- s**4/3 + 2*s**3 - 2*s**2/3 - 5*s/3 + 1.
-(s - 1)**3*(s + 1)*(s + 3)/3
Factor -2*i**2/15 + 184*i/3 - 21160/3.
-2*(i - 230)**2/15
Solve -5*i**3 - 130*i**2 - 545*i - 420 = 0 for i.
-21, -4, -1
Factor 2*s**5/3 + 10*s**4/3 + 8*s**3/3.
2*s**3*(s + 1)*(s + 4)/3
Factor -2*v**3 - 104*v**2 + 330*v.
-2*v*(v - 3)*(v + 55)
Let r**5 - 10*r**4 - 12*r**3 + 10*r**2 + 11*r = 0. Calculate r.
-1, 0, 1, 11
Factor -3*u**3 + 15*u**2 + 96*u + 108.
-3*(u - 9)*(u + 2)**2
Find c, given that -c**2/2 - 330*c - 54450 = 0.
-330
Determine v so that 2*v**4 + 248*v**3 + 2124*v**2 + 6264*v + 6210 = 0.
-115, -3
Find g, given that 3*g**5 - 72*g**4 + 342*g**3 + 1248*g**2 - 1521*g = 0.
-3, 0, 1, 13
Determine t, given that t**4 - 236*t**3 + 20886*t**2 - 821516*t + 12117361 = 0.
59
Factor 2*j**3/5 + 22*j**2/5.
2*j**2*(j + 11)/5
Factor 2*v**3/11 + 824*v**2/11 - 1654*v/11 + 828/11.
2*(v - 1)**2*(v + 414)/11
Factor 4*t**4 - 112*t**3 - 392*t**2 + 16464*t + 86436.
4*(t - 21)**2*(t + 7)**2
Suppose -10*g**5/17 + 12*g**4/17 + 38*g**3/17 - 48*g**2/17 + 8*g/17 = 0. What is g?
-2, 0, 1/5, 1, 2
Suppose -6*j**4/11 + 12*j**2/11 - 6/11 = 0. Calculate j.
-1, 1
Find n such that n**4 - 16*n**3 - 146*n**2 - 336*n - 207 = 0.
-3, -1, 23
Determine w, given that -w**3/4 + w**2/4 = 0.
0, 1
Factor -3*f**2/8 - 63*f/4 - 1323/8.
-3*(f + 21)**2/8
Factor -q**5 - 28*q**4 + 30*q**3 + 28*q**2 - 29*q.
-q*(q - 1)**2*(q + 1)*(q + 29)
Let x**4 + 97*x**3 + 191*x**2 + 95*x = 0. Calculate x.
-95, -1, 0
Let -3*a**2/2 + 831*a - 3300 = 0. Calculate a.
4, 550
Solve -3*s**2 + 6138*s - 3139587 = 0.
1023
Find c such that -5*c**2/3 - 23*c/3 - 6 = 0.
-18/5, -1
Factor 3*z**3 + 111*z**2 + 201*z - 315.
3*(z - 1)*(z + 3)*(z + 35)
What is a in -3*a**3 + 174*a**2 + 3*a - 174 = 0?
-1, 1, 58
Let 2*o**5 - 22*o**4 + 86*o**3 - 146*o**2 + 112*o - 32 = 0. Calculate o.
1, 4
Let 4*c**5 + 8*c**4 - 28*c**3 - 80*c**2 - 48*c = 0. What is c?
-2, -1, 0, 3
Factor 2*u**2/5 - 3548*u + 7867690.
2*(u - 4435)**2/5
What is i in 5*i**5 - 34*i**4/3 - 181*i**3/3 + 244*i**2/3 + 244*i/3 + 16 = 0?
-3, -2/5, -1/3, 2, 4
Factor -4*b**2 - 4620*b + 9256.
-4*(b - 2)*(b + 1157)
Factor 5*m**4 + 65*m**3 - 15*m**2 - 205*m - 130.
5*(m - 2)*(m + 1)**2*(m + 13)
Factor 12*m**4 + 32*m**3 - 80*m**2 - 64*m.
4*m*(m - 2)*(m + 4)*(3*m + 2)
Let 2*c**4/17 - 24*c**3/17 - 28*c**2/17 + 24*c/17 + 26/17 = 0. Calculate c.
-1, 1, 13
Factor -2*s**3/3 - 2*s**2 + 8/3.
-2*(s - 1)*(s + 2)**2/3
Suppose -x**2/3 + x/3 = 0. Calculate x.
0, 1
Factor 125*q**2 + 85*q - 40.
5*(q + 1)*(25*q - 8)
Solve -3*m**4 - 1230*m**3 - 127299*m**2 - 250920*m - 124848 = 0 for m.
-204, -1
What is v in v**5/4 - 19*v**4/4 + 99*v**3/4 - 81*v**2/4 = 0?
0, 1, 9
Factor -2*s**4/11 - 7632*s**3/11 - 7273292*s**2/11 + 14569488*s/11 - 7288562/11.
-2*(s - 1)**2*(s + 1909)**2/11
Suppose q**3 + 376*q**2 - 3056*q + 6144 = 0. What is q?
