
-4*(w - 47)*(w - 1)*(w + 1)/5
Determine v, given that -2*v**4/13 + 32*v**2/13 = 0.
-4, 0, 4
Solve -26*y**5/3 + 115*y**4/3 + 46*y**3/3 - 183*y**2 + 54*y + 72 = 0 for y.
-2, -1/2, 12/13, 3
Factor 4*c**5 - 16*c**4 + 64*c**2 - 64*c.
4*c*(c - 2)**3*(c + 2)
Suppose 2*c**5/5 - 34*c**4/5 + 124*c**3/5 + 32*c**2 = 0. What is c?
-1, 0, 8, 10
Suppose 9*v**3 - 132*v**2 + 444*v - 240 = 0. Calculate v.
2/3, 4, 10
Find x such that -2*x**2/3 + 31*x/6 - 7/2 = 0.
3/4, 7
Factor -2*k**2/9 - 8*k/3 - 64/9.
-2*(k + 4)*(k + 8)/9
Factor f**3/2 - 281*f**2/2 + 9940*f - 9800.
(f - 140)**2*(f - 1)/2
Let 265*y**5 - 9020*y**4 + 115085*y**3 - 653050*y**2 + 1398240*y - 51840 = 0. What is y?
2/53, 8, 9
Factor 10*m**4 - 125*m**3 + 415*m**2 - 120*m - 180.
5*(m - 6)**2*(m - 1)*(2*m + 1)
Factor 4*w**2 - 48*w + 140.
4*(w - 7)*(w - 5)
Find z, given that z**3/3 + 5*z**2 - 76*z/3 = 0.
-19, 0, 4
Factor 4*a**2 + 280*a - 284.
4*(a - 1)*(a + 71)
Find t such that 2*t**5 + 16*t**4 + 44*t**3 + 48*t**2 + 18*t = 0.
-3, -1, 0
Solve -t**5/5 - 8*t**4/5 - 7*t**3/5 + 72*t**2/5 + 144*t/5 = 0.
-4, -3, 0, 3
Determine k, given that k**5 + 5*k**4 - 8*k**3 - 44*k**2 + 32*k + 64 = 0.
-4, -1, 2
Factor 2*b**3/9 + 18*b**2 + 1120*b/3 + 3200/9.
2*(b + 1)*(b + 40)**2/9
Find o such that -o**2 - 122*o + 2840 = 0.
-142, 20
Solve 2*g**4 - 82*g**3 + 376*g**2 - 584*g + 288 = 0 for g.
1, 2, 36
Determine u so that -u**4/4 + 411*u**3/2 - 168097*u**2/4 - 84666*u - 42436 = 0.
-1, 412
Determine a, given that -7*a**4/5 - 2*a**3/5 + 7*a**2/5 + 2*a/5 = 0.
-1, -2/7, 0, 1
What is r in 2*r**4/19 + 48*r**3/19 + 312*r**2/19 + 448*r/19 = 0?
-14, -8, -2, 0
Factor -7*g**3/8 - 4541*g**2/8 - 1619*g/4 + 162.
-(g + 1)*(g + 648)*(7*g - 2)/8
Determine j so that 3*j**5 - 42*j**4 - 57*j**3 + 168*j**2 + 180*j = 0.
-2, -1, 0, 2, 15
Factor 3*z**4 + 66*z**3 + 519*z**2 + 1680*z + 1764.
3*(z + 2)*(z + 6)*(z + 7)**2
Solve -3*u**3 + 73*u**2/3 + 73*u/3 - 3 = 0 for u.
-1, 1/9, 9
Factor -2*s**3/3 - 2*s**2 + 8/3.
-2*(s - 1)*(s + 2)**2/3
Factor -a**4/4 - 9*a**3/2 - 27*a**2 - 62*a - 48.
-(a + 2)**2*(a + 6)*(a + 8)/4
Factor -25*x**3/3 - 115*x**2 - 480*x - 540.
