**2 + 104*a + 106 = 0.
-1, 53
Solve 4*t**4 + 12*t**3 + 8*t**2 = 0 for t.
-2, -1, 0
What is u in -2*u**5/11 + 24*u**4/11 - 108*u**3/11 + 224*u**2/11 - 210*u/11 + 72/11 = 0?
1, 3, 4
Factor -3*b**2/2 - 279*b/2.
-3*b*(b + 93)/2
Let -3*f**5/4 + 9*f**4/2 - 33*f**2/2 - 45*f/4 = 0. Calculate f.
-1, 0, 3, 5
Determine b, given that b**5/6 - 41*b**4/6 + 25*b**3 + 3421*b**2/3 - 13975*b/6 - 6875/2 = 0.
-11, -1, 3, 25
Factor -2*o**2/21 + 44*o/21.
-2*o*(o - 22)/21
What is p in 3*p**2 + 777*p - 780 = 0?
-260, 1
Factor j**3 - 15*j**2 + 44*j + 60.
(j - 10)*(j - 6)*(j + 1)
Determine i, given that -24*i**3 + 3346*i**2 - 1386*i - 556 = 0.
-1/4, 2/3, 139
Find z, given that z**3/7 + 129*z**2/7 + 380*z/7 + 36 = 0.
-126, -2, -1
Factor 5*c**3 + 45*c**2 - 320*c + 420.
5*(c - 3)*(c - 2)*(c + 14)
Suppose x**5 - 13*x**4 - 30*x**3 - 2*x**2 + 29*x + 15 = 0. What is x?
-1, 1, 15
Factor -27*z**5/5 + 18*z**4/5 + 33*z**3/5 - 12*z**2/5 - 12*z/5.
-3*z*(z - 1)**2*(3*z + 2)**2/5
Let -12*h**3 + 20*h**2 = 0. Calculate h.
0, 5/3
Factor 5*h**5 + 405*h**4 + 12400*h**3 + 172000*h**2 + 960000*h + 800000.
5*(h + 1)*(h + 20)**4
Determine f, given that 4*f**2 - 32*f + 48 = 0.
2, 6
Suppose 35*d**3 + 145*d**2 - 2840*d + 6800 = 0. What is d?
-85/7, 4
Factor -d**5/4 + 25*d**4/2 + 39*d**3 + 79*d**2/2 + 53*d/4.
-d*(d - 53)*(d + 1)**3/4
Let 15*s**5 - 100*s**4 - 290*s**3 - 220*s**2 - 45*s = 0. Calculate s.
-1, -1/3, 0, 9
What is x in 5*x**3 + 2535*x**2 + 2530*x = 0?
-506, -1, 0
Factor b**4 - 58*b**3 + 897*b**2 - 1624*b + 784.
(b - 28)**2*(b - 1)**2
What is g in 4*g**5 + 57*g**4 + 11*g**3 - 42*g**2 = 0?
-14, -1, 0, 3/4
Solve 4*s**4 + 12*s**3 - 16*s = 0.
-2, 0, 1
Find m, given that -12*m**5 + 795*m**4 - 12438*m**3 - 24684*m**2 + 6936*m = 0.
-2, 0, 1/4, 34
Solve f**4 + 27*f**3 + 6*f**2 - 520*f = 0 for f.
-26, -5, 0, 4
What is g in -16*g**4 - 7384*g**3 - 857449*g**2 - 1273740*g - 476100 = 0?
-230, -3/4
Let 4*m**3 + 52*m**2 + 224*m + 320 = 0. What is m?
-5, -4
Factor 2*f**5/15 - 8*f**4/3 + 38*f**3/15.
2*f**3*(f - 19)*(f - 1)/15
Suppose 7*j**2/3 - 1081*j + 926/3 = 0. Calculate j.
2/7, 463
Find s such that -14*s**5/3 - 94*s**4/3 + 280*s**3/3 + 1160*s**2/3 + 544*s/3 - 256/3 = 0.
-8, -2, -1, 2/7, 4
Factor -d**3/6 + d**2/2 + d/6 - 1/2.
-(d - 3)*(d - 1)*(d + 1)/6
Factor -2*g**4/7 + 8*g**3/7 + 40*g**2/7 - 96*g/7.
-2*g*(g - 6)*(g - 2)*(g + 4)/7
Solve 3*u**2/7 + 276*u/7 = 0.
-92, 0
What is v in -v**5 - v**4 + 12*v**3 + 28*v**2 + 16*v = 0?
-2, -1, 0, 4
Factor -5*r**4 - 20*r**3 + 55*r**2 - 30*r.
-5*r*(r - 1)**2*(r + 6)
Factor 2*x**3 + 68*x**2 + 66*x.
2*x*(x + 1)*(x + 33)
Factor -2*i**2/13 - 94*i/13 - 92/13.
-2*(i + 1)*(i + 46)/13
Factor -l**3/5 + l**2 + 9*l/5 - 9.
-(l - 5)*(l - 3)*(l + 3)/5
Solve 2*v**5/3 + 5*v**4/3 + v**3 = 0.
