564 = 0. What is a?
-121
Find p such that -5*p**5 + 35*p**4 - 90*p**3 + 100*p**2 - 40*p = 0.
0, 1, 2
Determine g so that -2*g**2 + 42*g - 76 = 0.
2, 19
Factor -5*h**4 + 135*h**3 - 775*h**2 + 1545*h - 900.
-5*(h - 20)*(h - 3)**2*(h - 1)
Solve -4*a**4/3 - 160*a**3/3 - 532*a**2 + 160*a/3 + 1600/3 = 0 for a.
-20, -1, 1
Let 4*p**2 - 28*p + 24 = 0. Calculate p.
1, 6
Suppose 5*w**2/2 + 175*w/2 + 310 = 0. What is w?
-31, -4
Factor -3*m**3 + 27*m**2 + 120*m - 144.
-3*(m - 12)*(m - 1)*(m + 4)
Factor -3*i**3 - 18*i**2 - 27*i.
-3*i*(i + 3)**2
Solve 5*j**3 - 725*j**2 + 5480*j = 0 for j.
0, 8, 137
Find w such that -2*w**2/7 + 328*w/7 - 138 = 0.
3, 161
Factor 7*k**3/5 + 117*k**2/5 + 78*k/5 - 32/5.
(k + 1)*(k + 16)*(7*k - 2)/5
What is k in k**5 - 34*k**4 - 71*k**3 - 36*k**2 = 0?
-1, 0, 36
Suppose j**2 + 682*j = 0. What is j?
-682, 0
Determine g, given that -g**3/5 - 3078*g**2/5 - 6153*g/5 - 3076/5 = 0.
-3076, -1
Factor 2*g**5/9 - 4*g**4/3 - 8*g**3 - 80*g**2/9.
2*g**2*(g - 10)*(g + 2)**2/9
Solve i**4/4 - 7*i**3/2 + 13*i**2 - 33*i/2 + 27/4 = 0.
1, 3, 9
Determine t so that -3*t**5 - 6*t**4 + 15*t**3 + 30*t**2 - 12*t - 24 = 0.
-2, -1, 1, 2
Solve -4*v**3 - 8*v**2 + 4*v + 8 = 0 for v.
-2, -1, 1
Suppose -147*z**4 + 2289*z**3 - 5094*z**2 + 2364*z - 312 = 0. What is z?
2/7, 2, 13
Factor -2*m**3/7 + 24*m**2/7 + 54*m/7 + 4.
-2*(m - 14)*(m + 1)**2/7
Suppose o**2/5 + 23*o/5 - 136 = 0. What is o?
-40, 17
Factor m**3 - m**2 - 2*m.
m*(m - 2)*(m + 1)
What is y in 9*y**4/4 - 165*y**3/4 - 293*y**2/4 - 139*y/4 - 5 = 0?
-1, -1/3, 20
Factor -2*o**4/9 - 1184*o**3/9 - 87616*o**2/3 - 25934336*o/9 - 959570432/9.
-2*(o + 148)**4/9
Solve 3*r**2/7 + 1548*r/7 - 1551/7 = 0 for r.
-517, 1
Factor -2*c**2/5 + 16*c/5.
-2*c*(c - 8)/5
Factor 18*l**5 + 39*l**4 + 24*l**3 + 3*l**2.
3*l**2*(l + 1)**2*(6*l + 1)
Factor -3*p**3/2 + 33*p**2/2 - 15*p.
-3*p*(p - 10)*(p - 1)/2
Let -3*c**2/5 - 456*c/5 - 17328/5 = 0. Calculate c.
-76
Determine m so that 2*m**2/3 + 62*m + 3124/3 = 0.
-71, -22
Solve r**5/2 + 25*r**4/2 + 151*r**3/2 + 251*r**2/2 - 44*r - 170 = 0 for r.
-17, -5, -2, 1
Factor -252*y**4 + 1504*y**3 - 2220*y**2 - 72*y.
-4*y*(y - 3)**2*(63*y + 2)
Let 2*j**2/5 + 196*j/5 + 194/5 = 0. Calculate j.
-97, -1
Solve -4*b**5/7 + 48*b**4/7 - 24*b**3 + 208*b**2/7 - 12*b = 0 for b.
0, 1, 3, 7
Factor 5*g**3 - 165*g**2 + 1080*g + 4860.
5*(g - 18)**2*(g + 3)
Find r, given that -9*r**3 + 285*r**2 + 383*r/4 + 8 = 0.
-1/6, 32
Let 4*t**5/5 - 22*t**4/5 + 46*t**2/5 + 4*t = 0. What is t?
-1, -1/2, 0, 2, 5
Let 15*i**3 + 17*i**2 - 88*i - 12 = 0. What is i?
-3, -2/15, 2
Factor -2*o**2/5 + 1102*o/5.
-2*o*(o - 551)/5
What is t in -5*t**5/3 + 25*t**4/3 + 25*t**3/3 - 75*t**2 + 180 = 0?
-2, 3
Suppose -68*p**4 - 64*p**3 + 140*p**2 - 8*p = 0. Calculate p.
