06)**2
Factor -4*p**4 + 532*p**3 - 16284*p**2 - 95220*p.
-4*p*(p - 69)**2*(p + 5)
Factor w**3/3 - 6*w**2 - w/3 + 6.
(w - 18)*(w - 1)*(w + 1)/3
Factor -2*g**5/3 + 2*g**3 - 4*g**2/3.
-2*g**2*(g - 1)**2*(g + 2)/3
Suppose 5*r**3 - 40*r**2 = 0. What is r?
0, 8
Determine t so that -5*t**2 + 95*t - 170 = 0.
2, 17
Suppose -4*d**2 + 380*d = 0. Calculate d.
0, 95
Determine w, given that -98*w**4/5 + 28*w**3 + 398*w**2/5 + 184*w/5 + 24/5 = 0.
-1, -2/7, 3
Solve 39*j**2 - 201*j + 30 = 0 for j.
2/13, 5
Factor 3*p**4/7 - 6*p**3/7 - 72*p**2/7 + 54*p/7 + 405/7.
3*(p - 5)*(p - 3)*(p + 3)**2/7
Determine i, given that i**5/8 + 5*i**4/8 = 0.
-5, 0
Factor 2*f**4 - 32*f**3 + 128*f**2.
2*f**2*(f - 8)**2
Suppose 15*m**5 - 130*m**4 - 80*m**3 + 310*m**2 + 65*m - 180 = 0. What is m?
-4/3, -1, 1, 9
Find u, given that -10*u**4 + 76*u**3 + 32*u**2 = 0.
-2/5, 0, 8
Factor 2*c**5 + 4*c**4/3 + 2*c**3/9.
2*c**3*(3*c + 1)**2/9
Factor 4*q**2 + 280*q + 276.
4*(q + 1)*(q + 69)
Factor 6*w**3/5 - 39*w**2/5 - 129*w/5 - 54/5.
3*(w - 9)*(w + 2)*(2*w + 1)/5
Find i, given that i**2/3 + 1270*i/3 + 403225/3 = 0.
-635
Factor -2*r**3/13 - 2*r**2 + 2*r/13 + 2.
-2*(r - 1)*(r + 1)*(r + 13)/13
Let -45*p**4 + 200*p**3 = 0. What is p?
0, 40/9
What is h in 2*h**3/3 - 52*h**2/3 + 256*h/3 - 320/3 = 0?
2, 4, 20
What is b in b**5 + 3*b**4 + 2*b**3 = 0?
-2, -1, 0
Suppose -5*k**4/2 + 37*k**3/6 - 7*k**2/6 - 13*k/6 - 1/3 = 0. Calculate k.
-1/3, -1/5, 1, 2
Determine i, given that -2*i**3 - 2184*i**2 + 4374*i - 2188 = 0.
-1094, 1
Determine q, given that 3*q**3 - 165*q**2 - 174*q + 336 = 0.
-2, 1, 56
What is t in t**4/4 - 3*t**2/4 + t/2 = 0?
-2, 0, 1
Solve -i**2 - 73*i - 210 = 0.
-70, -3
Suppose p**2/2 - 49/2 = 0. Calculate p.
-7, 7
What is l in -2*l**2 - 84*l - 160 = 0?
-40, -2
Factor -x**4/6 - 52*x**3/3 - 935*x**2/2 - 867*x.
-x*(x + 2)*(x + 51)**2/6
Suppose -5*c**4 + 62*c**3 - 79*c**2 + 22*c = 0. What is c?
0, 2/5, 1, 11
Suppose 6*y**4 - 15*y**3 + 3*y**2 + 6*y = 0. What is y?
-1/2, 0, 1, 2
Factor d**4/3 - 22*d**3/3 + 12*d**2 + 952*d/3 + 1568/3.
(d - 14)**2*(d + 2)*(d + 4)/3
Solve 2*k**3/11 - 650*k**2/11 + 1932*k/11 = 0 for k.
0, 3, 322
Factor -256*s**4 + 2368*s**3 - 580*s**2 + 36*s.
-4*s*(s - 9)*(8*s - 1)**2
Factor -18*d**3/11 - 384*d**2/11 + 262*d/11 - 4.
-2*(d + 22)*(3*d - 1)**2/11
Factor -3*r**3 - 219*r**2 - 4104*r - 3888.
-3*(r + 1)*(r + 36)**2
Let 3*i**2 + 1080*i = 0. What is i?
-360, 0
Let -91*x**5/6 + 89*x**4/6 + x**3/3 = 0. Calculate x.
-2/91, 0, 1
Factor 2*d**3 - 176*d**2 + 3872*d.
2*d*(d - 44)**2
Solve 5*q**5 + 7740*q**4 + 2987630*q**3 - 5998500*q**2 + 3003125*q = 0 for q.
-775, 0, 1
Determine p, given that -2*p**5/3 - 18*p**4 - 44*p**3 + 3044*p**2/3 - 2686*p + 1734 = 0.
-17, 1, 3
What is w in -w**5/2 + 2*w**4 + 7*w**3/2 - 11*w**2 - 12*w = 0?