-3/2, -1, 0
Find f, given that 3*f**4 + 258*f**3 + 1815*f**2 - 4416*f + 2340 = 0.
-78, -10, 1
Suppose n**2 - 49*n + 528 = 0. What is n?
16, 33
Find l, given that -4*l**2 - 1038*l - 269361/4 = 0.
-519/4
Solve 14*x**4/15 - 326*x**3/15 + 80*x**2/3 - 88*x/15 = 0.
0, 2/7, 1, 22
Suppose -8*a**5 - 52*a**4 - 28*a**3 + 148*a**2 - 60*a = 0. Calculate a.
-5, -3, 0, 1/2, 1
Suppose -4*b**5 - 176*b**4 + 20*b**3 + 880*b**2 - 16*b - 704 = 0. Calculate b.
-44, -2, -1, 1, 2
Factor -3*h**2/5 + 84*h/5.
-3*h*(h - 28)/5
Determine c so that -3*c**2 - 32586*c - 88487283 = 0.
-5431
Solve -g**5 + 9*g**3 - 4*g**2 - 12*g = 0 for g.
-3, -1, 0, 2
Determine f so that -2*f**4/7 + 24*f**3/7 - 20*f**2/7 - 24*f/7 + 22/7 = 0.
-1, 1, 11
What is z in -z**3/3 - 2*z**2 + 7*z/3 = 0?
-7, 0, 1
Find f, given that 3*f**2 + 318*f + 8427 = 0.
-53
Factor 2*j**3/5 + 12*j**2 + 114*j/5 + 56/5.
2*(j + 1)**2*(j + 28)/5
Determine p, given that 3*p**4 + 138*p**3 + 1584*p**2 - 138*p - 1587 = 0.
-23, -1, 1
Factor -f**4/8 + 127*f**3/4 - 375*f**2/2 + 373*f - 248.
-(f - 248)*(f - 2)**3/8
Factor -3*g**4 - 30*g**3 - 99*g**2 - 108*g.
-3*g*(g + 3)**2*(g + 4)
Solve -2*v**4/3 - 28*v**3/3 - 24*v**2 - 68*v/3 - 22/3 = 0 for v.
-11, -1
Determine y so that 5*y**3 + 75*y**2 + 60*y - 140 = 0.
-14, -2, 1
Factor 2*t**5 - 472*t**4 + 28776*t**3 - 109504*t**2 + 107648*t.
2*t*(t - 116)**2*(t - 2)**2
Factor 2*s**4 + 16*s**3 - 74*s**2 - 88*s.
2*s*(s - 4)*(s + 1)*(s + 11)
Determine y, given that y**4 - 4*y**3 - 11*y**2 + 66*y - 72 = 0.
-4, 2, 3
Factor 2*a**2 - 370*a - 748.
2*(a - 187)*(a + 2)
Solve -5*g**2 + 175*g - 170 = 0.
1, 34
Find j such that 2*j**2/3 + 28*j/3 = 0.
-14, 0
What is q in 2*q**2 - 44*q = 0?
0, 22
Suppose -5*v**4 + 70*v**3 - 185*v**2 - 240*v + 900 = 0. What is v?
-2, 3, 10
Factor 2*v**3/19 - 44*v**2/19 + 8*v - 144/19.
2*(v - 18)*(v - 2)**2/19
Solve -2*h**4 + 8*h**3 + 52*h**2 - 120*h - 450 = 0 for h.
-3, 5
Let 5*u**3 - 4150*u**2 + 861125*u = 0. What is u?
0, 415
Suppose -y**4/3 + 8*y**3/3 + y**2 - 26*y/3 + 16/3 = 0. Calculate y.
-2, 1, 8
Suppose -3*a**2 - 132*a - 252 = 0. What is a?
-42, -2
Factor -169*x**2/5 + 104*x - 80.
-(13*x - 20)**2/5
Factor 5*c**4 + 95*c**3 - 1260*c**2.
5*c**2*(c - 9)*(c + 28)
Factor -9*a**3 + 122*a**2 - 492*a + 504.
-(a - 6)**2*(9*a - 14)
Factor -2*z**5/3 + 2*z**4/3 + 4*z**3/3.
-2*z**3*(z - 2)*(z + 1)/3
Factor i**2/3 - 2*i.
i*(i - 6)/3
Determine x so that 4*x**4/5 - 13*x**3/5 - 49*x**2/5 + 73*x/5 - 3 = 0.
-3, 1/4, 1, 5
Factor n**3 + 3*n**2 - n - 3.
(n - 1)*(n + 1)*(n + 3)
Find a, given that a**5/6 - 29*a**4/6 - 3*a**3/2 + 265*a**2/6 - 52*a/3 - 58 = 0.
-3, -1, 2, 29
Factor -2*x**3/15 + 4*x**2/5 + 34*x/5 + 88/15.
-2*(x - 11)*(x + 1)*(x + 4)/15
Factor 4*s**3/9 - 88*s**2/3 + 112*s - 992/9.
4*(s - 62)*(s - 2)**2/9
Factor d**4/3 + 50*d**3/3 + 207*d**2 - 200*d/3 - 2500/3.
