 37*c**2/6 - 35*c/3 = 0. What is c?
-35, -2, 0
Determine b so that -3*b**5 - 39*b**4 - 171*b**3 - 297*b**2 - 162*b = 0.
-6, -3, -1, 0
Factor 4*l**3 + 36*l**2 - 84*l + 44.
4*(l - 1)**2*(l + 11)
Find h, given that 2*h**5 + 486*h**4 + 29278*h**3 - 30254*h**2 - 29280*h + 29768 = 0.
-122, -1, 1
Factor 3267*a**3 - 3663*a**2 + 408*a - 12.
3*(a - 1)*(33*a - 2)**2
Factor r**4/3 - 7*r**3/3 + 4*r**2.
r**2*(r - 4)*(r - 3)/3
Let 2*y**4/5 - 2*y**3/5 - 2*y**2 - 6*y/5 = 0. Calculate y.
-1, 0, 3
Factor -2*t**4/19 - 68*t**3/19 - 578*t**2/19.
-2*t**2*(t + 17)**2/19
Factor -2*r**2/15 - 52*r/3.
-2*r*(r + 130)/15
What is l in -4*l**5 - 8*l**4 + 8*l**3 + 16*l**2 - 4*l - 8 = 0?
-2, -1, 1
Factor -3*w**2 - 30*w - 48.
-3*(w + 2)*(w + 8)
Factor 2*z**3/7 - 10*z**2/7 - 26*z/7 - 2.
2*(z - 7)*(z + 1)**2/7
Solve -c**2/7 - 324*c/7 - 26244/7 = 0.
-162
Factor p**3 - 67*p**2.
p**2*(p - 67)
Factor 2*k**3 - 22*k**2 - 112*k - 120.
2*(k - 15)*(k + 2)**2
Determine o so that -6*o**4 + 63*o**3 - 723*o**2/8 - 1575*o/4 - 1875/8 = 0.
-1, 25/4
Let -c**3/4 + 10*c**2 - 147*c/4 + 27 = 0. What is c?
1, 3, 36
Find u, given that -12*u**5 - 285*u**4 - 708*u**3 - 309*u**2 + 126*u = 0.
-21, -2, -1, 0, 1/4
Suppose -2*q**5 + 84*q**4 - 1032*q**3 + 3116*q**2 - 2166*q = 0. Calculate q.
0, 1, 3, 19
Suppose m**5/2 - 12*m**4 - 51*m**3/2 - 13*m**2 = 0. What is m?
-1, 0, 26
Factor 5*j**5 + 70*j**4 + 165*j**3 - 560*j**2 + 320*j.
5*j*(j - 1)**2*(j + 8)**2
Factor -2*n**3/3 + 6*n**2 + 98*n/3 + 26.
-2*(n - 13)*(n + 1)*(n + 3)/3
Factor 3*d**5 - 9*d**3 - 6*d**2.
3*d**2*(d - 2)*(d + 1)**2
Let 5*z**2 - 90*z + 405 = 0. Calculate z.
9
Determine p, given that p**5 - 4*p**4 + 16*p**2 - 16*p = 0.
-2, 0, 2
Factor h**4/4 - 3*h**3 + 35*h**2/4 + 3*h - 9.
(h - 6)**2*(h - 1)*(h + 1)/4
Let 2*b**4 - 24*b**3 + 100*b**2 - 168*b + 90 = 0. Calculate b.
1, 3, 5
Factor -a**3/3 - 11*a**2/3 - 10*a.
-a*(a + 5)*(a + 6)/3
Determine m, given that 4*m**3 + 72*m**2 + 240*m - 800 = 0.
-10, 2
Let 3*x**4/7 - 162*x**3/7 + 468*x**2/7 - 66*x + 153/7 = 0. What is x?
1, 51
Factor 12*i**3 + 4*i**2 - 192*i - 64.
4*(i - 4)*(i + 4)*(3*i + 1)
Factor 6*h**4 - 8*h**3 - 70*h**2 + 24*h.
2*h*(h - 4)*(h + 3)*(3*h - 1)
Find x such that 242*x**5/7 + 88*x**4/7 - 10398*x**3/7 - 13948*x**2/7 - 4040*x/7 - 48 = 0.
-6, -1, -2/11, 7
Factor -2*r**2/13 + 204*r/13 - 5202/13.
-2*(r - 51)**2/13
Factor -2*b**3/3 + 70*b**2/3 + 2*b/3 - 70/3.
-2*(b - 35)*(b - 1)*(b + 1)/3
Factor -4*d**4 + 152*d**3 + 316*d**2 + 160*d.
-4*d*(d - 40)*(d + 1)**2
Factor -m**2/8 - 5*m/4 - 9/8.
-(m + 1)*(m + 9)/8
Determine c so that -4*c**5/7 - 100*c**4/7 + 116*c**3/7 + 292*c**2/7 - 512*c/7 + 208/7 = 0.
-26, -2, 1
Factor 2*m**2/5 - 106*m + 528/5.
2*(m - 264)*(m - 1)/5
Factor 2*f**3/7 - 78*f/7 - 20.
