n -z**5/7 - 4*z**4/7 + 92*z**3/7 + 494*z**2/7 - 13*z - 70 = 0?
-7, -1, 1, 10
Determine x, given that 3*x**5/2 - 11*x**4 + 29*x**3/2 + 27*x**2 - 16*x - 16 = 0.
-1, -2/3, 1, 4
Determine d, given that -2*d**4/11 - 4*d**3/11 + 4*d/11 + 2/11 = 0.
-1, 1
Factor 3*z**4/2 + 9*z**3/2 - 6*z**2.
3*z**2*(z - 1)*(z + 4)/2
Find k, given that -4*k**3/7 + 16*k**2/7 + 4*k - 40/7 = 0.
-2, 1, 5
Determine f so that -3*f**4/5 + 9*f**3 - 42*f**2/5 = 0.
0, 1, 14
Factor 2*z**3 - 2*z**2 - 4*z.
2*z*(z - 2)*(z + 1)
Factor -2*h**3/7 + 22*h**2.
-2*h**2*(h - 77)/7
What is u in -6*u**5/7 + 18*u**4 - 102*u**3/7 - 390*u**2/7 + 612*u/7 - 240/7 = 0?
-2, 1, 20
Let 16*g**5/5 - 136*g**4/5 + 217*g**3/5 + 27*g**2 + 18*g/5 = 0. Calculate g.
-1/4, 0, 3, 6
Suppose 5*g**3 + 1355*g**2 + 1340*g - 2700 = 0. What is g?
-270, -2, 1
Solve 5*l**3 - 155*l**2 + 720*l + 8100 = 0.
-5, 18
Factor -5*w**5 + 40*w**4 - 100*w**3 + 80*w**2.
-5*w**2*(w - 4)*(w - 2)**2
Factor -3*k**3 + 147*k**2 - 1332*k.
-3*k*(k - 37)*(k - 12)
Factor -2*k**4/3 - 8*k**3/3 - 8*k**2/3.
-2*k**2*(k + 2)**2/3
Factor -5*h**2 + 5820*h - 1693620.
-5*(h - 582)**2
Factor a**3/9 - 5*a**2/9 - a/9 + 5/9.
(a - 5)*(a - 1)*(a + 1)/9
Determine l, given that 2*l**3/9 + 106*l**2/9 - 448*l/9 + 152/3 = 0.
-57, 2
Factor 5*i**2 + 555*i - 2300.
5*(i - 4)*(i + 115)
Factor -4*f**3 - 7400*f**2.
-4*f**2*(f + 1850)
Let -2*c**3 + 92*c**2 - 1144*c + 1936 = 0. Calculate c.
2, 22
Factor -x**3/4 - 1253*x**2 - 10021*x/4 - 2505/2.
-(x + 1)**2*(x + 5010)/4
Determine j, given that -j**4 - 13*j**3 - 18*j**2 + 324*j + 1080 = 0.
-6, 5
Let y**3/2 + 15*y**2 + 225*y/2 + 250 = 0. What is y?
-20, -5
Suppose -345*q**2 - 760*q - 140 = 0. Calculate q.
-2, -14/69
Factor -u**5/6 + 14*u**4/3 - 53*u**3/2 - 198*u**2 + 1224*u + 4320.
-(u - 12)**3*(u + 3)*(u + 5)/6
Factor 3*t**2 - 411*t.
3*t*(t - 137)
Factor 2*f**5 + 8*f**4 - 10*f**3.
2*f**3*(f - 1)*(f + 5)
Let 2*a**3/5 - 74*a**2/5 + 168*a/5 + 1224/5 = 0. Calculate a.
-3, 6, 34
Determine x so that 2*x**3/7 - 8*x**2 + 24*x + 576/7 = 0.
-2, 6, 24
Find l such that -2*l**2 + 604*l + 1830 = 0.
