f**4 - 82*f**3/3 + 698*f**2/9 - 386*f/9 + 20/3 = 0.
1/3, 3, 10
Factor v**2 - 278*v + 19321.
(v - 139)**2
Let k**4 = 0. Calculate k.
0
Factor -y**2/11 - 1114*y/11 - 310249/11.
-(y + 557)**2/11
Suppose -3*z**3/5 + 72*z**2/5 - 429*z/5 = 0. What is z?
0, 11, 13
Factor -h**2/8 - 71*h/8 + 9.
-(h - 1)*(h + 72)/8
Find a such that -2*a**2/7 - 12*a - 82/7 = 0.
-41, -1
Determine g so that -4*g**4 + 4*g**3 + 36*g**2 + 44*g + 16 = 0.
-1, 4
Solve 2*u**2 + 1868*u + 436178 = 0 for u.
-467
Find q such that -5*q**4 - 100*q**3 - 405*q**2 - 450*q = 0.
-15, -3, -2, 0
Find f, given that -f**4/7 + 9*f**3/7 + 2*f**2 - 36*f/7 - 40/7 = 0.
-2, -1, 2, 10
Determine k, given that -k**3/5 - 48*k**2/5 - 489*k/5 - 442/5 = 0.
-34, -13, -1
Find s, given that -18*s**5 + 54*s**4 + 84*s**3 - 88*s**2/3 - 208*s/3 - 64/3 = 0.
-2/3, 1, 4
Let t**5/4 + 9*t**4/2 + 26*t**3 + 68*t**2 + 84*t + 40 = 0. What is t?
-10, -2
Find v such that v**2/4 - 97*v/2 + 9409/4 = 0.
97
Let -25*f**5/2 - 14755*f**4/2 + 28158*f**3 - 33832*f**2 + 15440*f - 2376 = 0. What is f?
-594, 2/5, 1, 2
Factor -l**4 - l**3 + l**2 + l.
-l*(l - 1)*(l + 1)**2
Determine u, given that -2*u**4 + 48*u**3 + 104*u**2 = 0.
-2, 0, 26
Suppose 10*g**4/7 - 28*g**3 + 1090*g**2/7 - 1152*g/7 - 648/7 = 0. Calculate g.
-2/5, 2, 9
Let 4986289*n**2/6 - 4466*n/3 + 2/3 = 0. Calculate n.
2/2233
Factor 2*t**3/9 + 58*t**2/3 - 2*t/9 - 58/3.
2*(t - 1)*(t + 1)*(t + 87)/9
Factor -b**3/3 + 31*b**2/3 + 22*b.
-b*(b - 33)*(b + 2)/3
Factor -o**3/3 - 101*o**2/3 - 392*o/3 - 388/3.
-(o + 2)**2*(o + 97)/3
Factor p**3/8 - 2*p**2 + 29*p/8 - 7/4.
(p - 14)*(p - 1)**2/8
Factor 7*b**3 - 32*b**2 + 27*b + 18.
(b - 3)*(b - 2)*(7*b + 3)
Let 8*i**3/7 + 74*i**2/7 + 178*i/7 + 40/7 = 0. What is i?
-5, -4, -1/4
Let 20*f**5 + 945*f**4 - 3785*f**3 + 2055*f**2 + 765*f = 0. Calculate f.
-51, -1/4, 0, 1, 3
Suppose u**2/4 - 1046*u + 1094116 = 0. What is u?
2092
Factor 2*q**2/17 + 82*q/17.
2*q*(q + 41)/17
Suppose -x**5 + 4*x**4 + 7*x**3 - 34*x**2 + 24*x = 0. What is x?
-3, 0, 1, 2, 4
Factor 3*l**3 + 6*l**2 - 21*l + 12.
3*(l - 1)**2*(l + 4)
Solve -2*q**5/13 - 158*q**4/13 - 450*q**3/13 + 478*q**2/13 + 1684*q/13 + 912/13 = 0.
-76, -3, -1, 2
Let -w**5/4 + 7*w**4/4 - 7*w**3/4 - 19*w**2/4 + 4*w + 5 = 0. Calculate w.
-1, 2, 5
Factor -4*l**2 + 88*l.
-4*l*(l - 22)
Solve -5*g**5/3 - 420*g**4 - 26875*g**3 - 156250*g**2/3 = 0.
-125, -2, 0
Solve 2*y**3/9 + 566*y**2/3 = 0 for y.
-849, 0
Determine q, given that -q**4 + 9*q**3 - 15*q**2 - 25*q = 0.
-1, 0, 5
Factor a**3/4 + 37*a**2/4 - a/4 - 37/4.
(a - 1)*(a + 1)*(a + 37)/4
Factor -5*w**3 + 8055*w**2 - 4325535*w + 774270765.
-5*(w - 537)**3
Factor 5*p**4/2 + 20*p**3 + 25*p**2/2 - 125*p.
5*p*(p - 2)*(p + 5)**2/2
Factor i**3/5 - i**2 - i/5 + 1.
(i - 5)*(i - 1)*(i + 1)/5
Find s such that 685*s**2 - 695*s + 10 = 0.
