+ 32*v**2/9 + 320*v/9 = 0. Calculate v.
-10, -2, 0, 4
Find f, given that 5*f**5 + 5*f**4 - 25*f**3 - 25*f**2 + 20*f + 20 = 0.
-2, -1, 1, 2
Factor -t**4/3 + 2*t**3 - 4*t**2/3 - 8*t + 32/3.
-(t - 4)*(t - 2)**2*(t + 2)/3
Suppose -98*y**4/5 - 1526*y**3/5 - 848*y**2/5 - 24*y = 0. Calculate y.
-15, -2/7, 0
Factor -y**3/3 - y**2 + 4*y/3.
-y*(y - 1)*(y + 4)/3
Solve -5*l**2 - 140*l + 145 = 0 for l.
-29, 1
Determine o so that 9*o**5 - 78*o**4 + 219*o**3 - 222*o**2 + 72*o = 0.
0, 2/3, 1, 3, 4
Solve k**2/3 - 2*k + 8/3 = 0.
2, 4
Factor -2*n**3/17 + 800*n**2/17 - 10906*n/17 + 37828/17.
-2*(n - 386)*(n - 7)**2/17
Solve 2*w**5 - 10*w**4 - 10*w**3 + 50*w**2 + 80*w + 32 = 0 for w.
-1, 4
What is h in -2*h**5 + 26*h**4 + 30*h**3 - 26*h**2 - 28*h = 0?
-1, 0, 1, 14
Factor -4*f**3 + 460*f**2 - 456*f.
-4*f*(f - 114)*(f - 1)
Factor 2*n**3/11 + 666*n**2/11 + 50112*n/11 - 908280/11.
2*(n - 15)*(n + 174)**2/11
Suppose -12*p**4 + 220*p**3 - 1024*p**2 + 176*p + 640 = 0. Calculate p.
-2/3, 1, 8, 10
Suppose 4*a**5 - 420*a**4 + 2428*a**3 - 5196*a**2 + 4768*a - 1584 = 0. What is a?
1, 2, 99
Determine u, given that 2*u**4/7 - 34*u**3/7 + 62*u**2/7 - 30*u/7 = 0.
0, 1, 15
Factor -y**2 + 120*y + 121.
-(y - 121)*(y + 1)
Factor 2*z**5 + 30*z**4 + 164*z**3 + 384*z**2 + 320*z.
2*z*(z + 2)*(z + 4)**2*(z + 5)
Factor -4*s**2 + 296*s - 5476.
-4*(s - 37)**2
Let 2*t**4/21 + 4*t**3/7 + 16*t**2/21 - 4*t/7 - 6/7 = 0. Calculate t.
-3, -1, 1
Factor 4*z**4 + 92*z**3 + 308*z**2 - 908*z + 504.
4*(z - 1)**2*(z + 7)*(z + 18)
Factor 516*s**2 - 15*s.
3*s*(172*s - 5)
Determine c so that c**3/3 + 3*c**2 + 2*c - 16/3 = 0.
-8, -2, 1
Factor 2*n**5 - 10*n**4 + 16*n**3 - 8*n**2.
2*n**2*(n - 2)**2*(n - 1)
Solve -u**2 + 3071*u - 3070 = 0 for u.
1, 3070
Factor -l**4/5 - 12*l**3 - 59*l**2/5.
-l**2*(l + 1)*(l + 59)/5
Find u, given that -4*u**5/7 + 12*u**4/7 + 8*u**3/7 - 48*u**2/7 + 32*u/7 = 0.
-2, 0, 1, 2
Factor 3*h**4 + 156*h**3.
3*h**3*(h + 52)
Find a such that 3*a**2/2 - 117*a/2 + 57 = 0.
1, 38
Factor -h**4/2 + 9*h**3/4 - h**2/4 - 3*h.
-h*(h - 4)*(h + 1)*(2*h - 3)/4
Solve -4*i**5 + 40*i**4 - 44*i**3 - 328*i**2 + 48*i + 288 = 0.
-2, -1, 1, 6
Factor -s**4/2 - 1686*s**3 - 2131947*s**2 - 1198154214*s - 505022001201/2.
-(s + 843)**4/2
Factor -c**3 + 70*c**2.
-c**2*(c - 70)
Factor -4*q**2/5 + 2304*q - 1658880.
-4*(q - 1440)**2/5
Factor 2*b**4/3 - 4*b**3 - 16*b**2/3 + 4*b + 14/3.
2*(b - 7)*(b - 1)*(b + 1)**2/3
Factor -5*s**2 - 695*s.
-5*s*(s + 139)
Solve 5*g**3 + 470*g**2 - 475*g = 0 for g.
-95, 0, 1
Determine x so that -x**2/3 + 19*x - 812/3 = 0.
28, 29
Let 4*c**5 - 88*c**4 + 296*c**3 - 128*c**2 - 300*c + 216 = 0. Calculate c.
-1, 1, 3, 18
Let 10*m**4 + 56*m**3 + 6*m**2 - 112*m + 40 = 0. Calculate m.
