late x.
-22, 1/4, 3
Factor -h**2/3 + 20*h - 300.
-(h - 30)**2/3
Factor -2*w**4 + 88*w**3/3 - 56*w**2/3.
-2*w**2*(w - 14)*(3*w - 2)/3
Let -2*u**2/9 + 368*u/9 + 248/3 = 0. What is u?
-2, 186
Suppose 3*x**3 + 87*x**2 - 288*x = 0. What is x?
-32, 0, 3
Factor -8*l**4 + 38*l**3 + 80*l**2 - 416*l.
-2*l*(l - 4)**2*(4*l + 13)
Find r, given that 400*r**2 - 240*r + 36 = 0.
3/10
Factor -n**5 - 4*n**4 - 4*n**3.
-n**3*(n + 2)**2
Factor 4*m**2 - 888*m + 49284.
4*(m - 111)**2
Factor -j**5/9 + 5*j**4/9 - 2*j**3/3 - 2*j**2/9 + 7*j/9 - 1/3.
-(j - 3)*(j - 1)**3*(j + 1)/9
Factor s**5/3 - 7*s**4/3 + 14*s**3/3 - 8*s**2/3.
s**2*(s - 4)*(s - 2)*(s - 1)/3
Find t, given that -2*t**2 - 2*t + 4 = 0.
-2, 1
Factor 4*v**4/3 + 152*v**3/3 - 160*v**2 + 488*v/3 - 164/3.
4*(v - 1)**3*(v + 41)/3
Factor n**3/5 - 18*n**2/5 + 32*n/5.
n*(n - 16)*(n - 2)/5
Find f such that 2*f**4 + 98*f**3/3 + 206*f**2/3 + 142*f/3 + 28/3 = 0.
-14, -1, -1/3
Suppose -3*t**2 + 39*t = 0. What is t?
0, 13
Determine x so that -6*x**2/7 + 12*x/7 + 18/7 = 0.
-1, 3
Factor 25*h**2 + 60*h + 20.
5*(h + 2)*(5*h + 2)
Let -b**5/6 + 11*b**4/6 + 8*b**3 - 38*b**2/3 - 56*b/3 = 0. Calculate b.
-4, -1, 0, 2, 14
Factor -3*z**5/4 + 15*z**4/4 + 45*z**3/2 + 75*z**2/2 + 105*z/4 + 27/4.
-3*(z - 9)*(z + 1)**4/4
Factor 5*u**3 + 6495*u**2 - 5*u - 6495.
5*(u - 1)*(u + 1)*(u + 1299)
Find k such that -2*k**3 - 172*k**2 + 350*k - 176 = 0.
-88, 1
What is s in -5*s**3/4 + 75*s**2/4 - 135*s/4 + 65/4 = 0?
1, 13
Let -36*b**2 - 300*b - 625 = 0. Calculate b.
-25/6
Find p such that 3*p**2 + 35106*p + 102702603 = 0.
-5851
Determine i so that i**2/3 + 32*i/3 + 31/3 = 0.
-31, -1
Suppose -4*h**5/3 + 140*h**4/3 - 640*h**3 + 4320*h**2 - 14400*h + 19008 = 0. Calculate h.
6, 11
Suppose d**5 - 128*d**4/5 - 952*d**3/5 - 448*d**2 - 2032*d/5 - 512/5 = 0. Calculate d.
-2, -2/5, 32
Factor 3*w**3/7 - 15*w**2/7 + 3*w - 9/7.
3*(w - 3)*(w - 1)**2/7
Factor -8*z**2/23 - 222*z/23 + 56/23.
-2*(z + 28)*(4*z - 1)/23
Factor -81*l**5 + 1836*l**4 + 2538*l**3 + 1284*l**2 + 287*l + 24.
-(l - 24)*(3*l + 1)**4
Suppose z**4 + 263*z**3 + 2310*z**2 + 6112*z + 4064 = 0. Calculate z.
-254, -4, -1
Determine p, given that -p**2 + 69*p - 68 = 0.
1, 68
Factor -7*j**3 - 93*j**2 - 110*j - 24.
-(j + 1)*(j + 12)*(7*j + 2)
Let 34*o**4/15 - 2*o**3/5 = 0. What is o?
0, 3/17
Suppose -2*h**2/3 - 20*h + 128/3 = 0. Calculate h.
-32, 2
Factor -4*l**3 - 296*l**2 - 4576*l.
-4*l*(l + 22)*(l + 52)
Solve -14*b**4 - 60*b**3 - 58*b**2 - 12*b = 0 for b.
-3, -1, -2/7, 0
Suppose -d**4/2 + 237*d**3 - 56641*d**2/2 + 55932*d - 27848 = 0. What is d?
1, 236
Factor f**4/2 - f**3/2 - 15*f**2/2 + 9*f/2 + 27.
(f - 3)**2*(f + 2)*(f + 3)/2
Factor -2*c**2/7 - 44*c/7 + 150/7.
-2*(c - 3)*(c + 25)/7
What is x in -x**5/4 + x**4/2 + 2*x**3 - 9*x**2/2 + 9*x/4 = 0?