-2, 0, 1/17, 1
Factor 3*d**2 - 360*d + 357.
3*(d - 119)*(d - 1)
Find y, given that 2*y**5 + 22*y**4 + 72*y**3 + 64*y**2 - 64*y - 96 = 0.
-6, -2, 1
Factor -v**2/8 - 167*v.
-v*(v + 1336)/8
Let 4*r**5 + 20*r**4 - 1212*r**3 - 52*r**2 + 3640*r - 2400 = 0. What is r?
-20, -2, 1, 15
Determine r so that 2*r**3 - 298*r**2 - 620*r + 2416 = 0.
-4, 2, 151
Suppose 2*p**3 + 21*p**2 + 49*p - 30 = 0. Calculate p.
-6, -5, 1/2
Factor -5*h**2/4 - 25*h + 720.
-5*(h - 16)*(h + 36)/4
Let -v**3/2 + 5*v**2/2 = 0. Calculate v.
0, 5
Suppose 2*b**4/11 + 2*b**3 - 26*b**2/11 - 2*b + 24/11 = 0. What is b?
-12, -1, 1
Factor -m**5 + 3*m**4 - 3*m**3 + m**2.
-m**2*(m - 1)**3
Solve -3*p**2 - 9*p = 0.
-3, 0
Solve -2*g**5/9 + 8*g**4/9 + 2*g**3/3 - 44*g**2/9 + 8*g/9 + 16/3 = 0 for g.
-2, -1, 2, 3
Factor 125*y**3 + 49175*y**2 + 19655*y + 1965.
5*(y + 393)*(5*y + 1)**2
What is h in -4*h**3 - 48*h**2 - 68*h + 360 = 0?
-9, -5, 2
Find a, given that a**5/4 - 3*a**4 + 13*a**3/2 + 3*a**2 - 27*a/4 = 0.
-1, 0, 1, 3, 9
Factor -h**2 + 26*h + 87.
-(h - 29)*(h + 3)
Find h such that -2*h**5/11 - 32*h**4/11 - 188*h**3/11 - 488*h**2/11 - 530*h/11 - 200/11 = 0.
-5, -4, -1
Factor -3*u**4 + 132*u**3 - 1296*u**2 + 4800*u - 6144.
-3*(u - 32)*(u - 4)**3
Find h such that -2*h**5/13 + 10*h**4/13 + 34*h**3/13 - 2*h**2 - 8*h - 56/13 = 0.
-2, -1, 2, 7
Factor -i**5/8 + 5*i**4/8 + 27*i**3/4 + 61*i**2/4 + 107*i/8 + 33/8.
-(i - 11)*(i + 1)**3*(i + 3)/8
Let s**2/6 - 20*s/3 - 41/6 = 0. Calculate s.
-1, 41
Solve 3*p**3/5 + 48*p**2/5 + 177*p/5 + 132/5 = 0.
-11, -4, -1
Determine m, given that -2*m**3/9 + 8*m**2/9 + 32*m/9 - 128/9 = 0.
-4, 4
Determine z, given that -4*z**5/7 - 68*z**4/7 - 276*z**3/7 - 460*z**2/7 - 344*z/7 - 96/7 = 0.
-12, -2, -1
Let 5*f**5/2 + 35*f**4/6 - 5*f**3 - 10*f**2 + 20*f/3 = 0. What is f?
-2, 0, 2/3, 1
Factor -4*v**3 + 1340*v**2 + 16*v - 5360.
-4*(v - 335)*(v - 2)*(v + 2)
Factor -3*j**3 - 21*j**2 - 36*j.
-3*j*(j + 3)*(j + 4)
Factor -4*q**4/3 + 164*q**3/3 - 736*q**2 + 3264*q.
-4*q*(q - 17)*(q - 12)**2/3
Suppose -5*g**2 - 5*g + 100 = 0. What is g?
-5, 4
Find n, given that -2*n**2/9 - 56*n/3 - 328/9 = 0.
-82, -2
Factor -4*a**3 - 36*a**2 - 44*a + 84.
-4*(a - 1)*(a + 3)*(a + 7)
Factor 5*z**3 - 35*z**2 - 2720*z + 32000.
5*(z - 16)**2*(z + 25)
Factor 4*n**3/3 + 212*n**2/3 + 208*n/3.
4*n*(n + 1)*(n + 52)/3
Factor -i**2/3 - 10*i/3 - 3.
-(i + 1)*(i + 9)/3
Factor -5*t**3 + 15*t**2 + 45*t + 25.
-5*(t - 5)*(t + 1)**2
Factor 2*r**4 - 18*r**3 + 36*r**2 + 8*r - 48.
2*(r - 6)*(r - 2)**2*(r + 1)
Factor -2*t**3/3 - 10*t**2/3 + 22*t - 18.
-2*(t - 3)*(t - 1)*(t + 9)/3
Factor -5*i**3 + 135*i**2 - 900*i.
-5*i*(i - 15)*(i - 12)
Solve 10*m**3 - 106*m**2 + 236*m + 112 = 0 for m.
-2/5, 4, 7
Factor -194*q**3/3 + 128*q**2 - 62*q - 4/3.