-5, -2, 2/5, 1
Suppose -5*n**5 + 30*n**4 + 320*n**3 + 480*n**2 = 0. Calculate n.
-4, -2, 0, 12
Let 7*q**3/3 + 227*q**2 - 1192*q/3 - 132 = 0. Calculate q.
-99, -2/7, 2
Find n such that -2*n**3/13 - 50*n**2/13 + 292*n/13 - 240/13 = 0.
-30, 1, 4
Factor 4*v**5 - 68*v**4 + 64*v**3.
4*v**3*(v - 16)*(v - 1)
Suppose -8*j**5/9 - 2*j**4/3 + 8*j**3/9 + 2*j**2/3 = 0. What is j?
-1, -3/4, 0, 1
Let -3*x**3 + 1170*x**2 - 152100*x + 6591000 = 0. What is x?
130
Factor 5*g**2 - 30*g + 45.
5*(g - 3)**2
Solve v**3/7 + 25*v**2/7 + 114*v/7 = 0.
-19, -6, 0
Factor 3*d**4/4 - 309*d**3/4 + 609*d**2/4 - 303*d/4.
3*d*(d - 101)*(d - 1)**2/4
Find n, given that 4*n**2/5 - 36/5 = 0.
-3, 3
Factor -g**3/6 + 10*g**2 - 200*g + 4000/3.
-(g - 20)**3/6
Factor -5*a**2 - 145*a - 140.
-5*(a + 1)*(a + 28)
Factor -z**2 + 11*z - 18.
-(z - 9)*(z - 2)
Suppose 2*f**5/11 + 12*f**4/11 - 94*f**3/11 + 168*f**2/11 - 8*f = 0. What is f?
-11, 0, 1, 2
Find q such that 3*q**3 - 168*q**2 + 609*q + 780 = 0.
-1, 5, 52
Factor g**3/10 - 3*g**2/2 + 47*g/10 - 33/10.
(g - 11)*(g - 3)*(g - 1)/10
Factor -4*k**2 - 13*k + 17.
-(k - 1)*(4*k + 17)
Determine l so that -46*l**2/9 + 152*l/9 - 14/3 = 0.
7/23, 3
Suppose -3*o**4/7 - 36*o**3/7 + 99*o**2/7 + 192*o/7 - 36 = 0. What is o?
-14, -2, 1, 3
Factor -i**2/8 + 3225*i/8.
-i*(i - 3225)/8
Determine n so that 6*n**4 + 45*n**3 + 66*n**2 - 45*n = 0.
-5, -3, 0, 1/2
What is x in -4*x**2 + 968*x - 58564 = 0?
121
Solve 2*l**4/3 - 16*l**3/3 + 4*l**2 + 80*l/3 + 50/3 = 0.
-1, 5
Factor -t**3 + 11*t**2 - 31*t + 21.
-(t - 7)*(t - 3)*(t - 1)
Solve 2*z**5 + 46*z**4 + 110*z**3 - 206*z**2 - 112*z + 160 = 0 for z.
-20, -4, -1, 1
Factor 2*d**3/17 - 84*d**2/17 - 768*d/17 - 1600/17.
2*(d - 50)*(d + 4)**2/17
What is i in 63*i**5 - 6*i**4 - 198*i**3 - 108*i**2 + 39*i + 18 = 0?
-1, -1/3, 3/7, 2
Suppose -2*z**4/9 - 130*z**3/9 + 278*z**2/3 - 1270*z/9 + 568/9 = 0. Calculate z.
-71, 1, 4
Factor 2*w**2 + 754*w - 1516.
2*(w - 2)*(w + 379)
Factor 5*d**2 - 35*d - 40.
5*(d - 8)*(d + 1)
Determine h, given that 54*h**5/23 + 384*h**4/23 + 632*h**3/23 + 308*h**2/23 - 14*h/23 - 20/23 = 0.
-5, -1, -1/3, 2/9
Let -4*k**5 + 3996*k**4 - 1003932*k**3 + 2940212*k**2 + 8908224*k + 4960080 = 0. What is k?
-1, 5, 498
Let 2*a**5/9 - 302*a**4/3 + 45296*a**3/3 - 6607744*a**2/9 - 7023616*a/3 = 0. Calculate a.
-3, 0, 152
Determine x so that x**3 + 2779*x**2 = 0.
-2779, 0
Determine a, given that -a**2/7 - 30*a/7 = 0.
-30, 0
Factor 4*n**4/7 + 8*n**3/7 - 220*n**2/7 - 32*n.
4*n*(n - 7)*(n + 1)*(n + 8)/7
Suppose -g**3 - 399*g**2 - 53067*g - 2352637 = 0. What is g?
-133
Let 3*w**2/4 - 513*w/2 - 1029/4 = 0. What is w?
-1, 343
Let -2*b**2 - 64*b = 0. What is b?
-32, 0
Factor -17*z**3 - 18*z**2 - z.
-z*(z + 1)*(17*z + 1)
Factor 3*c**5 - 6*c**4 - 3*c**3 + 6*c**2.
3*c**2*(c - 2)*(c - 1)*(c + 1)
Let -27*m**5 - 18*m**4 + 168*m**3 + 48*m**2 - 240*m + 96 = 0. What is m?
