for z.
-69, 1/5, 2
Solve -40*r**2/3 + r/3 = 0 for r.
0, 1/40
Determine n, given that -3*n**4 + 106*n**3 - 569*n**2 - 1334*n + 504 = 0.
-2, 1/3, 9, 28
What is g in 4*g**2 - 520*g + 16900 = 0?
65
Find q, given that -2*q**3/5 - 2242*q**2/5 + 11252*q/5 - 9008/5 = 0.
-1126, 1, 4
Factor -4*q**4 - 152*q**3 + 4640*q**2.
-4*q**2*(q - 20)*(q + 58)
Factor 3*p**3 - 12*p**2 + 3*p + 18.
3*(p - 3)*(p - 2)*(p + 1)
Factor 2*v**2 + 180*v + 522.
2*(v + 3)*(v + 87)
Factor -4*o**3/3 - 8*o**2/3 - 4*o/3.
-4*o*(o + 1)**2/3
What is q in -28*q**5 - 180*q**4 - 44*q**3 + 852*q**2 + 360*q = 0?
-5, -3, -3/7, 0, 2
Factor 4*f**5 + 88*f**4 + 240*f**3 + 232*f**2 + 76*f.
4*f*(f + 1)**3*(f + 19)
Find r, given that -8*r**5 - 90*r**4 - 102*r**3 - 20*r**2 = 0.
-10, -1, -1/4, 0
Factor 2*j**3/5 - 64*j**2/15 + 94*j/15 - 12/5.
2*(j - 9)*(j - 1)*(3*j - 2)/15
Factor 4*q**3/5 + 88*q**2/5 - 4*q/5 - 88/5.
4*(q - 1)*(q + 1)*(q + 22)/5
Determine d, given that d**3/8 + 3*d**2/4 - 15*d/8 + 1 = 0.
-8, 1
Factor 3*o**2 + 4170*o + 4167.
3*(o + 1)*(o + 1389)
Solve -3*y**4 + 63*y**3 - 435*y**2 + 1125*y - 750 = 0.
1, 5, 10
Determine r so that -r**2/4 + 51*r - 2601 = 0.
102
Factor 2*z**2/7 + 62*z/7.
2*z*(z + 31)/7
Factor 2*q**4 - 4*q**3 - 16*q**2.
2*q**2*(q - 4)*(q + 2)
Solve -d**3/9 - 32*d**2/9 + 67*d/9 - 34/9 = 0.
-34, 1
Factor b**5 - 32*b**4 + 28*b**3 + 98*b**2 - 157*b + 62.
(b - 31)*(b - 1)**3*(b + 2)
Find s, given that -3*s**4/7 - 6*s**3 - 36*s**2/7 + 6*s + 39/7 = 0.
-13, -1, 1
Factor 2*s**3/3 - 278*s**2/3 + 3266*s - 3174.
2*(s - 69)**2*(s - 1)/3
Factor 5*v**4/6 - 25*v**3/6 + 5*v**2/3 + 20*v/3.
5*v*(v - 4)*(v - 2)*(v + 1)/6
Solve 5*o**4 - 245*o**3 + 700*o**2 - 460*o = 0 for o.
0, 1, 2, 46
Suppose -3*i**3/7 + 12*i**2 - 75*i/7 - 162/7 = 0. Calculate i.
-1, 2, 27
Suppose 4*b**5 + 44*b**4 + 172*b**3 + 292*b**2 + 224*b + 64 = 0. What is b?
-4, -1
Find a such that a**4/3 + 10*a**3 + 75*a**2 = 0.
-15, 0
What is v in 2*v**5/5 - 6*v**4/5 - 4*v**3/5 + 12*v**2/5 + 2*v/5 - 6/5 = 0?
-1, 1, 3
Factor 2*v**2 - 12*v + 10.
2*(v - 5)*(v - 1)
Suppose -i**2 - 5136*i - 6594624 = 0. What is i?
-2568
Solve 2*m**5/3 + 212*m**4/3 + 1942*m**3 + 11024*m**2/3 + 5408*m/3 = 0.
-52, -1, 0
Determine q, given that 12*q**5 + 116*q**4 + 260*q**3 - 100*q**2 = 0.
-5, 0, 1/3
Factor -2*l**4/17 - 58*l**3/17 + 122*l**2/17 - 62*l/17.
-2*l*(l - 1)**2*(l + 31)/17
Determine d, given that -4*d**2 + 2644*d + 13320 = 0.
-5, 666
Find u such that 2*u**3/11 + 94*u**2/11 - 18*u/11 - 846/11 = 0.
-47, -3, 3
Suppose 2*v**5 + 14*v**4 + 22*v**3 + 10*v**2 = 0. Calculate v.
-5, -1, 0
Suppose 5*z**3 - 50*z**2 - 405*z + 4050 = 0. Calculate z.
-9, 9, 10
Solve -3*g**3 + 1005*g**2 - 83664*g - 84672 = 0 for g.
-1, 168
Factor -5*j**2 - 260*j + 265.
-5*(j - 1)*(j + 53)
Suppose -4*i**5/3 - 1796*i**4/9 + 8012*i**3/9 + 484*i**2/9 - 6800*i/3 - 1232 = 0. What is i?
