)
Factor 3*c**3 - 327*c**2 - 663*c - 333.
3*(c - 111)*(c + 1)**2
Suppose -o**3 + 8*o**2 - 7*o = 0. What is o?
0, 1, 7
Factor -4*g**4/9 + 4*g**2/9.
-4*g**2*(g - 1)*(g + 1)/9
Solve -4*l**3/7 - 188*l**2/7 + 4*l/7 + 188/7 = 0.
-47, -1, 1
Factor 4*y**3 - 32*y**2 - 316*y - 280.
4*(y - 14)*(y + 1)*(y + 5)
Determine s so that 5*s**2/2 + 13530*s + 18306090 = 0.
-2706
Factor -2*w**5 - 4*w**4 + 8*w**3 + 16*w**2.
-2*w**2*(w - 2)*(w + 2)**2
Factor 5*o**4 + 65*o**3 - 760*o**2 + 1680*o.
5*o*(o - 4)**2*(o + 21)
Factor -i**2/4 - 9*i - 56.
-(i + 8)*(i + 28)/4
Let 50*k**5/17 - 860*k**4/17 - 3112*k**3/17 + 5936*k**2/17 + 6016*k/17 + 1280/17 = 0. What is k?
-4, -2/5, 2, 20
Factor 3*g**3 - 39*g**2 + 120*g.
3*g*(g - 8)*(g - 5)
Factor -4*q**4 + 428*q**3 - 1256*q**2 + 832*q.
-4*q*(q - 104)*(q - 2)*(q - 1)
Factor 4*z**3/7 - 1192*z**2/7 - 2400*z/7.
4*z*(z - 300)*(z + 2)/7
Factor -4*o**2 - 88*o.
-4*o*(o + 22)
Factor 2*v**4/3 + 64*v**3 + 4796*v**2/3 + 3008*v + 4418/3.
2*(v + 1)**2*(v + 47)**2/3
Determine j, given that 3*j**3 + 6*j**2 - 60*j + 72 = 0.
-6, 2
Suppose 2*u**2/5 + 6416*u/5 + 5145632/5 = 0. Calculate u.
-1604
Suppose -2*d**5/5 - 22*d**4/5 - 84*d**3/5 - 128*d**2/5 - 64*d/5 = 0. What is d?
-4, -2, -1, 0
Solve -2*j**5 + 4*j**4 + 190*j**3 - 984*j**2 + 792*j = 0.
-11, 0, 1, 6
Factor -3*s**3 + 15*s**2 - 21*s + 9.
-3*(s - 3)*(s - 1)**2
Factor 2*m**2/7 - 1658*m/7 + 1656/7.
2*(m - 828)*(m - 1)/7
Factor -2*t**2 + 376*t - 1472.
-2*(t - 184)*(t - 4)
Factor 287*i**3 - 1052*i**2 - 380*i - 16.
(i - 4)*(7*i + 2)*(41*i + 2)
Factor 3*g**3 - 56*g**2 - 79*g - 20.
(g - 20)*(g + 1)*(3*g + 1)
Factor 10*n**2/9 + 32*n/3 - 442/9.
2*(n + 13)*(5*n - 17)/9
Solve 3*a**3 - 3*a**2 - 24*a + 36 = 0 for a.
-3, 2
Factor -5*z**3 - 230*z**2 - 2400*z + 5760.
-5*(z - 2)*(z + 24)**2
Factor 2*r**5 - 10*r**4 - 6*r**3 + 26*r**2 + 20*r.
2*r*(r - 5)*(r - 2)*(r + 1)**2
Factor -2*t**2/11 + 14*t/11 - 24/11.
-2*(t - 4)*(t - 3)/11
Solve -t**4 - 4*t**3 - 2*t**2 + 4*t + 3 = 0 for t.
-3, -1, 1
Find a such that -7*a**4 + 22*a**3 + 60*a**2 + 26*a - 5 = 0.