-384, 4
Factor 80802*f**3 + 887214*f**2 - 17680*f + 88.
2*(f + 11)*(201*f - 2)**2
Solve -3*q**5 - 153*q**4 - 3033*q**3 - 29055*q**2 - 133848*q - 237276 = 0 for q.
-13, -6
Factor 3*v**5 - 6*v**4 - 9*v**3 + 24*v**2 - 12*v.
3*v*(v - 2)*(v - 1)**2*(v + 2)
Factor 12*t**3 + 30213*t**2 - 7554*t.
3*t*(t + 2518)*(4*t - 1)
Determine l, given that -10*l**3 - 95*l**2 - 45*l = 0.
-9, -1/2, 0
Suppose -q**3/8 + q**2/8 + 3*q/2 = 0. What is q?
-3, 0, 4
Factor -2*j**4 - 8*j**3 + 12*j**2 + 72*j + 54.
-2*(j - 3)*(j + 1)*(j + 3)**2
Factor -3*s**2/5 + 72*s/5.
-3*s*(s - 24)/5
Factor 5*u**5 + 20*u**4 - 205*u**3 + 180*u**2.
5*u**2*(u - 4)*(u - 1)*(u + 9)
Let t**3 - 8*t**2 + 13*t - 6 = 0. Calculate t.
1, 6
Factor -5*v**3/2 + 710*v**2 + 2855*v/2 + 715.
-5*(v - 286)*(v + 1)**2/2
Factor 2*q**5/7 - 10*q**4/7 + 2*q**3 - 6*q**2/7.
2*q**2*(q - 3)*(q - 1)**2/7
Solve g**2/2 - 460*g + 2751/2 = 0.
3, 917
Factor -5*p**4 - 695*p**3 - 24495*p**2 - 23805*p.
-5*p*(p + 1)*(p + 69)**2
Factor -3*f**5/2 + 177*f**4/2 + 804*f**3.
-3*f**3*(f - 67)*(f + 8)/2
What is y in -2*y**2 - 450*y - 448 = 0?
-224, -1
Let g**4/10 - g**3 - 3*g**2/10 + 16*g/5 - 2 = 0. What is g?
-2, 1, 10
Factor 4*l**2 - 244*l + 912.
4*(l - 57)*(l - 4)
Determine h, given that -h**3/3 - 10*h**2/3 + 191*h/3 - 60 = 0.
-20, 1, 9
Let -3*r**4/4 + 105*r**3/4 + 219*r**2/4 + 111*r/4 = 0. What is r?
-1, 0, 37
Factor 3*n**4 + 43*n**3 + 89*n**2 + 61*n + 12.
(n + 1)**2*(n + 12)*(3*n + 1)
Factor 58242845*u**2 - 68260*u + 20.
5*(3413*u - 2)**2
Factor -3*j**2/2 + 2679*j/2 - 1338.
-3*(j - 892)*(j - 1)/2
Factor 5*w**3 + 95*w**2 + 175*w + 85.
5*(w + 1)**2*(w + 17)
Solve -707*q**3 - 2*q**2/5 = 0 for q.
-2/3535, 0
Determine r so that -r**3 + 615*r**2 = 0.
0, 615
Determine z so that -3*z**4 - 4*z**3 + 131*z**2/3 + 14*z - 392/3 = 0.
-4, -2, 7/3
Find q, given that q**5 + 3*q**4 - 2*q**3 - 6*q**2 + q + 3 = 0.
-3, -1, 1
Suppose t**2/4 + 28*t + 784 = 0. Calculate t.
-56
Find b, given that b**5/3 - 41*b**4/3 + 464*b**3/3 - 2056*b**2/3 + 1168*b - 624 = 0.
1, 2, 6, 26
Factor 2*z**2/9 - 250*z/9 + 1652/9.
2*(z - 118)*(z - 7)/9
Let -2*h**3/3 - 12*h**2 + 440*h - 7600/3 = 0. Calculate h.
-38, 10
Find h such that 8*h**5 - 74*h**4 + 178*h**3 - 136*h**2 + 24*h = 0.
0, 1/4, 1, 2, 6
Factor -2*g**2 - 356*g.
-2*g*(g + 178)
Determine v so that 5*v**5 - 5*v**4 - 145*v**3 + 225*v**2 + 1080*v - 2160 = 0.
-4, 3
Solve 2*r**5/15 - 14*r**4/15 + 6*r**3/5 + 38*r**2/15 - 44*r/15 - 16/5 = 0 for r.
-1, 2, 3, 4
Find a, given that 288*a**4/7 - 24112*a**3/7 + 17314*a**2/7 - 4154*a/7 + 332/7 = 0.
2/9, 1/4, 83
Solve 2*z**2 - 2 = 0.
-1, 1
Factor 2*s**5 - 124*s**4 + 570*s**3.
2*s**3*(s - 57)*(s - 5)
Factor 2*x**4 + 198*x**3 + 4796*x**2 - 5400*x - 10000.
2*(x - 2)*(x + 1)*(x + 50)**2
Factor 3*x**3/2 + x**2/3 - 3*x/2 - 1/3.