-3, 305
Find r such that -4*r**3/3 - 8*r**2/3 + 4*r = 0.
-3, 0, 1
What is r in -2*r**4/5 + 6*r**3 - 76*r**2/5 + 48*r/5 = 0?
0, 1, 2, 12
Find w such that -w**2 + 46*w - 88 = 0.
2, 44
Let -3*k**3 + 576*k**2 - 28215*k + 54150 = 0. Calculate k.
2, 95
Determine o, given that o**2/3 + 1978*o/3 + 978121/3 = 0.
-989
Determine d, given that -27*d**5/4 - 747*d**4/4 + 1803*d**3/2 - 1101*d**2 + 102*d + 192 = 0.
-32, -1/3, 2/3, 2
Determine d so that -14*d**5/13 + 74*d**4/13 - 90*d**3/13 - 50*d**2/13 + 8*d - 24/13 = 0.
-1, 2/7, 1, 2, 3
Factor -r**3/5 + 86*r**2/5 - 331*r/5 + 246/5.
-(r - 82)*(r - 3)*(r - 1)/5
Find v, given that -5*v**4 - 207*v**3 - 2002*v**2 - 5988*v - 2088 = 0.
-29, -6, -2/5
Factor -1239*v**2/5 + 6*v/5.
-3*v*(413*v - 2)/5
Find o, given that 2*o**5 + 648*o**4/7 + 6918*o**3/7 - 13532*o**2/7 + 3648*o/7 + 2304/7 = 0.
-24, -2/7, 1
Find o, given that -2*o**3 - 6*o**2 + 480*o + 3400 = 0.
-10, 17
Factor -w**4/8 - 11*w**3/2 - 125*w**2/8 - 41*w/4.
-w*(w + 1)*(w + 2)*(w + 41)/8
Factor d**2/3 - 14*d/3 - 95/3.
(d - 19)*(d + 5)/3
Find d, given that 2*d**4 - 50*d**3/9 - 92*d**2/3 - 208*d/9 = 0.
-2, -1, 0, 52/9
What is x in -x**4/8 + 5*x**3/4 - 17*x**2/8 + x = 0?
0, 1, 8
Solve -4*y**5/7 + 66*y**4/7 - 26*y**3 - 78*y**2 + 1746*y/7 - 1080/7 = 0 for y.
-3, 1, 3/2, 5, 12
Find y, given that -2*y**5/7 - 36*y**4/7 - 198*y**3/7 - 324*y**2/7 = 0.
-9, -6, -3, 0
Factor 2*m**3/5 + 88*m**2/5 + 968*m/5.
2*m*(m + 22)**2/5
Let -5*q**3 + 10*q**2 + 195*q + 360 = 0. What is q?
-3, 8
Let s**4/8 - s**3/2 - s**2/2 + 2*s = 0. Calculate s.
-2, 0, 2, 4
Factor 2*p**3/9 - 8*p**2/9 - 82*p/9 - 8.
2*(p - 9)*(p + 1)*(p + 4)/9
Suppose 2*o**2/7 - 432*o/7 + 23328/7 = 0. Calculate o.
108
Solve -2*z**2 + 56*z/5 - 6 = 0.
3/5, 5
Solve -405*d**5/4 + 1197*d**4/2 - 753*d**3 - 90*d**2 + 24*d = 0.
-2/9, 0, 2/15, 2, 4
Factor 5*n**3 - 260*n**2 + 980*n - 960.
5*(n - 48)*(n - 2)**2
Find i, given that 5*i**4/2 - 835*i**3/2 - 15*i**2/2 + 2495*i/2 + 835 = 0.
-1, 2, 167
Let -14*m**4 - 288*m**3 - 1126*m**2 + 708*m + 720 = 0. What is m?
-15, -6, -4/7, 1
Let 25*o**5/6 - 10*o**4 + 7*o**3/2 - o**2/3 = 0. What is o?
