
Factor -q**2/3 + 66*q + 199/3.
-(q - 199)*(q + 1)/3
Solve 3*z**5 + 24*z**4 + 45*z**3 - 12*z**2 - 60*z = 0 for z.
-5, -2, 0, 1
Find g, given that 3*g**3 + 378*g**2 - 387*g - 762 = 0.
-127, -1, 2
Determine w, given that -4*w**5 - 4*w**4 + 24*w**3 + 56*w**2 + 44*w + 12 = 0.
-1, 3
Factor 3*u**4 + 15*u**3 - 21*u**2 - 15*u + 18.
3*(u - 1)**2*(u + 1)*(u + 6)
Solve 2*q**2/5 + 544*q/5 - 546/5 = 0.
-273, 1
Find w such that 5*w**2 - 4970*w = 0.
0, 994
Factor 5*r**5 - 120*r**4 + 920*r**3 - 2400*r**2 + 2000*r.
5*r*(r - 10)**2*(r - 2)**2
Factor -4*t**3 - 688*t**2 - 7124*t - 6440.
-4*(t + 1)*(t + 10)*(t + 161)
Factor 16*l**4 + 116*l**3 - 16*l**2 - 860*l + 600.
4*(l - 2)*(l + 5)**2*(4*l - 3)
Factor 3*z**5 - 153*z**4.
3*z**4*(z - 51)
Factor -2*a**2/23 - 1732*a/23 - 374978/23.
-2*(a + 433)**2/23
Suppose 20*m**5/3 + 20*m**4/3 - 55*m**3/3 - 10*m**2/3 + 35*m/3 - 10/3 = 0. Calculate m.
-2, -1, 1/2, 1
Factor 5*f**3/2 - 125*f**2/2 + 500*f - 1250.
5*(f - 10)**2*(f - 5)/2
Factor 3*k**3/8 + 879*k**2/4 + 1755*k/8.
3*k*(k + 1)*(k + 585)/8
Solve 3*q**3 + 51*q**2 + 285*q + 525 = 0.
-7, -5
Let 3*z**4/2 - 20*z**3 + 49*z**2/2 - 6*z = 0. Calculate z.
0, 1/3, 1, 12
Determine s, given that 4*s**5 - 20*s**4 - 8*s**3 + 40*s**2 + 4*s - 20 = 0.
-1, 1, 5
Let -4*f**2 - 308*f - 4080 = 0. Calculate f.
-60, -17
Factor f**3 + 4*f**2 - 3*f - 18.
(f - 2)*(f + 3)**2
Factor -3*f**4 + 27*f**3 - 66*f**2 + 96.
-3*(f - 4)**2*(f - 2)*(f + 1)
Factor -4*b**3/7 - 120*b**2/7 + 124*b/7.
-4*b*(b - 1)*(b + 31)/7
Suppose -q**4/6 + 2*q**3/3 - 2*q**2/3 = 0. What is q?
0, 2
Factor l**2/2 + 27*l.
l*(l + 54)/2
Factor -120*x**3 - 117*x**2 + 3*x.
-3*x*(x + 1)*(40*x - 1)
Find r such that -6*r**3/13 + 46*r**2/13 + 1340*r/13 - 912/13 = 0.
-12, 2/3, 19
Factor -3*z**3/7 + 5100*z**2/7 + 10209*z/7 + 5106/7.
-3*(z - 1702)*(z + 1)**2/7
Determine z, given that -3*z**2/5 + 108*z/5 + 228/5 = 0.
-2, 38
Factor 5*n**2 + 60*n - 65.
5*(n - 1)*(n + 13)
Suppose 3*a**5 - 1383*a**4 + 239430*a**3 - 18488550*a**2 + 542952375*a - 524701875 = 0. Calculate a.
1, 115
Let -3*s**3/2 - 21*s**2/8 + 147*s/4 - 9 = 0. Calculate s.
-6, 1/4, 4
Factor w**2 - 324.
(w - 18)*(w + 18)
Factor 22*r**4/7 - 122*r**3 - 156*r**2/7.
2*r**2*(r - 39)*(11*r + 2)/7
Factor 2*a**2 - 3004*a + 1128002.
2*(a - 751)**2
Determine n, given that -n**2/4 + 45*n/4 + 23/2 = 0.
-1, 46
Let -x**2/3 + 5*x/3 - 2 = 0. What is x?
2, 3
Suppose 2*u**4 + 40*u**3 + 104*u**2 - 960*u + 1152 = 0. Calculate u.
-12, 2
Determine h so that h**2/2 + 43*h/2 + 21 = 0.
-42, -1
Factor 3*f**2 - 72*f + 285.
3*(f - 19)*(f - 5)
Factor 4*d**2 + 12560*d + 9859600.
4*(d + 1570)**2
Suppose -2*y**2/5 - 184*y/5 + 408 = 0. What is y?
-102, 10
Factor o**5/7 + 36*o**4/7 + 132*o**3/7 + 128*o**2/7.
o**2*(o + 2)**2*(o + 32)/7
Solve -h**3 + 507*h**2 + 2040*h + 2044 = 0 for h.