-154, -1, -2/3, 3
Suppose h**3/10 + 44*h**2/5 + 968*h/5 = 0. Calculate h.
-44, 0
Factor o**3/8 - 183*o**2 - 1465*o/8.
o*(o - 1465)*(o + 1)/8
Factor -v**3 - 13*v**2 + v + 13.
-(v - 1)*(v + 1)*(v + 13)
What is d in 49*d**2/6 - 287*d + 5043/2 = 0?
123/7
Factor 338*s**3/7 + 52*s**2 + 14*s.
2*s*(13*s + 7)**2/7
Solve 5*r**4 - 110*r**3 + 440*r**2 - 210*r - 765 = 0.
-1, 3, 17
Factor i**3/4 + 11*i**2/4 + 17*i/2 + 6.
(i + 1)*(i + 4)*(i + 6)/4
Factor 2*f**2/5 + 162*f/5 + 316/5.
2*(f + 2)*(f + 79)/5
What is x in -45*x**2 + 42*x + 3 = 0?
-1/15, 1
Factor 9*y**4 + 39*y**3 - 155*y**2 + 89*y - 14.
(y - 2)*(y + 7)*(3*y - 1)**2
Suppose w**3/2 + 7*w**2/2 + 6*w = 0. Calculate w.
-4, -3, 0
Factor 2*l**3/23 + 188*l**2/23 + 4018*l/23 - 19208/23.
2*(l - 4)*(l + 49)**2/23
Factor -3*u**2 + 78*u + 693.
-3*(u - 33)*(u + 7)
Factor -x**2/2 + 2*x + 21/2.
-(x - 7)*(x + 3)/2
Factor -35*c**3 + 25*c**2 + 80*c + 20.
-5*(c - 2)*(c + 1)*(7*c + 2)
Suppose m**4 + 226*m**3 - 228*m**2 - 226*m + 227 = 0. What is m?
-227, -1, 1
Factor -2*i**2 - 1438*i + 1440.
-2*(i - 1)*(i + 720)
Solve h**2/6 + 7*h/3 + 15/2 = 0 for h.
-9, -5
Factor -2*q**4 - 20*q**3 + 22*q**2.
-2*q**2*(q - 1)*(q + 11)
Factor 3*x**5/5 - 87*x**4/5 + 117*x**3 + 135*x**2.
3*x**2*(x - 15)**2*(x + 1)/5
Solve -484*t**4 - 308*t**3 + 160*t**2 - 16*t = 0 for t.
-1, 0, 2/11
Let -w**5 + 11*w**4 - 30*w**3 - 22*w**2 + 95*w + 75 = 0. What is w?
-1, 3, 5
Factor -o**4/12 + o**3/4 + o**2/4 - 11*o/12 + 1/2.
-(o - 3)*(o - 1)**2*(o + 2)/12
Determine q so that -q**2/4 + 452*q - 204304 = 0.
904
Find l, given that -l**2/6 + 202*l/3 - 20402/3 = 0.
202
Suppose -2*p**5/9 + 2*p**4/3 + 2*p**3 - 46*p**2/9 - 16*p/3 + 8 = 0. What is p?
-2, 1, 3
Factor -a**2/4 + 153*a/2 + 310.
-(a - 310)*(a + 4)/4
Determine x so that 2*x**5/15 + 4*x**4/15 - 2*x**3 - 24*x**2/5 = 0.
-3, 0, 4
Solve 6*h**2/25 - 752*h/25 + 10 = 0 for h.
1/3, 125
Factor -3*b**2/4 + 5819*b/4 - 1939/2.
-(b - 1939)*(3*b - 2)/4
What is d in d**4 - 63*d**3 + 958*d**2 + 1152*d - 2048 = 0?
-2, 1, 32
Factor -3*z**2 - 6*z + 9.
-3*(z - 1)*(z + 3)
Factor -o**5 - 9*o**4 + 46*o**3 - 74*o**2 + 51*o - 13.
-(o - 1)**4*(o + 13)
What is z in 245*z**3 - 70*z**2 - 145*z - 30 = 0?
-3/7, -2/7, 1
Factor d**2/2 - 68*d - 137/2.
(d - 137)*(d + 1)/2
Factor -14*b**2 - 4*b.
-2*b*(7*b + 2)
Let 16*w**3 + 108*w**2 + 164*w - 48 = 0. Calculate w.
-4, -3, 1/4
Let 2*o**2/7 + 380*o/7 + 18050/7 = 0. Calculate o.
-95
Determine p, given that 33*p**3 + 258*p**2 - 48*p = 0.
-8, 0, 2/11
Solve 14*v**2 - 102*v + 28 = 0 for v.
2/7, 7
Factor 4*h**2 + 103*h.
h*(4*h + 103)
Determine h, given that -2*h**4 - 32*h**3 - 166*h**2 - 328*h - 192 = 0.
-8, -4, -3, -1
Find w such that -w**4 + 125*w**3 + 382*w**2 + 256*w = 0.
-2, -1, 0, 128
Solve 5*t**4 - 40*t**3 + 100*t**2 - 80*t = 0 for t.
