 + 1)*(p + 9)/4
Let l**2/2 - 14*l + 195/2 = 0. Calculate l.
13, 15
Determine h so that -h**2/12 - 31*h/12 + 11/2 = 0.
-33, 2
Factor -2*y**4/9 + 2*y**2/3 + 4*y/9.
-2*y*(y - 2)*(y + 1)**2/9
Factor -3*a**5 - 81*a**4 + 171*a**3 - 87*a**2.
-3*a**2*(a - 1)**2*(a + 29)
Let 2*a**5 - 2*a**3 = 0. What is a?
-1, 0, 1
Let -4*y**5 - 184*y**4 - 996*y**3 + 25760*y**2 - 78400*y = 0. Calculate y.
-28, 0, 5
Solve -22*f**4 - 576*f**3 + 2470*f**2 - 1512*f - 360 = 0.
-30, -2/11, 1, 3
Let -12*t**4 - 231*t**3 - 45*t**2 + 231*t + 57 = 0. What is t?
-19, -1, -1/4, 1
Let d**3/3 - 2*d**2/3 - d/3 + 2/3 = 0. What is d?
-1, 1, 2
Factor w**2 - 666*w + 110889.
(w - 333)**2
Factor -3*h**3/8 + 57*h**2/4 - 120*h - 300.
-3*(h - 20)**2*(h + 2)/8
Determine i, given that -2*i**5/19 + 16*i**4/19 + 18*i**3/19 = 0.
-1, 0, 9
Factor 8*s**2 + 42*s/5 + 2/5.
2*(s + 1)*(20*s + 1)/5
Factor 2*t**4/7 + 18*t**3/7 + 8*t**2 + 72*t/7 + 32/7.
2*(t + 1)*(t + 2)**2*(t + 4)/7
Determine w so that -10*w**5/9 - 14*w**4/9 + 122*w**3/3 + 1358*w**2/9 + 1324*w/9 + 112/3 = 0.
-4, -3, -1, -2/5, 7
Let 19*b**5 + 154*b**4 + 149*b**3 + 14*b**2 = 0. What is b?
-7, -1, -2/19, 0
Factor -3*v**2 - 978*v - 975.
-3*(v + 1)*(v + 325)
Factor 3*x**5/2 - 15*x**4/2 + 9*x**3/2 + 27*x**2/2.
3*x**2*(x - 3)**2*(x + 1)/2
What is q in -q**3/3 + 437*q**2/3 - 47960*q/3 + 47524/3 = 0?
1, 218
Factor 4*s**3 - 144*s.
4*s*(s - 6)*(s + 6)
Factor -x**3/3 - 230*x**2/9 + 2525*x/9 - 6500/9.
-(x - 5)**2*(3*x + 260)/9
Let 15*d**4 + 1936*d**3 - 1848*d**2 - 3648*d - 1040 = 0. What is d?
-130, -2/3, -2/5, 2
Determine l, given that -5*l**3 - 165*l**2 - 1330*l = 0.
-19, -14, 0
Factor 4*k**4 - 104*k**3 - 220*k**2 - 112*k.
4*k*(k - 28)*(k + 1)**2
Factor i**5 + 17*i**4 + 80*i**3 + 64*i**2.
i**2*(i + 1)*(i + 8)**2
Suppose -3*t**3/4 + 105*t**2/4 - 969*t/4 + 867/4 = 0. Calculate t.
1, 17
Factor -x**2/3 + 10*x/3 + 8.
-(x - 12)*(x + 2)/3
Solve -2*a**5/3 + 64*a**4/3 - 730*a**3/3 + 3164*a**2/3 - 192*a - 6912 = 0.
-2, 8, 9
Find d such that 7*d**2/4 - 15*d/4 - 9/2 = 0.
-6/7, 3
Factor -3*j**2/4 - 9*j/4 + 3.