-2, 511
Suppose 5*x**2 - 595*x - 2460 = 0. What is x?
-4, 123
Let 49*y**4/6 + 511*y**3/6 - 152*y**2/3 + 22*y/3 = 0. Calculate y.
-11, 0, 2/7
Suppose 2*z**5/7 + 6*z**4/7 + 2*z**3/7 - 6*z**2/7 - 4*z/7 = 0. Calculate z.
-2, -1, 0, 1
Factor 2*w**3/9 + 52*w**2/9 + 418*w/9 + 968/9.
2*(w + 4)*(w + 11)**2/9
Let 4*z**5 - 1120*z**4 + 77268*z**3 + 159048*z**2 = 0. Calculate z.
-2, 0, 141
Solve -4*w**3 + 79*w**2 + 20*w = 0 for w.
-1/4, 0, 20
Let 3*i**2/7 - 204*i/7 + 1440/7 = 0. Calculate i.
8, 60
What is s in -4*s**2/7 - 1336*s/7 - 111556/7 = 0?
-167
Factor 2*q**4/9 - 122*q**3/9 - 250*q**2/9 - 14*q.
2*q*(q - 63)*(q + 1)**2/9
Factor -135*j**2 - 30*j + 40.
-5*(3*j + 2)*(9*j - 4)
Factor 2*f**2/5 - 152*f - 770.
2*(f - 385)*(f + 5)/5
Factor -2*g**4 + 20*g**3 - 64*g**2 + 64*g.
-2*g*(g - 4)**2*(g - 2)
Factor -r**3/2 - r**2/2 + r.
-r*(r - 1)*(r + 2)/2
Factor -38*l**3/13 + 154*l**2/13 - 8*l/13.
-2*l*(l - 4)*(19*l - 1)/13
Factor -3*i**4/7 - 222*i**3/7 - 3639*i**2/7 + 17316*i/7 - 18252/7.
-3*(i - 2)**2*(i + 39)**2/7
Suppose 3*k**5 + 15*k**4 + 9*k**3 - 27*k**2 = 0. What is k?
-3, 0, 1
Factor 3*f**2/7 + 75*f/7 - 162/7.
3*(f - 2)*(f + 27)/7
Factor -3*c**3 + 60*c**2 - 267*c + 210.
-3*(c - 14)*(c - 5)*(c - 1)
Factor 2*s**2/7 + 1620*s/7 + 328050/7.
2*(s + 405)**2/7
Factor 3*d**4 + 84*d**3 + 282*d**2 - 4284*d + 7803.
3*(d - 3)**2*(d + 17)**2
Solve -2*v**3/3 - 194*v**2 - 18818*v - 1825346/3 = 0 for v.
-97
Factor -5*w**2 + 25*w - 30.
-5*(w - 3)*(w - 2)
Factor 7*m**2/5 - 59*m/5 + 24/5.
(m - 8)*(7*m - 3)/5
Factor -3*u**3 - 18*u**2 - 15*u + 36.
-3*(u - 1)*(u + 3)*(u + 4)
Factor -3*u**3 + 9*u**2 - 12.
-3*(u - 2)**2*(u + 1)
Suppose 5*h**5 - 15*h**4 + 15*h**3 - 5*h**2 = 0. Calculate h.
0, 1
Solve -2*t**4/5 - 6*t**3 - 26*t**2/5 + 6*t + 28/5 = 0 for t.
-14, -1, 1
Factor -3*a**4 - 18*a**3 + 27*a**2 + 42*a.
-3*a*(a - 2)*(a + 1)*(a + 7)
What is i in 2*i**4/7 - 174*i**3/7 + 170*i**2/7 + 174*i/7 - 172/7 = 0?
-1, 1, 86
Suppose d**2/6 + 3*d = 0. What is d?
-18, 0
Factor 3*z**2 - 372*z + 11532.
3*(z - 62)**2
Factor -m**3/5 - 156*m**2/5 - 449*m/5 + 306.
-(m - 2)*(m + 5)*(m + 153)/5
Factor -p**3/3 - p**2 - 2*p/3.
-p*(p + 1)*(p + 2)/3
Factor 2*z**5/5 - 74*z**4/5 + 144*z**3 - 648*z**2/5.
2*z**2*(z - 18)**2*(z - 1)/5
Solve -2*d**2/5 + 16*d - 160 = 0.
20
Solve 4*h**2 - 74*h/3 + 28 = 0.
3/2, 14/3
Solve -o**4 + 21*o**3 + o**2 - 21*o = 0 for o.
-1, 0, 1, 21
Determine c so that 2*c**5 + 52*c**4 + 482*c**3 + 1840*c**2 + 2432*c + 1024 = 0.
-8, -1
Determine l so that 2*l**2/3 - 1286*l - 3860/3 = 0.
-1, 1930
Find v, given that 3*v**5 + 48*v**4 + 282*v**3 + 732*v**2 + 795*v + 300 = 0.
-5, -4, -1
Find y, given that 3*y**2 + 18*y - 81 = 0.