0, 1/5, 2
Factor c**4 + 4*c**3 - 30*c**2 - 100*c + 125.
(c - 5)*(c - 1)*(c + 5)**2
Solve 3*m**3 + 18*m**2 + 27*m = 0 for m.
-3, 0
Find g such that -2*g**5 + 36*g**4 - 172*g**3 + 40*g**2 + 750*g + 500 = 0.
-1, 5, 10
Factor 2*m**2/7 - 66*m/7 - 1080/7.
2*(m - 45)*(m + 12)/7
Factor 2*v**5/5 - v**4/5.
v**4*(2*v - 1)/5
Determine o so that -2*o**5/5 - 184*o**4/5 + 378*o**3/5 + 184*o**2/5 - 376*o/5 = 0.
-94, -1, 0, 1, 2
Let -112*b**4/17 - 290*b**3/17 - 118*b**2/17 + 60*b/17 = 0. What is b?
-15/8, -1, 0, 2/7
Let -v**5/3 - 5*v**4/3 - 7*v**3/3 + v**2/3 + 8*v/3 + 4/3 = 0. Calculate v.
-2, -1, 1
Factor -q**4 - 685*q**3/4 - 171*q**2/4.
-q**2*(q + 171)*(4*q + 1)/4
Factor 3*b**3 + 9*b**2 - 72*b + 84.
3*(b - 2)**2*(b + 7)
Factor 2*s**2 - 18*s - 44.
2*(s - 11)*(s + 2)
Factor -2*f**2/15 + 16*f/15 - 14/15.
-2*(f - 7)*(f - 1)/15
Find o, given that -o**2 - 25*o + 306 = 0.
-34, 9
Solve 2*b**3 + 24*b**2 + 34*b - 60 = 0.
-10, -3, 1
Solve b**2/8 + 435*b/8 - 437/4 = 0.
-437, 2
Factor 3*q**3 - 729*q**2 + 1446*q.
3*q*(q - 241)*(q - 2)
Factor -o**4/3 + 16*o**3/3 - 29*o**2 + 60*o - 36.
-(o - 6)**2*(o - 3)*(o - 1)/3
Suppose 6*k**5/17 - 4*k**4/17 - 14*k**3/17 - 4*k**2/17 = 0. Calculate k.
-1, -1/3, 0, 2
Factor -2*y**3/3 - 6*y**2 - 4*y + 112/3.
-2*(y - 2)*(y + 4)*(y + 7)/3
Factor -3*s**3/2 + 75*s**2/2 - 525*s/2 + 1125/2.
-3*(s - 15)*(s - 5)**2/2
Suppose 3*l**4/7 - 9*l**3/7 - 54*l**2/7 = 0. Calculate l.
-3, 0, 6
Factor 9*y**2 - 111*y + 36.
3*(y - 12)*(3*y - 1)
Factor 2*m**3 - 4*m**2 - 38*m + 40.
2*(m - 5)*(m - 1)*(m + 4)
Solve 21*b**3/8 - 45*b**2/4 - 81*b/8 + 15/4 = 0 for b.
-1, 2/7, 5
Factor 52*t**2 - 548*t + 888.
4*(t - 2)*(13*t - 111)
Factor -5*s**3 + 1740*s**2 - 3465*s + 1730.
-5*(s - 346)*(s - 1)**2
Factor 2*s**3/7 + 116*s**2/7 - 240*s/7.
2*s*(s - 2)*(s + 60)/7
Find h, given that 28*h**2 + 124*h + 120 = 0.
-3, -10/7
What is a in 8*a**5/25 + 254*a**4/25 + 1984*a**3/25 - 512*a**2/25 = 0?
-16, 0, 1/4
Suppose 140*d**3/9 + 46*d**2/9 - 82*d/9 + 4/3 = 0. What is d?
-1, 6/35, 1/2
Solve -2*h**2 + 1288*h/3 + 430/3 = 0 for h.
