. What is a?
-22, -2, -1, 0
Suppose -5*d**4 + 23505*d**3 - 27612495*d**2 - 27636005*d = 0. Calculate d.
-1, 0, 2351
Factor -2*y**2/3 - 6*y + 1820/3.
-2*(y - 26)*(y + 35)/3
Factor -3*x**3/5 - 18*x**2/5 + 3*x/5 + 18/5.
-3*(x - 1)*(x + 1)*(x + 6)/5
Factor 2*g**4 + 256*g**3 + 7930*g**2 - 16900*g.
2*g*(g - 2)*(g + 65)**2
Let 2*x**3/3 - 92*x**2/3 + 178*x/3 - 88/3 = 0. What is x?
1, 44
Suppose -6*p**5/5 - 26*p**4/5 + 94*p**3/5 + 178*p**2/5 - 168*p/5 - 72/5 = 0. Calculate p.
-6, -2, -1/3, 1, 3
Determine l, given that -4*l**3 + 104*l**2 - 556*l + 456 = 0.
1, 6, 19
Determine l so that -3*l**3 - 122*l**2 + 41*l = 0.
-41, 0, 1/3
Solve -3*w**3 + 18*w**2 - 24*w = 0 for w.
0, 2, 4
Factor 12*p**4 + 76*p**3 - 56*p**2.
4*p**2*(p + 7)*(3*p - 2)
Determine v, given that 2*v**3/13 - 198*v**2/13 + 1134*v/13 - 1674/13 = 0.
3, 93
Determine r, given that 2*r**4/11 + 83*r**3/11 + 576*r**2/11 - 1013*r/11 + 32 = 0.
-32, -11, 1/2, 1
Factor -4*u**2 - 80*u - 400.
-4*(u + 10)**2
Factor 2*x**3/3 - 10*x**2/3 + 8*x/3.
2*x*(x - 4)*(x - 1)/3
Factor q**3/3 + 70*q**2 + 4900*q + 343000/3.
(q + 70)**3/3
Find o such that -10*o**2 - 386*o + 156 = 0.
-39, 2/5
Find t such that -5*t**2 + 700*t - 24500 = 0.
70
Suppose -10*f**4/17 + 14*f**3/17 - 4*f**2/17 = 0. What is f?
0, 2/5, 1
Let -284*u**2/3 - 7376*u/3 + 208/3 = 0. Calculate u.
-26, 2/71
Factor 2*a**2 - 36*a - 1760.
2*(a - 40)*(a + 22)
Solve -2*j**5 + 24*j**4 - 26*j**3 - 276*j**2 - 224*j = 0 for j.
-2, -1, 0, 7, 8
Find w such that 242*w**4/5 - 2486*w**3/5 - 1904*w**2/5 - 352*w/5 = 0.
-4/11, 0, 11
Factor -1083*w**2/5 + 20064*w - 464640.
-3*(19*w - 880)**2/5
Solve r**4 - 8*r**2 + 16 = 0 for r.
-2, 2
Factor -14*o**2/23 - 34*o/23 + 24/23.
-2*(o + 3)*(7*o - 4)/23
Factor -20*d**2/7 + 16*d - 60/7.
-4*(d - 5)*(5*d - 3)/7
Factor t**3 + 12*t**2 - t - 12.
(t - 1)*(t + 1)*(t + 12)
Factor -v**3/2 - 11*v**2/2 - 19*v/2 - 9/2.
-(v + 1)**2*(v + 9)/2
Determine z so that -2*z**5/5 - 72*z**4/5 + 412*z**3/5 + 72*z**2/5 - 82*z = 0.
-41, -1, 0, 1, 5
Factor -3*a**3/5 + 2259*a**2 - 2835045*a + 1185993825.
-3*(a - 1255)**3/5
Find k, given that k**5 + 9*k**4 + 27*k**3 + 27*k**2 = 0.
-3, 0
Factor -2*s**3/13 - 12*s**2/13 + 72*s/13 + 432/13.
-2*(s - 6)*(s + 6)**2/13
Let -3*p**2/5 + 558*p/5 - 543 = 0. Calculate p.
5, 181
Factor 2*t**2 - 70*t - 72.
2*(t - 36)*(t + 1)
Factor 2*g**4/11 + 192*g**3/11 - 194*g**2/11.
