**4
Factor -u**5/3 - 91*u**4/3 - 2446*u**3/3 - 5790*u**2 - 15867*u - 15129.
-(u + 3)**3*(u + 41)**2/3
Factor 2*a**2/7 - 172*a/7 + 3698/7.
2*(a - 43)**2/7
Determine j, given that -j**2/3 + 6*j - 27 = 0.
9
Solve -4*m**3 + 1672*m**2 - 173040*m - 352800 = 0 for m.
-2, 210
Factor -2*k**2/3 - 2*k/3 + 40/3.
-2*(k - 4)*(k + 5)/3
Find a, given that 6*a**4 - 9*a**3 - 51*a**2 - 36*a = 0.
-3/2, -1, 0, 4
Solve 2*o**4 - 1828*o**3 + 417698*o**2 = 0.
0, 457
Factor -2*a**5/3 + 10*a**4 - 1000*a**2/3.
-2*a**2*(a - 10)**2*(a + 5)/3
Let -8*p**2 - 60*p + 32 = 0. What is p?
-8, 1/2
Factor -2*g**3/7 - 446*g**2 + 12512*g/7 - 12520/7.
-2*(g - 2)**2*(g + 1565)/7
Factor 1855*p**2 + 320*p - 60.
5*(7*p + 2)*(53*p - 6)
Find a, given that a**3/3 - 37*a**2/3 + 323*a/3 + 361/3 = 0.
-1, 19
Factor 9*w**2/8 - 419*w/2 + 93/2.
(w - 186)*(9*w - 2)/8
Factor -b**2/3 - 8*b/3 - 4.
-(b + 2)*(b + 6)/3
Suppose -f**3 + 155*f**2 - 6232*f + 17328 = 0. What is f?
3, 76
Factor n**4 + 170*n**3 + 7392*n**2 + 14112*n.
n*(n + 2)*(n + 84)**2
Let -12*s**4 + 356*s**3 - 1704*s**2 + 1696*s + 768 = 0. Calculate s.
-1/3, 2, 4, 24
Suppose 2*r**4 - 52*r**3 + 98*r**2 - 48*r = 0. Calculate r.
0, 1, 24
Factor -4*l**5 - 4*l**4 + 36*l**3 - 44*l**2 + 16*l.
-4*l*(l - 1)**3*(l + 4)
Factor k**3/5 + 19*k**2/5 + 63*k/5 + 9.
(k + 1)*(k + 3)*(k + 15)/5
Factor 592*k**2/13 - 46*k + 6/13.
2*(k - 1)*(296*k - 3)/13
Factor -2*y**3/5 - 12*y**2 - 298*y/5 - 48.
-2*(y + 1)*(y + 5)*(y + 24)/5
What is p in -5*p**3 + 70*p**2 + 1435*p - 1500 = 0?
-12, 1, 25
Solve -2*k**2/11 - 148*k/11 - 2738/11 = 0.
-37
Determine n so that -216*n**2/7 - 2589*n/7 + 36/7 = 0.
-12, 1/72
Factor 3*u**2 - 28548*u + 67915692.
3*(u - 4758)**2
Suppose g**2/5 + 176*g + 38720 = 0. Calculate g.
-440
Factor 2*p**2/3 - 86*p.
2*p*(p - 129)/3
Factor 4*n**2 + 6148*n - 6152.
4*(n - 1)*(n + 1538)
Determine n so that 175*n**3 + 16855*n**2 - 11620*n + 1940 = 0.
-97, 2/7, 2/5
Factor 2*w**2/15 + 6*w/5 + 12/5.
2*(w + 3)*(w + 6)/15
What is z in z**5/2 + 136*z**4/5 + 633*z**3/10 + 47*z**2 + 52*z/5 = 0?
-52, -1, -2/5, 0
Determine a so that -2*a**5/5 - 6*a**4/5 + 8*a**3/5 = 0.
-4, 0, 1
Factor -g**2 + 83*g + 170.
-(g - 85)*(g + 2)
Determine r so that r**2/5 - 197*r/5 = 0.
0, 197
Solve -4*f**3 - 1332*f**2 - 110220*f + 111556 = 0 for f.
-167, 1
Find r, given that 2*r**2 - 944*r + 111392 = 0.
236
Determine h so that -h**2 + 126*h - 3969 = 0.
63
Find d, given that -2*d**2 - 16*d + 18 = 0.
-9, 1
Solve 4*h**2/5 - 108*h = 0 for h.
0, 135
Factor 4*x**2 - 28*x - 32.
4*(x - 8)*(x + 1)
Find z, given that -z**5/10 + 4*z**3/5 - 3*z**2/5 - 7*z/10 + 3/5 = 0.
-3, -1, 1, 2
Factor a**5/4 + a**4/4 - 9*a**3/4 - 9*a**2/4.
a**2*(a - 3)*(a + 1)*(a + 3)/4
Factor 5*p**3 + 775*p**2 + 26240*p - 302580.
5*(p - 9)*(p + 82)**2
Factor -a**5/2 + 9*a**4 - 30*a**3 + 28*a**2.