-2, -1, 0, 3, 4
Factor t**2 + 6*t - 7.
(t - 1)*(t + 7)
Factor -2*r**2 - 140*r - 2450.
-2*(r + 35)**2
Factor -a**4/7 + 26*a**3/7 - 93*a**2/7 + 16*a - 44/7.
-(a - 22)*(a - 2)*(a - 1)**2/7
Find s, given that -4*s**4/9 + 38*s**3/9 - 98*s**2/9 + 88*s/9 - 8/3 = 0.
1/2, 1, 2, 6
What is r in 9*r**4 + 63444*r**3 + 149065200*r**2 + 116701470000*r - 77867250000 = 0?
-2350, 2/3
Factor -3*l**2/5 + 189*l/5 - 366/5.
-3*(l - 61)*(l - 2)/5
Suppose 5*x**4 + 110*x**3/3 + 275*x**2/3 + 260*x/3 + 20 = 0. Calculate x.
-3, -2, -1/3
Suppose p**2 + 95*p + 2236 = 0. What is p?
-52, -43
Determine y so that -5*y**5 - 45*y**4 - 55*y**3 + 125*y**2 + 120*y - 140 = 0.
-7, -2, 1
Factor -5*o**5 - 10*o**4 + 30*o**3 + 100*o**2 + 95*o + 30.
-5*(o - 3)*(o + 1)**3*(o + 2)
Factor -2*j**2/13 + 3734*j/13 - 7460/13.
-2*(j - 1865)*(j - 2)/13
Let 2*l**2 - 4*l - 16 = 0. Calculate l.
-2, 4
Factor 2*z**3 + 14*z**2 + 12*z.
2*z*(z + 1)*(z + 6)
Factor 4*p**4/3 - 48*p**3 - 148*p**2/3.
4*p**2*(p - 37)*(p + 1)/3
Let 4*f**4/5 + 38*f**3/5 + 18*f**2/5 = 0. Calculate f.
-9, -1/2, 0
Let -5*h**4 + 5*h**3 + 130*h**2 + 120*h = 0. Calculate h.
-4, -1, 0, 6
Solve -4*v**5/3 - 24*v**4 - 436*v**3/3 - 336*v**2 - 784*v/3 = 0 for v.
-7, -2, 0
What is l in -l**2/7 + 62*l/7 - 705/7 = 0?
15, 47
What is x in 5*x**5/6 + 7*x**4/3 - 3*x**3 - 16*x**2/3 + 37*x/6 - 1 = 0?
-3, -2, 1/5, 1
Suppose h**4 - 4*h**3 - 12*h**2 = 0. Calculate h.
-2, 0, 6
Factor z**5/2 + 6*z**4 + 35*z**3/2 - 6*z**2 - 18*z.
z*(z - 1)*(z + 1)*(z + 6)**2/2
Determine o, given that 21*o**3 + 120*o**2 - 183*o + 42 = 0.
-7, 2/7, 1
Suppose -a**5/2 - 17*a**4/2 - 111*a**3/2 - 347*a**2/2 - 260*a - 150 = 0. What is a?
-5, -3, -2
Factor 27*b**4/4 + 163*b**3/4 + 165*b**2/2 + 57*b + 2.
(b + 2)**3*(27*b + 1)/4
Factor 5*f**3 - 155*f**2.
5*f**2*(f - 31)
Let -5*s**4 - 35*s**3 + 5*s**2 + 35*s = 0. Calculate s.
-7, -1, 0, 1
Determine t so that 2*t**3/9 + 320*t**2/3 + 38078*t/3 - 232324/9 = 0.
-241, 2
Factor 4*c**3 + 140*c**2 + 732*c + 1044.
4*(c + 3)**2*(c + 29)
Factor -4*n**2 + 20*n.
-4*n*(n - 5)
Factor -334*b**3/5 - 1338*b**2/5 - 1344*b/5 - 8/5.
-2*(b + 2)**2*(167*b + 1)/5
What is k in k**5/4 - 25*k**4 + 1195*k**3/2 + 1480*k**2 - 18615*k/4 + 2601 = 0?
-4, 1, 51
Factor -4*u**2 + 320*u + 656.
-4*(u - 82)*(u + 2)
Factor g**5/4 - 20*g**4 + 96*g**3 - 341*g**2/2 + 527*g/4 - 75/2.
(g - 75)*(g - 2)*(g - 1)**3/4
Determine s, given that 2*s**3/5 - 4*s**2/5 - 6*s/5 = 0.
-1, 0, 3
Find q, given that -q**4/4 - q**3/4 + 3*q**2/2 + q - 2 = 0.
-2, 1, 2
Find q, given that 5*q**5 + 10*q**4 - 65*q**3 + 50*q**2 = 0.
-5, 0, 1, 2
Factor -2*k**4 + 40*k**3 - 218*k**2 + 324*k - 144.
-2*(k - 12)*(k - 6)*(k - 1)**2
Factor -n**2/11 + 16*n/11 + 17/11.
-(n - 17)*(n + 1)/11
Let -2*n**3/15 - 6*n**2 - 288*n/5 + 1152/5 = 0. What is n?