-2, 2/3, 2
What is l in 10*l**4 - 186*l**3 + 754*l**2 - 318*l - 260 = 0?
-2/5, 1, 5, 13
Solve -3*f**2/4 + 9*f - 24 = 0.
4, 8
Suppose -15*m**4 - 24*m**3 + 237*m**2 - 90*m = 0. Calculate m.
-5, 0, 2/5, 3
Let -4*s**2 + 68*s + 5952 = 0. What is s?
-31, 48
Suppose 2*o**3/3 + 8*o**2 + 10*o/3 - 44 = 0. What is o?
-11, -3, 2
Let -5*g**5 + 10*g**4 + 125*g**3 - 10*g**2 - 120*g = 0. What is g?
-4, -1, 0, 1, 6
Factor -l**3/3 + 8*l**2 - 28*l + 80/3.
-(l - 20)*(l - 2)**2/3
Factor 2*k**2 - 12*k - 14.
2*(k - 7)*(k + 1)
What is p in -5*p**5 + 50*p**4 + 185*p**3 + 130*p**2 = 0?
-2, -1, 0, 13
Determine u so that -7*u**5/3 - 313*u**4/3 - 2948*u**3/3 + 4228*u**2/3 - 320*u = 0.
-30, -16, 0, 2/7, 1
Factor -3*i**2 - 2544*i - 539328.
-3*(i + 424)**2
Find g, given that -14*g**5/11 - 30*g**4/11 + 10*g**3/11 + 30*g**2/11 + 4*g/11 = 0.
-2, -1, -1/7, 0, 1
Solve -7*a**5 + 446*a**4 + 4055*a**3 + 8682*a**2 + 2160*a = 0.
-5, -3, -2/7, 0, 72
Factor 2*j**5/5 + 96*j**4/5 + 1244*j**3/5 + 2208*j**2/5 + 1058*j/5.
2*j*(j + 1)**2*(j + 23)**2/5
Factor j**2/3 - 732*j + 401868.
(j - 1098)**2/3
Factor 3*l**3 + 72*l**2 + 225*l - 300.
3*(l - 1)*(l + 5)*(l + 20)
Factor -b**3/4 - 3*b**2 + 64.
-(b - 4)*(b + 8)**2/4
Factor 2*w**5/5 - 8*w**4 - 36*w**3 - 56*w**2 - 38*w - 48/5.
2*(w - 24)*(w + 1)**4/5
Suppose p**5 - 42*p**4 + 350*p**3 + 1888*p**2 + 2553*p + 1058 = 0. Calculate p.
-2, -1, 23
What is q in -q**2 + q + 6 = 0?
-2, 3
Find n such that -3*n**3/7 + 414*n**2/7 - 1620*n/7 + 1608/7 = 0.
2, 134
Factor 8*y**3 - 400*y**2 + 1146*y - 846.
2*(y - 47)*(2*y - 3)**2
Find h such that h**2/11 - 1631*h/11 + 1630/11 = 0.
1, 1630
Factor -2*m**2/3 + 254*m + 764/3.
-2*(m - 382)*(m + 1)/3
Factor -3*p**4/2 + 3*p**3 + 12*p**2.
-3*p**2*(p - 4)*(p + 2)/2
Suppose 4*s**5 + 96*s**4 + 868*s**3 + 3624*s**2 + 6832*s + 4704 = 0. Calculate s.
-7, -6, -2
Let l**2/3 - 41*l/3 - 14 = 0. Calculate l.
-1, 42
What is y in 2*y**3/21 - 428*y**2/21 - 2*y/21 + 428/21 = 0?
-1, 1, 214
Factor 57*d**3/4 + 30*d**2 + 69*d/4 + 3/2.
3*(d + 1)**2*(19*d + 2)/4
Factor 3*z**4 - 111*z**3 + 1008*z**2.
3*z**2*(z - 21)*(z - 16)
Factor -11*l**2/6 - 761*l/6 - 23.
-(l + 69)*(11*l + 2)/6
Determine i, given that i**5/2 - 5*i**4/2 - 23*i**3/2 - 11*i**2/2 + 11*i + 8 = 0.
-2, -1, 1, 8
Factor 2*g**3 - 30*g**2 - 236*g - 336.
2*(g - 21)*(g + 2)*(g + 4)
What is s in -2*s**5 + 1824*s**4 - 554488*s**3 + 56181632*s**2 + 2217984*s - 224755712 = 0?
-2, 2, 304
Factor -20*m**2/3 + 2782*m/3 + 372.
-2*(2*m - 279)*(5*m + 2)/3
Find d, given that -3*d**5 + 24*d**4 + 81*d**3 - 222*d**2 + 120*d = 0.
-4, 0, 1, 10
Factor -2*r**4/3 + 8*r**3/3 - 10*r**2/3 + 4*r/3.
-2*r*(r - 2)*(r - 1)**2/3
Factor 2*b**3/5 - 34*b**2/5 + 112*b/5 - 104/5.
2*(b - 13)*(b - 2)**2/5
Suppose -z**5/