-1, -1/3, 0
Let 2*j**5/5 + 8*j**4 + 124*j**3/5 - 376*j**2/5 + 42*j = 0. What is j?
-15, -7, 0, 1
Factor s**4/2 - 7*s**3/2 + 17*s**2/2 - 17*s/2 + 3.
(s - 3)*(s - 2)*(s - 1)**2/2
Suppose 3*w**2/8 + 27*w/4 + 12 = 0. What is w?
-16, -2
Determine w so that -2*w**2/11 + 12*w/11 - 10/11 = 0.
1, 5
Find x, given that x**2 - 458*x + 1365 = 0.
3, 455
Factor 2*m**4 - 196*m**3 + 6528*m**2 - 77824*m + 131072.
2*(m - 32)**3*(m - 2)
Factor -i**4 - i**3 + 2*i**2.
-i**2*(i - 1)*(i + 2)
Find j such that -15*j**5 - 26*j**4 + 37*j**3 + 48*j**2 - 28*j - 16 = 0.
-2, -4/3, -2/5, 1
Find t, given that -3*t**3 + 108*t**2 - 396*t + 384 = 0.
2, 32
Determine y so that -18*y**5/7 + 316*y**4/7 - 18*y**3 - 732*y**2/7 - 272*y/7 = 0.
-1, -4/9, 0, 2, 17
Factor 2*u**3 - 92*u**2 + 686*u + 2940.
2*(u - 35)*(u - 14)*(u + 3)
Suppose 15*i**5/8 - 9*i**4/2 - 27*i**3/2 + 159*i**2/4 - 243*i/8 + 27/4 = 0. What is i?
-3, 2/5, 1, 3
Factor 4*l**5 + 168*l**4 + 1152*l**3 + 2176*l**2.
4*l**2*(l + 4)**2*(l + 34)
Determine r so that -8*r**4/5 + 18*r**3/5 + 28*r**2/5 - 72*r/5 + 16/5 = 0.
-2, 1/4, 2
Let -3*h**5 + 63*h**4 = 0. Calculate h.
0, 21
Determine y, given that -9*y**5 - 173*y**4 + 151*y**3 + 213*y**2 - 142*y - 40 = 0.
-20, -1, -2/9, 1
Factor 3*u**5 - 9*u**4 - 69*u**3 - 99*u**2 - 42*u.
3*u*(u - 7)*(u + 1)**2*(u + 2)
Factor -15*r**2 + 441*r - 174.
-3*(r - 29)*(5*r - 2)
Suppose -2*y**2/9 + 20*y/3 - 112/9 = 0. Calculate y.
2, 28
What is n in 2*n**4/7 + 72*n**3/7 + 470*n**2/7 - 3600*n/7 - 4000/7 = 0?
-20, -1, 5
Solve -8*n**5 + 8*n**4 + 14*n**3 + 4*n**2 = 0.
-1/2, 0, 2
Let -4*o**4 - 36*o**3 + 84*o**2 - 44*o = 0. What is o?
-11, 0, 1
Solve 5*z**2 - 5620*z + 1579220 = 0 for z.
562
Suppose 3*c**5 + 237*c**4 + 4557*c**3 - 5037*c**2 - 4560*c + 4800 = 0. Calculate c.
-40, -1, 1
Factor 25*i**4 - 135*i**3 + 150*i**2 - 40*i.
5*i*(i - 4)*(i - 1)*(5*i - 2)
Factor i**4/3 - 4*i**3 - 15*i**2 - 4*i/3 + 20.
(i - 15)*(i - 1)*(i + 2)**2/3
Factor 2*a**2/17 + 450*a/17 + 448/17.
2*(a + 1)*(a + 224)/17
Factor 3*r**2 - 228*r + 4332.
3*(r - 38)**2
Solve -8*b**4/9 + 382*b**3/9 + 488*b**2/9 + 98*b/9 = 0 for b.
-1, -1/4, 0, 49
Let -y**2/5 - 56*y/5 - 208/5 = 0. Calculate y.
-52, -4
Factor 2*u**4 + 20*u**3 + 34*u**2 - 56*u.
2*u*(u - 1)*(u + 4)*(u + 7)
Factor j**3/5 - 37*j**2/5 + 11*j + 105.
(j - 35)*(j - 5)*(j + 3)/5
What is l in 4*l**2 - 44*l - 968 = 0?
-11, 22
Factor 2*r**2 + 28*r + 80.
2*(r + 4)*(r + 10)
Suppose 20*y**4 + 432*y**3 + 244*y**2 - 168*y = 0. What is y?
-21, -1, 0, 2/5
Factor -i**2 - 119*i - 118.
-(i + 1)*(i + 118)
Factor -6*r**3 - 28*r**2 - 40*r - 16.
-2*(r + 2)**2*(3*r + 2)
Factor 2*l**2/3 + 2*l/3 - 4/3.
2*(l - 1)*(l + 2)/3
Factor -p**2 - 75*p - 216.
-(p + 3)*(p + 72)
Factor 2*c**4/3 - 8*c**3 + 104*c**2/3 - 64*c + 128/3.