2/137, 1
Find v, given that -15*v**4/8 - 123*v**3/8 - 3*v**2 = 0.
-8, -1/5, 0
Factor 5*t**5 - 50*t**4 + 180*t**3 - 270*t**2 + 135*t.
5*t*(t - 3)**3*(t - 1)
Factor 2*f**2/19 + 508*f/19 + 32258/19.
2*(f + 127)**2/19
Suppose -2*f**3/23 + 214*f**2/23 + 888*f/23 = 0. What is f?
-4, 0, 111
Find k such that 6*k**2/11 - 82*k/11 - 8 = 0.
-1, 44/3
Factor -5*u**2 - 55*u - 120.
-5*(u + 3)*(u + 8)
Factor 2*g**2 + 572*g + 40898.
2*(g + 143)**2
Determine k so that 3*k**2 - 162*k + 2139 = 0.
23, 31
Factor -3*a**3 + 30*a**2 + 33*a.
-3*a*(a - 11)*(a + 1)
Solve -2*j**2/9 - 26908*j/9 - 90505058/9 = 0.
-6727
Factor 2*l**3/5 + 98*l**2.
2*l**2*(l + 245)/5
Factor v**3 + 24*v**2 + 45*v + 22.
(v + 1)**2*(v + 22)
Determine b so that 6*b**5/7 + 64*b**4/7 + 142*b**3/7 - 100*b**2/7 - 16*b = 0.
-7, -4, -2/3, 0, 1
What is g in -2*g**5/7 + 170*g**4/7 - 3350*g**3/7 - 11090*g**2/7 - 11440*g/7 - 3872/7 = 0?
-1, 44
Let 4*k**4 - 108*k**3 + 840*k**2 - 400*k - 12000 = 0. Calculate k.
-3, 10
Factor -m**4 - 5*m**3 - 8*m**2 - 4*m.
-m*(m + 1)*(m + 2)**2
Factor o**2 + 119*o + 1980.
(o + 20)*(o + 99)
Find z, given that 2*z**3 + 246*z**2 + 486*z + 242 = 0.
-121, -1
Find p such that p**4/3 + p**3 - 23*p**2/3 + 11*p - 14/3 = 0.
-7, 1, 2
What is q in q**2/2 + q - 3/2 = 0?
-3, 1
Suppose 4*a**5 - 20*a**4 + 4*a**3 + 52*a**2 - 8*a - 32 = 0. What is a?
-1, 1, 2, 4
Find c, given that c**3/2 + 7*c**2/2 - c/2 - 7/2 = 0.
-7, -1, 1
Factor a**3 + 9*a**2/4 - 47*a/2 - 6.
(a - 4)*(a + 6)*(4*a + 1)/4
Factor -g**2 - 7*g + 18.
-(g - 2)*(g + 9)
Solve c**2/2 - 23*c/2 + 11 = 0.
1, 22
Factor -p**3/2 + 7*p/2 + 3.
-(p - 3)*(p + 1)*(p + 2)/2
Factor -g**3/4 - 53*g**2/4 - 51*g/2.
-g*(g + 2)*(g + 51)/4
Suppose -q**4 + 2027*q**3/5 + 1062*q**2 - 2448*q/5 = 0. Calculate q.
-3, 0, 2/5, 408
Factor -h**2/6 - 10*h/3 - 50/3.
-(h + 10)**2/6
Let -7*b**2/3 + 8*b/3 - 1/3 = 0. Calculate b.
1/7, 1
Factor u**2/2 + 452*u - 905/2.
(u - 1)*(u + 905)/2
Factor 21*v**3/2 - v**2/4 - 25*v/2 - 7/4.
(v + 1)*(6*v - 7)*(7*v + 1)/4
Factor 2*a**2 - 4532*a.
2*a*(a - 2266)
Let 12*m**5 - 20*m**4 - 100*m**3 + 180*m**2 - 72*m = 0. What is m?
-3, 0, 2/3, 1, 3
Factor 2*k**5/7 - 4*k**4/7.
2*k**4*(k - 2)/7
Factor -z**5/2 - z**4/2 + 21*z**3/2 + 45*z**2/2.
-z**2*(z - 5)*(z + 3)**2/2
Factor 18*z**3 + z**2 - 72*z - 4.
(z - 2)*(z + 2)*(18*z + 1)
Suppose 75*y**4 + 3135*y**3 - 678*y**2 - 2028*y - 504 = 0. What is y?
-42, -2/5, 1
Factor -5*t**2 + 10*t.
-5*t*(t - 2)
Suppose 4*k**3/3 + 56*k**2/3 - 128*k - 1920 = 0. What is k?
-12, 10
Determine c, given that 2*c**5/9 + 20*c**4/9 + 64*c**3/9 + 64*c**2/9 = 0.
-4, -2, 0
Factor 2*w**2/5 - 12*w/5 - 14/5.
2*(w - 7)*(w + 1)/5
Suppose 2*k**3 + 20*k**2 + 62*k + 60 = 0. Calculate k.