2*g**2*(g - 1)*(g + 97)/11
Factor d**5 - 2*d**4 + d**3.
d**3*(d - 1)**2
Solve 14*n**5 + 52*n**4 + 68*n**3 + 32*n**2 - 2*n - 4 = 0 for n.
-1, 2/7
Let 4*m**2/7 + 12456*m/7 + 12452/7 = 0. Calculate m.
-3113, -1
Determine z, given that -z**2/6 + 23*z/2 + 146/3 = 0.
-4, 73
Suppose -4*f**2/3 - 3928*f/3 - 964324/3 = 0. What is f?
-491
Factor -5*i**3/3 - 44*i**2/3 + 3*i.
-i*(i + 9)*(5*i - 1)/3
Suppose 4*i**5 + 12*i**4 - 68*i**3 - 60*i**2 + 352*i - 240 = 0. What is i?
-5, -3, 1, 2
Determine u so that u**4 + 7*u**3 - 3*u**2 - 19*u + 14 = 0.
-7, -2, 1
Solve -5*z**5 - 65*z**4 - 175*z**3 + 245*z**2 = 0.
-7, 0, 1
Factor z**2/7 + 16*z + 448.
(z + 56)**2/7
Solve -d**5 - 6*d**4 - 13*d**3 - 12*d**2 - 4*d = 0.
-2, -1, 0
Factor -350*w**3 + 4*w**2.
-2*w**2*(175*w - 2)
Factor 4*n**3 - 56*n**2 + 176*n - 160.
4*(n - 10)*(n - 2)**2
Factor -2*d**3/3 - 83*d**2/3 - 701*d/3 - 110.
-(d + 11)*(d + 30)*(2*d + 1)/3
Factor -4*n**3/5 - 236*n**2/5 - 620*n + 11532/5.
-4*(n - 3)*(n + 31)**2/5
Find m such that 2*m**5 + 2*m**4 - 30*m**3 - 50*m**2 + 28*m + 48 = 0.
-3, -2, -1, 1, 4
Solve 2*x**2/3 - 532*x/3 + 35378/3 = 0 for x.
133
What is w in -2*w**4 + 32*w**3 + 36*w**2 - 32*w - 34 = 0?
-1, 1, 17
Factor -10*l**3/9 - 4*l**2/9 + 14*l/9.
-2*l*(l - 1)*(5*l + 7)/9
Factor 20*h**5 + 256*h**4 - 52*h**3.
4*h**3*(h + 13)*(5*h - 1)
Factor -2*v**2 - 346*v - 344.
-2*(v + 1)*(v + 172)
Factor o**5/3 - 2*o**4/3 - o**3/3 + 2*o**2/3.
o**2*(o - 2)*(o - 1)*(o + 1)/3
Factor -7*m**3/2 - 4479*m**2 - 1432320*m + 409600.
-(m + 640)**2*(7*m - 2)/2
Let w**2/3 - 83*w/3 = 0. Calculate w.
0, 83
Factor -212*w**2/13 + 6*w/13.
-2*w*(106*w - 3)/13
Factor 14*o**3/3 - 164*o**2/3 - 16*o.
2*o*(o - 12)*(7*o + 2)/3
Factor 3*h**2/4 + 18*h.
3*h*(h + 24)/4
Factor -4*b**4 - 12*b**3 + 24*b**2 + 32*b.
-4*b*(b - 2)*(b + 1)*(b + 4)
Factor -10*g**4 + 11*g**3 - g**2.
-g**2*(g - 1)*(10*g - 1)
Let -k**5/4 - 3*k**4 - 11*k**3/4 = 0. Calculate k.
-11, -1, 0
Factor 11*x**2/4 - 427*x/4 - 39/2.
(x - 39)*(11*x + 2)/4
Determine g, given that 2*g**2 - 306*g - 1580 = 0.
-5, 158
Factor 4*c**3 - 16*c**2 - 28*c + 40.
4*(c - 5)*(c - 1)*(c + 2)
Solve 2*i**5/3 + 16*i**4 + 82*i**3/3 - 44*i**2 = 0 for i.
-22, -3, 0, 1
Factor p**3/7 - 25*p**2/7 + 136*p/7.
p*(p - 17)*(p - 8)/7
Factor -j**3/3 - 76*j**2/3 - 221*j/3 - 146/3.