2*(c - 4)**2*(c - 2)**2/3
What is b in -4*b**3/9 - 44*b**2/9 + 20*b + 252 = 0?
-9, 7
Determine i, given that -4*i**5 + 4*i**4 + 20*i**3 - 20*i**2 - 16*i + 16 = 0.
-2, -1, 1, 2
Find l such that l**3 - 15*l**2 + 32*l + 48 = 0.
-1, 4, 12
Find g, given that -g**5 - 2*g**4 + 7*g**3 - 4*g**2 = 0.
-4, 0, 1
What is t in -3*t**3 + 4572*t**2 - 1746495*t + 3474726 = 0?
2, 761
Let 2*b**5/17 - 22*b**4/17 + 8*b**3/17 + 128*b**2/17 - 64*b/17 - 160/17 = 0. Calculate b.
-2, -1, 2, 10
Factor q**4/3 + 290*q**3/3 + 21313*q**2/3 + 13920*q + 6912.
(q + 1)**2*(q + 144)**2/3
Determine t, given that -t**5 - 14*t**4 + 66*t**3 - 104*t**2 + 71*t - 18 = 0.
-18, 1
Determine w, given that -2*w**3/11 - 36*w**2/11 - 14*w - 120/11 = 0.
-12, -5, -1
Factor 4*c**2 + 80*c + 400.
4*(c + 10)**2
Factor -21*r**2/2 - 29*r - 16.
-(r + 2)*(21*r + 16)/2
Factor -m**4/6 + 17*m**3/3 + m**2/2 - 52*m/3 + 34/3.
-(m - 34)*(m - 1)**2*(m + 2)/6
Solve 4*z**2 + 28*z + 24 = 0.
-6, -1
Let -3*c**5 - 33*c**4 - 18*c**3 + 132*c**2 + 120*c = 0. What is c?
-10, -2, -1, 0, 2
Factor -o**3/5 - 14*o**2 - 67*o/5 + 138/5.
-(o - 1)*(o + 2)*(o + 69)/5
Determine s, given that -5*s**5 - 45*s**4 - 90*s**3 + 20*s**2 + 120*s = 0.
-6, -2, 0, 1
Factor k**4/6 - 275*k**3/3 + 25391*k**2/2 - 75350*k/3 + 37538/3.
(k - 274)**2*(k - 1)**2/6
Find t, given that 4*t**5 + 204*t**4 + 4044*t**3 + 38740*t**2 + 178464*t + 316368 = 0.
-13, -6
Factor 5*s**2 + 5280*s.
5*s*(s + 1056)
Determine m, given that -18*m**4 - 184*m**3 - 454*m**2 - 344*m - 56 = 0.
-7, -2, -1, -2/9
Suppose 2*z**4/15 - 2*z**3/15 - 2*z**2/5 + 2*z/3 - 4/15 = 0. What is z?
-2, 1
Factor 2*k**2/13 - 2*k/13 - 4/13.
2*(k - 2)*(k + 1)/13
Factor -45*y**2 - 235*y - 50.
-5*(y + 5)*(9*y + 2)
Factor -4*d**2 + 148*d - 1288.
-4*(d - 23)*(d - 14)
Factor -3*v**4 - 156*v**3 - 3042*v**2 - 26364*v - 85683.
-3*(v + 13)**4
Find l, given that l**3/9 + 4*l**2/3 + 17*l/9 - 10/3 = 0.
-10, -3, 1
What is x in 5*x**3 + 175*x**2 + 1615*x + 1445 = 0?
-17, -1
Let -3*p**2/4 + 3153*p/2 - 3313803/4 = 0. What is p?
1051
Factor -3*f**2 + 12*f - 12.
-3*(f - 2)**2
Factor 4*i**2 - 9268*i + 18520.
4*(i - 2315)*(i - 2)
Let 3*z**2/5 + 258*z/5 - 261/5 = 0. Calculate z.
-87, 1
Find i, given that -4*i**3/5 - 4*i**2 - 32*i/5 - 16/5 = 0.
-2, -1
What is q in -2*q**2 + 2760*q - 952200 = 0?
690
Factor 2*m**3/9 + 8*m**2/3 - 110*m/9 - 100/3.
2*(m - 5)*(m + 2)*(m + 15)/9
What is g in -7*g**4/2 + 155*g**3/2 - 347*g**2 - 960*g + 144 = 0?
-2, 1/7, 12
Find v, given that 2*v**2/11 + 40*v/11 = 0.
-20, 0
Factor 3*n**4 - 9*n**3 - 18*n**2 + 24*n.
3*n*(n - 4)*(n - 1)*(n + 2)
Factor 3*d**2/5 + 27*d/5 - 336/5.
3*(d - 7)*(d + 16)/5
Suppose -4*a**3 + 11*a**2 + 75*a + 18 = 0. What is a?
-3, -1/4, 6
Let 43*s**3/5 - 424*s**2/5 + 203*s + 30 = 0. Calculate s.
-6/43, 5
Factor -w**4 - w**3 + 6*w**2.
