3)/3
Let -2*t**5/21 + 2*t**4/7 + 2*t**3/7 - 22*t**2/21 + 4*t/7 = 0. Calculate t.
-2, 0, 1, 3
Let 4*x**3 - 13560*x**2/7 + 17396*x/7 - 552 = 0. Calculate x.
2/7, 1, 483
Suppose -3*k**2/7 - 324*k/7 + 660/7 = 0. Calculate k.
-110, 2
Find g, given that 12*g**3 + 224*g**2 - 336*g - 320 = 0.
-20, -2/3, 2
Let 2*c**3/3 - 472*c**2/3 - 2398*c/3 - 964 = 0. What is c?
-3, -2, 241
Solve 288*w**5 - 17808*w**4 + 279698*w**3 - 136528*w**2 + 16928*w = 0.
0, 1/4, 92/3
Let -40*t**5 + 65*t**4 + 70*t**3 - 65*t**2 - 30*t = 0. What is t?
-1, -3/8, 0, 1, 2
Find o, given that 2*o**3/3 + 86*o**2 + 2730*o - 8450/3 = 0.
-65, 1
Factor -2*o**2/13 - 134*o/13 - 384/13.
-2*(o + 3)*(o + 64)/13
Factor 3*l**2/7 - 282*l/7 + 6627/7.
3*(l - 47)**2/7
Let 4*i**5/11 + 86*i**4/11 + 390*i**3/11 + 634*i**2/11 + 422*i/11 + 96/11 = 0. What is i?
-16, -3, -1, -1/2
Factor 45*v**5 + 84*v**4 + 33*v**3 - 6*v**2.
3*v**2*(v + 1)**2*(15*v - 2)
Find y, given that -2*y**4/3 + 26*y**3/3 + 14*y**2 - 1666*y/3 + 5488/3 = 0.
-8, 7
Suppose 2*i**2/7 + 16*i/7 + 2 = 0. What is i?
-7, -1
Determine w so that 9*w**3 + 6492*w**2 + 1168557*w - 781926 = 0.
-361, 2/3
Determine l so that -l**2/10 + 188*l/5 - 17672/5 = 0.
188
Factor -o**3 - 2292*o**2 - 1751088*o - 445943744.
-(o + 764)**3
What is a in -4*a**4/7 + 496*a**3/7 - 15376*a**2/7 = 0?
0, 62
Let i**4 + 114*i**3 + 4332*i**2 + 54872*i = 0. What is i?
-38, 0
Determine v, given that 30*v**4 - 275*v**3/6 - 80*v**2/3 - 10*v/3 = 0.
-1/4, -2/9, 0, 2
Find u, given that -2608225*u**2/2 - 1615*u - 1/2 = 0.
-1/1615
Solve -14*y**4 - 4*y**3 + 56*y**2 + 16*y = 0.
-2, -2/7, 0, 2
Factor -2*g**2 - 52*g.
-2*g*(g + 26)
Factor -5*h**2 - 5365*h - 5360.
-5*(h + 1)*(h + 1072)
Factor -5*h**2/3 + 30*h.
-5*h*(h - 18)/3
Factor -3*d**2 + 63*d - 162.
-3*(d - 18)*(d - 3)
Factor 4*x**3 + 216*x**2 + 212*x.
4*x*(x + 1)*(x + 53)
Determine u so that 3*u**4 + 30*u**3 + 75*u**2 = 0.
-5, 0
Factor -d**2/2 + 13*d + 27/2.
-(d - 27)*(d + 1)/2
Find q such that q**2/5 + 2*q/5 - 3 = 0.
-5, 3
Factor -22*a**3/13 - 70*a**2/13 - 12*a/13.
-2*a*(a + 3)*(11*a + 2)/13
Solve -j**4/4 + 7*j**3/2 - 51*j**2/4 + 27*j/2 = 0.
0, 2, 3, 9
Let o**5/4 - o**4/4 - o**3 + o**2 = 0. What is o?
-2, 0, 1, 2
Let -2*w**2 - 44*w + 46 = 0. What is w?
-23, 1
Factor 2*c**5/5 + 20*c**4 + 184*c**3 - 1616*c**2 + 3584*c - 12544/5.
2*(c - 2)**3*(c + 28)**2/5
Factor 2*w**5 - 166*w**4 + 3822*w**3 - 15210*w**2.
2*w**2*(w - 39)**2*(w - 5)
Factor h**4/3 - 33*h**3.
h**3*(h - 99)/3
Factor -f**3/2 + 33*f**2/2 + 113*f + 156.
-(f - 39)*(f + 2)*(f + 4)/2
Factor 2*p**3/23 - 16*p**2/23 + 24*p/23.
2*p*(p - 6)*(p - 2)/23
Solve y**2/6 + 35*y/6 - 19 = 0 for y.
-38, 3
Suppose 3*o**3/7 - 4434*o**2/7 + 1633920*o/7 + 3285600/7 = 0. What is o?
-2, 740
What is x in -80*x**5 + 3160*x**4 - 13085*x**3 + 17155*x**2 - 6320*x + 700 = 0?
