*s**3 + 70*s**2 + 80*s - 75.
5*(s - 15)*(s - 1)**2*(s + 1)
Find l such that 4*l**3 - 4632*l**2 + 1787952*l - 230049824 = 0.
386
Factor 2*a**4 + 16*a**3 + 10*a**2 - 28*a.
2*a*(a - 1)*(a + 2)*(a + 7)
Find a, given that -2*a**5/9 + 16*a**3/9 + 4*a**2/3 - 14*a/9 - 4/3 = 0.
-2, -1, 1, 3
Determine i so that -3*i**5/2 + 69*i**4/2 + 3*i**3 - 69*i**2 - 3*i/2 + 69/2 = 0.
-1, 1, 23
Let -5*p**2 + 2060*p - 212180 = 0. Calculate p.
206
Factor 5*p**5 + 80*p**4 + 385*p**3 + 490*p**2.
5*p**2*(p + 2)*(p + 7)**2
Factor 2*q**2/13 - 54*q/13.
2*q*(q - 27)/13
Let -2*m**2 - 104*m - 902 = 0. What is m?
-41, -11
Factor -4*a**2 - 12*a + 72.
-4*(a - 3)*(a + 6)
Solve n**3 - 62*n**2 + 121*n - 60 = 0 for n.
1, 60
Suppose -2*f**3 + 1624*f**2 - 329672*f = 0. Calculate f.
0, 406
Find m such that m**4 + 21*m**3 + 98*m**2 = 0.
-14, -7, 0
Find c such that c**3/2 - 75*c**2/8 + 189*c/4 - 243/8 = 0.
3/4, 9
Let 2*h**3/17 + 138*h**2/17 + 174*h + 18502/17 = 0. Calculate h.
-29, -11
Solve 16*g**3 + 940*g**2 + 692*g - 232 = 0 for g.
-58, -1, 1/4
Let -2*h**3/15 + 4*h**2/5 + 74*h/15 + 4 = 0. Calculate h.
-3, -1, 10
Find h such that 162*h**5/5 + 4788*h**4/5 - 12358*h**3/5 + 1992*h**2 - 2808*h/5 + 256/5 = 0.
-32, 2/9, 1
Let -13*n**5/5 + 23*n**4/5 + 162*n**3/5 - 198*n**2/5 - 81*n - 81/5 = 0. Calculate n.
-3, -1, -3/13, 3
Solve -20*w**3 + 105*w**2 + 3495*w - 880 = 0 for w.
-11, 1/4, 16
Solve 2*n**5 + 30*n**4 + 52*n**3 - 4*n**2 - 54*n - 26 = 0 for n.
-13, -1, 1
Solve 2*n**3 - 8*n**2 - 74*n + 80 = 0 for n.
-5, 1, 8
Factor 2*j**5 - 6*j**4 - 6*j**3 + 22*j**2 - 12*j.
2*j*(j - 3)*(j - 1)**2*(j + 2)
Factor -4*u**4/7 - 332*u**3/7 - 396*u**2 - 8100*u/7 - 7992/7.
-4*(u + 3)**3*(u + 74)/7
Factor -738*k**3 - 1497*k**2 - 780*k - 21.
-3*(k + 1)**2*(246*k + 7)
What is u in 14*u**5/3 - 34*u**4 + 280*u**3/3 - 352*u**2/3 + 64*u - 32/3 = 0?
2/7, 1, 2
Factor -3*t**4 - 36*t**3 - 81*t**2 + 12*t + 108.
-3*(t - 1)*(t + 2)**2*(t + 9)
Let -4*n**3 - 52*n**2 - 204*n - 252 = 0. Calculate n.
-7, -3
Factor 3*j**2 + 624*j - 627.
3*(j - 1)*(j + 209)
What is k in k**2/4 - 133*k + 17689 = 0?
266
Factor 24*a**3 + 30*a**2 + 75*a/8.
3*a*(8*a + 5)**2/8
Factor -4*r**3 - 64*r**2.
-4*r**2*(r + 16)
Let -2*g**4 - 390*g**3 + 1182*g**2 - 1186*g + 396 = 0. What is g?
-198, 1
Determine d so that -4*d**2 + 438*d - 218 = 0.
1/2, 109
Solve -4*t**2 - 24*t - 20 = 0.
-5, -1
What is g in 5*g**4 + 45*g**3 - 330*g**2 + 280*g = 0?
-14, 0, 1, 4
Determine s, given that 2*s**3/15 - 28*s**2/5 + 64*s - 320/3 = 0.
2, 20
Factor -4*r**4 + 124*r**3 - 344*r**2 + 224*r.
-4*r*(r - 28)*(r - 2)*(r - 1)
Let -2*s**5/5 + 68*s**4/5 - 896*s**3/5 + 5632*s**2/5 - 16384*s/5 + 16384/5 = 0. Calculate s.
2, 8
Suppose 2*c**2/5 - 112*c + 558/5 = 0. Calculate c.
1, 279
Factor s**3 + 3*s**2 - 10*s.
s*(s - 2)*(s + 5)
Find o, given that -17*o**2 + 869*o - 102 = 0.