-24, 3
Determine w, given that w**4 + 15*w**3 + 48*w**2 - 64*w = 0.
-8, 0, 1
Factor -c**2/6 + 77*c/6.
-c*(c - 77)/6
Factor 15*h**2 + 464*h - 31.
(h + 31)*(15*h - 1)
Determine d so that 250*d**4 + 1150*d**3 - 3720*d**2 + 3232*d - 896 = 0.
-7, 4/5
Let 2*a**2/3 + 470*a/3 - 316 = 0. What is a?
-237, 2
Let 3*a**2 - 48*a - 108 = 0. Calculate a.
-2, 18
Factor -5*v**3 - 435*v**2.
-5*v**2*(v + 87)
Solve -25*v**5 - 5*v**4 + 175*v**3 - 115*v**2 - 30*v = 0 for v.
-3, -1/5, 0, 1, 2
Find g such that 3*g**2/7 - 10140*g/7 + 8568300/7 = 0.
1690
Factor -2*k**3/9 - 290*k**2 - 283402*k/3 + 852818/9.
-2*(k - 1)*(k + 653)**2/9
Find c, given that c**5/7 + 2*c**4/7 - 2*c**2/7 - c/7 = 0.
-1, 0, 1
Determine l so that 3*l**5 + 3*l**4 - 42*l**3 - 18*l**2 + 135*l - 81 = 0.
-3, 1, 3
Determine l, given that -15*l**5 + 24*l**4 + 27*l**3 - 24*l**2 - 12*l = 0.
-1, -2/5, 0, 1, 2
Factor -2*v**2 + 1024*v - 131072.
-2*(v - 256)**2
Factor h**2 - 31*h.
h*(h - 31)
Let -2*l**5 + 212*l**4 + 648*l**3 + 652*l**2 + 218*l = 0. What is l?
-1, 0, 109
Let 4*x**2/5 + 12*x/5 - 16/5 = 0. What is x?
-4, 1
Determine s so that s**2/2 + 108*s + 5832 = 0.
-108
Find y, given that -63*y**2 - 114*y + 264 = 0.
-22/7, 4/3
Factor -5*z**4 + 80*z**3 + 190*z**2 - 1560*z - 3825.
-5*(z - 17)*(z - 5)*(z + 3)**2
Suppose -3*w**2/5 - 138*w/5 = 0. What is w?
-46, 0
Factor 8*l**3/7 - 22*l**2/7 - 6*l/7.
2*l*(l - 3)*(4*l + 1)/7
Suppose 3*v**2/4 + 27*v/4 - 15/2 = 0. What is v?
-10, 1
Find y, given that -4*y**5 + 148*y**4 - 412*y**3 + 124*y**2 + 416*y - 272 = 0.
-1, 1, 2, 34
Factor -3*h**2 + 465*h + 2400.
-3*(h - 160)*(h + 5)
Factor -y**2/2 + 197*y/6 + 11.
-(y - 66)*(3*y + 1)/6
Determine m, given that -5*m**5 + 105*m**4 - 485*m**3 - 825*m**2 + 1210*m = 0.
-2, 0, 1, 11
Let 28*z**5/5 + 1772*z**4/5 + 35616*z**3/5 + 186208*z**2/5 - 844096*z/5 - 255552/5 = 0. Calculate z.
-22, -2/7, 3
Factor 4*x**2 - 924*x - 3760.
4*(x - 235)*(x + 4)
Factor 2*y**4 - 612*y**3 - 6*y**2 + 1832*y + 1224.
2*(y - 306)*(y - 2)*(y + 1)**2
Determine t so that 12*t**4 - 4*t**3 - 84*t**2 + 100*t - 24 = 0.
-3, 1/3, 1, 2
Solve -32310*v**3 + 14396*v**2 - 14504*v/9 + 16/9 = 0.
2/1795, 2/9
Factor -2*w**3 + 26*w**2 - 32*w - 384.
-2*(w - 8)**2*(w + 3)
Suppose y**5/5 - y**4/5 - 2*y**3/5 = 0. Calculate y.
-1, 0, 2
Suppose 60*y**5 + 145*y**4 + 40*y**3 - 20*y**2 = 0. Calculate y.
-2, -2/3, 0, 1/4
Factor u**2 + 2056*u + 1056784.
(u + 1028)**2
Factor 9*h**5 - 66*h**4 + 21*h**3.
3*h**3*(h - 7)*(3*h - 1)
Factor -2*t**2/17 + 46*t/17.
-2*t*(t - 23)/17
Factor -3*y**4 + 3*y**3 + 15*y**2 + 9*y.
-3*y*(y - 3)*(y + 1)**2
Let -344*r**5/3 - 718*r**4 - 4669*r**3/3 - 3838*r**2/3 - 244*r - 8/3 = 0. What is r?
-2, -1/4, -1/86
Suppose -q**3 - 15*q**2/4 + 67*q/4 + 39/2 = 0. What is q?
-6, -1, 13/4
Let u**3 + 27*u**2 + 68*u - 