-1, 1/7, 5
Factor 2*j**3 + 310*j**2 + 11200*j - 64000.
2*(j - 5)*(j + 80)**2
Factor -26*l**3/11 + 212*l**2/11 - 32*l/11.
-2*l*(l - 8)*(13*l - 2)/11
Solve -11*h**3 - 431*h**2 - 78*h = 0 for h.
-39, -2/11, 0
Factor 3*k**4/7 - 114*k**3/7 + 111*k**2/7.
3*k**2*(k - 37)*(k - 1)/7
Factor 4*y**5 + 128*y**4 + 192*y**3 - 1384*y**2 + 1660*y - 600.
4*(y - 1)**3*(y + 5)*(y + 30)
Find p, given that 12*p**3 + 3220*p**2 + 1072*p = 0.
-268, -1/3, 0
Solve -3*p**4 + 15*p**3 - 24*p**2 + 12*p = 0.
0, 1, 2
Let 3*z**5 - 24*z**4 - 30*z**3 + 24*z**2 + 27*z = 0. Calculate z.
-1, 0, 1, 9
Factor 20*j**4 + 28*j**3 - 32*j**2 - 16*j.
4*j*(j - 1)*(j + 2)*(5*j + 2)
Solve -3*z**5 + 9*z**4 - 3*z**3 - 9*z**2 + 6*z = 0.
-1, 0, 1, 2
Find v, given that 6*v**4 + 274*v**3/3 - 1330*v**2 + 3450*v + 2500/3 = 0.
-25, -2/9, 5
Factor 4*t**3/5 + 976*t**2 - 9772*t/5 + 4888/5.
4*(t - 1)**2*(t + 1222)/5
Factor 3*q**3 + 738*q**2 + 1467*q + 732.
3*(q + 1)**2*(q + 244)
Factor 2*f**3/13 - 30*f**2/13 + 54*f/13 + 486/13.
2*(f - 9)**2*(f + 3)/13
Solve 3*b**2 + 888*b + 65712 = 0 for b.
-148
Factor 5*p**3 + 430*p**2 + 9245*p.
5*p*(p + 43)**2
Factor 5*q**3 + 125*q**2 + 715*q - 845.
5*(q - 1)*(q + 13)**2
Factor o**3/3 + 14*o**2 + 52*o + 152/3.
(o + 2)**2*(o + 38)/3
Suppose 5*s**5 + 30*s**4 - 675*s**3 + 2000*s**2 = 0. What is s?
-16, 0, 5
Determine o so that -o**2 + 27*o + 90 = 0.
-3, 30
Let 28*t**5 - 64*t**4 - 348*t**3 - 176*t**2 + 80*t = 0. What is t?
-2, -1, 0, 2/7, 5
Factor -4*u**2/3 + 856*u/3 - 45796/3.
-4*(u - 107)**2/3
Determine z, given that z**2/11 - 126*z/11 + 55 = 0.
5, 121
Factor 15*t**3/4 - 183*t**2/2 - 1485*t/4 - 189.
3*(t - 28)*(t + 3)*(5*t + 3)/4
Factor 2*r**2/9 - 100*r/9 + 64/3.
2*(r - 48)*(r - 2)/9
Suppose 2*w**4/15 - 8*w**3/15 + 4*w**2/15 + 8*w/15 - 2/5 = 0. What is w?
-1, 1, 3
Factor 2*w**4 - 750*w**3 + 2238*w**2 - 2234*w + 744.
2*(w - 372)*(w - 1)**3
Factor -2*q**2 - 42*q - 76.
-2*(q + 2)*(q + 19)
What is r in 2*r**3/9 - 14*r**2/9 + 8*r/9 + 8/3 = 0?
-1, 2, 6
Let -8*k**3 - 10*k**2 + 14*k + 4 = 0. What is k?