(d - 2)*(d + 2)*(d + 25)**2/3
Suppose -144*k**5 - 1616*k**4 + 1340*k**3 - 56*k**2 - 96*k = 0. Calculate k.
-12, -2/9, 0, 1/2
Factor v**2/9 + 11*v/9 + 10/3.
(v + 5)*(v + 6)/9
Find c, given that 2*c**4 + 18*c**3 - 124*c**2 + 216*c - 112 = 0.
-14, 1, 2
Find l, given that 4*l**4 - 168*l**3 + 2304*l**2 - 10240*l = 0.
0, 10, 16
Find l such that 2*l**5/7 - 68*l**4/7 + 632*l**3/7 - 752*l**2/7 - 2560*l/7 + 4096/7 = 0.
-2, 2, 16
Factor q**3/7 - 29*q**2/7 + 32*q - 28.
(q - 14)**2*(q - 1)/7
Solve -2*a**3/7 - 6*a**2/7 = 0 for a.
-3, 0
Factor w**4 - 2*w**3 - 5*w**2 + 6*w.
w*(w - 3)*(w - 1)*(w + 2)
Find q such that 3*q**3/7 + 18*q**2 + 123*q - 990/7 = 0.
-33, -10, 1
What is g in 2*g**4 + 36*g**3 + 120*g**2 - 400*g = 0?
-10, 0, 2
Factor 2*u**3/7 + 2*u**2/7.
2*u**2*(u + 1)/7
Factor i**3/3 - 2*i**2 + 8*i/3.
i*(i - 4)*(i - 2)/3
Factor g**2/3 + 10*g/3 - 8.
(g - 2)*(g + 12)/3
What is s in 2*s**5/3 + 44*s**4/3 + 236*s**3/3 - 136*s**2/3 - 814*s/3 - 484/3 = 0?
-11, -1, 2
Factor -w**2 - 96*w + 196.
-(w - 2)*(w + 98)
Factor 5*x**2 - 195*x.
5*x*(x - 39)
Let 8*h**5/7 - 2*h**4 - 12*h**3/7 + 2*h**2 + 4*h/7 = 0. Calculate h.
-1, -1/4, 0, 1, 2
Factor m**3/4 + 33*m**2/4 + 23*m + 15.
(m + 1)*(m + 2)*(m + 30)/4
Determine o, given that o**2/4 + 1503*o/4 + 751/2 = 0.
-1502, -1
Factor 4*g**2 + 67*g/2 - 45/2.
(g + 9)*(8*g - 5)/2
Solve m**2/5 - 4/5 = 0.
-2, 2
Solve -4*a**4/9 + 134*a**3/9 - 442*a**2/3 + 4354*a/9 - 1862/9 = 0.
1/2, 7, 19
Factor l**3/4 - 109*l**2/4 - 230*l - 468.
(l - 117)*(l + 4)**2/4
Find x, given that 35*x**5 + 25*x**4 - 255*x**3 + 35*x**2 + 220*x - 60 = 0.
-3, -1, 2/7, 1, 2
Suppose 2*z**5/9 - 2*z**4/3 - 32*z**3/9 - 8*z**2/3 = 0. Calculate z.
-2, -1, 0, 6
Factor -3*v**4/8 - 6*v**3 - 69*v**2/4 + 54*v - 243/8.
-3*(v - 1)**2*(v + 9)**2/8
Find g, given that -7*g**4/2 - 8*g**3 + 222*g**2 - 496*g - 160 = 0.
-10, -2/7, 4
Solve -m**2/9 - 62*m/9 - 961/9 = 0 for m.
-31
Factor -f**3 + 258*f**2 - 767*f + 510.
-(f - 255)*(f - 2)*(f - 1)
Factor j**2/10 - 33*j/10 - 17/5.
(j - 34)*(j + 1)/10
Determine q, given that 4*q**2/5 - 24*q/5 - 364/5 = 0.
-7, 13
Let -3*b**2 + 48*b - 189 = 0. What is b?
7, 9
Factor -2*v**5 - 4207*v**4/2 - 829502*v**3 - 145324069*v**2 - 9532318228*v + 4784350561/2.
-(v + 263)**4*(4*v - 1)/2
Let 147*i**5 + 1029*i**4 + 2340*i**3 + 1680*i**2 - 192*i - 144 = 0. What is i?
-3, -2, -2/7, 2/7
Factor 3*k**3/4 + 201*k**2/4 + 1125*k/4 + 1647/4.
3*(k + 3)**2*(k + 61)/4
Factor -5*a**4 - 250*a**3 - 2205*a**2 + 25480*a + 27440.
-5*(a - 7)*(a + 1)*(a + 28)**2
Factor -n**3/4 + n**2 - n/4 - 3/2.
-(n - 3)*(n - 2)*(n + 1)/4
Find t, given that -t**3 + 597*t**2 - 118803*t + 7880599 = 0.
199
Factor 26*r**3/3 - 10*r**2 + 4*r/3.
2*r*(r - 1)*(13*r - 2)/3
Factor -l**2/6 - 169*l/3 - 28561/6.
-(l + 169)**2/6
Fa