-3*(j - 1)*(j + 4)/4
Factor 2*j**4/11 - 4*j**2/11 + 2/11.
2*(j - 1)**2*(j + 1)**2/11
Determine j, given that -j**2 + 1591*j = 0.
0, 1591
Factor 6*q**2/7 + 198*q/7.
6*q*(q + 33)/7
Factor -2*a**4/7 + 18*a**3/7 - 30*a**2/7 - 50*a/7.
-2*a*(a - 5)**2*(a + 1)/7
Factor -v**3/11 - 24*v**2/11 + 256*v/11.
-v*(v - 8)*(v + 32)/11
Find g such that -2*g**2/13 + 3400*g/13 + 6808/13 = 0.
-2, 1702
Factor 5*b**3 + 265*b**2 + 1660*b + 2300.
5*(b + 2)*(b + 5)*(b + 46)
Solve -4*p**4 - 36*p**3 - 28*p**2 + 36*p + 32 = 0 for p.
-8, -1, 1
Factor 5*m**2 + 545*m.
5*m*(m + 109)
Factor -2*o**2/3 + 202*o - 604/3.
-2*(o - 302)*(o - 1)/3
Let 12*n**4 + 81*n**3 - 21*n**2 = 0. What is n?
-7, 0, 1/4
Let -4*x**5/3 + 136*x**4/3 + 52*x**3 - 544*x**2/3 - 560*x/3 = 0. What is x?
-2, -1, 0, 2, 35
Factor -14*l**2/3 - 4*l + 2/3.
-2*(l + 1)*(7*l - 1)/3
Let -u**2/4 - 4*u + 225/4 = 0. Calculate u.
-25, 9
What is m in -10*m**5 + 235*m**4 - 1295*m**3 - 1330*m**2 + 3840*m - 1440 = 0?
-2, 1/2, 1, 12
Factor -2*h**3/3 + 1950*h**2 + 5852*h/3.
-2*h*(h - 2926)*(h + 1)/3
Factor p**3/3 + 88*p**2/3 + 29*p.
p*(p + 1)*(p + 87)/3
Solve -2*z**4 - 2980*z**3 - 1107066*z**2 + 2223080*z - 1113032 = 0 for z.
-746, 1
Factor 4*t**4/5 + 4*t**3/5 - 16*t**2/5 - 16*t/5.
4*t*(t - 2)*(t + 1)*(t + 2)/5
Determine l, given that -2*l**2 - 28*l - 90 = 0.
-9, -5
Factor -15*t**2 + 11405*t - 3800.
-5*(t - 760)*(3*t - 1)
What is t in 2*t**2/7 - 698*t/7 = 0?
0, 349
Solve -2*o**2/5 - 56*o/5 - 54/5 = 0.
-27, -1
Solve -4*a**3/7 + 412*a**2 - 521280*a/7 + 518400/7 = 0.
1, 360
Factor 24642*k**2/5 + 3108*k/5 + 98/5.
2*(111*k + 7)**2/5
What is b in 4*b**3/3 - 148*b**2 - 16*b/3 + 592 = 0?
-2, 2, 111
What is g in 11*g**3/6 + 10*g**2/3 - 151*g/6 + 20 = 0?
-5, 1, 24/11
Factor u**3/4 + 7*u**2/4 + 5*u/2.
u*(u + 2)*(u + 5)/4
Factor -2*u**2/3 + 5236*u/3 - 3426962/3.
-2*(u - 1309)**2/3
Factor -147*t**4/5 + 651*t**3/5 + 408*t**2/5 + 12*t.
-3*t*(t - 5)*(7*t + 2)**2/5
Find v such that 5*v**2/4 + 1725*v/4 = 0.
-345, 0
Let 6*a**5/5 + 12*a**4 - 30*a**3 - 12*a**2 + 144*a/5 = 0. What is a?
-12, -1, 0, 1, 2
Solve -2*j**5/9 - 56*j**4/3 - 2668*j**3/9 - 1448*j**2 - 1170*j = 0.