-3, 0, 1, 3
Factor 5*a**3 - 40*a**2 + 105*a - 90.
5*(a - 3)**2*(a - 2)
Let 3*p**4/2 + 6*p**3 - 33*p**2/2 - 45*p = 0. What is p?
-5, -2, 0, 3
Factor l**5 - 37*l**4 + 402*l**3 - 832*l**2 - 3584*l.
l*(l - 16)**2*(l - 7)*(l + 2)
Find g, given that -3*g**5/7 + 2*g**4 - 16*g**3/7 + 2*g**2/7 + 3*g/7 = 0.
-1/3, 0, 1, 3
Determine t so that -t**4 + 34*t**3 - 28*t**2 - 162*t - 99 = 0.
-1, 3, 33
Find c such that -2*c**3/5 + 8*c**2/5 + 168*c/5 + 288/5 = 0.
-6, -2, 12
Determine o so that 6*o**5/11 + 16*o**4/11 - 90*o**3/11 - 4*o**2 + 24*o - 80/11 = 0.
-5, -2, 1/3, 2
Determine u, given that 672*u**5 - 14444*u**4 - 23032*u**3 - 5724*u**2 + 2560*u + 368 = 0.
-1, -2/3, -1/8, 2/7, 23
Factor 4*z**3 + 12*z**2 - 16*z.
4*z*(z - 1)*(z + 4)
Determine v, given that -16*v**3 + 296*v**2 - 665*v + 400 = 0.
5/4, 16
Factor 2*x**2/9 + 3220*x/9 + 1296050/9.
2*(x + 805)**2/9
Determine w, given that -2*w**3/7 - 32*w**2 + 454*w/7 - 228/7 = 0.
-114, 1
Factor -2*n**3/19 + 16*n**2/19 - 2*n + 24/19.
-2*(n - 4)*(n - 3)*(n - 1)/19
Factor -4*t**3 + 1188*t**2 - 7020*t + 10476.
-4*(t - 291)*(t - 3)**2
Factor -9*r**3 + 66*r**2 + 141*r - 54.
-3*(r - 9)*(r + 2)*(3*r - 1)
Factor -5*p**2 + 205*p + 210.
-5*(p - 42)*(p + 1)
Factor -k**3/5 - 1224*k**2/5 - 499392*k/5 - 67917312/5.
-(k + 408)**3/5
Determine a, given that a**3 - 9*a**2 - 49*a - 39 = 0.
-3, -1, 13
Solve 3*a**3 + 9*a**2 - 3*a - 9 = 0 for a.
-3, -1, 1
Solve -2*r**3 + 44*r**2 - 190*r - 572 = 0.
-2, 11, 13
Factor -11*h**2/3 + 47*h/3 - 4.
-(h - 4)*(11*h - 3)/3
Factor -4*r**2 - 1724*r.
-4*r*(r + 431)
Let -n**2/6 + 38*n/3 + 581/6 = 0. What is n?
-7, 83
Find z such that -3*z**4 + 9*z**3 + 51*z**2 - 117*z + 60 = 0.
-4, 1, 5
Let s**5 - 2*s**4 - 29*s**3 + 30*s**2 = 0. What is s?
-5, 0, 1, 6
Factor -2*g**2/5 - 26*g/5.
-2*g*(g + 13)/5
Suppose -20*j**3 - 76*j**2 - 64*j + 16 = 0. What is j?
-2, 1/5
What is b in 2*b**4 + 454*b**3 + 450*b**2 - 454*b - 452 = 0?
-226, -1, 1
Factor 2*l**2/5 + 38*l/5 + 96/5.
2*(l + 3)*(l + 16)/5
Suppose -i**2/2 - 258*i + 517/2 = 0. Calculate i.
-517, 1
Factor 2*x**4/5 + 238*x**3/5 - 482*x**2/5 + 242*x/5.
2*x*(x - 1)**2*(x + 121)/5
Factor -4*s**4 + 24*s**3 + 108*s**2 + 16*s - 144.
-4*(s - 9)*(s - 1)*(s + 2)**2
Factor -32*z**4 - 296*z**3 + 471*z**2/2 - 45*z.
-z*(z + 10)*(8*z - 3)**2/2
Factor -2*r**2/9 - 22*r/9 - 20/9.
-2*(r + 1)*(r + 10)/9
Let -q**5 + 8*q**4 - 17*q**3 - 2*q**2 + 24*q = 0. Calculate q.
-1, 0, 2, 3, 4
Factor 2*w**2/13 + 100*w/13 + 98/13.
2*(w + 1)*(w + 49)/13
Factor 5*i**4 - 50*i**3 + 45*i**2.
5*i**2*(i - 9)*(i - 1)
Factor 2*t**2 - 28*t + 26.
2*(t - 13)*(t - 1)
Suppose -o**2/9 - 19*o/9 - 2 = 0. Calculate o.
-18, -1
Factor -4*y**2 + 76*y - 192.
-4*(y - 16)*(y - 3)
Factor -5*v**2/3 + 185*v/3 + 2350/3.
-5*(v - 47)*(v + 10)/3
Factor 75*g**2 + 205*g - 280.