-2*(q - 1)**2*(97*q + 2)/3
Find r, given that 123*r**3 + 60*r**2 - 309*r + 126 = 0.
-2, 21/41, 1
Let -5*a**3 - 10*a**2 = 0. What is a?
-2, 0
Factor 4*j**2 + 20120*j + 25300900.
4*(j + 2515)**2
Suppose 4*r**4 + 32*r**3 - 452*r**2 - 480*r = 0. Calculate r.
-15, -1, 0, 8
Factor -51076*t**2 + 34352*t - 5776.
-4*(113*t - 38)**2
Solve -5*a**4 + 10*a**3 + 35*a**2 - 40*a - 60 = 0.
-2, -1, 2, 3
Factor d**4/4 - d**3/4 - 2*d**2 + 3*d.
d*(d - 2)**2*(d + 3)/4
Suppose -3*n**5/8 + 679*n**4/4 - 76385*n**3/4 - 25821*n**2 + 50621*n/8 + 51529/4 = 0. What is n?
-1, 2/3, 227
Factor -155*y**3 + 1230*y**2 - 2400*y - 160.
-5*(y - 4)**2*(31*y + 2)
Let -8*b**5 + 16*b**4 + 486*b**3 + 1442*b**2 + 980*b = 0. Calculate b.
-7/2, -1, 0, 10
Factor -2*c**2/5 - 2*c + 28/5.
-2*(c - 2)*(c + 7)/5
Let -x**4/6 + x**3/6 + 23*x**2/3 + 40*x/3 = 0. Calculate x.
-5, -2, 0, 8
Solve 26*q**4/9 + 34*q**3/3 + 122*q**2/9 + 14*q/3 - 4/9 = 0 for q.
-2, -1, 1/13
Factor s**2 + 13*s + 12.
(s + 1)*(s + 12)
Let -15*f**4 + 25*f**3 + 115*f**2 + 95*f + 20 = 0. Calculate f.
-1, -1/3, 4
Solve -d**3/6 - 77*d**2/6 - 196*d + 2058 = 0.
-42, 7
Determine k so that -33*k**5 + 309*k**4 - 339*k**3 - 213*k**2 + 372*k - 96 = 0.
-1, 4/11, 1, 8
Suppose -4*s**5 + 182*s**4 + 490*s**3 - 470*s**2 - 486*s + 288 = 0. What is s?
-3, -1, 1/2, 1, 48
Factor -3*n**4/2 + 759*n**3/2 + 2313*n**2 + 4650*n + 3108.
-3*(n - 259)*(n + 2)**3/2
Determine c, given that -4*c**4 + 972*c**3 - 57564*c**2 - 181548*c = 0.
-3, 0, 123
Find m such that -8*m**5/3 - 22*m**4/3 + 14*m**3/3 + 22*m**2/3 - 2*m = 0.
-3, -1, 0, 1/4, 1
Find r, given that 2*r**2/11 + 26*r/11 + 80/11 = 0.
-8, -5
Let -8*n**3 - 28*n**2 + 68*n + 40 = 0. What is n?
-5, -1/2, 2
Suppose -4*i**4 - 12*i**3 + 180*i**2 - 308*i + 144 = 0. Calculate i.
-9, 1, 4
Determine a so that -a**3/7 - 4*a**2/7 - 4*a/7 = 0.
-2, 0
Let 12*x**4 - 8*x**3 - 12*x**2 + 8*x = 0. Calculate x.
-1, 0, 2/3, 1
Factor -48*j**2 + 9*j.
-3*j*(16*j - 3)
Find q such that -q**5 - 7*q**4 + 18*q**3 = 0.
-9, 0, 2
Find s, given that -5*s**3 + 45*s**2 + 125*s - 165 = 0.
-3, 1, 11
Let -5*r**4 - 35*r**3 - 85*r**2 - 85*r - 30 = 0. Calculate r.
-3, -2, -1
Determine t so that 3*t**3 - 42*t**2 - 93*t - 48 = 0.
-1, 16
Factor -v**3/2 - 8*v**2 + v/2 + 8.
-(v - 1)*(v + 1)*(v + 16)/2
Find f, given that 5*f**3/2 + 75*f**2/2 - 5*f/2 - 75/2 = 0.
-15, -1, 1
What is n in 5*n**2 - 6350*n - 6355 = 0?
-1, 1271
Factor 5*h**2 - 245*h + 900.
5*(h - 45)*(h - 4)
Determine n, given that -n**5 + 182*n**4 - 180*n**3 - 182*n**2 + 181*n = 0.
-1, 0, 1, 181
Solve 51*x**2 + 2952*x - 348 = 0 for x.
-58, 2/17
Find h, given that 20*h**4 - 208*h**3 + 400*h**2 - 128*h = 0.
0, 2/5, 2, 8
Let h**5/5 - 189*h**4/5 + 14259*h**3/5 - 107359*h**2 + 2016840*h - 15126300 = 0. Calculate h.
35, 42
Suppose 3*t**5/5 - 243*t**4/5 + 1359*t**3/5 - 129*t**2 -