-65, -9, -1, 0
Solve -3*q**5/8 - 3*q**4/4 - 3*q**3/8 = 0 for q.
-1, 0
Solve -9*a**3/2 - 960*a**2 - 639*a/2 = 0 for a.
-213, -1/3, 0
Factor -q**3/2 - 567*q**2/2 - 107163*q/2 - 6751269/2.
-(q + 189)**3/2
Find a such that -2*a**2/13 - 344*a/13 - 14792/13 = 0.
-86
Factor -3*x**5 + 24*x**4 - 36*x**3 - 6*x**2 + 39*x - 18.
-3*(x - 6)*(x - 1)**3*(x + 1)
Factor -601*i**2/3 - 4810*i/3 - 16/3.
-(i + 8)*(601*i + 2)/3
Let 44*w**5/5 - 3084*w**4/5 + 57172*w**3/5 - 109892*w**2/5 + 60384*w/5 - 4624/5 = 0. Calculate w.
1/11, 1, 34
Determine v, given that -4*v**5 + 548*v**4 - 19576*v**3 + 55480*v**2 - 54404*v + 17956 = 0.
1, 67
Suppose h**2/3 - 13*h/3 + 10 = 0. Calculate h.
3, 10
Determine l so that 3*l**4/4 - 33*l**3 + 1353*l**2/4 - 1143*l + 837 = 0.
1, 6, 31
Determine q so that 7*q**5/6 - 17*q**4/2 + 49*q**3/6 + 69*q**2/2 - 136*q/3 + 10 = 0.
-2, 2/7, 1, 3, 5
Determine s, given that 2*s**5/5 - 4*s**4/5 - 44*s**3/5 - 32*s**2/5 + 42*s/5 + 36/5 = 0.
-3, -1, 1, 6
Factor z**4/7 + 690*z**3/7 + 119713*z**2/7 + 237360*z/7 + 118336/7.
(z + 1)**2*(z + 344)**2/7
Factor -2*c**2 + 6*c + 56.
-2*(c - 7)*(c + 4)
Factor -5*b**3 + 5*b**2 + 165*b + 315.
-5*(b - 7)*(b + 3)**2
Factor -5*r**2 + 5*r + 360.
-5*(r - 9)*(r + 8)
Suppose -5*m**5 - 55*m**4 - 135*m**3 - 125*m**2 - 40*m = 0. Calculate m.
-8, -1, 0
Solve -8748*v**5/5 + 24786*v**4/5 - 6642*v**3/5 - 1956*v**2/5 + 872*v/5 - 16 = 0.
-1/3, 2/9, 5/2
Let a**4 - 6*a**3 - 31*a**2 + 84*a + 288 = 0. What is a?
-3, 4, 8
What is p in 2*p**3 + 196*p**2 + 4802*p = 0?
-49, 0
Factor z**4 - 232*z**3 + 20184*z**2 - 780448*z + 11316496.
(z - 58)**4
Suppose 3*f**2/4 - 75*f/4 - 63 = 0. Calculate f.
-3, 28
Factor m**2/5 - 11*m - 56/5.
(m - 56)*(m + 1)/5
Factor -3*k**4/2 - 27*k**3 - 243*k**2/2.
-3*k**2*(k + 9)**2/2
Suppose 3*h**3/8 + 10641*h**2/8 + 1178823*h - 2360307/2 = 0. What is h?
-1774, 1
Factor 3*a**2/5 - 1077*a/5 - 216.
3*(a - 360)*(a + 1)/5
Find j, given that j**5/5 + 153*j**4/5 + 5438*j**3/5 - 33266*j**2/5 - 82239*j/5 - 43687/5 = 0.
-79, -1, 7
Factor 4*r**5 + 28*r**4 + 52*r**3 - 12*r**2 - 72*r.