1/4, 2, 35
Solve w**4/4 + 155*w**3/4 + 453*w**2/2 + 449*w + 298 = 0.
-149, -2
Determine p so that -3*p**2/4 - 237*p/2 + 240 = 0.
-160, 2
Suppose 2*q**2/11 - 344*q/11 + 14792/11 = 0. What is q?
86
Factor b**2/8 - 23*b - 1737/8.
(b - 193)*(b + 9)/8
Determine r so that -r**3 + 4*r**2 - 5*r + 2 = 0.
1, 2
Let 2*b**2 - 30*b + 52 = 0. What is b?
2, 13
Solve -b**5/2 + 3*b**4/4 + 5*b**3/4 - 5*b**2/4 - 3*b/4 + 1/2 = 0.
-1, 1/2, 1, 2
Suppose 5*a**5 + 195*a**4 + 1995*a**3 + 1805*a**2 = 0. Calculate a.
-19, -1, 0
Find g such that -g**4/3 + 5*g**3 - 8*g**2/3 - 28*g = 0.
-2, 0, 3, 14
Factor 2*m**3/13 + 152*m**2/13 + 298*m/13 + 148/13.
2*(m + 1)**2*(m + 74)/13
Find b, given that 15*b**3 + 108*b**2 - 96*b = 0.
-8, 0, 4/5
Solve 3*m**4/4 + 267*m**3/4 + 2241*m**2/4 + 6561*m/4 + 1620 = 0.
-80, -3
Factor 5*m**4.
5*m**4
What is x in 5*x**3/4 - 15*x**2/2 + 45*x/4 - 5 = 0?
1, 4
Suppose 14*r**5/17 - 38*r**4/17 - 54*r**3/17 + 86*r**2/17 + 112*r/17 + 24/17 = 0. Calculate r.
-1, -2/7, 2, 3
Find v such that 6*v**3 + 313*v**2 + 652*v + 100 = 0.
-50, -2, -1/6
Factor 5*g**4 + 5*g**3 - 60*g**2 + 20*g + 80.
5*(g - 2)**2*(g + 1)*(g + 4)
Factor -2*t**3/5 - 2*t**2.
-2*t**2*(t + 5)/5
Factor j**3/5 + 9*j**2/5 - j/5 - 9/5.
(j - 1)*(j + 1)*(j + 9)/5
Factor 4*o**3/7 + 80*o**2/7 - 188*o/7 - 264/7.
4*(o - 3)*(o + 1)*(o + 22)/7
Let -b**2 - 26*b - 48 = 0. Calculate b.
-24, -2
Factor w**3 + 7*w**2 + 4*w - 12.
(w - 1)*(w + 2)*(w + 6)
Factor -2*m**3/15 - 4*m**2/3 - 64*m/15 - 64/15.
-2*(m + 2)*(m + 4)**2/15
Factor -4*m**4 + 56*m**3 - 288*m**2 + 640*m - 512.
-4*(m - 4)**3*(m - 2)
Determine x so that -2*x**4/9 - 2*x**3/9 + 2*x**2/9 + 2*x/9 = 0.
-1, 0, 1
Solve -2*b**4/11 - 38*b**3/11 - 186*b**2/11 + 54*b/11 + 972/11 = 0 for b.
-9, -3, 2
Suppose p**4/3 - 65*p**3/3 - 68*p**2/3 + 44*p = 0. Calculate p.
-2, 0, 1, 66
Find v, given that -3*v**4/2 + 285*v**2/2 + 405*v + 264 = 0.
-8, -2, -1, 11
Let -3*p**3 + 165*p**2 - 1008*p = 0. What is p?
0, 7, 48
Let 2*n**5/7 + 8*n**4/7 + 12*n**3/7 + 8*n**2/7 + 2*n/7 = 0. What is n?
-1, 0
Determine m, given that -5*m**5 - 50*m**4 + 1680*m**3 = 0.
-24, 0, 14
Let 2*d**5/7 - 26*d**4/7 + 46*d**3/7 - 22*d**2/7 = 0. What is d?
0, 1, 11
Factor 2*s**2 + 154*s.
2*s*(s + 77)
Let -11*x**2 - 128*x + 48 = 0. Calculate x.
-12, 4/11
Solve 3*w**2/2 - 1251*w + 521667/2 = 0 for w.
417
Factor 3*w**4 + 39*w**3 - 513*w**2 + 1701*w - 1782.
3*(w - 3)**3*(w + 22)
Factor 2*y**3/13 - 196*y**2/13 + 4802*y/13.
2*y*(y - 49)**2/13
Factor -5*d**4 - 10*d**3 + 15*d**2 + 20*d - 20.
-5*(d - 1)**2*(d + 2)**2
Factor 31*t**3/3 - 47*t**2/3 + t/3 + 5.
(t - 1)**2*(31*t + 15)/3
Determine s so that 2*s**2/5 + 2792*s/5 + 974408/5 = 0.
-698
Factor 2*l**2/5 + 16*l/5 + 32/5.
2*(l + 4)**2/5
Determine t so that -2*t**2/3 + 4*t = 0.