-a**2*(a - 14)*(a - 2)**2/2
Determine g, given that 3*g**5 + 33*g**4 + 75*g**3 + 15*g**2 - 78*g - 48 = 0.
-8, -2, -1, 1
Factor -2*u**2/3 + 316*u/3.
-2*u*(u - 158)/3
Let p**3 - 9*p**2 + 14*p + 24 = 0. What is p?
-1, 4, 6
Let 2*j**2/7 + 36*j/7 - 38/7 = 0. Calculate j.
-19, 1
Determine o so that -16*o**3 - 4652*o**2 + 5836*o - 1168 = 0.
-292, 1/4, 1
Determine q so that -18*q**2/7 + 5748*q/7 - 458882/7 = 0.
479/3
Factor g**4/6 + 7*g**3/3 + 15*g**2/2 + 26*g/3 + 10/3.
(g + 1)**2*(g + 2)*(g + 10)/6
Factor -5*i**4 - 35*i**3 - 40*i**2 + 80*i.
-5*i*(i - 1)*(i + 4)**2
Factor 4*i**4 - 44*i**3 + 144*i**2 - 64*i - 256.
4*(i - 4)**3*(i + 1)
Determine j, given that 4*j**2 + 256*j + 496 = 0.
-62, -2
Factor 27*w**3 + 594*w**2 - 3*w - 66.
3*(w + 22)*(3*w - 1)*(3*w + 1)
Determine d, given that 21*d**3 - 156*d**2 + 369*d - 270 = 0.
10/7, 3
Find n such that -4*n**3 + 192*n**2 + 196*n = 0.
-1, 0, 49
Factor -t**2/10 - 7*t/5 - 33/10.
-(t + 3)*(t + 11)/10
Suppose -4*j**2/7 - 30*j/7 - 36/7 = 0. What is j?
-6, -3/2
Find g, given that 2*g**4/15 - 22*g**2/15 - 12*g/5 - 16/15 = 0.
-2, -1, 4
Determine h, given that -9*h**3 - 1032*h**2 + 1388*h - 464 = 0.
-116, 2/3
Suppose o**2 + 8336*o + 17372224 = 0. What is o?
-4168
Factor -2*c**3 + 20*c**2 - 32*c.
-2*c*(c - 8)*(c - 2)
Solve 2*a**2 + 2712*a + 919368 = 0.
-678
Determine h so that 3*h**5 + 18*h**4 + 3*h**3 - 72*h**2 + 48*h = 0.
-4, 0, 1
Factor -2*i**3/5 - 26*i**2/5 - 68*i/5 + 96/5.
-2*(i - 1)*(i + 6)*(i + 8)/5
Factor -3*h**3/5 + 9519*h**2/5 - 1509237*h - 7555707/5.
-3*(h - 1587)**2*(h + 1)/5
Factor l**2 - 424*l + 423.
(l - 423)*(l - 1)
Factor 2*s**2/7 - 74*s/7 - 720/7.
2*(s - 45)*(s + 8)/7
Factor -w**3/11 - w**2/11 + 25*w/11 + 25/11.
-(w - 5)*(w + 1)*(w + 5)/11
What is y in 3*y**3 - 27*y**2 - 306*y - 480 = 0?
-5, -2, 16
Factor -2*q**4/23 + 14*q**3/23 - 30*q**2/23 + 18*q/23.
-2*q*(q - 3)**2*(q - 1)/23
Find z such that -9*z**5 + 75*z**4 - 63*z**3 - 159*z**2 + 72*z + 84 = 0.
-1, -2/3, 1, 2, 7
Determine f, given that 3*f**3/2 + 378*f**2 + 31752*f + 889056 = 0.
-84
Let -3*y**3 - 48*y**2 + 105*y - 54 = 0. What is y?
-18, 1
Factor -3*k**2 - 39*k + 90.
-3*(k - 2)*(k + 15)
What is z in -3*z**3/4 - 993*z**2 - 3969*z/4 = 0?
-1323, -1, 0
Factor -3*g**4 + g**3 + 9*g**2 - 9*g + 2.
-(g - 1)**2*(g + 2)*(3*g - 1)
Factor -2*z**2/7 - 2232*z/7 - 622728/7.
-2*(z + 558)**2/7
Determine j so that j**4/3 - 14*j**3/3 - 17*j**2/3 + 10*j = 0.
-2, 0, 1, 15
Factor -2*q**5 - 20*q**4 + 72*q**3 - 76*q**2 + 26*q.
-2*q*(q - 1)**3*(q + 13)
Determine c so that 3*c**2 - 27*c + 24 = 0.
1, 8
Solve -135*r**2 + 24*r = 0 for r.
0, 8/45
Find c, given that -c**4 - 17*c**3 - 42*c**2 + 4*c + 56 = 0.
-14, -2, 1
Factor -2*u**5 - 2*u**4 + 4*u**3 + 4*u**2 - 2*u - 2.
-2*(u - 1)**2*(u + 1)**3
Solve -l**3/2 - 5*l**2/2 - 3*l = 0 for l.