2*(f - 7)*(f + 2)*(f + 5)/7
Find u such that 5*u**5 + 20*u**4 - 100*u**3 - 150*u**2 + 495*u - 270 = 0.
-6, -3, 1, 3
Suppose -3*u**3/5 + 618*u**2/5 - 123*u = 0. Calculate u.
0, 1, 205
Determine z, given that -2*z**3/3 + 8*z**2/3 + 32*z/3 - 128/3 = 0.
-4, 4
Determine r, given that -r**4/5 - 559*r**3/5 = 0.
-559, 0
Factor -4*g**3 - 355*g**2 - 263*g + 88.
-(g + 1)*(g + 88)*(4*g - 1)
Factor 2*l**3/3 + 14*l**2/3 + 16*l/3 - 32/3.
2*(l - 1)*(l + 4)**2/3
Factor 4*z**5 - 256*z**4 + 744*z**3 - 736*z**2 + 244*z.
4*z*(z - 61)*(z - 1)**3
Let 2*m**4 - 88*m**3 + 876*m**2 + 2024*m + 1058 = 0. Calculate m.
-1, 23
Determine v so that -2*v**5 + 20*v**4 + 28*v**3 - 64*v**2 - 26*v + 44 = 0.
-2, -1, 1, 11
What is j in 540*j**4 - 1472*j**3 + 644*j**2 + 272*j + 16 = 0?
-1/5, -2/27, 1, 2
Solve 40*v**5 + 152*v**4 + 82*v**3 - 48*v**2 - 18*v = 0.
-3, -1, -3/10, 0, 1/2
Find h such that -289*h**5 - 1547*h**4 - 3018*h**3 - 2560*h**2 - 800*h = 0.
-2, -20/17, -1, 0
Solve -p**5 - 58*p**4 - 372*p**3 - 778*p**2 - 667*p - 204 = 0.
-51, -4, -1
Factor -2*n**4 - 30*n**3 - 26*n**2 + 30*n + 28.
-2*(n - 1)*(n + 1)**2*(n + 14)
Factor -4*c**2/9 + 172*c/9 + 176/9.
-4*(c - 44)*(c + 1)/9
Determine h so that 10*h**4 - 875*h**3 + 16010*h**2 + 140765*h + 66270 = 0.
-6, -1/2, 47
Suppose -2*t**4 + 32*t**3 + 34*t**2 = 0. What is t?
-1, 0, 17
Factor 3*o**3 + 6*o**2 - 63*o + 54.
3*(o - 3)*(o - 1)*(o + 6)
Determine l, given that l**3/2 + 319*l**2/6 + 8533*l/6 + 2809/6 = 0.
-53, -1/3
Factor -f**2/9 - 10*f/9 + 32/3.
-(f - 6)*(f + 16)/9
Factor -15*q**4 + 27*q**3 - 9*q**2 - 3*q.
-3*q*(q - 1)**2*(5*q + 1)
Factor 5*b**2/2 + 1320*b + 174240.
5*(b + 264)**2/2
Find k such that 4*k**5 - 28*k**4 + 60*k**3 - 36*k**2 = 0.
0, 1, 3
Factor h**2/2 + h - 63/2.
(h - 7)*(h + 9)/2
Determine f, given that f**3/3 + f**2/12 - f/3 - 1/12 = 0.
-1, -1/4, 1
Suppose 4*q**2 - 1204*q + 4752 = 0. Calculate q.
4, 297
Factor 4*v**4/3 - 17596*v**3/3 + 8596620*v**2 - 4192269372*v - 8418972168.
4*(v - 1467)**3*(v + 2)/3
Solve -70*b**5 + 335*b**4 - 405*b**3 + 55*b**2 + 115*b - 30 = 0 for b.
-1/2, 2/7, 1, 3
Solve -m**4 + m**3 + 4*m**2 - 4*m = 0 for m.
-2, 0, 1, 2
Factor -4*n**2 - 976*n - 972.
-4*(n + 1)*(n + 243)
Find v, given that 4*v**4 + 1068*v**3 = 0.
-267, 0
Determine l so that -3*l**2 - 252*l + 516 = 0.
-86, 2
Solve -10*s**4/3 + 2*s**3 + 58*s**2 + 218*s/3 + 20 = 0 for s.
-3, -1, -2/5, 5
Let 4*d**3/7 - 5356*d**2/7 + 1774028*d/7 + 1811716 = 0. Calculate d.
-7, 673
Factor 3*t**4 + 21*t**3 - 12*t**2 - 84*t.
3*t*(t - 2)*(t + 2)*(t + 7)
Find y such that 3*y**3 - 1671*y**2 + 9945*y - 14877 = 0.
3, 551
Solve -o**3/2 - o**2/2 + 504*o - 5994 = 0.
-37, 18
Suppose 12*k**4/5 + 303*k**3/5 - 1719*k**2/5 + 2856*k/5 - 1452/5 = 0. Calculate k.
-121/4, 1, 2
Suppose 15*v**5 - 5*v**4 - 135*v**3 + 105*v**2 + 160*v - 60 = 0. Calculate v.