(x - 1)*(x + 1)*(9*x + 2)/6
Factor 5*n**4 + 85*n**3 - 810*n**2 + 720*n.
5*n*(n - 6)*(n - 1)*(n + 24)
Factor -29241*z**3 - 28899*z**2 + 341*z - 1.
-(z + 1)*(171*z - 1)**2
Factor i**5/3 + 13*i**4/3 + 15*i**3 - 25*i**2/3 - 250*i/3.
i*(i - 2)*(i + 5)**3/3
Factor 2*a**2/3 + 6*a - 20/3.
2*(a - 1)*(a + 10)/3
Suppose 2*c**3/21 - 386*c**2/21 - 388*c/21 = 0. Calculate c.
-1, 0, 194
Factor -3*o**2/7 + 15348*o/7 - 19630092/7.
-3*(o - 2558)**2/7
Determine c, given that c**2/4 + 55*c/4 - 57/2 = 0.
-57, 2
Factor 3*n**3 - 120*n**2 - 2031*n - 1908.
3*(n - 53)*(n + 1)*(n + 12)
Factor -4*c**2 - 44920*c - 126112900.
-4*(c + 5615)**2
Factor -2*n**2/9 - 8*n/9 + 64/3.
-2*(n - 8)*(n + 12)/9
Factor 4*j**3 + 108*j**2 + 672*j + 1216.
4*(j + 4)**2*(j + 19)
Let 4*q**2 + 44*q + 72 = 0. What is q?
-9, -2
Factor -g**2 - 3*g + 10.
-(g - 2)*(g + 5)
Factor -8*t**2/5 + 1146*t/5 - 286/5.
-2*(t - 143)*(4*t - 1)/5
What is l in 12*l**5 - 248*l**4 + 148*l**3 + 248*l**2 - 160*l = 0?
-1, 0, 2/3, 1, 20
Factor -4*o**2/7 - 2844*o/7.
-4*o*(o + 711)/7
Suppose -r**3/9 + 5*r**2/9 - 2*r/3 = 0. Calculate r.
0, 2, 3
Factor -3*d**4 + 12*d**3 - 3*d**2 - 18*d.
-3*d*(d - 3)*(d - 2)*(d + 1)
Solve -3*g**4 - 75*g**3 + 3*g**2 + 75*g = 0 for g.
-25, -1, 0, 1
Let 5*i**5/4 + 105*i**4/4 - 115*i**3/2 = 0. Calculate i.
-23, 0, 2
What is k in -4*k**3 + 120*k**2 - 1116*k + 3240 = 0?
6, 9, 15
Factor -l**3/6 - 4*l**2 + 25*l/6 + 100.
-(l - 5)*(l + 5)*(l + 24)/6
Suppose -3*t**3/5 + 77*t**2/5 - 118*t/5 - 48/5 = 0. Calculate t.
-1/3, 2, 24
Find d, given that -3*d**4 - 45*d**3 + 51*d**2 + 45*d - 48 = 0.
-16, -1, 1
Factor 3*p**3/5 + 9*p**2/5 - 27*p - 105.
3*(p - 7)*(p + 5)**2/5
Solve q**3/3 - 31*q**2/3 - 71*q - 111 = 0.
-3, 37
Let -2*z**2 - 74*z - 680 = 0. Calculate z.
-20, -17
Suppose 2*x**2/3 - 4*x/3 + 2/3 = 0. Calculate x.
1
Factor -2*i**3/11 - 14*i**2/11 + 2*i/11 + 14/11.
-2*(i - 1)*(i + 1)*(i + 7)/11
Find v, given that -80*v**4 + 3560*v**3 - 5085*v**2 - 3215*v - 430 = 0.
-1/4, 2, 43
Let -2*o**5/5 + 16*o**4/5 - 6*o**3/5 - 112*o**2/5 + 8*o/5 + 96/5 = 0. What is o?
-2, -1, 1, 4, 6
Factor -432*g**4/7 - 72*g**3/7 + 69*g**2/7 + 6*g/7 - 3/7.
-3*(3*g + 1)**2*(4*g - 1)**2/7
Suppose 35*i**5 + 130*i**4 + 135*i**3 + 20*i**2 - 20*i = 0. What is i?
-2, -1, 0, 2/7
Factor 54*r**2/7 - 384*r - 600/7.
6*(r - 50)*(9*r + 2)/7
Factor -5*c**2 + 10*c - 5.
-5*(c - 1)**2
Let -4*o**5 + 36*o**4 - 92*o**3 + 28*o**2 + 96*o - 64 = 0. Calculate o.
-1, 1, 4
Factor j**2/8 + 7*j/8 + 3/4.
(j + 1)*(j + 6)/8
Determine o, given that -2*o**3/3 - 8*o**2/3 + 26*o - 36 = 0.
-9, 2, 3
Factor 2*b**4 - 6*b**3 - 164*b**2 + 888*b - 720.
2*(b - 6)**2*(b - 1)*(b + 10)
What is n in -1280*n**3 - 2080*n**2 - 925*n - 125 = 0?
-1, -5/16
Determine