0, 6
Determine i, given that 60*i**5 - 291*i**4 + 429*i**3 - 138*i**2 - 84*i + 24 = 0.
-2/5, 1/4, 1, 2
Solve -t**3 + 1725*t**2 - 743043*t - 744769 = 0 for t.
-1, 863
Let s**4/2 + 65*s**3/2 + 704*s**2 + 5280*s + 4608 = 0. What is s?
-24, -16, -1
Suppose -3*b**2/5 + 81*b - 798/5 = 0. Calculate b.
2, 133
Let -2*q**4 - 6*q**3 + 262*q**2 + 6*q - 260 = 0. What is q?
-13, -1, 1, 10
Factor -49*s**3/10 - 10*s**2 - 2*s/5.
-s*(s + 2)*(49*s + 2)/10
Determine i, given that 3*i**2/4 - 45*i/2 + 675/4 = 0.
15
Suppose -3*y**5 - 21*y**4/5 - 6*y**3/5 = 0. Calculate y.
-1, -2/5, 0
What is r in r**3 + 46*r**2 - 145*r + 98 = 0?
-49, 1, 2
Factor 2*n**4 + 80*n**3 + 942*n**2 + 2808*n + 1944.
2*(n + 1)*(n + 3)*(n + 18)**2
Let -7*f**3/6 + 19*f**2/6 - 4*f/3 - 2/3 = 0. What is f?
-2/7, 1, 2
Find t, given that -t**4/3 + 19*t**3 - 52*t**2/3 - 76*t + 224/3 = 0.
-2, 1, 2, 56
Factor 8*q**4 + 50*q**3 + 84*q**2 + 18*q.
2*q*(q + 3)**2*(4*q + 1)
Determine o, given that 94*o**2/3 - 4*o/3 = 0.
0, 2/47
Find s such that 3*s**5/2 - 18*s**4 + 39*s**3 + 126*s**2 - 945*s/2 + 324 = 0.
-3, 1, 3, 8
Factor v**3/7 + 101*v**2/7 + 2600*v/7 + 2500/7.
(v + 1)*(v + 50)**2/7
Factor -2*c**4/5 - 4*c**3/5 + 2*c**2/5 + 4*c/5.
-2*c*(c - 1)*(c + 1)*(c + 2)/5
Factor -4*p**3 - 60*p**2 + 1312*p - 4032.
-4*(p - 9)*(p - 4)*(p + 28)
Suppose 5*l**2 + 1425*l - 1430 = 0. What is l?
-286, 1
Factor 4*u**2 - 136*u - 140.
4*(u - 35)*(u + 1)
Factor i**4 + 2*i**3 - 3*i**2 - 4*i + 4.
(i - 1)**2*(i + 2)**2
Find h such that h**3 + 76*h**2 + 1792*h + 12288 = 0.
-32, -12
Solve -2*r**4/11 - 8*r**3 + 834*r**2/11 + 8*r - 832/11 = 0 for r.
-52, -1, 1, 8
Suppose -h**3/5 - 76*h**2/5 + h/5 + 76/5 = 0. What is h?
-76, -1, 1
Find t such that 3*t**2/2 - 306*t + 4137/2 = 0.
7, 197
Let 3*d**5/5 - 42*d**4 + 3879*d**3/5 - 1428*d**2 + 3468*d/5 = 0. What is d?
0, 1, 34
Suppose -2*v**4/21 - 120*v**3/7 = 0. What is v?
-180, 0
Factor -5*q**4 + 285*q**3 + 15*q**2 - 845*q - 570.
-5*(q - 57)*(q - 2)*(q + 1)**2
Find o such that 2*o**2 + 68*o - 2014 = 0.
-53, 19
Suppose -a**4 + 95*a**3 - 267*a**2 - 823*a - 460 = 0. Calculate a.
-1, 5, 92
Solve 2*k**2/5 + 86*k/5 - 276/5 = 0 for k.
-46, 3
Suppose r**3/2 - 36*r**2 + 1127*r/2 + 600 = 0. Calculate r.
-1, 25, 48
Find k, given that 4*k**2 - 4424*k + 1223236 = 0.
553
Suppose -w**2/5 - 37*w/5 + 24 = 0. What is w?
-40, 3
Factor 4*i**3 + 4*i**2 - 8*i.
4*i*(i - 1)*(i + 2)
Factor -j**3/4 - 3*j**2 - 5*j/4 + 33/2.
-(j - 2)*(j + 3)*(j + 11)/4
Solve 2*z**2/3 + 98*z/9 + 104/3 = 0.
-12, -13/3
Find v, given that 3*v**5/7 - 18*v**4/7 + 30*v**3/7 - 33*v/7 + 18/7 = 0.
-1, 1, 2, 3
Let -2*u**4 + 8*u**3 - 10*u**2 + 4*u = 0. What is u?
0, 1, 2
Factor m**2/4 + 45*m/4 - 49.
(m - 4)*(m + 49)/4
Factor f**2/8 - 109*f/2 + 11881/2.
(f - 218)**2/8
Factor -4*j**5 + 8