4*r*(r - 1)*(r + 2)*(r + 3)**2
Factor -t**3/4 + 19*t**2/2 + 45*t - 126.
-(t - 42)*(t - 2)*(t + 6)/4
Factor p**3/2 - 1365*p**2 + 1242150*p - 376785500.
(p - 910)**3/2
Factor 2*v**4/5 + 16*v**3/5 - 122*v**2/5 + 104*v/5.
2*v*(v - 4)*(v - 1)*(v + 13)/5
Factor 5*p**5 - 10*p**4 - 40*p**3 - 10*p**2 + 35*p + 20.
5*(p - 4)*(p - 1)*(p + 1)**3
What is p in -18*p**3/5 - 1857*p**2/5 - 183*p + 924/5 = 0?
-308/3, -1, 1/2
Factor q**3 - 8*q**2 + 7*q.
q*(q - 7)*(q - 1)
Let 4*o**4/3 - 16*o**3/3 - 4*o**2 + 40*o/3 + 32/3 = 0. Calculate o.
-1, 2, 4
Suppose 4*r**5/3 - 8*r**4/3 - 56*r**3/3 - 32*r**2/3 + 52*r/3 + 40/3 = 0. Calculate r.
-2, -1, 1, 5
Factor p**4 + 28*p**3 + 48*p**2 - 112*p - 208.
(p - 2)*(p + 2)**2*(p + 26)
Factor -j**4/2 + 346*j**3 + 1387*j**2/2 + 347*j.
-j*(j - 694)*(j + 1)**2/2
Factor 10*c**2/7 - 116*c/7 - 48/7.
2*(c - 12)*(5*c + 2)/7
Let -10*f**5 + 46*f**4 + 20*f**3 = 0. Calculate f.
-2/5, 0, 5
Find s such that -3*s**4/4 + 41*s**3/2 + 143*s**2/4 + 29*s/2 = 0.
-1, -2/3, 0, 29
Determine v so that -3*v**4/7 - 6*v**3/7 + 60*v**2/7 + 198*v/7 + 135/7 = 0.
-3, -1, 5
Factor -12*f**3 - 112*f**2 - 268*f - 168.
-4*(f + 1)*(f + 6)*(3*f + 7)
Factor -5*p**2 + 185*p - 1350.
-5*(p - 27)*(p - 10)
Factor -x**2/2 - 92*x - 4232.
-(x + 92)**2/2
Solve 2*y**2 - 18*y - 44 = 0.
-2, 11
Find l such that -2*l**5 + 262*l**4 - 8448*l**3 - 8712*l**2 = 0.
-1, 0, 66
What is x in -9*x**5/7 - 33*x**4/7 - 36*x**3/7 - 12*x**2/7 = 0?
-2, -1, -2/3, 0
Factor 3*r**4/4 + 3*r**3/2 - 9*r**2/4 - 6*r - 3.
3*(r - 2)*(r + 1)**2*(r + 2)/4
Solve -162*g**5/5 - 72*g**4/5 + 478*g**3/5 - 108*g**2/5 - 24*g - 16/5 = 0.
-2, -2/9, 1
Suppose 3*f**2 - 3*f/4 = 0. What is f?
0, 1/4
Factor 2*j**2/7 - 12*j/7 + 16/7.
2*(j - 4)*(j - 2)/7
Find y such that 110*y**4/23 - 114*y**3/23 + 4*y**2/23 = 0.
0, 2/55, 1
Let 2*q**5/11 - 4*q**4 + 86*q**3/11 + 628*q**2/11 - 1888*q/11 + 1216/11 = 0. What is q?
-4, 1, 2, 4, 19
Determine f so that -f**4/3 - 284*f**3/3 - 565*f**2/3 - 94*f = 0.
-282, -1, 0
Factor 2*u**4/19 + 10*u**3/19 - 2*u**2/19 - 10*u/19.
2*u*(u - 1)*(u + 1)*(u + 5)/19
Sup