-3, -1, 1/3, 2
Solve 20*y**4 - 50*y**3 + 145*y**2/4 - 5*y/2 - 15/4 = 0.
-1/4, 3/4, 1
Suppose -6*t**3 + 26*t**2 - 8*t = 0. Calculate t.
0, 1/3, 4
Suppose 2*g**3 + 160*g**2 - 1394*g + 1232 = 0. What is g?
-88, 1, 7
Factor -4*v**3 + 329*v**2/2 - 361*v/2 + 20.
-(v - 40)*(v - 1)*(8*v - 1)/2
Find d such that 2*d**2/7 + 1446*d/7 = 0.
-723, 0
What is u in 2*u**2/3 - 92*u/3 = 0?
0, 46
Factor 3*m**4/4 + 15*m**3/2 - 33*m**2/4.
3*m**2*(m - 1)*(m + 11)/4
Determine z so that -12*z**5 + 609*z**3 - 1179*z**2 + 726*z - 144 = 0.
-8, 1/2, 1, 6
Let 22*i**5/3 + 206*i**4/15 - 74*i**3/3 + 6*i**2/5 + 12*i/5 = 0. What is i?
-3, -3/11, 0, 2/5, 1
Solve -6*o**3/11 - 56*o**2/11 + 296*o/11 - 320/11 = 0.
-40/3, 2
Suppose 5*r**3 + 230*r**2 + 1025*r = 0. Calculate r.
-41, -5, 0
Factor -l**2/8 + 7*l/8.
-l*(l - 7)/8
Factor 4*t**2 - 912*t + 51984.
4*(t - 114)**2
Factor -2*z**3/15 - 958*z**2/15 - 7616*z + 7680.
-2*(z - 1)*(z + 240)**2/15
Factor -3*n**5 + 9*n**4 - 12*n**2.
-3*n**2*(n - 2)**2*(n + 1)
Find z such that 2*z**5/5 - 2*z**4/5 - 4*z**3/5 = 0.
-1, 0, 2
Find l such that 3*l**5 + 20*l**4 + 38*l**3 + 24*l**2 - l - 4 = 0.
-4, -1, 1/3
What is b in -2*b**5 + 10*b**4 + 158*b**3 + 134*b**2 - 156*b - 144 = 0?
-6, -1, 1, 12
Factor 2*q**2/7 + 1462*q/7.
2*q*(q + 731)/7
Let -o**3/3 - 82*o**2/3 + 85*o/3 + 166/3 = 0. What is o?
-83, -1, 2
Factor h**3/3 + 4*h**2 + 7*h + 10/3.
(h + 1)**2*(h + 10)/3
Suppose 3*b**2/5 - 93*b - 480 = 0. Calculate b.
-5, 160
Let -2*g**2 - 6*g + 36 = 0. Calculate g.
-6, 3
Suppose 275*n**3 + 570*n**2 + 315*n + 20 = 0. Calculate n.
-1, -4/55
Find w such that -w**4/4 + 39*w**3/4 - 37*w**2/2 = 0.
0, 2, 37
Determine p, given that -p**3 - 23*p**2/5 + 26*p - 48/5 = 0.
-8, 2/5, 3
Factor -4*o**4 - 84*o**3 - 216*o**2 + 16*o + 288.
-4*(o - 1)*(o + 2)**2*(o + 18)
Factor -3*q**4 + 21*q**3 + 180*q**2.
-3*q**2*(q - 12)*(q + 5)
Let 2*g**4/9 - 188*g**3/9 + 616*g**2 - 4356*g - 39930 = 0. Calculate g.
-5, 33
Factor o**3/4 - 11*o**2 - 47*o - 48.
(o - 48)*(o + 2)**2/4
Factor -r**4/3 - 308*r**3/3 - 24622*r**2/3 - 46508*r - 68403.
-(r + 3)**2*(r + 151)**2/3
Determine m so that 2*m**5/3 + 124*m**4/3 + 158*m**3 + 584*m**2/3 + 232*m/3 = 0.
-58, -2, -1, 0
Factor 2*i**4/7 - 132*i**3/7.
2*i**3*(i - 66)/7
Solve -2*y**4 + 271*y**3 - 9112*y**2 - 4624*y = 0.
-1/2, 0, 68
Determine j so that -j**5/6 + 2*j**4/3 + j**3/6 - 8*j**2/3 + 2*j = 0.
-2, 0, 1, 2, 3
Solve -2*o**5 + 70*o**4 - 408*o**3 + 416*o**2 + 896*o = 0.
-1, 0, 4, 28
Solve 4*k**3 - 24*k**2 - 4*k + 24 = 0 for k.
-1, 1, 6
Suppose 2*l**5/17 - 16*l**4/17 + 42*l**3/17 - 44*l**2/17 + 16*l/17 = 0. Calculate l.
0, 1, 2, 4
Factor 2*v**4/7 + 34*v**3/7 - 54*v**2/7 - 486*v - 14580/7.
2*(v - 10)*(v + 9)**3/7
Determine u so that -u**2/4 - 905*u/2 - 819025/4 = 0.
-905
Factor 3*s**4 - 465*s**3