-9, 3
Factor u**3/3 + 2*u**2/3 + u/3.
u*(u + 1)**2/3
What is y in 2*y**5/7 + 4*y**4 + 118*y**3/7 + 188*y**2/7 + 96*y/7 = 0?
-8, -3, -2, -1, 0
Solve t**3/5 + t**2 + 7*t/5 + 3/5 = 0.
-3, -1
Factor -4*t**2/5 - 47*t/5 + 12/5.
-(t + 12)*(4*t - 1)/5
Determine r, given that -3*r**3/5 + 222*r**2/5 - 3876*r/5 - 8664/5 = 0.
-2, 38
Solve 5*k**2 + 265*k + 260 = 0.
-52, -1
Factor k**2/2 - 1240*k + 768800.
(k - 1240)**2/2
Solve -3*x**2 + 4746*x - 1877043 = 0 for x.
791
Suppose 5*d**3 - d/5 = 0. Calculate d.
-1/5, 0, 1/5
Suppose -4*x**2/7 - x/7 + 3/7 = 0. Calculate x.
-1, 3/4
Factor 2*o**3 + 116*o**2 + 334*o + 220.
2*(o + 1)*(o + 2)*(o + 55)
Find r, given that -r**2/3 - 4*r - 11/3 = 0.
-11, -1
Determine s so that s**3/7 - 8*s**2/7 - s/7 + 8/7 = 0.
-1, 1, 8
Determine h so that 105*h**3 + 2088*h**2 + 10260*h - 1200 = 0.
-10, 4/35
Solve 20*d**5 + 35*d**4 - 10*d**3 - 40*d**2 - 10*d + 5 = 0 for d.
-1, 1/4, 1
Factor 2*y**2 + 8150*y/3 + 2716/3.
2*(y + 1358)*(3*y + 1)/3
Determine a so that 4*a**3 + 144*a**2 - 804*a + 656 = 0.
-41, 1, 4
What is y in y**4/5 - 989*y**3/5 + 326697*y**2/5 - 7252147*y + 71222578/5 = 0?
2, 329
Let k**5/7 - 23*k**4/7 + 165*k**3/7 - 401*k**2/7 + 10*k/7 + 600/7 = 0. What is k?
-1, 2, 5, 12
Factor 2*f**2 + 8*f - 42.
2*(f - 3)*(f + 7)
What is m in m**3/5 + m**2 - 17*m/5 - 21/5 = 0?
-7, -1, 3
Suppose -57*s**2/4 - 36*s - 15 = 0. Calculate s.
-2, -10/19
Factor -3*b**4 - 171*b**3 - 2661*b**2 - 5913*b + 8748.
-3*(b - 1)*(b + 4)*(b + 27)**2
Determine r, given that -r**2 + 46*r - 504 = 0.
18, 28
Factor -2*b**2/9 + 172*b/9 - 3698/9.
-2*(b - 43)**2/9
Determine m, given that -m**2/6 - 4*m/3 + 64/3 = 0.
-16, 8
What is d in -2*d**4/9 - 22*d**3/3 - 382*d**2/9 + 50*d = 0?
-25, -9, 0, 1
Determine i, given that 3*i**3/7 - 39*i**2/7 - 108*i/7 + 1404/7 = 0.
-6, 6, 13
Find g, given that -3*g**4/5 + 21*g**3/5 - 6*g**2 = 0.
0, 2, 5
Factor -3*x**5 + 564*x**4 - 24771*x**3 - 162402*x**2 - 334068*x - 225816.
-3*(x - 97)**2*(x + 2)**3
Find c such that 15*c**3/4 + 1059*c**2 - 6807*c/4 + 639 = 0.
-284, 3/5, 1
Determine r so that -10*r**3/23 + 54*r**2/23 + 36*r/23 = 0.
-3/5, 0, 6
Suppose 2*k**4/3 - 42*k**3 - 86*k**2 - 130*k/3 = 0. What is k?
-1, 0, 65
Find b such that -b**3/2 - b**2 + 2*b + 4 = 0.
-2, 2
Find g such that 11*g**5/2 - 277*g**4/2 + 2129*g**3/2 - 4855*g**2/2 + 1738*g - 242 = 0.
2/11, 1, 2, 11
Determine d, given that -2*d**4 - 124*d**3 + 392*d**2 + 124*d - 390 = 0.
-65, -1, 1, 3
Factor 4*u**4 - 204*u**3 + 588*u**2 - 580*u + 192.
4*(u - 48)*(u - 1)**3
Suppose 3*y**4 + 72*y**3/7 - 360*y**2/7 - 96*y/7 + 720/7 = 0. Calculate y.
-6, -10/7, 2
Find g such that -2*g**2/7 + 2*g + 88/7 = 0.
-4, 11
Factor -180*g**5 - 1140*g**4 - 2525*g**3 - 2190*g**2 - 540*g - 40.
-5*(g + 2)**3*(6*g + 1)**2
Factor -a**5/3 + a**4 + 3*a**3 + 5*a**2/3.
-a**2*(a - 5)*(a + 1)**2/3
Factor 4*o**3/7 + 4*o**2/7 - 328*o/7