-(j + 1)*(j + 2)*(j + 73)/3
Solve -2*h**5 + 14*h**4 + 31*h**3/2 + 4*h**2 = 0 for h.
-1/2, 0, 8
Factor -2*h**3/9 - 22*h**2/9 + 28*h/9 + 16/3.
-2*(h - 2)*(h + 1)*(h + 12)/9
Determine q so that 2*q**3/15 + 8*q**2/15 - 2*q/15 - 8/15 = 0.
-4, -1, 1
Factor -25*t**2 - 1005*t + 820.
-5*(t + 41)*(5*t - 4)
Factor a**5/2 - 9*a**4 - 19*a**3/2.
a**3*(a - 19)*(a + 1)/2
Factor -3*i**2 + 1602*i - 1599.
-3*(i - 533)*(i - 1)
Factor -2*l**4/5 + 54*l**3/5 - 456*l**2/5 + 1568*l/5 - 384.
-2*(l - 15)*(l - 4)**3/5
Factor -2*s**3/9 + 10*s**2/9 - 8*s/9.
-2*s*(s - 4)*(s - 1)/9
Solve q**3 + 6*q**2 + 5*q = 0.
-5, -1, 0
Factor 2*a**4/7 - 68*a**3/7 - 314*a**2/7 + 380*a/7.
2*a*(a - 38)*(a - 1)*(a + 5)/7
Factor -w**2/2 + 1509*w + 3019/2.
-(w - 3019)*(w + 1)/2
Find t such that -2*t**3 - 116*t**2 - 832*t - 1600 = 0.
-50, -4
Factor 4*n**3 - 28*n**2 - 3540*n - 33300.
4*(n - 37)*(n + 15)**2
Determine g, given that -16*g**5 - 68*g**4 - 84*g**3 - 4*g**2 + 52*g + 24 = 0.
-2, -1, 3/4
Determine x so that 5*x**2 + 2945*x - 5910 = 0.
-591, 2
Determine r so that -3*r**2/4 + 9*r/2 + 30 = 0.
-4, 10
Factor -3*w**4/2 - 93*w**3 - 270*w**2 - 267*w - 177/2.
-3*(w + 1)**3*(w + 59)/2
Factor -k**2 + 3*k - 2.
-(k - 2)*(k - 1)
Suppose 3*b**2 - 33*b - 78 = 0. Calculate b.
-2, 13
Factor -w**2 - 2*w + 3.
-(w - 1)*(w + 3)
Let -5*t**5/2 + 25*t**4/2 + 75*t**3 - 50*t**2 - 500*t - 480 = 0. What is t?
-2, 3, 8
Find h, given that -75*h**3/2 - 1665*h**2/2 - 1917*h/2 - 567/2 = 0.
-21, -3/5
Factor 2080800*a**3/7 + 6238320*a**2/7 - 12238*a/7 + 6/7.
2*(a + 3)*(1020*a - 1)**2/7
Determine a so that a**3/7 + 81*a**2/7 - 250*a/7 + 24 = 0.
-84, 1, 2
Solve -l**4 + 45*l**3 - 296*l**2 = 0.
0, 8, 37
Solve -5*l**4 + 30*l**3 - 20*l**2 - 30*l + 25 = 0.
-1, 1, 5
Factor -3*n**3 - 12843*n**2 - 18326961*n - 8717524449.
-3*(n + 1427)**3
Suppose -112*m**5 + 36*m**4 + 176*m**3 - 24*m**2 - 64*m - 12 = 0. What is m?
-1, -3/7, -1/4, 1
Factor 2*g**3/13 + 10*g**2/13 + 8*g/13.
2*g*(g + 1)*(g + 4)/13
Let -3*p**2/5 + 177*p/5 + 2556/5 = 0. Calculate p.
-12, 71
Find x such that 14*x**4/11 - 422*x**3/11 + 1920*x**2/11 - 3064*x/11 + 1600/11 = 0.
8/7, 2, 25
Solve -3*x**2/4 - 54*x - 213/4 = 0.
-71, -1
Factor -10*o**2 - 40835*o - 20415.
-5*(o + 4083)*(2*o + 1)
Factor -m**2 - 199*m/3 + 134/3.
-(m + 67)*(3*m