-w**2*(w - 2)*(w + 3)
Find o, given that 4*o**4 + 48*o**3 + 184*o**2 + 240*o + 100 = 0.
-5, -1
Factor 2*i**2 - 72*i + 198.
2*(i - 33)*(i - 3)
Let -2*m**2 + 64*m + 136 = 0. What is m?
-2, 34
Suppose -4*x**3 - 112*x**2 - 340*x + 6936 = 0. Calculate x.
-17, 6
Determine w, given that -5*w**5 + 102*w**4 - 625*w**3 + 1124*w**2 - 756*w + 160 = 0.
2/5, 1, 8, 10
Suppose -o**2/6 - 29*o/6 + 175 = 0. What is o?
-50, 21
Suppose 10*u**2/19 - 3936*u/19 - 1576/19 = 0. What is u?
-2/5, 394
Factor -r**3 + 131*r**2 + 4256*r + 31164.
-(r - 159)*(r + 14)**2
Let 14*k**3/3 - 55*k**2 + 167*k - 130/3 = 0. Calculate k.
2/7, 5, 13/2
Find r, given that 3*r**3/5 - 141*r**2/5 + 273*r/5 - 27 = 0.
1, 45
Factor r**3 - 2*r**2 - 7*r - 4.
(r - 4)*(r + 1)**2
Solve 2*g**2/5 - 2*g/5 - 36 = 0 for g.
-9, 10
Solve -g**4/9 + 106*g**3/9 - 412*g**2/9 + 136*g/3 = 0.
0, 2, 102
Solve -19*l**4/3 - 82*l**3/3 - 119*l**2/3 - 68*l/3 - 4 = 0.
-2, -1, -6/19
Determine q so that -5*q**4 - 210*q**3 + 65*q**2 + 2790*q + 2520 = 0.
-42, -3, -1, 4
Determine d so that 4*d**3 + 104*d**2 - 224*d = 0.
-28, 0, 2
Factor 4*l**4 - 36*l**3 + 120*l**2 - 176*l + 96.
4*(l - 3)*(l - 2)**3
Factor -2*i**2/5 + 36*i/5 - 64/5.
-2*(i - 16)*(i - 2)/5
Factor -51*s**2 - 222*s.
-3*s*(17*s + 74)
Factor -2*m**3/11 - 4*m**2/11 - 2*m/11.
-2*m*(m + 1)**2/11
What is d in -2*d**4/11 + 4*d**3 + 504*d**2/11 + 1620*d/11 + 1674/11 = 0?
-3, 31
Suppose -895*z**3 - 726*z**2 + 171*z + 2 = 0. Calculate z.
-1, -2/179, 1/5
Factor 4*z**4/5 + 3*z**3/5 - 9*z**2/5 + 2*z/5.
z*(z - 1)*(z + 2)*(4*z - 1)/5
Factor 2*c**3/3 - 44*c**2 + 726*c.
2*c*(c - 33)**2/3
Factor d**3/2 - 11*d**2/2 - 23*d + 28.
(d - 14)*(d - 1)*(d + 4)/2
Let u**2/2 + 61*u + 3721/2 = 0. Calculate u.
-61
Solve d**2 - 122*d + 3721 = 0.
61
Factor -p**3/2 + 150*p**2 - 10944*p - 46208.
-(p - 152)**2*(p + 4)/2
Factor 2*d**2/11 + 2542*d/11 + 2540/11.
2*(d + 1)*(d + 1270)/11
Solve -p**3 - 8*p**2 + 33*p = 0 for p.
-11, 0, 3
Factor -5*a**3 + 1430*a**2 - 8445*a + 12600.
-5*(a - 280)*(a - 3)**2
Factor 2*k**2/5 + 3516*k/5 + 1545282/5.
2*(k + 879)**2/5
What is g in -g**3/2 + 21*g**2/2 - 63*g/2 - 85/2 = 0?
-1, 5, 17
Solve 4*j**2/5 + 12*j/5 - 72/5 = 0 for j.
-6, 3
Suppose -2*t**5 - 10*t**4 + 142*t**3 - 318*t**2 - 36*t + 432 = 0. What is t?
-12, -1, 2, 3
Factor -2*i**3/3 + 17*i**2/6 + 13*i/2 + 3.
-(i - 6)*(i + 1)*(4*i + 3)/6
Let 4*v**5/3 + 16*v**4 + 140*v**3/3 + 80*v**2/3 - 48*v - 128/3 = 0. What is v?
-8, -2, -1, 1
Suppose -f**2 - 396*f + 397 = 0. What is f?
-397, 1
Factor 2*y**2/3 + 6*y + 16/3.
2*(y + 1)*(y + 8)/3
Solve p**3/6 + 5*p**2/3 - 221*p/6 + 35 = 0.
-21, 1, 10
Let 12*u**5 - 9*u**4 - 12*u**3 + 9*u**2 = 0. Calculate u.
-1, 0, 3/4, 1
Determine t, given that t**4/6 - 13*t**3/3 + 71*t**2/2 - 286*t/3 + 242/3 = 0.
2, 11
Factor -c**4 - 7*c**3 - 1