-5, -3, -2
Let 23*i**4 - 298*i**3 + 792*i**2 + 1162*i + 49 = 0. Calculate i.
-1, -1/23, 7
Determine q, given that 2*q**3 - 2454*q**2 + 1003686*q - 136835858 = 0.
409
Find u such that -4*u**2 - 1668*u - 1664 = 0.
-416, -1
Suppose -4*k**4 - 6232*k**3 - 2421124*k**2 + 4860960*k - 2433600 = 0. What is k?
-780, 1
Factor 2*a**4/5 - 24*a**2/5 + 32*a/5.
2*a*(a - 2)**2*(a + 4)/5
What is q in -6*q**5/5 - 18*q**4/5 - 12*q**3/5 + 12*q**2/5 + 18*q/5 + 6/5 = 0?
-1, 1
Determine s, given that 4*s**2/3 + 152*s/9 - 352/9 = 0.
-44/3, 2
Factor -w**2/3 + 919*w/3.
-w*(w - 919)/3
Solve 2*y**3/11 + 32*y**2/11 + 58*y/11 + 28/11 = 0.
-14, -1
Determine c, given that 4*c**4/7 + 10*c**3/7 + 8*c**2/7 + 2*c/7 = 0.
-1, -1/2, 0
Factor n**4/3 - 208*n**3 + 48672*n**2 - 5061888*n + 197413632.
(n - 156)**4/3
Factor -i**2 - 378*i.
-i*(i + 378)
Factor -27*w**3/2 + 213*w**2/2 - 165*w/2 - 21/2.
-3*(w - 7)*(w - 1)*(9*w + 1)/2
Suppose -2*v**5/5 - 122*v**4/5 - 1186*v**3/5 - 4438*v**2/5 - 6972*v/5 - 720 = 0. Calculate v.
-50, -4, -3, -1
Suppose 6*b**3/7 + 30*b**2/7 - 48*b/7 - 72/7 = 0. What is b?
-6, -1, 2
Suppose 2*i**3/11 - 354*i**2/11 - 356*i/11 = 0. Calculate i.
-1, 0, 178
Factor -2*k**5/3 - 8*k**4/3 - 10*k**3/3 - 4*k**2/3.
-2*k**2*(k + 1)**2*(k + 2)/3
Factor -5*b**5 - 25*b**4 - 35*b**3 - 15*b**2.
-5*b**2*(b + 1)**2*(b + 3)
Suppose v**3/2 - 774*v**2 + 399384*v - 68694048 = 0. Calculate v.
516
Factor -v**4/6 + 13*v**3/6 - 23*v**2/6 + 11*v/6.
-v*(v - 11)*(v - 1)**2/6
Factor -3*k**3 - 4233*k**2 - 1491072*k + 1495308.
-3*(k - 1)*(k + 706)**2
Factor -4*p**5 - 1176*p**4 - 115248*p**3 - 3764768*p**2.
-4*p**2*(p + 98)**3
Factor 5*o**3 - 130*o**2 - 1325*o - 1190.
5*(o - 34)*(o + 1)*(o + 7)
Find p such that 27*p**4/4 - 921*p**3/4 + 75*p**2/4 + 921*p/4 - 51/2 = 0.
-1, 1/9, 1, 34
Suppose l**4/3 - 16*l**3/3 + 88*l**2/3 - 64*l + 48 = 0. What is l?
2, 6
Factor q**4/10 - 11*q**3/10 - q**2/10 + 11*q/10.
q*(q - 11)*(q - 1)*(q + 1)/10
Factor 2*n**3/3 + 10*n**2 + 32*n - 128/3.
2*(n - 1)*(n + 8)**2/3
Factor 2*o**3 + 990*o**2/7 + 696*o/7 - 40.
2*(o + 1)*(o + 70)*(7*o - 2)/7
Find t such that 2*t**2 - 140*t - 142 = 0.
-1, 71
Solve z**2 - 6626*z + 10975969 = 0.
3313
Determine d so that -10*d**3/11 + 14*d**2/11 - 4*d/11 = 0.
0, 2/5, 1
Factor -l**5 - 8*l**4 - 4*l**3 + 80*l**2 + 64*l - 256.
-(l - 2)**2*(l + 4)**3
Find t such that -20*t**3/3 + 905*t**2/3 - 1105*t/3 + 220/3 = 0.
1/4, 1, 44
Factor 3*n**3 + 28*n**2 + 28*n - 32.
(n + 2)*(n + 8)*(3*n - 2)
What is f in f**2/5 + 16*f/5 - 17/5 = 0?
-17, 1
Factor -2*r**2/7 - 296*r/7 - 10952/7.
-2*(r + 74)**2/7
Find t such that 66*t**4/5 - 177*t**3/5 - 69*t**2/5 + 18*t/5 = 0.
-1/2, 0, 2/11, 3
Suppose -4*g**4 - 252*g**3 - 472*g**2 + 1008*g + 1952 = 0. What is g?
-61, -2, 2
What is f in f**5/4 + 35*f**4/4 + 319*f**3/4 + 649*f**2/4 - 448*f - 539 = 0?
-22, -7, -1, 2
Factor 