-5*(x + 6)**2*(5*x + 9)/3
Find t such that -3*t**2 - 189*t - 366 = 0.
-61, -2
Suppose -4*k**4 + 48*k**2 - 64*k = 0. Calculate k.
-4, 0, 2
Find i, given that i**3/3 + 7*i**2 - 147*i - 3087 = 0.
-21, 21
Factor 3*s**4/5 - 12*s**3/5 - 81*s**2/5 + 42*s + 120.
3*(s - 5)**2*(s + 2)*(s + 4)/5
Determine u so that -21*u**3/2 - 213*u**2/4 - 297*u/4 - 27 = 0.
-3, -3/2, -4/7
Suppose -7*s**4/5 + 289*s**3/5 - 575*s**2 - 2289*s/5 + 882/5 = 0. Calculate s.
-1, 2/7, 21
Let -b**3 + 8*b**2 - 20*b + 16 = 0. What is b?
2, 4
Find v, given that -3*v**5 - 15*v**4 + 93*v**3 - 129*v**2 + 54*v = 0.
-9, 0, 1, 2
Let 5*i**3/4 + 4365*i**2 + 15260025*i/4 + 15225125/2 = 0. What is i?
-1745, -2
Solve -2*m**4/7 - 80*m**3/7 + 166*m**2/7 - 12*m = 0.
-42, 0, 1
Factor 4*q**3/3 - 588*q**2 + 86436*q - 4235364.
4*(q - 147)**3/3
Find y, given that y**2 + 78*y + 152 = 0.
-76, -2
Suppose -5*l**4 + 65*l**3 - 240*l**2 + 340*l - 160 = 0. Calculate l.
1, 2, 8
Determine x so that -x**4/3 + 74*x**3/3 - 71*x**2 = 0.
0, 3, 71
Find t, given that -3*t**4 - 134*t**3/5 + 341*t**2/5 - 4*t/5 - 44/5 = 0.
-11, -1/3, 2/5, 2
Let -p**3/3 - 35*p**2/3 - 352*p/3 - 256 = 0. What is p?
-16, -3
What is f in f**3/2 + 1699*f**2/2 = 0?
-1699, 0
Factor 5*q**4 + 45*q**3 + 105*q**2 + 95*q + 30.
5*(q + 1)**3*(q + 6)
Let 267*p**3/2 + 264*p**2 + 255*p/2 - 3 = 0. Calculate p.
-1, 2/89
Factor -2*p**3 - 22*p**2 - 16*p + 40.
-2*(p - 1)*(p + 2)*(p + 10)
Factor 4*t**3 + 48*t**2 - 396*t + 648.
4*(t - 3)**2*(t + 18)
Factor 4*m**2 + 36*m + 56.
4*(m + 2)*(m + 7)
Find h, given that -2*h**4/9 + 8*h**3/3 - 6*h**2 - 80*h/9 = 0.
-1, 0, 5, 8
Factor 7*b**3/3 + 37*b**2/3 + 38*b/3 + 8/3.
(b + 1)*(b + 4)*(7*b + 2)/3
Find s such that 2*s**4/17 + 16*s**3/17 + 22*s**2/17 - 40*s/17 = 0.
-5, -4, 0, 1
Determine g, given that 2*g**2/7 - 1452*g/7 + 1450/7 = 0.
1, 725
Solve 2*k**5 - 14*k**4 + 32*k**3 - 24*k**2 = 0.
0, 2, 3
Factor -4*s**2 - 28*s + 176.
-4*(s - 4)*(s + 11)
Factor p**4/2 + 131*p**3/2 - 265*p**2/2 + 133*p/2.
p*(p - 1)**2*(p + 133)/2
Find n such that -4*n**3/7 - 288*n**2/7 - 284*n/7 = 0.
-71, -1, 0
Factor -5*b**3 - 155*b**2 + 5*b + 155.