0, 2, 4
Determine z so that -105*z**4 + 292*z**3 + 71*z**2 - 6*z = 0.
-2/7, 0, 1/15, 3
Find a, given that -4*a**3 - 60*a**2 - 216*a = 0.
-9, -6, 0
Factor -y**5 - 3*y**4 + 6*y**3 + 10*y**2 - 21*y + 9.
-(y - 1)**3*(y + 3)**2
Find c, given that 5*c**2 - 85*c + 150 = 0.
2, 15
Factor -5*d**2 - 1440*d - 1435.
-5*(d + 1)*(d + 287)
Solve -3*j**3 + 3*j**2 + 30*j + 24 = 0.
-2, -1, 4
Factor -q**4/4 - 67*q**3/4 + 69*q**2/4 + 67*q/4 - 17.
-(q - 1)**2*(q + 1)*(q + 68)/4
Suppose -5*q**5 - 15*q**4 + 5*q**3 + 35*q**2 - 20 = 0. Calculate q.
-2, -1, 1
Determine s, given that -s**3/5 - 237*s**2 - 93615*s - 12325975 = 0.
-395
Factor -3*m**3 + 9*m**2 + 84*m.
-3*m*(m - 7)*(m + 4)
What is o in 2*o**3/5 + 6*o**2 - 2*o/5 - 6 = 0?
-15, -1, 1
Factor -2*h**3/7 + 24*h/7 - 32/7.
-2*(h - 2)**2*(h + 4)/7
Factor g**5/2 + 9*g**4/2 + 14*g**3 + 18*g**2 + 8*g.
g*(g + 1)*(g + 2)**2*(g + 4)/2
Factor 3*h**3/4 + 135*h**2/4 - 279*h/4 + 141/4.
3*(h - 1)**2*(h + 47)/4
Factor -3*n**3 - 27*n**2 - 18*n + 48.
-3*(n - 1)*(n + 2)*(n + 8)
Factor -2*v**2 + 42*v + 144.
-2*(v - 24)*(v + 3)
Solve -8*v**5 + 18*v**4 - 4*v**3 = 0 for v.
0, 1/4, 2
Suppose -8*v**5/3 - 124*v**4/3 - 572*v**3/3 - 640*v**2/3 + 832*v/3 + 512/3 = 0. Calculate v.
-8, -4, -1/2, 1
What is l in -l**5 - 13*l**4 + 5*l**3 + 65*l**2 - 4*l - 52 = 0?
-13, -2, -1, 1, 2
Factor -5*g**4 - 70*g**3 - 55*g**2 + 130*g.
-5*g*(g - 1)*(g + 2)*(g + 13)
Solve -10*y**5/11 - 364*y**4/11 + 226*y**3/11 + 148*y**2/11 = 0.
-37, -2/5, 0, 1
Determine x so that 3*x**2 - 81*x - 594 = 0.
-6, 33
Factor -3*o**4/8 - 42*o**3 - 1764*o**2 - 32928*o - 230496.
-3*(o + 28)**4/8
Let -5*q**3 + 120*q**2 - 325*q + 210 = 0. Calculate q.
1, 2, 21
Suppose -3*j**5/5 + 6*j**4/5 + 6*j**3 - 12*j**2 - 27*j/5 + 54/5 = 0. What is j?
-3, -1, 1, 2, 3
Factor -g**4/2 - 3*g**3 - 6*g**2 - 5*g - 3/2.
-(g + 1)**3*(g + 3)/2
Factor -4*z**4 + 84*z**3 + 200*z**2 - 336*z - 736.
-4*(z - 23)*(z - 2)*(z + 2)**2
Find h, given that 2*h**5 - 75*h**4/2 - 967*h**3/2 - 2017*h**2/2 + 2355*h/2 + 350 = 0.
-5, -1/4, 1, 28
Suppose -2*z**2/3 - 10454*z/15 - 836/3 = 0. What is z?
-1045, -2/5
Factor 3*f**4/5 + 12*f**3/5 - 48*f/5 - 48/5.
3*(f - 2)*(f + 2)**3/5
Factor 3*s**4 - 60*s**3 + 54*s**2 + 60*s - 57.
3*(s - 19)*(s - 1)**2*(s + 1)
Solve 5*b**3 + 370*b**2 + 1420*b + 1400 = 0.
-70, -2
Factor -4*u**2 + 72*u/5 + 32/5.
-4*(u - 4)*(5*u + 2)/5
Factor -3*k**3 - 3*k**2 + 6*k.
-3*k*(k - 1)*(k + 2)
Factor -3*w**2 + 213*w.
-3*w*(w - 71)
Determine q, given that -5*q**2 - 225*q - 2530 = 0.
-23, -22
Factor 2*k**4 + 32*k**3 - 70*k**2 + 36*k.
2*k*(k - 1)**2*(k + 18)
Factor 55*y**2/3 + 430*y/3 - 80/3.
5*(y + 8)*(11*y - 2)/3
Find a, given that 18*a**5/5 - 1671*a**4/5 + 2991*a**3/5 + 1104*a**2/5 - 1092*a/5 =