5*(g - 1)*(15*g + 56)
Factor -3*j**3 + 45*j**2 - 141*j + 99.
-3*(j - 11)*(j - 3)*(j - 1)
Suppose -t**2/5 - 358*t/5 - 712/5 = 0. Calculate t.
-356, -2
Let 16*j**5 + 76*j**4 + 90*j**3 + 18*j**2 = 0. What is j?
-3, -3/2, -1/4, 0
Factor -4*s**3 + 56*s**2 - 140*s + 88.
-4*(s - 11)*(s - 2)*(s - 1)
What is z in 35*z**2 + 255*z + 70 = 0?
-7, -2/7
Factor 3*d**5 - 42*d**4 + 192*d**3 - 354*d**2 + 285*d - 84.
3*(d - 7)*(d - 4)*(d - 1)**3
Determine w, given that -w**5/5 + 2*w**4/5 + 7*w**3/5 - 4*w**2 + 12*w/5 = 0.
-3, 0, 1, 2
Factor 6*s**2 - 58*s + 52.
2*(s - 1)*(3*s - 26)
Find n, given that 4*n**5/3 - 8*n**4/3 - 4*n**3 + 16*n**2/3 + 16*n/3 = 0.
-1, 0, 2
Factor -w**4/2 - 6*w**3 - 8*w**2 + 24*w + 40.
-(w - 2)*(w + 2)**2*(w + 10)/2
Factor -2*d**2 - 34*d - 132.
-2*(d + 6)*(d + 11)
Factor -28*l**2 - 708*l - 200.
-4*(l + 25)*(7*l + 2)
Let 2*w**2/15 + 76*w/3 + 126/5 = 0. Calculate w.
-189, -1
Let -7*w**5 - 2*w**4 + 21*w**3 + 20*w**2 + 4*w = 0. What is w?
-1, -2/7, 0, 2
Factor h**2/3 - 37*h/3 + 12.
(h - 36)*(h - 1)/3
Let -5*c**3 - 15315*c**2 - 15636615*c - 5321661305 = 0. What is c?
-1021
Factor -y**2/5 + 13*y/5 - 12/5.
-(y - 12)*(y - 1)/5
Factor -3*u**3/5 - 18*u**2/5 - 24*u/5.
-3*u*(u + 2)*(u + 4)/5
Factor -2*u**2 + 464*u - 26912.
-2*(u - 116)**2
Suppose 3*y**5 + 45*y**4 + 39*y**3 - 45*y**2 - 42*y = 0. What is y?
-14, -1, 0, 1
What is z in 7*z**4/4 - 1903*z**3/2 + 129200*z**2 + 36992*z = 0?
-2/7, 0, 272
Factor -w**2/4 + 251*w/4.
-w*(w - 251)/4
Factor -10*d**3/9 + 86*d**2/9 - 104*d/9 - 56/9.
-2*(d - 7)*(d - 2)*(5*d + 2)/9
Solve 4*d**5 - 8*d**4 - 96*d**3 + 128*d**2 + 512*d = 0 for d.
-4, -2, 0, 4
Solve 7*u**2 + 240*u + 68 = 0.
-34, -2/7
Factor m**3 - 6*m**2 - 24*m + 64.
(m - 8)*(m - 2)*(m + 4)
Find a such that -2*a**2/7 + 396*a/7 - 1930/7 = 0.
5, 193
Factor -9*k**3/2 + 627*k**2/2 - 812*k + 536.
-(k - 67)*(3*k - 4)**2/2
Suppose -2*a**2/5 + 1562*a - 7808/5 = 0. What is a?
1, 3904
Factor -48*d**3 - 134*d**2 - 80*d - 8.
-2*(d + 2)*(3*d + 2)*(8*d + 1)
Let t**4/2 + 2*t**3 - 69*t**2/2 - 198*t - 162 = 0. Calculate t.
-6, -1, 9
Factor 483*g**2/5 - 477*g/5 - 6/5.
3*(g - 1)*(161*g + 2)/5
Determine d, given that 10125*d**2 - 450*d + 5 = 0.
1/45
Determine n, given that 3*n**5 - 30*n**4 + 18*n**3 + 96*n**2 - 141*n + 54 = 0.
-2, 1, 9
Find g such that 24*g**2 - 28*g + 4 = 0.
1/6, 1
Factor -p**2/3 - 11990*p/3 - 35940025/3.
-(p + 5995)**2/3
Determine o, given that 672*o**4 - 1072*o**3 + 600*o**2 - 132*o + 8 = 0.
2/21, 1/2
Factor i**2 + 19*i + 60.
(i + 4)*(i + 15)
Suppose 4*c**5 + 19*c**4 + 15*c**3 - 25*c**2 - 19*c + 6 = 0. Calculate c.
-3, -2, -1, 1/4, 1
Find o such that 2*o**4/7 - 2*o**3/7 - 8*o**2/7 + 8*o/7 = 0.
-2, 0, 1, 2
Let 650*u**3 - 648*u**2 - 3902*u - 12 = 0. Calculate u.
-2, -1/325, 3
Factor -2*g**4 - 