-5*(b - 1)*(b + 1)*(b + 31)
Factor 3*w**4/7 + 54*w**3 + 10251*w**2/7 - 107736*w/7.
3*w*(w - 8)*(w + 67)**2/7
Factor -5*z**2 - 12030*z - 7236045.
-5*(z + 1203)**2
Suppose -h**4 + 9*h**3 - 21*h**2 + 19*h - 6 = 0. Calculate h.
1, 6
Find b, given that b**3 + 5*b**2 + 7*b + 3 = 0.
-3, -1
Let 68*c**3 + 528*c**2/7 + 4*c - 24/7 = 0. What is c?
-1, -2/7, 3/17
Find l such that l**5/4 + 39*l**4/4 + 13*l**3/2 - 121*l**2 - 270*l - 152 = 0.
-38, -2, -1, 4
Factor -4*o**3 - 844*o**2 + 848*o.
-4*o*(o - 1)*(o + 212)
Solve -14*r**2/3 - 6*r - 4/3 = 0.
-1, -2/7
Let 15*y**3/2 + 171*y**2/2 + 108*y + 30 = 0. Calculate y.
-10, -1, -2/5
Factor 16*l**3/7 + 68*l**2/7 + 64*l/7 + 12/7.
4*(l + 1)*(l + 3)*(4*l + 1)/7
What is c in -c**5 + 5*c**4 + 53*c**3 + 131*c**2 + 128*c + 44 = 0?
-2, -1, 11
Factor 3*l**3 - 243*l**2 + 1350*l.
3*l*(l - 75)*(l - 6)
Find t, given that 9*t**2 + 354*t - 240 = 0.
-40, 2/3
What is a in -a**5/4 - 3*a**4/4 + 5*a**3/4 + 27*a**2/4 + 8*a + 3 = 0?
-2, -1, 3
Factor u**3/5 - 17*u**2/5 + 56*u/5 - 52/5.
(u - 13)*(u - 2)**2/5
Find l, given that 4*l**3 + 68*l**2 + 88*l - 480 = 0.
-15, -4, 2
Factor -2*d**3/9 + 78*d**2 - 20650*d/3 + 61250/9.
-2*(d - 175)**2*(d - 1)/9
Find r, given that -3*r**2 + 30*r + 33 = 0.
-1, 11
Factor -4*n**3/3 + 32*n**2 - 176*n/3.
-4*n*(n - 22)*(n - 2)/3
Factor -p**3/9 - 14*p**2/9 - 56*p/9 - 64/9.
-(p + 2)*(p + 4)*(p + 8)/9
Let -v**2/9 - 11*v/3 = 0. Calculate v.
-33, 0
Let -2*q**4/9 - 2*q**3/9 + 64*q**2/9 + 40*q/3 = 0. Calculate q.
-5, -2, 0, 6
Factor 5*o**2 - 5*o.
5*o*(o - 1)
Suppose r**3/3 - r**2/3 - 65*r/3 - 21 = 0. What is r?
-7, -1, 9
Factor -5*s**4/6 + 3985*s**3/3 - 1053355*s**2/2 - 6368030*s/3 - 6384010/3.
-5*(s - 799)**2*(s + 2)**2/6
Factor -2*f**2 + 7700*f - 7411250.
-2*(f - 1925)**2
Suppose 2*l**3 - 1636*l**2/5 + 974*l/5 + 652/5 = 0. What is l?
-2/5, 1, 163
Factor -4*h**5 - 24*h**4 + 96*h**3 - 104*h**2 + 36*h.
-4*h*(h - 1)**3*(h + 9)
Factor 2*a**5 + 14*a**4/3 + 4*a**3/3.
2*a**3*(a + 2)*(3*a + 1)/3
Factor -2*x**4/7 + 8*x**3/7 + 38*x**2/7 + 4*x.