-1/3, 215
Factor 5*q**5 + 2600*q**4 + 540800*q**3 + 56243200*q**2 + 2924646400*q + 60832645120.
5*(q + 104)**5
Factor -5*t**4 + 70*t**3 - 120*t**2.
-5*t**2*(t - 12)*(t - 2)
Find q such that -1620*q**3 + 4680*q**2 + 535*q + 15 = 0.
-1/18, 3
Let -4*g**2/3 + 36*g + 496/3 = 0. Calculate g.
-4, 31
Factor 3*j**3 - 87*j**2/2 + 165*j - 72.
3*(j - 8)*(j - 6)*(2*j - 1)/2
Factor -3*s**4 + 60*s**3 - 327*s**2 + 270*s.
-3*s*(s - 10)*(s - 9)*(s - 1)
Factor -k**4/8 - 39*k**3/8 + 41*k**2/8 + 39*k/8 - 5.
-(k - 1)**2*(k + 1)*(k + 40)/8
Factor -2*t**2 + 160*t - 3200.
-2*(t - 40)**2
Factor -m**3 + 99*m**2 + 304*m + 204.
-(m - 102)*(m + 1)*(m + 2)
Solve -r**5/4 - 9*r**4/4 - r**3/2 + 21*r**2 - 18*r = 0 for r.
-6, 0, 1, 2
Factor 5*q**3 - 60*q**2 + 105*q - 50.
5*(q - 10)*(q - 1)**2
Solve v**2/11 - 8*v/11 - 9/11 = 0 for v.
-1, 9
Factor -s**3/5 + 38*s**2/5 - 336*s/5.
-s*(s - 24)*(s - 14)/5
Factor -r**2 + 9610*r - 23088025.
-(r - 4805)**2
Let -3*b**5 + 168*b**4 - 2352*b**3 = 0. Calculate b.
0, 28
Factor -4*s**4 + 216*s**3 + 1668*s**2 + 2440*s.
-4*s*(s - 61)*(s + 2)*(s + 5)
Solve -4*x**3/5 - 12*x**2 - 224*x/5 - 48 = 0 for x.
-10, -3, -2
Factor 3*l**4/4 - 23*l**3/4 + 47*l**2/4 - 37*l/4 + 5/2.
(l - 5)*(l - 1)**2*(3*l - 2)/4
Factor f**3/2 + 495*f**2 + 163350*f + 17968500.
(f + 330)**3/2
Suppose a**4 + 3*a**3 - 6*a**2 - 28*a - 24 = 0. What is a?
-2, 3
Factor -9*j**3/2 - 38*j**2 - 95*j/2 - 14.
-(j + 1)*(j + 7)*(9*j + 4)/2
Let 3*t**5 - 15*t**4 + 6*t**3 + 42*t**2 - 9*t - 27 = 0. What is t?
-1, 1, 3
Let 4*f**3 - 1348*f**2 - 4*f + 1348 = 0. Calculate f.
-1, 1, 337
Suppose 60*x**5 + 411*x**4 - 549*x**3 + 30*x**2 + 48*x = 0. What is x?
-8, -1/4, 0, 2/5, 1
What is t in t**2/3 - 101*t/3 - 206/3 = 0?
-2, 103
Factor -5*z**2/2 + 8965*z - 16074245/2.
-5*(z - 1793)**2/2
Find k, given that k**2 + 648*k + 104976 = 0.
-324
Let -3*w**4/2 + 144*w**3 - 4608*w**2 + 49152*w = 0. Calculate w.
0, 32
Factor -m**4/4 - 343*m**3/2 - 29583*m**2 - 58482*m.
-m*(m + 2)*(m + 342)**2/4
Let -u**5/5 + 71*u**4/5 - 1223*u**3/5 - 1367*u**2/5 + 1224*u/5 + 1296/5 = 0. Calculate u.
-1, 1, 3