-3, -2, 0
Factor -5*s**2 - 8800*s - 3872000.
-5*(s + 880)**2
Factor -c**2/3 + 10*c/3 - 3.
-(c - 9)*(c - 1)/3
Factor -x**4 - 26*x**3 - 60*x**2 + 202*x - 115.
-(x - 1)**2*(x + 5)*(x + 23)
Solve -4*b**4 + 380*b**3 + 1164*b**2 + 1172*b + 392 = 0.
-1, 98
Factor 2*c**4/15 + 92*c**3/15 + 526*c**2/5 + 2392*c/3 + 6760/3.
2*(c + 10)**2*(c + 13)**2/15
Solve 5*i**4/3 + 20*i**3/3 + 5*i**2 = 0.
-3, -1, 0
Solve 3*p**3 + 168*p**2 + 3087*p + 18522 = 0.
-21, -14
Factor 4*b**5 - 4*b**4 - 16*b**3 + 16*b**2.
4*b**2*(b - 2)*(b - 1)*(b + 2)
Factor a**4 - 4*a**2.
a**2*(a - 2)*(a + 2)
Factor -p**5 - 33*p**4 - 414*p**3 - 2430*p**2 - 6561*p - 6561.
-(p + 3)**2*(p + 9)**3
Solve c**5/5 - 3*c**4/5 - c**3/5 + 3*c**2/5 = 0.
-1, 0, 1, 3
Factor -2*x**5/13 - 122*x**4/13 - 2342*x**3/13 - 15030*x**2/13 - 3024*x - 2808.
-2*(x + 3)**3*(x + 26)**2/13
Determine r, given that -2*r**2/11 + 420*r/11 - 38 = 0.
1, 209
Factor -112*b**3 - 132*b**2 + 204*b + 40.
-4*(b - 1)*(b + 2)*(28*b + 5)
What is s in 5*s**4 + 70*s**3 + 40*s**2 - 310*s + 195 = 0?
-13, -3, 1
Find y such that -3*y**3 + 1218*y**2 - 124836*y + 244824 = 0.
2, 202
Find g such that g**5 + g**4 - 14*g**3 - 24*g**2 = 0.
-3, -2, 0, 4
Suppose -2*n**5/7 - 58*n**4/7 - 68*n**3/7 + 5372*n**2/7 - 10298*n/7 + 722 = 0. What is n?
-19, 1, 7
Find s, given that -4*s**4 + 232*s**3 + 244*s**2 - 472*s = 0.
-2, 0, 1, 59
Determine v, given that 4*v**5/13 + 46*v**4/13 - 132*v**3/13 + 110*v**2/13 - 28*v/13 = 0.
-14, 0, 1/2, 1
Determine u, given that 210*u**3 + 759*u**2/2 - 84*u - 6 = 0.
-2, -2/35, 1/4
Factor -2*b**2/5 + 544*b/5 - 36992/5.
-2*(b - 136)**2/5
Let -3*r**5 + 168*r**4 - 324*r**3 - 6*r**2 + 327*r - 162 = 0. Calculate r.
-1, 1, 54
Suppose -36*o**4 - 624*o**3 - 1588*o**2 + 1272*o - 224 = 0. What is o?
-14, -4, 1/3
Factor -9*z**3 - 48*z**2 - 3*z + 60.
-3*(z - 1)*(z + 5)*(3*z + 4)
Find w such that 5*w**2 + 360*w = 0.
-72, 0
Factor -y**3/5 + 4*y**2/5 + 28*y/5 + 32/5.
-(y - 8)*(y + 2)**2/5
Let 2*w**4 + 92*w**3 + 546*w**2 = 0. Calculate w.
-39, -7, 0
What is j in j**2/2 + 2635*j + 6943225/2 = 0?
-2635
Factor -2*i**2 - 56*i - 392.
-2*(i + 14)**2
Factor -2*u**2/7 + 103*u/7 + 52/7.
-(u - 52)*(2*u + 1)/7
Solve -h**4/7 - 12*h**3/7 - 5*h**2 - 24*h/7 = 0.
-8, -3, -1, 0
What is a in 85*a**3/7 + 894*a**2/7 + 444*a/7 + 40/7 = 0?
-10, -2/5, -2/17
Factor 4*j**2 + 64*j + 60.
4*(j + 1)*(j + 15)
Factor -b**2/4 + 131*b/4 + 33.
-(b - 132)*(b + 1)/4
Let 2*j**3/7 + 104*j**2/7 + 1014*j/7 + 2160/7 = 0. Calculate j.
-40, -9, -3
Suppose -2*b**3/17 - 24*b**2/17 - 18*b/17 + 44/17 = 0. What is b?
-11, -2, 1
Find f, given that f**4/2 + 4*f**3 - 11*f**2/2 - 9*f = 0.
-9, -1, 0, 2
Factor -3*t**3 + 270*t**2 - 8100*t + 81000.
-3*(t - 30)**3
Solve -s**3 + 7*s**2 - 10*s = 0 fo