-2, -1/4, 1
Let 4*p**5 + 56*p**4 + 276*p**3 + 544*p**2 + 320*p = 0. What is p?
-5, -4, -1, 0
Factor -2*r**3/3 - 18*r**2 - 94*r/3 + 50.
-2*(r - 1)*(r + 3)*(r + 25)/3
Suppose 2*n**5/19 - 16*n**4/19 + 28*n**3/19 + 16*n**2/19 - 30*n/19 = 0. What is n?
-1, 0, 1, 3, 5
Let 5*l**3/6 - 5*l**2/3 - 20*l/3 = 0. Calculate l.
-2, 0, 4
Factor m**3/2 + 66*m**2 + 2178*m.
m*(m + 66)**2/2
Solve 3*f**2/2 + 1140*f + 11325/2 = 0.
-755, -5
Find t, given that 4*t**2 - 9064*t + 5134756 = 0.
1133
What is q in 28*q**5/3 + 244*q**4/3 - 444*q**3 - 2804*q**2/3 - 776*q/3 + 160 = 0?
-12, -1, 2/7, 5
Find t, given that 2*t**4 + 32*t**3 + 20*t**2 - 144*t + 90 = 0.
-15, -3, 1
Let 6*h**2 - 165*h - 84 = 0. What is h?
-1/2, 28
Factor -39*n**2 + 66*n + 24.
-3*(n - 2)*(13*n + 4)
Solve 3*d**4 - 12*d**3 + 9*d**2 + 12*d - 12 = 0.
-1, 1, 2
Let 5*p**3 + 20*p**2 + 25*p + 10 = 0. Calculate p.
-2, -1
Solve -3*z**4/4 + 3*z**3/2 + 21*z**2/4 + 3*z = 0.
-1, 0, 4
Suppose x**4 + 130*x**3 - 1059*x**2/4 - 387*x/4 + 297 = 0. What is x?
-132, -1, 3/2
Suppose 2*q**4/7 - 162*q**3/7 + 502*q**2 - 9438*q/7 + 6084/7 = 0. What is q?
1, 2, 39
Factor -21*p**4/8 + 6*p**3 - 3*p**2/2.
-3*p**2*(p - 2)*(7*p - 2)/8
Solve 12*z**5/7 - 8*z**4 - 32*z**3/7 + 8*z**2 + 20*z/7 = 0 for z.
-1, -1/3, 0, 1, 5
What is u in -2*u**4/9 - 46*u**3/9 - 272*u**2/9 - 160*u/3 = 0?
-15, -4, 0
Factor c**2/6 + 3*c + 16/3.
(c + 2)*(c + 16)/6
Find w such that -2*w**4 - 30*w**3 + 142*w**2 - 186*w + 76 = 0.
-19, 1, 2
Determine m so that 2*m**5/3 - 148*m**4/3 - 476*m**3/3 + 1048*m**2/3 + 782*m - 924 = 0.
-3, 1, 2, 77
Factor p**2 - 3*p + 2.
(p - 2)*(p - 1)
Factor -2*z**3/13 - 62*z**2/13 - 638*z/13 - 2178/13.
-2*(z + 9)*(z + 11)**2/13
Suppose r**5/7 - 3*r**4 + 68*r**3/7 + 528*r**2/7 - 576*r/7 = 0. Calculate r.
-4, 0, 1, 12
Factor -b**5/4 + 8*b**4 - 29*b**3 + 28*b**2.
-b**2*(b - 28)*(b - 2)**2/4
Suppose j**3/4 - 13*j**2/4 - j/4 + 13/4 = 0. What is j?
-1, 1, 13
Factor -q**4/2 - 32*q**3.
-q**3*(q + 64)/2
Factor -2*g**3 + 262*g**2 + 530*g + 266.
-2*(g - 133)*(g + 1)**2
Find a, given that -a**4 + 3*a**3 - a**2 - 3*a + 2 = 0.