-2*x*(x - 7)*(x + 1)*(x + 2)/7
Let 2*y**5 + 4*y**4 - 38*y**3 - 40*y**2 = 0. What is y?
-5, -1, 0, 4
Let 3*a**2/5 + 198*a/5 + 3267/5 = 0. Calculate a.
-33
Factor 2*f**5/3 - 22*f**4/3 + 26*f**3 - 30*f**2.
2*f**2*(f - 5)*(f - 3)**2/3
Factor -2*d**3/17 + 118*d**2/17 - 116*d/17.
-2*d*(d - 58)*(d - 1)/17
Factor -p**4/8 - 133*p**3/4 + 405*p**2/2 - 407*p + 272.
-(p - 2)**3*(p + 272)/8
Solve 3*i**4/8 - 45*i**3/8 + 189*i**2/8 - 147*i/8 = 0 for i.
0, 1, 7
Factor -2*x**3/9 + 4*x**2/3 + 2*x/9 - 20/3.
-2*(x - 5)*(x - 3)*(x + 2)/9
Factor 2*j**5 + j**4/2 - 12*j**3 + 13*j**2 - 2*j - 3/2.
(j - 1)**3*(j + 3)*(4*j + 1)/2
Determine x so that 2*x**4/7 - 6*x**3/7 - 4*x**2 + 24*x/7 + 80/7 = 0.
-2, 2, 5
Find p such that p**3/2 + 9*p**2 + 45*p/2 = 0.
-15, -3, 0
Suppose 2*h**3 - 28*h**2 + 58*h + 88 = 0. What is h?
-1, 4, 11
Factor 242*r**2/9 + 3080*r/3 + 9800.
2*(11*r + 210)**2/9
Factor -2*y**2/3 - 2*y + 8/3.
-2*(y - 1)*(y + 4)/3
Solve 2*g**5 - 158*g**4 + 3194*g**3 - 2730*g**2 - 6084*g = 0.
-1, 0, 2, 39
Find y, given that -4*y**5/3 + 652*y**3/3 - 2296*y**2/3 - 2176*y - 3584/3 = 0.
-14, -1, 8
Suppose -3*r**4/2 + 75*r**3/8 - 45*r**2/4 - 75*r/8 + 51/4 = 0. Calculate r.
-1, 1, 2, 17/4
Factor -4*j**3 - 216*j**2 - 1184*j - 1536.
-4*(j + 2)*(j + 4)*(j + 48)
Factor 7*g**4/4 + 89*g**3/4 - 31*g**2 + 7*g.
g*(g - 1)*(g + 14)*(7*g - 2)/4
Let d**5/4 + d**4/4 - 19*d**3/4 - 13*d**2/4 + 39*d/2 + 18 = 0. Calculate d.
-4, -2, -1, 3
Solve 5*r**5/2 - 85*r**4 + 895*r**3 - 2170*r**2 - 14755*r/2 - 4225 = 0.
-1, 10, 13
Let -4*v**3 + 140*v**2 + 144*v = 0. Calculate v.
-1, 0, 36
Factor -5*v**2 + 630*v + 3960.
-5*(v - 132)*(v + 6)
Suppose 121*f**2 + 352*f + 256 = 0. What is f?
-16/11
Solve 4*p**5/3 - 52*p**4/3 + 92*p**3/3 - 44*p**2/3 = 0.
0, 1, 11
Factor -2*o**2 + 60*o - 162.
-2*(o - 27)*(o - 3)
Determine a, given that 64*a**4 - 188*a**3 + 180*a**2 - 52*a - 4 = 0.
-1/16, 1
Solve -3*q**2/5 + 177*q/5 - 1092/5 = 0.
7, 52
Let y**3/7 + 1115*y**2/7 + 318*y = 0. What is y?
-1113, -2, 0
Solve 2*q**4/5 - 42*q**3/5 + 36*q**2/5 + 16*q = 0 for q.
-1, 0, 2, 20
Factor -