2/17, 51
Determine l so that 17*l**3/5 - 16*l**2/5 - 103*l/5 - 6/5 = 0.
-2, -1/17, 3
Factor -6*a**3 - 23*a**2 + 34*a - 5.
-(a - 1)*(a + 5)*(6*a - 1)
Suppose y**4/6 - y**3/2 - 3*y**2 + 20*y/3 = 0. Calculate y.
-4, 0, 2, 5
Determine f so that 90*f**5 + 3*f**4 - 90*f**3 - 3*f**2 = 0.
-1, -1/30, 0, 1
Let 3*y**4/5 + 3*y**3 - 198*y**2/5 = 0. What is y?
-11, 0, 6
Find s such that 45*s**3 - 510*s**2 + 620*s - 200 = 0.
2/3, 10
Suppose -i**4 - 37*i**3 + 203*i**2 - 291*i + 126 = 0. Calculate i.
-42, 1, 3
Suppose -6*j**5/5 - 3*j**4 + 72*j**3/5 - 21*j**2/5 - 6*j = 0. Calculate j.
-5, -1/2, 0, 1, 2
Solve -m**3 + 95*m**2 + 496*m + 400 = 0.
-4, -1, 100
Solve -i**4 - 5*i**3 - 2*i**2 + 8*i = 0.
-4, -2, 0, 1
Factor -3*m**2/5 + 48*m/5 - 84/5.
-3*(m - 14)*(m - 2)/5
Factor n**2/6 + n/3.
n*(n + 2)/6
Determine o so that 2*o**2 + 8*o = 0.
-4, 0
Factor -3*i**3 - 3*i**2 + 27*i + 27.
-3*(i - 3)*(i + 1)*(i + 3)
Factor -4*k**4 - 8*k**3 + 196*k**2 + 392*k.
-4*k*(k - 7)*(k + 2)*(k + 7)
Factor 4*g**3/9 - 4*g**2/9 - 16*g/3.
4*g*(g - 4)*(g + 3)/9
Let 4*p**5 + 56*p**4 - 596*p**3 - 4600*p**2 - 9776*p - 6688 = 0. What is p?
-19, -2, 11
Factor -46*g**3/9 + 8*g**2/9 + 154*g/9 + 100/9.
-2*(g + 1)**2*(23*g - 50)/9
Suppose c**5 + 117*c**4 - 1010*c**3 - 1242*c**2 + 1009*c + 1125 = 0. Calculate c.
-125, -1, 1, 9
Determine h so that 3*h**4 + 402*h**3 - 813*h**2 + 408*h = 0.
-136, 0, 1
Find k such that -5*k**5 + 5*k**4 + 165*k**3 - 125*k**2 - 1240*k + 1200 = 0.
-4, 1, 3, 5
Suppose -2*k**4/13 + 48*k**3/13 - 330*k**2/13 + 308*k/13 + 2352/13 = 0. What is k?
-2, 7, 12
Suppose -4*n**2 - 308*n - 888 = 0. Calculate n.
-74, -3
Let -3*l**3/8 - 147*l**2/4 + 1845*l/8 - 351 = 0. What is l?
-104, 3
Let 2*c**2 + 2048*c + 524288 = 0. What is c?
-512
Suppose -3*f**4/5 + 57*f**3/5 - 279*f**2/5 - 81*f/5 + 1458/5 = 0. What is f?
-2, 3, 9
Factor -v**3/4 + 627*v**2/4 + 1257*v/4 + 629/4.
-(v - 629)*(v + 1)**2/4
Find r, given that 12*r**4/13 + 58*r**3/13 + 62*r**2/13 - 12*r/13 = 0.
-3, -2, 0, 1/6
Solve -1100*g**3 - 16*g**2 + 1100*g + 16 = 0 for g.
-1, -4/275, 1
Factor -320*u**3 + 141360*u**2 - 20815260*u + 1021682345.
-5*(4*u - 589)**3
Suppose -2*l**2/9 - 6*l - 16 = 0. What is l?
-24, -3
Determine a so that -3*a**3/2 + 72*a**2 - 2079*a/2 + 3969 = 0.
6, 21
Factor 2*l**2 + 1056*l + 139392.
2*(l + 264)**2
Suppose -4*y**3/5 + 37*y**2/5 - 41*y/5 + 8/5 = 0. Calculate y.
1/4, 1, 8
Factor -3*u**3 - 114*u**2 - 987*u + 1104.
-3*(u - 1)*(u + 16)*(u + 23)
What is m in m**2 + 41*m = 0?
-41, 0
What is p in -3*p**4/4 + 45*p**3/4 - 15*p**2/2 - 45*p + 42 = 0?
-2, 1, 2, 14
Find a such that 2*a**3/7 - 94*a**2/7 + 648*a/7 - 936/7 = 0.
2, 6, 39
Suppose 5*v**4 + 130*v**3 - 435*v**2 = 0. What is v?