-1, 1, 2
Factor -y**3 + 5*y**2 + 22*y + 16.
-(y - 8)*(y + 1)*(y + 2)
Factor m**5/11 + 6*m**4/11 - 276*m**3/11 - 1880*m**2/11 + 19200*m/11 + 144000/11.
(m - 12)**2*(m + 10)**3/11
Find u, given that 2*u**5/9 - 206*u**4/9 - 632*u**3/9 - 424*u**2/9 = 0.
-2, -1, 0, 106
Let -3*h**2/2 + 9*h + 24 = 0. What is h?
-2, 8
Determine y, given that 2*y**4/3 - 6*y**3 - 238*y**2/3 - 186*y - 340/3 = 0.
-5, -2, -1, 17
Factor v**2/5 + 11*v + 54/5.
(v + 1)*(v + 54)/5
Factor -242*t**3 - 550*t**2 + 496*t - 96.
-2*(t + 3)*(11*t - 4)**2
Find i, given that -3*i**4 + 393*i**3 + 1200*i**2 + 804*i = 0.
-2, -1, 0, 134
Solve -v**2 + 2*v = 0.
0, 2
Determine h, given that 3*h**3/5 - 228*h**2/5 - 8148*h/5 - 61152/5 = 0.
-14, 104
Let y**4 + y**3 - 3*y**2 - y + 2 = 0. Calculate y.
-2, -1, 1
Solve 4*g**2/5 + 8*g/5 - 12/5 = 0 for g.
-3, 1
Let 3*s**5 - 12*s**4 + 9*s**3 + 12*s**2 - 12*s = 0. Calculate s.
-1, 0, 1, 2
Determine y so that -4*y**3 - 176*y**2 - 1680*y - 4608 = 0.
-32, -6
Factor -269664*y**3 + 138648*y**2 - 3843*y/2 + 27/4.
-3*(2*y - 1)*(424*y - 3)**2/4
What is y in 2*y**2 + 2424*y - 4856 = 0?
-1214, 2
Suppose h**2/3 - 4865*h/3 = 0. What is h?
0, 4865
Suppose -4*n**4/15 - 26*n**3/3 + 10*n**2 + 104*n/3 - 536/15 = 0. What is n?
-67/2, -2, 1, 2
Solve -2*q**3/5 - 186*q**2/5 + 572*q/5 - 384/5 = 0.
-96, 1, 2
Factor 4*d**3/7 - 264*d**2/7 - 612*d + 374544/7.
4*(d - 51)**2*(d + 36)/7
Determine t so that -t**2/3 - 1180*t/3 + 1181/3 = 0.
-1181, 1
Factor k**2/2 - 82*k + 163/2.
(k - 163)*(k - 1)/2
Factor -4*b**2 - 3512*b - 770884.
-4*(b + 439)**2
Suppose -40*s**2 - 35*s + 5 = 0. What is s?
-1, 1/8
What is g in 4*g**5/5 - 5524*g**4 + 9544088*g**3 - 28599128*g**2 + 28588084*g - 47637604/5 = 0?
1, 3451
Find j such that 3*j**5 + 42*j**4 - 75*j**3 - 438*j**2 + 252*j + 1080 = 0.
-15, -2, 2, 3
Solve -20*l**4 - 35*l**3 + 15*l**2/2 + 35*l + 25/2 = 0.
-5/4, -1, -1/2, 1
Suppose -2*a**2/3 + 68*a = 0. What is a?
0, 102
Let -2*y**3/3 - 4*y**2/3 - 2*y/3 = 0. Calculate y.
-1, 0
Suppose q**2/9 + 85*q/9 - 86/9 = 0. Calculate q.
-86, 1
Solve -21*w**2/2 - 90*w + 81/2 = 0 for w.
-9, 3/7
Let 20*x**5 + 988*x**4 + 1312*x**3 - 1552*x**2 - 768*x = 0. Calc