-29, 0, 3
Find f such that -3*f**5 + 57*f**3 + 18*f**2 - 216*f = 0.
-3, 0, 2, 4
Factor -7*v**4 - 5*v**3 + 9*v**2 + 5*v - 2.
-(v - 1)*(v + 1)**2*(7*v - 2)
Determine n so that -n**2/3 + 6115*n/3 = 0.
0, 6115
Determine h, given that -2*h**3/3 - 1346*h**2 - 905858*h - 609642434/3 = 0.
-673
Suppose 160*p**5 - 44*p**4 - 2708*p**3 + 6520*p**2 - 4976*p + 1120 = 0. What is p?
-5, 2/5, 7/8, 2
Determine j, given that j**2 - 2225*j - 2226 = 0.
-1, 2226
Factor 2*v**5/7 + 734*v**4/7 + 68438*v**3/7 + 200930*v**2/7 + 28496*v + 9464.
2*(v + 1)**3*(v + 182)**2/7
Find z, given that z**2/7 - 20*z/7 + 19/7 = 0.
1, 19
Let b**3 - 3*b**2 - 64*b - 60 = 0. Calculate b.
-6, -1, 10
Determine q so that -24*q**5 - 54*q**4 - 21*q**3 + 9*q**2 = 0.
-3/2, -1, 0, 1/4
Factor 15*v**2 - 170*v - 120.
5*(v - 12)*(3*v + 2)
Factor -4*g**3 - 12*g**2 - 12*g - 4.
-4*(g + 1)**3
Factor -5*a**2 + 10*a + 40.
-5*(a - 4)*(a + 2)
Solve 15*l**4 + 3*l**3 - 15*l**2 - 3*l = 0 for l.
-1, -1/5, 0, 1
Factor 8*n**2/3 + 42*n + 30.
2*(n + 15)*(4*n + 3)/3
Solve j**3 + 82*j**2 = 0 for j.
-82, 0
Suppose -v**4 - 22*v**3 - 21*v**2 = 0. Calculate v.
-21, -1, 0
Factor 3*w**3/7 + 261*w**2/7 - 2592*w/7.
3*w*(w - 9)*(w + 96)/7
What is b in -5*b**4/3 + 55*b**3 - 620*b**2 + 7700*b/3 - 2000 = 0?
1, 10, 12
Determine i so that -2*i**3 + 324*i**2 - 13440*i + 25600 = 0.
2, 80
Let -f**2/3 - 1177*f/3 - 392 = 0. What is f?
-1176, -1
Factor 2*q**2 - 248*q + 7688.
2*(q - 62)**2
Suppose -4*f**3 + 84*f**2 + 88*f = 0. Calculate f.
-1, 0, 22
Determine l so that 2*l**3/15 - 8*l**2/3 + 64*l/5 = 0.
0, 8, 12
Solve 5*d**3 + 25*d**2 + 40*d + 20 = 0 for d.
-2, -1
Factor -3*z**4/4 + 21*z**3/4 + 63*z**2/4 - 81*z/4.
-3*z*(z - 9)*(z - 1)*(z + 3)/4
Find a such that -14*a**3 - 522*a**2 + 384*a + 152 = 0.
-38, -2/7, 1
Factor -3*k**2 - 39*k + 42.
-3*(k - 1)*(k + 14)
Factor -5*r**5 + 170*r**4 - 1600*r**3 + 2560*r**2.
-5*r**2*(r - 16)**2*(r - 2)
Suppose -5*b**2 + 270*b - 265 = 0. What is b?
1, 53
Determine w so that -7*w**4 - 41*w**3/4 + 7*w**2 - w = 0.
-2, 0, 1/4, 2/7
Let 5*f**2 + 35*f + 30 = 0. Calculate f.
-6, -1
What is w in -10*w**3/7 - 6*w**2/7 + 24*w/7 - 8/7 = 0?
-2, 2/5, 1
Find k, given that -11*k**5/6 + 122*k**4/3 + 374*k**3/3 + 335*k**2/3 + 127*k/6 - 25/3 = 0.
-1, 2/11, 25
Factor 4*p**3 + 12*p**2 - 112*p.
4*p*(p - 4)*(p + 7)
Factor 13*l**4 - 51*l**3/2 - l**2.
l**2*(l - 2)*(26*l + 1)/2
Solve -10*d**4 - 55*d**3 + 210*d**2 + 55*d - 200 = 0 for d.
-8, -1, 1, 5/2
Suppose 3*o**3/7 - 3216*o**2/7 - 6441*o/7 - 3222/7 = 0. What is o?
-1, 1074
Factor 5*d**3 + 190*d**2 - 4000*d + 17280.
5*(d - 8)**2*(d + 54)
Suppose g**5/8 - 5*g**4/8 - 17*g**3/8 + 13*g**2/8 + 13*g/2 + 7/2 = 0. Calculate g.
-2, -1, 2, 7
Suppose -4*p**3 - 60*p**2 - 216*p - 160 = 0. What is p?
-10, -4, -1
Determine r so that -r**3/4 + 5*r**2/2 - 7*r/4 - 